TSTP Solution File: KLE102+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE102+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 12:19:14 EST 2010
% Result : Theorem 107.07s
% Output : CNFRefutation 107.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 22
% Syntax : Number of formulae : 256 ( 250 unt; 0 def)
% Number of atoms : 262 ( 260 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 0 |; 3 &)
% ( 0 <=>; 1 =>; 2 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 350 ( 33 sgn 77 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',left_annihilation) ).
fof(2,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',right_annihilation) ).
fof(3,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',multiplicative_left_identity) ).
fof(4,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',additive_identity) ).
fof(5,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',left_distributivity) ).
fof(6,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',additive_commutativity) ).
fof(7,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',additive_idempotence) ).
fof(8,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',multiplicative_associativity) ).
fof(9,axiom,
! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',codomain3) ).
fof(10,axiom,
! [X4,X5] : addition(coantidomain(multiplication(X4,X5)),coantidomain(multiplication(coantidomain(coantidomain(X4)),X5))) = coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',codomain2) ).
fof(11,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',codomain1) ).
fof(12,axiom,
! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',forward_diamond) ).
fof(13,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',additive_associativity) ).
fof(14,axiom,
! [X4] : codomain(X4) = coantidomain(coantidomain(X4)),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',codomain4) ).
fof(15,axiom,
! [X4,X5] : backward_diamond(X4,X5) = codomain(multiplication(codomain(X5),X4)),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',backward_diamond) ).
fof(16,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',multiplicative_right_identity) ).
fof(17,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',domain3) ).
fof(18,axiom,
! [X4,X5] : addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5))))) = antidomain(multiplication(X4,antidomain(antidomain(X5)))),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',domain2) ).
fof(19,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',right_distributivity) ).
fof(20,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',domain1) ).
fof(21,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',domain4) ).
fof(22,conjecture,
! [X4,X5,X6] :
( multiplication(forward_diamond(X4,domain(X5)),domain(X6)) = zero
<= multiplication(domain(X5),backward_diamond(X4,domain(X6))) = zero ),
file('/tmp/tmpa_o245/sel_KLE102+1.p_2',goals) ).
fof(23,negated_conjecture,
~ ! [X4,X5,X6] :
( multiplication(forward_diamond(X4,domain(X5)),domain(X6)) = zero
<= multiplication(domain(X5),backward_diamond(X4,domain(X6))) = zero ),
inference(assume_negation,[status(cth)],[22]) ).
fof(24,negated_conjecture,
~ ! [X4,X5,X6] :
( multiplication(domain(X5),backward_diamond(X4,domain(X6))) = zero
=> multiplication(forward_diamond(X4,domain(X5)),domain(X6)) = zero ),
inference(fof_simplification,[status(thm)],[23,theory(equality)]) ).
fof(25,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[1]) ).
cnf(26,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[2]) ).
cnf(28,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[27]) ).
fof(29,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[3]) ).
cnf(30,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[29]) ).
fof(31,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[4]) ).
cnf(32,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(34,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[33]) ).
fof(35,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[6]) ).
cnf(36,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[35]) ).
fof(37,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[7]) ).
cnf(38,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[8]) ).
cnf(40,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X5] : addition(coantidomain(coantidomain(X5)),coantidomain(X5)) = one,
inference(variable_rename,[status(thm)],[9]) ).
cnf(42,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[41]) ).
fof(43,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)],[10]) ).
cnf(44,plain,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
inference(split_conjunct,[status(thm)],[43]) ).
fof(45,plain,
! [X5] : multiplication(X5,coantidomain(X5)) = zero,
inference(variable_rename,[status(thm)],[11]) ).
cnf(46,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[45]) ).
fof(47,plain,
! [X6,X7] : forward_diamond(X6,X7) = domain(multiplication(X6,domain(X7))),
inference(variable_rename,[status(thm)],[12]) ).
cnf(48,plain,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[47]) ).
fof(49,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[13]) ).
cnf(50,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[49]) ).
fof(51,plain,
! [X5] : codomain(X5) = coantidomain(coantidomain(X5)),
inference(variable_rename,[status(thm)],[14]) ).
cnf(52,plain,
codomain(X1) = coantidomain(coantidomain(X1)),
inference(split_conjunct,[status(thm)],[51]) ).
fof(53,plain,
! [X6,X7] : backward_diamond(X6,X7) = codomain(multiplication(codomain(X7),X6)),
inference(variable_rename,[status(thm)],[15]) ).
cnf(54,plain,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
inference(split_conjunct,[status(thm)],[53]) ).
fof(55,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[16]) ).
cnf(56,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[55]) ).
fof(57,plain,
! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
inference(variable_rename,[status(thm)],[17]) ).
cnf(58,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[57]) ).
fof(59,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)],[18]) ).
cnf(60,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(split_conjunct,[status(thm)],[59]) ).
fof(61,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[19]) ).
cnf(62,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[61]) ).
fof(63,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[20]) ).
cnf(64,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[63]) ).
fof(65,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[21]) ).
cnf(66,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[65]) ).
fof(67,negated_conjecture,
? [X4,X5,X6] :
( multiplication(domain(X5),backward_diamond(X4,domain(X6))) = zero
& multiplication(forward_diamond(X4,domain(X5)),domain(X6)) != zero ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(68,negated_conjecture,
? [X7,X8,X9] :
( multiplication(domain(X8),backward_diamond(X7,domain(X9))) = zero
& multiplication(forward_diamond(X7,domain(X8)),domain(X9)) != zero ),
inference(variable_rename,[status(thm)],[67]) ).
fof(69,negated_conjecture,
( multiplication(domain(esk2_0),backward_diamond(esk1_0,domain(esk3_0))) = zero
& multiplication(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) != zero ),
inference(skolemize,[status(esa)],[68]) ).
cnf(70,negated_conjecture,
multiplication(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) != zero,
inference(split_conjunct,[status(thm)],[69]) ).
cnf(71,negated_conjecture,
multiplication(domain(esk2_0),backward_diamond(esk1_0,domain(esk3_0))) = zero,
inference(split_conjunct,[status(thm)],[69]) ).
cnf(72,plain,
coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))) = backward_diamond(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[54,52,theory(equality)]),52,theory(equality)]),
[unfolding] ).
cnf(73,plain,
antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))) = forward_diamond(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[48,66,theory(equality)]),66,theory(equality)]),
[unfolding] ).
cnf(74,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),backward_diamond(esk1_0,antidomain(antidomain(esk3_0)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[71,66,theory(equality)]),66,theory(equality)]),
[unfolding] ).
cnf(75,negated_conjecture,
multiplication(forward_diamond(esk1_0,antidomain(antidomain(esk2_0))),antidomain(antidomain(esk3_0))) != zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[70,66,theory(equality)]),66,theory(equality)]),
[unfolding] ).
cnf(76,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) != zero,
inference(rw,[status(thm)],[75,73,theory(equality)]),
[unfolding] ).
cnf(77,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) = zero,
inference(rw,[status(thm)],[74,72,theory(equality)]),
[unfolding] ).
cnf(78,plain,
zero = coantidomain(one),
inference(spm,[status(thm)],[30,46,theory(equality)]) ).
cnf(79,plain,
zero = antidomain(one),
inference(spm,[status(thm)],[56,64,theory(equality)]) ).
cnf(80,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[32,36,theory(equality)]) ).
cnf(86,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[42,36,theory(equality)]) ).
cnf(87,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[58,36,theory(equality)]) ).
cnf(94,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(spm,[status(thm)],[46,40,theory(equality)]) ).
cnf(95,plain,
multiplication(zero,X2) = multiplication(X1,multiplication(coantidomain(X1),X2)),
inference(spm,[status(thm)],[40,46,theory(equality)]) ).
cnf(96,plain,
multiplication(zero,X2) = multiplication(antidomain(X1),multiplication(X1,X2)),
inference(spm,[status(thm)],[40,64,theory(equality)]) ).
cnf(106,plain,
zero = multiplication(X1,multiplication(coantidomain(X1),X2)),
inference(rw,[status(thm)],[95,26,theory(equality)]) ).
cnf(107,plain,
zero = multiplication(antidomain(X1),multiplication(X1,X2)),
inference(rw,[status(thm)],[96,26,theory(equality)]) ).
cnf(113,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[50,38,theory(equality)]) ).
cnf(115,plain,
addition(one,X2) = addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)),
inference(spm,[status(thm)],[50,87,theory(equality)]) ).
cnf(119,plain,
addition(addition(X2,X1),X3) = addition(X1,addition(X2,X3)),
inference(spm,[status(thm)],[50,36,theory(equality)]) ).
cnf(124,plain,
addition(X2,addition(X1,X3)) = addition(X1,addition(X2,X3)),
inference(rw,[status(thm)],[119,50,theory(equality)]) ).
cnf(132,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[62,56,theory(equality)]) ).
cnf(137,plain,
addition(multiplication(X1,X2),zero) = multiplication(X1,addition(X2,coantidomain(X1))),
inference(spm,[status(thm)],[62,46,theory(equality)]) ).
cnf(139,plain,
addition(multiplication(antidomain(X1),X2),zero) = multiplication(antidomain(X1),addition(X2,X1)),
inference(spm,[status(thm)],[62,64,theory(equality)]) ).
cnf(159,plain,
multiplication(X1,X2) = multiplication(X1,addition(X2,coantidomain(X1))),
inference(rw,[status(thm)],[137,32,theory(equality)]) ).
cnf(160,plain,
multiplication(antidomain(X1),X2) = multiplication(antidomain(X1),addition(X2,X1)),
inference(rw,[status(thm)],[139,32,theory(equality)]) ).
cnf(175,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[34,30,theory(equality)]) ).
cnf(178,plain,
addition(multiplication(X1,coantidomain(X2)),zero) = multiplication(addition(X1,X2),coantidomain(X2)),
inference(spm,[status(thm)],[34,46,theory(equality)]) ).
cnf(180,plain,
addition(multiplication(X1,X2),zero) = multiplication(addition(X1,antidomain(X2)),X2),
inference(spm,[status(thm)],[34,64,theory(equality)]) ).
cnf(186,negated_conjecture,
addition(multiplication(X1,coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))),zero) = multiplication(addition(X1,antidomain(antidomain(esk2_0))),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))),
inference(spm,[status(thm)],[34,77,theory(equality)]) ).
cnf(201,plain,
multiplication(X1,coantidomain(X2)) = multiplication(addition(X1,X2),coantidomain(X2)),
inference(rw,[status(thm)],[178,32,theory(equality)]) ).
cnf(202,plain,
multiplication(X1,X2) = multiplication(addition(X1,antidomain(X2)),X2),
inference(rw,[status(thm)],[180,32,theory(equality)]) ).
cnf(204,negated_conjecture,
multiplication(X1,coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) = multiplication(addition(X1,antidomain(antidomain(esk2_0))),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))),
inference(rw,[status(thm)],[186,32,theory(equality)]) ).
cnf(252,plain,
addition(zero,coantidomain(zero)) = one,
inference(spm,[status(thm)],[86,78,theory(equality)]) ).
cnf(257,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[87,79,theory(equality)]) ).
cnf(268,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[252,80,theory(equality)]) ).
cnf(276,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[257,80,theory(equality)]) ).
cnf(413,plain,
multiplication(X1,addition(X2,addition(X3,coantidomain(X1)))) = multiplication(X1,addition(X2,X3)),
inference(spm,[status(thm)],[159,50,theory(equality)]) ).
cnf(428,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[159,36,theory(equality)]) ).
cnf(483,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)],[202,60,theory(equality)]) ).
cnf(490,plain,
multiplication(addition(antidomain(X2),X1),X2) = multiplication(X1,X2),
inference(spm,[status(thm)],[202,36,theory(equality)]) ).
cnf(502,plain,
zero = multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[483,64,theory(equality)]) ).
cnf(659,plain,
multiplication(X1,one) = multiplication(X1,coantidomain(coantidomain(X1))),
inference(spm,[status(thm)],[428,86,theory(equality)]) ).
cnf(684,plain,
X1 = multiplication(X1,coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[659,56,theory(equality)]) ).
cnf(704,plain,
multiplication(X1,X2) = multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2)),
inference(spm,[status(thm)],[40,684,theory(equality)]) ).
cnf(794,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = multiplication(X1,coantidomain(coantidomain(coantidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[704,684,theory(equality)]) ).
cnf(827,plain,
X1 = multiplication(X1,coantidomain(coantidomain(coantidomain(coantidomain(X1))))),
inference(rw,[status(thm)],[794,684,theory(equality)]) ).
cnf(879,plain,
multiplication(X1,multiplication(coantidomain(coantidomain(coantidomain(coantidomain(X1)))),coantidomain(X1))) = zero,
inference(spm,[status(thm)],[94,827,theory(equality)]) ).
cnf(899,plain,
addition(coantidomain(X1),one) = one,
inference(spm,[status(thm)],[113,86,theory(equality)]) ).
cnf(900,plain,
addition(antidomain(X1),one) = one,
inference(spm,[status(thm)],[113,87,theory(equality)]) ).
cnf(914,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[113,36,theory(equality)]) ).
cnf(918,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[899,36,theory(equality)]) ).
cnf(919,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[900,36,theory(equality)]) ).
cnf(1202,plain,
multiplication(one,X1) = multiplication(antidomain(antidomain(X1)),X1),
inference(spm,[status(thm)],[490,87,theory(equality)]) ).
cnf(1223,plain,
X1 = multiplication(antidomain(antidomain(X1)),X1),
inference(rw,[status(thm)],[1202,30,theory(equality)]) ).
cnf(1237,plain,
multiplication(X1,X2) = multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)),
inference(spm,[status(thm)],[40,1223,theory(equality)]) ).
cnf(1248,plain,
multiplication(antidomain(antidomain(antidomain(X1))),X1) = zero,
inference(spm,[status(thm)],[107,1223,theory(equality)]) ).
cnf(1268,plain,
addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X1))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X1)),
inference(spm,[status(thm)],[44,1248,theory(equality)]) ).
cnf(1284,plain,
one = coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1268,268,theory(equality)]),918,theory(equality)]) ).
cnf(1403,plain,
multiplication(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X1),one) = zero,
inference(spm,[status(thm)],[46,1284,theory(equality)]) ).
cnf(1427,plain,
multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1403,40,theory(equality)]),56,theory(equality)]) ).
cnf(1873,plain,
addition(X1,one) = addition(one,addition(X1,antidomain(X2))),
inference(spm,[status(thm)],[124,919,theory(equality)]) ).
cnf(1952,plain,
addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(X1)),multiplication(coantidomain(coantidomain(coantidomain(coantidomain(X1)))),coantidomain(X1))))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),multiplication(coantidomain(coantidomain(coantidomain(coantidomain(X1)))),coantidomain(X1)))),
inference(spm,[status(thm)],[44,879,theory(equality)]) ).
cnf(1973,plain,
one = coantidomain(multiplication(coantidomain(coantidomain(X1)),multiplication(coantidomain(coantidomain(coantidomain(coantidomain(X1)))),coantidomain(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1952,268,theory(equality)]),704,theory(equality)]),918,theory(equality)]) ).
cnf(1974,plain,
one = coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),
inference(rw,[status(thm)],[1973,704,theory(equality)]) ).
cnf(1988,plain,
multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),one) = zero,
inference(spm,[status(thm)],[46,1974,theory(equality)]) ).
cnf(2013,plain,
multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1988,40,theory(equality)]),56,theory(equality)]) ).
cnf(2048,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)],[60,2013,theory(equality)]) ).
cnf(2068,plain,
one = antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2048,276,theory(equality)]),919,theory(equality)]) ).
cnf(2164,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),one) = multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)),
inference(spm,[status(thm)],[160,86,theory(equality)]) ).
cnf(2165,plain,
multiplication(antidomain(antidomain(antidomain(X1))),one) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
inference(spm,[status(thm)],[160,87,theory(equality)]) ).
cnf(2185,plain,
multiplication(antidomain(addition(X1,X2)),addition(X1,X2)) = multiplication(antidomain(addition(X1,X2)),X1),
inference(spm,[status(thm)],[160,113,theory(equality)]) ).
cnf(2187,plain,
multiplication(antidomain(addition(X1,X2)),addition(X1,X2)) = multiplication(antidomain(addition(X1,X2)),X2),
inference(spm,[status(thm)],[160,914,theory(equality)]) ).
cnf(2188,plain,
multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),addition(one,X2)) = multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)),
inference(spm,[status(thm)],[160,115,theory(equality)]) ).
cnf(2195,plain,
multiplication(antidomain(addition(X1,X2)),addition(X1,addition(X3,X2))) = multiplication(antidomain(addition(X1,X2)),X3),
inference(spm,[status(thm)],[160,124,theory(equality)]) ).
cnf(2197,plain,
antidomain(coantidomain(coantidomain(X1))) = multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)),
inference(rw,[status(thm)],[2164,56,theory(equality)]) ).
cnf(2198,plain,
antidomain(antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
inference(rw,[status(thm)],[2165,56,theory(equality)]) ).
cnf(2199,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[2198,1223,theory(equality)]) ).
cnf(2217,plain,
zero = multiplication(antidomain(addition(X1,X2)),X1),
inference(rw,[status(thm)],[2185,64,theory(equality)]) ).
cnf(2218,plain,
zero = multiplication(antidomain(addition(X1,X2)),X2),
inference(rw,[status(thm)],[2187,64,theory(equality)]) ).
cnf(2248,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[1427,2199,theory(equality)]) ).
cnf(2255,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0))) != zero,
inference(rw,[status(thm)],[76,2199,theory(equality)]) ).
cnf(2276,plain,
addition(zero,multiplication(X2,X1)) = multiplication(addition(coantidomain(coantidomain(antidomain(X1))),X2),X1),
inference(spm,[status(thm)],[34,2248,theory(equality)]) ).
cnf(2296,plain,
multiplication(X2,X1) = multiplication(addition(coantidomain(coantidomain(antidomain(X1))),X2),X1),
inference(rw,[status(thm)],[2276,80,theory(equality)]) ).
cnf(2460,plain,
multiplication(zero,X3) = multiplication(antidomain(addition(X1,X2)),multiplication(X1,X3)),
inference(spm,[status(thm)],[40,2217,theory(equality)]) ).
cnf(2462,plain,
addition(zero,multiplication(antidomain(addition(X1,X2)),X3)) = multiplication(antidomain(addition(X1,X2)),addition(X1,X3)),
inference(spm,[status(thm)],[62,2217,theory(equality)]) ).
cnf(2465,plain,
addition(zero,multiplication(X3,X1)) = multiplication(addition(antidomain(addition(X1,X2)),X3),X1),
inference(spm,[status(thm)],[34,2217,theory(equality)]) ).
cnf(2494,plain,
zero = multiplication(antidomain(addition(X1,X2)),multiplication(X1,X3)),
inference(rw,[status(thm)],[2460,26,theory(equality)]) ).
cnf(2495,plain,
multiplication(antidomain(addition(X1,X2)),X3) = multiplication(antidomain(addition(X1,X2)),addition(X1,X3)),
inference(rw,[status(thm)],[2462,80,theory(equality)]) ).
cnf(2497,plain,
multiplication(X3,X1) = multiplication(addition(antidomain(addition(X1,X2)),X3),X1),
inference(rw,[status(thm)],[2465,80,theory(equality)]) ).
cnf(2901,plain,
multiplication(one,multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))) = zero,
inference(spm,[status(thm)],[64,2068,theory(equality)]) ).
cnf(2924,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[2901,30,theory(equality)]) ).
cnf(2965,plain,
multiplication(X1,zero) = multiplication(X1,antidomain(antidomain(coantidomain(X1)))),
inference(spm,[status(thm)],[704,2924,theory(equality)]) ).
cnf(2991,plain,
zero = multiplication(X1,antidomain(antidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[2965,28,theory(equality)]) ).
cnf(3030,plain,
addition(antidomain(X1),multiplication(antidomain(antidomain(X1)),addition(one,X2))) = addition(one,multiplication(antidomain(antidomain(X1)),X2)),
inference(spm,[status(thm)],[115,132,theory(equality)]) ).
cnf(3132,plain,
addition(zero,multiplication(X1,X2)) = multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2)),
inference(spm,[status(thm)],[62,2991,theory(equality)]) ).
cnf(3157,plain,
multiplication(X1,X2) = multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2)),
inference(rw,[status(thm)],[3132,80,theory(equality)]) ).
cnf(3348,plain,
multiplication(one,coantidomain(coantidomain(coantidomain(X1)))) = multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1)))),
inference(spm,[status(thm)],[201,86,theory(equality)]) ).
cnf(3349,plain,
multiplication(one,coantidomain(antidomain(antidomain(X1)))) = multiplication(antidomain(X1),coantidomain(antidomain(antidomain(X1)))),
inference(spm,[status(thm)],[201,87,theory(equality)]) ).
cnf(3382,plain,
coantidomain(coantidomain(coantidomain(X1))) = multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[3348,30,theory(equality)]) ).
cnf(3383,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[3382,684,theory(equality)]) ).
cnf(3384,plain,
coantidomain(antidomain(antidomain(X1))) = multiplication(antidomain(X1),coantidomain(antidomain(antidomain(X1)))),
inference(rw,[status(thm)],[3349,30,theory(equality)]) ).
cnf(3496,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(spm,[status(thm)],[2197,3383,theory(equality)]) ).
cnf(4027,plain,
multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
inference(spm,[status(thm)],[3384,2199,theory(equality)]) ).
cnf(4359,plain,
addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = multiplication(antidomain(antidomain(X1)),addition(one,coantidomain(antidomain(X1)))),
inference(spm,[status(thm)],[132,4027,theory(equality)]) ).
cnf(4380,plain,
addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4359,918,theory(equality)]),56,theory(equality)]) ).
cnf(5664,plain,
multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),multiplication(antidomain(multiplication(X1,X2)),X3)) = zero,
inference(spm,[status(thm)],[2494,60,theory(equality)]) ).
cnf(7294,plain,
addition(addition(X1,X2),multiplication(antidomain(X2),X1)) = multiplication(addition(one,antidomain(X2)),addition(X1,X2)),
inference(spm,[status(thm)],[175,160,theory(equality)]) ).
cnf(7317,plain,
addition(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = multiplication(addition(one,antidomain(coantidomain(X1))),coantidomain(coantidomain(X1))),
inference(spm,[status(thm)],[175,3496,theory(equality)]) ).
cnf(7405,plain,
addition(X1,addition(X2,multiplication(antidomain(X2),X1))) = multiplication(addition(one,antidomain(X2)),addition(X1,X2)),
inference(rw,[status(thm)],[7294,50,theory(equality)]) ).
cnf(7406,plain,
addition(X1,addition(X2,multiplication(antidomain(X2),X1))) = addition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7405,919,theory(equality)]),30,theory(equality)]) ).
cnf(7434,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = multiplication(addition(one,antidomain(coantidomain(X1))),coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[7317,36,theory(equality)]) ).
cnf(7435,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7434,919,theory(equality)]),30,theory(equality)]) ).
cnf(14569,plain,
multiplication(antidomain(zero),multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))) = zero,
inference(spm,[status(thm)],[502,106,theory(equality)]) ).
cnf(14611,plain,
multiplication(antidomain(zero),multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X2)))) = zero,
inference(spm,[status(thm)],[502,2218,theory(equality)]) ).
cnf(14742,plain,
multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14569,276,theory(equality)]),30,theory(equality)]) ).
cnf(14774,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X2))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14611,276,theory(equality)]),30,theory(equality)]) ).
cnf(14881,plain,
addition(zero,multiplication(X1,X3)) = multiplication(X1,addition(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X3)),
inference(spm,[status(thm)],[62,14742,theory(equality)]) ).
cnf(15013,plain,
multiplication(X1,X3) = multiplication(X1,addition(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X3)),
inference(rw,[status(thm)],[14881,80,theory(equality)]) ).
cnf(49355,plain,
multiplication(one,X1) = multiplication(coantidomain(coantidomain(coantidomain(antidomain(X1)))),X1),
inference(spm,[status(thm)],[2296,86,theory(equality)]) ).
cnf(49469,plain,
X1 = multiplication(coantidomain(coantidomain(coantidomain(antidomain(X1)))),X1),
inference(rw,[status(thm)],[49355,30,theory(equality)]) ).
cnf(49470,plain,
X1 = multiplication(coantidomain(antidomain(X1)),X1),
inference(rw,[status(thm)],[49469,3383,theory(equality)]) ).
cnf(49562,plain,
multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[49470,2199,theory(equality)]) ).
cnf(54673,plain,
addition(coantidomain(antidomain(X1)),antidomain(antidomain(X1))) = multiplication(coantidomain(antidomain(X1)),addition(one,antidomain(antidomain(X1)))),
inference(spm,[status(thm)],[132,49562,theory(equality)]) ).
cnf(54787,plain,
antidomain(antidomain(X1)) = multiplication(coantidomain(antidomain(X1)),addition(one,antidomain(antidomain(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[54673,36,theory(equality)]),4380,theory(equality)]) ).
cnf(54788,plain,
antidomain(antidomain(X1)) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[54787,919,theory(equality)]),56,theory(equality)]) ).
cnf(55029,negated_conjecture,
multiplication(addition(X1,antidomain(antidomain(esk2_0))),coantidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))) = multiplication(X1,coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[204,54788,theory(equality)]),2199,theory(equality)]),54788,theory(equality)]) ).
cnf(55030,negated_conjecture,
multiplication(addition(X1,antidomain(antidomain(esk2_0))),coantidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))) = multiplication(X1,coantidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[55029,54788,theory(equality)]),2199,theory(equality)]),54788,theory(equality)]) ).
cnf(55783,plain,
multiplication(X1,one) = multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[3157,87,theory(equality)]) ).
cnf(55903,plain,
X1 = multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1))))),
inference(rw,[status(thm)],[55783,56,theory(equality)]) ).
cnf(55904,plain,
X1 = multiplication(X1,antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[55903,2199,theory(equality)]) ).
cnf(55993,plain,
multiplication(X1,X2) = multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2)),
inference(spm,[status(thm)],[40,55904,theory(equality)]) ).
cnf(56015,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(spm,[status(thm)],[55904,3383,theory(equality)]) ).
cnf(56626,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = multiplication(addition(one,coantidomain(coantidomain(X1))),antidomain(coantidomain(X1))),
inference(spm,[status(thm)],[175,56015,theory(equality)]) ).
cnf(56714,plain,
coantidomain(coantidomain(X1)) = multiplication(addition(one,coantidomain(coantidomain(X1))),antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[56626,7435,theory(equality)]) ).
cnf(56715,plain,
coantidomain(coantidomain(X1)) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[56714,918,theory(equality)]),30,theory(equality)]) ).
cnf(57049,negated_conjecture,
multiplication(addition(X1,antidomain(antidomain(esk2_0))),antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))) = multiplication(X1,coantidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))),
inference(rw,[status(thm)],[55030,56715,theory(equality)]) ).
cnf(57050,negated_conjecture,
multiplication(addition(X1,antidomain(antidomain(esk2_0))),antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))) = multiplication(X1,antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))),
inference(rw,[status(thm)],[57049,56715,theory(equality)]) ).
cnf(57051,negated_conjecture,
multiplication(one,antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))) = multiplication(antidomain(esk2_0),antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))),
inference(spm,[status(thm)],[57050,87,theory(equality)]) ).
cnf(57096,negated_conjecture,
antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0))) = multiplication(antidomain(esk2_0),antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))),
inference(rw,[status(thm)],[57051,30,theory(equality)]) ).
cnf(64939,negated_conjecture,
addition(antidomain(esk2_0),antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))) = multiplication(antidomain(esk2_0),addition(one,antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0))))),
inference(spm,[status(thm)],[132,57096,theory(equality)]) ).
cnf(64992,negated_conjecture,
addition(antidomain(esk2_0),antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))) = antidomain(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[64939,919,theory(equality)]),56,theory(equality)]) ).
cnf(65038,negated_conjecture,
multiplication(antidomain(esk2_0),esk2_0) = multiplication(antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0))),esk2_0),
inference(spm,[status(thm)],[490,64992,theory(equality)]) ).
cnf(65068,negated_conjecture,
zero = multiplication(antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0))),esk2_0),
inference(rw,[status(thm)],[65038,64,theory(equality)]) ).
cnf(65573,negated_conjecture,
multiplication(multiplication(antidomain(antidomain(esk3_0)),esk1_0),zero) = multiplication(multiplication(antidomain(antidomain(esk3_0)),esk1_0),esk2_0),
inference(spm,[status(thm)],[55993,65068,theory(equality)]) ).
cnf(65635,negated_conjecture,
zero = multiplication(multiplication(antidomain(antidomain(esk3_0)),esk1_0),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[65573,40,theory(equality)]),28,theory(equality)]),28,theory(equality)]) ).
cnf(65636,negated_conjecture,
zero = multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,esk2_0)),
inference(rw,[status(thm)],[65635,40,theory(equality)]) ).
cnf(65665,negated_conjecture,
addition(zero,multiplication(X1,multiplication(esk1_0,esk2_0))) = multiplication(addition(antidomain(antidomain(esk3_0)),X1),multiplication(esk1_0,esk2_0)),
inference(spm,[status(thm)],[34,65636,theory(equality)]) ).
cnf(65673,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),zero) = multiplication(antidomain(antidomain(esk3_0)),addition(one,multiplication(esk1_0,esk2_0))),
inference(spm,[status(thm)],[132,65636,theory(equality)]) ).
cnf(65725,negated_conjecture,
multiplication(X1,multiplication(esk1_0,esk2_0)) = multiplication(addition(antidomain(antidomain(esk3_0)),X1),multiplication(esk1_0,esk2_0)),
inference(rw,[status(thm)],[65665,80,theory(equality)]) ).
cnf(65733,negated_conjecture,
antidomain(antidomain(esk3_0)) = multiplication(antidomain(antidomain(esk3_0)),addition(one,multiplication(esk1_0,esk2_0))),
inference(rw,[status(thm)],[65673,32,theory(equality)]) ).
cnf(69035,plain,
multiplication(X1,addition(one,coantidomain(X1))) = multiplication(X1,addition(antidomain(X2),antidomain(antidomain(X2)))),
inference(spm,[status(thm)],[413,115,theory(equality)]) ).
cnf(69173,plain,
X1 = multiplication(X1,addition(antidomain(X2),antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[69035,918,theory(equality)]),56,theory(equality)]) ).
cnf(69294,plain,
antidomain(addition(X1,addition(antidomain(X2),antidomain(antidomain(X2))))) = zero,
inference(spm,[status(thm)],[2218,69173,theory(equality)]) ).
cnf(175515,plain,
multiplication(one,X1) = multiplication(antidomain(antidomain(addition(X1,X2))),X1),
inference(spm,[status(thm)],[2497,87,theory(equality)]) ).
cnf(175764,plain,
X1 = multiplication(antidomain(antidomain(addition(X1,X2))),X1),
inference(rw,[status(thm)],[175515,30,theory(equality)]) ).
cnf(175963,plain,
multiplication(antidomain(antidomain(addition(X2,X1))),X1) = X1,
inference(spm,[status(thm)],[175764,914,theory(equality)]) ).
cnf(176508,plain,
addition(antidomain(X2),antidomain(antidomain(X2))) = antidomain(antidomain(addition(X1,addition(antidomain(X2),antidomain(antidomain(X2)))))),
inference(spm,[status(thm)],[69173,175963,theory(equality)]) ).
cnf(176732,plain,
addition(antidomain(X2),antidomain(antidomain(X2))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[176508,69294,theory(equality)]),276,theory(equality)]) ).
cnf(299353,plain,
multiplication(antidomain(addition(X1,X2)),addition(X3,X2)) = multiplication(antidomain(addition(X1,X2)),X3),
inference(rw,[status(thm)],[2195,2495,theory(equality)]) ).
cnf(302169,plain,
antidomain(addition(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2188,299353,theory(equality)]),56,theory(equality)]) ).
cnf(306295,plain,
antidomain(addition(antidomain(antidomain(antidomain(X1))),X1)) = zero,
inference(spm,[status(thm)],[14774,302169,theory(equality)]) ).
cnf(306517,plain,
antidomain(addition(X1,antidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[306295,2199,theory(equality)]),36,theory(equality)]) ).
cnf(306742,plain,
addition(one,addition(X1,zero)) = addition(X1,one),
inference(spm,[status(thm)],[1873,306517,theory(equality)]) ).
cnf(307009,plain,
addition(one,X1) = addition(X1,one),
inference(rw,[status(thm)],[306742,32,theory(equality)]) ).
cnf(350226,negated_conjecture,
addition(antidomain(esk3_0),antidomain(antidomain(esk3_0))) = addition(one,multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,esk2_0))),
inference(spm,[status(thm)],[3030,65733,theory(equality)]) ).
cnf(350508,negated_conjecture,
addition(antidomain(esk3_0),antidomain(antidomain(esk3_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[350226,65636,theory(equality)]),32,theory(equality)]) ).
cnf(1838752,negated_conjecture,
multiplication(one,multiplication(esk1_0,esk2_0)) = multiplication(antidomain(antidomain(antidomain(esk3_0))),multiplication(esk1_0,esk2_0)),
inference(spm,[status(thm)],[65725,176732,theory(equality)]) ).
cnf(1839260,negated_conjecture,
multiplication(esk1_0,esk2_0) = multiplication(antidomain(antidomain(antidomain(esk3_0))),multiplication(esk1_0,esk2_0)),
inference(rw,[status(thm)],[1838752,30,theory(equality)]) ).
cnf(1839261,negated_conjecture,
multiplication(esk1_0,esk2_0) = multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0)),
inference(rw,[status(thm)],[1839260,2199,theory(equality)]) ).
cnf(2195063,plain,
multiplication(X1,one) = multiplication(X1,antidomain(antidomain(antidomain(multiplication(coantidomain(X1),X2))))),
inference(spm,[status(thm)],[15013,176732,theory(equality)]) ).
cnf(2196378,plain,
X1 = multiplication(X1,antidomain(antidomain(antidomain(multiplication(coantidomain(X1),X2))))),
inference(rw,[status(thm)],[2195063,56,theory(equality)]) ).
cnf(2196379,plain,
X1 = multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))),
inference(rw,[status(thm)],[2196378,2199,theory(equality)]) ).
cnf(2197392,plain,
multiplication(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X1)),X2))) = antidomain(X1),
inference(spm,[status(thm)],[2196379,54788,theory(equality)]) ).
cnf(2249926,plain,
multiplication(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(X1),
inference(spm,[status(thm)],[2197392,1237,theory(equality)]) ).
cnf(2253800,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),antidomain(multiplication(esk1_0,esk2_0))) = antidomain(antidomain(esk3_0)),
inference(spm,[status(thm)],[2249926,1839261,theory(equality)]) ).
cnf(2256257,negated_conjecture,
addition(antidomain(multiplication(esk1_0,esk2_0)),addition(antidomain(esk3_0),antidomain(antidomain(esk3_0)))) = addition(antidomain(multiplication(esk1_0,esk2_0)),antidomain(esk3_0)),
inference(spm,[status(thm)],[7406,2253800,theory(equality)]) ).
cnf(2256775,negated_conjecture,
one = addition(antidomain(multiplication(esk1_0,esk2_0)),antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2256257,350508,theory(equality)]),307009,theory(equality)]),919,theory(equality)]) ).
cnf(2256776,negated_conjecture,
one = addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,esk2_0))),
inference(rw,[status(thm)],[2256775,36,theory(equality)]) ).
cnf(2257036,negated_conjecture,
multiplication(one,esk3_0) = multiplication(antidomain(multiplication(esk1_0,esk2_0)),esk3_0),
inference(spm,[status(thm)],[490,2256776,theory(equality)]) ).
cnf(2257419,negated_conjecture,
esk3_0 = multiplication(antidomain(multiplication(esk1_0,esk2_0)),esk3_0),
inference(rw,[status(thm)],[2257036,30,theory(equality)]) ).
cnf(2258053,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),esk3_0) = zero,
inference(spm,[status(thm)],[5664,2257419,theory(equality)]) ).
cnf(2262537,negated_conjecture,
multiplication(antidomain(zero),multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0)))) = zero,
inference(spm,[status(thm)],[502,2258053,theory(equality)]) ).
cnf(2262982,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2262537,276,theory(equality)]),30,theory(equality)]) ).
cnf(2262983,negated_conjecture,
$false,
inference(sr,[status(thm)],[2262982,2255,theory(equality)]) ).
cnf(2262984,negated_conjecture,
$false,
2262983,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE102+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/tmpa_o245/sel_KLE102+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpa_o245/sel_KLE102+1.p_2 with time limit 81
% -prover status Theorem
% Problem KLE102+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE102+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE102+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
%
%------------------------------------------------------------------------------