TSTP Solution File: KLE116+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE116+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 12:28:54 EST 2010
% Result : Theorem 223.42s
% Output : CNFRefutation 223.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 18
% Syntax : Number of formulae : 216 ( 216 unt; 0 def)
% Number of atoms : 216 ( 213 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 421 ( 80 sgn 64 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',left_annihilation) ).
fof(3,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',multiplicative_left_identity) ).
fof(4,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',additive_identity) ).
fof(5,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',left_distributivity) ).
fof(6,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',additive_commutativity) ).
fof(7,axiom,
! [X4] : c(X4) = antidomain(domain(X4)),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',complement) ).
fof(8,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',multiplicative_associativity) ).
fof(12,axiom,
! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',forward_diamond) ).
fof(13,axiom,
! [X4,X5] : forward_box(X4,X5) = c(forward_diamond(X4,c(X5))),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',forward_box) ).
fof(14,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',additive_associativity) ).
fof(15,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',multiplicative_right_identity) ).
fof(16,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',domain3) ).
fof(17,axiom,
! [X4,X5] : addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5))))) = antidomain(multiplication(X4,antidomain(antidomain(X5)))),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',domain2) ).
fof(18,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',right_distributivity) ).
fof(19,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',additive_idempotence) ).
fof(20,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',domain1) ).
fof(21,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',domain4) ).
fof(22,conjecture,
! [X4,X5,X6] : forward_box(X4,multiplication(domain(X5),domain(X6))) = multiplication(forward_box(X4,domain(X5)),forward_box(X4,domain(X6))),
file('/tmp/tmpEv0fDb/sel_KLE116+1.p_4',goals) ).
fof(23,negated_conjecture,
~ ! [X4,X5,X6] : forward_box(X4,multiplication(domain(X5),domain(X6))) = multiplication(forward_box(X4,domain(X5)),forward_box(X4,domain(X6))),
inference(assume_negation,[status(cth)],[22]) ).
fof(24,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[1]) ).
cnf(25,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[24]) ).
fof(28,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[3]) ).
cnf(29,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[4]) ).
cnf(31,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(33,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[6]) ).
cnf(35,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X5] : c(X5) = antidomain(domain(X5)),
inference(variable_rename,[status(thm)],[7]) ).
cnf(37,plain,
c(X1) = antidomain(domain(X1)),
inference(split_conjunct,[status(thm)],[36]) ).
fof(38,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[8]) ).
cnf(39,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[38]) ).
fof(46,plain,
! [X6,X7] : forward_diamond(X6,X7) = domain(multiplication(X6,domain(X7))),
inference(variable_rename,[status(thm)],[12]) ).
cnf(47,plain,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[46]) ).
fof(48,plain,
! [X6,X7] : forward_box(X6,X7) = c(forward_diamond(X6,c(X7))),
inference(variable_rename,[status(thm)],[13]) ).
cnf(49,plain,
forward_box(X1,X2) = c(forward_diamond(X1,c(X2))),
inference(split_conjunct,[status(thm)],[48]) ).
fof(50,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[14]) ).
cnf(51,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[50]) ).
fof(52,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[15]) ).
cnf(53,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[52]) ).
fof(54,plain,
! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
inference(variable_rename,[status(thm)],[16]) ).
cnf(55,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[54]) ).
fof(56,plain,
! [X6,X7] : addition(antidomain(multiplication(X6,X7)),antidomain(multiplication(X6,antidomain(antidomain(X7))))) = antidomain(multiplication(X6,antidomain(antidomain(X7)))),
inference(variable_rename,[status(thm)],[17]) ).
cnf(57,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(split_conjunct,[status(thm)],[56]) ).
fof(58,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[18]) ).
cnf(59,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[58]) ).
fof(60,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[19]) ).
cnf(61,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[60]) ).
fof(62,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[20]) ).
cnf(63,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[62]) ).
fof(64,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[21]) ).
cnf(65,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[64]) ).
fof(66,negated_conjecture,
? [X4,X5,X6] : forward_box(X4,multiplication(domain(X5),domain(X6))) != multiplication(forward_box(X4,domain(X5)),forward_box(X4,domain(X6))),
inference(fof_nnf,[status(thm)],[23]) ).
fof(67,negated_conjecture,
? [X7,X8,X9] : forward_box(X7,multiplication(domain(X8),domain(X9))) != multiplication(forward_box(X7,domain(X8)),forward_box(X7,domain(X9))),
inference(variable_rename,[status(thm)],[66]) ).
fof(68,negated_conjecture,
forward_box(esk1_0,multiplication(domain(esk2_0),domain(esk3_0))) != multiplication(forward_box(esk1_0,domain(esk2_0)),forward_box(esk1_0,domain(esk3_0))),
inference(skolemize,[status(esa)],[67]) ).
cnf(69,negated_conjecture,
forward_box(esk1_0,multiplication(domain(esk2_0),domain(esk3_0))) != multiplication(forward_box(esk1_0,domain(esk2_0)),forward_box(esk1_0,domain(esk3_0))),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(70,plain,
antidomain(domain(forward_diamond(X1,antidomain(domain(X2))))) = forward_box(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[49,37,theory(equality)]),37,theory(equality)]),
[unfolding] ).
cnf(71,plain,
antidomain(antidomain(antidomain(forward_diamond(X1,antidomain(antidomain(antidomain(X2))))))) = forward_box(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[70,65,theory(equality)]),65,theory(equality)]),
[unfolding] ).
cnf(72,plain,
antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))) = forward_diamond(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[47,65,theory(equality)]),65,theory(equality)]),
[unfolding] ).
cnf(73,negated_conjecture,
multiplication(forward_box(esk1_0,antidomain(antidomain(esk2_0))),forward_box(esk1_0,antidomain(antidomain(esk3_0)))) != forward_box(esk1_0,multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[69,65,theory(equality)]),65,theory(equality)]),65,theory(equality)]),65,theory(equality)]),
[unfolding] ).
cnf(74,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(forward_diamond(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))))))),antidomain(antidomain(antidomain(forward_diamond(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0)))))))))) != antidomain(antidomain(antidomain(forward_diamond(esk1_0,antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0)))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[73,71,theory(equality)]),71,theory(equality)]),71,theory(equality)]),
[unfolding] ).
cnf(75,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))))))))))),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0)))))))))))))) != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0)))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[74,72,theory(equality)]),72,theory(equality)]),72,theory(equality)]),
[unfolding] ).
cnf(76,plain,
zero = antidomain(one),
inference(spm,[status(thm)],[53,63,theory(equality)]) ).
cnf(80,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[31,35,theory(equality)]) ).
cnf(84,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[55,35,theory(equality)]) ).
cnf(91,plain,
multiplication(zero,X2) = multiplication(antidomain(X1),multiplication(X1,X2)),
inference(spm,[status(thm)],[39,63,theory(equality)]) ).
cnf(103,plain,
zero = multiplication(antidomain(X1),multiplication(X1,X2)),
inference(rw,[status(thm)],[91,25,theory(equality)]) ).
cnf(109,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[51,61,theory(equality)]) ).
cnf(112,plain,
addition(one,X2) = addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)),
inference(spm,[status(thm)],[51,84,theory(equality)]) ).
cnf(134,plain,
addition(multiplication(antidomain(X1),X2),zero) = multiplication(antidomain(X1),addition(X2,X1)),
inference(spm,[status(thm)],[59,63,theory(equality)]) ).
cnf(154,plain,
multiplication(antidomain(X1),X2) = multiplication(antidomain(X1),addition(X2,X1)),
inference(rw,[status(thm)],[134,31,theory(equality)]) ).
cnf(164,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[33,29,theory(equality)]) ).
cnf(172,plain,
addition(multiplication(X1,X2),zero) = multiplication(addition(X1,antidomain(X2)),X2),
inference(spm,[status(thm)],[33,63,theory(equality)]) ).
cnf(193,plain,
multiplication(X1,X2) = multiplication(addition(X1,antidomain(X2)),X2),
inference(rw,[status(thm)],[172,31,theory(equality)]) ).
cnf(240,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[84,76,theory(equality)]) ).
cnf(286,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[240,80,theory(equality)]) ).
cnf(399,plain,
multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),multiplication(X1,antidomain(antidomain(X2)))) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))),
inference(spm,[status(thm)],[193,57,theory(equality)]) ).
cnf(406,plain,
multiplication(addition(antidomain(X2),X1),X2) = multiplication(X1,X2),
inference(spm,[status(thm)],[193,35,theory(equality)]) ).
cnf(418,plain,
zero = multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[399,63,theory(equality)]) ).
cnf(447,plain,
multiplication(one,X1) = multiplication(antidomain(antidomain(X1)),X1),
inference(spm,[status(thm)],[406,84,theory(equality)]) ).
cnf(467,plain,
X1 = multiplication(antidomain(antidomain(X1)),X1),
inference(rw,[status(thm)],[447,29,theory(equality)]) ).
cnf(481,plain,
multiplication(X1,X2) = multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)),
inference(spm,[status(thm)],[39,467,theory(equality)]) ).
cnf(484,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(antidomain(antidomain(X1)),X2),X1),
inference(spm,[status(thm)],[33,467,theory(equality)]) ).
cnf(613,plain,
addition(antidomain(X1),one) = one,
inference(spm,[status(thm)],[109,84,theory(equality)]) ).
cnf(624,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[109,35,theory(equality)]) ).
cnf(628,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[613,35,theory(equality)]) ).
cnf(718,plain,
multiplication(antidomain(antidomain(multiplication(X1,X2))),multiplication(X1,multiplication(X2,X3))) = multiplication(X1,multiplication(X2,X3)),
inference(spm,[status(thm)],[481,39,theory(equality)]) ).
cnf(880,plain,
multiplication(antidomain(antidomain(antidomain(X1))),one) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
inference(spm,[status(thm)],[154,84,theory(equality)]) ).
cnf(900,plain,
multiplication(antidomain(addition(X1,X2)),addition(X1,X2)) = multiplication(antidomain(addition(X1,X2)),X1),
inference(spm,[status(thm)],[154,109,theory(equality)]) ).
cnf(903,plain,
multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),addition(one,X2)) = multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)),
inference(spm,[status(thm)],[154,112,theory(equality)]) ).
cnf(904,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(spm,[status(thm)],[154,35,theory(equality)]) ).
cnf(906,plain,
antidomain(antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
inference(rw,[status(thm)],[880,53,theory(equality)]) ).
cnf(907,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[906,467,theory(equality)]) ).
cnf(924,plain,
zero = multiplication(antidomain(addition(X1,X2)),X1),
inference(rw,[status(thm)],[900,63,theory(equality)]) ).
cnf(958,negated_conjecture,
multiplication(antidomain(multiplication(esk1_0,antidomain(esk2_0))),antidomain(multiplication(esk1_0,antidomain(esk3_0)))) != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_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)],[inference(rw,[status(thm)],[75,907,theory(equality)]),907,theory(equality)]),907,theory(equality)]),907,theory(equality)]),907,theory(equality)]),907,theory(equality)]),907,theory(equality)]),907,theory(equality)]),907,theory(equality)]),907,theory(equality)]) ).
cnf(959,negated_conjecture,
multiplication(antidomain(multiplication(esk1_0,antidomain(esk2_0))),antidomain(multiplication(esk1_0,antidomain(esk3_0)))) != antidomain(multiplication(esk1_0,antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[958,907,theory(equality)]),907,theory(equality)]),907,theory(equality)]),907,theory(equality)]) ).
cnf(1070,plain,
addition(zero,multiplication(X3,X1)) = multiplication(addition(antidomain(addition(X1,X2)),X3),X1),
inference(spm,[status(thm)],[33,924,theory(equality)]) ).
cnf(1072,plain,
multiplication(antidomain(multiplication(addition(X1,X3),X2)),multiplication(X1,X2)) = zero,
inference(spm,[status(thm)],[924,33,theory(equality)]) ).
cnf(1087,plain,
multiplication(antidomain(addition(X2,X1)),X1) = zero,
inference(spm,[status(thm)],[924,35,theory(equality)]) ).
cnf(1096,plain,
multiplication(X3,X1) = multiplication(addition(antidomain(addition(X1,X2)),X3),X1),
inference(rw,[status(thm)],[1070,80,theory(equality)]) ).
cnf(1241,plain,
multiplication(zero,X3) = multiplication(antidomain(addition(X1,X2)),multiplication(X2,X3)),
inference(spm,[status(thm)],[39,1087,theory(equality)]) ).
cnf(1245,plain,
addition(multiplication(antidomain(addition(X1,X2)),X3),zero) = multiplication(antidomain(addition(X1,X2)),addition(X3,X2)),
inference(spm,[status(thm)],[59,1087,theory(equality)]) ).
cnf(1273,plain,
zero = multiplication(antidomain(addition(X1,X2)),multiplication(X2,X3)),
inference(rw,[status(thm)],[1241,25,theory(equality)]) ).
cnf(1276,plain,
multiplication(antidomain(addition(X1,X2)),X3) = multiplication(antidomain(addition(X1,X2)),addition(X3,X2)),
inference(rw,[status(thm)],[1245,31,theory(equality)]) ).
cnf(1574,plain,
multiplication(zero,X3) = multiplication(antidomain(multiplication(X1,X2)),multiplication(multiplication(X1,antidomain(antidomain(X2))),X3)),
inference(spm,[status(thm)],[39,418,theory(equality)]) ).
cnf(1585,plain,
multiplication(antidomain(zero),multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))) = zero,
inference(spm,[status(thm)],[418,103,theory(equality)]) ).
cnf(1610,plain,
multiplication(antidomain(zero),multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X2)))) = zero,
inference(spm,[status(thm)],[418,1087,theory(equality)]) ).
cnf(1625,plain,
zero = multiplication(antidomain(multiplication(X1,X2)),multiplication(multiplication(X1,antidomain(antidomain(X2))),X3)),
inference(rw,[status(thm)],[1574,25,theory(equality)]) ).
cnf(1626,plain,
zero = multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,multiplication(antidomain(antidomain(X2)),X3))),
inference(rw,[status(thm)],[1625,39,theory(equality)]) ).
cnf(1637,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1585,286,theory(equality)]),29,theory(equality)]) ).
cnf(1658,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X2))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1610,286,theory(equality)]),29,theory(equality)]) ).
cnf(1715,plain,
addition(zero,multiplication(antidomain(X1),X3)) = multiplication(antidomain(X1),addition(antidomain(antidomain(multiplication(X1,X2))),X3)),
inference(spm,[status(thm)],[59,1637,theory(equality)]) ).
cnf(1759,plain,
multiplication(antidomain(X1),X3) = multiplication(antidomain(X1),addition(antidomain(antidomain(multiplication(X1,X2))),X3)),
inference(rw,[status(thm)],[1715,80,theory(equality)]) ).
cnf(2100,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X1,X3),X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X3,X2)),
inference(spm,[status(thm)],[904,33,theory(equality)]) ).
cnf(3263,plain,
multiplication(antidomain(zero),multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(multiplication(X2,X3))))) = zero,
inference(spm,[status(thm)],[418,1273,theory(equality)]) ).
cnf(3338,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(multiplication(X2,X3)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3263,286,theory(equality)]),29,theory(equality)]) ).
cnf(18252,plain,
multiplication(addition(antidomain(antidomain(X1)),X2),X1) = multiplication(addition(one,X2),X1),
inference(rw,[status(thm)],[484,164,theory(equality)]) ).
cnf(24501,plain,
multiplication(one,X1) = multiplication(antidomain(antidomain(addition(X1,X2))),X1),
inference(spm,[status(thm)],[1096,84,theory(equality)]) ).
cnf(24642,plain,
X1 = multiplication(antidomain(antidomain(addition(X1,X2))),X1),
inference(rw,[status(thm)],[24501,29,theory(equality)]) ).
cnf(24721,plain,
multiplication(X1,X3) = multiplication(antidomain(antidomain(addition(X1,X2))),multiplication(X1,X3)),
inference(spm,[status(thm)],[39,24642,theory(equality)]) ).
cnf(24732,plain,
multiplication(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
inference(spm,[status(thm)],[24642,57,theory(equality)]) ).
cnf(24753,plain,
multiplication(antidomain(antidomain(addition(X2,X1))),X1) = X1,
inference(spm,[status(thm)],[24642,624,theory(equality)]) ).
cnf(24859,plain,
multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[24732,907,theory(equality)]) ).
cnf(42470,plain,
multiplication(antidomain(multiplication(one,X2)),multiplication(antidomain(X1),X2)) = zero,
inference(spm,[status(thm)],[1072,84,theory(equality)]) ).
cnf(42816,plain,
multiplication(antidomain(X2),multiplication(antidomain(X1),X2)) = zero,
inference(rw,[status(thm)],[42470,29,theory(equality)]) ).
cnf(43093,plain,
addition(zero,multiplication(antidomain(X1),X3)) = multiplication(antidomain(X1),addition(multiplication(antidomain(X2),X1),X3)),
inference(spm,[status(thm)],[59,42816,theory(equality)]) ).
cnf(43130,plain,
multiplication(antidomain(zero),multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1))))) = zero,
inference(spm,[status(thm)],[418,42816,theory(equality)]) ).
cnf(43228,plain,
multiplication(antidomain(zero),multiplication(antidomain(X1),multiplication(antidomain(antidomain(multiplication(antidomain(X2),X1))),X3))) = zero,
inference(spm,[status(thm)],[1626,42816,theory(equality)]) ).
cnf(43342,plain,
multiplication(antidomain(X1),X3) = multiplication(antidomain(X1),addition(multiplication(antidomain(X2),X1),X3)),
inference(rw,[status(thm)],[43093,80,theory(equality)]) ).
cnf(43377,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[43130,286,theory(equality)]),29,theory(equality)]) ).
cnf(43469,plain,
multiplication(antidomain(X1),multiplication(antidomain(antidomain(multiplication(antidomain(X2),X1))),X3)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[43228,286,theory(equality)]),29,theory(equality)]) ).
cnf(84852,plain,
multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[718,467,theory(equality)]) ).
cnf(150645,plain,
antidomain(addition(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[903,1276,theory(equality)]),53,theory(equality)]) ).
cnf(152090,plain,
antidomain(addition(antidomain(antidomain(antidomain(X1))),X1)) = zero,
inference(spm,[status(thm)],[1658,150645,theory(equality)]) ).
cnf(152138,plain,
antidomain(addition(antidomain(antidomain(antidomain(multiplication(X1,X2)))),X1)) = zero,
inference(spm,[status(thm)],[3338,150645,theory(equality)]) ).
cnf(152276,plain,
antidomain(addition(X1,antidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[152090,907,theory(equality)]),35,theory(equality)]) ).
cnf(152319,plain,
antidomain(addition(X1,antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[152138,907,theory(equality)]),35,theory(equality)]) ).
cnf(238109,plain,
multiplication(antidomain(X1),one) = multiplication(antidomain(X1),antidomain(antidomain(antidomain(multiplication(X1,X2))))),
inference(spm,[status(thm)],[1759,84,theory(equality)]) ).
cnf(238690,plain,
antidomain(X1) = multiplication(antidomain(X1),antidomain(antidomain(antidomain(multiplication(X1,X2))))),
inference(rw,[status(thm)],[238109,53,theory(equality)]) ).
cnf(238691,plain,
antidomain(X1) = multiplication(antidomain(X1),antidomain(multiplication(X1,X2))),
inference(rw,[status(thm)],[238690,907,theory(equality)]) ).
cnf(239334,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(X1)) = multiplication(addition(one,antidomain(X1)),antidomain(multiplication(X1,X2))),
inference(spm,[status(thm)],[164,238691,theory(equality)]) ).
cnf(239415,plain,
multiplication(antidomain(antidomain(antidomain(addition(X1,X2)))),antidomain(X2)) = antidomain(antidomain(antidomain(addition(X1,X2)))),
inference(spm,[status(thm)],[238691,24753,theory(equality)]) ).
cnf(239598,plain,
multiplication(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))),antidomain(multiplication(X1,X2))) = antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))),
inference(spm,[status(thm)],[238691,84852,theory(equality)]) ).
cnf(239865,plain,
addition(antidomain(X1),antidomain(multiplication(X1,X2))) = multiplication(addition(one,antidomain(X1)),antidomain(multiplication(X1,X2))),
inference(rw,[status(thm)],[239334,35,theory(equality)]) ).
cnf(239866,plain,
addition(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[239865,628,theory(equality)]),29,theory(equality)]) ).
cnf(239942,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(X2)) = antidomain(antidomain(antidomain(addition(X1,X2)))),
inference(rw,[status(thm)],[239415,907,theory(equality)]) ).
cnf(239943,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(X2)) = antidomain(addition(X1,X2)),
inference(rw,[status(thm)],[239942,907,theory(equality)]) ).
cnf(240125,plain,
antidomain(multiplication(X1,X2)) = antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[239598,907,theory(equality)]),24859,theory(equality)]) ).
cnf(240126,plain,
antidomain(multiplication(X1,X2)) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[240125,907,theory(equality)]) ).
cnf(240989,plain,
antidomain(multiplication(X1,multiplication(X2,antidomain(antidomain(X3))))) = antidomain(multiplication(multiplication(X1,X2),X3)),
inference(spm,[status(thm)],[240126,39,theory(equality)]) ).
cnf(241268,plain,
antidomain(multiplication(X1,antidomain(zero))) = antidomain(multiplication(X1,addition(X2,antidomain(X2)))),
inference(spm,[status(thm)],[240126,152276,theory(equality)]) ).
cnf(241270,plain,
antidomain(multiplication(X1,antidomain(zero))) = antidomain(multiplication(X1,addition(X2,antidomain(multiplication(X2,X3))))),
inference(spm,[status(thm)],[240126,152319,theory(equality)]) ).
cnf(241450,negated_conjecture,
multiplication(antidomain(multiplication(esk1_0,antidomain(esk2_0))),antidomain(multiplication(esk1_0,antidomain(esk3_0)))) != antidomain(multiplication(esk1_0,antidomain(multiplication(antidomain(antidomain(esk2_0)),esk3_0)))),
inference(rw,[status(thm)],[959,240126,theory(equality)]) ).
cnf(241459,plain,
antidomain(multiplication(X1,multiplication(X2,antidomain(antidomain(X3))))) = antidomain(multiplication(X1,multiplication(X2,X3))),
inference(rw,[status(thm)],[240989,39,theory(equality)]) ).
cnf(241753,plain,
antidomain(X1) = antidomain(multiplication(X1,addition(X2,antidomain(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[241268,286,theory(equality)]),53,theory(equality)]) ).
cnf(241755,plain,
antidomain(X1) = antidomain(multiplication(X1,addition(X2,antidomain(multiplication(X2,X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[241270,286,theory(equality)]),53,theory(equality)]) ).
cnf(247481,plain,
antidomain(multiplication(antidomain(X1),antidomain(multiplication(antidomain(X2),X1)))) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[241753,43342,theory(equality)]) ).
cnf(253090,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),antidomain(antidomain(antidomain(X2)))) = zero,
inference(spm,[status(thm)],[43377,247481,theory(equality)]) ).
cnf(253105,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),multiplication(antidomain(antidomain(antidomain(X2))),X3)) = zero,
inference(spm,[status(thm)],[43469,247481,theory(equality)]) ).
cnf(253661,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),antidomain(X2)) = zero,
inference(rw,[status(thm)],[253090,907,theory(equality)]) ).
cnf(253679,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),multiplication(antidomain(X2),X3)) = zero,
inference(rw,[status(thm)],[253105,907,theory(equality)]) ).
cnf(254499,plain,
antidomain(zero) = antidomain(multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),X2)),
inference(spm,[status(thm)],[240126,253661,theory(equality)]) ).
cnf(254959,plain,
one = antidomain(multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),X2)),
inference(rw,[status(thm)],[254499,286,theory(equality)]) ).
cnf(254990,plain,
multiplication(one,multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),X2)) = zero,
inference(spm,[status(thm)],[63,254959,theory(equality)]) ).
cnf(255421,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),X2) = zero,
inference(rw,[status(thm)],[254990,29,theory(equality)]) ).
cnf(263295,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),X1) = multiplication(addition(one,antidomain(multiplication(antidomain(X1),X2))),X1),
inference(spm,[status(thm)],[18252,239866,theory(equality)]) ).
cnf(263313,plain,
multiplication(antidomain(antidomain(antidomain(multiplication(X1,X2)))),antidomain(X1)) = antidomain(X1),
inference(spm,[status(thm)],[24642,239866,theory(equality)]) ).
cnf(263339,plain,
multiplication(antidomain(antidomain(antidomain(multiplication(X1,X2)))),multiplication(antidomain(X1),X3)) = multiplication(antidomain(X1),X3),
inference(spm,[status(thm)],[24721,239866,theory(equality)]) ).
cnf(263503,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),antidomain(X1)) = antidomain(antidomain(multiplication(antidomain(X1),X2))),
inference(spm,[status(thm)],[150645,239866,theory(equality)]) ).
cnf(263779,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[263295,628,theory(equality)]),29,theory(equality)]) ).
cnf(263799,plain,
multiplication(antidomain(multiplication(X1,X2)),antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[263313,907,theory(equality)]) ).
cnf(263823,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(antidomain(X1),X3)) = multiplication(antidomain(X1),X3),
inference(rw,[status(thm)],[263339,907,theory(equality)]) ).
cnf(265493,plain,
multiplication(antidomain(antidomain(multiplication(X1,X2))),antidomain(antidomain(X1))) = antidomain(antidomain(multiplication(X1,X2))),
inference(spm,[status(thm)],[238691,263799,theory(equality)]) ).
cnf(274094,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),multiplication(antidomain(X2),X3)))),X2) = zero,
inference(spm,[status(thm)],[253679,263779,theory(equality)]) ).
cnf(279030,plain,
antidomain(multiplication(antidomain(X1),antidomain(multiplication(multiplication(antidomain(X2),X1),X3)))) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[241755,43342,theory(equality)]) ).
cnf(279729,plain,
antidomain(multiplication(antidomain(X1),antidomain(multiplication(antidomain(X2),multiplication(X1,X3))))) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[279030,39,theory(equality)]) ).
cnf(354395,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),multiplication(one,X2)) = multiplication(antidomain(multiplication(antidomain(X1),X2)),multiplication(antidomain(antidomain(X1)),X2)),
inference(spm,[status(thm)],[2100,84,theory(equality)]) ).
cnf(355105,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),X2) = multiplication(antidomain(multiplication(antidomain(X1),X2)),multiplication(antidomain(antidomain(X1)),X2)),
inference(rw,[status(thm)],[354395,29,theory(equality)]) ).
cnf(355106,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),X2) = multiplication(antidomain(antidomain(X1)),X2),
inference(rw,[status(thm)],[355105,263823,theory(equality)]) ).
cnf(356325,plain,
multiplication(antidomain(zero),X2) = multiplication(antidomain(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2))))),X2),
inference(spm,[status(thm)],[355106,255421,theory(equality)]) ).
cnf(356383,plain,
multiplication(antidomain(zero),X2) = multiplication(antidomain(antidomain(antidomain(multiplication(antidomain(X1),multiplication(antidomain(X2),X3))))),X2),
inference(spm,[status(thm)],[355106,274094,theory(equality)]) ).
cnf(356476,plain,
multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),X2) = multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2),
inference(spm,[status(thm)],[355106,355106,theory(equality)]) ).
cnf(356882,plain,
X2 = multiplication(antidomain(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2))))),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[356325,286,theory(equality)]),29,theory(equality)]) ).
cnf(356883,plain,
X2 = multiplication(antidomain(multiplication(antidomain(X1),antidomain(X2))),X2),
inference(rw,[status(thm)],[356882,907,theory(equality)]) ).
cnf(356947,plain,
X2 = multiplication(antidomain(antidomain(antidomain(multiplication(antidomain(X1),multiplication(antidomain(X2),X3))))),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[356383,286,theory(equality)]),29,theory(equality)]) ).
cnf(356948,plain,
X2 = multiplication(antidomain(multiplication(antidomain(X1),multiplication(antidomain(X2),X3))),X2),
inference(rw,[status(thm)],[356947,907,theory(equality)]) ).
cnf(357048,plain,
multiplication(antidomain(X1),X2) = multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[356476,355106,theory(equality)]),907,theory(equality)]) ).
cnf(358139,plain,
multiplication(antidomain(X2),multiplication(antidomain(X1),antidomain(X2))) = multiplication(antidomain(X1),antidomain(X2)),
inference(spm,[status(thm)],[263779,356883,theory(equality)]) ).
cnf(368629,plain,
multiplication(X2,X4) = multiplication(antidomain(multiplication(antidomain(X1),multiplication(antidomain(X2),X3))),multiplication(X2,X4)),
inference(spm,[status(thm)],[39,356948,theory(equality)]) ).
cnf(378268,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X2),antidomain(X1)))),antidomain(antidomain(antidomain(X1)))) = antidomain(antidomain(multiplication(antidomain(X2),antidomain(X1)))),
inference(spm,[status(thm)],[265493,358139,theory(equality)]) ).
cnf(378735,plain,
multiplication(antidomain(X2),antidomain(X1)) = antidomain(antidomain(multiplication(antidomain(X2),antidomain(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[378268,907,theory(equality)]),357048,theory(equality)]) ).
cnf(379225,plain,
antidomain(antidomain(multiplication(antidomain(X1),X2))) = multiplication(antidomain(X1),antidomain(antidomain(X2))),
inference(spm,[status(thm)],[378735,240126,theory(equality)]) ).
cnf(379407,plain,
multiplication(multiplication(antidomain(X1),antidomain(X2)),antidomain(X1)) = multiplication(antidomain(X1),antidomain(X2)),
inference(spm,[status(thm)],[263503,378735,theory(equality)]) ).
cnf(380102,plain,
multiplication(antidomain(X2),antidomain(X1)) = multiplication(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[379407,39,theory(equality)]),358139,theory(equality)]) ).
cnf(382237,plain,
multiplication(antidomain(antidomain(X1)),antidomain(X4)) = multiplication(antidomain(X4),antidomain(antidomain(X1))),
inference(spm,[status(thm)],[380102,279729,theory(equality)]) ).
cnf(382715,plain,
multiplication(antidomain(antidomain(X1)),antidomain(X4)) = antidomain(antidomain(multiplication(antidomain(X4),X1))),
inference(rw,[status(thm)],[382237,379225,theory(equality)]) ).
cnf(383777,plain,
multiplication(antidomain(antidomain(antidomain(multiplication(antidomain(X2),X1)))),antidomain(X2)) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X2)),
inference(spm,[status(thm)],[355106,382715,theory(equality)]) ).
cnf(384154,plain,
multiplication(antidomain(X2),antidomain(multiplication(antidomain(X2),X1))) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[383777,907,theory(equality)]),380102,theory(equality)]) ).
cnf(384155,plain,
multiplication(antidomain(X2),antidomain(multiplication(antidomain(X2),X1))) = multiplication(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[384154,907,theory(equality)]) ).
cnf(393754,plain,
multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X2))) = multiplication(antidomain(addition(X2,X1)),antidomain(X1)),
inference(spm,[status(thm)],[384155,154,theory(equality)]) ).
cnf(394277,plain,
multiplication(antidomain(X2),antidomain(X1)) = multiplication(antidomain(addition(X2,X1)),antidomain(X1)),
inference(rw,[status(thm)],[393754,384155,theory(equality)]) ).
cnf(394278,plain,
multiplication(antidomain(X2),antidomain(X1)) = antidomain(addition(X2,X1)),
inference(rw,[status(thm)],[394277,239943,theory(equality)]) ).
cnf(395300,plain,
antidomain(addition(antidomain(X1),X2)) = antidomain(antidomain(multiplication(antidomain(X2),X1))),
inference(rw,[status(thm)],[382715,394278,theory(equality)]) ).
cnf(395301,plain,
antidomain(addition(X1,antidomain(X2))) = antidomain(antidomain(multiplication(antidomain(X1),X2))),
inference(rw,[status(thm)],[379225,394278,theory(equality)]) ).
cnf(395340,negated_conjecture,
antidomain(multiplication(esk1_0,addition(antidomain(esk2_0),antidomain(esk3_0)))) != antidomain(multiplication(esk1_0,antidomain(multiplication(antidomain(antidomain(esk2_0)),esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[241450,394278,theory(equality)]),59,theory(equality)]) ).
cnf(398618,plain,
antidomain(antidomain(multiplication(antidomain(antidomain(X1)),X2))) = antidomain(antidomain(multiplication(antidomain(antidomain(X2)),X1))),
inference(spm,[status(thm)],[395300,395301,theory(equality)]) ).
cnf(454151,plain,
antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(X2)),X1)))) = antidomain(multiplication(antidomain(antidomain(X1)),X2)),
inference(spm,[status(thm)],[907,398618,theory(equality)]) ).
cnf(454967,plain,
antidomain(multiplication(antidomain(antidomain(X2)),X1)) = antidomain(multiplication(antidomain(antidomain(X1)),X2)),
inference(rw,[status(thm)],[454151,907,theory(equality)]) ).
cnf(963117,plain,
antidomain(multiplication(X2,antidomain(antidomain(X4)))) = antidomain(multiplication(antidomain(multiplication(antidomain(X1),multiplication(antidomain(X2),X3))),multiplication(X2,X4))),
inference(spm,[status(thm)],[241459,368629,theory(equality)]) ).
cnf(964581,plain,
antidomain(multiplication(X2,antidomain(antidomain(X4)))) = antidomain(multiplication(X2,X4)),
inference(rw,[status(thm)],[963117,368629,theory(equality)]) ).
cnf(968369,plain,
antidomain(multiplication(X1,antidomain(antidomain(antidomain(multiplication(antidomain(X3),X2)))))) = antidomain(multiplication(X1,addition(antidomain(X2),X3))),
inference(spm,[status(thm)],[964581,395300,theory(equality)]) ).
cnf(969150,plain,
antidomain(multiplication(X1,antidomain(multiplication(antidomain(X3),X2)))) = antidomain(multiplication(X1,addition(antidomain(X2),X3))),
inference(rw,[status(thm)],[968369,907,theory(equality)]) ).
cnf(1223613,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[395340,969150,theory(equality)]),454967,theory(equality)]) ).
cnf(1223614,negated_conjecture,
$false,
inference(cn,[status(thm)],[1223613,theory(equality)]) ).
cnf(1223615,negated_conjecture,
$false,
1223614,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE116+1.p
% --creating new selector for [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/tmpEv0fDb/sel_KLE116+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpEv0fDb/sel_KLE116+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+4.ax, KLE001+6.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpEv0fDb/sel_KLE116+1.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+4.ax, KLE001+6.ax]
% -running prover on /tmp/tmpEv0fDb/sel_KLE116+1.p_4 with time limit 54
% -prover status Theorem
% Problem KLE116+1.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE116+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE116+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
%
%------------------------------------------------------------------------------