TSTP Solution File: KLE010+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE010+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 11:40:04 EST 2010
% Result : Theorem 3.03s
% Output : CNFRefutation 3.03s
% Verified :
% SZS Type : None (Could not find formula named th)
% Syntax : Number of formulae : 274
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',right_annihilation) ).
fof(2,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',multiplicative_left_identity) ).
fof(3,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',additive_identity) ).
fof(4,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',left_distributivity) ).
fof(5,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',additive_associativity) ).
fof(6,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',additive_commutativity) ).
fof(7,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',additive_idempotence) ).
fof(8,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',multiplicative_associativity) ).
fof(9,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',left_annihilation) ).
fof(10,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',test_4) ).
fof(11,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/tmp/tmpZnYqsE/sel_KLE010+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/tmpZnYqsE/sel_KLE010+3.p_1',test_2) ).
fof(13,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',test_1) ).
fof(14,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpZnYqsE/sel_KLE010+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/tmpZnYqsE/sel_KLE010+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/tmpZnYqsE/sel_KLE010+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/tmpZnYqsE/sel_KLE010+3.p_1',right_distributivity) ).
fof(18,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> one = addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))) ),
file('/tmp/tmpZnYqsE/sel_KLE010+3.p_1',goals) ).
fof(19,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> one = addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(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(27,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(28,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[27]) ).
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(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(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(addition(addition(multiplication(X7,X6),multiplication(c(X7),X6)),multiplication(X6,X7)),multiplication(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(addition(addition(multiplication(esk3_0,esk2_0),multiplication(c(esk3_0),esk2_0)),multiplication(esk2_0,esk3_0)),multiplication(c(esk2_0),esk3_0)),multiplication(c(esk2_0),c(esk3_0))) ),
inference(skolemize,[status(esa)],[71]) ).
cnf(73,negated_conjecture,
one != addition(addition(addition(addition(multiplication(esk3_0,esk2_0),multiplication(c(esk3_0),esk2_0)),multiplication(esk2_0,esk3_0)),multiplication(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(125,plain,
( addition(c(multiplication(X1,X2)),X3) = addition(c(X1),addition(c(X2),X3))
| ~ test(X2)
| ~ test(X1) ),
inference(spm,[status(thm)],[30,67,theory(equality)]) ).
cnf(128,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[69,61,theory(equality)]) ).
cnf(173,plain,
addition(multiplication(addition(X1,X3),X2),X4) = addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)),
inference(spm,[status(thm)],[30,28,theory(equality)]) ).
cnf(195,plain,
( test(X1)
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one ),
inference(spm,[status(thm)],[59,50,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(esk2_0,esk3_0),addition(multiplication(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[73,28,theory(equality)]),32,theory(equality)]),30,theory(equality)]),32,theory(equality)]),30,theory(equality)]),30,theory(equality)]),32,theory(equality)]) ).
cnf(201,negated_conjecture,
( addition(multiplication(esk2_0,esk3_0),addition(multiplication(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(esk2_0,esk3_0),addition(multiplication(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(esk2_0,esk3_0),addition(multiplication(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(esk2_0,esk3_0),addition(multiplication(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(301,plain,
( addition(one,X2) = addition(X1,addition(c(X1),X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[30,300,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(303,plain,
( one = c(zero)
| ~ test(zero) ),
inference(spm,[status(thm)],[76,300,theory(equality)]) ).
cnf(304,negated_conjecture,
( addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(one,esk2_0)))) != one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[200,300,theory(equality)]) ).
cnf(305,negated_conjecture,
( addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk2_0)))) != one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[204,300,theory(equality)]) ).
cnf(306,plain,
( one = c(multiplication(X1,c(X1)))
| ~ test(c(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[67,300,theory(equality)]) ).
cnf(307,plain,
( addition(multiplication(X1,X1),c(X1)) = one
| ~ test(multiplication(X1,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[300,124,theory(equality)]) ).
cnf(309,negated_conjecture,
( addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))) != one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[304,24,theory(equality)]),32,theory(equality)]) ).
cnf(310,negated_conjecture,
( addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))) != one
| $false ),
inference(rw,[status(thm)],[309,75,theory(equality)]) ).
cnf(311,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))) != one,
inference(cn,[status(thm)],[310,theory(equality)]) ).
cnf(312,negated_conjecture,
( addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,c(addition(esk2_0,esk3_0))))) != one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[305,24,theory(equality)]),32,theory(equality)]) ).
cnf(313,negated_conjecture,
( addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,c(addition(esk2_0,esk3_0))))) != one
| $false ),
inference(rw,[status(thm)],[312,75,theory(equality)]) ).
cnf(314,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,c(addition(esk2_0,esk3_0))))) != one,
inference(cn,[status(thm)],[313,theory(equality)]) ).
cnf(320,plain,
( c(zero) = one
| c(zero) = zero ),
inference(spm,[status(thm)],[303,41,theory(equality)]) ).
cnf(321,plain,
( c(zero) = zero
| one != zero ),
inference(ef,[status(thm)],[320,theory(equality)]) ).
cnf(327,plain,
( test(one)
| c(zero) = zero
| ~ test(zero) ),
inference(spm,[status(thm)],[212,320,theory(equality)]) ).
cnf(339,plain,
( c(zero) = zero
| test(one) ),
inference(csr,[status(thm)],[327,41]) ).
cnf(340,plain,
( multiplication(zero,c(X1)) = c(addition(zero,X1))
| ~ test(X1)
| ~ test(zero)
| one != zero ),
inference(spm,[status(thm)],[64,321,theory(equality)]) ).
cnf(348,plain,
( zero = c(addition(zero,X1))
| ~ test(X1)
| ~ test(zero)
| one != zero ),
inference(rw,[status(thm)],[340,38,theory(equality)]) ).
cnf(349,plain,
( zero = c(X1)
| ~ test(X1)
| ~ test(zero)
| one != zero ),
inference(rw,[status(thm)],[348,76,theory(equality)]) ).
cnf(358,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[88,theory(equality)]) ).
cnf(366,plain,
( zero = c(one)
| ~ test(one) ),
inference(spm,[status(thm)],[61,358,theory(equality)]) ).
cnf(367,plain,
( multiplication(zero,X2) = multiplication(c(X1),multiplication(X1,X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[36,358,theory(equality)]) ).
cnf(368,plain,
( addition(zero,multiplication(c(X1),X2)) = multiplication(c(X1),addition(X1,X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[69,358,theory(equality)]) ).
cnf(369,plain,
( addition(multiplication(c(X1),X2),zero) = multiplication(c(X1),addition(X2,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[69,358,theory(equality)]) ).
cnf(370,plain,
( addition(zero,multiplication(X2,X1)) = multiplication(addition(c(X1),X2),X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[28,358,theory(equality)]) ).
cnf(377,plain,
( zero = multiplication(c(X1),multiplication(X1,X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[367,38,theory(equality)]) ).
cnf(378,plain,
( multiplication(c(X1),X2) = multiplication(c(X1),addition(X1,X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[368,76,theory(equality)]) ).
cnf(379,plain,
( multiplication(c(X1),X2) = multiplication(c(X1),addition(X2,X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[369,26,theory(equality)]) ).
cnf(380,plain,
( multiplication(X2,X1) = multiplication(addition(c(X1),X2),X1)
| ~ test(X1) ),
inference(rw,[status(thm)],[370,76,theory(equality)]) ).
cnf(386,plain,
c(one) = zero,
inference(csr,[status(thm)],[366,41]) ).
cnf(391,plain,
( test(X1)
| zero != X1
| ~ test(one) ),
inference(spm,[status(thm)],[86,386,theory(equality)]) ).
cnf(392,plain,
( test(zero)
| ~ test(one) ),
inference(spm,[status(thm)],[212,386,theory(equality)]) ).
cnf(393,plain,
( addition(X1,one) = one
| zero != X1
| ~ test(one) ),
inference(spm,[status(thm)],[87,386,theory(equality)]) ).
cnf(417,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[89,theory(equality)]) ).
cnf(458,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[113,32,theory(equality)]) ).
cnf(461,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[113,83,theory(equality)]) ).
cnf(475,negated_conjecture,
addition(esk3_0,one) = one,
inference(spm,[status(thm)],[461,75,theory(equality)]) ).
cnf(485,negated_conjecture,
addition(one,X1) = addition(esk3_0,addition(one,X1)),
inference(spm,[status(thm)],[30,475,theory(equality)]) ).
cnf(773,negated_conjecture,
addition(esk3_0,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[485,458,theory(equality)]) ).
cnf(886,negated_conjecture,
addition(esk2_0,addition(multiplication(esk2_0,esk3_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0))))) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[311,115,theory(equality)]),69,theory(equality)]),32,theory(equality)]),115,theory(equality)]),32,theory(equality)]) ).
cnf(887,negated_conjecture,
addition(esk2_0,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),c(addition(esk2_0,esk3_0))))) != one,
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)],[314,115,theory(equality)]),32,theory(equality)]),115,theory(equality)]),30,theory(equality)]),32,theory(equality)]),115,theory(equality)]),32,theory(equality)]) ).
cnf(1078,plain,
( c(X1) = zero
| one != zero
| ~ test(zero) ),
inference(csr,[status(thm)],[349,41]) ).
cnf(1200,plain,
( addition(c(X1),one) = addition(c(multiplication(X1,X2)),c(c(X2)))
| ~ test(X2)
| ~ test(X1)
| ~ test(c(X2)) ),
inference(spm,[status(thm)],[125,300,theory(equality)]) ).
cnf(1231,plain,
( addition(one,c(X1)) = addition(c(multiplication(X1,X2)),c(c(X2)))
| ~ test(X2)
| ~ test(X1)
| ~ test(c(X2)) ),
inference(rw,[status(thm)],[1200,32,theory(equality)]) ).
cnf(1471,plain,
( addition(X1,zero) = multiplication(X1,addition(one,c(X1)))
| ~ test(X1) ),
inference(spm,[status(thm)],[128,417,theory(equality)]) ).
cnf(1502,plain,
( X1 = multiplication(X1,addition(one,c(X1)))
| ~ test(X1) ),
inference(rw,[status(thm)],[1471,26,theory(equality)]) ).
cnf(1591,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)],[99,1502,theory(equality)]) ).
cnf(1620,plain,
( c(multiplication(X1,c(X1))) = one
| ~ test(X1) ),
inference(csr,[status(thm)],[306,212]) ).
cnf(1641,plain,
( c(zero) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[1620,417,theory(equality)]) ).
cnf(1691,negated_conjecture,
c(zero) = one,
inference(spm,[status(thm)],[1641,74,theory(equality)]) ).
cnf(1703,negated_conjecture,
( test(one)
| ~ test(zero) ),
inference(spm,[status(thm)],[212,1691,theory(equality)]) ).
cnf(1726,plain,
( one = zero
| test(one) ),
inference(rw,[status(thm)],[339,1691,theory(equality)]) ).
cnf(1762,plain,
( addition(X1,one) = one
| one = zero
| zero != X1 ),
inference(spm,[status(thm)],[393,1726,theory(equality)]) ).
cnf(2622,plain,
( one = addition(one,X1)
| one = zero
| zero != X1 ),
inference(spm,[status(thm)],[32,1762,theory(equality)]) ).
cnf(3146,negated_conjecture,
addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[887,173,theory(equality)]),32,theory(equality)]) ).
cnf(3147,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)],[204,173,theory(equality)]),122,theory(equality)]) ).
cnf(3222,negated_conjecture,
( addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk3_0))) != one
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[3146,300,theory(equality)]) ).
cnf(3225,negated_conjecture,
( addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))) != one
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3222,24,theory(equality)]),32,theory(equality)]) ).
cnf(3226,negated_conjecture,
( addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))) != one
| $false ),
inference(rw,[status(thm)],[3225,74,theory(equality)]) ).
cnf(3227,negated_conjecture,
addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))) != one,
inference(cn,[status(thm)],[3226,theory(equality)]) ).
cnf(3235,negated_conjecture,
( addition(c(addition(esk2_0,esk3_0)),addition(multiplication(one,esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) != one
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[3147,300,theory(equality)]) ).
cnf(3240,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)],[inference(rw,[status(thm)],[3235,24,theory(equality)]),122,theory(equality)]) ).
cnf(3241,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)],[3240,74,theory(equality)]) ).
cnf(3242,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)],[3241,theory(equality)]) ).
cnf(3710,plain,
( test(X1)
| multiplication(X1,zero) != zero
| multiplication(zero,X1) != zero
| X1 != one ),
inference(spm,[status(thm)],[195,26,theory(equality)]) ).
cnf(3751,plain,
( test(X1)
| $false
| multiplication(zero,X1) != zero
| X1 != one ),
inference(rw,[status(thm)],[3710,22,theory(equality)]) ).
cnf(3752,plain,
( test(X1)
| $false
| $false
| X1 != one ),
inference(rw,[status(thm)],[3751,38,theory(equality)]) ).
cnf(3753,plain,
( test(X1)
| X1 != one ),
inference(cn,[status(thm)],[3752,theory(equality)]) ).
cnf(3803,plain,
test(zero),
inference(spm,[status(thm)],[392,3753,theory(equality)]) ).
cnf(3820,negated_conjecture,
( test(one)
| $false ),
inference(rw,[status(thm)],[1703,3803,theory(equality)]) ).
cnf(3821,negated_conjecture,
test(one),
inference(cn,[status(thm)],[3820,theory(equality)]) ).
cnf(3824,plain,
( c(X1) = zero
| one != zero
| $false ),
inference(rw,[status(thm)],[1078,3803,theory(equality)]) ).
cnf(3825,plain,
( c(X1) = zero
| one != zero ),
inference(cn,[status(thm)],[3824,theory(equality)]) ).
cnf(3851,plain,
( test(X1)
| zero != X1
| $false ),
inference(rw,[status(thm)],[391,3821,theory(equality)]) ).
cnf(3852,plain,
( test(X1)
| zero != X1 ),
inference(cn,[status(thm)],[3851,theory(equality)]) ).
cnf(3864,negated_conjecture,
( addition(esk2_0,addition(multiplication(esk2_0,esk3_0),multiplication(zero,addition(esk3_0,c(esk3_0))))) != one
| one != zero ),
inference(spm,[status(thm)],[886,3825,theory(equality)]) ).
cnf(3885,plain,
( addition(X1,zero) = one
| ~ test(X1)
| one != zero ),
inference(spm,[status(thm)],[300,3825,theory(equality)]) ).
cnf(3910,negated_conjecture,
( esk2_0 != one
| one != 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)],[3864,38,theory(equality)]),26,theory(equality)]),128,theory(equality)]),32,theory(equality)]),475,theory(equality)]),61,theory(equality)]) ).
cnf(3928,plain,
( X1 = one
| ~ test(X1)
| one != zero ),
inference(rw,[status(thm)],[3885,26,theory(equality)]) ).
cnf(3954,negated_conjecture,
( esk2_0 = one
| one != zero ),
inference(spm,[status(thm)],[3928,74,theory(equality)]) ).
cnf(4038,negated_conjecture,
one != zero,
inference(csr,[status(thm)],[3954,3910]) ).
cnf(4803,plain,
( c(X1) = one
| one = zero
| multiplication(one,X1) != zero
| multiplication(X1,one) != zero
| ~ test(X1)
| zero != X1 ),
inference(spm,[status(thm)],[199,2622,theory(equality)]) ).
cnf(4851,plain,
( c(X1) = one
| one = zero
| X1 != zero
| multiplication(X1,one) != zero
| ~ test(X1)
| zero != X1 ),
inference(rw,[status(thm)],[4803,24,theory(equality)]) ).
cnf(4852,plain,
( c(X1) = one
| one = zero
| X1 != zero
| X1 != zero
| ~ test(X1)
| zero != X1 ),
inference(rw,[status(thm)],[4851,61,theory(equality)]) ).
cnf(4853,plain,
( c(X1) = one
| one = zero
| X1 != zero
| ~ test(X1) ),
inference(cn,[status(thm)],[4852,theory(equality)]) ).
cnf(4854,plain,
( c(X1) = one
| X1 != zero
| ~ test(X1) ),
inference(sr,[status(thm)],[4853,4038,theory(equality)]) ).
cnf(4870,plain,
( c(X1) = one
| X1 != zero ),
inference(csr,[status(thm)],[4854,3852]) ).
cnf(6615,plain,
( multiplication(X1,one) = multiplication(X1,X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[248,83,theory(equality)]) ).
cnf(6656,plain,
( X1 = multiplication(X1,X1)
| ~ test(X1) ),
inference(rw,[status(thm)],[6615,61,theory(equality)]) ).
cnf(7777,negated_conjecture,
( addition(one,one) = addition(c(esk3_0),one)
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[773,301,theory(equality)]) ).
cnf(7876,negated_conjecture,
( one = addition(c(esk3_0),one)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[7777,34,theory(equality)]) ).
cnf(7877,negated_conjecture,
( one = addition(one,c(esk3_0))
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[7876,32,theory(equality)]) ).
cnf(7878,negated_conjecture,
( one = addition(one,c(esk3_0))
| $false ),
inference(rw,[status(thm)],[7877,75,theory(equality)]) ).
cnf(7879,negated_conjecture,
one = addition(one,c(esk3_0)),
inference(cn,[status(thm)],[7878,theory(equality)]) ).
cnf(8170,negated_conjecture,
~ test(addition(esk2_0,esk3_0)),
inference(spm,[status(thm)],[3227,302,theory(equality)]) ).
cnf(8368,negated_conjecture,
c(addition(esk2_0,esk3_0)) = zero,
inference(spm,[status(thm)],[8170,41,theory(equality)]) ).
cnf(8408,negated_conjecture,
addition(esk3_0,multiplication(addition(esk3_0,c(esk3_0)),esk2_0)) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3242,8368,theory(equality)]),76,theory(equality)]) ).
cnf(8745,plain,
( multiplication(one,addition(X1,X2)) = multiplication(one,X2)
| ~ test(X1)
| X1 != zero ),
inference(spm,[status(thm)],[378,4870,theory(equality)]) ).
cnf(8841,plain,
( addition(X1,X2) = multiplication(one,X2)
| ~ test(X1)
| X1 != zero ),
inference(rw,[status(thm)],[8745,24,theory(equality)]) ).
cnf(8842,plain,
( addition(X1,X2) = X2
| ~ test(X1)
| X1 != zero ),
inference(rw,[status(thm)],[8841,24,theory(equality)]) ).
cnf(9228,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[6656,74,theory(equality)]) ).
cnf(9229,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[6656,75,theory(equality)]) ).
cnf(9386,negated_conjecture,
( multiplication(c(esk2_0),esk2_0) = zero
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[377,9228,theory(equality)]) ).
cnf(9392,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[307,9228,theory(equality)]) ).
cnf(9410,negated_conjecture,
( multiplication(c(esk2_0),esk2_0) = zero
| $false ),
inference(rw,[status(thm)],[9386,74,theory(equality)]) ).
cnf(9411,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(cn,[status(thm)],[9410,theory(equality)]) ).
cnf(9423,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| $false ),
inference(rw,[status(thm)],[9392,74,theory(equality)]) ).
cnf(9424,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(cn,[status(thm)],[9423,theory(equality)]) ).
cnf(9449,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[307,9229,theory(equality)]) ).
cnf(9480,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| $false ),
inference(rw,[status(thm)],[9449,75,theory(equality)]) ).
cnf(9481,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(cn,[status(thm)],[9480,theory(equality)]) ).
cnf(9510,negated_conjecture,
( multiplication(c(esk2_0),one) = multiplication(c(esk2_0),c(esk2_0))
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[378,9424,theory(equality)]) ).
cnf(9511,negated_conjecture,
( multiplication(c(c(esk2_0)),one) = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[379,9424,theory(equality)]) ).
cnf(9560,negated_conjecture,
( c(esk2_0) = multiplication(c(esk2_0),c(esk2_0))
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[9510,61,theory(equality)]) ).
cnf(9561,negated_conjecture,
( c(esk2_0) = multiplication(c(esk2_0),c(esk2_0))
| $false ),
inference(rw,[status(thm)],[9560,74,theory(equality)]) ).
cnf(9562,negated_conjecture,
c(esk2_0) = multiplication(c(esk2_0),c(esk2_0)),
inference(cn,[status(thm)],[9561,theory(equality)]) ).
cnf(9563,negated_conjecture,
( c(c(esk2_0)) = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[9511,61,theory(equality)]) ).
cnf(9593,negated_conjecture,
( multiplication(c(c(esk3_0)),one) = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(c(esk3_0)) ),
inference(spm,[status(thm)],[379,9481,theory(equality)]) ).
cnf(9595,negated_conjecture,
addition(esk2_0,esk3_0) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8408,9481,theory(equality)]),24,theory(equality)]),32,theory(equality)]) ).
cnf(9645,negated_conjecture,
( c(c(esk3_0)) = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[9593,61,theory(equality)]) ).
cnf(9651,negated_conjecture,
addition(zero,multiplication(X1,esk2_0)) = multiplication(addition(c(esk2_0),X1),esk2_0),
inference(spm,[status(thm)],[28,9411,theory(equality)]) ).
cnf(9679,negated_conjecture,
multiplication(X1,esk2_0) = multiplication(addition(c(esk2_0),X1),esk2_0),
inference(rw,[status(thm)],[9651,76,theory(equality)]) ).
cnf(11757,plain,
( addition(X1,X2) = X2
| X1 != zero ),
inference(csr,[status(thm)],[8842,3852]) ).
cnf(11790,plain,
( X2 = addition(X2,X1)
| X1 != zero ),
inference(spm,[status(thm)],[32,11757,theory(equality)]) ).
cnf(11810,negated_conjecture,
( ~ test(esk3_0)
| esk2_0 != zero ),
inference(spm,[status(thm)],[8170,11757,theory(equality)]) ).
cnf(11878,negated_conjecture,
( $false
| esk2_0 != zero ),
inference(rw,[status(thm)],[11810,75,theory(equality)]) ).
cnf(11879,negated_conjecture,
esk2_0 != zero,
inference(cn,[status(thm)],[11878,theory(equality)]) ).
cnf(13008,negated_conjecture,
( ~ test(esk2_0)
| esk3_0 != zero ),
inference(spm,[status(thm)],[8170,11790,theory(equality)]) ).
cnf(13079,negated_conjecture,
( $false
| esk3_0 != zero ),
inference(rw,[status(thm)],[13008,74,theory(equality)]) ).
cnf(13080,negated_conjecture,
esk3_0 != zero,
inference(cn,[status(thm)],[13079,theory(equality)]) ).
cnf(43418,negated_conjecture,
( multiplication(one,esk2_0) = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[9679,300,theory(equality)]) ).
cnf(43504,negated_conjecture,
( esk2_0 = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[43418,24,theory(equality)]) ).
cnf(43628,negated_conjecture,
( esk2_0 = c(c(esk2_0))
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[9563,43504,theory(equality)]) ).
cnf(43739,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[43628,212,theory(equality)]) ).
cnf(43749,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| $false ),
inference(rw,[status(thm)],[43739,74,theory(equality)]) ).
cnf(43750,negated_conjecture,
c(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[43749,theory(equality)]) ).
cnf(48260,plain,
( addition(c(multiplication(X1,X2)),c(c(X2))) = addition(one,c(X1))
| ~ test(X2)
| ~ test(X1) ),
inference(csr,[status(thm)],[1231,212]) ).
cnf(48277,negated_conjecture,
( addition(c(esk3_0),c(c(esk3_0))) = addition(one,c(esk3_0))
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[48260,9229,theory(equality)]) ).
cnf(48504,negated_conjecture,
( addition(c(esk3_0),c(c(esk3_0))) = one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[48277,7879,theory(equality)]) ).
cnf(48505,negated_conjecture,
( addition(c(esk3_0),c(c(esk3_0))) = one
| $false ),
inference(rw,[status(thm)],[48504,75,theory(equality)]) ).
cnf(48506,negated_conjecture,
addition(c(esk3_0),c(c(esk3_0))) = one,
inference(cn,[status(thm)],[48505,theory(equality)]) ).
cnf(48741,negated_conjecture,
( multiplication(one,esk3_0) = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[380,48506,theory(equality)]) ).
cnf(48854,negated_conjecture,
( esk3_0 = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[48741,24,theory(equality)]) ).
cnf(48855,negated_conjecture,
( esk3_0 = multiplication(c(c(esk3_0)),esk3_0)
| $false ),
inference(rw,[status(thm)],[48854,75,theory(equality)]) ).
cnf(48856,negated_conjecture,
esk3_0 = multiplication(c(c(esk3_0)),esk3_0),
inference(cn,[status(thm)],[48855,theory(equality)]) ).
cnf(49813,negated_conjecture,
( esk3_0 = c(c(esk3_0))
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[9645,48856,theory(equality)]) ).
cnf(49911,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[49813,212,theory(equality)]) ).
cnf(49921,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| $false ),
inference(rw,[status(thm)],[49911,75,theory(equality)]) ).
cnf(49922,negated_conjecture,
c(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[49921,theory(equality)]) ).
cnf(85099,plain,
( multiplication(c(addition(X1,X2)),addition(one,c(c(X2)))) = multiplication(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(csr,[status(thm)],[1591,212]) ).
cnf(85149,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)],[85099,8368,theory(equality)]) ).
cnf(85488,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)],[inference(rw,[status(thm)],[85149,49922,theory(equality)]),32,theory(equality)]),475,theory(equality)]),38,theory(equality)]) ).
cnf(85489,negated_conjecture,
( zero = multiplication(c(esk2_0),c(esk3_0))
| $false
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[85488,75,theory(equality)]) ).
cnf(85490,negated_conjecture,
( zero = multiplication(c(esk2_0),c(esk3_0))
| $false
| $false ),
inference(rw,[status(thm)],[85489,74,theory(equality)]) ).
cnf(85491,negated_conjecture,
zero = multiplication(c(esk2_0),c(esk3_0)),
inference(cn,[status(thm)],[85490,theory(equality)]) ).
cnf(85826,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)],[222,85491,theory(equality)]) ).
cnf(85941,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)],[85826,43750,theory(equality)]),49922,theory(equality)]) ).
cnf(85942,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)],[85941,22,theory(equality)]),1691,theory(equality)]) ).
cnf(85943,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| ~ test(c(esk2_0))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[85942,9562,theory(equality)]) ).
cnf(85944,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| ~ test(c(esk2_0))
| ~ test(c(esk3_0)) ),
inference(cn,[status(thm)],[85943,theory(equality)]) ).
cnf(85945,negated_conjecture,
( ~ test(c(esk2_0))
| ~ test(c(esk3_0)) ),
inference(sr,[status(thm)],[85944,9595,theory(equality)]) ).
cnf(86052,negated_conjecture,
( c(c(esk3_0)) = zero
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[85945,41,theory(equality)]) ).
cnf(86064,negated_conjecture,
( esk3_0 = zero
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[86052,49922,theory(equality)]) ).
cnf(86065,negated_conjecture,
~ test(c(esk2_0)),
inference(sr,[status(thm)],[86064,13080,theory(equality)]) ).
cnf(86083,negated_conjecture,
c(c(esk2_0)) = zero,
inference(spm,[status(thm)],[86065,41,theory(equality)]) ).
cnf(86096,negated_conjecture,
esk2_0 = zero,
inference(rw,[status(thm)],[86083,43750,theory(equality)]) ).
cnf(86097,negated_conjecture,
$false,
inference(sr,[status(thm)],[86096,11879,theory(equality)]) ).
cnf(86098,negated_conjecture,
$false,
86097,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE010+3.p
% --creating new selector for [KLE001+0.ax, KLE001+1.ax, KLE001+2.ax]
% -running prover on /tmp/tmpZnYqsE/sel_KLE010+3.p_1 with time limit 29
% -prover status Theorem
% Problem KLE010+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE010+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE010+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
%
%------------------------------------------------------------------------------