TSTP Solution File: KLE041+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE041+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 12:03:34 EST 2010
% Result : Theorem 1.98s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 13
% Syntax : Number of formulae : 126 ( 103 unt; 0 def)
% Number of atoms : 153 ( 81 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 22 ~; 18 |; 5 &)
% ( 1 <=>; 3 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 182 ( 7 sgn 57 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',multiplicative_left_identity) ).
fof(2,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',left_distributivity) ).
fof(3,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',additive_commutativity) ).
fof(4,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',additive_idempotence) ).
fof(5,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X2),X3),X1)
=> leq(multiplication(X3,star(X2)),X1) ),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',star_induction_right) ).
fof(6,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',order) ).
fof(7,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',additive_associativity) ).
fof(8,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',multiplicative_right_identity) ).
fof(9,axiom,
! [X1] : leq(addition(one,multiplication(X1,star(X1))),star(X1)),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',star_unfold_right) ).
fof(10,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',right_distributivity) ).
fof(12,axiom,
! [X1] : leq(addition(one,multiplication(star(X1),X1)),star(X1)),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',star_unfold_left) ).
fof(13,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',multiplicative_associativity) ).
fof(14,conjecture,
! [X4,X5] :
( leq(X4,X5)
=> leq(star(X4),star(X5)) ),
file('/tmp/tmpcEuLQ5/sel_KLE041+1.p_1',goals) ).
fof(15,negated_conjecture,
~ ! [X4,X5] :
( leq(X4,X5)
=> leq(star(X4),star(X5)) ),
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,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[2]) ).
cnf(19,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[3]) ).
cnf(21,plain,
addition(X1,X2) = addition(X2,X1),
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(X1,X2),X3),X1)
| leq(multiplication(X3,star(X2)),X1) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(25,plain,
! [X4,X5,X6] :
( ~ leq(addition(multiplication(X4,X5),X6),X4)
| leq(multiplication(X6,star(X5)),X4) ),
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] :
( ( ~ leq(X1,X2)
| addition(X1,X2) = X2 )
& ( addition(X1,X2) != X2
| leq(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(28,plain,
! [X3,X4] :
( ( ~ leq(X3,X4)
| addition(X3,X4) = X4 )
& ( addition(X3,X4) != X4
| leq(X3,X4) ) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(30,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(31,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[7]) ).
cnf(32,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[8]) ).
cnf(34,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[33]) ).
fof(35,plain,
! [X2] : leq(addition(one,multiplication(X2,star(X2))),star(X2)),
inference(variable_rename,[status(thm)],[9]) ).
cnf(36,plain,
leq(addition(one,multiplication(X1,star(X1))),star(X1)),
inference(split_conjunct,[status(thm)],[35]) ).
fof(37,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[10]) ).
cnf(38,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[37]) ).
fof(42,plain,
! [X2] : leq(addition(one,multiplication(star(X2),X2)),star(X2)),
inference(variable_rename,[status(thm)],[12]) ).
cnf(43,plain,
leq(addition(one,multiplication(star(X1),X1)),star(X1)),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[13]) ).
cnf(45,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,negated_conjecture,
? [X4,X5] :
( leq(X4,X5)
& ~ leq(star(X4),star(X5)) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(47,negated_conjecture,
? [X6,X7] :
( leq(X6,X7)
& ~ leq(star(X6),star(X7)) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,negated_conjecture,
( leq(esk1_0,esk2_0)
& ~ leq(star(esk1_0),star(esk2_0)) ),
inference(skolemize,[status(esa)],[47]) ).
cnf(49,negated_conjecture,
~ leq(star(esk1_0),star(esk2_0)),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(50,negated_conjecture,
leq(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(55,plain,
leq(X1,X1),
inference(spm,[status(thm)],[29,23,theory(equality)]) ).
cnf(70,negated_conjecture,
addition(esk1_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[30,50,theory(equality)]) ).
cnf(71,plain,
addition(addition(one,multiplication(X1,star(X1))),star(X1)) = star(X1),
inference(spm,[status(thm)],[30,36,theory(equality)]) ).
cnf(72,plain,
addition(addition(one,multiplication(star(X1),X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[30,43,theory(equality)]) ).
cnf(73,plain,
addition(star(X1),addition(one,multiplication(X1,star(X1)))) = star(X1),
inference(rw,[status(thm)],[71,21,theory(equality)]) ).
cnf(74,plain,
addition(star(X1),addition(one,multiplication(star(X1),X1))) = star(X1),
inference(rw,[status(thm)],[72,21,theory(equality)]) ).
cnf(76,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[32,23,theory(equality)]) ).
cnf(80,plain,
addition(addition(X2,X1),X3) = addition(X1,addition(X2,X3)),
inference(spm,[status(thm)],[32,21,theory(equality)]) ).
cnf(85,plain,
addition(X2,addition(X1,X3)) = addition(X1,addition(X2,X3)),
inference(rw,[status(thm)],[80,32,theory(equality)]) ).
cnf(89,plain,
( leq(multiplication(multiplication(X1,X2),star(X2)),X1)
| ~ leq(multiplication(X1,X2),X1) ),
inference(spm,[status(thm)],[26,23,theory(equality)]) ).
cnf(91,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(X1,multiplication(X3,X2)),X3) ),
inference(spm,[status(thm)],[26,21,theory(equality)]) ).
cnf(93,plain,
( leq(multiplication(X1,multiplication(X2,star(X2))),X1)
| ~ leq(multiplication(X1,X2),X1) ),
inference(rw,[status(thm)],[89,45,theory(equality)]) ).
cnf(100,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[38,34,theory(equality)]) ).
cnf(110,plain,
( leq(multiplication(X1,X2),multiplication(X1,X3))
| multiplication(X1,addition(X2,X3)) != multiplication(X1,X3) ),
inference(spm,[status(thm)],[29,38,theory(equality)]) ).
cnf(111,plain,
( leq(multiplication(multiplication(X1,X2),star(X3)),X1)
| ~ leq(multiplication(X1,addition(X3,X2)),X1) ),
inference(spm,[status(thm)],[26,38,theory(equality)]) ).
cnf(125,plain,
( leq(multiplication(X1,multiplication(X2,star(X3))),X1)
| ~ leq(multiplication(X1,addition(X3,X2)),X1) ),
inference(rw,[status(thm)],[111,45,theory(equality)]) ).
cnf(128,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[19,17,theory(equality)]) ).
cnf(133,plain,
addition(multiplication(addition(X1,X3),X2),X4) = addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)),
inference(spm,[status(thm)],[32,19,theory(equality)]) ).
cnf(160,negated_conjecture,
addition(esk2_0,X1) = addition(esk1_0,addition(esk2_0,X1)),
inference(spm,[status(thm)],[32,70,theory(equality)]) ).
cnf(336,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[76,21,theory(equality)]) ).
cnf(338,plain,
leq(X1,addition(X1,X2)),
inference(spm,[status(thm)],[29,76,theory(equality)]) ).
cnf(602,plain,
addition(multiplication(X1,addition(one,X2)),X3) = addition(X1,addition(multiplication(X1,X2),X3)),
inference(spm,[status(thm)],[32,100,theory(equality)]) ).
cnf(611,plain,
leq(X1,multiplication(X1,addition(one,X2))),
inference(spm,[status(thm)],[338,100,theory(equality)]) ).
cnf(642,plain,
addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(one,multiplication(X2,X3)),X1),
inference(spm,[status(thm)],[128,45,theory(equality)]) ).
cnf(643,plain,
addition(multiplication(addition(one,X2),X1),X3) = addition(X1,addition(multiplication(X2,X1),X3)),
inference(spm,[status(thm)],[32,128,theory(equality)]) ).
cnf(645,plain,
multiplication(addition(one,X1),multiplication(X1,X2)) = multiplication(X1,addition(X2,multiplication(X1,X2))),
inference(spm,[status(thm)],[38,128,theory(equality)]) ).
cnf(652,plain,
leq(X1,multiplication(addition(one,X2),X1)),
inference(spm,[status(thm)],[338,128,theory(equality)]) ).
cnf(655,plain,
multiplication(addition(one,X1),X1) = multiplication(X1,addition(one,X1)),
inference(spm,[status(thm)],[100,128,theory(equality)]) ).
cnf(669,plain,
multiplication(addition(one,X1),multiplication(X1,X2)) = multiplication(X1,multiplication(addition(one,X1),X2)),
inference(rw,[status(thm)],[645,128,theory(equality)]) ).
cnf(1882,plain,
addition(one,multiplication(addition(one,X1),star(X1))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[73,85,theory(equality)]),128,theory(equality)]) ).
cnf(1885,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[76,1882,theory(equality)]) ).
cnf(1895,plain,
leq(X1,multiplication(X1,star(X2))),
inference(spm,[status(thm)],[611,1882,theory(equality)]) ).
cnf(1896,plain,
leq(X1,multiplication(star(X2),X1)),
inference(spm,[status(thm)],[652,1882,theory(equality)]) ).
cnf(1897,plain,
addition(multiplication(addition(one,X1),star(X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[336,1882,theory(equality)]) ).
cnf(1930,plain,
multiplication(addition(one,X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1897,21,theory(equality)]),128,theory(equality)]),76,theory(equality)]) ).
cnf(1938,plain,
addition(one,multiplication(star(X1),addition(one,X1))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[74,85,theory(equality)]),100,theory(equality)]) ).
cnf(1953,plain,
addition(multiplication(star(X1),addition(one,X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[336,1938,theory(equality)]) ).
cnf(1988,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1953,21,theory(equality)]),100,theory(equality)]),76,theory(equality)]) ).
cnf(2330,plain,
multiplication(star(X1),star(star(X1))) = star(star(X1)),
inference(spm,[status(thm)],[1930,1885,theory(equality)]) ).
cnf(2331,plain,
leq(addition(one,X1),star(X1)),
inference(spm,[status(thm)],[1895,1930,theory(equality)]) ).
cnf(2368,plain,
leq(addition(X1,one),star(X1)),
inference(spm,[status(thm)],[2331,21,theory(equality)]) ).
cnf(2388,plain,
addition(addition(X1,one),star(X1)) = star(X1),
inference(spm,[status(thm)],[30,2368,theory(equality)]) ).
cnf(2393,plain,
addition(X1,star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2388,32,theory(equality)]),1885,theory(equality)]) ).
cnf(2397,negated_conjecture,
addition(esk1_0,star(esk2_0)) = star(esk2_0),
inference(spm,[status(thm)],[160,2393,theory(equality)]) ).
cnf(2794,plain,
multiplication(star(star(X1)),star(X1)) = star(star(X1)),
inference(spm,[status(thm)],[1988,1885,theory(equality)]) ).
cnf(2798,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(spm,[status(thm)],[1988,21,theory(equality)]) ).
cnf(3603,plain,
( leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1))
| ~ leq(star(X1),star(X1)) ),
inference(spm,[status(thm)],[125,2798,theory(equality)]) ).
cnf(3628,plain,
( leq(multiplication(star(X1),star(X1)),star(X1))
| ~ leq(star(X1),star(X1)) ),
inference(rw,[status(thm)],[3603,17,theory(equality)]) ).
cnf(3629,plain,
( leq(multiplication(star(X1),star(X1)),star(X1))
| $false ),
inference(rw,[status(thm)],[3628,55,theory(equality)]) ).
cnf(3630,plain,
leq(multiplication(star(X1),star(X1)),star(X1)),
inference(cn,[status(thm)],[3629,theory(equality)]) ).
cnf(4518,negated_conjecture,
leq(multiplication(X1,esk1_0),multiplication(X1,star(esk2_0))),
inference(spm,[status(thm)],[110,2397,theory(equality)]) ).
cnf(4902,negated_conjecture,
leq(multiplication(star(star(esk2_0)),esk1_0),star(star(esk2_0))),
inference(spm,[status(thm)],[4518,2794,theory(equality)]) ).
cnf(4916,negated_conjecture,
addition(multiplication(star(star(esk2_0)),esk1_0),star(star(esk2_0))) = star(star(esk2_0)),
inference(spm,[status(thm)],[30,4902,theory(equality)]) ).
cnf(4918,negated_conjecture,
multiplication(star(star(esk2_0)),addition(one,esk1_0)) = star(star(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4916,21,theory(equality)]),100,theory(equality)]) ).
cnf(13556,plain,
addition(multiplication(star(X1),star(X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[30,3630,theory(equality)]) ).
cnf(13557,plain,
leq(multiplication(star(X1),multiplication(star(X1),star(star(X1)))),star(X1)),
inference(spm,[status(thm)],[93,3630,theory(equality)]) ).
cnf(13560,plain,
multiplication(star(X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13556,21,theory(equality)]),100,theory(equality)]),1885,theory(equality)]) ).
cnf(13561,plain,
leq(star(star(X1)),star(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13557,2330,theory(equality)]),2330,theory(equality)]) ).
cnf(13563,plain,
addition(star(star(X1)),star(X1)) = star(X1),
inference(spm,[status(thm)],[30,13561,theory(equality)]) ).
cnf(13566,plain,
star(star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13563,21,theory(equality)]),2393,theory(equality)]) ).
cnf(13740,negated_conjecture,
multiplication(star(esk2_0),addition(one,esk1_0)) = star(star(esk2_0)),
inference(rw,[status(thm)],[4918,13566,theory(equality)]) ).
cnf(13741,negated_conjecture,
multiplication(star(esk2_0),addition(one,esk1_0)) = star(esk2_0),
inference(rw,[status(thm)],[13740,13566,theory(equality)]) ).
cnf(13929,negated_conjecture,
multiplication(star(esk2_0),X1) = multiplication(star(esk2_0),multiplication(addition(one,esk1_0),X1)),
inference(spm,[status(thm)],[45,13741,theory(equality)]) ).
cnf(26278,negated_conjecture,
multiplication(star(esk2_0),multiplication(esk1_0,addition(one,esk1_0))) = multiplication(star(esk2_0),esk1_0),
inference(spm,[status(thm)],[13929,655,theory(equality)]) ).
cnf(27353,negated_conjecture,
addition(multiplication(addition(one,star(esk2_0)),multiplication(esk1_0,addition(one,esk1_0))),X1) = addition(multiplication(esk1_0,addition(one,esk1_0)),addition(multiplication(star(esk2_0),esk1_0),X1)),
inference(spm,[status(thm)],[643,26278,theory(equality)]) ).
cnf(27392,negated_conjecture,
addition(multiplication(star(esk2_0),esk1_0),X1) = addition(multiplication(esk1_0,addition(one,esk1_0)),addition(multiplication(star(esk2_0),esk1_0),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[27353,1885,theory(equality)]),26278,theory(equality)]) ).
cnf(27393,negated_conjecture,
addition(multiplication(star(esk2_0),esk1_0),X1) = addition(esk1_0,addition(multiplication(star(esk2_0),esk1_0),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[27392,602,theory(equality)]),133,theory(equality)]),2397,theory(equality)]) ).
cnf(44027,negated_conjecture,
leq(esk1_0,addition(multiplication(star(esk2_0),esk1_0),X1)),
inference(spm,[status(thm)],[338,27393,theory(equality)]) ).
cnf(44690,negated_conjecture,
leq(esk1_0,multiplication(addition(one,X1),multiplication(star(esk2_0),esk1_0))),
inference(spm,[status(thm)],[44027,128,theory(equality)]) ).
cnf(56771,negated_conjecture,
leq(esk1_0,multiplication(star(esk2_0),multiplication(addition(one,star(esk2_0)),esk1_0))),
inference(spm,[status(thm)],[44690,669,theory(equality)]) ).
cnf(56808,negated_conjecture,
leq(esk1_0,multiplication(star(esk2_0),multiplication(star(esk2_0),esk1_0))),
inference(rw,[status(thm)],[56771,1885,theory(equality)]) ).
cnf(56823,negated_conjecture,
addition(esk1_0,multiplication(star(esk2_0),multiplication(star(esk2_0),esk1_0))) = multiplication(star(esk2_0),multiplication(star(esk2_0),esk1_0)),
inference(spm,[status(thm)],[30,56808,theory(equality)]) ).
cnf(56824,negated_conjecture,
multiplication(star(esk2_0),esk1_0) = multiplication(star(esk2_0),multiplication(star(esk2_0),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[56823,642,theory(equality)]),13560,theory(equality)]),1885,theory(equality)]) ).
cnf(56830,negated_conjecture,
addition(star(esk2_0),multiplication(star(esk2_0),esk1_0)) = multiplication(star(esk2_0),addition(one,multiplication(star(esk2_0),esk1_0))),
inference(spm,[status(thm)],[100,56824,theory(equality)]) ).
cnf(56891,negated_conjecture,
star(esk2_0) = multiplication(star(esk2_0),addition(one,multiplication(star(esk2_0),esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[56830,100,theory(equality)]),13741,theory(equality)]) ).
cnf(56963,negated_conjecture,
leq(addition(one,multiplication(star(esk2_0),esk1_0)),star(esk2_0)),
inference(spm,[status(thm)],[1896,56891,theory(equality)]) ).
cnf(57423,negated_conjecture,
leq(multiplication(one,star(esk1_0)),star(esk2_0)),
inference(spm,[status(thm)],[91,56963,theory(equality)]) ).
cnf(57425,negated_conjecture,
leq(star(esk1_0),star(esk2_0)),
inference(rw,[status(thm)],[57423,17,theory(equality)]) ).
cnf(57426,negated_conjecture,
$false,
inference(sr,[status(thm)],[57425,49,theory(equality)]) ).
cnf(57427,negated_conjecture,
$false,
57426,
[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/KLE041+1.p
% --creating new selector for [KLE002+0.ax]
% -running prover on /tmp/tmpcEuLQ5/sel_KLE041+1.p_1 with time limit 29
% -prover status Theorem
% Problem KLE041+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE041+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE041+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
%
%------------------------------------------------------------------------------