TSTP Solution File: KLE160+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE160+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 12:45:11 EST 2010
% Result : Theorem 11.56s
% Output : CNFRefutation 11.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of formulae : 134 ( 97 unt; 0 def)
% Number of atoms : 175 ( 78 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 73 ( 32 ~; 31 |; 5 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 212 ( 11 sgn 68 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',multiplicative_left_identity) ).
fof(2,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',additive_commutativity) ).
fof(3,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',multiplicative_associativity) ).
fof(4,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',idempotence) ).
fof(5,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X3,X1),X2),X3)
=> leq(multiplication(X2,star(X1)),X3) ),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',star_induction2) ).
fof(6,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X3),X2),X3)
=> leq(multiplication(star(X1),X2),X3) ),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',star_induction1) ).
fof(7,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',additive_associativity) ).
fof(8,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',multiplicative_right_identity) ).
fof(9,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',distributivity2) ).
fof(10,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',distributivity1) ).
fof(11,axiom,
! [X1] : addition(one,multiplication(X1,star(X1))) = star(X1),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',star_unfold1) ).
fof(12,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',order) ).
fof(13,axiom,
! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',star_unfold2) ).
fof(14,conjecture,
! [X4,X5,X6] :
( leq(multiplication(X4,X5),multiplication(X5,X6))
=> leq(multiplication(star(X4),X5),multiplication(X5,star(X6))) ),
file('/tmp/tmpGZ0ESl/sel_KLE160+1.p_1',goals) ).
fof(15,negated_conjecture,
~ ! [X4,X5,X6] :
( leq(multiplication(X4,X5),multiplication(X5,X6))
=> leq(multiplication(star(X4),X5),multiplication(X5,star(X6))) ),
inference(assume_negation,[status(cth)],[14]) ).
fof(16,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[1]) ).
cnf(17,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[16]) ).
fof(18,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[2]) ).
cnf(19,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[3]) ).
cnf(21,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[20]) ).
fof(22,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[4]) ).
cnf(23,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X1,X2,X3] :
( ~ leq(addition(multiplication(X3,X1),X2),X3)
| leq(multiplication(X2,star(X1)),X3) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(25,plain,
! [X4,X5,X6] :
( ~ leq(addition(multiplication(X6,X4),X5),X6)
| leq(multiplication(X5,star(X4)),X6) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(26,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(multiplication(X3,X2),X1),X3) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,plain,
! [X1,X2,X3] :
( ~ leq(addition(multiplication(X1,X3),X2),X3)
| leq(multiplication(star(X1),X2),X3) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(28,plain,
! [X4,X5,X6] :
( ~ leq(addition(multiplication(X4,X6),X5),X6)
| leq(multiplication(star(X4),X5),X6) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[7]) ).
cnf(31,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[8]) ).
cnf(33,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[9]) ).
cnf(35,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[10]) ).
cnf(37,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[36]) ).
fof(38,plain,
! [X2] : addition(one,multiplication(X2,star(X2))) = star(X2),
inference(variable_rename,[status(thm)],[11]) ).
cnf(39,plain,
addition(one,multiplication(X1,star(X1))) = star(X1),
inference(split_conjunct,[status(thm)],[38]) ).
fof(40,plain,
! [X1,X2] :
( ( ~ leq(X1,X2)
| addition(X1,X2) = X2 )
& ( addition(X1,X2) != X2
| leq(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(41,plain,
! [X3,X4] :
( ( ~ leq(X3,X4)
| addition(X3,X4) = X4 )
& ( addition(X3,X4) != X4
| leq(X3,X4) ) ),
inference(variable_rename,[status(thm)],[40]) ).
cnf(42,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(43,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(44,plain,
! [X2] : addition(one,multiplication(star(X2),X2)) = star(X2),
inference(variable_rename,[status(thm)],[13]) ).
cnf(45,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,negated_conjecture,
? [X4,X5,X6] :
( leq(multiplication(X4,X5),multiplication(X5,X6))
& ~ leq(multiplication(star(X4),X5),multiplication(X5,star(X6))) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(47,negated_conjecture,
? [X7,X8,X9] :
( leq(multiplication(X7,X8),multiplication(X8,X9))
& ~ leq(multiplication(star(X7),X8),multiplication(X8,star(X9))) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,negated_conjecture,
( leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0))
& ~ leq(multiplication(star(esk1_0),esk2_0),multiplication(esk2_0,star(esk3_0))) ),
inference(skolemize,[status(esa)],[47]) ).
cnf(49,negated_conjecture,
~ leq(multiplication(star(esk1_0),esk2_0),multiplication(esk2_0,star(esk3_0))),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(50,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(57,plain,
leq(X1,X1),
inference(spm,[status(thm)],[42,23,theory(equality)]) ).
cnf(72,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0)) = multiplication(esk2_0,esk3_0),
inference(spm,[status(thm)],[43,50,theory(equality)]) ).
cnf(73,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),multiplication(esk1_0,esk2_0)) = multiplication(esk2_0,esk3_0),
inference(rw,[status(thm)],[72,19,theory(equality)]) ).
cnf(78,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(X1,multiplication(X3,X2)),X3) ),
inference(spm,[status(thm)],[26,19,theory(equality)]) ).
cnf(85,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(X2,multiplication(X1,X3)),X3) ),
inference(spm,[status(thm)],[29,19,theory(equality)]) ).
cnf(88,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[31,23,theory(equality)]) ).
cnf(101,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[37,33,theory(equality)]) ).
cnf(112,plain,
( leq(multiplication(multiplication(X1,X2),star(X3)),X1)
| ~ leq(multiplication(X1,addition(X3,X2)),X1) ),
inference(spm,[status(thm)],[26,37,theory(equality)]) ).
cnf(126,plain,
( leq(multiplication(X1,multiplication(X2,star(X3))),X1)
| ~ leq(multiplication(X1,addition(X3,X2)),X1) ),
inference(rw,[status(thm)],[112,21,theory(equality)]) ).
cnf(129,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[35,17,theory(equality)]) ).
cnf(132,plain,
addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3)) = multiplication(addition(multiplication(X1,X2),X4),X3),
inference(spm,[status(thm)],[35,21,theory(equality)]) ).
cnf(170,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[88,39,theory(equality)]) ).
cnf(179,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[88,19,theory(equality)]) ).
cnf(181,plain,
leq(X1,addition(X1,X2)),
inference(spm,[status(thm)],[42,88,theory(equality)]) ).
cnf(200,plain,
leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2)),
inference(spm,[status(thm)],[181,35,theory(equality)]) ).
cnf(203,plain,
leq(X1,addition(X2,X1)),
inference(spm,[status(thm)],[181,19,theory(equality)]) ).
cnf(227,plain,
leq(X1,addition(X2,addition(X3,X1))),
inference(spm,[status(thm)],[203,31,theory(equality)]) ).
cnf(298,plain,
leq(X1,multiplication(X1,addition(one,X2))),
inference(spm,[status(thm)],[181,101,theory(equality)]) ).
cnf(323,plain,
addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(one,multiplication(X2,X3)),X1),
inference(spm,[status(thm)],[129,21,theory(equality)]) ).
cnf(414,plain,
leq(X1,multiplication(X1,star(X2))),
inference(spm,[status(thm)],[298,39,theory(equality)]) ).
cnf(431,plain,
leq(multiplication(X1,X2),multiplication(X1,multiplication(X2,star(X3)))),
inference(spm,[status(thm)],[414,21,theory(equality)]) ).
cnf(647,plain,
addition(multiplication(X1,star(X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[179,39,theory(equality)]) ).
cnf(648,plain,
addition(multiplication(star(X1),X1),star(X1)) = star(X1),
inference(spm,[status(thm)],[179,45,theory(equality)]) ).
cnf(651,plain,
addition(X1,addition(X2,addition(X3,X1))) = addition(X2,addition(X3,X1)),
inference(spm,[status(thm)],[179,31,theory(equality)]) ).
cnf(680,plain,
multiplication(addition(one,X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[647,19,theory(equality)]),129,theory(equality)]) ).
cnf(681,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[648,19,theory(equality)]),101,theory(equality)]) ).
cnf(707,plain,
multiplication(star(X1),X2) = multiplication(addition(one,X1),multiplication(star(X1),X2)),
inference(spm,[status(thm)],[21,680,theory(equality)]) ).
cnf(711,plain,
addition(multiplication(X1,star(X2)),star(X2)) = multiplication(addition(X1,addition(one,X2)),star(X2)),
inference(spm,[status(thm)],[35,680,theory(equality)]) ).
cnf(719,plain,
leq(addition(one,X1),star(X1)),
inference(spm,[status(thm)],[414,680,theory(equality)]) ).
cnf(726,plain,
( leq(multiplication(star(addition(one,X1)),X2),star(X1))
| ~ leq(addition(star(X1),X2),star(X1)) ),
inference(spm,[status(thm)],[29,680,theory(equality)]) ).
cnf(732,plain,
multiplication(addition(one,X1),star(X2)) = multiplication(addition(X1,addition(one,X2)),star(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[711,19,theory(equality)]),129,theory(equality)]) ).
cnf(753,plain,
leq(addition(X1,one),star(X1)),
inference(spm,[status(thm)],[719,19,theory(equality)]) ).
cnf(769,plain,
addition(addition(X1,one),star(X1)) = star(X1),
inference(spm,[status(thm)],[43,753,theory(equality)]) ).
cnf(774,plain,
addition(X1,star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[769,31,theory(equality)]),170,theory(equality)]) ).
cnf(882,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),addition(X1,multiplication(esk2_0,esk3_0))),
inference(spm,[status(thm)],[227,73,theory(equality)]) ).
cnf(926,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(spm,[status(thm)],[681,19,theory(equality)]) ).
cnf(990,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,addition(X1,esk3_0))),
inference(spm,[status(thm)],[882,37,theory(equality)]) ).
cnf(1562,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,addition(esk3_0,X1))),
inference(spm,[status(thm)],[990,19,theory(equality)]) ).
cnf(1825,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,star(esk3_0))),
inference(spm,[status(thm)],[1562,774,theory(equality)]) ).
cnf(1838,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_0)),
inference(spm,[status(thm)],[43,1825,theory(equality)]) ).
cnf(2908,negated_conjecture,
leq(multiplication(multiplication(esk1_0,esk2_0),X1),multiplication(multiplication(esk2_0,star(esk3_0)),X1)),
inference(spm,[status(thm)],[200,1838,theory(equality)]) ).
cnf(2945,negated_conjecture,
leq(multiplication(esk1_0,multiplication(esk2_0,X1)),multiplication(esk2_0,multiplication(star(esk3_0),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2908,21,theory(equality)]),21,theory(equality)]) ).
cnf(3220,plain,
( leq(multiplication(X1,star(X2)),X1)
| ~ leq(multiplication(X1,addition(one,X2)),X1) ),
inference(spm,[status(thm)],[78,101,theory(equality)]) ).
cnf(3572,plain,
( leq(multiplication(star(X1),multiplication(X1,X2)),X2)
| ~ leq(multiplication(X1,X2),X2) ),
inference(spm,[status(thm)],[85,23,theory(equality)]) ).
cnf(5447,plain,
( leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1))
| ~ leq(star(X1),star(X1)) ),
inference(spm,[status(thm)],[126,926,theory(equality)]) ).
cnf(5490,plain,
( leq(multiplication(star(X1),star(X1)),star(X1))
| ~ leq(star(X1),star(X1)) ),
inference(rw,[status(thm)],[5447,17,theory(equality)]) ).
cnf(5491,plain,
( leq(multiplication(star(X1),star(X1)),star(X1))
| $false ),
inference(rw,[status(thm)],[5490,57,theory(equality)]) ).
cnf(5492,plain,
leq(multiplication(star(X1),star(X1)),star(X1)),
inference(cn,[status(thm)],[5491,theory(equality)]) ).
cnf(8468,plain,
addition(multiplication(star(X1),star(X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[43,5492,theory(equality)]) ).
cnf(8472,plain,
multiplication(star(X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8468,19,theory(equality)]),101,theory(equality)]),170,theory(equality)]) ).
cnf(16663,plain,
multiplication(addition(one,multiplication(X1,X2)),X1) = multiplication(X1,addition(one,multiplication(X2,X1))),
inference(spm,[status(thm)],[101,323,theory(equality)]) ).
cnf(27449,plain,
multiplication(star(X1),X1) = multiplication(X1,addition(one,multiplication(star(X1),X1))),
inference(spm,[status(thm)],[16663,39,theory(equality)]) ).
cnf(27608,plain,
multiplication(star(X1),X1) = multiplication(X1,star(X1)),
inference(rw,[status(thm)],[27449,45,theory(equality)]) ).
cnf(27747,plain,
multiplication(multiplication(X1,star(X1)),X2) = multiplication(star(X1),multiplication(X1,X2)),
inference(spm,[status(thm)],[21,27608,theory(equality)]) ).
cnf(27897,plain,
multiplication(X1,multiplication(star(X1),X2)) = multiplication(star(X1),multiplication(X1,X2)),
inference(rw,[status(thm)],[27747,21,theory(equality)]) ).
cnf(36674,plain,
multiplication(addition(one,addition(X2,X1)),star(addition(X2,X1))) = multiplication(addition(one,X1),star(addition(X2,X1))),
inference(spm,[status(thm)],[732,651,theory(equality)]) ).
cnf(36815,plain,
star(addition(X2,X1)) = multiplication(addition(one,X1),star(addition(X2,X1))),
inference(rw,[status(thm)],[36674,680,theory(equality)]) ).
cnf(52767,plain,
( leq(multiplication(star(addition(one,X1)),star(X1)),star(X1))
| ~ leq(star(X1),star(X1)) ),
inference(spm,[status(thm)],[726,23,theory(equality)]) ).
cnf(52803,plain,
( leq(multiplication(star(addition(one,X1)),star(X1)),star(X1))
| $false ),
inference(rw,[status(thm)],[52767,57,theory(equality)]) ).
cnf(52804,plain,
leq(multiplication(star(addition(one,X1)),star(X1)),star(X1)),
inference(cn,[status(thm)],[52803,theory(equality)]) ).
cnf(124269,plain,
( leq(multiplication(X1,multiplication(star(X1),X2)),X2)
| ~ leq(multiplication(X1,X2),X2) ),
inference(rw,[status(thm)],[3572,27897,theory(equality)]) ).
cnf(163965,plain,
addition(multiplication(star(addition(one,X1)),star(X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[43,52804,theory(equality)]) ).
cnf(164023,plain,
multiplication(star(addition(one,X1)),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[163965,19,theory(equality)]),129,theory(equality)]),170,theory(equality)]) ).
cnf(164034,plain,
addition(star(addition(one,X1)),star(X1)) = multiplication(star(addition(one,X1)),addition(one,star(X1))),
inference(spm,[status(thm)],[101,164023,theory(equality)]) ).
cnf(164262,plain,
addition(star(X1),star(addition(one,X1))) = multiplication(star(addition(one,X1)),addition(one,star(X1))),
inference(rw,[status(thm)],[164034,19,theory(equality)]) ).
cnf(164263,plain,
addition(star(X1),star(addition(one,X1))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[164262,170,theory(equality)]),164023,theory(equality)]) ).
cnf(185104,plain,
( leq(multiplication(star(addition(one,X1)),star(X1)),star(addition(one,X1)))
| ~ leq(multiplication(addition(one,X1),star(addition(one,X1))),star(addition(one,X1))) ),
inference(spm,[status(thm)],[3220,27608,theory(equality)]) ).
cnf(185209,plain,
( leq(star(X1),star(addition(one,X1)))
| ~ leq(multiplication(addition(one,X1),star(addition(one,X1))),star(addition(one,X1))) ),
inference(rw,[status(thm)],[185104,164023,theory(equality)]) ).
cnf(185210,plain,
( leq(star(X1),star(addition(one,X1)))
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[185209,36815,theory(equality)]),57,theory(equality)]) ).
cnf(185211,plain,
leq(star(X1),star(addition(one,X1))),
inference(cn,[status(thm)],[185210,theory(equality)]) ).
cnf(185534,plain,
addition(star(X1),star(addition(one,X1))) = star(addition(one,X1)),
inference(spm,[status(thm)],[43,185211,theory(equality)]) ).
cnf(185591,plain,
star(X1) = star(addition(one,X1)),
inference(rw,[status(thm)],[185534,164263,theory(equality)]) ).
cnf(291359,negated_conjecture,
leq(multiplication(esk1_0,multiplication(esk2_0,star(esk3_0))),multiplication(esk2_0,star(esk3_0))),
inference(spm,[status(thm)],[2945,8472,theory(equality)]) ).
cnf(291387,negated_conjecture,
addition(multiplication(esk1_0,multiplication(esk2_0,star(esk3_0))),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_0)),
inference(spm,[status(thm)],[43,291359,theory(equality)]) ).
cnf(291389,negated_conjecture,
multiplication(addition(one,esk1_0),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[291387,132,theory(equality)]),19,theory(equality)]),129,theory(equality)]),21,theory(equality)]) ).
cnf(291540,negated_conjecture,
( leq(multiplication(addition(one,esk1_0),multiplication(star(addition(one,esk1_0)),multiplication(esk2_0,star(esk3_0)))),multiplication(esk2_0,star(esk3_0)))
| ~ leq(multiplication(esk2_0,star(esk3_0)),multiplication(esk2_0,star(esk3_0))) ),
inference(spm,[status(thm)],[124269,291389,theory(equality)]) ).
cnf(291709,negated_conjecture,
( leq(multiplication(star(esk1_0),multiplication(esk2_0,star(esk3_0))),multiplication(esk2_0,star(esk3_0)))
| ~ leq(multiplication(esk2_0,star(esk3_0)),multiplication(esk2_0,star(esk3_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[291540,185591,theory(equality)]),707,theory(equality)]) ).
cnf(291710,negated_conjecture,
( leq(multiplication(star(esk1_0),multiplication(esk2_0,star(esk3_0))),multiplication(esk2_0,star(esk3_0)))
| $false ),
inference(rw,[status(thm)],[291709,57,theory(equality)]) ).
cnf(291711,negated_conjecture,
leq(multiplication(star(esk1_0),multiplication(esk2_0,star(esk3_0))),multiplication(esk2_0,star(esk3_0))),
inference(cn,[status(thm)],[291710,theory(equality)]) ).
cnf(322563,negated_conjecture,
addition(multiplication(star(esk1_0),multiplication(esk2_0,star(esk3_0))),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_0)),
inference(spm,[status(thm)],[43,291711,theory(equality)]) ).
cnf(322565,negated_conjecture,
multiplication(star(esk1_0),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[322563,132,theory(equality)]),19,theory(equality)]),129,theory(equality)]),170,theory(equality)]),21,theory(equality)]) ).
cnf(322594,negated_conjecture,
leq(multiplication(star(esk1_0),esk2_0),multiplication(esk2_0,star(esk3_0))),
inference(spm,[status(thm)],[431,322565,theory(equality)]) ).
cnf(322727,negated_conjecture,
$false,
inference(sr,[status(thm)],[322594,49,theory(equality)]) ).
cnf(322728,negated_conjecture,
$false,
322727,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE160+1.p
% --creating new selector for [KLE004+0.ax]
% -running prover on /tmp/tmpGZ0ESl/sel_KLE160+1.p_1 with time limit 29
% -prover status Theorem
% Problem KLE160+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE160+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE160+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
%
%------------------------------------------------------------------------------