TSTP Solution File: KLE010+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE010+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 11:40:11 EST 2010
% Result : Theorem 3.05s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : None (Could not find formula named theoreory(equality))
% Syntax : Number of formulae : 325
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',right_annihilation) ).
fof(2,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',multiplicative_left_identity) ).
fof(3,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',additive_identity) ).
fof(4,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',left_distributivity) ).
fof(5,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',additive_associativity) ).
fof(6,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',additive_commutativity) ).
fof(7,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',additive_idempotence) ).
fof(8,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',multiplicative_associativity) ).
fof(9,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',left_annihilation) ).
fof(10,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',order) ).
fof(11,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',test_4) ).
fof(12,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',test_3) ).
fof(13,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',test_2) ).
fof(14,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',test_1) ).
fof(15,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',multiplicative_right_identity) ).
fof(16,axiom,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',test_deMorgan1) ).
fof(17,axiom,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',test_deMorgan2) ).
fof(18,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',right_distributivity) ).
fof(19,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(one,addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))))
& leq(addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))),one) ) ),
file('/tmp/tmpGzd4zD/sel_KLE010+4.p_1',goals) ).
fof(20,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(one,addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))))
& leq(addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))),one) ) ),
inference(assume_negation,[status(cth)],[19]) ).
fof(21,plain,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(22,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[1]) ).
cnf(23,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[2]) ).
cnf(25,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[3]) ).
cnf(27,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(29,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[5]) ).
cnf(31,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[6]) ).
cnf(33,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[7]) ).
cnf(35,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[8]) ).
cnf(37,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[36]) ).
fof(38,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[9]) ).
cnf(39,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[38]) ).
fof(40,plain,
! [X1,X2] :
( ( ~ leq(X1,X2)
| addition(X1,X2) = X2 )
& ( addition(X1,X2) != X2
| leq(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(41,plain,
! [X3,X4] :
( ( ~ leq(X3,X4)
| addition(X3,X4) = X4 )
& ( addition(X3,X4) != X4
| leq(X3,X4) ) ),
inference(variable_rename,[status(thm)],[40]) ).
cnf(42,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(44,plain,
! [X4] :
( test(X4)
| c(X4) = zero ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(45,plain,
! [X5] :
( test(X5)
| c(X5) = zero ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( c(X1) = zero
| test(X1) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(47,plain,
! [X4,X5] :
( ~ test(X4)
| ( ( c(X4) != X5
| complement(X4,X5) )
& ( ~ complement(X4,X5)
| c(X4) = X5 ) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(48,plain,
! [X6,X7] :
( ~ test(X6)
| ( ( c(X6) != X7
| complement(X6,X7) )
& ( ~ complement(X6,X7)
| c(X6) = X7 ) ) ),
inference(variable_rename,[status(thm)],[47]) ).
fof(49,plain,
! [X6,X7] :
( ( c(X6) != X7
| complement(X6,X7)
| ~ test(X6) )
& ( ~ complement(X6,X7)
| c(X6) = X7
| ~ test(X6) ) ),
inference(distribute,[status(thm)],[48]) ).
cnf(50,plain,
( c(X1) = X2
| ~ test(X1)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(51,plain,
( complement(X1,X2)
| ~ test(X1)
| c(X1) != X2 ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(52,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)],[13]) ).
fof(53,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)],[52]) ).
fof(54,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)],[53]) ).
cnf(55,plain,
( complement(X1,X2)
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(split_conjunct,[status(thm)],[54]) ).
cnf(56,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[54]) ).
cnf(57,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[54]) ).
cnf(58,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(59,plain,
! [X4] :
( ( ~ test(X4)
| ? [X5] : complement(X5,X4) )
& ( ! [X5] : ~ complement(X5,X4)
| test(X4) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(60,plain,
! [X6] :
( ( ~ test(X6)
| ? [X7] : complement(X7,X6) )
& ( ! [X8] : ~ complement(X8,X6)
| test(X6) ) ),
inference(variable_rename,[status(thm)],[59]) ).
fof(61,plain,
! [X6] :
( ( ~ test(X6)
| complement(esk1_1(X6),X6) )
& ( ! [X8] : ~ complement(X8,X6)
| test(X6) ) ),
inference(skolemize,[status(esa)],[60]) ).
fof(62,plain,
! [X6,X8] :
( ( ~ complement(X8,X6)
| test(X6) )
& ( ~ test(X6)
| complement(esk1_1(X6),X6) ) ),
inference(shift_quantors,[status(thm)],[61]) ).
cnf(63,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(64,plain,
( test(X1)
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(65,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[15]) ).
cnf(66,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[65]) ).
fof(67,plain,
! [X4,X5] :
( ~ test(X4)
| ~ test(X5)
| c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(68,plain,
! [X6,X7] :
( ~ test(X6)
| ~ test(X7)
| c(addition(X6,X7)) = multiplication(c(X6),c(X7)) ),
inference(variable_rename,[status(thm)],[67]) ).
cnf(69,plain,
( c(addition(X1,X2)) = multiplication(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[68]) ).
fof(70,plain,
! [X4,X5] :
( ~ test(X4)
| ~ test(X5)
| c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(71,plain,
! [X6,X7] :
( ~ test(X6)
| ~ test(X7)
| c(multiplication(X6,X7)) = addition(c(X6),c(X7)) ),
inference(variable_rename,[status(thm)],[70]) ).
cnf(72,plain,
( c(multiplication(X1,X2)) = addition(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
fof(73,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[18]) ).
cnf(74,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[73]) ).
fof(75,negated_conjecture,
? [X4,X5] :
( test(X5)
& test(X4)
& ( ~ leq(one,addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))))
| ~ leq(addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))),one) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(76,negated_conjecture,
? [X6,X7] :
( test(X7)
& test(X6)
& ( ~ leq(one,addition(addition(addition(addition(multiplication(X7,X6),multiplication(c(X7),X6)),multiplication(X6,X7)),multiplication(c(X6),X7)),multiplication(c(X6),c(X7))))
| ~ leq(addition(addition(addition(addition(multiplication(X7,X6),multiplication(c(X7),X6)),multiplication(X6,X7)),multiplication(c(X6),X7)),multiplication(c(X6),c(X7))),one) ) ),
inference(variable_rename,[status(thm)],[75]) ).
fof(77,negated_conjecture,
( test(esk3_0)
& test(esk2_0)
& ( ~ leq(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))))
| ~ leq(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))),one) ) ),
inference(skolemize,[status(esa)],[76]) ).
cnf(78,negated_conjecture,
( ~ leq(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))),one)
| ~ leq(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)],[77]) ).
cnf(79,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(80,negated_conjecture,
test(esk3_0),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(81,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[27,33,theory(equality)]) ).
cnf(89,plain,
( addition(X1,esk1_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[56,63,theory(equality)]) ).
cnf(90,plain,
( multiplication(X1,esk1_1(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[58,63,theory(equality)]) ).
cnf(92,plain,
( test(X1)
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[64,51,theory(equality)]) ).
cnf(93,plain,
( addition(X1,X2) = one
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[56,51,theory(equality)]) ).
cnf(94,plain,
( multiplication(X1,X2) = zero
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[58,51,theory(equality)]) ).
cnf(95,plain,
( multiplication(X1,X2) = zero
| c(X1) != X2
| ~ test(X1) ),
inference(spm,[status(thm)],[57,51,theory(equality)]) ).
cnf(118,plain,
addition(X1,X2) = addition(X1,addition(X1,X2)),
inference(spm,[status(thm)],[31,35,theory(equality)]) ).
cnf(120,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[33,31,theory(equality)]) ).
cnf(129,plain,
( multiplication(c(addition(X1,X2)),X3) = multiplication(c(X1),multiplication(c(X2),X3))
| ~ test(X2)
| ~ test(X1) ),
inference(spm,[status(thm)],[37,69,theory(equality)]) ).
cnf(130,plain,
( c(multiplication(X1,X1)) = c(X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[35,72,theory(equality)]) ).
cnf(131,plain,
( addition(c(multiplication(X1,X2)),X3) = addition(c(X1),addition(c(X2),X3))
| ~ test(X2)
| ~ test(X1) ),
inference(spm,[status(thm)],[31,72,theory(equality)]) ).
cnf(134,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[74,66,theory(equality)]) ).
cnf(145,plain,
addition(multiplication(X1,addition(X2,X3)),X4) = addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)),
inference(spm,[status(thm)],[31,74,theory(equality)]) ).
cnf(170,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[29,25,theory(equality)]) ).
cnf(179,plain,
addition(multiplication(addition(X1,X3),X2),X4) = addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)),
inference(spm,[status(thm)],[31,29,theory(equality)]) ).
cnf(201,plain,
( test(X1)
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one ),
inference(spm,[status(thm)],[64,55,theory(equality)]) ).
cnf(205,plain,
( c(X1) = X2
| ~ test(X1)
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| addition(X2,X1) != one ),
inference(spm,[status(thm)],[50,55,theory(equality)]) ).
cnf(206,negated_conjecture,
( ~ leq(one,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)))))
| ~ leq(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))),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)],[78,29,theory(equality)]),33,theory(equality)]),31,theory(equality)]),33,theory(equality)]),31,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(207,negated_conjecture,
( ~ leq(one,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)))))
| ~ leq(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)],[206,29,theory(equality)]),33,theory(equality)]),31,theory(equality)]),33,theory(equality)]),31,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(208,negated_conjecture,
( ~ leq(one,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)))))
| addition(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) != one ),
inference(spm,[status(thm)],[207,42,theory(equality)]) ).
cnf(209,negated_conjecture,
( ~ leq(one,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)))))
| ~ leq(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)],[207,69,theory(equality)]) ).
cnf(210,negated_conjecture,
( ~ leq(one,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)))))
| addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),addition(one,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)],[208,31,theory(equality)]),31,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(211,negated_conjecture,
( ~ leq(one,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)))))
| ~ leq(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)],[209,80,theory(equality)]) ).
cnf(212,negated_conjecture,
( ~ leq(one,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)))))
| ~ leq(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)],[211,79,theory(equality)]) ).
cnf(213,negated_conjecture,
( ~ leq(one,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)))))
| ~ leq(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)],[212,theory(equality)]) ).
cnf(214,negated_conjecture,
( ~ leq(one,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)))))
| addition(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) != one ),
inference(spm,[status(thm)],[213,42,theory(equality)]) ).
cnf(215,negated_conjecture,
( ~ leq(one,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)))))
| addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),addition(one,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)],[214,31,theory(equality)]),31,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(216,negated_conjecture,
( addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),addition(one,multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))) != one
| addition(one,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))))) != 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)))) ),
inference(spm,[status(thm)],[215,42,theory(equality)]) ).
cnf(217,negated_conjecture,
( addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),addition(one,multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))) != one
| addition(one,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))))) != 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)))) ),
inference(spm,[status(thm)],[210,42,theory(equality)]) ).
cnf(229,plain,
( test(c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[92,theory(equality)]) ).
cnf(231,plain,
( one = addition(X1,addition(X2,esk1_1(addition(X1,X2))))
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[31,89,theory(equality)]) ).
cnf(241,plain,
( addition(c(X1),c(X2)) = c(multiplication(multiplication(X1,X1),X2))
| ~ test(X2)
| ~ test(multiplication(X1,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[72,130,theory(equality)]) ).
cnf(246,plain,
( addition(c(X1),c(X2)) = c(multiplication(X1,multiplication(X1,X2)))
| ~ test(X2)
| ~ test(multiplication(X1,X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[241,37,theory(equality)]) ).
cnf(264,plain,
( addition(multiplication(X1,X2),zero) = multiplication(X1,addition(X2,esk1_1(X1)))
| ~ test(X1) ),
inference(spm,[status(thm)],[74,90,theory(equality)]) ).
cnf(270,plain,
( multiplication(X1,X2) = multiplication(X1,addition(X2,esk1_1(X1)))
| ~ test(X1) ),
inference(rw,[status(thm)],[264,27,theory(equality)]) ).
cnf(318,plain,
( addition(c(X1),X1) = one
| ~ test(X1) ),
inference(er,[status(thm)],[93,theory(equality)]) ).
cnf(321,plain,
( addition(X1,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[318,33,theory(equality)]) ).
cnf(322,plain,
( addition(one,X2) = addition(X1,addition(c(X1),X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[31,321,theory(equality)]) ).
cnf(323,plain,
( one = addition(X1,addition(X2,c(addition(X1,X2))))
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[31,321,theory(equality)]) ).
cnf(324,plain,
( one = c(zero)
| ~ test(zero) ),
inference(spm,[status(thm)],[81,321,theory(equality)]) ).
cnf(325,plain,
( one = c(multiplication(X1,c(X1)))
| ~ test(c(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[72,321,theory(equality)]) ).
cnf(326,negated_conjecture,
( ~ leq(one,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)))))
| ~ leq(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)],[207,321,theory(equality)]) ).
cnf(332,plain,
( addition(multiplication(X1,X1),c(X1)) = one
| ~ test(multiplication(X1,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[321,130,theory(equality)]) ).
cnf(334,negated_conjecture,
( ~ leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))))
| ~ leq(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(rw,[status(thm)],[inference(rw,[status(thm)],[326,25,theory(equality)]),33,theory(equality)]) ).
cnf(335,negated_conjecture,
( ~ leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))))
| ~ leq(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)],[334,25,theory(equality)]),33,theory(equality)]) ).
cnf(336,negated_conjecture,
( ~ leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))))
| ~ leq(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)],[335,80,theory(equality)]) ).
cnf(337,negated_conjecture,
( ~ leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))))
| ~ leq(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)],[336,theory(equality)]) ).
cnf(364,plain,
( c(zero) = one
| c(zero) = zero ),
inference(spm,[status(thm)],[324,46,theory(equality)]) ).
cnf(365,plain,
( c(zero) = zero
| one != zero ),
inference(ef,[status(thm)],[364,theory(equality)]) ).
cnf(370,plain,
( test(X1)
| c(zero) = zero
| one != X1
| ~ test(zero) ),
inference(spm,[status(thm)],[92,364,theory(equality)]) ).
cnf(384,plain,
( multiplication(zero,c(X1)) = c(addition(zero,X1))
| ~ test(X1)
| ~ test(zero)
| one != zero ),
inference(spm,[status(thm)],[69,365,theory(equality)]) ).
cnf(392,plain,
( zero = c(addition(zero,X1))
| ~ test(X1)
| ~ test(zero)
| one != zero ),
inference(rw,[status(thm)],[384,39,theory(equality)]) ).
cnf(393,plain,
( zero = c(X1)
| ~ test(X1)
| ~ test(zero)
| one != zero ),
inference(rw,[status(thm)],[392,81,theory(equality)]) ).
cnf(402,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[94,theory(equality)]) ).
cnf(421,plain,
( c(X1) = zero
| one != zero
| ~ test(zero) ),
inference(csr,[status(thm)],[393,46]) ).
cnf(424,plain,
( zero = c(one)
| ~ test(one) ),
inference(spm,[status(thm)],[66,402,theory(equality)]) ).
cnf(425,plain,
( multiplication(zero,X2) = multiplication(c(X1),multiplication(X1,X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[37,402,theory(equality)]) ).
cnf(426,plain,
( addition(zero,multiplication(c(X1),X2)) = multiplication(c(X1),addition(X1,X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[74,402,theory(equality)]) ).
cnf(427,plain,
( addition(multiplication(c(X1),X2),zero) = multiplication(c(X1),addition(X2,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[74,402,theory(equality)]) ).
cnf(428,plain,
( addition(zero,multiplication(X2,X1)) = multiplication(addition(c(X1),X2),X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[29,402,theory(equality)]) ).
cnf(435,plain,
( zero = multiplication(c(X1),multiplication(X1,X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[425,39,theory(equality)]) ).
cnf(436,plain,
( multiplication(c(X1),X2) = multiplication(c(X1),addition(X1,X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[426,81,theory(equality)]) ).
cnf(437,plain,
( multiplication(c(X1),X2) = multiplication(c(X1),addition(X2,X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[427,27,theory(equality)]) ).
cnf(438,plain,
( multiplication(X2,X1) = multiplication(addition(c(X1),X2),X1)
| ~ test(X1) ),
inference(rw,[status(thm)],[428,81,theory(equality)]) ).
cnf(444,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[95,theory(equality)]) ).
cnf(457,plain,
c(one) = zero,
inference(csr,[status(thm)],[424,46]) ).
cnf(462,plain,
( test(X1)
| zero != X1
| ~ test(one) ),
inference(spm,[status(thm)],[92,457,theory(equality)]) ).
cnf(463,plain,
( test(zero)
| ~ test(one) ),
inference(spm,[status(thm)],[229,457,theory(equality)]) ).
cnf(464,plain,
( addition(X1,one) = one
| zero != X1
| ~ test(one) ),
inference(spm,[status(thm)],[93,457,theory(equality)]) ).
cnf(529,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[118,33,theory(equality)]) ).
cnf(532,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[118,89,theory(equality)]) ).
cnf(591,negated_conjecture,
addition(esk2_0,one) = one,
inference(spm,[status(thm)],[532,79,theory(equality)]) ).
cnf(592,negated_conjecture,
addition(esk3_0,one) = one,
inference(spm,[status(thm)],[532,80,theory(equality)]) ).
cnf(599,negated_conjecture,
addition(one,X1) = addition(esk2_0,addition(one,X1)),
inference(spm,[status(thm)],[31,591,theory(equality)]) ).
cnf(604,negated_conjecture,
addition(one,X1) = addition(esk3_0,addition(one,X1)),
inference(spm,[status(thm)],[31,592,theory(equality)]) ).
cnf(831,negated_conjecture,
( ~ leq(one,addition(esk2_0,addition(multiplication(esk2_0,esk3_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0))))))
| ~ leq(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[337,120,theory(equality)]),74,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]) ).
cnf(832,negated_conjecture,
( ~ leq(one,addition(esk2_0,addition(multiplication(esk2_0,esk3_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0))))))
| ~ leq(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)],[831,120,theory(equality)]),74,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]) ).
cnf(837,negated_conjecture,
( addition(one,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))))) != 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))))
| addition(one,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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[217,120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),31,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]) ).
cnf(838,negated_conjecture,
( addition(one,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))))) != 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))))
| addition(one,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(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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[216,120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),31,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]) ).
cnf(1123,negated_conjecture,
addition(esk2_0,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[599,33,theory(equality)]) ).
cnf(1216,negated_conjecture,
addition(esk3_0,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[604,33,theory(equality)]) ).
cnf(1218,negated_conjecture,
addition(X1,addition(one,X2)) = addition(addition(one,X2),addition(X1,esk3_0)),
inference(spm,[status(thm)],[120,604,theory(equality)]) ).
cnf(1238,negated_conjecture,
addition(X1,addition(one,X2)) = addition(one,addition(X2,addition(X1,esk3_0))),
inference(rw,[status(thm)],[1218,31,theory(equality)]) ).
cnf(1734,plain,
( addition(c(X1),one) = addition(c(multiplication(X1,X2)),c(c(X2)))
| ~ test(X2)
| ~ test(X1)
| ~ test(c(X2)) ),
inference(spm,[status(thm)],[131,321,theory(equality)]) ).
cnf(1765,plain,
( addition(one,c(X1)) = addition(c(multiplication(X1,X2)),c(c(X2)))
| ~ test(X2)
| ~ test(X1)
| ~ test(c(X2)) ),
inference(rw,[status(thm)],[1734,33,theory(equality)]) ).
cnf(1847,plain,
( c(zero) = zero
| test(X1)
| one != X1 ),
inference(csr,[status(thm)],[370,46]) ).
cnf(1910,plain,
( addition(X1,zero) = multiplication(X1,addition(one,c(X1)))
| ~ test(X1) ),
inference(spm,[status(thm)],[134,444,theory(equality)]) ).
cnf(1939,plain,
( X1 = multiplication(X1,addition(one,c(X1)))
| ~ test(X1) ),
inference(rw,[status(thm)],[1910,27,theory(equality)]) ).
cnf(2025,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)],[129,1939,theory(equality)]) ).
cnf(2053,plain,
( c(multiplication(X1,c(X1))) = one
| ~ test(X1) ),
inference(csr,[status(thm)],[325,229]) ).
cnf(2074,plain,
( c(zero) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[2053,444,theory(equality)]) ).
cnf(2122,negated_conjecture,
c(zero) = one,
inference(spm,[status(thm)],[2074,79,theory(equality)]) ).
cnf(2134,negated_conjecture,
( test(one)
| ~ test(zero) ),
inference(spm,[status(thm)],[229,2122,theory(equality)]) ).
cnf(2153,plain,
( one = zero
| test(X1)
| one != X1 ),
inference(rw,[status(thm)],[1847,2122,theory(equality)]) ).
cnf(2206,plain,
( addition(X1,one) = one
| one = zero
| one != X1 ),
inference(spm,[status(thm)],[532,2153,theory(equality)]) ).
cnf(2286,negated_conjecture,
( addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0)))))) != 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))))
| addition(one,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)],[837,145,theory(equality)]),33,theory(equality)]) ).
cnf(2287,negated_conjecture,
( addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0)))))) != addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0)))))
| addition(one,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)],[2286,145,theory(equality)]),33,theory(equality)]) ).
cnf(2288,negated_conjecture,
( addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0)))))) != addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0)))))
| addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0)))))) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2287,145,theory(equality)]),33,theory(equality)]) ).
cnf(2626,plain,
( one = addition(one,X1)
| one = zero
| one != X1 ),
inference(spm,[status(thm)],[33,2206,theory(equality)]) ).
cnf(2669,negated_conjecture,
( one = zero
| one != 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)))) ),
inference(spm,[status(thm)],[838,2626,theory(equality)]) ).
cnf(2676,negated_conjecture,
( one = zero
| one != addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0))))) ),
inference(spm,[status(thm)],[2288,2626,theory(equality)]) ).
cnf(2910,negated_conjecture,
( one = zero
| 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)],[2669,321,theory(equality)]) ).
cnf(2914,negated_conjecture,
( one = zero
| addition(esk2_0,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),c(addition(esk2_0,esk3_0))))) != one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2910,25,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]) ).
cnf(2915,negated_conjecture,
( one = zero
| addition(esk2_0,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),c(addition(esk2_0,esk3_0))))) != one
| $false ),
inference(rw,[status(thm)],[2914,80,theory(equality)]) ).
cnf(2916,negated_conjecture,
( one = zero
| addition(esk2_0,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),c(addition(esk2_0,esk3_0))))) != one ),
inference(cn,[status(thm)],[2915,theory(equality)]) ).
cnf(3513,negated_conjecture,
( one = zero
| 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)],[2916,179,theory(equality)]),33,theory(equality)]) ).
cnf(3601,negated_conjecture,
( one = zero
| addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk3_0))) != one
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[3513,321,theory(equality)]) ).
cnf(3604,negated_conjecture,
( one = zero
| addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))) != one
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3601,25,theory(equality)]),33,theory(equality)]) ).
cnf(3605,negated_conjecture,
( one = zero
| addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))) != one
| $false ),
inference(rw,[status(thm)],[3604,79,theory(equality)]) ).
cnf(3606,negated_conjecture,
( one = zero
| addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))) != one ),
inference(cn,[status(thm)],[3605,theory(equality)]) ).
cnf(4390,plain,
( test(X1)
| multiplication(X1,zero) != zero
| multiplication(zero,X1) != zero
| X1 != one ),
inference(spm,[status(thm)],[201,27,theory(equality)]) ).
cnf(4429,plain,
( test(X1)
| $false
| multiplication(zero,X1) != zero
| X1 != one ),
inference(rw,[status(thm)],[4390,23,theory(equality)]) ).
cnf(4430,plain,
( test(X1)
| $false
| $false
| X1 != one ),
inference(rw,[status(thm)],[4429,39,theory(equality)]) ).
cnf(4431,plain,
( test(X1)
| X1 != one ),
inference(cn,[status(thm)],[4430,theory(equality)]) ).
cnf(4476,plain,
test(zero),
inference(spm,[status(thm)],[463,4431,theory(equality)]) ).
cnf(4489,negated_conjecture,
( test(one)
| $false ),
inference(rw,[status(thm)],[2134,4476,theory(equality)]) ).
cnf(4490,negated_conjecture,
test(one),
inference(cn,[status(thm)],[4489,theory(equality)]) ).
cnf(4494,plain,
( c(X1) = zero
| one != zero
| $false ),
inference(rw,[status(thm)],[421,4476,theory(equality)]) ).
cnf(4495,plain,
( c(X1) = zero
| one != zero ),
inference(cn,[status(thm)],[4494,theory(equality)]) ).
cnf(4518,plain,
( addition(X1,one) = one
| zero != X1
| $false ),
inference(rw,[status(thm)],[464,4490,theory(equality)]) ).
cnf(4519,plain,
( addition(X1,one) = one
| zero != X1 ),
inference(cn,[status(thm)],[4518,theory(equality)]) ).
cnf(4520,plain,
( test(X1)
| zero != X1
| $false ),
inference(rw,[status(thm)],[462,4490,theory(equality)]) ).
cnf(4521,plain,
( test(X1)
| zero != X1 ),
inference(cn,[status(thm)],[4520,theory(equality)]) ).
cnf(4541,plain,
( addition(X1,zero) = one
| ~ test(X1)
| one != zero ),
inference(spm,[status(thm)],[321,4495,theory(equality)]) ).
cnf(4547,negated_conjecture,
( ~ leq(one,addition(esk2_0,addition(multiplication(esk2_0,esk3_0),multiplication(zero,addition(esk3_0,c(esk3_0))))))
| ~ leq(addition(esk2_0,addition(multiplication(esk2_0,esk3_0),multiplication(zero,addition(esk3_0,c(esk3_0))))),one)
| one != zero ),
inference(spm,[status(thm)],[832,4495,theory(equality)]) ).
cnf(4623,plain,
( X1 = one
| ~ test(X1)
| one != zero ),
inference(rw,[status(thm)],[4541,27,theory(equality)]) ).
cnf(4627,negated_conjecture,
( ~ leq(one,esk2_0)
| ~ leq(addition(esk2_0,addition(multiplication(esk2_0,esk3_0),multiplication(zero,addition(esk3_0,c(esk3_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)],[4547,39,theory(equality)]),27,theory(equality)]),134,theory(equality)]),33,theory(equality)]),592,theory(equality)]),66,theory(equality)]) ).
cnf(4628,negated_conjecture,
( ~ leq(one,esk2_0)
| ~ leq(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)],[4627,39,theory(equality)]),27,theory(equality)]),134,theory(equality)]),33,theory(equality)]),592,theory(equality)]),66,theory(equality)]) ).
cnf(4755,negated_conjecture,
( esk2_0 = one
| one != zero ),
inference(spm,[status(thm)],[4623,79,theory(equality)]) ).
cnf(4784,negated_conjecture,
( one != zero
| ~ leq(esk2_0,one)
| addition(one,esk2_0) != esk2_0 ),
inference(spm,[status(thm)],[4628,42,theory(equality)]) ).
cnf(4785,negated_conjecture,
( one != zero
| ~ leq(esk2_0,one)
| one != esk2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4784,33,theory(equality)]),591,theory(equality)]) ).
cnf(4786,negated_conjecture,
( one != zero
| one != esk2_0
| addition(esk2_0,one) != one ),
inference(spm,[status(thm)],[4785,42,theory(equality)]) ).
cnf(4787,negated_conjecture,
( one != zero
| one != esk2_0
| $false ),
inference(rw,[status(thm)],[4786,591,theory(equality)]) ).
cnf(4788,negated_conjecture,
( one != zero
| one != esk2_0 ),
inference(cn,[status(thm)],[4787,theory(equality)]) ).
cnf(4789,negated_conjecture,
one != zero,
inference(csr,[status(thm)],[4755,4788]) ).
cnf(5518,plain,
( one = addition(one,X1)
| zero != X1 ),
inference(spm,[status(thm)],[33,4519,theory(equality)]) ).
cnf(5847,plain,
( addition(X1,one) = one
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[118,231,theory(equality)]) ).
cnf(6758,plain,
( c(X1) = one
| multiplication(one,X1) != zero
| multiplication(X1,one) != zero
| ~ test(X1)
| zero != X1 ),
inference(spm,[status(thm)],[205,5518,theory(equality)]) ).
cnf(6800,plain,
( c(X1) = one
| X1 != zero
| multiplication(X1,one) != zero
| ~ test(X1)
| zero != X1 ),
inference(rw,[status(thm)],[6758,25,theory(equality)]) ).
cnf(6801,plain,
( c(X1) = one
| X1 != zero
| X1 != zero
| ~ test(X1)
| zero != X1 ),
inference(rw,[status(thm)],[6800,66,theory(equality)]) ).
cnf(6802,plain,
( c(X1) = one
| X1 != zero
| ~ test(X1) ),
inference(cn,[status(thm)],[6801,theory(equality)]) ).
cnf(6813,plain,
( c(X1) = one
| X1 != zero ),
inference(csr,[status(thm)],[6802,4521]) ).
cnf(7670,plain,
( multiplication(X1,one) = multiplication(X1,X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[270,89,theory(equality)]) ).
cnf(7711,plain,
( X1 = multiplication(X1,X1)
| ~ test(X1) ),
inference(rw,[status(thm)],[7670,66,theory(equality)]) ).
cnf(7855,plain,
( addition(X1,one) = one
| ~ test(addition(X2,X1)) ),
inference(spm,[status(thm)],[5847,529,theory(equality)]) ).
cnf(8587,plain,
( addition(X1,one) = one
| c(addition(X2,X1)) = zero ),
inference(spm,[status(thm)],[7855,46,theory(equality)]) ).
cnf(8925,negated_conjecture,
( addition(one,one) = addition(c(esk2_0),one)
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[1123,322,theory(equality)]) ).
cnf(8926,negated_conjecture,
( addition(one,one) = addition(c(esk3_0),one)
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[1216,322,theory(equality)]) ).
cnf(9023,negated_conjecture,
( one = addition(c(esk2_0),one)
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[8925,35,theory(equality)]) ).
cnf(9024,negated_conjecture,
( one = addition(one,c(esk2_0))
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[9023,33,theory(equality)]) ).
cnf(9025,negated_conjecture,
( one = addition(one,c(esk2_0))
| $false ),
inference(rw,[status(thm)],[9024,79,theory(equality)]) ).
cnf(9026,negated_conjecture,
one = addition(one,c(esk2_0)),
inference(cn,[status(thm)],[9025,theory(equality)]) ).
cnf(9027,negated_conjecture,
( one = addition(c(esk3_0),one)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[8926,35,theory(equality)]) ).
cnf(9028,negated_conjecture,
( one = addition(one,c(esk3_0))
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[9027,33,theory(equality)]) ).
cnf(9029,negated_conjecture,
( one = addition(one,c(esk3_0))
| $false ),
inference(rw,[status(thm)],[9028,80,theory(equality)]) ).
cnf(9030,negated_conjecture,
one = addition(one,c(esk3_0)),
inference(cn,[status(thm)],[9029,theory(equality)]) ).
cnf(9346,negated_conjecture,
( one = zero
| ~ test(addition(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[3606,323,theory(equality)]) ).
cnf(9479,negated_conjecture,
~ test(addition(esk2_0,esk3_0)),
inference(sr,[status(thm)],[9346,4789,theory(equality)]) ).
cnf(9527,negated_conjecture,
c(addition(esk2_0,esk3_0)) = zero,
inference(spm,[status(thm)],[9479,46,theory(equality)]) ).
cnf(9603,negated_conjecture,
( one = zero
| addition(esk2_0,multiplication(addition(esk2_0,c(esk2_0)),esk3_0)) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3513,9527,theory(equality)]),81,theory(equality)]) ).
cnf(9604,negated_conjecture,
addition(esk2_0,multiplication(addition(esk2_0,c(esk2_0)),esk3_0)) != one,
inference(sr,[status(thm)],[9603,4789,theory(equality)]) ).
cnf(10035,plain,
( zero = one
| addition(X2,one) = one
| addition(X1,X2) != zero ),
inference(spm,[status(thm)],[6813,8587,theory(equality)]) ).
cnf(10139,plain,
( addition(X2,one) = one
| addition(X1,X2) != zero ),
inference(sr,[status(thm)],[10035,4789,theory(equality)]) ).
cnf(10813,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[7711,79,theory(equality)]) ).
cnf(10814,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[7711,80,theory(equality)]) ).
cnf(10954,negated_conjecture,
( multiplication(c(esk2_0),esk2_0) = zero
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[435,10813,theory(equality)]) ).
cnf(10960,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[332,10813,theory(equality)]) ).
cnf(10978,negated_conjecture,
( multiplication(c(esk2_0),esk2_0) = zero
| $false ),
inference(rw,[status(thm)],[10954,79,theory(equality)]) ).
cnf(10979,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(cn,[status(thm)],[10978,theory(equality)]) ).
cnf(10991,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| $false ),
inference(rw,[status(thm)],[10960,79,theory(equality)]) ).
cnf(10992,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(cn,[status(thm)],[10991,theory(equality)]) ).
cnf(11017,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[332,10814,theory(equality)]) ).
cnf(11048,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| $false ),
inference(rw,[status(thm)],[11017,80,theory(equality)]) ).
cnf(11049,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(cn,[status(thm)],[11048,theory(equality)]) ).
cnf(11079,negated_conjecture,
( multiplication(c(esk2_0),one) = multiplication(c(esk2_0),c(esk2_0))
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[436,10992,theory(equality)]) ).
cnf(11080,negated_conjecture,
( multiplication(c(c(esk2_0)),one) = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[437,10992,theory(equality)]) ).
cnf(11083,negated_conjecture,
addition(esk2_0,esk3_0) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9604,10992,theory(equality)]),25,theory(equality)]) ).
cnf(11146,negated_conjecture,
( c(esk2_0) = multiplication(c(esk2_0),c(esk2_0))
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[11079,66,theory(equality)]) ).
cnf(11147,negated_conjecture,
( c(esk2_0) = multiplication(c(esk2_0),c(esk2_0))
| $false ),
inference(rw,[status(thm)],[11146,79,theory(equality)]) ).
cnf(11148,negated_conjecture,
c(esk2_0) = multiplication(c(esk2_0),c(esk2_0)),
inference(cn,[status(thm)],[11147,theory(equality)]) ).
cnf(11149,negated_conjecture,
( c(c(esk2_0)) = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[11080,66,theory(equality)]) ).
cnf(11182,negated_conjecture,
( multiplication(c(c(esk3_0)),one) = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(c(esk3_0)) ),
inference(spm,[status(thm)],[437,11049,theory(equality)]) ).
cnf(11196,negated_conjecture,
( one = zero
| addition(one,multiplication(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)],[2676,11049,theory(equality)]),25,theory(equality)]),11049,theory(equality)]),66,theory(equality)]),10992,theory(equality)]),33,theory(equality)]) ).
cnf(11197,negated_conjecture,
addition(one,multiplication(esk2_0,esk3_0)) != one,
inference(sr,[status(thm)],[11196,4789,theory(equality)]) ).
cnf(11262,negated_conjecture,
( c(c(esk3_0)) = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[11182,66,theory(equality)]) ).
cnf(11267,negated_conjecture,
multiplication(zero,X1) = multiplication(c(esk2_0),multiplication(esk2_0,X1)),
inference(spm,[status(thm)],[37,10979,theory(equality)]) ).
cnf(11295,negated_conjecture,
zero = multiplication(c(esk2_0),multiplication(esk2_0,X1)),
inference(rw,[status(thm)],[11267,39,theory(equality)]) ).
cnf(12206,negated_conjecture,
( multiplication(one,multiplication(esk2_0,X1)) = zero
| esk2_0 != zero ),
inference(spm,[status(thm)],[11295,6813,theory(equality)]) ).
cnf(12288,negated_conjecture,
( multiplication(esk2_0,X1) = zero
| esk2_0 != zero ),
inference(rw,[status(thm)],[12206,25,theory(equality)]) ).
cnf(12326,negated_conjecture,
( addition(one,zero) != one
| zero != esk2_0 ),
inference(spm,[status(thm)],[11197,12288,theory(equality)]) ).
cnf(12379,negated_conjecture,
( $false
| zero != esk2_0 ),
inference(rw,[status(thm)],[12326,27,theory(equality)]) ).
cnf(12380,negated_conjecture,
zero != esk2_0,
inference(cn,[status(thm)],[12379,theory(equality)]) ).
cnf(17449,plain,
( addition(addition(X1,X2),one) = one
| addition(X1,X2) != zero ),
inference(spm,[status(thm)],[10139,118,theory(equality)]) ).
cnf(17505,plain,
( addition(X1,addition(X2,one)) = one
| addition(X1,X2) != zero ),
inference(rw,[status(thm)],[17449,31,theory(equality)]) ).
cnf(28449,plain,
( one = addition(addition(X2,one),X1)
| addition(X1,X2) != zero ),
inference(spm,[status(thm)],[33,17505,theory(equality)]) ).
cnf(28570,plain,
( one = addition(X2,addition(one,X1))
| addition(X1,X2) != zero ),
inference(rw,[status(thm)],[28449,31,theory(equality)]) ).
cnf(28986,negated_conjecture,
( addition(one,one) = addition(one,addition(one,X1))
| addition(esk3_0,X1) != zero ),
inference(spm,[status(thm)],[1238,28570,theory(equality)]) ).
cnf(29153,negated_conjecture,
( one = addition(one,addition(one,X1))
| addition(esk3_0,X1) != zero ),
inference(rw,[status(thm)],[28986,35,theory(equality)]) ).
cnf(29154,negated_conjecture,
( one = addition(one,X1)
| addition(esk3_0,X1) != zero ),
inference(rw,[status(thm)],[29153,118,theory(equality)]) ).
cnf(29657,negated_conjecture,
addition(esk3_0,multiplication(esk2_0,esk3_0)) != zero,
inference(spm,[status(thm)],[11197,29154,theory(equality)]) ).
cnf(29780,negated_conjecture,
esk3_0 != zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[29657,170,theory(equality)]),33,theory(equality)]),591,theory(equality)]),25,theory(equality)]) ).
cnf(53080,plain,
( addition(c(multiplication(X1,X2)),c(c(X2))) = addition(one,c(X1))
| ~ test(X2)
| ~ test(X1) ),
inference(csr,[status(thm)],[1765,229]) ).
cnf(53096,negated_conjecture,
( addition(c(esk2_0),c(c(esk2_0))) = addition(one,c(esk2_0))
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[53080,10813,theory(equality)]) ).
cnf(53097,negated_conjecture,
( addition(c(esk3_0),c(c(esk3_0))) = addition(one,c(esk3_0))
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[53080,10814,theory(equality)]) ).
cnf(53328,negated_conjecture,
( addition(c(esk2_0),c(c(esk2_0))) = one
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[53096,9026,theory(equality)]) ).
cnf(53329,negated_conjecture,
( addition(c(esk2_0),c(c(esk2_0))) = one
| $false ),
inference(rw,[status(thm)],[53328,79,theory(equality)]) ).
cnf(53330,negated_conjecture,
addition(c(esk2_0),c(c(esk2_0))) = one,
inference(cn,[status(thm)],[53329,theory(equality)]) ).
cnf(53331,negated_conjecture,
( addition(c(esk3_0),c(c(esk3_0))) = one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[53097,9030,theory(equality)]) ).
cnf(53332,negated_conjecture,
( addition(c(esk3_0),c(c(esk3_0))) = one
| $false ),
inference(rw,[status(thm)],[53331,80,theory(equality)]) ).
cnf(53333,negated_conjecture,
addition(c(esk3_0),c(c(esk3_0))) = one,
inference(cn,[status(thm)],[53332,theory(equality)]) ).
cnf(53591,negated_conjecture,
( multiplication(one,esk2_0) = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[438,53330,theory(equality)]) ).
cnf(53699,negated_conjecture,
( esk2_0 = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[53591,25,theory(equality)]) ).
cnf(53700,negated_conjecture,
( esk2_0 = multiplication(c(c(esk2_0)),esk2_0)
| $false ),
inference(rw,[status(thm)],[53699,79,theory(equality)]) ).
cnf(53701,negated_conjecture,
esk2_0 = multiplication(c(c(esk2_0)),esk2_0),
inference(cn,[status(thm)],[53700,theory(equality)]) ).
cnf(54072,negated_conjecture,
( esk2_0 = c(c(esk2_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[11149,53701,theory(equality)]) ).
cnf(54166,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[54072,229,theory(equality)]) ).
cnf(54175,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| $false ),
inference(rw,[status(thm)],[54166,79,theory(equality)]) ).
cnf(54176,negated_conjecture,
c(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[54175,theory(equality)]) ).
cnf(55096,negated_conjecture,
( multiplication(one,esk3_0) = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[438,53333,theory(equality)]) ).
cnf(55206,negated_conjecture,
( esk3_0 = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[55096,25,theory(equality)]) ).
cnf(55207,negated_conjecture,
( esk3_0 = multiplication(c(c(esk3_0)),esk3_0)
| $false ),
inference(rw,[status(thm)],[55206,80,theory(equality)]) ).
cnf(55208,negated_conjecture,
esk3_0 = multiplication(c(c(esk3_0)),esk3_0),
inference(cn,[status(thm)],[55207,theory(equality)]) ).
cnf(55862,negated_conjecture,
( esk3_0 = c(c(esk3_0))
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[11262,55208,theory(equality)]) ).
cnf(55961,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[55862,229,theory(equality)]) ).
cnf(55971,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| $false ),
inference(rw,[status(thm)],[55961,80,theory(equality)]) ).
cnf(55972,negated_conjecture,
c(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[55971,theory(equality)]) ).
cnf(84664,plain,
( multiplication(c(addition(X1,X2)),addition(one,c(c(X2)))) = multiplication(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(csr,[status(thm)],[2025,229]) ).
cnf(84714,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)],[84664,9527,theory(equality)]) ).
cnf(85057,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)],[84714,55972,theory(equality)]),33,theory(equality)]),592,theory(equality)]),39,theory(equality)]) ).
cnf(85058,negated_conjecture,
( zero = multiplication(c(esk2_0),c(esk3_0))
| $false
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[85057,80,theory(equality)]) ).
cnf(85059,negated_conjecture,
( zero = multiplication(c(esk2_0),c(esk3_0))
| $false
| $false ),
inference(rw,[status(thm)],[85058,79,theory(equality)]) ).
cnf(85060,negated_conjecture,
zero = multiplication(c(esk2_0),c(esk3_0)),
inference(cn,[status(thm)],[85059,theory(equality)]) ).
cnf(85442,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)],[246,85060,theory(equality)]) ).
cnf(85548,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)],[85442,54176,theory(equality)]),55972,theory(equality)]) ).
cnf(85549,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)],[85548,23,theory(equality)]),2122,theory(equality)]) ).
cnf(85550,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| ~ test(c(esk2_0))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[85549,11148,theory(equality)]) ).
cnf(85551,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| ~ test(c(esk2_0))
| ~ test(c(esk3_0)) ),
inference(cn,[status(thm)],[85550,theory(equality)]) ).
cnf(85552,negated_conjecture,
( ~ test(c(esk2_0))
| ~ test(c(esk3_0)) ),
inference(sr,[status(thm)],[85551,11083,theory(equality)]) ).
cnf(85644,negated_conjecture,
( c(c(esk3_0)) = zero
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[85552,46,theory(equality)]) ).
cnf(85656,negated_conjecture,
( esk3_0 = zero
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[85644,55972,theory(equality)]) ).
cnf(85657,negated_conjecture,
~ test(c(esk2_0)),
inference(sr,[status(thm)],[85656,29780,theory(equality)]) ).
cnf(85675,negated_conjecture,
c(c(esk2_0)) = zero,
inference(spm,[status(thm)],[85657,46,theory(equality)]) ).
cnf(85687,negated_conjecture,
esk2_0 = zero,
inference(rw,[status(thm)],[85675,54176,theory(equality)]) ).
cnf(85688,negated_conjecture,
$false,
inference(sr,[status(thm)],[85687,12380,theory(equality)]) ).
cnf(85689,negated_conjecture,
$false,
85688,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE010+4.p
% --creating new selector for [KLE001+0.ax, KLE001+1.ax, KLE001+2.ax]
% -running prover on /tmp/tmpGzd4zD/sel_KLE010+4.p_1 with time limit 29
% -prover status Theorem
% Problem KLE010+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE010+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE010+4.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
%
%------------------------------------------------------------------------------