%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL901+1 : TPTP v5.5.0. Released v5.5.0.
% 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 @ 2800MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Mon Oct 22 18:24:45 EDT 2012
% Result : Theorem 1.47s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 14
% Syntax : Number of formulae : 130 ( 85 unt; 0 def)
% Number of atoms : 183 ( 58 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 94 ( 41 ~; 45 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 238 ( 41 sgn 68 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : '>='(X1,'0'),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_08) ).
fof(2,axiom,
! [X2,X3,X4] :
( '>='(X2,X3)
=> '>='('+'(X2,X4),'+'(X3,X4)) ),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_09) ).
fof(3,axiom,
! [X1,X5] : equal('+'(X1,X5),'+'(X5,X1)),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_02) ).
fof(4,axiom,
! [X1] : equal('+'(X1,'0'),X1),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_03) ).
fof(5,axiom,
! [X1,X5] : equal('==>'('==>'(X1,X5),X5),'==>'('==>'(X5,X1),X1)),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_13) ).
fof(6,axiom,
! [X1,X5,X6] : equal('+'('+'(X1,X5),X6),'+'(X1,'+'(X5,X6))),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_01) ).
fof(7,axiom,
! [X7,X8] :
( ( '>='(X7,X8)
& '>='(X8,X7) )
=> equal(X7,X8) ),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_06) ).
fof(8,axiom,
! [X9,X10,X11] :
( '>='('+'(X9,X10),X11)
<=> '>='(X10,'==>'(X9,X11)) ),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_07) ).
fof(9,axiom,
! [X1] : '>='(X1,X1),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_04) ).
fof(11,axiom,
! [X15,X16,X17] :
( '>='(X15,X16)
=> '>='('==>'(X17,X15),'==>'(X17,X16)) ),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_11) ).
fof(12,conjecture,
! [X18] : equal('==>'('==>'('==>'(X18,'1'),X18),X18),'0'),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',goals_15) ).
fof(13,axiom,
! [X19,X20,X21] :
( '>='(X19,X20)
=> '>='('==>'(X20,X21),'==>'(X19,X21)) ),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_10) ).
fof(14,axiom,
! [X1] : equal('+'(X1,'1'),'1'),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_12) ).
fof(15,axiom,
! [X1] : equal('+'(X1,X1),X1),
file('/tmp/tmp8hkiwJ/sel_LCL901+1.p_1',sos_14) ).
fof(16,negated_conjecture,
~ ! [X18] : equal('==>'('==>'('==>'(X18,'1'),X18),X18),'0'),
inference(assume_negation,[status(cth)],[12]) ).
fof(17,plain,
! [X2] : '>='(X2,'0'),
inference(variable_rename,[status(thm)],[1]) ).
cnf(18,plain,
'>='(X1,'0'),
inference(split_conjunct,[status(thm)],[17]) ).
fof(19,plain,
! [X2,X3,X4] :
( ~ '>='(X2,X3)
| '>='('+'(X2,X4),'+'(X3,X4)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(20,plain,
! [X5,X6,X7] :
( ~ '>='(X5,X6)
| '>='('+'(X5,X7),'+'(X6,X7)) ),
inference(variable_rename,[status(thm)],[19]) ).
cnf(21,plain,
( '>='('+'(X1,X2),'+'(X3,X2))
| ~ '>='(X1,X3) ),
inference(split_conjunct,[status(thm)],[20]) ).
fof(22,plain,
! [X6,X7] : equal('+'(X6,X7),'+'(X7,X6)),
inference(variable_rename,[status(thm)],[3]) ).
cnf(23,plain,
'+'(X1,X2) = '+'(X2,X1),
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X2] : equal('+'(X2,'0'),X2),
inference(variable_rename,[status(thm)],[4]) ).
cnf(25,plain,
'+'(X1,'0') = X1,
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X6,X7] : equal('==>'('==>'(X6,X7),X7),'==>'('==>'(X7,X6),X6)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(27,plain,
'==>'('==>'(X1,X2),X2) = '==>'('==>'(X2,X1),X1),
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X7,X8,X9] : equal('+'('+'(X7,X8),X9),'+'(X7,'+'(X8,X9))),
inference(variable_rename,[status(thm)],[6]) ).
cnf(29,plain,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X7,X8] :
( ~ '>='(X7,X8)
| ~ '>='(X8,X7)
| equal(X7,X8) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(31,plain,
! [X9,X10] :
( ~ '>='(X9,X10)
| ~ '>='(X10,X9)
| equal(X9,X10) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( X1 = X2
| ~ '>='(X2,X1)
| ~ '>='(X1,X2) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X9,X10,X11] :
( ( ~ '>='('+'(X9,X10),X11)
| '>='(X10,'==>'(X9,X11)) )
& ( ~ '>='(X10,'==>'(X9,X11))
| '>='('+'(X9,X10),X11) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(34,plain,
! [X12,X13,X14] :
( ( ~ '>='('+'(X12,X13),X14)
| '>='(X13,'==>'(X12,X14)) )
& ( ~ '>='(X13,'==>'(X12,X14))
| '>='('+'(X12,X13),X14) ) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(35,plain,
( '>='('+'(X1,X2),X3)
| ~ '>='(X2,'==>'(X1,X3)) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(36,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X2,X1),X3) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(37,plain,
! [X2] : '>='(X2,X2),
inference(variable_rename,[status(thm)],[9]) ).
cnf(38,plain,
'>='(X1,X1),
inference(split_conjunct,[status(thm)],[37]) ).
fof(42,plain,
! [X15,X16,X17] :
( ~ '>='(X15,X16)
| '>='('==>'(X17,X15),'==>'(X17,X16)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(43,plain,
! [X18,X19,X20] :
( ~ '>='(X18,X19)
| '>='('==>'(X20,X18),'==>'(X20,X19)) ),
inference(variable_rename,[status(thm)],[42]) ).
cnf(44,plain,
( '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='(X2,X3) ),
inference(split_conjunct,[status(thm)],[43]) ).
fof(45,negated_conjecture,
? [X18] : ~ equal('==>'('==>'('==>'(X18,'1'),X18),X18),'0'),
inference(fof_nnf,[status(thm)],[16]) ).
fof(46,negated_conjecture,
? [X19] : ~ equal('==>'('==>'('==>'(X19,'1'),X19),X19),'0'),
inference(variable_rename,[status(thm)],[45]) ).
fof(47,negated_conjecture,
~ equal('==>'('==>'('==>'(esk1_0,'1'),esk1_0),esk1_0),'0'),
inference(skolemize,[status(esa)],[46]) ).
cnf(48,negated_conjecture,
'==>'('==>'('==>'(esk1_0,'1'),esk1_0),esk1_0) != '0',
inference(split_conjunct,[status(thm)],[47]) ).
fof(49,plain,
! [X19,X20,X21] :
( ~ '>='(X19,X20)
| '>='('==>'(X20,X21),'==>'(X19,X21)) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(50,plain,
! [X22,X23,X24] :
( ~ '>='(X22,X23)
| '>='('==>'(X23,X24),'==>'(X22,X24)) ),
inference(variable_rename,[status(thm)],[49]) ).
cnf(51,plain,
( '>='('==>'(X1,X2),'==>'(X3,X2))
| ~ '>='(X3,X1) ),
inference(split_conjunct,[status(thm)],[50]) ).
fof(52,plain,
! [X2] : equal('+'(X2,'1'),'1'),
inference(variable_rename,[status(thm)],[14]) ).
cnf(53,plain,
'+'(X1,'1') = '1',
inference(split_conjunct,[status(thm)],[52]) ).
fof(54,plain,
! [X2] : equal('+'(X2,X2),X2),
inference(variable_rename,[status(thm)],[15]) ).
cnf(55,plain,
'+'(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[54]) ).
cnf(58,plain,
'+'('0',X1) = X1,
inference(spm,[status(thm)],[25,23,theory(equality)]) ).
cnf(69,plain,
'+'(X1,X2) = '+'(X1,'+'(X1,X2)),
inference(spm,[status(thm)],[29,55,theory(equality)]) ).
cnf(87,plain,
( '0' = X1
| ~ '>='('0',X1) ),
inference(spm,[status(thm)],[32,18,theory(equality)]) ).
cnf(93,plain,
'>='(X1,'==>'(X2,'+'(X2,X1))),
inference(spm,[status(thm)],[36,38,theory(equality)]) ).
cnf(94,plain,
( '>='('0','==>'(X1,X2))
| ~ '>='(X1,X2) ),
inference(spm,[status(thm)],[36,25,theory(equality)]) ).
cnf(97,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X1,X2),X3) ),
inference(spm,[status(thm)],[36,23,theory(equality)]) ).
cnf(99,plain,
'>='('+'(X1,'==>'(X1,X2)),X2),
inference(spm,[status(thm)],[35,38,theory(equality)]) ).
cnf(109,negated_conjecture,
'==>'('==>'(esk1_0,'==>'(esk1_0,'1')),'==>'(esk1_0,'1')) != '0',
inference(rw,[status(thm)],[48,27,theory(equality)]) ).
cnf(112,plain,
'>='('0','==>'(X1,'0')),
inference(spm,[status(thm)],[94,18,theory(equality)]) ).
cnf(113,plain,
'>='('0','==>'(X1,X1)),
inference(spm,[status(thm)],[94,38,theory(equality)]) ).
cnf(135,plain,
( '==>'(X1,'0') = '0'
| ~ '>='('==>'(X1,'0'),'0') ),
inference(spm,[status(thm)],[32,112,theory(equality)]) ).
cnf(143,plain,
( '==>'(X1,'0') = '0'
| $false ),
inference(rw,[status(thm)],[135,18,theory(equality)]) ).
cnf(144,plain,
'==>'(X1,'0') = '0',
inference(cn,[status(thm)],[143,theory(equality)]) ).
cnf(148,plain,
'==>'('0','0') = '==>'('==>'('0',X1),X1),
inference(spm,[status(thm)],[27,144,theory(equality)]) ).
cnf(154,plain,
'0' = '==>'('==>'('0',X1),X1),
inference(rw,[status(thm)],[148,144,theory(equality)]) ).
cnf(166,plain,
( '==>'(X1,X1) = '0'
| ~ '>='('==>'(X1,X1),'0') ),
inference(spm,[status(thm)],[32,113,theory(equality)]) ).
cnf(176,plain,
( '==>'(X1,X1) = '0'
| $false ),
inference(rw,[status(thm)],[166,18,theory(equality)]) ).
cnf(177,plain,
'==>'(X1,X1) = '0',
inference(cn,[status(thm)],[176,theory(equality)]) ).
cnf(183,plain,
'+'('==>'(X2,X2),X1) = X1,
inference(spm,[status(thm)],[58,177,theory(equality)]) ).
cnf(190,plain,
( '>='('+'(X1,X2),X1)
| ~ '>='(X2,'0') ),
inference(spm,[status(thm)],[35,177,theory(equality)]) ).
cnf(191,plain,
( '==>'(X2,X2) = X1
| ~ '>='('==>'(X2,X2),X1) ),
inference(spm,[status(thm)],[87,177,theory(equality)]) ).
cnf(193,plain,
( '>='('+'(X1,X2),X1)
| $false ),
inference(rw,[status(thm)],[190,18,theory(equality)]) ).
cnf(194,plain,
'>='('+'(X1,X2),X1),
inference(cn,[status(thm)],[193,theory(equality)]) ).
cnf(218,plain,
( '>='('+'('==>'('0',X1),X2),X1)
| ~ '>='(X2,'0') ),
inference(spm,[status(thm)],[35,154,theory(equality)]) ).
cnf(223,plain,
( '>='('+'('==>'('0',X1),X2),X1)
| $false ),
inference(rw,[status(thm)],[218,18,theory(equality)]) ).
cnf(224,plain,
'>='('+'('==>'('0',X1),X2),X1),
inference(cn,[status(thm)],[223,theory(equality)]) ).
cnf(388,plain,
'>='('1',X1),
inference(spm,[status(thm)],[194,53,theory(equality)]) ).
cnf(395,plain,
'>='('+'(X2,X1),X1),
inference(spm,[status(thm)],[194,23,theory(equality)]) ).
cnf(403,plain,
'>='('==>'(X1,X2),'==>'('+'(X1,X3),X2)),
inference(spm,[status(thm)],[51,194,theory(equality)]) ).
cnf(407,plain,
'>='(X1,'==>'(X2,X1)),
inference(spm,[status(thm)],[97,194,theory(equality)]) ).
cnf(416,plain,
'>='('==>'(X1,'1'),'==>'(X1,X2)),
inference(spm,[status(thm)],[44,388,theory(equality)]) ).
cnf(422,plain,
'>='('0','==>'('1',X1)),
inference(spm,[status(thm)],[94,388,theory(equality)]) ).
cnf(439,plain,
( '==>'('1',X1) = '0'
| ~ '>='('==>'('1',X1),'0') ),
inference(spm,[status(thm)],[32,422,theory(equality)]) ).
cnf(451,plain,
( '==>'('1',X1) = '0'
| $false ),
inference(rw,[status(thm)],[439,18,theory(equality)]) ).
cnf(452,plain,
'==>'('1',X1) = '0',
inference(cn,[status(thm)],[451,theory(equality)]) ).
cnf(573,plain,
'+'(X1,'+'(X2,X1)) = '+'(X2,X1),
inference(spm,[status(thm)],[69,23,theory(equality)]) ).
cnf(609,plain,
'>='('==>'(X1,'+'(X2,X3)),'==>'(X1,X3)),
inference(spm,[status(thm)],[44,395,theory(equality)]) ).
cnf(646,plain,
'>='('+'(X1,X2),'+'('==>'(X3,X1),X2)),
inference(spm,[status(thm)],[21,407,theory(equality)]) ).
cnf(791,plain,
'+'(X1,'+'(X2,'+'(X3,X1))) = '+'(X2,'+'(X3,X1)),
inference(spm,[status(thm)],[573,29,theory(equality)]) ).
cnf(1104,plain,
'>='('==>'('0',X1),X1),
inference(spm,[status(thm)],[224,25,theory(equality)]) ).
cnf(1152,plain,
( X1 = '==>'('0',X1)
| ~ '>='(X1,'==>'('0',X1)) ),
inference(spm,[status(thm)],[32,1104,theory(equality)]) ).
cnf(1168,plain,
( X1 = '==>'('0',X1)
| $false ),
inference(rw,[status(thm)],[1152,407,theory(equality)]) ).
cnf(1169,plain,
X1 = '==>'('0',X1),
inference(cn,[status(thm)],[1168,theory(equality)]) ).
cnf(1382,plain,
'>='('0','==>'('==>'(X1,'1'),'==>'(X1,X2))),
inference(spm,[status(thm)],[94,416,theory(equality)]) ).
cnf(2019,plain,
'>='('0','==>'('+'(X1,'==>'(X1,X2)),X2)),
inference(spm,[status(thm)],[94,99,theory(equality)]) ).
cnf(4034,plain,
( '==>'('==>'(X1,'1'),'==>'(X1,X2)) = '0'
| ~ '>='('==>'('==>'(X1,'1'),'==>'(X1,X2)),'0') ),
inference(spm,[status(thm)],[32,1382,theory(equality)]) ).
cnf(4076,plain,
( '==>'('==>'(X1,'1'),'==>'(X1,X2)) = '0'
| $false ),
inference(rw,[status(thm)],[4034,18,theory(equality)]) ).
cnf(4077,plain,
'==>'('==>'(X1,'1'),'==>'(X1,X2)) = '0',
inference(cn,[status(thm)],[4076,theory(equality)]) ).
cnf(4183,plain,
'==>'('==>'('==>'('1',X1),X1),'==>'('==>'(X1,'1'),X2)) = '0',
inference(spm,[status(thm)],[4077,27,theory(equality)]) ).
cnf(4238,plain,
'==>'(X1,'==>'('==>'(X1,'1'),X2)) = '0',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4183,452,theory(equality)]),1169,theory(equality)]) ).
cnf(8421,plain,
'==>'(X1,X1) = '==>'('+'(X1,X2),X1),
inference(spm,[status(thm)],[191,403,theory(equality)]) ).
cnf(8507,plain,
'==>'('+'(X2,'+'(X3,X1)),X1) = '==>'(X1,X1),
inference(spm,[status(thm)],[8421,791,theory(equality)]) ).
cnf(11063,plain,
'>='(X1,'+'('==>'(X2,X1),X1)),
inference(spm,[status(thm)],[646,55,theory(equality)]) ).
cnf(11161,plain,
'>='(X1,'+'(X1,'==>'(X2,X1))),
inference(rw,[status(thm)],[11063,23,theory(equality)]) ).
cnf(11243,plain,
( '+'(X1,'==>'(X2,X1)) = X1
| ~ '>='('+'(X1,'==>'(X2,X1)),X1) ),
inference(spm,[status(thm)],[32,11161,theory(equality)]) ).
cnf(11298,plain,
( '+'(X1,'==>'(X2,X1)) = X1
| $false ),
inference(rw,[status(thm)],[11243,194,theory(equality)]) ).
cnf(11299,plain,
'+'(X1,'==>'(X2,X1)) = X1,
inference(cn,[status(thm)],[11298,theory(equality)]) ).
cnf(11372,plain,
'+'(X1,'==>'('==>'(X1,X2),X2)) = X1,
inference(spm,[status(thm)],[11299,27,theory(equality)]) ).
cnf(12040,plain,
'+'(X1,'==>'('0','==>'('==>'(X1,'1'),X2))) = X1,
inference(spm,[status(thm)],[11372,4238,theory(equality)]) ).
cnf(12127,plain,
'+'(X1,'==>'('==>'(X1,'1'),X2)) = X1,
inference(rw,[status(thm)],[12040,1169,theory(equality)]) ).
cnf(12383,plain,
'==>'('+'(X1,X2),'==>'('==>'(X2,'1'),X3)) = '==>'('==>'('==>'(X2,'1'),X3),'==>'('==>'(X2,'1'),X3)),
inference(spm,[status(thm)],[8507,12127,theory(equality)]) ).
cnf(12473,plain,
'==>'('+'(X1,X2),'==>'('==>'(X2,'1'),X3)) = '0',
inference(rw,[status(thm)],[12383,177,theory(equality)]) ).
cnf(13536,plain,
( '==>'('+'(X1,'==>'(X1,X2)),X2) = '0'
| ~ '>='('==>'('+'(X1,'==>'(X1,X2)),X2),'0') ),
inference(spm,[status(thm)],[32,2019,theory(equality)]) ).
cnf(13583,plain,
( '==>'('+'(X1,'==>'(X1,X2)),X2) = '0'
| $false ),
inference(rw,[status(thm)],[13536,18,theory(equality)]) ).
cnf(13584,plain,
'==>'('+'(X1,'==>'(X1,X2)),X2) = '0',
inference(cn,[status(thm)],[13583,theory(equality)]) ).
cnf(13669,plain,
'+'('+'(X1,'==>'(X1,X2)),'==>'('0',X2)) = '+'(X1,'==>'(X1,X2)),
inference(spm,[status(thm)],[11372,13584,theory(equality)]) ).
cnf(13767,plain,
'+'(X1,X2) = '+'(X1,'==>'(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13669,1169,theory(equality)]),29,theory(equality)]),23,theory(equality)]),11299,theory(equality)]) ).
cnf(13812,plain,
'>='('==>'(X1,X2),'==>'(X1,'+'(X1,X2))),
inference(spm,[status(thm)],[93,13767,theory(equality)]) ).
cnf(23444,plain,
'==>'('+'(X1,'==>'(X2,'1')),'==>'('==>'('==>'('1',X2),X2),X3)) = '0',
inference(spm,[status(thm)],[12473,27,theory(equality)]) ).
cnf(23564,plain,
'==>'('+'(X1,'==>'(X2,'1')),'==>'(X2,X3)) = '0',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[23444,452,theory(equality)]),1169,theory(equality)]) ).
cnf(35601,plain,
'==>'('==>'(X2,'1'),'==>'(X2,X3)) = '0',
inference(spm,[status(thm)],[23564,183,theory(equality)]) ).
cnf(59933,plain,
( '==>'(X1,'+'(X1,X2)) = '==>'(X1,X2)
| ~ '>='('==>'(X1,'+'(X1,X2)),'==>'(X1,X2)) ),
inference(spm,[status(thm)],[32,13812,theory(equality)]) ).
cnf(60037,plain,
( '==>'(X1,'+'(X1,X2)) = '==>'(X1,X2)
| $false ),
inference(rw,[status(thm)],[59933,609,theory(equality)]) ).
cnf(60038,plain,
'==>'(X1,'+'(X1,X2)) = '==>'(X1,X2),
inference(cn,[status(thm)],[60037,theory(equality)]) ).
cnf(60090,plain,
'==>'(X1,'+'(X1,X2)) = '==>'(X1,'==>'(X1,X2)),
inference(spm,[status(thm)],[60038,13767,theory(equality)]) ).
cnf(60329,plain,
'==>'(X1,X2) = '==>'(X1,'==>'(X1,X2)),
inference(rw,[status(thm)],[60090,60038,theory(equality)]) ).
cnf(60663,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[109,60329,theory(equality)]),35601,theory(equality)]) ).
cnf(60664,negated_conjecture,
$false,
inference(cn,[status(thm)],[60663,theory(equality)]) ).
cnf(60665,negated_conjecture,
$false,
60664,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL901+1.p
% --creating new selector for []
% -running prover on /tmp/tmp8hkiwJ/sel_LCL901+1.p_1 with time limit 29
% -running prover with command ['/davis/home/graph/tptp/Systems/SInE---0.4/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/tmp/tmp8hkiwJ/sel_LCL901+1.p_1']
% -prover status Theorem
% Problem LCL901+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL901+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL901+1.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
%
%------------------------------------------------------------------------------