TSTP Solution File: KLE159+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE159+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 12:49:24 EST 2010
% Result : Theorem 13.33s
% Output : CNFRefutation 13.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of formulae : 135 ( 97 unt; 0 def)
% Number of atoms : 177 ( 76 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 75 ( 33 ~; 32 |; 5 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 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 : 214 ( 14 sgn 68 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpJiEBoP/sel_KLE159+1.p_1',multiplicative_left_identity) ).
fof(2,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpJiEBoP/sel_KLE159+1.p_1',additive_commutativity) ).
fof(3,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpJiEBoP/sel_KLE159+1.p_1',multiplicative_associativity) ).
fof(4,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpJiEBoP/sel_KLE159+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/tmpJiEBoP/sel_KLE159+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/tmpJiEBoP/sel_KLE159+1.p_1',star_induction1) ).
fof(7,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpJiEBoP/sel_KLE159+1.p_1',additive_associativity) ).
fof(8,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpJiEBoP/sel_KLE159+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/tmpJiEBoP/sel_KLE159+1.p_1',distributivity2) ).
fof(10,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpJiEBoP/sel_KLE159+1.p_1',distributivity1) ).
fof(11,axiom,
! [X1] : addition(one,multiplication(X1,star(X1))) = star(X1),
file('/tmp/tmpJiEBoP/sel_KLE159+1.p_1',star_unfold1) ).
fof(12,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/tmp/tmpJiEBoP/sel_KLE159+1.p_1',order) ).
fof(13,axiom,
! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
file('/tmp/tmpJiEBoP/sel_KLE159+1.p_1',star_unfold2) ).
fof(14,conjecture,
! [X4,X5,X6] :
( leq(multiplication(X4,X5),multiplication(X6,X4))
=> leq(multiplication(X4,star(X5)),multiplication(star(X6),X4)) ),
file('/tmp/tmpJiEBoP/sel_KLE159+1.p_1',goals) ).
fof(15,negated_conjecture,
~ ! [X4,X5,X6] :
( leq(multiplication(X4,X5),multiplication(X6,X4))
=> leq(multiplication(X4,star(X5)),multiplication(star(X6),X4)) ),
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(X6,X4))
& ~ leq(multiplication(X4,star(X5)),multiplication(star(X6),X4)) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(47,negated_conjecture,
? [X7,X8,X9] :
( leq(multiplication(X7,X8),multiplication(X9,X7))
& ~ leq(multiplication(X7,star(X8)),multiplication(star(X9),X7)) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,negated_conjecture,
( leq(multiplication(esk1_0,esk2_0),multiplication(esk3_0,esk1_0))
& ~ leq(multiplication(esk1_0,star(esk2_0)),multiplication(star(esk3_0),esk1_0)) ),
inference(skolemize,[status(esa)],[47]) ).
cnf(49,negated_conjecture,
~ leq(multiplication(esk1_0,star(esk2_0)),multiplication(star(esk3_0),esk1_0)),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(50,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk3_0,esk1_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(esk3_0,esk1_0)) = multiplication(esk3_0,esk1_0),
inference(spm,[status(thm)],[43,50,theory(equality)]) ).
cnf(75,plain,
( leq(multiplication(multiplication(X1,X2),star(X2)),X1)
| ~ leq(multiplication(X1,X2),X1) ),
inference(spm,[status(thm)],[26,23,theory(equality)]) ).
cnf(77,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(X1,multiplication(X3,X2)),X3) ),
inference(spm,[status(thm)],[26,19,theory(equality)]) ).
cnf(79,plain,
( leq(multiplication(X1,multiplication(X2,star(X2))),X1)
| ~ leq(multiplication(X1,X2),X1) ),
inference(rw,[status(thm)],[75,21,theory(equality)]) ).
cnf(87,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[31,23,theory(equality)]) ).
cnf(100,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[37,33,theory(equality)]) ).
cnf(111,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(125,plain,
( leq(multiplication(X1,multiplication(X2,star(X3))),X1)
| ~ leq(multiplication(X1,addition(X3,X2)),X1) ),
inference(rw,[status(thm)],[111,21,theory(equality)]) ).
cnf(128,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[35,17,theory(equality)]) ).
cnf(169,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[87,39,theory(equality)]) ).
cnf(178,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[87,19,theory(equality)]) ).
cnf(180,plain,
leq(X1,addition(X1,X2)),
inference(spm,[status(thm)],[42,87,theory(equality)]) ).
cnf(198,plain,
leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3))),
inference(spm,[status(thm)],[180,37,theory(equality)]) ).
cnf(202,plain,
leq(X1,addition(X2,X1)),
inference(spm,[status(thm)],[180,19,theory(equality)]) ).
cnf(226,plain,
leq(X1,addition(X2,addition(X3,X1))),
inference(spm,[status(thm)],[202,31,theory(equality)]) ).
cnf(297,plain,
leq(X1,multiplication(X1,addition(one,X2))),
inference(spm,[status(thm)],[180,100,theory(equality)]) ).
cnf(322,plain,
addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(one,multiplication(X2,X3)),X1),
inference(spm,[status(thm)],[128,21,theory(equality)]) ).
cnf(325,plain,
multiplication(addition(one,X1),multiplication(X1,X2)) = multiplication(X1,addition(X2,multiplication(X1,X2))),
inference(spm,[status(thm)],[37,128,theory(equality)]) ).
cnf(327,plain,
leq(X1,multiplication(addition(one,X2),X1)),
inference(spm,[status(thm)],[180,128,theory(equality)]) ).
cnf(340,plain,
multiplication(addition(one,X1),multiplication(X1,X2)) = multiplication(X1,multiplication(addition(one,X1),X2)),
inference(rw,[status(thm)],[325,128,theory(equality)]) ).
cnf(411,plain,
leq(X1,multiplication(X1,star(X2))),
inference(spm,[status(thm)],[297,39,theory(equality)]) ).
cnf(438,plain,
leq(X1,multiplication(star(X2),X1)),
inference(spm,[status(thm)],[327,39,theory(equality)]) ).
cnf(644,plain,
addition(multiplication(X1,star(X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[178,39,theory(equality)]) ).
cnf(645,plain,
addition(multiplication(star(X1),X1),star(X1)) = star(X1),
inference(spm,[status(thm)],[178,45,theory(equality)]) ).
cnf(648,plain,
addition(X1,addition(X2,addition(X3,X1))) = addition(X2,addition(X3,X1)),
inference(spm,[status(thm)],[178,31,theory(equality)]) ).
cnf(677,plain,
multiplication(addition(one,X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[644,19,theory(equality)]),128,theory(equality)]) ).
cnf(678,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[645,19,theory(equality)]),100,theory(equality)]) ).
cnf(708,plain,
addition(multiplication(X1,star(X2)),star(X2)) = multiplication(addition(X1,addition(one,X2)),star(X2)),
inference(spm,[status(thm)],[35,677,theory(equality)]) ).
cnf(716,plain,
leq(addition(one,X1),star(X1)),
inference(spm,[status(thm)],[411,677,theory(equality)]) ).
cnf(723,plain,
( leq(multiplication(star(addition(one,X1)),X2),star(X1))
| ~ leq(addition(star(X1),X2),star(X1)) ),
inference(spm,[status(thm)],[29,677,theory(equality)]) ).
cnf(729,plain,
multiplication(addition(one,X1),star(X2)) = multiplication(addition(X1,addition(one,X2)),star(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[708,19,theory(equality)]),128,theory(equality)]) ).
cnf(750,plain,
leq(addition(X1,one),star(X1)),
inference(spm,[status(thm)],[716,19,theory(equality)]) ).
cnf(766,plain,
addition(addition(X1,one),star(X1)) = star(X1),
inference(spm,[status(thm)],[43,750,theory(equality)]) ).
cnf(771,plain,
addition(X1,star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[766,31,theory(equality)]),169,theory(equality)]) ).
cnf(885,plain,
leq(X1,addition(X2,addition(X1,X3))),
inference(spm,[status(thm)],[226,19,theory(equality)]) ).
cnf(924,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(spm,[status(thm)],[678,19,theory(equality)]) ).
cnf(1910,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),addition(X1,multiplication(esk3_0,esk1_0))),
inference(spm,[status(thm)],[885,72,theory(equality)]) ).
cnf(2114,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(addition(X1,esk3_0),esk1_0)),
inference(spm,[status(thm)],[1910,35,theory(equality)]) ).
cnf(2148,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(addition(esk3_0,X1),esk1_0)),
inference(spm,[status(thm)],[2114,19,theory(equality)]) ).
cnf(2371,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(star(esk3_0),esk1_0)),
inference(spm,[status(thm)],[2148,771,theory(equality)]) ).
cnf(2436,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),multiplication(star(esk3_0),esk1_0)) = multiplication(star(esk3_0),esk1_0),
inference(spm,[status(thm)],[43,2371,theory(equality)]) ).
cnf(2615,negated_conjecture,
leq(multiplication(X1,multiplication(esk1_0,esk2_0)),multiplication(X1,multiplication(star(esk3_0),esk1_0))),
inference(spm,[status(thm)],[198,2436,theory(equality)]) ).
cnf(2827,plain,
( leq(multiplication(multiplication(X1,X2),multiplication(X3,star(X3))),multiplication(X1,X2))
| ~ leq(multiplication(X1,multiplication(X2,X3)),multiplication(X1,X2)) ),
inference(spm,[status(thm)],[79,21,theory(equality)]) ).
cnf(2841,plain,
( leq(multiplication(X1,multiplication(X2,multiplication(X3,star(X3)))),multiplication(X1,X2))
| ~ leq(multiplication(X1,multiplication(X2,X3)),multiplication(X1,X2)) ),
inference(rw,[status(thm)],[2827,21,theory(equality)]) ).
cnf(3086,plain,
( leq(multiplication(X1,star(X2)),X1)
| ~ leq(multiplication(X1,addition(one,X2)),X1) ),
inference(spm,[status(thm)],[77,100,theory(equality)]) ).
cnf(5294,plain,
( leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1))
| ~ leq(star(X1),star(X1)) ),
inference(spm,[status(thm)],[125,924,theory(equality)]) ).
cnf(5335,plain,
( leq(multiplication(star(X1),star(X1)),star(X1))
| ~ leq(star(X1),star(X1)) ),
inference(rw,[status(thm)],[5294,17,theory(equality)]) ).
cnf(5336,plain,
( leq(multiplication(star(X1),star(X1)),star(X1))
| $false ),
inference(rw,[status(thm)],[5335,57,theory(equality)]) ).
cnf(5337,plain,
leq(multiplication(star(X1),star(X1)),star(X1)),
inference(cn,[status(thm)],[5336,theory(equality)]) ).
cnf(7002,plain,
addition(multiplication(star(X1),star(X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[43,5337,theory(equality)]) ).
cnf(7006,plain,
multiplication(star(X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7002,19,theory(equality)]),100,theory(equality)]),169,theory(equality)]) ).
cnf(7229,plain,
multiplication(star(X1),X2) = multiplication(star(X1),multiplication(star(X1),X2)),
inference(spm,[status(thm)],[21,7006,theory(equality)]) ).
cnf(16350,plain,
multiplication(addition(one,multiplication(X1,X2)),X1) = multiplication(X1,addition(one,multiplication(X2,X1))),
inference(spm,[status(thm)],[100,322,theory(equality)]) ).
cnf(29332,plain,
multiplication(star(X1),X1) = multiplication(X1,addition(one,multiplication(star(X1),X1))),
inference(spm,[status(thm)],[16350,39,theory(equality)]) ).
cnf(29503,plain,
multiplication(star(X1),X1) = multiplication(X1,star(X1)),
inference(rw,[status(thm)],[29332,45,theory(equality)]) ).
cnf(37324,plain,
multiplication(addition(one,addition(X2,X1)),star(addition(X2,X1))) = multiplication(addition(one,X1),star(addition(X2,X1))),
inference(spm,[status(thm)],[729,648,theory(equality)]) ).
cnf(37468,plain,
star(addition(X2,X1)) = multiplication(addition(one,X1),star(addition(X2,X1))),
inference(rw,[status(thm)],[37324,677,theory(equality)]) ).
cnf(53138,plain,
( leq(multiplication(star(addition(one,X1)),star(X1)),star(X1))
| ~ leq(star(X1),star(X1)) ),
inference(spm,[status(thm)],[723,23,theory(equality)]) ).
cnf(53174,plain,
( leq(multiplication(star(addition(one,X1)),star(X1)),star(X1))
| $false ),
inference(rw,[status(thm)],[53138,57,theory(equality)]) ).
cnf(53175,plain,
leq(multiplication(star(addition(one,X1)),star(X1)),star(X1)),
inference(cn,[status(thm)],[53174,theory(equality)]) ).
cnf(153620,plain,
addition(multiplication(star(addition(one,X1)),star(X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[43,53175,theory(equality)]) ).
cnf(153676,plain,
multiplication(star(addition(one,X1)),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[153620,19,theory(equality)]),128,theory(equality)]),169,theory(equality)]) ).
cnf(153687,plain,
addition(star(addition(one,X1)),star(X1)) = multiplication(star(addition(one,X1)),addition(one,star(X1))),
inference(spm,[status(thm)],[100,153676,theory(equality)]) ).
cnf(153911,plain,
addition(star(X1),star(addition(one,X1))) = multiplication(star(addition(one,X1)),addition(one,star(X1))),
inference(rw,[status(thm)],[153687,19,theory(equality)]) ).
cnf(153912,plain,
addition(star(X1),star(addition(one,X1))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[153911,169,theory(equality)]),153676,theory(equality)]) ).
cnf(185019,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)],[3086,29503,theory(equality)]) ).
cnf(185124,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)],[185019,153676,theory(equality)]) ).
cnf(185125,plain,
( leq(star(X1),star(addition(one,X1)))
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[185124,37468,theory(equality)]),57,theory(equality)]) ).
cnf(185126,plain,
leq(star(X1),star(addition(one,X1))),
inference(cn,[status(thm)],[185125,theory(equality)]) ).
cnf(185689,plain,
addition(star(X1),star(addition(one,X1))) = star(addition(one,X1)),
inference(spm,[status(thm)],[43,185126,theory(equality)]) ).
cnf(185746,plain,
star(X1) = star(addition(one,X1)),
inference(rw,[status(thm)],[185689,153912,theory(equality)]) ).
cnf(220510,negated_conjecture,
leq(multiplication(addition(one,star(esk3_0)),multiplication(esk1_0,esk2_0)),multiplication(star(esk3_0),multiplication(addition(one,star(esk3_0)),esk1_0))),
inference(spm,[status(thm)],[2615,340,theory(equality)]) ).
cnf(220531,negated_conjecture,
leq(multiplication(star(esk3_0),multiplication(esk1_0,esk2_0)),multiplication(star(esk3_0),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[220510,169,theory(equality)]),169,theory(equality)]),7229,theory(equality)]) ).
cnf(220541,negated_conjecture,
addition(multiplication(star(esk3_0),multiplication(esk1_0,esk2_0)),multiplication(star(esk3_0),esk1_0)) = multiplication(star(esk3_0),esk1_0),
inference(spm,[status(thm)],[43,220531,theory(equality)]) ).
cnf(220542,negated_conjecture,
multiplication(star(esk3_0),multiplication(esk1_0,addition(one,esk2_0))) = multiplication(star(esk3_0),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[220541,37,theory(equality)]),19,theory(equality)]),100,theory(equality)]) ).
cnf(360079,negated_conjecture,
( leq(multiplication(star(esk3_0),multiplication(esk1_0,multiplication(addition(one,esk2_0),star(addition(one,esk2_0))))),multiplication(star(esk3_0),esk1_0))
| ~ leq(multiplication(star(esk3_0),esk1_0),multiplication(star(esk3_0),esk1_0)) ),
inference(spm,[status(thm)],[2841,220542,theory(equality)]) ).
cnf(360287,negated_conjecture,
( leq(multiplication(star(esk3_0),multiplication(esk1_0,star(esk2_0))),multiplication(star(esk3_0),esk1_0))
| ~ leq(multiplication(star(esk3_0),esk1_0),multiplication(star(esk3_0),esk1_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[360079,185746,theory(equality)]),677,theory(equality)]) ).
cnf(360288,negated_conjecture,
( leq(multiplication(star(esk3_0),multiplication(esk1_0,star(esk2_0))),multiplication(star(esk3_0),esk1_0))
| $false ),
inference(rw,[status(thm)],[360287,57,theory(equality)]) ).
cnf(360289,negated_conjecture,
leq(multiplication(star(esk3_0),multiplication(esk1_0,star(esk2_0))),multiplication(star(esk3_0),esk1_0)),
inference(cn,[status(thm)],[360288,theory(equality)]) ).
cnf(383893,negated_conjecture,
addition(multiplication(star(esk3_0),multiplication(esk1_0,star(esk2_0))),multiplication(star(esk3_0),esk1_0)) = multiplication(star(esk3_0),esk1_0),
inference(spm,[status(thm)],[43,360289,theory(equality)]) ).
cnf(383895,negated_conjecture,
multiplication(star(esk3_0),multiplication(esk1_0,star(esk2_0))) = multiplication(star(esk3_0),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[383893,37,theory(equality)]),19,theory(equality)]),100,theory(equality)]),169,theory(equality)]) ).
cnf(383904,negated_conjecture,
leq(multiplication(esk1_0,star(esk2_0)),multiplication(star(esk3_0),esk1_0)),
inference(spm,[status(thm)],[438,383895,theory(equality)]) ).
cnf(384055,negated_conjecture,
$false,
inference(sr,[status(thm)],[383904,49,theory(equality)]) ).
cnf(384056,negated_conjecture,
$false,
384055,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE159+1.p
% --creating new selector for [KLE004+0.ax]
% -running prover on /tmp/tmpJiEBoP/sel_KLE159+1.p_1 with time limit 29
% -prover status Theorem
% Problem KLE159+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE159+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE159+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
%
%------------------------------------------------------------------------------