%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE011+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 11:40:52 EST 2010
% Result : Theorem 3.65s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 19
% Syntax : Number of formulae : 393 ( 83 unt; 0 def)
% Number of atoms : 951 ( 498 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1090 ( 532 ~; 515 |; 32 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 280 ( 10 sgn 91 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',right_annihilation) ).
fof(2,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',multiplicative_left_identity) ).
fof(3,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpNyoPut/sel_KLE011+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/tmpNyoPut/sel_KLE011+4.p_1',left_distributivity) ).
fof(5,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',additive_associativity) ).
fof(6,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',additive_commutativity) ).
fof(7,axiom,
! [X1] : addition(X1,X1) = X1,
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',additive_idempotence) ).
fof(8,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',multiplicative_associativity) ).
fof(9,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',left_annihilation) ).
fof(10,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',order) ).
fof(11,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',test_4) ).
fof(12,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/tmp/tmpNyoPut/sel_KLE011+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/tmpNyoPut/sel_KLE011+4.p_1',test_2) ).
fof(14,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',test_1) ).
fof(15,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmpNyoPut/sel_KLE011+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/tmpNyoPut/sel_KLE011+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/tmpNyoPut/sel_KLE011+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/tmpNyoPut/sel_KLE011+4.p_1',right_distributivity) ).
fof(19,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(one,addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))))
& leq(addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))),one) ) ),
file('/tmp/tmpNyoPut/sel_KLE011+4.p_1',goals) ).
fof(20,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(one,addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))))
& leq(addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,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(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))))
| ~ leq(addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,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(multiplication(addition(X7,c(X7)),X6),multiplication(addition(X6,c(X6)),X7)),multiplication(c(X6),c(X7))))
| ~ leq(addition(addition(multiplication(addition(X7,c(X7)),X6),multiplication(addition(X6,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(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))))
| ~ leq(addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))),one) ) ),
inference(skolemize,[status(esa)],[76]) ).
cnf(78,negated_conjecture,
( ~ leq(addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))),one)
| ~ leq(one,addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0)))) ),
inference(split_conjunct,[status(thm)],[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(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(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))),one) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[78,33,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(207,negated_conjecture,
( ~ leq(one,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[206,33,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(208,negated_conjecture,
( ~ leq(one,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| addition(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one) != one ),
inference(spm,[status(thm)],[207,42,theory(equality)]) ).
cnf(209,negated_conjecture,
( ~ leq(one,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)
| ~ test(esk3_0)
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[207,69,theory(equality)]) ).
cnf(210,negated_conjecture,
( ~ leq(one,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| addition(multiplication(addition(esk2_0,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)],[208,31,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(211,negated_conjecture,
( ~ leq(one,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)
| $false
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[209,80,theory(equality)]) ).
cnf(212,negated_conjecture,
( ~ leq(one,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)
| $false
| $false ),
inference(rw,[status(thm)],[211,79,theory(equality)]) ).
cnf(213,negated_conjecture,
( ~ leq(one,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one) ),
inference(cn,[status(thm)],[212,theory(equality)]) ).
cnf(214,negated_conjecture,
( ~ leq(one,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| addition(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one) != one ),
inference(spm,[status(thm)],[213,42,theory(equality)]) ).
cnf(215,negated_conjecture,
( ~ leq(one,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| addition(multiplication(addition(esk2_0,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)],[214,31,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(216,negated_conjecture,
( addition(multiplication(addition(esk2_0,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(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))) != addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) ),
inference(spm,[status(thm)],[215,42,theory(equality)]) ).
cnf(217,negated_conjecture,
( addition(multiplication(addition(esk2_0,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(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))) != addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) ),
inference(spm,[status(thm)],[210,42,theory(equality)]) ).
cnf(229,plain,
( test(c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[92,theory(equality)]) ).
cnf(237,plain,
( c(multiplication(X1,multiplication(X2,multiplication(X1,X2)))) = c(multiplication(X1,X2))
| ~ test(multiplication(X1,X2)) ),
inference(spm,[status(thm)],[130,37,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(one,esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(multiplication(one,esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[207,321,theory(equality)]) ).
cnf(328,negated_conjecture,
( ~ leq(one,addition(multiplication(one,esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(multiplication(one,esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[213,321,theory(equality)]) ).
cnf(338,plain,
( addition(multiplication(X1,X1),c(X1)) = one
| ~ test(multiplication(X1,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[321,130,theory(equality)]) ).
cnf(340,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(multiplication(one,esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[326,25,theory(equality)]) ).
cnf(341,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[340,25,theory(equality)]) ).
cnf(342,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)
| $false ),
inference(rw,[status(thm)],[341,79,theory(equality)]) ).
cnf(343,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one) ),
inference(cn,[status(thm)],[342,theory(equality)]) ).
cnf(348,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(multiplication(one,esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[328,25,theory(equality)]) ).
cnf(349,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(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)],[348,25,theory(equality)]) ).
cnf(350,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(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)],[349,79,theory(equality)]) ).
cnf(351,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))
| ~ leq(addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one) ),
inference(cn,[status(thm)],[350,theory(equality)]) ).
cnf(394,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk2_0))))
| ~ leq(addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk2_0))),one)
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[351,321,theory(equality)]) ).
cnf(396,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))))
| ~ leq(addition(esk3_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk2_0))),one)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[394,25,theory(equality)]),33,theory(equality)]) ).
cnf(397,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))))
| ~ leq(addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))),one)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[396,25,theory(equality)]),33,theory(equality)]) ).
cnf(398,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))))
| ~ leq(addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))),one)
| $false ),
inference(rw,[status(thm)],[397,80,theory(equality)]) ).
cnf(399,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))))
| ~ leq(addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))),one) ),
inference(cn,[status(thm)],[398,theory(equality)]) ).
cnf(400,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))))
| addition(addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))),one) != one ),
inference(spm,[status(thm)],[399,42,theory(equality)]) ).
cnf(401,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))))
| addition(esk3_0,addition(esk2_0,addition(one,c(addition(esk2_0,esk3_0))))) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[400,31,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(402,negated_conjecture,
( addition(esk3_0,addition(esk2_0,addition(one,c(addition(esk2_0,esk3_0))))) != one
| addition(one,addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0))))) != addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[401,42,theory(equality)]) ).
cnf(403,plain,
( c(zero) = one
| c(zero) = zero ),
inference(spm,[status(thm)],[324,46,theory(equality)]) ).
cnf(404,plain,
( c(zero) = zero
| one != zero ),
inference(ef,[status(thm)],[403,theory(equality)]) ).
cnf(409,plain,
( test(X1)
| c(zero) = zero
| one != X1
| ~ test(zero) ),
inference(spm,[status(thm)],[92,403,theory(equality)]) ).
cnf(425,plain,
( addition(zero,c(X1)) = c(multiplication(zero,X1))
| ~ test(X1)
| ~ test(zero)
| one != zero ),
inference(spm,[status(thm)],[72,404,theory(equality)]) ).
cnf(435,plain,
( c(X1) = c(multiplication(zero,X1))
| ~ test(X1)
| ~ test(zero)
| one != zero ),
inference(rw,[status(thm)],[425,81,theory(equality)]) ).
cnf(436,plain,
( c(X1) = c(zero)
| ~ test(X1)
| ~ test(zero)
| one != zero ),
inference(rw,[status(thm)],[435,39,theory(equality)]) ).
cnf(441,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[94,theory(equality)]) ).
cnf(465,plain,
( zero = c(one)
| ~ test(one) ),
inference(spm,[status(thm)],[66,441,theory(equality)]) ).
cnf(466,plain,
( multiplication(zero,X2) = multiplication(c(X1),multiplication(X1,X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[37,441,theory(equality)]) ).
cnf(467,plain,
( addition(zero,multiplication(c(X1),X2)) = multiplication(c(X1),addition(X1,X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[74,441,theory(equality)]) ).
cnf(468,plain,
( addition(multiplication(c(X1),X2),zero) = multiplication(c(X1),addition(X2,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[74,441,theory(equality)]) ).
cnf(469,plain,
( addition(zero,multiplication(X2,X1)) = multiplication(addition(c(X1),X2),X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[29,441,theory(equality)]) ).
cnf(476,plain,
( zero = multiplication(c(X1),multiplication(X1,X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[466,39,theory(equality)]) ).
cnf(477,plain,
( multiplication(c(X1),X2) = multiplication(c(X1),addition(X1,X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[467,81,theory(equality)]) ).
cnf(478,plain,
( multiplication(c(X1),X2) = multiplication(c(X1),addition(X2,X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[468,27,theory(equality)]) ).
cnf(479,plain,
( multiplication(X2,X1) = multiplication(addition(c(X1),X2),X1)
| ~ test(X1) ),
inference(rw,[status(thm)],[469,81,theory(equality)]) ).
cnf(485,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[95,theory(equality)]) ).
cnf(500,plain,
c(one) = zero,
inference(csr,[status(thm)],[465,46]) ).
cnf(505,plain,
( test(X1)
| zero != X1
| ~ test(one) ),
inference(spm,[status(thm)],[92,500,theory(equality)]) ).
cnf(506,plain,
( test(zero)
| ~ test(one) ),
inference(spm,[status(thm)],[229,500,theory(equality)]) ).
cnf(507,plain,
( addition(X1,one) = one
| zero != X1
| ~ test(one) ),
inference(spm,[status(thm)],[93,500,theory(equality)]) ).
cnf(536,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(one,esk2_0))))
| ~ leq(addition(esk3_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(one,esk2_0))),one)
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[343,321,theory(equality)]) ).
cnf(541,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))))
| ~ leq(addition(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)],[536,25,theory(equality)]),33,theory(equality)]) ).
cnf(542,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))))
| ~ leq(addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))),one)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[541,25,theory(equality)]),33,theory(equality)]) ).
cnf(543,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))))
| ~ leq(addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))),one)
| $false ),
inference(rw,[status(thm)],[542,80,theory(equality)]) ).
cnf(544,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))))
| ~ leq(addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))),one) ),
inference(cn,[status(thm)],[543,theory(equality)]) ).
cnf(545,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))))
| addition(addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))),one) != one ),
inference(spm,[status(thm)],[544,42,theory(equality)]) ).
cnf(547,negated_conjecture,
( ~ leq(one,addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0)))))
| addition(esk3_0,addition(esk2_0,addition(one,multiplication(c(esk2_0),c(esk3_0))))) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[545,31,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(558,plain,
( multiplication(zero,X2) = multiplication(X1,multiplication(c(X1),X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[37,485,theory(equality)]) ).
cnf(570,plain,
( zero = multiplication(X1,multiplication(c(X1),X2))
| ~ test(X1) ),
inference(rw,[status(thm)],[558,39,theory(equality)]) ).
cnf(675,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[118,89,theory(equality)]) ).
cnf(753,negated_conjecture,
( addition(esk2_0,addition(esk3_0,addition(one,multiplication(c(esk2_0),c(esk3_0))))) != one
| ~ leq(one,addition(esk3_0,addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[547,120,theory(equality)]),31,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]) ).
cnf(754,negated_conjecture,
( addition(esk2_0,addition(esk3_0,addition(one,multiplication(c(esk2_0),c(esk3_0))))) != one
| ~ leq(one,addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[753,120,theory(equality)]),33,theory(equality)]) ).
cnf(762,negated_conjecture,
( addition(esk2_0,addition(esk3_0,addition(one,c(addition(esk2_0,esk3_0))))) != addition(esk3_0,addition(esk2_0,c(addition(esk2_0,esk3_0))))
| addition(esk3_0,addition(esk2_0,addition(one,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)],[402,120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(763,negated_conjecture,
( addition(esk2_0,addition(esk3_0,addition(one,c(addition(esk2_0,esk3_0))))) != addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))
| addition(esk3_0,addition(esk2_0,addition(one,c(addition(esk2_0,esk3_0))))) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[762,120,theory(equality)]),33,theory(equality)]) ).
cnf(764,negated_conjecture,
( addition(esk2_0,addition(esk3_0,addition(one,c(addition(esk2_0,esk3_0))))) != addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))
| addition(esk2_0,addition(esk3_0,addition(one,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)],[763,120,theory(equality)]),31,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]) ).
cnf(769,negated_conjecture,
( addition(one,addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))) != addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))
| addition(multiplication(addition(esk2_0,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)],[217,120,theory(equality)]),33,theory(equality)]) ).
cnf(770,negated_conjecture,
( addition(one,addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))) != addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))
| addition(multiplication(addition(esk2_0,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)],[769,120,theory(equality)]),33,theory(equality)]) ).
cnf(771,negated_conjecture,
( addition(one,addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))) != addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))
| addition(one,addition(multiplication(c(esk2_0),c(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[770,120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(772,negated_conjecture,
( addition(one,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)))) != addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))
| addition(multiplication(addition(esk2_0,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)],[216,120,theory(equality)]),33,theory(equality)]) ).
cnf(773,negated_conjecture,
( addition(one,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)))) != 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)))
| addition(multiplication(addition(esk2_0,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)],[772,120,theory(equality)]),33,theory(equality)]) ).
cnf(774,negated_conjecture,
( addition(one,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)))) != 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)))
| addition(one,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[773,120,theory(equality)]),33,theory(equality)]),120,theory(equality)]),31,theory(equality)]),33,theory(equality)]) ).
cnf(828,negated_conjecture,
addition(esk2_0,one) = one,
inference(spm,[status(thm)],[675,79,theory(equality)]) ).
cnf(829,negated_conjecture,
addition(esk3_0,one) = one,
inference(spm,[status(thm)],[675,80,theory(equality)]) ).
cnf(831,plain,
( addition(c(X1),one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[675,229,theory(equality)]) ).
cnf(834,plain,
( addition(one,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[831,33,theory(equality)]) ).
cnf(836,negated_conjecture,
addition(one,X1) = addition(esk2_0,addition(one,X1)),
inference(spm,[status(thm)],[31,828,theory(equality)]) ).
cnf(844,negated_conjecture,
addition(one,X1) = addition(esk3_0,addition(one,X1)),
inference(spm,[status(thm)],[31,829,theory(equality)]) ).
cnf(955,negated_conjecture,
( addition(esk2_0,addition(esk3_0,one)) != addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))
| addition(esk2_0,addition(esk3_0,one)) != one
| ~ test(addition(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[764,834,theory(equality)]) ).
cnf(965,negated_conjecture,
( one != addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))
| addition(esk2_0,addition(esk3_0,one)) != one
| ~ test(addition(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[955,829,theory(equality)]),828,theory(equality)]) ).
cnf(966,negated_conjecture,
( one != addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))
| $false
| ~ test(addition(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[965,829,theory(equality)]),828,theory(equality)]) ).
cnf(967,negated_conjecture,
( one != addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))
| ~ test(addition(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[966,theory(equality)]) ).
cnf(1212,negated_conjecture,
addition(esk2_0,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[836,33,theory(equality)]) ).
cnf(1308,negated_conjecture,
addition(esk3_0,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[844,33,theory(equality)]) ).
cnf(1327,negated_conjecture,
( addition(one,multiplication(c(esk2_0),c(esk3_0))) != one
| ~ leq(one,addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[754,844,theory(equality)]),836,theory(equality)]) ).
cnf(1857,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(1888,plain,
( addition(one,c(X1)) = addition(c(multiplication(X1,X2)),c(c(X2)))
| ~ test(X2)
| ~ test(X1)
| ~ test(c(X2)) ),
inference(rw,[status(thm)],[1857,33,theory(equality)]) ).
cnf(1995,plain,
( c(zero) = zero
| test(X1)
| one != X1 ),
inference(csr,[status(thm)],[409,46]) ).
cnf(2026,plain,
( addition(X1,zero) = multiplication(X1,addition(one,c(X1)))
| ~ test(X1) ),
inference(spm,[status(thm)],[134,485,theory(equality)]) ).
cnf(2054,plain,
( X1 = multiplication(X1,addition(one,c(X1)))
| ~ test(X1) ),
inference(rw,[status(thm)],[2026,27,theory(equality)]) ).
cnf(2366,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)],[129,2054,theory(equality)]) ).
cnf(3017,plain,
( c(multiplication(X1,c(X1))) = one
| ~ test(X1) ),
inference(csr,[status(thm)],[325,229]) ).
cnf(3038,plain,
( c(zero) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[3017,485,theory(equality)]) ).
cnf(3100,negated_conjecture,
c(zero) = one,
inference(spm,[status(thm)],[3038,79,theory(equality)]) ).
cnf(3112,negated_conjecture,
( test(one)
| ~ test(zero) ),
inference(spm,[status(thm)],[229,3100,theory(equality)]) ).
cnf(3134,plain,
( c(X1) = one
| one != zero
| ~ test(zero)
| ~ test(X1) ),
inference(rw,[status(thm)],[436,3100,theory(equality)]) ).
cnf(3135,plain,
( one = zero
| test(X1)
| one != X1 ),
inference(rw,[status(thm)],[1995,3100,theory(equality)]) ).
cnf(3195,plain,
( addition(X1,one) = one
| one = zero
| one != X1 ),
inference(spm,[status(thm)],[675,3135,theory(equality)]) ).
cnf(3722,plain,
( one = addition(one,X1)
| one = zero
| one != X1 ),
inference(spm,[status(thm)],[33,3195,theory(equality)]) ).
cnf(3773,negated_conjecture,
( one = zero
| one != addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))) ),
inference(spm,[status(thm)],[771,3722,theory(equality)]) ).
cnf(3774,negated_conjecture,
( one = zero
| one != 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))) ),
inference(spm,[status(thm)],[774,3722,theory(equality)]) ).
cnf(3809,negated_conjecture,
( one = zero
| addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(one,esk2_0))) != one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[3774,321,theory(equality)]) ).
cnf(3816,negated_conjecture,
( one = zero
| addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3809,25,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]) ).
cnf(3817,negated_conjecture,
( one = zero
| addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one
| $false ),
inference(rw,[status(thm)],[3816,80,theory(equality)]) ).
cnf(3818,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(cn,[status(thm)],[3817,theory(equality)]) ).
cnf(3899,negated_conjecture,
( one = zero
| addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(one,esk2_0))) != one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[3773,321,theory(equality)]) ).
cnf(3908,negated_conjecture,
( one = zero
| addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3899,25,theory(equality)]),33,theory(equality)]),120,theory(equality)]),33,theory(equality)]) ).
cnf(3909,negated_conjecture,
( one = zero
| addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one
| $false ),
inference(rw,[status(thm)],[3908,80,theory(equality)]) ).
cnf(3910,negated_conjecture,
( one = zero
| addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one ),
inference(cn,[status(thm)],[3909,theory(equality)]) ).
cnf(4350,plain,
( test(X1)
| multiplication(X1,zero) != zero
| multiplication(zero,X1) != zero
| X1 != one ),
inference(spm,[status(thm)],[201,27,theory(equality)]) ).
cnf(4389,plain,
( test(X1)
| $false
| multiplication(zero,X1) != zero
| X1 != one ),
inference(rw,[status(thm)],[4350,23,theory(equality)]) ).
cnf(4390,plain,
( test(X1)
| $false
| $false
| X1 != one ),
inference(rw,[status(thm)],[4389,39,theory(equality)]) ).
cnf(4391,plain,
( test(X1)
| X1 != one ),
inference(cn,[status(thm)],[4390,theory(equality)]) ).
cnf(4438,plain,
test(zero),
inference(spm,[status(thm)],[506,4391,theory(equality)]) ).
cnf(4449,negated_conjecture,
( test(one)
| $false ),
inference(rw,[status(thm)],[3112,4438,theory(equality)]) ).
cnf(4450,negated_conjecture,
test(one),
inference(cn,[status(thm)],[4449,theory(equality)]) ).
cnf(4451,plain,
( c(X1) = one
| one != zero
| $false
| ~ test(X1) ),
inference(rw,[status(thm)],[3134,4438,theory(equality)]) ).
cnf(4452,plain,
( c(X1) = one
| one != zero
| ~ test(X1) ),
inference(cn,[status(thm)],[4451,theory(equality)]) ).
cnf(4478,plain,
( addition(X1,one) = one
| zero != X1
| $false ),
inference(rw,[status(thm)],[507,4450,theory(equality)]) ).
cnf(4479,plain,
( addition(X1,one) = one
| zero != X1 ),
inference(cn,[status(thm)],[4478,theory(equality)]) ).
cnf(4480,plain,
( test(X1)
| zero != X1
| $false ),
inference(rw,[status(thm)],[505,4450,theory(equality)]) ).
cnf(4481,plain,
( test(X1)
| zero != X1 ),
inference(cn,[status(thm)],[4480,theory(equality)]) ).
cnf(4502,negated_conjecture,
( c(esk2_0) = one
| one != zero ),
inference(spm,[status(thm)],[4452,79,theory(equality)]) ).
cnf(4536,negated_conjecture,
( addition(one,multiplication(one,c(esk3_0))) != one
| ~ leq(one,addition(esk2_0,addition(esk3_0,multiplication(one,c(esk3_0)))))
| one != zero ),
inference(spm,[status(thm)],[1327,4502,theory(equality)]) ).
cnf(4622,negated_conjecture,
( addition(one,c(esk3_0)) != one
| ~ leq(one,addition(esk2_0,addition(esk3_0,multiplication(one,c(esk3_0)))))
| one != zero ),
inference(rw,[status(thm)],[4536,25,theory(equality)]) ).
cnf(4623,negated_conjecture,
( addition(one,c(esk3_0)) != one
| ~ leq(one,addition(esk2_0,addition(esk3_0,c(esk3_0))))
| one != zero ),
inference(rw,[status(thm)],[4622,25,theory(equality)]) ).
cnf(4696,negated_conjecture,
( addition(one,c(esk3_0)) != one
| one != zero
| ~ leq(one,addition(esk2_0,one))
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[4623,321,theory(equality)]) ).
cnf(4699,negated_conjecture,
( addition(one,c(esk3_0)) != one
| one != zero
| ~ leq(one,one)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[4696,828,theory(equality)]) ).
cnf(4700,negated_conjecture,
( addition(one,c(esk3_0)) != one
| one != zero
| ~ leq(one,one)
| $false ),
inference(rw,[status(thm)],[4699,80,theory(equality)]) ).
cnf(4701,negated_conjecture,
( addition(one,c(esk3_0)) != one
| one != zero
| ~ leq(one,one) ),
inference(cn,[status(thm)],[4700,theory(equality)]) ).
cnf(4706,negated_conjecture,
( addition(one,c(esk3_0)) != one
| one != zero
| addition(one,one) != one ),
inference(spm,[status(thm)],[4701,42,theory(equality)]) ).
cnf(4707,negated_conjecture,
( addition(one,c(esk3_0)) != one
| one != zero
| $false ),
inference(rw,[status(thm)],[4706,35,theory(equality)]) ).
cnf(4708,negated_conjecture,
( addition(one,c(esk3_0)) != one
| one != zero ),
inference(cn,[status(thm)],[4707,theory(equality)]) ).
cnf(4710,negated_conjecture,
( one != zero
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[4708,834,theory(equality)]) ).
cnf(4715,negated_conjecture,
( one != zero
| $false ),
inference(rw,[status(thm)],[4710,80,theory(equality)]) ).
cnf(4716,negated_conjecture,
one != zero,
inference(cn,[status(thm)],[4715,theory(equality)]) ).
cnf(5757,plain,
( one = addition(one,X1)
| zero != X1 ),
inference(spm,[status(thm)],[33,4479,theory(equality)]) ).
cnf(5811,plain,
( c(X1) = zero
| multiplication(zero,X1) != zero
| multiplication(X1,zero) != zero
| X1 != one
| ~ test(X1) ),
inference(spm,[status(thm)],[205,81,theory(equality)]) ).
cnf(5855,plain,
( c(X1) = zero
| $false
| multiplication(X1,zero) != zero
| X1 != one
| ~ test(X1) ),
inference(rw,[status(thm)],[5811,39,theory(equality)]) ).
cnf(5856,plain,
( c(X1) = zero
| $false
| $false
| X1 != one
| ~ test(X1) ),
inference(rw,[status(thm)],[5855,23,theory(equality)]) ).
cnf(5857,plain,
( c(X1) = zero
| X1 != one
| ~ test(X1) ),
inference(cn,[status(thm)],[5856,theory(equality)]) ).
cnf(7135,plain,
( c(X1) = zero
| X1 != one ),
inference(csr,[status(thm)],[5857,46]) ).
cnf(7232,negated_conjecture,
( one = zero
| addition(esk2_0,addition(multiplication(zero,c(esk3_0)),multiplication(addition(esk2_0,zero),esk3_0))) != one
| esk2_0 != one ),
inference(spm,[status(thm)],[3910,7135,theory(equality)]) ).
cnf(7423,negated_conjecture,
( one = zero
| esk2_0 != one
| 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)],[7232,39,theory(equality)]),27,theory(equality)]),81,theory(equality)]),134,theory(equality)]),33,theory(equality)]),829,theory(equality)]),66,theory(equality)]) ).
cnf(7424,negated_conjecture,
( one = zero
| esk2_0 != one ),
inference(cn,[status(thm)],[7423,theory(equality)]) ).
cnf(7425,negated_conjecture,
one != esk2_0,
inference(sr,[status(thm)],[7424,4716,theory(equality)]) ).
cnf(7830,plain,
( c(X1) = one
| multiplication(one,X1) != zero
| multiplication(X1,one) != zero
| ~ test(X1)
| zero != X1 ),
inference(spm,[status(thm)],[205,5757,theory(equality)]) ).
cnf(7873,plain,
( c(X1) = one
| X1 != zero
| multiplication(X1,one) != zero
| ~ test(X1)
| zero != X1 ),
inference(rw,[status(thm)],[7830,25,theory(equality)]) ).
cnf(7874,plain,
( c(X1) = one
| X1 != zero
| X1 != zero
| ~ test(X1)
| zero != X1 ),
inference(rw,[status(thm)],[7873,66,theory(equality)]) ).
cnf(7875,plain,
( c(X1) = one
| X1 != zero
| ~ test(X1) ),
inference(cn,[status(thm)],[7874,theory(equality)]) ).
cnf(7886,plain,
( c(X1) = one
| X1 != zero ),
inference(csr,[status(thm)],[7875,4481]) ).
cnf(8293,plain,
( multiplication(X1,one) = multiplication(X1,X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[270,89,theory(equality)]) ).
cnf(8334,plain,
( X1 = multiplication(X1,X1)
| ~ test(X1) ),
inference(rw,[status(thm)],[8293,66,theory(equality)]) ).
cnf(9418,negated_conjecture,
( addition(one,one) = addition(c(esk2_0),one)
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[1212,322,theory(equality)]) ).
cnf(9419,negated_conjecture,
( addition(one,one) = addition(c(esk3_0),one)
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[1308,322,theory(equality)]) ).
cnf(9512,negated_conjecture,
( one = addition(c(esk2_0),one)
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[9418,35,theory(equality)]) ).
cnf(9513,negated_conjecture,
( one = addition(one,c(esk2_0))
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[9512,33,theory(equality)]) ).
cnf(9514,negated_conjecture,
( one = addition(one,c(esk2_0))
| $false ),
inference(rw,[status(thm)],[9513,79,theory(equality)]) ).
cnf(9515,negated_conjecture,
one = addition(one,c(esk2_0)),
inference(cn,[status(thm)],[9514,theory(equality)]) ).
cnf(9516,negated_conjecture,
( one = addition(c(esk3_0),one)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[9419,35,theory(equality)]) ).
cnf(9517,negated_conjecture,
( one = addition(one,c(esk3_0))
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[9516,33,theory(equality)]) ).
cnf(9518,negated_conjecture,
( one = addition(one,c(esk3_0))
| $false ),
inference(rw,[status(thm)],[9517,80,theory(equality)]) ).
cnf(9519,negated_conjecture,
one = addition(one,c(esk3_0)),
inference(cn,[status(thm)],[9518,theory(equality)]) ).
cnf(9828,negated_conjecture,
~ test(addition(esk2_0,esk3_0)),
inference(spm,[status(thm)],[967,323,theory(equality)]) ).
cnf(10013,negated_conjecture,
c(addition(esk2_0,esk3_0)) = zero,
inference(spm,[status(thm)],[9828,46,theory(equality)]) ).
cnf(10052,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)],[3818,10013,theory(equality)]),81,theory(equality)]) ).
cnf(10053,negated_conjecture,
addition(esk2_0,multiplication(addition(esk2_0,c(esk2_0)),esk3_0)) != one,
inference(sr,[status(thm)],[10052,4716,theory(equality)]) ).
cnf(11933,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[8334,79,theory(equality)]) ).
cnf(11934,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[8334,80,theory(equality)]) ).
cnf(12210,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[338,11933,theory(equality)]) ).
cnf(12250,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| $false ),
inference(rw,[status(thm)],[12210,79,theory(equality)]) ).
cnf(12251,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(cn,[status(thm)],[12250,theory(equality)]) ).
cnf(12274,negated_conjecture,
( multiplication(c(esk3_0),esk3_0) = zero
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[476,11934,theory(equality)]) ).
cnf(12282,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[338,11934,theory(equality)]) ).
cnf(12302,negated_conjecture,
( multiplication(c(esk3_0),esk3_0) = zero
| $false ),
inference(rw,[status(thm)],[12274,80,theory(equality)]) ).
cnf(12303,negated_conjecture,
multiplication(c(esk3_0),esk3_0) = zero,
inference(cn,[status(thm)],[12302,theory(equality)]) ).
cnf(12322,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| $false ),
inference(rw,[status(thm)],[12282,80,theory(equality)]) ).
cnf(12323,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(cn,[status(thm)],[12322,theory(equality)]) ).
cnf(12357,negated_conjecture,
( multiplication(c(esk2_0),one) = multiplication(c(esk2_0),c(esk2_0))
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[477,12251,theory(equality)]) ).
cnf(12358,negated_conjecture,
( multiplication(c(c(esk2_0)),one) = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[478,12251,theory(equality)]) ).
cnf(12364,negated_conjecture,
addition(esk2_0,esk3_0) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10053,12251,theory(equality)]),25,theory(equality)]) ).
cnf(12381,negated_conjecture,
( one = zero
| addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0)))) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3910,12251,theory(equality)]),25,theory(equality)]),33,theory(equality)]) ).
cnf(12382,negated_conjecture,
addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0)))) != one,
inference(sr,[status(thm)],[12381,4716,theory(equality)]) ).
cnf(12444,negated_conjecture,
( c(esk2_0) = multiplication(c(esk2_0),c(esk2_0))
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[12357,66,theory(equality)]) ).
cnf(12445,negated_conjecture,
( c(esk2_0) = multiplication(c(esk2_0),c(esk2_0))
| $false ),
inference(rw,[status(thm)],[12444,79,theory(equality)]) ).
cnf(12446,negated_conjecture,
c(esk2_0) = multiplication(c(esk2_0),c(esk2_0)),
inference(cn,[status(thm)],[12445,theory(equality)]) ).
cnf(12447,negated_conjecture,
( c(c(esk2_0)) = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[12358,66,theory(equality)]) ).
cnf(12487,negated_conjecture,
( multiplication(c(c(esk3_0)),one) = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(c(esk3_0)) ),
inference(spm,[status(thm)],[478,12323,theory(equality)]) ).
cnf(12559,negated_conjecture,
( c(c(esk3_0)) = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[12487,66,theory(equality)]) ).
cnf(12655,negated_conjecture,
multiplication(zero,X1) = multiplication(c(esk3_0),multiplication(esk3_0,X1)),
inference(spm,[status(thm)],[37,12303,theory(equality)]) ).
cnf(12685,negated_conjecture,
zero = multiplication(c(esk3_0),multiplication(esk3_0,X1)),
inference(rw,[status(thm)],[12655,39,theory(equality)]) ).
cnf(12759,negated_conjecture,
( multiplication(esk2_0,c(esk2_0)) = zero
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[570,12446,theory(equality)]) ).
cnf(12802,negated_conjecture,
( multiplication(esk2_0,c(esk2_0)) = zero
| $false ),
inference(rw,[status(thm)],[12759,79,theory(equality)]) ).
cnf(12803,negated_conjecture,
multiplication(esk2_0,c(esk2_0)) = zero,
inference(cn,[status(thm)],[12802,theory(equality)]) ).
cnf(12822,negated_conjecture,
multiplication(zero,X1) = multiplication(esk2_0,multiplication(c(esk2_0),X1)),
inference(spm,[status(thm)],[37,12803,theory(equality)]) ).
cnf(12852,negated_conjecture,
zero = multiplication(esk2_0,multiplication(c(esk2_0),X1)),
inference(rw,[status(thm)],[12822,39,theory(equality)]) ).
cnf(13304,negated_conjecture,
( addition(esk2_0,addition(esk3_0,multiplication(one,c(esk3_0)))) != one
| esk2_0 != zero ),
inference(spm,[status(thm)],[12382,7886,theory(equality)]) ).
cnf(13323,negated_conjecture,
( $false
| esk2_0 != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13304,25,theory(equality)]),12323,theory(equality)]),828,theory(equality)]) ).
cnf(13324,negated_conjecture,
esk2_0 != zero,
inference(cn,[status(thm)],[13323,theory(equality)]) ).
cnf(13780,negated_conjecture,
( multiplication(one,multiplication(esk3_0,X1)) = zero
| esk3_0 != zero ),
inference(spm,[status(thm)],[12685,7886,theory(equality)]) ).
cnf(13874,negated_conjecture,
( multiplication(esk3_0,X1) = zero
| esk3_0 != zero ),
inference(rw,[status(thm)],[13780,25,theory(equality)]) ).
cnf(14066,negated_conjecture,
( c(multiplication(esk3_0,zero)) = addition(c(esk3_0),c(X1))
| ~ test(multiplication(esk3_0,esk3_0))
| ~ test(X1)
| ~ test(esk3_0)
| esk3_0 != zero ),
inference(spm,[status(thm)],[246,13874,theory(equality)]) ).
cnf(14137,negated_conjecture,
( one = addition(c(esk3_0),c(X1))
| ~ test(multiplication(esk3_0,esk3_0))
| ~ test(X1)
| ~ test(esk3_0)
| esk3_0 != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14066,23,theory(equality)]),3100,theory(equality)]) ).
cnf(14138,negated_conjecture,
( one = addition(c(esk3_0),c(X1))
| $false
| ~ test(X1)
| ~ test(esk3_0)
| esk3_0 != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14137,11934,theory(equality)]),80,theory(equality)]) ).
cnf(14139,negated_conjecture,
( one = addition(c(esk3_0),c(X1))
| $false
| ~ test(X1)
| $false
| esk3_0 != zero ),
inference(rw,[status(thm)],[14138,80,theory(equality)]) ).
cnf(14140,negated_conjecture,
( one = addition(c(esk3_0),c(X1))
| ~ test(X1)
| esk3_0 != zero ),
inference(cn,[status(thm)],[14139,theory(equality)]) ).
cnf(17039,negated_conjecture,
( multiplication(one,esk2_0) = one
| ~ test(c(esk2_0))
| c(esk2_0) != zero ),
inference(spm,[status(thm)],[12447,7886,theory(equality)]) ).
cnf(17080,negated_conjecture,
( esk2_0 = one
| ~ test(c(esk2_0))
| c(esk2_0) != zero ),
inference(rw,[status(thm)],[17039,25,theory(equality)]) ).
cnf(17081,negated_conjecture,
( ~ test(c(esk2_0))
| c(esk2_0) != zero ),
inference(sr,[status(thm)],[17080,7425,theory(equality)]) ).
cnf(17524,negated_conjecture,
c(esk2_0) != zero,
inference(csr,[status(thm)],[17081,4481]) ).
cnf(27485,negated_conjecture,
( multiplication(one,esk3_0) = multiplication(c(X1),esk3_0)
| ~ test(esk3_0)
| esk3_0 != zero
| ~ test(X1) ),
inference(spm,[status(thm)],[479,14140,theory(equality)]) ).
cnf(27585,negated_conjecture,
( esk3_0 = multiplication(c(X1),esk3_0)
| ~ test(esk3_0)
| esk3_0 != zero
| ~ test(X1) ),
inference(rw,[status(thm)],[27485,25,theory(equality)]) ).
cnf(27586,negated_conjecture,
( esk3_0 = multiplication(c(X1),esk3_0)
| $false
| esk3_0 != zero
| ~ test(X1) ),
inference(rw,[status(thm)],[27585,80,theory(equality)]) ).
cnf(27587,negated_conjecture,
( esk3_0 = multiplication(c(X1),esk3_0)
| esk3_0 != zero
| ~ test(X1) ),
inference(cn,[status(thm)],[27586,theory(equality)]) ).
cnf(28258,negated_conjecture,
( multiplication(esk2_0,esk3_0) = zero
| esk3_0 != zero
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[12852,27587,theory(equality)]) ).
cnf(28329,negated_conjecture,
( multiplication(esk2_0,esk3_0) = zero
| esk3_0 != zero
| $false ),
inference(rw,[status(thm)],[28258,79,theory(equality)]) ).
cnf(28330,negated_conjecture,
( multiplication(esk2_0,esk3_0) = zero
| esk3_0 != zero ),
inference(cn,[status(thm)],[28329,theory(equality)]) ).
cnf(28407,negated_conjecture,
( c(multiplication(esk2_0,zero)) = addition(c(esk2_0),c(esk3_0))
| ~ test(multiplication(esk2_0,esk2_0))
| ~ test(esk3_0)
| ~ test(esk2_0)
| esk3_0 != zero ),
inference(spm,[status(thm)],[246,28330,theory(equality)]) ).
cnf(28449,negated_conjecture,
( one = addition(c(esk2_0),c(esk3_0))
| ~ test(multiplication(esk2_0,esk2_0))
| ~ test(esk3_0)
| ~ test(esk2_0)
| esk3_0 != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[28407,23,theory(equality)]),3100,theory(equality)]) ).
cnf(28450,negated_conjecture,
( one = addition(c(esk2_0),c(esk3_0))
| $false
| ~ test(esk3_0)
| ~ test(esk2_0)
| esk3_0 != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[28449,11933,theory(equality)]),79,theory(equality)]) ).
cnf(28451,negated_conjecture,
( one = addition(c(esk2_0),c(esk3_0))
| $false
| $false
| ~ test(esk2_0)
| esk3_0 != zero ),
inference(rw,[status(thm)],[28450,80,theory(equality)]) ).
cnf(28452,negated_conjecture,
( one = addition(c(esk2_0),c(esk3_0))
| $false
| $false
| $false
| esk3_0 != zero ),
inference(rw,[status(thm)],[28451,79,theory(equality)]) ).
cnf(28453,negated_conjecture,
( one = addition(c(esk2_0),c(esk3_0))
| esk3_0 != zero ),
inference(cn,[status(thm)],[28452,theory(equality)]) ).
cnf(28688,negated_conjecture,
( multiplication(one,esk2_0) = multiplication(c(esk3_0),esk2_0)
| ~ test(esk2_0)
| esk3_0 != zero ),
inference(spm,[status(thm)],[479,28453,theory(equality)]) ).
cnf(28767,negated_conjecture,
( esk2_0 = multiplication(c(esk3_0),esk2_0)
| ~ test(esk2_0)
| esk3_0 != zero ),
inference(rw,[status(thm)],[28688,25,theory(equality)]) ).
cnf(28768,negated_conjecture,
( esk2_0 = multiplication(c(esk3_0),esk2_0)
| $false
| esk3_0 != zero ),
inference(rw,[status(thm)],[28767,79,theory(equality)]) ).
cnf(28769,negated_conjecture,
( esk2_0 = multiplication(c(esk3_0),esk2_0)
| esk3_0 != zero ),
inference(cn,[status(thm)],[28768,theory(equality)]) ).
cnf(29190,negated_conjecture,
( c(multiplication(c(esk3_0),multiplication(esk2_0,esk2_0))) = c(esk2_0)
| ~ test(esk2_0)
| esk3_0 != zero ),
inference(spm,[status(thm)],[237,28769,theory(equality)]) ).
cnf(29228,negated_conjecture,
( c(multiplication(c(esk3_0),esk2_0)) = c(esk2_0)
| ~ test(esk2_0)
| esk3_0 != zero ),
inference(rw,[status(thm)],[29190,11933,theory(equality)]) ).
cnf(29229,negated_conjecture,
( c(multiplication(c(esk3_0),esk2_0)) = c(esk2_0)
| $false
| esk3_0 != zero ),
inference(rw,[status(thm)],[29228,79,theory(equality)]) ).
cnf(29230,negated_conjecture,
( c(multiplication(c(esk3_0),esk2_0)) = c(esk2_0)
| esk3_0 != zero ),
inference(cn,[status(thm)],[29229,theory(equality)]) ).
cnf(36132,negated_conjecture,
( test(c(esk2_0))
| ~ test(multiplication(c(esk3_0),esk2_0))
| esk3_0 != zero ),
inference(spm,[status(thm)],[229,29230,theory(equality)]) ).
cnf(36662,negated_conjecture,
( test(c(esk2_0))
| esk3_0 != zero
| ~ test(multiplication(one,esk2_0)) ),
inference(spm,[status(thm)],[36132,7886,theory(equality)]) ).
cnf(36676,negated_conjecture,
( test(c(esk2_0))
| esk3_0 != zero
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[36662,25,theory(equality)]),79,theory(equality)]) ).
cnf(36677,negated_conjecture,
( test(c(esk2_0))
| esk3_0 != zero ),
inference(cn,[status(thm)],[36676,theory(equality)]) ).
cnf(48124,plain,
( addition(c(multiplication(X1,X2)),c(c(X2))) = addition(one,c(X1))
| ~ test(X2)
| ~ test(X1) ),
inference(csr,[status(thm)],[1888,229]) ).
cnf(48140,negated_conjecture,
( addition(c(esk2_0),c(c(esk2_0))) = addition(one,c(esk2_0))
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[48124,11933,theory(equality)]) ).
cnf(48141,negated_conjecture,
( addition(c(esk3_0),c(c(esk3_0))) = addition(one,c(esk3_0))
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[48124,11934,theory(equality)]) ).
cnf(48391,negated_conjecture,
( addition(c(esk2_0),c(c(esk2_0))) = one
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[48140,9515,theory(equality)]) ).
cnf(48392,negated_conjecture,
( addition(c(esk2_0),c(c(esk2_0))) = one
| $false ),
inference(rw,[status(thm)],[48391,79,theory(equality)]) ).
cnf(48393,negated_conjecture,
addition(c(esk2_0),c(c(esk2_0))) = one,
inference(cn,[status(thm)],[48392,theory(equality)]) ).
cnf(48394,negated_conjecture,
( addition(c(esk3_0),c(c(esk3_0))) = one
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[48141,9519,theory(equality)]) ).
cnf(48395,negated_conjecture,
( addition(c(esk3_0),c(c(esk3_0))) = one
| $false ),
inference(rw,[status(thm)],[48394,80,theory(equality)]) ).
cnf(48396,negated_conjecture,
addition(c(esk3_0),c(c(esk3_0))) = one,
inference(cn,[status(thm)],[48395,theory(equality)]) ).
cnf(48819,negated_conjecture,
( multiplication(one,esk2_0) = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[479,48393,theory(equality)]) ).
cnf(48919,negated_conjecture,
( esk2_0 = multiplication(c(c(esk2_0)),esk2_0)
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[48819,25,theory(equality)]) ).
cnf(48920,negated_conjecture,
( esk2_0 = multiplication(c(c(esk2_0)),esk2_0)
| $false ),
inference(rw,[status(thm)],[48919,79,theory(equality)]) ).
cnf(48921,negated_conjecture,
esk2_0 = multiplication(c(c(esk2_0)),esk2_0),
inference(cn,[status(thm)],[48920,theory(equality)]) ).
cnf(50052,negated_conjecture,
( esk2_0 = c(c(esk2_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[12447,48921,theory(equality)]) ).
cnf(50138,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| ~ test(esk2_0) ),
inference(spm,[status(thm)],[50052,229,theory(equality)]) ).
cnf(50150,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| $false ),
inference(rw,[status(thm)],[50138,79,theory(equality)]) ).
cnf(50151,negated_conjecture,
c(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[50150,theory(equality)]) ).
cnf(50247,negated_conjecture,
( multiplication(esk2_0,esk3_0) = esk3_0
| esk3_0 != zero
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[27587,50151,theory(equality)]) ).
cnf(50379,negated_conjecture,
( multiplication(esk2_0,esk3_0) = esk3_0
| esk3_0 != zero ),
inference(csr,[status(thm)],[50247,36677]) ).
cnf(50385,negated_conjecture,
( addition(esk2_0,esk3_0) = multiplication(esk2_0,addition(one,esk3_0))
| esk3_0 != zero ),
inference(spm,[status(thm)],[134,50379,theory(equality)]) ).
cnf(50430,negated_conjecture,
( addition(esk2_0,esk3_0) = esk2_0
| esk3_0 != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[50385,33,theory(equality)]),829,theory(equality)]),66,theory(equality)]) ).
cnf(51008,negated_conjecture,
( c(esk2_0) = zero
| esk3_0 != zero ),
inference(spm,[status(thm)],[10013,50430,theory(equality)]) ).
cnf(51058,negated_conjecture,
esk3_0 != zero,
inference(sr,[status(thm)],[51008,17524,theory(equality)]) ).
cnf(51242,negated_conjecture,
( multiplication(one,esk3_0) = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[479,48396,theory(equality)]) ).
cnf(51345,negated_conjecture,
( esk3_0 = multiplication(c(c(esk3_0)),esk3_0)
| ~ test(esk3_0) ),
inference(rw,[status(thm)],[51242,25,theory(equality)]) ).
cnf(51346,negated_conjecture,
( esk3_0 = multiplication(c(c(esk3_0)),esk3_0)
| $false ),
inference(rw,[status(thm)],[51345,80,theory(equality)]) ).
cnf(51347,negated_conjecture,
esk3_0 = multiplication(c(c(esk3_0)),esk3_0),
inference(cn,[status(thm)],[51346,theory(equality)]) ).
cnf(52203,negated_conjecture,
( esk3_0 = c(c(esk3_0))
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[12559,51347,theory(equality)]) ).
cnf(52295,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| ~ test(esk3_0) ),
inference(spm,[status(thm)],[52203,229,theory(equality)]) ).
cnf(52308,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| $false ),
inference(rw,[status(thm)],[52295,80,theory(equality)]) ).
cnf(52309,negated_conjecture,
c(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[52308,theory(equality)]) ).
cnf(97260,plain,
( multiplication(c(addition(X1,X2)),addition(one,c(c(X2)))) = multiplication(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(csr,[status(thm)],[2366,229]) ).
cnf(97310,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)],[97260,10013,theory(equality)]) ).
cnf(97681,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)],[97310,52309,theory(equality)]),33,theory(equality)]),829,theory(equality)]),39,theory(equality)]) ).
cnf(97682,negated_conjecture,
( zero = multiplication(c(esk2_0),c(esk3_0))
| $false
| ~ test(esk2_0) ),
inference(rw,[status(thm)],[97681,80,theory(equality)]) ).
cnf(97683,negated_conjecture,
( zero = multiplication(c(esk2_0),c(esk3_0))
| $false
| $false ),
inference(rw,[status(thm)],[97682,79,theory(equality)]) ).
cnf(97684,negated_conjecture,
zero = multiplication(c(esk2_0),c(esk3_0)),
inference(cn,[status(thm)],[97683,theory(equality)]) ).
cnf(98095,negated_conjecture,
( c(multiplication(c(esk2_0),zero)) = addition(c(c(esk2_0)),c(c(esk3_0)))
| ~ test(multiplication(c(esk2_0),c(esk2_0)))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[246,97684,theory(equality)]) ).
cnf(98224,negated_conjecture,
( one = addition(c(c(esk2_0)),c(c(esk3_0)))
| ~ test(multiplication(c(esk2_0),c(esk2_0)))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[98095,23,theory(equality)]),3100,theory(equality)]) ).
cnf(98225,negated_conjecture,
( one = addition(esk2_0,esk3_0)
| ~ test(multiplication(c(esk2_0),c(esk2_0)))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[98224,50151,theory(equality)]),52309,theory(equality)]) ).
cnf(98226,negated_conjecture,
( one = addition(esk2_0,esk3_0)
| ~ test(c(esk2_0))
| ~ test(c(esk3_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[98225,12446,theory(equality)]) ).
cnf(98227,negated_conjecture,
( one = addition(esk2_0,esk3_0)
| ~ test(c(esk2_0))
| ~ test(c(esk3_0)) ),
inference(cn,[status(thm)],[98226,theory(equality)]) ).
cnf(98331,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| c(c(esk3_0)) = zero
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[98227,46,theory(equality)]) ).
cnf(98345,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| esk3_0 = zero
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[98331,52309,theory(equality)]) ).
cnf(98346,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| ~ test(c(esk2_0)) ),
inference(sr,[status(thm)],[98345,51058,theory(equality)]) ).
cnf(98366,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| c(c(esk2_0)) = zero ),
inference(spm,[status(thm)],[98346,46,theory(equality)]) ).
cnf(98380,negated_conjecture,
( addition(esk2_0,esk3_0) = one
| esk2_0 = zero ),
inference(rw,[status(thm)],[98366,50151,theory(equality)]) ).
cnf(98381,negated_conjecture,
addition(esk2_0,esk3_0) = one,
inference(sr,[status(thm)],[98380,13324,theory(equality)]) ).
cnf(98472,negated_conjecture,
$false,
inference(rw,[status(thm)],[12364,98381,theory(equality)]) ).
cnf(98473,negated_conjecture,
$false,
inference(cn,[status(thm)],[98472,theory(equality)]) ).
cnf(98474,negated_conjecture,
$false,
98473,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE011+4.p
% --creating new selector for [KLE001+0.ax, KLE001+1.ax, KLE001+2.ax]
% -running prover on /tmp/tmpNyoPut/sel_KLE011+4.p_1 with time limit 29
% -prover status Theorem
% Problem KLE011+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE011+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE011+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
%
%------------------------------------------------------------------------------