TSTP Solution File: KLE011+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE011+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 11:40:37 EST 2010
% Result : Theorem 4.35s
% Output : CNFRefutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 17
% Syntax : Number of formulae : 237 ( 77 unt; 0 def)
% Number of atoms : 525 ( 292 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 546 ( 258 ~; 250 |; 28 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 198 ( 6 sgn 79 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',right_annihilation) ).
fof(2,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',multiplicative_left_identity) ).
fof(3,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',additive_identity) ).
fof(5,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',additive_associativity) ).
fof(6,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',additive_commutativity) ).
fof(7,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',additive_idempotence) ).
fof(8,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',multiplicative_associativity) ).
fof(9,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',left_annihilation) ).
fof(10,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',test_4) ).
fof(11,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/tmp/tmph99XGz/sel_KLE011+3.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/tmph99XGz/sel_KLE011+3.p_1',test_2) ).
fof(13,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',test_1) ).
fof(14,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',multiplicative_right_identity) ).
fof(15,axiom,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',test_deMorgan1) ).
fof(16,axiom,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',test_deMorgan2) ).
fof(17,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',right_distributivity) ).
fof(18,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> one = addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))) ),
file('/tmp/tmph99XGz/sel_KLE011+3.p_1',goals) ).
fof(19,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> one = addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(20,plain,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(21,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[1]) ).
cnf(22,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[21]) ).
fof(23,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[2]) ).
cnf(24,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[23]) ).
fof(25,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[3]) ).
cnf(26,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[25]) ).
fof(29,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[5]) ).
cnf(30,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[29]) ).
fof(31,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[6]) ).
cnf(32,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[7]) ).
cnf(34,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[33]) ).
fof(35,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[8]) ).
cnf(36,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[35]) ).
fof(37,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[9]) ).
cnf(38,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,plain,
! [X4] :
( test(X4)
| c(X4) = zero ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(40,plain,
! [X5] :
( test(X5)
| c(X5) = zero ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( c(X1) = zero
| test(X1) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X4,X5] :
( ~ test(X4)
| ( ( c(X4) != X5
| complement(X4,X5) )
& ( ~ complement(X4,X5)
| c(X4) = X5 ) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(43,plain,
! [X6,X7] :
( ~ test(X6)
| ( ( c(X6) != X7
| complement(X6,X7) )
& ( ~ complement(X6,X7)
| c(X6) = X7 ) ) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,plain,
! [X6,X7] :
( ( c(X6) != X7
| complement(X6,X7)
| ~ test(X6) )
& ( ~ complement(X6,X7)
| c(X6) = X7
| ~ test(X6) ) ),
inference(distribute,[status(thm)],[43]) ).
cnf(45,plain,
( c(X1) = X2
| ~ test(X1)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(46,plain,
( complement(X1,X2)
| ~ test(X1)
| c(X1) != X2 ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(47,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(48,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)],[47]) ).
fof(49,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)],[48]) ).
cnf(50,plain,
( complement(X1,X2)
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(51,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(52,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(53,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(54,plain,
! [X4] :
( ( ~ test(X4)
| ? [X5] : complement(X5,X4) )
& ( ! [X5] : ~ complement(X5,X4)
| test(X4) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(55,plain,
! [X6] :
( ( ~ test(X6)
| ? [X7] : complement(X7,X6) )
& ( ! [X8] : ~ complement(X8,X6)
| test(X6) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,plain,
! [X6] :
( ( ~ test(X6)
| complement(esk1_1(X6),X6) )
& ( ! [X8] : ~ complement(X8,X6)
| test(X6) ) ),
inference(skolemize,[status(esa)],[55]) ).
fof(57,plain,
! [X6,X8] :
( ( ~ complement(X8,X6)
| test(X6) )
& ( ~ test(X6)
| complement(esk1_1(X6),X6) ) ),
inference(shift_quantors,[status(thm)],[56]) ).
cnf(58,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(59,plain,
( test(X1)
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[57]) ).
fof(60,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[14]) ).
cnf(61,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[60]) ).
fof(62,plain,
! [X4,X5] :
( ~ test(X4)
| ~ test(X5)
| c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(63,plain,
! [X6,X7] :
( ~ test(X6)
| ~ test(X7)
| c(addition(X6,X7)) = multiplication(c(X6),c(X7)) ),
inference(variable_rename,[status(thm)],[62]) ).
cnf(64,plain,
( c(addition(X1,X2)) = multiplication(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(65,plain,
! [X4,X5] :
( ~ test(X4)
| ~ test(X5)
| c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(66,plain,
! [X6,X7] :
( ~ test(X6)
| ~ test(X7)
| c(multiplication(X6,X7)) = addition(c(X6),c(X7)) ),
inference(variable_rename,[status(thm)],[65]) ).
cnf(67,plain,
( c(multiplication(X1,X2)) = addition(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(68,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[17]) ).
cnf(69,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[68]) ).
fof(70,negated_conjecture,
? [X4,X5] :
( test(X5)
& test(X4)
& one != addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(71,negated_conjecture,
? [X6,X7] :
( test(X7)
& test(X6)
& one != addition(addition(multiplication(addition(X7,c(X7)),X6),multiplication(addition(X6,c(X6)),X7)),multiplication(c(X6),c(X7))) ),
inference(variable_rename,[status(thm)],[70]) ).
fof(72,negated_conjecture,
( test(esk3_0)
& test(esk2_0)
& one != addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))) ),
inference(skolemize,[status(esa)],[71]) ).
cnf(73,negated_conjecture,
one != addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(74,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(75,negated_conjecture,
test(esk3_0),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(76,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[26,32,theory(equality)]) ).
cnf(83,plain,
( addition(X1,esk1_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[51,58,theory(equality)]) ).
cnf(84,plain,
( multiplication(X1,esk1_1(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[53,58,theory(equality)]) ).
cnf(86,plain,
( test(X1)
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[59,46,theory(equality)]) ).
cnf(87,plain,
( addition(X1,X2) = one
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[51,46,theory(equality)]) ).
cnf(88,plain,
( multiplication(X1,X2) = zero
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[53,46,theory(equality)]) ).
cnf(89,plain,
( multiplication(X1,X2) = zero
| c(X1) != X2
| ~ test(X1) ),
inference(spm,[status(thm)],[52,46,theory(equality)]) ).
cnf(99,plain,
( multiplication(c(addition(X1,X2)),X3) = multiplication(c(X1),multiplication(c(X2),X3))
| ~ test(X2)
| ~ test(X1) ),
inference(spm,[status(thm)],[36,64,theory(equality)]) ).
cnf(113,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[30,34,theory(equality)]) ).
cnf(115,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[32,30,theory(equality)]) ).
cnf(117,plain,
addition(addition(X2,X1),X3) = addition(X1,addition(X2,X3)),
inference(spm,[status(thm)],[30,32,theory(equality)]) ).
cnf(122,plain,
addition(X2,addition(X1,X3)) = addition(X1,addition(X2,X3)),
inference(rw,[status(thm)],[117,30,theory(equality)]) ).
cnf(124,plain,
( c(multiplication(X1,X1)) = c(X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[34,67,theory(equality)]) ).
cnf(128,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[69,61,theory(equality)]) ).
cnf(199,plain,
( c(X1) = X2
| ~ test(X1)
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| addition(X2,X1) != one ),
inference(spm,[status(thm)],[45,50,theory(equality)]) ).
cnf(200,negated_conjecture,
addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[73,32,theory(equality)]),30,theory(equality)]),32,theory(equality)]) ).
cnf(201,negated_conjecture,
( addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| ~ test(esk3_0)
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[200,64,theory(equality)]) ).
cnf(202,negated_conjecture,
( addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| $false
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[201,75,theory(equality)]) ).
cnf(203,negated_conjecture,
( addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| $false
| $false ),
inference(rw,[status(thm)],[202,74,theory(equality)]) ).
cnf(204,negated_conjecture,
addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one,
inference(cn,[status(thm)],[203,theory(equality)]) ).
cnf(212,plain,
( test(c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[86,theory(equality)]) ).
cnf(217,plain,
( addition(c(X1),c(X2)) = c(multiplication(multiplication(X1,X1),X2))
| ~ test(X2)
| ~ test(multiplication(X1,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[67,124,theory(equality)]) ).
cnf(222,plain,
( addition(c(X1),c(X2)) = c(multiplication(X1,multiplication(X1,X2)))
| ~ test(X2)
| ~ test(multiplication(X1,X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[217,36,theory(equality)]) ).
cnf(242,plain,
( addition(multiplication(X1,X2),zero) = multiplication(X1,addition(X2,esk1_1(X1)))
| ~ test(X1) ),
inference(spm,[status(thm)],[69,84,theory(equality)]) ).
cnf(248,plain,
( multiplication(X1,X2) = multiplication(X1,addition(X2,esk1_1(X1)))
| ~ test(X1) ),
inference(rw,[status(thm)],[242,26,theory(equality)]) ).
cnf(297,plain,
( addition(c(X1),X1) = one
| ~ test(X1) ),
inference(er,[status(thm)],[87,theory(equality)]) ).
cnf(300,plain,
( addition(X1,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[297,32,theory(equality)]) ).
cnf(302,plain,
( one = addition(X1,addition(X2,c(addition(X1,X2))))
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[30,300,theory(equality)]) ).
cnf(304,negated_conjecture,
( addition(multiplication(one,esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[200,300,theory(equality)]) ).
cnf(306,negated_conjecture,
( addition(multiplication(one,esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[204,300,theory(equality)]) ).
cnf(308,plain,
( one = c(multiplication(X1,c(X1)))
| ~ test(c(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[67,300,theory(equality)]) ).
cnf(309,plain,
( addition(multiplication(X1,X1),c(X1)) = one
| ~ test(multiplication(X1,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[300,124,theory(equality)]) ).
cnf(311,negated_conjecture,
( addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[304,24,theory(equality)]) ).
cnf(312,negated_conjecture,
( addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| $false ),
inference(rw,[status(thm)],[311,74,theory(equality)]) ).
cnf(313,negated_conjecture,
addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one,
inference(cn,[status(thm)],[312,theory(equality)]) ).
cnf(317,negated_conjecture,
( addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[306,24,theory(equality)]) ).
cnf(318,negated_conjecture,
( addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| $false ),
inference(rw,[status(thm)],[317,74,theory(equality)]) ).
cnf(319,negated_conjecture,
addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one,
inference(cn,[status(thm)],[318,theory(equality)]) ).
cnf(324,negated_conjecture,
( addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk2_0))) != one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[319,300,theory(equality)]) ).
cnf(325,negated_conjecture,
( addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))) != one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[324,24,theory(equality)]),32,theory(equality)]) ).
cnf(326,negated_conjecture,
( addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))) != one
| $false ),
inference(rw,[status(thm)],[325,75,theory(equality)]) ).
cnf(327,negated_conjecture,
addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))) != one,
inference(cn,[status(thm)],[326,theory(equality)]) ).
cnf(366,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[88,theory(equality)]) ).
cnf(379,negated_conjecture,
( addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(one,esk2_0))) != one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[313,300,theory(equality)]) ).
cnf(383,negated_conjecture,
( addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))) != one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[379,24,theory(equality)]),32,theory(equality)]) ).
cnf(384,negated_conjecture,
( addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))) != one
| $false ),
inference(rw,[status(thm)],[383,75,theory(equality)]) ).
cnf(385,negated_conjecture,
addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))) != one,
inference(cn,[status(thm)],[384,theory(equality)]) ).
cnf(394,plain,
( multiplication(zero,X2) = multiplication(c(X1),multiplication(X1,X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[36,366,theory(equality)]) ).
cnf(395,plain,
( addition(zero,multiplication(c(X1),X2)) = multiplication(c(X1),addition(X1,X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[69,366,theory(equality)]) ).
cnf(404,plain,
( zero = multiplication(c(X1),multiplication(X1,X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[394,38,theory(equality)]) ).
cnf(405,plain,
( multiplication(c(X1),X2) = multiplication(c(X1),addition(X1,X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[395,76,theory(equality)]) ).
cnf(413,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[89,theory(equality)]) ).
cnf(466,plain,
( multiplication(zero,X2) = multiplication(X1,multiplication(c(X1),X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[36,413,theory(equality)]) ).
cnf(478,plain,
( zero = multiplication(X1,multiplication(c(X1),X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[466,38,theory(equality)]) ).
cnf(551,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[113,83,theory(equality)]) ).
cnf(564,negated_conjecture,
addition(esk2_0,one) = one,
inference(spm,[status(thm)],[551,74,theory(equality)]) ).
cnf(565,negated_conjecture,
addition(esk3_0,one) = one,
inference(spm,[status(thm)],[551,75,theory(equality)]) ).
cnf(570,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[564,32,theory(equality)]) ).
cnf(571,negated_conjecture,
addition(one,esk3_0) = one,
inference(rw,[status(thm)],[565,32,theory(equality)]) ).
cnf(864,negated_conjecture,
addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0)))) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[385,115,theory(equality)]),32,theory(equality)]) ).
cnf(866,negated_conjecture,
addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[327,115,theory(equality)]),32,theory(equality)]) ).
cnf(867,negated_conjecture,
addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[204,115,theory(equality)]),32,theory(equality)]) ).
cnf(1559,plain,
( addition(X1,zero) = multiplication(X1,addition(one,c(X1)))
| ~ test(X1) ),
inference(spm,[status(thm)],[128,413,theory(equality)]) ).
cnf(1582,plain,
( X1 = multiplication(X1,addition(one,c(X1)))
| ~ test(X1) ),
inference(rw,[status(thm)],[1559,26,theory(equality)]) ).
cnf(1924,plain,
( multiplication(c(X1),c(X2)) = multiplication(c(addition(X1,X2)),addition(one,c(c(X2))))
| ~ test(X2)
| ~ test(X1)
| ~ test(c(X2)) ),
inference(spm,[status(thm)],[99,1582,theory(equality)]) ).
cnf(3116,plain,
( c(multiplication(X1,c(X1))) = one
| ~ test(X1) ),
inference(csr,[status(thm)],[308,212]) ).
cnf(3137,plain,
( c(zero) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[3116,413,theory(equality)]) ).
cnf(3197,negated_conjecture,
c(zero) = one,
inference(spm,[status(thm)],[3137,74,theory(equality)]) ).
cnf(4730,negated_conjecture,
( c(esk2_0) = one
| multiplication(one,esk2_0) != zero
| multiplication(esk2_0,one) != zero
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[199,570,theory(equality)]) ).
cnf(4731,negated_conjecture,
( c(esk3_0) = one
| multiplication(one,esk3_0) != zero
| multiplication(esk3_0,one) != zero
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[199,571,theory(equality)]) ).
cnf(4785,negated_conjecture,
( c(esk2_0) = one
| esk2_0 != zero
| multiplication(esk2_0,one) != zero
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[4730,24,theory(equality)]) ).
cnf(4786,negated_conjecture,
( c(esk2_0) = one
| esk2_0 != zero
| esk2_0 != zero
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[4785,61,theory(equality)]) ).
cnf(4787,negated_conjecture,
( c(esk2_0) = one
| esk2_0 != zero
| esk2_0 != zero
| $false ),
inference(rw,[status(thm)],[4786,74,theory(equality)]) ).
cnf(4788,negated_conjecture,
( c(esk2_0) = one
| esk2_0 != zero ),
inference(cn,[status(thm)],[4787,theory(equality)]) ).
cnf(4789,negated_conjecture,
( c(esk3_0) = one
| esk3_0 != zero
| multiplication(esk3_0,one) != zero
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[4731,24,theory(equality)]) ).
cnf(4790,negated_conjecture,
( c(esk3_0) = one
| esk3_0 != zero
| esk3_0 != zero
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[4789,61,theory(equality)]) ).
cnf(4791,negated_conjecture,
( c(esk3_0) = one
| esk3_0 != zero
| esk3_0 != zero
| $false ),
inference(rw,[status(thm)],[4790,75,theory(equality)]) ).
cnf(4792,negated_conjecture,
( c(esk3_0) = one
| esk3_0 != zero ),
inference(cn,[status(thm)],[4791,theory(equality)]) ).
cnf(4870,negated_conjecture,
( addition(esk2_0,addition(esk3_0,multiplication(one,c(esk3_0)))) != one
| esk2_0 != zero ),
inference(spm,[status(thm)],[864,4788,theory(equality)]) ).
cnf(4908,negated_conjecture,
( addition(esk2_0,addition(esk3_0,c(esk3_0))) != one
| esk2_0 != zero ),
inference(rw,[status(thm)],[4870,24,theory(equality)]) ).
cnf(4995,negated_conjecture,
( addition(esk2_0,one) != one
| esk2_0 != zero
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[4908,300,theory(equality)]) ).
cnf(4997,negated_conjecture,
( $false
| esk2_0 != zero
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4995,32,theory(equality)]),570,theory(equality)]) ).
cnf(4998,negated_conjecture,
( $false
| esk2_0 != zero
| $false ),
inference(rw,[status(thm)],[4997,75,theory(equality)]) ).
cnf(4999,negated_conjecture,
esk2_0 != zero,
inference(cn,[status(thm)],[4998,theory(equality)]) ).
cnf(5006,negated_conjecture,
( addition(esk3_0,addition(multiplication(c(esk2_0),one),multiplication(addition(esk3_0,one),esk2_0))) != one
| esk3_0 != zero ),
inference(spm,[status(thm)],[313,4792,theory(equality)]) ).
cnf(5046,negated_conjecture,
( addition(esk2_0,addition(esk3_0,c(esk2_0))) != one
| esk3_0 != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5006,61,theory(equality)]),32,theory(equality)]),571,theory(equality)]),24,theory(equality)]),32,theory(equality)]),122,theory(equality)]) ).
cnf(7215,plain,
( multiplication(X1,one) = multiplication(X1,X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[248,83,theory(equality)]) ).
cnf(7256,plain,
( X1 = multiplication(X1,X1)
| ~ test(X1) ),
inference(rw,[status(thm)],[7215,61,theory(equality)]) ).
cnf(7260,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[7256,74,theory(equality)]) ).
cnf(7261,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[7256,75,theory(equality)]) ).
cnf(7484,negated_conjecture,
( multiplication(c(esk2_0),esk2_0) = zero
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[404,7260,theory(equality)]) ).
cnf(7505,negated_conjecture,
( multiplication(c(esk2_0),esk2_0) = zero
| $false ),
inference(rw,[status(thm)],[7484,74,theory(equality)]) ).
cnf(7506,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(cn,[status(thm)],[7505,theory(equality)]) ).
cnf(7532,negated_conjecture,
( multiplication(c(esk3_0),esk3_0) = zero
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[404,7261,theory(equality)]) ).
cnf(7554,negated_conjecture,
( multiplication(c(esk3_0),esk3_0) = zero
| $false ),
inference(rw,[status(thm)],[7532,75,theory(equality)]) ).
cnf(7555,negated_conjecture,
multiplication(c(esk3_0),esk3_0) = zero,
inference(cn,[status(thm)],[7554,theory(equality)]) ).
cnf(9016,negated_conjecture,
~ test(addition(esk2_0,esk3_0)),
inference(spm,[status(thm)],[866,302,theory(equality)]) ).
cnf(9208,negated_conjecture,
c(addition(esk2_0,esk3_0)) = zero,
inference(spm,[status(thm)],[9016,41,theory(equality)]) ).
cnf(9250,negated_conjecture,
addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[867,9208,theory(equality)]),76,theory(equality)]) ).
cnf(9388,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[309,7260,theory(equality)]) ).
cnf(9389,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[309,7261,theory(equality)]) ).
cnf(9469,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| $false ),
inference(rw,[status(thm)],[9388,74,theory(equality)]) ).
cnf(9470,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(cn,[status(thm)],[9469,theory(equality)]) ).
cnf(9471,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| $false ),
inference(rw,[status(thm)],[9389,75,theory(equality)]) ).
cnf(9472,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(cn,[status(thm)],[9471,theory(equality)]) ).
cnf(9544,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| multiplication(esk2_0,c(esk2_0)) != zero
| multiplication(c(esk2_0),esk2_0) != zero
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[199,9470,theory(equality)]) ).
cnf(9555,negated_conjecture,
addition(esk3_0,multiplication(addition(esk3_0,c(esk3_0)),esk2_0)) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9250,9470,theory(equality)]),24,theory(equality)]) ).
cnf(9585,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| multiplication(esk2_0,c(esk2_0)) != zero
| $false
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[9544,7506,theory(equality)]) ).
cnf(9586,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| multiplication(esk2_0,c(esk2_0)) != zero
| ~ test(c(esk2_0)) ),
inference(cn,[status(thm)],[9585,theory(equality)]) ).
cnf(9624,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| multiplication(esk3_0,c(esk3_0)) != zero
| multiplication(c(esk3_0),esk3_0) != zero
| ~ test(c(esk3_0)) ),
inference(spm,[status(thm)],[199,9472,theory(equality)]) ).
cnf(9665,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| multiplication(esk3_0,c(esk3_0)) != zero
| $false
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[9624,7555,theory(equality)]) ).
cnf(9666,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| multiplication(esk3_0,c(esk3_0)) != zero
| ~ test(c(esk3_0)) ),
inference(cn,[status(thm)],[9665,theory(equality)]) ).
cnf(9689,negated_conjecture,
addition(esk2_0,esk3_0) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9555,9472,theory(equality)]),24,theory(equality)]),32,theory(equality)]) ).
cnf(9839,negated_conjecture,
( multiplication(c(esk2_0),one) = multiplication(c(esk2_0),c(esk2_0))
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[405,9470,theory(equality)]) ).
cnf(9840,negated_conjecture,
( multiplication(c(esk3_0),one) = multiplication(c(esk3_0),c(esk3_0))
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[405,9472,theory(equality)]) ).
cnf(9871,negated_conjecture,
( multiplication(one,addition(esk3_0,X1)) = multiplication(one,X1)
| ~ test(esk3_0)
| esk3_0 != zero ),
inference(spm,[status(thm)],[405,4792,theory(equality)]) ).
cnf(9985,negated_conjecture,
( c(esk2_0) = multiplication(c(esk2_0),c(esk2_0))
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[9839,61,theory(equality)]) ).
cnf(9986,negated_conjecture,
( c(esk2_0) = multiplication(c(esk2_0),c(esk2_0))
| $false ),
inference(rw,[status(thm)],[9985,74,theory(equality)]) ).
cnf(9987,negated_conjecture,
c(esk2_0) = multiplication(c(esk2_0),c(esk2_0)),
inference(cn,[status(thm)],[9986,theory(equality)]) ).
cnf(9988,negated_conjecture,
( c(esk3_0) = multiplication(c(esk3_0),c(esk3_0))
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[9840,61,theory(equality)]) ).
cnf(9989,negated_conjecture,
( c(esk3_0) = multiplication(c(esk3_0),c(esk3_0))
| $false ),
inference(rw,[status(thm)],[9988,75,theory(equality)]) ).
cnf(9990,negated_conjecture,
c(esk3_0) = multiplication(c(esk3_0),c(esk3_0)),
inference(cn,[status(thm)],[9989,theory(equality)]) ).
cnf(10023,negated_conjecture,
( addition(esk3_0,X1) = multiplication(one,X1)
| ~ test(esk3_0)
| esk3_0 != zero ),
inference(rw,[status(thm)],[9871,24,theory(equality)]) ).
cnf(10024,negated_conjecture,
( addition(esk3_0,X1) = X1
| ~ test(esk3_0)
| esk3_0 != zero ),
inference(rw,[status(thm)],[10023,24,theory(equality)]) ).
cnf(10025,negated_conjecture,
( addition(esk3_0,X1) = X1
| $false
| esk3_0 != zero ),
inference(rw,[status(thm)],[10024,75,theory(equality)]) ).
cnf(10026,negated_conjecture,
( addition(esk3_0,X1) = X1
| esk3_0 != zero ),
inference(cn,[status(thm)],[10025,theory(equality)]) ).
cnf(10064,negated_conjecture,
( multiplication(esk2_0,c(esk2_0)) = zero
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[478,9987,theory(equality)]) ).
cnf(10105,negated_conjecture,
( multiplication(esk2_0,c(esk2_0)) = zero
| $false ),
inference(rw,[status(thm)],[10064,74,theory(equality)]) ).
cnf(10106,negated_conjecture,
multiplication(esk2_0,c(esk2_0)) = zero,
inference(cn,[status(thm)],[10105,theory(equality)]) ).
cnf(10224,negated_conjecture,
( multiplication(esk3_0,c(esk3_0)) = zero
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[478,9990,theory(equality)]) ).
cnf(10264,negated_conjecture,
( multiplication(esk3_0,c(esk3_0)) = zero
| $false ),
inference(rw,[status(thm)],[10224,75,theory(equality)]) ).
cnf(10265,negated_conjecture,
multiplication(esk3_0,c(esk3_0)) = zero,
inference(cn,[status(thm)],[10264,theory(equality)]) ).
cnf(10715,negated_conjecture,
( addition(esk2_0,c(esk2_0)) != one
| esk3_0 != zero ),
inference(spm,[status(thm)],[5046,10026,theory(equality)]) ).
cnf(10761,negated_conjecture,
( $false
| esk3_0 != zero ),
inference(rw,[status(thm)],[10715,9470,theory(equality)]) ).
cnf(10762,negated_conjecture,
esk3_0 != zero,
inference(cn,[status(thm)],[10761,theory(equality)]) ).
cnf(14567,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| $false
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[9586,10106,theory(equality)]) ).
cnf(14568,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| ~ test(c(esk2_0)) ),
inference(cn,[status(thm)],[14567,theory(equality)]) ).
cnf(14570,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[14568,212,theory(equality)]) ).
cnf(14578,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| $false ),
inference(rw,[status(thm)],[14570,74,theory(equality)]) ).
cnf(14579,negated_conjecture,
c(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[14578,theory(equality)]) ).
cnf(18807,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| $false
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[9666,10265,theory(equality)]) ).
cnf(18808,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| ~ test(c(esk3_0)) ),
inference(cn,[status(thm)],[18807,theory(equality)]) ).
cnf(18810,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[18808,212,theory(equality)]) ).
cnf(18819,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| $false ),
inference(rw,[status(thm)],[18810,75,theory(equality)]) ).
cnf(18820,negated_conjecture,
c(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[18819,theory(equality)]) ).
cnf(119964,plain,
( multiplication(c(addition(X1,X2)),addition(one,c(c(X2)))) = multiplication(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(csr,[status(thm)],[1924,212]) ).
cnf(120020,negated_conjecture,
( multiplication(zero,addition(one,c(c(esk3_0)))) = multiplication(c(esk2_0),c(esk3_0))
| ~ test(esk3_0)
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[119964,9208,theory(equality)]) ).
cnf(120463,negated_conjecture,
( zero = multiplication(c(esk2_0),c(esk3_0))
| ~ test(esk3_0)
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[120020,18820,theory(equality)]),571,theory(equality)]),38,theory(equality)]) ).
cnf(120464,negated_conjecture,
( zero = multiplication(c(esk2_0),c(esk3_0))
| $false
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[120463,75,theory(equality)]) ).
cnf(120465,negated_conjecture,
( zero = multiplication(c(esk2_0),c(esk3_0))
| $false
| $false ),
inference(rw,[status(thm)],[120464,74,theory(equality)]) ).
cnf(120466,negated_conjecture,
zero = multiplication(c(esk2_0),c(esk3_0)),
inference(cn,[status(thm)],[120465,theory(equality)]) ).
cnf(120967,negated_conjecture,
( addition(c(c(esk2_0)),c(c(esk3_0))) = c(multiplication(c(esk2_0),zero))
| ~ test(multiplication(c(esk2_0),c(esk2_0)))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[222,120466,theory(equality)]) ).
cnf(121099,negated_conjecture,
( addition(esk2_0,esk3_0) = c(multiplication(c(esk2_0),zero))
| ~ test(multiplication(c(esk2_0),c(esk2_0)))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[120967,14579,theory(equality)]),18820,theory(equality)]) ).
cnf(121100,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| ~ test(multiplication(c(esk2_0),c(esk2_0)))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[121099,22,theory(equality)]),3197,theory(equality)]) ).
cnf(121101,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| ~ test(c(esk2_0))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[121100,9987,theory(equality)]) ).
cnf(121102,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| ~ test(c(esk2_0))
| ~ test(c(esk3_0)) ),
inference(cn,[status(thm)],[121101,theory(equality)]) ).
cnf(121236,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| c(c(esk3_0)) = zero
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[121102,41,theory(equality)]) ).
cnf(121247,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| esk3_0 = zero
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[121236,18820,theory(equality)]) ).
cnf(121248,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| ~ test(c(esk2_0)) ),
inference(sr,[status(thm)],[121247,10762,theory(equality)]) ).
cnf(121264,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| c(c(esk2_0)) = zero ),
inference(spm,[status(thm)],[121248,41,theory(equality)]) ).
cnf(121276,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| esk2_0 = zero ),
inference(rw,[status(thm)],[121264,14579,theory(equality)]) ).
cnf(121277,negated_conjecture,
addition(esk2_0,esk3_0) = one,
inference(sr,[status(thm)],[121276,4999,theory(equality)]) ).
cnf(121382,negated_conjecture,
$false,
inference(rw,[status(thm)],[9689,121277,theory(equality)]) ).
cnf(121383,negated_conjecture,
$false,
inference(cn,[status(thm)],[121382,theory(equality)]) ).
cnf(121384,negated_conjecture,
$false,
121383,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE011+3.p
% --creating new selector for [KLE001+0.ax, KLE001+1.ax, KLE001+2.ax]
% -running prover on /tmp/tmph99XGz/sel_KLE011+3.p_1 with time limit 29
% -prover status Theorem
% Problem KLE011+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE011+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE011+3.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
%
%------------------------------------------------------------------------------