TSTP Solution File: KLE107+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE107+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 12:20:16 EST 2010
% Result : Theorem 92.45s
% Output : CNFRefutation 92.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 24
% Syntax : Number of formulae : 324 ( 319 unt; 0 def)
% Number of atoms : 329 ( 327 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 0 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 486 ( 45 sgn 80 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',left_distributivity) ).
fof(2,axiom,
! [X4] : codomain(X4) = coantidomain(coantidomain(X4)),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',codomain4) ).
fof(3,axiom,
! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',codomain3) ).
fof(4,axiom,
! [X4,X5] : addition(coantidomain(multiplication(X4,X5)),coantidomain(multiplication(coantidomain(coantidomain(X4)),X5))) = coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',codomain2) ).
fof(5,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',codomain1) ).
fof(6,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',right_annihilation) ).
fof(7,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',multiplicative_right_identity) ).
fof(8,axiom,
! [X4,X5] : forward_box(X4,X5) = c(forward_diamond(X4,c(X5))),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',forward_box) ).
fof(9,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',multiplicative_left_identity) ).
fof(10,axiom,
! [X4,X5] : backward_diamond(X4,X5) = codomain(multiplication(codomain(X5),X4)),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',backward_diamond) ).
fof(11,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',domain3) ).
fof(12,axiom,
! [X4,X5] : addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5))))) = antidomain(multiplication(X4,antidomain(antidomain(X5)))),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',domain2) ).
fof(13,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',domain1) ).
fof(14,axiom,
! [X4] : c(X4) = antidomain(domain(X4)),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',complement) ).
fof(15,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',domain4) ).
fof(16,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',left_annihilation) ).
fof(17,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',additive_identity) ).
fof(18,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',additive_idempotence) ).
fof(19,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',multiplicative_associativity) ).
fof(20,axiom,
! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',forward_diamond) ).
fof(21,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',additive_commutativity) ).
fof(22,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',additive_associativity) ).
fof(23,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',right_distributivity) ).
fof(24,conjecture,
! [X4,X5,X6] :
( addition(backward_diamond(X4,domain(X5)),domain(X6)) = domain(X6)
=> addition(domain(X5),forward_box(X4,domain(X6))) = forward_box(X4,domain(X6)) ),
file('/tmp/tmpNr4ar-/sel_KLE107+1.p_2',goals) ).
fof(25,negated_conjecture,
~ ! [X4,X5,X6] :
( addition(backward_diamond(X4,domain(X5)),domain(X6)) = domain(X6)
=> addition(domain(X5),forward_box(X4,domain(X6))) = forward_box(X4,domain(X6)) ),
inference(assume_negation,[status(cth)],[24]) ).
fof(26,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[1]) ).
cnf(27,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X5] : codomain(X5) = coantidomain(coantidomain(X5)),
inference(variable_rename,[status(thm)],[2]) ).
cnf(29,plain,
codomain(X1) = coantidomain(coantidomain(X1)),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X5] : addition(coantidomain(coantidomain(X5)),coantidomain(X5)) = one,
inference(variable_rename,[status(thm)],[3]) ).
cnf(31,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X6,X7] : addition(coantidomain(multiplication(X6,X7)),coantidomain(multiplication(coantidomain(coantidomain(X6)),X7))) = coantidomain(multiplication(coantidomain(coantidomain(X6)),X7)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(33,plain,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X5] : multiplication(X5,coantidomain(X5)) = zero,
inference(variable_rename,[status(thm)],[5]) ).
cnf(35,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[6]) ).
cnf(37,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[36]) ).
fof(38,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[7]) ).
cnf(39,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[38]) ).
fof(40,plain,
! [X6,X7] : forward_box(X6,X7) = c(forward_diamond(X6,c(X7))),
inference(variable_rename,[status(thm)],[8]) ).
cnf(41,plain,
forward_box(X1,X2) = c(forward_diamond(X1,c(X2))),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[9]) ).
cnf(43,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X6,X7] : backward_diamond(X6,X7) = codomain(multiplication(codomain(X7),X6)),
inference(variable_rename,[status(thm)],[10]) ).
cnf(45,plain,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,plain,
! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
inference(variable_rename,[status(thm)],[11]) ).
cnf(47,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[46]) ).
fof(48,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)],[12]) ).
cnf(49,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(split_conjunct,[status(thm)],[48]) ).
fof(50,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[13]) ).
cnf(51,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[50]) ).
fof(52,plain,
! [X5] : c(X5) = antidomain(domain(X5)),
inference(variable_rename,[status(thm)],[14]) ).
cnf(53,plain,
c(X1) = antidomain(domain(X1)),
inference(split_conjunct,[status(thm)],[52]) ).
fof(54,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[15]) ).
cnf(55,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[54]) ).
fof(56,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[16]) ).
cnf(57,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[56]) ).
fof(58,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[17]) ).
cnf(59,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[58]) ).
fof(60,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[18]) ).
cnf(61,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[60]) ).
fof(62,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[19]) ).
cnf(63,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[62]) ).
fof(64,plain,
! [X6,X7] : forward_diamond(X6,X7) = domain(multiplication(X6,domain(X7))),
inference(variable_rename,[status(thm)],[20]) ).
cnf(65,plain,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[64]) ).
fof(66,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[21]) ).
cnf(67,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[66]) ).
fof(68,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[22]) ).
cnf(69,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[68]) ).
fof(70,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[23]) ).
cnf(71,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[70]) ).
fof(72,negated_conjecture,
? [X4,X5,X6] :
( addition(backward_diamond(X4,domain(X5)),domain(X6)) = domain(X6)
& addition(domain(X5),forward_box(X4,domain(X6))) != forward_box(X4,domain(X6)) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(73,negated_conjecture,
? [X7,X8,X9] :
( addition(backward_diamond(X7,domain(X8)),domain(X9)) = domain(X9)
& addition(domain(X8),forward_box(X7,domain(X9))) != forward_box(X7,domain(X9)) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,negated_conjecture,
( addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) = domain(esk3_0)
& addition(domain(esk2_0),forward_box(esk1_0,domain(esk3_0))) != forward_box(esk1_0,domain(esk3_0)) ),
inference(skolemize,[status(esa)],[73]) ).
cnf(75,negated_conjecture,
addition(domain(esk2_0),forward_box(esk1_0,domain(esk3_0))) != forward_box(esk1_0,domain(esk3_0)),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(76,negated_conjecture,
addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) = domain(esk3_0),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(77,plain,
coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))) = backward_diamond(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[45,29,theory(equality)]),29,theory(equality)]),
[unfolding] ).
cnf(78,plain,
antidomain(antidomain(antidomain(X1))) = c(X1),
inference(rw,[status(thm)],[53,55,theory(equality)]),
[unfolding] ).
cnf(79,plain,
antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))) = forward_diamond(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[65,55,theory(equality)]),55,theory(equality)]),
[unfolding] ).
cnf(80,negated_conjecture,
addition(backward_diamond(esk1_0,antidomain(antidomain(esk2_0))),antidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[76,55,theory(equality)]),55,theory(equality)]),55,theory(equality)]),
[unfolding] ).
cnf(81,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),forward_box(esk1_0,antidomain(antidomain(esk3_0)))) != forward_box(esk1_0,antidomain(antidomain(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[75,55,theory(equality)]),55,theory(equality)]),55,theory(equality)]),
[unfolding] ).
cnf(82,plain,
antidomain(antidomain(antidomain(forward_diamond(X1,antidomain(antidomain(antidomain(X2))))))) = forward_box(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[41,78,theory(equality)]),78,theory(equality)]),
[unfolding] ).
cnf(83,negated_conjecture,
addition(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(antidomain(antidomain(esk3_0))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[81,82,theory(equality)]),82,theory(equality)]),
[unfolding] ).
cnf(84,negated_conjecture,
addition(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(antidomain(antidomain(esk3_0))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[83,79,theory(equality)]),79,theory(equality)]),
[unfolding] ).
cnf(85,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[80,77,theory(equality)]),
[unfolding] ).
cnf(86,plain,
zero = coantidomain(one),
inference(spm,[status(thm)],[43,35,theory(equality)]) ).
cnf(87,plain,
zero = antidomain(one),
inference(spm,[status(thm)],[39,51,theory(equality)]) ).
cnf(90,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[59,67,theory(equality)]) ).
cnf(94,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[31,67,theory(equality)]) ).
cnf(95,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[47,67,theory(equality)]) ).
cnf(97,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[69,61,theory(equality)]) ).
cnf(100,plain,
addition(one,X2) = addition(coantidomain(X1),addition(coantidomain(coantidomain(X1)),X2)),
inference(spm,[status(thm)],[69,94,theory(equality)]) ).
cnf(101,plain,
addition(one,X2) = addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)),
inference(spm,[status(thm)],[69,95,theory(equality)]) ).
cnf(103,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[67,69,theory(equality)]) ).
cnf(105,plain,
addition(addition(X2,X1),X3) = addition(X1,addition(X2,X3)),
inference(spm,[status(thm)],[69,67,theory(equality)]) ).
cnf(110,plain,
addition(X2,addition(X1,X3)) = addition(X1,addition(X2,X3)),
inference(rw,[status(thm)],[105,69,theory(equality)]) ).
cnf(119,plain,
multiplication(zero,X2) = multiplication(X1,multiplication(coantidomain(X1),X2)),
inference(spm,[status(thm)],[63,35,theory(equality)]) ).
cnf(120,plain,
multiplication(zero,X2) = multiplication(antidomain(X1),multiplication(X1,X2)),
inference(spm,[status(thm)],[63,51,theory(equality)]) ).
cnf(130,plain,
zero = multiplication(X1,multiplication(coantidomain(X1),X2)),
inference(rw,[status(thm)],[119,57,theory(equality)]) ).
cnf(131,plain,
zero = multiplication(antidomain(X1),multiplication(X1,X2)),
inference(rw,[status(thm)],[120,57,theory(equality)]) ).
cnf(134,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0)))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[85,67,theory(equality)]) ).
cnf(137,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[71,39,theory(equality)]) ).
cnf(146,plain,
addition(multiplication(X1,X2),zero) = multiplication(X1,addition(X2,coantidomain(X1))),
inference(spm,[status(thm)],[71,35,theory(equality)]) ).
cnf(147,plain,
addition(zero,multiplication(antidomain(X1),X2)) = multiplication(antidomain(X1),addition(X1,X2)),
inference(spm,[status(thm)],[71,51,theory(equality)]) ).
cnf(148,plain,
addition(multiplication(antidomain(X1),X2),zero) = multiplication(antidomain(X1),addition(X2,X1)),
inference(spm,[status(thm)],[71,51,theory(equality)]) ).
cnf(166,plain,
multiplication(X1,X2) = multiplication(X1,addition(X2,coantidomain(X1))),
inference(rw,[status(thm)],[146,59,theory(equality)]) ).
cnf(167,plain,
multiplication(antidomain(X1),X2) = multiplication(antidomain(X1),addition(X2,X1)),
inference(rw,[status(thm)],[148,59,theory(equality)]) ).
cnf(177,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[27,43,theory(equality)]) ).
cnf(184,plain,
addition(multiplication(X1,coantidomain(X2)),zero) = multiplication(addition(X1,X2),coantidomain(X2)),
inference(spm,[status(thm)],[27,35,theory(equality)]) ).
cnf(186,plain,
addition(multiplication(X1,X2),zero) = multiplication(addition(X1,antidomain(X2)),X2),
inference(spm,[status(thm)],[27,51,theory(equality)]) ).
cnf(188,plain,
addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3)) = multiplication(addition(multiplication(X1,X2),X4),X3),
inference(spm,[status(thm)],[27,63,theory(equality)]) ).
cnf(205,plain,
multiplication(X1,coantidomain(X2)) = multiplication(addition(X1,X2),coantidomain(X2)),
inference(rw,[status(thm)],[184,59,theory(equality)]) ).
cnf(206,plain,
multiplication(X1,X2) = multiplication(addition(X1,antidomain(X2)),X2),
inference(rw,[status(thm)],[186,59,theory(equality)]) ).
cnf(233,plain,
addition(coantidomain(X1),coantidomain(multiplication(coantidomain(coantidomain(X1)),one))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),one)),
inference(spm,[status(thm)],[33,39,theory(equality)]) ).
cnf(244,plain,
addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1)))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),one)),
inference(rw,[status(thm)],[233,39,theory(equality)]) ).
cnf(245,plain,
addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1)))) = coantidomain(coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[244,39,theory(equality)]) ).
cnf(252,plain,
addition(zero,coantidomain(zero)) = one,
inference(spm,[status(thm)],[94,86,theory(equality)]) ).
cnf(257,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[95,87,theory(equality)]) ).
cnf(268,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[252,90,theory(equality)]) ).
cnf(276,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[257,90,theory(equality)]) ).
cnf(294,plain,
addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))) = antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))),
inference(spm,[status(thm)],[49,130,theory(equality)]) ).
cnf(310,plain,
addition(one,antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))) = antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))),
inference(rw,[status(thm)],[294,276,theory(equality)]) ).
cnf(358,plain,
addition(coantidomain(X1),one) = one,
inference(spm,[status(thm)],[97,94,theory(equality)]) ).
cnf(359,plain,
addition(antidomain(X1),one) = one,
inference(spm,[status(thm)],[97,95,theory(equality)]) ).
cnf(374,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[97,67,theory(equality)]) ).
cnf(378,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[358,67,theory(equality)]) ).
cnf(379,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[359,67,theory(equality)]) ).
cnf(422,plain,
addition(X1,addition(X2,addition(X3,X1))) = addition(X2,addition(X3,X1)),
inference(spm,[status(thm)],[374,69,theory(equality)]) ).
cnf(469,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))) = antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))),
inference(spm,[status(thm)],[49,131,theory(equality)]) ).
cnf(470,plain,
addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),multiplication(X1,X2)))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),multiplication(X1,X2))),
inference(spm,[status(thm)],[33,131,theory(equality)]) ).
cnf(487,plain,
one = antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[469,276,theory(equality)]),379,theory(equality)]) ).
cnf(488,plain,
one = coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),multiplication(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[470,268,theory(equality)]),378,theory(equality)]) ).
cnf(594,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[166,67,theory(equality)]) ).
cnf(649,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)],[206,49,theory(equality)]) ).
cnf(656,plain,
multiplication(addition(antidomain(X2),X1),X2) = multiplication(X1,X2),
inference(spm,[status(thm)],[206,67,theory(equality)]) ).
cnf(668,plain,
zero = multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[649,51,theory(equality)]) ).
cnf(794,plain,
multiplication(X1,one) = multiplication(X1,coantidomain(coantidomain(X1))),
inference(spm,[status(thm)],[594,94,theory(equality)]) ).
cnf(817,plain,
X1 = multiplication(X1,coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[794,39,theory(equality)]) ).
cnf(834,plain,
multiplication(X1,X2) = multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2)),
inference(spm,[status(thm)],[63,817,theory(equality)]) ).
cnf(862,plain,
multiplication(one,X1) = multiplication(antidomain(antidomain(X1)),X1),
inference(spm,[status(thm)],[656,95,theory(equality)]) ).
cnf(864,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),antidomain(esk3_0)) = multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(esk3_0)),
inference(spm,[status(thm)],[656,134,theory(equality)]) ).
cnf(884,plain,
X1 = multiplication(antidomain(antidomain(X1)),X1),
inference(rw,[status(thm)],[862,43,theory(equality)]) ).
cnf(886,negated_conjecture,
zero = multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(esk3_0)),
inference(rw,[status(thm)],[864,51,theory(equality)]) ).
cnf(899,plain,
multiplication(X1,X2) = multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)),
inference(spm,[status(thm)],[63,884,theory(equality)]) ).
cnf(900,plain,
addition(X1,multiplication(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(antidomain(X1)),addition(X1,X2)),
inference(spm,[status(thm)],[71,884,theory(equality)]) ).
cnf(1281,plain,
multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(coantidomain(X1)))) = multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),
inference(spm,[status(thm)],[166,245,theory(equality)]) ).
cnf(1293,plain,
zero = multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),
inference(rw,[status(thm)],[1281,35,theory(equality)]) ).
cnf(1300,plain,
addition(antidomain(zero),antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))) = antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[49,1293,theory(equality)]) ).
cnf(1313,plain,
one = antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1300,276,theory(equality)]),379,theory(equality)]) ).
cnf(1323,plain,
multiplication(antidomain(antidomain(antidomain(X1))),one) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
inference(spm,[status(thm)],[167,95,theory(equality)]) ).
cnf(1339,plain,
multiplication(antidomain(addition(X1,X2)),addition(X1,X2)) = multiplication(antidomain(addition(X1,X2)),X1),
inference(spm,[status(thm)],[167,97,theory(equality)]) ).
cnf(1346,plain,
multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),addition(one,X2)) = multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)),
inference(spm,[status(thm)],[167,101,theory(equality)]) ).
cnf(1354,plain,
multiplication(antidomain(addition(X1,X2)),addition(X1,addition(X3,X2))) = multiplication(antidomain(addition(X1,X2)),X3),
inference(spm,[status(thm)],[167,110,theory(equality)]) ).
cnf(1357,plain,
antidomain(antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
inference(rw,[status(thm)],[1323,39,theory(equality)]) ).
cnf(1358,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[1357,884,theory(equality)]) ).
cnf(1372,plain,
zero = multiplication(antidomain(addition(X1,X2)),X1),
inference(rw,[status(thm)],[1339,51,theory(equality)]) ).
cnf(1413,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(esk3_0)))) != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[84,1358,theory(equality)]),1358,theory(equality)]),1358,theory(equality)]),1358,theory(equality)]),1358,theory(equality)]) ).
cnf(1414,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(esk3_0)))) != antidomain(multiplication(esk1_0,antidomain(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1413,1358,theory(equality)]),1358,theory(equality)]),1358,theory(equality)]),1358,theory(equality)]),1358,theory(equality)]) ).
cnf(1439,plain,
addition(zero,multiplication(antidomain(addition(X1,X2)),X3)) = multiplication(antidomain(addition(X1,X2)),addition(X1,X3)),
inference(spm,[status(thm)],[71,1372,theory(equality)]) ).
cnf(1442,plain,
addition(zero,multiplication(X3,X1)) = multiplication(addition(antidomain(addition(X1,X2)),X3),X1),
inference(spm,[status(thm)],[27,1372,theory(equality)]) ).
cnf(1444,plain,
multiplication(antidomain(multiplication(addition(X1,X3),X2)),multiplication(X1,X2)) = zero,
inference(spm,[status(thm)],[1372,27,theory(equality)]) ).
cnf(1473,plain,
multiplication(antidomain(addition(X1,X2)),X3) = multiplication(antidomain(addition(X1,X2)),addition(X1,X3)),
inference(rw,[status(thm)],[1439,90,theory(equality)]) ).
cnf(1475,plain,
multiplication(X3,X1) = multiplication(addition(antidomain(addition(X1,X2)),X3),X1),
inference(rw,[status(thm)],[1442,90,theory(equality)]) ).
cnf(1853,plain,
addition(addition(X1,antidomain(X2)),multiplication(X1,X2)) = multiplication(addition(X1,antidomain(X2)),addition(one,X2)),
inference(spm,[status(thm)],[137,206,theory(equality)]) ).
cnf(1903,plain,
addition(X1,addition(antidomain(X2),multiplication(X1,X2))) = multiplication(addition(X1,antidomain(X2)),addition(one,X2)),
inference(rw,[status(thm)],[1853,69,theory(equality)]) ).
cnf(1994,plain,
multiplication(one,coantidomain(coantidomain(coantidomain(X1)))) = multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1)))),
inference(spm,[status(thm)],[205,94,theory(equality)]) ).
cnf(2011,plain,
multiplication(addition(X1,X2),coantidomain(addition(X1,X2))) = multiplication(X1,coantidomain(addition(X1,X2))),
inference(spm,[status(thm)],[205,97,theory(equality)]) ).
cnf(2017,plain,
multiplication(addition(one,X2),coantidomain(addition(antidomain(antidomain(X1)),X2))) = multiplication(antidomain(X1),coantidomain(addition(antidomain(antidomain(X1)),X2))),
inference(spm,[status(thm)],[205,101,theory(equality)]) ).
cnf(2024,plain,
multiplication(addition(X2,X1),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(spm,[status(thm)],[205,67,theory(equality)]) ).
cnf(2028,plain,
multiplication(addition(X2,addition(X1,X3)),coantidomain(addition(X2,X3))) = multiplication(X1,coantidomain(addition(X2,X3))),
inference(spm,[status(thm)],[205,110,theory(equality)]) ).
cnf(2030,plain,
coantidomain(coantidomain(coantidomain(X1))) = multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[1994,43,theory(equality)]) ).
cnf(2031,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[2030,817,theory(equality)]) ).
cnf(2050,plain,
zero = multiplication(X1,coantidomain(addition(X1,X2))),
inference(rw,[status(thm)],[2011,35,theory(equality)]) ).
cnf(2118,plain,
addition(zero,multiplication(X3,coantidomain(addition(X1,X2)))) = multiplication(addition(X1,X3),coantidomain(addition(X1,X2))),
inference(spm,[status(thm)],[27,2050,theory(equality)]) ).
cnf(2155,plain,
multiplication(X3,coantidomain(addition(X1,X2))) = multiplication(addition(X1,X3),coantidomain(addition(X1,X2))),
inference(rw,[status(thm)],[2118,90,theory(equality)]) ).
cnf(2512,plain,
multiplication(antidomain(X1),X2) = multiplication(antidomain(X1),addition(X1,X2)),
inference(rw,[status(thm)],[147,90,theory(equality)]) ).
cnf(2514,plain,
multiplication(antidomain(coantidomain(X1)),one) = multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))),
inference(spm,[status(thm)],[2512,94,theory(equality)]) ).
cnf(2525,plain,
addition(antidomain(multiplication(antidomain(X1),X2)),antidomain(multiplication(antidomain(X1),antidomain(antidomain(addition(X1,X2)))))) = antidomain(multiplication(antidomain(X1),antidomain(antidomain(addition(X1,X2))))),
inference(spm,[status(thm)],[49,2512,theory(equality)]) ).
cnf(2553,plain,
antidomain(coantidomain(X1)) = multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[2514,39,theory(equality)]) ).
cnf(2595,plain,
multiplication(one,coantidomain(antidomain(X1))) = multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1))),
inference(spm,[status(thm)],[2024,95,theory(equality)]) ).
cnf(2635,plain,
coantidomain(antidomain(X1)) = multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1))),
inference(rw,[status(thm)],[2595,43,theory(equality)]) ).
cnf(2728,plain,
addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = multiplication(antidomain(antidomain(X1)),addition(one,coantidomain(antidomain(X1)))),
inference(spm,[status(thm)],[137,2635,theory(equality)]) ).
cnf(2745,plain,
addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2728,378,theory(equality)]),39,theory(equality)]) ).
cnf(2754,plain,
addition(antidomain(X1),coantidomain(antidomain(antidomain(X1)))) = antidomain(X1),
inference(spm,[status(thm)],[2745,1358,theory(equality)]) ).
cnf(3040,plain,
multiplication(antidomain(X1),X1) = multiplication(coantidomain(antidomain(antidomain(X1))),X1),
inference(spm,[status(thm)],[656,2754,theory(equality)]) ).
cnf(3063,plain,
zero = multiplication(coantidomain(antidomain(antidomain(X1))),X1),
inference(rw,[status(thm)],[3040,51,theory(equality)]) ).
cnf(3081,plain,
addition(zero,multiplication(X2,X1)) = multiplication(addition(coantidomain(antidomain(antidomain(X1))),X2),X1),
inference(spm,[status(thm)],[27,3063,theory(equality)]) ).
cnf(3104,plain,
multiplication(X2,X1) = multiplication(addition(coantidomain(antidomain(antidomain(X1))),X2),X1),
inference(rw,[status(thm)],[3081,90,theory(equality)]) ).
cnf(3179,plain,
addition(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = multiplication(addition(one,antidomain(coantidomain(X1))),coantidomain(coantidomain(X1))),
inference(spm,[status(thm)],[177,2553,theory(equality)]) ).
cnf(3245,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = multiplication(addition(one,antidomain(coantidomain(X1))),coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[3179,67,theory(equality)]) ).
cnf(3246,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3245,379,theory(equality)]),43,theory(equality)]) ).
cnf(3634,plain,
multiplication(coantidomain(X1),coantidomain(coantidomain(X1))) = multiplication(coantidomain(X1),antidomain(coantidomain(X1))),
inference(spm,[status(thm)],[166,3246,theory(equality)]) ).
cnf(3657,plain,
zero = multiplication(coantidomain(X1),antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[3634,35,theory(equality)]) ).
cnf(3697,plain,
multiplication(X1,zero) = multiplication(X1,antidomain(coantidomain(coantidomain(X1)))),
inference(spm,[status(thm)],[834,3657,theory(equality)]) ).
cnf(3726,plain,
zero = multiplication(X1,antidomain(coantidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[3697,37,theory(equality)]) ).
cnf(3731,plain,
addition(zero,multiplication(X1,X2)) = multiplication(X1,addition(antidomain(coantidomain(coantidomain(X1))),X2)),
inference(spm,[status(thm)],[71,3726,theory(equality)]) ).
cnf(3757,plain,
multiplication(X1,X2) = multiplication(X1,addition(antidomain(coantidomain(coantidomain(X1))),X2)),
inference(rw,[status(thm)],[3731,90,theory(equality)]) ).
cnf(5833,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(multiplication(X1,antidomain(antidomain(X2))),X3),X2),
inference(spm,[status(thm)],[188,884,theory(equality)]) ).
cnf(5995,plain,
multiplication(addition(X1,X3),X2) = multiplication(addition(multiplication(X1,antidomain(antidomain(X2))),X3),X2),
inference(rw,[status(thm)],[5833,27,theory(equality)]) ).
cnf(7361,plain,
multiplication(one,multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))) = zero,
inference(spm,[status(thm)],[51,1313,theory(equality)]) ).
cnf(7400,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[7361,43,theory(equality)]) ).
cnf(7467,plain,
multiplication(X1,zero) = multiplication(X1,antidomain(antidomain(coantidomain(X1)))),
inference(spm,[status(thm)],[834,7400,theory(equality)]) ).
cnf(7510,plain,
zero = multiplication(X1,antidomain(antidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[7467,37,theory(equality)]) ).
cnf(7525,plain,
addition(zero,multiplication(X1,X2)) = multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2)),
inference(spm,[status(thm)],[71,7510,theory(equality)]) ).
cnf(7566,plain,
multiplication(X1,X2) = multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2)),
inference(rw,[status(thm)],[7525,90,theory(equality)]) ).
cnf(10630,plain,
multiplication(one,multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))) = zero,
inference(spm,[status(thm)],[51,487,theory(equality)]) ).
cnf(10754,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[10630,43,theory(equality)]) ).
cnf(11117,plain,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)) = one,
inference(spm,[status(thm)],[488,39,theory(equality)]) ).
cnf(11379,plain,
multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),one) = zero,
inference(spm,[status(thm)],[35,11117,theory(equality)]) ).
cnf(11435,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11379,63,theory(equality)]),39,theory(equality)]) ).
cnf(14223,negated_conjecture,
multiplication(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0),zero) = multiplication(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0),antidomain(esk3_0)),
inference(spm,[status(thm)],[834,886,theory(equality)]) ).
cnf(14267,negated_conjecture,
zero = multiplication(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0),antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14223,63,theory(equality)]),37,theory(equality)]),37,theory(equality)]) ).
cnf(14268,negated_conjecture,
zero = multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),multiplication(esk1_0,antidomain(esk3_0))),
inference(rw,[status(thm)],[14267,63,theory(equality)]) ).
cnf(14313,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),zero) = multiplication(antidomain(antidomain(esk2_0)),multiplication(esk1_0,antidomain(esk3_0))),
inference(spm,[status(thm)],[834,14268,theory(equality)]) ).
cnf(14359,negated_conjecture,
zero = multiplication(antidomain(antidomain(esk2_0)),multiplication(esk1_0,antidomain(esk3_0))),
inference(rw,[status(thm)],[14313,37,theory(equality)]) ).
cnf(14597,negated_conjecture,
addition(zero,multiplication(antidomain(antidomain(esk2_0)),X1)) = multiplication(antidomain(antidomain(esk2_0)),addition(multiplication(esk1_0,antidomain(esk3_0)),X1)),
inference(spm,[status(thm)],[71,14359,theory(equality)]) ).
cnf(14635,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),X1) = multiplication(antidomain(antidomain(esk2_0)),addition(multiplication(esk1_0,antidomain(esk3_0)),X1)),
inference(rw,[status(thm)],[14597,90,theory(equality)]) ).
cnf(15581,plain,
multiplication(one,X1) = multiplication(antidomain(antidomain(addition(X1,X2))),X1),
inference(spm,[status(thm)],[1475,95,theory(equality)]) ).
cnf(15692,plain,
X1 = multiplication(antidomain(antidomain(addition(X1,X2))),X1),
inference(rw,[status(thm)],[15581,43,theory(equality)]) ).
cnf(15782,plain,
multiplication(antidomain(antidomain(addition(X2,X1))),X1) = X1,
inference(spm,[status(thm)],[15692,374,theory(equality)]) ).
cnf(15989,plain,
multiplication(antidomain(antidomain(antidomain(addition(X1,X2)))),antidomain(antidomain(X2))) = zero,
inference(spm,[status(thm)],[10754,15782,theory(equality)]) ).
cnf(16063,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X2))) = zero,
inference(rw,[status(thm)],[15989,1358,theory(equality)]) ).
cnf(18122,plain,
one = antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))),
inference(rw,[status(thm)],[310,379,theory(equality)]) ).
cnf(18128,plain,
multiplication(one,multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))) = zero,
inference(spm,[status(thm)],[51,18122,theory(equality)]) ).
cnf(18240,plain,
multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))) = zero,
inference(rw,[status(thm)],[18128,43,theory(equality)]) ).
cnf(18365,plain,
addition(zero,multiplication(X1,X3)) = multiplication(X1,addition(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X3)),
inference(spm,[status(thm)],[71,18240,theory(equality)]) ).
cnf(18489,plain,
multiplication(X1,X3) = multiplication(X1,addition(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X3)),
inference(rw,[status(thm)],[18365,90,theory(equality)]) ).
cnf(30046,plain,
multiplication(one,X1) = multiplication(coantidomain(coantidomain(antidomain(antidomain(X1)))),X1),
inference(spm,[status(thm)],[3104,94,theory(equality)]) ).
cnf(30137,plain,
X1 = multiplication(coantidomain(coantidomain(antidomain(antidomain(X1)))),X1),
inference(rw,[status(thm)],[30046,43,theory(equality)]) ).
cnf(30219,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(X1)) = antidomain(X1),
inference(spm,[status(thm)],[30137,1358,theory(equality)]) ).
cnf(30347,plain,
addition(coantidomain(coantidomain(antidomain(X1))),antidomain(X1)) = multiplication(coantidomain(coantidomain(antidomain(X1))),addition(one,antidomain(X1))),
inference(spm,[status(thm)],[137,30219,theory(equality)]) ).
cnf(30408,plain,
addition(antidomain(X1),coantidomain(coantidomain(antidomain(X1)))) = multiplication(coantidomain(coantidomain(antidomain(X1))),addition(one,antidomain(X1))),
inference(rw,[status(thm)],[30347,67,theory(equality)]) ).
cnf(30409,plain,
addition(antidomain(X1),coantidomain(coantidomain(antidomain(X1)))) = coantidomain(coantidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[30408,379,theory(equality)]),39,theory(equality)]) ).
cnf(31278,plain,
addition(antidomain(X1),coantidomain(coantidomain(antidomain(antidomain(X1))))) = addition(one,coantidomain(coantidomain(antidomain(antidomain(X1))))),
inference(spm,[status(thm)],[101,30409,theory(equality)]) ).
cnf(31351,plain,
addition(antidomain(X1),coantidomain(coantidomain(antidomain(antidomain(X1))))) = one,
inference(rw,[status(thm)],[31278,378,theory(equality)]) ).
cnf(31424,plain,
addition(antidomain(antidomain(X1)),coantidomain(coantidomain(antidomain(X1)))) = one,
inference(spm,[status(thm)],[31351,1358,theory(equality)]) ).
cnf(32032,plain,
multiplication(coantidomain(antidomain(X1)),one) = multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))),
inference(spm,[status(thm)],[166,31424,theory(equality)]) ).
cnf(32109,plain,
coantidomain(antidomain(X1)) = multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))),
inference(rw,[status(thm)],[32032,39,theory(equality)]) ).
cnf(35316,plain,
multiplication(X1,one) = multiplication(X1,antidomain(antidomain(coantidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[3757,95,theory(equality)]) ).
cnf(35427,plain,
X1 = multiplication(X1,antidomain(antidomain(coantidomain(coantidomain(X1))))),
inference(rw,[status(thm)],[35316,39,theory(equality)]) ).
cnf(35536,plain,
multiplication(coantidomain(X1),antidomain(antidomain(coantidomain(X1)))) = coantidomain(X1),
inference(spm,[status(thm)],[35427,2031,theory(equality)]) ).
cnf(35696,plain,
addition(antidomain(antidomain(coantidomain(X1))),coantidomain(X1)) = multiplication(addition(one,coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))),
inference(spm,[status(thm)],[177,35536,theory(equality)]) ).
cnf(35767,plain,
addition(coantidomain(X1),antidomain(antidomain(coantidomain(X1)))) = multiplication(addition(one,coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[35696,67,theory(equality)]) ).
cnf(35768,plain,
addition(coantidomain(X1),antidomain(antidomain(coantidomain(X1)))) = antidomain(antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[35767,378,theory(equality)]),43,theory(equality)]) ).
cnf(35963,plain,
addition(coantidomain(X1),antidomain(antidomain(coantidomain(coantidomain(X1))))) = addition(one,antidomain(antidomain(coantidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[100,35768,theory(equality)]) ).
cnf(36038,plain,
addition(coantidomain(X1),antidomain(antidomain(coantidomain(coantidomain(X1))))) = one,
inference(rw,[status(thm)],[35963,379,theory(equality)]) ).
cnf(36110,plain,
multiplication(one,antidomain(coantidomain(coantidomain(X1)))) = multiplication(coantidomain(X1),antidomain(coantidomain(coantidomain(X1)))),
inference(spm,[status(thm)],[206,36038,theory(equality)]) ).
cnf(36119,plain,
addition(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))) = one,
inference(spm,[status(thm)],[36038,2031,theory(equality)]) ).
cnf(36195,plain,
antidomain(coantidomain(coantidomain(X1))) = multiplication(coantidomain(X1),antidomain(coantidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[36110,43,theory(equality)]) ).
cnf(36208,plain,
addition(antidomain(antidomain(coantidomain(X1))),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[36119,67,theory(equality)]) ).
cnf(36792,plain,
multiplication(one,antidomain(coantidomain(X1))) = multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))),
inference(spm,[status(thm)],[656,36208,theory(equality)]) ).
cnf(36874,plain,
antidomain(coantidomain(X1)) = multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[36792,43,theory(equality)]) ).
cnf(40401,plain,
multiplication(X1,one) = multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[7566,95,theory(equality)]) ).
cnf(40519,plain,
X1 = multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1))))),
inference(rw,[status(thm)],[40401,39,theory(equality)]) ).
cnf(40520,plain,
X1 = multiplication(X1,antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[40519,1358,theory(equality)]) ).
cnf(40639,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(spm,[status(thm)],[40520,2031,theory(equality)]) ).
cnf(40709,plain,
coantidomain(X1) = antidomain(coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[36195,40520,theory(equality)]) ).
cnf(40727,plain,
antidomain(coantidomain(X1)) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[40639,36874,theory(equality)]) ).
cnf(40848,plain,
addition(coantidomain(X1),antidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[36038,40727,theory(equality)]),1358,theory(equality)]) ).
cnf(40891,plain,
multiplication(antidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[11435,40727,theory(equality)]) ).
cnf(40967,plain,
antidomain(antidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[40709,40727,theory(equality)]) ).
cnf(41359,plain,
addition(zero,multiplication(X2,X1)) = multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1),
inference(spm,[status(thm)],[27,40891,theory(equality)]) ).
cnf(41431,plain,
multiplication(X2,X1) = multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1),
inference(rw,[status(thm)],[41359,90,theory(equality)]) ).
cnf(57529,plain,
multiplication(one,X1) = multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),X1),
inference(spm,[status(thm)],[41431,95,theory(equality)]) ).
cnf(57655,plain,
X1 = multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),X1),
inference(rw,[status(thm)],[57529,43,theory(equality)]) ).
cnf(57656,plain,
X1 = multiplication(coantidomain(antidomain(X1)),X1),
inference(rw,[status(thm)],[57655,40967,theory(equality)]) ).
cnf(57775,plain,
multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[57656,1358,theory(equality)]) ).
cnf(57868,plain,
coantidomain(antidomain(X1)) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[57775,32109,theory(equality)]) ).
cnf(82261,plain,
addition(addition(X1,X2),X1) = multiplication(antidomain(antidomain(addition(X1,X2))),addition(addition(X1,X2),X1)),
inference(spm,[status(thm)],[900,15692,theory(equality)]) ).
cnf(82532,plain,
addition(X2,X1) = multiplication(antidomain(antidomain(addition(X1,X2))),addition(addition(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[82261,69,theory(equality)]),374,theory(equality)]) ).
cnf(82533,plain,
addition(X2,X1) = multiplication(antidomain(antidomain(addition(X1,X2))),addition(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[82532,69,theory(equality)]),374,theory(equality)]) ).
cnf(85350,plain,
multiplication(antidomain(multiplication(one,X2)),multiplication(antidomain(X1),X2)) = zero,
inference(spm,[status(thm)],[1444,95,theory(equality)]) ).
cnf(85757,plain,
multiplication(antidomain(X2),multiplication(antidomain(X1),X2)) = zero,
inference(rw,[status(thm)],[85350,43,theory(equality)]) ).
cnf(86240,plain,
multiplication(antidomain(zero),multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1))))) = zero,
inference(spm,[status(thm)],[668,85757,theory(equality)]) ).
cnf(86506,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[86240,276,theory(equality)]),43,theory(equality)]) ).
cnf(168756,plain,
multiplication(antidomain(addition(X1,X2)),addition(X3,X2)) = multiplication(antidomain(addition(X1,X2)),X3),
inference(rw,[status(thm)],[1354,1473,theory(equality)]) ).
cnf(169887,plain,
antidomain(addition(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1346,168756,theory(equality)]),39,theory(equality)]) ).
cnf(171388,plain,
addition(antidomain(X1),antidomain(addition(antidomain(antidomain(X1)),X2))) = multiplication(addition(one,antidomain(addition(antidomain(antidomain(X1)),X2))),antidomain(X1)),
inference(spm,[status(thm)],[177,169887,theory(equality)]) ).
cnf(171413,plain,
antidomain(addition(antidomain(antidomain(antidomain(X1))),X1)) = zero,
inference(spm,[status(thm)],[16063,169887,theory(equality)]) ).
cnf(171569,plain,
addition(antidomain(X1),antidomain(addition(antidomain(antidomain(X1)),X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[171388,379,theory(equality)]),43,theory(equality)]) ).
cnf(171593,plain,
antidomain(addition(X1,antidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[171413,1358,theory(equality)]),67,theory(equality)]) ).
cnf(171720,plain,
antidomain(addition(X1,addition(X2,antidomain(addition(X1,X2))))) = zero,
inference(spm,[status(thm)],[171593,69,theory(equality)]) ).
cnf(171721,plain,
addition(antidomain(multiplication(X1,addition(X2,antidomain(X2)))),antidomain(multiplication(X1,antidomain(zero)))) = antidomain(multiplication(X1,antidomain(zero))),
inference(spm,[status(thm)],[49,171593,theory(equality)]) ).
cnf(171917,plain,
addition(antidomain(X1),antidomain(multiplication(X1,addition(X2,antidomain(X2))))) = antidomain(multiplication(X1,antidomain(zero))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[171721,276,theory(equality)]),39,theory(equality)]),67,theory(equality)]) ).
cnf(171918,plain,
addition(antidomain(X1),antidomain(multiplication(X1,addition(X2,antidomain(X2))))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[171917,276,theory(equality)]),39,theory(equality)]) ).
cnf(206365,plain,
multiplication(addition(X2,X3),coantidomain(addition(X1,X3))) = multiplication(X2,coantidomain(addition(X1,X3))),
inference(rw,[status(thm)],[2028,2155,theory(equality)]) ).
cnf(207377,plain,
coantidomain(addition(antidomain(antidomain(X2)),X1)) = multiplication(antidomain(X2),coantidomain(addition(antidomain(antidomain(X2)),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2017,206365,theory(equality)]),43,theory(equality)]) ).
cnf(209732,plain,
addition(antidomain(X1),addition(antidomain(coantidomain(addition(antidomain(antidomain(X1)),X2))),coantidomain(addition(antidomain(antidomain(X1)),X2)))) = multiplication(addition(antidomain(X1),antidomain(coantidomain(addition(antidomain(antidomain(X1)),X2)))),addition(one,coantidomain(addition(antidomain(antidomain(X1)),X2)))),
inference(spm,[status(thm)],[1903,207377,theory(equality)]) ).
cnf(209974,plain,
one = multiplication(addition(antidomain(X1),antidomain(coantidomain(addition(antidomain(antidomain(X1)),X2)))),addition(one,coantidomain(addition(antidomain(antidomain(X1)),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[209732,67,theory(equality)]),40848,theory(equality)]),67,theory(equality)]),379,theory(equality)]) ).
cnf(209975,plain,
one = addition(antidomain(X1),antidomain(coantidomain(addition(antidomain(antidomain(X1)),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[209974,378,theory(equality)]),39,theory(equality)]) ).
cnf(226372,plain,
addition(antidomain(addition(X2,X1)),antidomain(multiplication(antidomain(antidomain(addition(X1,X2))),antidomain(antidomain(addition(antidomain(addition(X1,X2)),addition(X2,X1))))))) = antidomain(multiplication(antidomain(antidomain(addition(X1,X2))),antidomain(antidomain(addition(antidomain(addition(X1,X2)),addition(X2,X1)))))),
inference(spm,[status(thm)],[2525,82533,theory(equality)]) ).
cnf(227020,plain,
addition(antidomain(addition(X2,X1)),antidomain(addition(X1,X2))) = antidomain(multiplication(antidomain(antidomain(addition(X1,X2))),antidomain(antidomain(addition(antidomain(addition(X1,X2)),addition(X2,X1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[226372,103,theory(equality)]),67,theory(equality)]),171720,theory(equality)]),276,theory(equality)]),39,theory(equality)]),1358,theory(equality)]) ).
cnf(227021,plain,
addition(antidomain(addition(X2,X1)),antidomain(addition(X1,X2))) = antidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[227020,103,theory(equality)]),67,theory(equality)]),171720,theory(equality)]),276,theory(equality)]),39,theory(equality)]),1358,theory(equality)]) ).
cnf(277641,plain,
addition(antidomain(antidomain(X1)),antidomain(coantidomain(addition(antidomain(X1),X2)))) = one,
inference(spm,[status(thm)],[209975,1358,theory(equality)]) ).
cnf(1152571,plain,
addition(antidomain(antidomain(addition(X1,X2))),antidomain(coantidomain(antidomain(addition(X2,X1))))) = one,
inference(spm,[status(thm)],[277641,227021,theory(equality)]) ).
cnf(1153703,plain,
addition(antidomain(addition(X2,X1)),antidomain(antidomain(addition(X1,X2)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1152571,57868,theory(equality)]),1358,theory(equality)]),67,theory(equality)]) ).
cnf(1439875,plain,
multiplication(X1,one) = multiplication(X1,antidomain(antidomain(antidomain(multiplication(coantidomain(X1),X2))))),
inference(spm,[status(thm)],[18489,95,theory(equality)]) ).
cnf(1440960,plain,
X1 = multiplication(X1,antidomain(antidomain(antidomain(multiplication(coantidomain(X1),X2))))),
inference(rw,[status(thm)],[1439875,39,theory(equality)]) ).
cnf(1440961,plain,
X1 = multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))),
inference(rw,[status(thm)],[1440960,1358,theory(equality)]) ).
cnf(1442122,plain,
multiplication(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X1)),X2))) = antidomain(X1),
inference(spm,[status(thm)],[1440961,57868,theory(equality)]) ).
cnf(1483170,plain,
multiplication(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(X1),
inference(spm,[status(thm)],[1442122,899,theory(equality)]) ).
cnf(1483203,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(X1)) = antidomain(addition(X1,X2)),
inference(spm,[status(thm)],[1442122,15692,theory(equality)]) ).
cnf(1486749,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(X1)) = multiplication(addition(one,antidomain(X1)),antidomain(multiplication(X1,X2))),
inference(spm,[status(thm)],[177,1483170,theory(equality)]) ).
cnf(1488073,plain,
addition(antidomain(X1),antidomain(multiplication(X1,X2))) = multiplication(addition(one,antidomain(X1)),antidomain(multiplication(X1,X2))),
inference(rw,[status(thm)],[1486749,67,theory(equality)]) ).
cnf(1488074,plain,
addition(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1488073,379,theory(equality)]),43,theory(equality)]) ).
cnf(1563494,plain,
addition(antidomain(X1),antidomain(addition(X1,X2))) = multiplication(addition(one,antidomain(addition(X1,X2))),antidomain(X1)),
inference(spm,[status(thm)],[177,1483203,theory(equality)]) ).
cnf(1564320,plain,
addition(antidomain(X1),antidomain(addition(X1,X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1563494,379,theory(equality)]),43,theory(equality)]) ).
cnf(1565110,plain,
addition(antidomain(X1),antidomain(addition(X2,addition(X3,X1)))) = antidomain(X1),
inference(spm,[status(thm)],[1564320,422,theory(equality)]) ).
cnf(1570309,plain,
addition(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X1),X2)))) = antidomain(X1),
inference(spm,[status(thm)],[171569,1488074,theory(equality)]) ).
cnf(1571298,plain,
antidomain(multiplication(X1,addition(X2,antidomain(X2)))) = antidomain(X1),
inference(rw,[status(thm)],[171918,1488074,theory(equality)]) ).
cnf(1573541,negated_conjecture,
antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(esk3_0))))) = antidomain(antidomain(antidomain(esk2_0))),
inference(spm,[status(thm)],[1571298,14635,theory(equality)]) ).
cnf(1574270,negated_conjecture,
antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(esk3_0))))) = antidomain(esk2_0),
inference(rw,[status(thm)],[1573541,1358,theory(equality)]) ).
cnf(1574578,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))),antidomain(antidomain(esk2_0))) = zero,
inference(spm,[status(thm)],[86506,1574270,theory(equality)]) ).
cnf(1579966,negated_conjecture,
multiplication(addition(zero,X1),esk2_0) = multiplication(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))),X1),esk2_0),
inference(spm,[status(thm)],[5995,1574578,theory(equality)]) ).
cnf(1580448,negated_conjecture,
multiplication(X1,esk2_0) = multiplication(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))),X1),esk2_0),
inference(rw,[status(thm)],[1579966,90,theory(equality)]) ).
cnf(1627571,plain,
addition(antidomain(addition(antidomain(addition(X1,addition(X2,X3))),antidomain(X3))),antidomain(antidomain(antidomain(X3)))) = one,
inference(spm,[status(thm)],[1153703,1565110,theory(equality)]) ).
cnf(1628428,plain,
addition(antidomain(X3),antidomain(antidomain(X3))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1627571,67,theory(equality)]),1565110,theory(equality)]),1358,theory(equality)]),67,theory(equality)]) ).
cnf(1757161,negated_conjecture,
multiplication(one,esk2_0) = multiplication(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0))))),esk2_0),
inference(spm,[status(thm)],[1580448,1628428,theory(equality)]) ).
cnf(1757591,negated_conjecture,
esk2_0 = multiplication(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0))))),esk2_0),
inference(rw,[status(thm)],[1757161,43,theory(equality)]) ).
cnf(1757592,negated_conjecture,
esk2_0 = multiplication(antidomain(multiplication(esk1_0,antidomain(esk3_0))),esk2_0),
inference(rw,[status(thm)],[1757591,1358,theory(equality)]) ).
cnf(1757944,negated_conjecture,
addition(antidomain(multiplication(esk1_0,antidomain(esk3_0))),antidomain(antidomain(esk2_0))) = antidomain(multiplication(esk1_0,antidomain(esk3_0))),
inference(spm,[status(thm)],[1570309,1757592,theory(equality)]) ).
cnf(1758178,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(esk3_0)))) = antidomain(multiplication(esk1_0,antidomain(esk3_0))),
inference(rw,[status(thm)],[1757944,67,theory(equality)]) ).
cnf(1758179,negated_conjecture,
$false,
inference(sr,[status(thm)],[1758178,1414,theory(equality)]) ).
cnf(1758180,negated_conjecture,
$false,
1758179,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE107+1.p
% --creating new selector for [KLE001+0.ax, KLE001+4.ax, KLE001+6.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpNr4ar-/sel_KLE107+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpNr4ar-/sel_KLE107+1.p_2 with time limit 80
% -prover status Theorem
% Problem KLE107+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE107+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE107+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
%
%------------------------------------------------------------------------------