TSTP Solution File: KLE100+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE100+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 12:16:58 EST 2010
% Result : Theorem 194.42s
% Output : CNFRefutation 194.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 16
% Syntax : Number of formulae : 124 ( 118 unt; 0 def)
% Number of atoms : 130 ( 128 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 0 |; 3 &)
% ( 0 <=>; 1 =>; 2 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 171 ( 17 sgn 61 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',left_annihilation) ).
fof(3,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',multiplicative_left_identity) ).
fof(4,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',additive_identity) ).
fof(5,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',left_distributivity) ).
fof(6,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',additive_commutativity) ).
fof(8,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',multiplicative_associativity) ).
fof(12,axiom,
! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',forward_diamond) ).
fof(13,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',additive_associativity) ).
fof(14,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',multiplicative_right_identity) ).
fof(15,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',domain3) ).
fof(16,axiom,
! [X4,X5] : addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5))))) = antidomain(multiplication(X4,antidomain(antidomain(X5)))),
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',domain2) ).
fof(17,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',right_distributivity) ).
fof(18,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',additive_idempotence) ).
fof(19,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',domain1) ).
fof(20,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',domain4) ).
fof(21,conjecture,
! [X4,X5,X6] :
( addition(forward_diamond(X4,domain(X5)),domain(X6)) = domain(X6)
<= multiplication(antidomain(X6),multiplication(X4,domain(X5))) = zero ),
file('/tmp/tmpgELVqW/sel_KLE100+1.p_4',goals) ).
fof(22,negated_conjecture,
~ ! [X4,X5,X6] :
( addition(forward_diamond(X4,domain(X5)),domain(X6)) = domain(X6)
<= multiplication(antidomain(X6),multiplication(X4,domain(X5))) = zero ),
inference(assume_negation,[status(cth)],[21]) ).
fof(23,negated_conjecture,
~ ! [X4,X5,X6] :
( multiplication(antidomain(X6),multiplication(X4,domain(X5))) = zero
=> addition(forward_diamond(X4,domain(X5)),domain(X6)) = domain(X6) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(24,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[1]) ).
cnf(25,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[24]) ).
fof(28,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[3]) ).
cnf(29,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[4]) ).
cnf(31,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(33,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[6]) ).
cnf(35,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[34]) ).
fof(38,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[8]) ).
cnf(39,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[38]) ).
fof(46,plain,
! [X6,X7] : forward_diamond(X6,X7) = domain(multiplication(X6,domain(X7))),
inference(variable_rename,[status(thm)],[12]) ).
cnf(47,plain,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[46]) ).
fof(48,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[13]) ).
cnf(49,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[48]) ).
fof(50,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[14]) ).
cnf(51,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[50]) ).
fof(52,plain,
! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
inference(variable_rename,[status(thm)],[15]) ).
cnf(53,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[52]) ).
fof(54,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)],[16]) ).
cnf(55,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(split_conjunct,[status(thm)],[54]) ).
fof(56,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[17]) ).
cnf(57,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[56]) ).
fof(58,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[18]) ).
cnf(59,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[58]) ).
fof(60,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[19]) ).
cnf(61,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[60]) ).
fof(62,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[20]) ).
cnf(63,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[62]) ).
fof(64,negated_conjecture,
? [X4,X5,X6] :
( multiplication(antidomain(X6),multiplication(X4,domain(X5))) = zero
& addition(forward_diamond(X4,domain(X5)),domain(X6)) != domain(X6) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(65,negated_conjecture,
? [X7,X8,X9] :
( multiplication(antidomain(X9),multiplication(X7,domain(X8))) = zero
& addition(forward_diamond(X7,domain(X8)),domain(X9)) != domain(X9) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,negated_conjecture,
( multiplication(antidomain(esk3_0),multiplication(esk1_0,domain(esk2_0))) = zero
& addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) != domain(esk3_0) ),
inference(skolemize,[status(esa)],[65]) ).
cnf(67,negated_conjecture,
addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) != domain(esk3_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
multiplication(antidomain(esk3_0),multiplication(esk1_0,domain(esk2_0))) = zero,
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,plain,
antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))) = forward_diamond(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[47,63,theory(equality)]),63,theory(equality)]),
[unfolding] ).
cnf(70,negated_conjecture,
multiplication(antidomain(esk3_0),multiplication(esk1_0,antidomain(antidomain(esk2_0)))) = zero,
inference(rw,[status(thm)],[68,63,theory(equality)]),
[unfolding] ).
cnf(71,negated_conjecture,
addition(forward_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)],[67,63,theory(equality)]),63,theory(equality)]),63,theory(equality)]),
[unfolding] ).
cnf(72,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) != antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[71,69,theory(equality)]),
[unfolding] ).
cnf(73,plain,
zero = antidomain(one),
inference(spm,[status(thm)],[51,61,theory(equality)]) ).
cnf(75,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[31,35,theory(equality)]) ).
cnf(81,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[53,35,theory(equality)]) ).
cnf(91,negated_conjecture,
multiplication(zero,X1) = multiplication(antidomain(esk3_0),multiplication(multiplication(esk1_0,antidomain(antidomain(esk2_0))),X1)),
inference(spm,[status(thm)],[39,70,theory(equality)]) ).
cnf(103,negated_conjecture,
zero = multiplication(antidomain(esk3_0),multiplication(multiplication(esk1_0,antidomain(antidomain(esk2_0))),X1)),
inference(rw,[status(thm)],[91,25,theory(equality)]) ).
cnf(104,negated_conjecture,
zero = multiplication(antidomain(esk3_0),multiplication(esk1_0,multiplication(antidomain(antidomain(esk2_0)),X1))),
inference(rw,[status(thm)],[103,39,theory(equality)]) ).
cnf(110,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[49,59,theory(equality)]) ).
cnf(111,plain,
addition(one,X2) = addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)),
inference(spm,[status(thm)],[49,81,theory(equality)]) ).
cnf(113,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[35,49,theory(equality)]) ).
cnf(129,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[57,51,theory(equality)]) ).
cnf(134,plain,
addition(multiplication(antidomain(X1),X2),zero) = multiplication(antidomain(X1),addition(X2,X1)),
inference(spm,[status(thm)],[57,61,theory(equality)]) ).
cnf(156,plain,
multiplication(antidomain(X1),X2) = multiplication(antidomain(X1),addition(X2,X1)),
inference(rw,[status(thm)],[134,31,theory(equality)]) ).
cnf(172,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[33,29,theory(equality)]) ).
cnf(175,plain,
addition(multiplication(X1,X2),zero) = multiplication(addition(X1,antidomain(X2)),X2),
inference(spm,[status(thm)],[33,61,theory(equality)]) ).
cnf(198,plain,
multiplication(X1,X2) = multiplication(addition(X1,antidomain(X2)),X2),
inference(rw,[status(thm)],[175,31,theory(equality)]) ).
cnf(205,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))) != antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[72,35,theory(equality)]) ).
cnf(249,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[81,73,theory(equality)]) ).
cnf(260,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[249,75,theory(equality)]) ).
cnf(369,plain,
addition(antidomain(X1),one) = one,
inference(spm,[status(thm)],[110,81,theory(equality)]) ).
cnf(380,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[110,35,theory(equality)]) ).
cnf(384,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[369,35,theory(equality)]) ).
cnf(542,plain,
multiplication(addition(antidomain(X2),X1),X2) = multiplication(X1,X2),
inference(spm,[status(thm)],[198,35,theory(equality)]) ).
cnf(585,plain,
multiplication(one,X1) = multiplication(antidomain(antidomain(X1)),X1),
inference(spm,[status(thm)],[542,81,theory(equality)]) ).
cnf(605,plain,
X1 = multiplication(antidomain(antidomain(X1)),X1),
inference(rw,[status(thm)],[585,29,theory(equality)]) ).
cnf(631,negated_conjecture,
multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0)) = zero,
inference(spm,[status(thm)],[104,605,theory(equality)]) ).
cnf(646,negated_conjecture,
addition(antidomain(zero),antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))))) = antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))),
inference(spm,[status(thm)],[55,631,theory(equality)]) ).
cnf(656,negated_conjecture,
one = antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[646,260,theory(equality)]),384,theory(equality)]) ).
cnf(772,plain,
multiplication(antidomain(antidomain(antidomain(X1))),one) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
inference(spm,[status(thm)],[156,81,theory(equality)]) ).
cnf(791,plain,
multiplication(antidomain(addition(X1,X2)),addition(X1,X2)) = multiplication(antidomain(addition(X1,X2)),X1),
inference(spm,[status(thm)],[156,110,theory(equality)]) ).
cnf(792,plain,
multiplication(antidomain(addition(X1,X2)),addition(X1,X2)) = multiplication(antidomain(addition(X1,X2)),X2),
inference(spm,[status(thm)],[156,380,theory(equality)]) ).
cnf(796,plain,
antidomain(antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
inference(rw,[status(thm)],[772,51,theory(equality)]) ).
cnf(797,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[796,605,theory(equality)]) ).
cnf(813,plain,
zero = multiplication(antidomain(addition(X1,X2)),X1),
inference(rw,[status(thm)],[791,61,theory(equality)]) ).
cnf(814,plain,
zero = multiplication(antidomain(addition(X1,X2)),X2),
inference(rw,[status(thm)],[792,61,theory(equality)]) ).
cnf(834,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))) != antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[205,797,theory(equality)]) ).
cnf(888,plain,
addition(zero,multiplication(X3,X1)) = multiplication(addition(antidomain(addition(X1,X2)),X3),X1),
inference(spm,[status(thm)],[33,813,theory(equality)]) ).
cnf(912,plain,
multiplication(X3,X1) = multiplication(addition(antidomain(addition(X1,X2)),X3),X1),
inference(rw,[status(thm)],[888,75,theory(equality)]) ).
cnf(936,plain,
multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),addition(one,X2)) = multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)),
inference(spm,[status(thm)],[156,111,theory(equality)]) ).
cnf(1051,plain,
addition(multiplication(antidomain(addition(X1,X2)),X3),zero) = multiplication(antidomain(addition(X1,X2)),addition(X3,X2)),
inference(spm,[status(thm)],[57,814,theory(equality)]) ).
cnf(1080,plain,
multiplication(antidomain(addition(X1,X2)),X3) = multiplication(antidomain(addition(X1,X2)),addition(X3,X2)),
inference(rw,[status(thm)],[1051,31,theory(equality)]) ).
cnf(1631,negated_conjecture,
multiplication(one,multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))) = zero,
inference(spm,[status(thm)],[61,656,theory(equality)]) ).
cnf(1648,negated_conjecture,
multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))) = zero,
inference(rw,[status(thm)],[1631,29,theory(equality)]) ).
cnf(1668,negated_conjecture,
addition(zero,multiplication(antidomain(esk3_0),X1)) = multiplication(antidomain(esk3_0),addition(antidomain(antidomain(multiplication(esk1_0,esk2_0))),X1)),
inference(spm,[status(thm)],[57,1648,theory(equality)]) ).
cnf(1680,negated_conjecture,
multiplication(antidomain(esk3_0),X1) = multiplication(antidomain(esk3_0),addition(antidomain(antidomain(multiplication(esk1_0,esk2_0))),X1)),
inference(rw,[status(thm)],[1668,75,theory(equality)]) ).
cnf(7887,plain,
multiplication(one,X1) = multiplication(antidomain(antidomain(addition(X1,X2))),X1),
inference(spm,[status(thm)],[912,81,theory(equality)]) ).
cnf(7974,plain,
X1 = multiplication(antidomain(antidomain(addition(X1,X2))),X1),
inference(rw,[status(thm)],[7887,29,theory(equality)]) ).
cnf(8103,plain,
multiplication(antidomain(antidomain(addition(X3,addition(X1,X2)))),X1) = X1,
inference(spm,[status(thm)],[7974,113,theory(equality)]) ).
cnf(26381,negated_conjecture,
multiplication(antidomain(esk3_0),one) = multiplication(antidomain(esk3_0),antidomain(antidomain(antidomain(multiplication(esk1_0,esk2_0))))),
inference(spm,[status(thm)],[1680,81,theory(equality)]) ).
cnf(26451,negated_conjecture,
antidomain(esk3_0) = multiplication(antidomain(esk3_0),antidomain(antidomain(antidomain(multiplication(esk1_0,esk2_0))))),
inference(rw,[status(thm)],[26381,51,theory(equality)]) ).
cnf(26452,negated_conjecture,
antidomain(esk3_0) = multiplication(antidomain(esk3_0),antidomain(multiplication(esk1_0,esk2_0))),
inference(rw,[status(thm)],[26451,797,theory(equality)]) ).
cnf(26515,negated_conjecture,
addition(antidomain(multiplication(esk1_0,esk2_0)),antidomain(esk3_0)) = multiplication(addition(one,antidomain(esk3_0)),antidomain(multiplication(esk1_0,esk2_0))),
inference(spm,[status(thm)],[172,26452,theory(equality)]) ).
cnf(26562,negated_conjecture,
addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,esk2_0))) = multiplication(addition(one,antidomain(esk3_0)),antidomain(multiplication(esk1_0,esk2_0))),
inference(rw,[status(thm)],[26515,35,theory(equality)]) ).
cnf(26563,negated_conjecture,
addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,esk2_0))) = antidomain(multiplication(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[26562,384,theory(equality)]),29,theory(equality)]) ).
cnf(26608,negated_conjecture,
multiplication(antidomain(antidomain(addition(X1,antidomain(multiplication(esk1_0,esk2_0))))),antidomain(esk3_0)) = antidomain(esk3_0),
inference(spm,[status(thm)],[8103,26563,theory(equality)]) ).
cnf(39636,negated_conjecture,
multiplication(antidomain(antidomain(addition(antidomain(multiplication(esk1_0,esk2_0)),X1))),antidomain(esk3_0)) = antidomain(esk3_0),
inference(spm,[status(thm)],[26608,35,theory(equality)]) ).
cnf(39979,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))),antidomain(esk3_0)) = antidomain(esk3_0),
inference(spm,[status(thm)],[39636,55,theory(equality)]) ).
cnf(40065,negated_conjecture,
multiplication(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),antidomain(esk3_0)) = antidomain(esk3_0),
inference(rw,[status(thm)],[39979,797,theory(equality)]) ).
cnf(40139,negated_conjecture,
addition(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),antidomain(esk3_0)) = multiplication(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),addition(one,antidomain(esk3_0))),
inference(spm,[status(thm)],[129,40065,theory(equality)]) ).
cnf(40193,negated_conjecture,
addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))) = multiplication(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),addition(one,antidomain(esk3_0))),
inference(rw,[status(thm)],[40139,35,theory(equality)]) ).
cnf(40194,negated_conjecture,
addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))) = antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[40193,384,theory(equality)]),51,theory(equality)]) ).
cnf(128256,plain,
antidomain(addition(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[936,1080,theory(equality)]),51,theory(equality)]) ).
cnf(129829,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)],[172,128256,theory(equality)]) ).
cnf(130014,plain,
addition(antidomain(X1),antidomain(addition(antidomain(antidomain(X1)),X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[129829,384,theory(equality)]),29,theory(equality)]) ).
cnf(172006,plain,
addition(antidomain(antidomain(X1)),antidomain(addition(antidomain(X1),X2))) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[130014,797,theory(equality)]) ).
cnf(300415,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))) = antidomain(antidomain(esk3_0)),
inference(spm,[status(thm)],[172006,40194,theory(equality)]) ).
cnf(300772,negated_conjecture,
$false,
inference(sr,[status(thm)],[300415,834,theory(equality)]) ).
cnf(300773,negated_conjecture,
$false,
300772,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE100+1.p
% --creating new selector for [KLE001+0.ax, KLE001+4.ax, KLE001+6.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpgELVqW/sel_KLE100+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpgELVqW/sel_KLE100+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+4.ax, KLE001+6.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpgELVqW/sel_KLE100+1.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+4.ax, KLE001+6.ax]
% -running prover on /tmp/tmpgELVqW/sel_KLE100+1.p_4 with time limit 55
% -prover status Theorem
% Problem KLE100+1.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE100+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE100+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
%
%------------------------------------------------------------------------------