TSTP Solution File: KLE027+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE027+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 11:50:39 EST 2010
% Result : Theorem 0.57s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 83 ( 46 unt; 0 def)
% Number of atoms : 168 ( 101 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 151 ( 66 ~; 53 |; 26 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 128 ( 4 sgn 68 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',multiplicative_left_identity) ).
fof(3,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',additive_identity) ).
fof(4,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',left_distributivity) ).
fof(5,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',additive_associativity) ).
fof(6,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',additive_commutativity) ).
fof(7,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',additive_idempotence) ).
fof(8,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',multiplicative_associativity) ).
fof(9,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',left_annihilation) ).
fof(11,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',test_3) ).
fof(12,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',test_2) ).
fof(15,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',right_distributivity) ).
fof(16,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',order) ).
fof(17,conjecture,
! [X4,X5,X6,X7,X8] :
( ( test(X7)
& test(X8) )
=> ( leq(addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6)),addition(multiplication(X7,X4),multiplication(c(X7),X6)))
& leq(addition(multiplication(X7,X4),multiplication(c(X7),X6)),addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6))) ) ),
file('/tmp/tmpuH3eba/sel_KLE027+2.p_1',goals) ).
fof(18,negated_conjecture,
~ ! [X4,X5,X6,X7,X8] :
( ( test(X7)
& test(X8) )
=> ( leq(addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6)),addition(multiplication(X7,X4),multiplication(c(X7),X6)))
& leq(addition(multiplication(X7,X4),multiplication(c(X7),X6)),addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6))) ) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(22,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[2]) ).
cnf(23,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[3]) ).
cnf(25,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(27,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[5]) ).
cnf(29,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[6]) ).
cnf(31,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[7]) ).
cnf(33,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[8]) ).
cnf(35,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[9]) ).
cnf(37,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[36]) ).
fof(41,plain,
! [X4,X5] :
( ~ test(X4)
| ( ( c(X4) != X5
| complement(X4,X5) )
& ( ~ complement(X4,X5)
| c(X4) = X5 ) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(42,plain,
! [X6,X7] :
( ~ test(X6)
| ( ( c(X6) != X7
| complement(X6,X7) )
& ( ~ complement(X6,X7)
| c(X6) = X7 ) ) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(43,plain,
! [X6,X7] :
( ( c(X6) != X7
| complement(X6,X7)
| ~ test(X6) )
& ( ~ complement(X6,X7)
| c(X6) = X7
| ~ test(X6) ) ),
inference(distribute,[status(thm)],[42]) ).
cnf(45,plain,
( complement(X1,X2)
| ~ test(X1)
| c(X1) != X2 ),
inference(split_conjunct,[status(thm)],[43]) ).
fof(46,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)],[12]) ).
fof(47,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)],[46]) ).
fof(48,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)],[47]) ).
cnf(50,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(51,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(52,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(61,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[15]) ).
cnf(62,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[61]) ).
fof(63,plain,
! [X1,X2] :
( ( ~ leq(X1,X2)
| addition(X1,X2) = X2 )
& ( addition(X1,X2) != X2
| leq(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(64,plain,
! [X3,X4] :
( ( ~ leq(X3,X4)
| addition(X3,X4) = X4 )
& ( addition(X3,X4) != X4
| leq(X3,X4) ) ),
inference(variable_rename,[status(thm)],[63]) ).
cnf(65,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[64]) ).
fof(67,negated_conjecture,
? [X4,X5,X6,X7,X8] :
( test(X7)
& test(X8)
& ( ~ leq(addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6)),addition(multiplication(X7,X4),multiplication(c(X7),X6)))
| ~ leq(addition(multiplication(X7,X4),multiplication(c(X7),X6)),addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6))) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(68,negated_conjecture,
? [X9,X10,X11,X12,X13] :
( test(X12)
& test(X13)
& ( ~ leq(addition(multiplication(X12,addition(multiplication(X12,X9),multiplication(c(X12),X10))),multiplication(c(X12),X11)),addition(multiplication(X12,X9),multiplication(c(X12),X11)))
| ~ leq(addition(multiplication(X12,X9),multiplication(c(X12),X11)),addition(multiplication(X12,addition(multiplication(X12,X9),multiplication(c(X12),X10))),multiplication(c(X12),X11))) ) ),
inference(variable_rename,[status(thm)],[67]) ).
fof(69,negated_conjecture,
( test(esk5_0)
& test(esk6_0)
& ( ~ leq(addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)),addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)))
| ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0))) ) ),
inference(skolemize,[status(esa)],[68]) ).
cnf(70,negated_conjecture,
( ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)))
| ~ leq(addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)),addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))) ),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(72,negated_conjecture,
test(esk5_0),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(84,negated_conjecture,
( complement(esk5_0,X1)
| c(esk5_0) != X1 ),
inference(spm,[status(thm)],[45,72,theory(equality)]) ).
cnf(106,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[29,33,theory(equality)]) ).
cnf(110,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[31,29,theory(equality)]) ).
cnf(130,plain,
addition(multiplication(X1,addition(X2,X3)),X4) = addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)),
inference(spm,[status(thm)],[29,62,theory(equality)]) ).
cnf(187,negated_conjecture,
( ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))
| ~ leq(addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)),addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))) ),
inference(rw,[status(thm)],[70,31,theory(equality)]) ).
cnf(188,negated_conjecture,
( ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))
| ~ leq(addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))),addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))) ),
inference(rw,[status(thm)],[187,31,theory(equality)]) ).
cnf(189,negated_conjecture,
( ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))
| addition(addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))),addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)) ),
inference(spm,[status(thm)],[188,65,theory(equality)]) ).
cnf(190,negated_conjecture,
( ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))
| addition(multiplication(c(esk5_0),esk4_0),addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[189,29,theory(equality)]),31,theory(equality)]),29,theory(equality)]) ).
cnf(198,negated_conjecture,
( addition(multiplication(c(esk5_0),esk4_0),addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))
| addition(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))) ),
inference(spm,[status(thm)],[190,65,theory(equality)]) ).
cnf(199,negated_conjecture,
( addition(multiplication(c(esk5_0),esk4_0),addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))
| addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))) != addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))) ),
inference(rw,[status(thm)],[198,29,theory(equality)]) ).
cnf(201,negated_conjecture,
( multiplication(X1,esk5_0) = zero
| c(esk5_0) != X1 ),
inference(spm,[status(thm)],[52,84,theory(equality)]) ).
cnf(202,negated_conjecture,
( multiplication(esk5_0,X1) = zero
| c(esk5_0) != X1 ),
inference(spm,[status(thm)],[51,84,theory(equality)]) ).
cnf(203,negated_conjecture,
( addition(X1,esk5_0) = one
| c(esk5_0) != X1 ),
inference(spm,[status(thm)],[50,84,theory(equality)]) ).
cnf(208,negated_conjecture,
multiplication(c(esk5_0),esk5_0) = zero,
inference(er,[status(thm)],[201,theory(equality)]) ).
cnf(213,negated_conjecture,
addition(multiplication(X1,esk5_0),zero) = multiplication(addition(X1,c(esk5_0)),esk5_0),
inference(spm,[status(thm)],[27,208,theory(equality)]) ).
cnf(218,negated_conjecture,
multiplication(X1,esk5_0) = multiplication(addition(X1,c(esk5_0)),esk5_0),
inference(rw,[status(thm)],[213,25,theory(equality)]) ).
cnf(307,negated_conjecture,
( addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))
| addition(multiplication(c(esk5_0),esk4_0),addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)) ),
inference(rw,[status(thm)],[199,106,theory(equality)]) ).
cnf(531,negated_conjecture,
multiplication(esk5_0,c(esk5_0)) = zero,
inference(er,[status(thm)],[202,theory(equality)]) ).
cnf(534,negated_conjecture,
multiplication(zero,X1) = multiplication(esk5_0,multiplication(c(esk5_0),X1)),
inference(spm,[status(thm)],[35,531,theory(equality)]) ).
cnf(541,negated_conjecture,
zero = multiplication(esk5_0,multiplication(c(esk5_0),X1)),
inference(rw,[status(thm)],[534,37,theory(equality)]) ).
cnf(559,negated_conjecture,
addition(c(esk5_0),esk5_0) = one,
inference(er,[status(thm)],[203,theory(equality)]) ).
cnf(561,negated_conjecture,
addition(esk5_0,c(esk5_0)) = one,
inference(rw,[status(thm)],[559,31,theory(equality)]) ).
cnf(602,negated_conjecture,
addition(multiplication(esk5_0,X1),zero) = multiplication(esk5_0,addition(X1,multiplication(c(esk5_0),X2))),
inference(spm,[status(thm)],[62,541,theory(equality)]) ).
cnf(615,negated_conjecture,
multiplication(esk5_0,X1) = multiplication(esk5_0,addition(X1,multiplication(c(esk5_0),X2))),
inference(rw,[status(thm)],[602,25,theory(equality)]) ).
cnf(684,negated_conjecture,
( addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))
| addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[307,110,theory(equality)]),29,theory(equality)]),31,theory(equality)]),106,theory(equality)]) ).
cnf(976,negated_conjecture,
multiplication(one,esk5_0) = multiplication(esk5_0,esk5_0),
inference(spm,[status(thm)],[218,561,theory(equality)]) ).
cnf(987,negated_conjecture,
esk5_0 = multiplication(esk5_0,esk5_0),
inference(rw,[status(thm)],[976,23,theory(equality)]) ).
cnf(992,negated_conjecture,
multiplication(esk5_0,X1) = multiplication(esk5_0,multiplication(esk5_0,X1)),
inference(spm,[status(thm)],[35,987,theory(equality)]) ).
cnf(11811,negated_conjecture,
( addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)) != addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))
| addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[684,615,theory(equality)]),992,theory(equality)]),31,theory(equality)]),130,theory(equality)]),33,theory(equality)]) ).
cnf(11812,negated_conjecture,
( $false
| addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11811,615,theory(equality)]),992,theory(equality)]),31,theory(equality)]) ).
cnf(11813,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11812,615,theory(equality)]),992,theory(equality)]),31,theory(equality)]),130,theory(equality)]),33,theory(equality)]) ).
cnf(11814,negated_conjecture,
$false,
inference(cn,[status(thm)],[11813,theory(equality)]) ).
cnf(11815,negated_conjecture,
$false,
11814,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE027+2.p
% --creating new selector for [KLE001+0.ax, KLE001+1.ax]
% -running prover on /tmp/tmpuH3eba/sel_KLE027+2.p_1 with time limit 29
% -prover status Theorem
% Problem KLE027+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE027+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE027+2.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
%
%------------------------------------------------------------------------------