TSTP Solution File: KLE012+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE012+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 11:45:18 EST 2010
% Result : Theorem 3.27s
% Output : CNFRefutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 144 ( 126 unt; 0 def)
% Number of atoms : 197 ( 149 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 84 ( 31 ~; 26 |; 23 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 178 ( 6 sgn 61 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',right_annihilation) ).
fof(2,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',multiplicative_left_identity) ).
fof(3,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',additive_identity) ).
fof(4,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',left_distributivity) ).
fof(5,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',additive_commutativity) ).
fof(6,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',additive_idempotence) ).
fof(7,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',multiplicative_associativity) ).
fof(8,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',left_annihilation) ).
fof(9,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',additive_associativity) ).
fof(10,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',test_2) ).
fof(11,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',test_1) ).
fof(12,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',multiplicative_right_identity) ).
fof(13,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',right_distributivity) ).
fof(14,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> multiplication(X4,X5) = multiplication(X5,X4) ),
file('/tmp/tmpBZIC9n/sel_KLE012+1.p_1',goals) ).
fof(15,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> multiplication(X4,X5) = multiplication(X5,X4) ),
inference(assume_negation,[status(cth)],[14]) ).
fof(16,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[1]) ).
cnf(17,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[16]) ).
fof(18,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[2]) ).
cnf(19,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[3]) ).
cnf(21,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[20]) ).
fof(22,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(23,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[5]) ).
cnf(25,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[6]) ).
cnf(27,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[7]) ).
cnf(29,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[8]) ).
cnf(31,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[9]) ).
cnf(33,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X4,X5] :
( ( ~ complement(X5,X4)
| ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) )
& ( multiplication(X4,X5) != zero
| multiplication(X5,X4) != zero
| addition(X4,X5) != one
| complement(X5,X4) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(35,plain,
! [X6,X7] :
( ( ~ complement(X7,X6)
| ( multiplication(X6,X7) = zero
& multiplication(X7,X6) = zero
& addition(X6,X7) = one ) )
& ( multiplication(X6,X7) != zero
| multiplication(X7,X6) != zero
| addition(X6,X7) != one
| complement(X7,X6) ) ),
inference(variable_rename,[status(thm)],[34]) ).
fof(36,plain,
! [X6,X7] :
( ( multiplication(X6,X7) = zero
| ~ complement(X7,X6) )
& ( multiplication(X7,X6) = zero
| ~ complement(X7,X6) )
& ( addition(X6,X7) = one
| ~ complement(X7,X6) )
& ( multiplication(X6,X7) != zero
| multiplication(X7,X6) != zero
| addition(X6,X7) != one
| complement(X7,X6) ) ),
inference(distribute,[status(thm)],[35]) ).
cnf(38,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(39,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(40,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[36]) ).
fof(41,plain,
! [X4] :
( ( ~ test(X4)
| ? [X5] : complement(X5,X4) )
& ( ! [X5] : ~ complement(X5,X4)
| test(X4) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(42,plain,
! [X6] :
( ( ~ test(X6)
| ? [X7] : complement(X7,X6) )
& ( ! [X8] : ~ complement(X8,X6)
| test(X6) ) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(43,plain,
! [X6] :
( ( ~ test(X6)
| complement(esk1_1(X6),X6) )
& ( ! [X8] : ~ complement(X8,X6)
| test(X6) ) ),
inference(skolemize,[status(esa)],[42]) ).
fof(44,plain,
! [X6,X8] :
( ( ~ complement(X8,X6)
| test(X6) )
& ( ~ test(X6)
| complement(esk1_1(X6),X6) ) ),
inference(shift_quantors,[status(thm)],[43]) ).
cnf(45,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(47,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[12]) ).
cnf(48,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[47]) ).
fof(49,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[13]) ).
cnf(50,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[49]) ).
fof(51,negated_conjecture,
? [X4,X5] :
( test(X5)
& test(X4)
& multiplication(X4,X5) != multiplication(X5,X4) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(52,negated_conjecture,
? [X6,X7] :
( test(X7)
& test(X6)
& multiplication(X6,X7) != multiplication(X7,X6) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,negated_conjecture,
( test(esk3_0)
& test(esk2_0)
& multiplication(esk2_0,esk3_0) != multiplication(esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[52]) ).
cnf(54,negated_conjecture,
multiplication(esk2_0,esk3_0) != multiplication(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(55,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(56,negated_conjecture,
test(esk3_0),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(57,negated_conjecture,
complement(esk1_1(esk2_0),esk2_0),
inference(spm,[status(thm)],[45,55,theory(equality)]) ).
cnf(58,negated_conjecture,
complement(esk1_1(esk3_0),esk3_0),
inference(spm,[status(thm)],[45,56,theory(equality)]) ).
cnf(72,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[21,25,theory(equality)]) ).
cnf(99,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[33,27,theory(equality)]) ).
cnf(101,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[25,33,theory(equality)]) ).
cnf(103,plain,
addition(addition(X2,X1),X3) = addition(X1,addition(X2,X3)),
inference(spm,[status(thm)],[33,25,theory(equality)]) ).
cnf(108,plain,
addition(X2,addition(X1,X3)) = addition(X1,addition(X2,X3)),
inference(rw,[status(thm)],[103,33,theory(equality)]) ).
cnf(114,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[50,48,theory(equality)]) ).
cnf(148,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[23,19,theory(equality)]) ).
cnf(152,plain,
addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2))) = multiplication(addition(X1,multiplication(X3,X4)),X2),
inference(spm,[status(thm)],[23,29,theory(equality)]) ).
cnf(174,negated_conjecture,
multiplication(esk2_0,esk1_1(esk2_0)) = zero,
inference(spm,[status(thm)],[40,57,theory(equality)]) ).
cnf(176,negated_conjecture,
addition(esk2_0,esk1_1(esk2_0)) = one,
inference(spm,[status(thm)],[38,57,theory(equality)]) ).
cnf(179,negated_conjecture,
multiplication(esk3_0,esk1_1(esk3_0)) = zero,
inference(spm,[status(thm)],[40,58,theory(equality)]) ).
cnf(180,negated_conjecture,
multiplication(esk1_1(esk3_0),esk3_0) = zero,
inference(spm,[status(thm)],[39,58,theory(equality)]) ).
cnf(181,negated_conjecture,
addition(esk3_0,esk1_1(esk3_0)) = one,
inference(spm,[status(thm)],[38,58,theory(equality)]) ).
cnf(210,negated_conjecture,
addition(multiplication(esk2_0,X1),zero) = multiplication(esk2_0,addition(X1,esk1_1(esk2_0))),
inference(spm,[status(thm)],[50,174,theory(equality)]) ).
cnf(211,negated_conjecture,
addition(zero,multiplication(X1,esk1_1(esk2_0))) = multiplication(addition(esk2_0,X1),esk1_1(esk2_0)),
inference(spm,[status(thm)],[23,174,theory(equality)]) ).
cnf(216,negated_conjecture,
multiplication(esk2_0,X1) = multiplication(esk2_0,addition(X1,esk1_1(esk2_0))),
inference(rw,[status(thm)],[210,21,theory(equality)]) ).
cnf(217,negated_conjecture,
multiplication(X1,esk1_1(esk2_0)) = multiplication(addition(esk2_0,X1),esk1_1(esk2_0)),
inference(rw,[status(thm)],[211,72,theory(equality)]) ).
cnf(234,negated_conjecture,
multiplication(zero,X1) = multiplication(esk3_0,multiplication(esk1_1(esk3_0),X1)),
inference(spm,[status(thm)],[29,179,theory(equality)]) ).
cnf(236,negated_conjecture,
addition(multiplication(esk3_0,X1),zero) = multiplication(esk3_0,addition(X1,esk1_1(esk3_0))),
inference(spm,[status(thm)],[50,179,theory(equality)]) ).
cnf(237,negated_conjecture,
addition(zero,multiplication(X1,esk1_1(esk3_0))) = multiplication(addition(esk3_0,X1),esk1_1(esk3_0)),
inference(spm,[status(thm)],[23,179,theory(equality)]) ).
cnf(240,negated_conjecture,
zero = multiplication(esk3_0,multiplication(esk1_1(esk3_0),X1)),
inference(rw,[status(thm)],[234,31,theory(equality)]) ).
cnf(242,negated_conjecture,
multiplication(esk3_0,X1) = multiplication(esk3_0,addition(X1,esk1_1(esk3_0))),
inference(rw,[status(thm)],[236,21,theory(equality)]) ).
cnf(243,negated_conjecture,
multiplication(X1,esk1_1(esk3_0)) = multiplication(addition(esk3_0,X1),esk1_1(esk3_0)),
inference(rw,[status(thm)],[237,72,theory(equality)]) ).
cnf(249,negated_conjecture,
addition(multiplication(X1,esk3_0),zero) = multiplication(addition(X1,esk1_1(esk3_0)),esk3_0),
inference(spm,[status(thm)],[23,180,theory(equality)]) ).
cnf(255,negated_conjecture,
multiplication(X1,esk3_0) = multiplication(addition(X1,esk1_1(esk3_0)),esk3_0),
inference(rw,[status(thm)],[249,21,theory(equality)]) ).
cnf(305,negated_conjecture,
addition(esk2_0,one) = one,
inference(spm,[status(thm)],[99,176,theory(equality)]) ).
cnf(306,negated_conjecture,
addition(esk3_0,one) = one,
inference(spm,[status(thm)],[99,181,theory(equality)]) ).
cnf(308,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[99,25,theory(equality)]) ).
cnf(322,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[305,25,theory(equality)]) ).
cnf(323,negated_conjecture,
addition(one,esk3_0) = one,
inference(rw,[status(thm)],[306,25,theory(equality)]) ).
cnf(372,negated_conjecture,
addition(one,X1) = addition(one,addition(esk2_0,X1)),
inference(spm,[status(thm)],[33,322,theory(equality)]) ).
cnf(468,negated_conjecture,
addition(one,one) = addition(one,esk1_1(esk2_0)),
inference(spm,[status(thm)],[372,176,theory(equality)]) ).
cnf(483,negated_conjecture,
one = addition(one,esk1_1(esk2_0)),
inference(rw,[status(thm)],[468,27,theory(equality)]) ).
cnf(705,negated_conjecture,
addition(zero,multiplication(esk3_0,X2)) = multiplication(esk3_0,addition(multiplication(esk1_1(esk3_0),X1),X2)),
inference(spm,[status(thm)],[50,240,theory(equality)]) ).
cnf(716,negated_conjecture,
multiplication(esk3_0,X2) = multiplication(esk3_0,addition(multiplication(esk1_1(esk3_0),X1),X2)),
inference(rw,[status(thm)],[705,72,theory(equality)]) ).
cnf(808,negated_conjecture,
addition(X1,one) = addition(esk3_0,addition(X1,esk1_1(esk3_0))),
inference(spm,[status(thm)],[108,181,theory(equality)]) ).
cnf(832,negated_conjecture,
addition(X1,one) = addition(one,addition(X1,esk1_1(esk2_0))),
inference(spm,[status(thm)],[108,483,theory(equality)]) ).
cnf(1020,plain,
addition(X1,multiplication(X2,addition(one,X3))) = addition(multiplication(X2,X3),addition(X1,X2)),
inference(spm,[status(thm)],[101,114,theory(equality)]) ).
cnf(1060,plain,
addition(X1,multiplication(X2,addition(one,X3))) = addition(X2,addition(multiplication(X2,X3),X1)),
inference(rw,[status(thm)],[1020,101,theory(equality)]) ).
cnf(1194,negated_conjecture,
multiplication(esk2_0,one) = multiplication(esk2_0,esk2_0),
inference(spm,[status(thm)],[216,176,theory(equality)]) ).
cnf(1207,negated_conjecture,
esk2_0 = multiplication(esk2_0,esk2_0),
inference(rw,[status(thm)],[1194,48,theory(equality)]) ).
cnf(1213,negated_conjecture,
addition(esk2_0,multiplication(esk2_0,X1)) = multiplication(esk2_0,addition(esk2_0,X1)),
inference(spm,[status(thm)],[50,1207,theory(equality)]) ).
cnf(1220,negated_conjecture,
multiplication(esk2_0,addition(one,X1)) = multiplication(esk2_0,addition(esk2_0,X1)),
inference(rw,[status(thm)],[1213,114,theory(equality)]) ).
cnf(1551,negated_conjecture,
multiplication(esk3_0,addition(X1,addition(X2,esk1_1(esk3_0)))) = multiplication(esk3_0,addition(X1,X2)),
inference(spm,[status(thm)],[242,33,theory(equality)]) ).
cnf(1557,negated_conjecture,
multiplication(esk3_0,one) = multiplication(esk3_0,esk3_0),
inference(spm,[status(thm)],[242,181,theory(equality)]) ).
cnf(1570,negated_conjecture,
esk3_0 = multiplication(esk3_0,esk3_0),
inference(rw,[status(thm)],[1557,48,theory(equality)]) ).
cnf(1579,negated_conjecture,
addition(multiplication(X1,esk3_0),esk3_0) = multiplication(addition(X1,esk3_0),esk3_0),
inference(spm,[status(thm)],[23,1570,theory(equality)]) ).
cnf(1585,negated_conjecture,
addition(esk3_0,multiplication(X1,esk3_0)) = multiplication(addition(X1,esk3_0),esk3_0),
inference(rw,[status(thm)],[1579,25,theory(equality)]) ).
cnf(1989,negated_conjecture,
addition(multiplication(X1,esk3_0),multiplication(addition(X1,esk1_1(esk3_0)),X2)) = multiplication(addition(X1,esk1_1(esk3_0)),addition(esk3_0,X2)),
inference(spm,[status(thm)],[50,255,theory(equality)]) ).
cnf(2411,negated_conjecture,
addition(multiplication(X1,esk1_1(esk2_0)),multiplication(addition(esk2_0,X1),X2)) = multiplication(addition(esk2_0,X1),addition(esk1_1(esk2_0),X2)),
inference(spm,[status(thm)],[50,217,theory(equality)]) ).
cnf(2753,negated_conjecture,
multiplication(addition(one,X1),esk3_0) = multiplication(addition(X1,esk3_0),esk3_0),
inference(rw,[status(thm)],[1585,148,theory(equality)]) ).
cnf(2773,negated_conjecture,
multiplication(addition(X1,one),esk3_0) = multiplication(addition(X1,esk3_0),esk3_0),
inference(spm,[status(thm)],[2753,25,theory(equality)]) ).
cnf(2881,negated_conjecture,
addition(one,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[99,832,theory(equality)]) ).
cnf(3087,negated_conjecture,
addition(addition(X1,esk3_0),multiplication(addition(X1,one),esk3_0)) = multiplication(addition(X1,esk3_0),addition(one,esk3_0)),
inference(spm,[status(thm)],[114,2773,theory(equality)]) ).
cnf(3106,negated_conjecture,
addition(X1,multiplication(addition(X1,one),esk3_0)) = multiplication(addition(X1,esk3_0),addition(one,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3087,33,theory(equality)]),148,theory(equality)]),2881,theory(equality)]) ).
cnf(3107,negated_conjecture,
addition(X1,multiplication(addition(X1,one),esk3_0)) = addition(X1,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3106,323,theory(equality)]),48,theory(equality)]) ).
cnf(3130,negated_conjecture,
multiplication(addition(X1,one),esk1_1(esk3_0)) = multiplication(addition(X1,esk1_1(esk3_0)),esk1_1(esk3_0)),
inference(spm,[status(thm)],[243,808,theory(equality)]) ).
cnf(4083,negated_conjecture,
addition(multiplication(X1,esk2_0),multiplication(X2,esk2_0)) = multiplication(addition(X1,multiplication(X2,esk2_0)),esk2_0),
inference(spm,[status(thm)],[152,1207,theory(equality)]) ).
cnf(4210,negated_conjecture,
multiplication(addition(X1,X2),esk2_0) = multiplication(addition(X1,multiplication(X2,esk2_0)),esk2_0),
inference(rw,[status(thm)],[4083,23,theory(equality)]) ).
cnf(4692,plain,
addition(X2,X1) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[101,308,theory(equality)]) ).
cnf(4790,plain,
addition(X2,X1) = addition(X1,X2),
inference(rw,[status(thm)],[4692,99,theory(equality)]) ).
cnf(17677,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,esk3_0)) = multiplication(esk2_0,addition(one,multiplication(addition(esk2_0,one),esk3_0))),
inference(spm,[status(thm)],[1220,3107,theory(equality)]) ).
cnf(17779,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,esk3_0)) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17677,25,theory(equality)]),322,theory(equality)]),19,theory(equality)]),323,theory(equality)]),48,theory(equality)]) ).
cnf(17949,negated_conjecture,
multiplication(esk2_0,X1) = multiplication(esk2_0,multiplication(addition(esk2_0,esk3_0),X1)),
inference(spm,[status(thm)],[29,17779,theory(equality)]) ).
cnf(18411,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,esk1_1(esk2_0))) = multiplication(esk2_0,esk1_1(esk2_0)),
inference(spm,[status(thm)],[17949,217,theory(equality)]) ).
cnf(18453,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,esk1_1(esk2_0))) = zero,
inference(rw,[status(thm)],[18411,174,theory(equality)]) ).
cnf(22344,plain,
addition(X1,multiplication(X2,addition(one,zero))) = addition(X2,addition(zero,X1)),
inference(spm,[status(thm)],[1060,17,theory(equality)]) ).
cnf(22756,plain,
addition(X1,X2) = addition(X2,addition(zero,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22344,21,theory(equality)]),48,theory(equality)]) ).
cnf(22757,plain,
addition(X1,X2) = addition(X2,X1),
inference(rw,[status(thm)],[22756,72,theory(equality)]) ).
cnf(34216,negated_conjecture,
multiplication(esk3_0,addition(multiplication(esk1_1(esk3_0),X1),X2)) = multiplication(esk3_0,addition(X2,esk1_1(esk3_0))),
inference(spm,[status(thm)],[716,1551,theory(equality)]) ).
cnf(34305,negated_conjecture,
multiplication(esk3_0,X2) = multiplication(esk3_0,addition(X2,esk1_1(esk3_0))),
inference(rw,[status(thm)],[34216,716,theory(equality)]) ).
cnf(89602,negated_conjecture,
addition(multiplication(esk1_1(esk3_0),esk1_1(esk2_0)),multiplication(addition(esk2_0,one),esk1_1(esk3_0))) = multiplication(addition(esk2_0,esk1_1(esk3_0)),addition(esk1_1(esk2_0),esk1_1(esk3_0))),
inference(spm,[status(thm)],[2411,3130,theory(equality)]) ).
cnf(89794,negated_conjecture,
esk1_1(esk3_0) = multiplication(addition(esk2_0,esk1_1(esk3_0)),addition(esk1_1(esk2_0),esk1_1(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[89602,25,theory(equality)]),322,theory(equality)]),19,theory(equality)]),22757,theory(equality)]),114,theory(equality)]),483,theory(equality)]),48,theory(equality)]) ).
cnf(100696,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),esk1_1(esk3_0)) = multiplication(addition(esk2_0,esk1_1(esk3_0)),addition(esk3_0,addition(esk1_1(esk2_0),esk1_1(esk3_0)))),
inference(spm,[status(thm)],[1989,89794,theory(equality)]) ).
cnf(100737,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),esk1_1(esk3_0)) = addition(esk2_0,esk1_1(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[100696,808,theory(equality)]),25,theory(equality)]),483,theory(equality)]),48,theory(equality)]) ).
cnf(100778,negated_conjecture,
multiplication(esk3_0,addition(esk2_0,esk1_1(esk3_0))) = multiplication(esk3_0,multiplication(esk2_0,esk3_0)),
inference(spm,[status(thm)],[34305,100737,theory(equality)]) ).
cnf(100821,negated_conjecture,
multiplication(esk3_0,esk2_0) = multiplication(esk3_0,multiplication(esk2_0,esk3_0)),
inference(rw,[status(thm)],[100778,34305,theory(equality)]) ).
cnf(100853,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0)) = multiplication(addition(one,esk3_0),multiplication(esk2_0,esk3_0)),
inference(spm,[status(thm)],[148,100821,theory(equality)]) ).
cnf(100910,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0)) = multiplication(esk2_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[100853,323,theory(equality)]),19,theory(equality)]) ).
cnf(100974,negated_conjecture,
multiplication(multiplication(esk2_0,esk3_0),esk2_0) = multiplication(addition(multiplication(esk2_0,esk3_0),esk3_0),esk2_0),
inference(spm,[status(thm)],[4210,100910,theory(equality)]) ).
cnf(101014,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,esk2_0)) = multiplication(addition(multiplication(esk2_0,esk3_0),esk3_0),esk2_0),
inference(rw,[status(thm)],[100974,29,theory(equality)]) ).
cnf(101015,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,esk2_0)) = multiplication(esk3_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[101014,4790,theory(equality)]),148,theory(equality)]),322,theory(equality)]),19,theory(equality)]) ).
cnf(101030,negated_conjecture,
addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,X1)) = multiplication(esk2_0,addition(multiplication(esk3_0,esk2_0),X1)),
inference(spm,[status(thm)],[50,101015,theory(equality)]) ).
cnf(102612,negated_conjecture,
addition(multiplication(esk3_0,esk2_0),zero) = multiplication(esk2_0,addition(multiplication(esk3_0,esk2_0),multiplication(esk3_0,esk1_1(esk2_0)))),
inference(spm,[status(thm)],[101030,18453,theory(equality)]) ).
cnf(102704,negated_conjecture,
multiplication(esk3_0,esk2_0) = multiplication(esk2_0,addition(multiplication(esk3_0,esk2_0),multiplication(esk3_0,esk1_1(esk2_0)))),
inference(rw,[status(thm)],[102612,21,theory(equality)]) ).
cnf(102705,negated_conjecture,
multiplication(esk3_0,esk2_0) = multiplication(esk2_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[102704,50,theory(equality)]),176,theory(equality)]),48,theory(equality)]) ).
cnf(102706,negated_conjecture,
$false,
inference(sr,[status(thm)],[102705,54,theory(equality)]) ).
cnf(102707,negated_conjecture,
$false,
102706,
[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/KLE012+1.p
% --creating new selector for [KLE001+0.ax, KLE001+1.ax]
% -running prover on /tmp/tmpBZIC9n/sel_KLE012+1.p_1 with time limit 29
% -prover status Theorem
% Problem KLE012+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE012+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE012+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
%
%------------------------------------------------------------------------------