TSTP Solution File: LCL888+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL888+1 : TPTP v5.5.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2800MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Mon Oct 22 18:18:58 EDT 2012
% Result : Theorem 20.92s
% Output : CNFRefutation 20.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 12
% Syntax : Number of formulae : 148 ( 95 unt; 0 def)
% Number of atoms : 218 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 117 ( 47 ~; 51 |; 12 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 185 ( 22 sgn 68 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : '>='(X1,'0'),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_08) ).
fof(3,conjecture,
! [X5,X6,X7] :
( ( equal(X5,'==>'(X5,X6))
& equal(X7,'==>'(X7,X6)) )
=> equal(X5,X7) ),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',goals_13) ).
fof(4,axiom,
! [X1,X8] : equal('+'(X1,X8),'+'(X8,X1)),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_02) ).
fof(5,axiom,
! [X1] : equal('+'(X1,'0'),X1),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_03) ).
fof(6,axiom,
! [X1,X8,X9] : equal('+'('+'(X1,X8),X9),'+'(X1,'+'(X8,X9))),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_01) ).
fof(7,axiom,
! [X10,X11] :
( ( '>='(X10,X11)
& '>='(X11,X10) )
=> equal(X10,X11) ),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_06) ).
fof(8,axiom,
! [X12,X13,X14] :
( '>='('+'(X12,X13),X14)
<=> '>='(X13,'==>'(X12,X14)) ),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_07) ).
fof(9,axiom,
! [X1] : '>='(X1,X1),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_04) ).
fof(10,axiom,
! [X15,X16,X17] :
( ( '>='(X15,X16)
& '>='(X16,X17) )
=> '>='(X15,X17) ),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_05) ).
fof(11,axiom,
! [X18,X19,X20] :
( '>='(X18,X19)
=> '>='('==>'(X20,X18),'==>'(X20,X19)) ),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_11) ).
fof(12,axiom,
! [X21,X22,X23] :
( '>='(X21,X22)
=> '>='('==>'(X22,X23),'==>'(X21,X23)) ),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_10) ).
fof(13,axiom,
! [X1,X8] : equal('+'(X1,'==>'(X1,X8)),'+'(X8,'==>'(X8,X1))),
file('/tmp/tmpBWvm0E/sel_LCL888+1.p_1',sos_12) ).
fof(14,negated_conjecture,
~ ! [X5,X6,X7] :
( ( equal(X5,'==>'(X5,X6))
& equal(X7,'==>'(X7,X6)) )
=> equal(X5,X7) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(15,plain,
! [X2] : '>='(X2,'0'),
inference(variable_rename,[status(thm)],[1]) ).
cnf(16,plain,
'>='(X1,'0'),
inference(split_conjunct,[status(thm)],[15]) ).
fof(20,negated_conjecture,
? [X5,X6,X7] :
( equal(X5,'==>'(X5,X6))
& equal(X7,'==>'(X7,X6))
& ~ equal(X5,X7) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(21,negated_conjecture,
? [X8,X9,X10] :
( equal(X8,'==>'(X8,X9))
& equal(X10,'==>'(X10,X9))
& ~ equal(X8,X10) ),
inference(variable_rename,[status(thm)],[20]) ).
fof(22,negated_conjecture,
( equal(esk1_0,'==>'(esk1_0,esk2_0))
& equal(esk3_0,'==>'(esk3_0,esk2_0))
& ~ equal(esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[21]) ).
cnf(23,negated_conjecture,
esk1_0 != esk3_0,
inference(split_conjunct,[status(thm)],[22]) ).
cnf(24,negated_conjecture,
esk3_0 = '==>'(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(25,negated_conjecture,
esk1_0 = '==>'(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[22]) ).
fof(26,plain,
! [X9,X10] : equal('+'(X9,X10),'+'(X10,X9)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(27,plain,
'+'(X1,X2) = '+'(X2,X1),
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X2] : equal('+'(X2,'0'),X2),
inference(variable_rename,[status(thm)],[5]) ).
cnf(29,plain,
'+'(X1,'0') = X1,
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X10,X11,X12] : equal('+'('+'(X10,X11),X12),'+'(X10,'+'(X11,X12))),
inference(variable_rename,[status(thm)],[6]) ).
cnf(31,plain,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X10,X11] :
( ~ '>='(X10,X11)
| ~ '>='(X11,X10)
| equal(X10,X11) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(33,plain,
! [X12,X13] :
( ~ '>='(X12,X13)
| ~ '>='(X13,X12)
| equal(X12,X13) ),
inference(variable_rename,[status(thm)],[32]) ).
cnf(34,plain,
( X1 = X2
| ~ '>='(X2,X1)
| ~ '>='(X1,X2) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(35,plain,
! [X12,X13,X14] :
( ( ~ '>='('+'(X12,X13),X14)
| '>='(X13,'==>'(X12,X14)) )
& ( ~ '>='(X13,'==>'(X12,X14))
| '>='('+'(X12,X13),X14) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(36,plain,
! [X15,X16,X17] :
( ( ~ '>='('+'(X15,X16),X17)
| '>='(X16,'==>'(X15,X17)) )
& ( ~ '>='(X16,'==>'(X15,X17))
| '>='('+'(X15,X16),X17) ) ),
inference(variable_rename,[status(thm)],[35]) ).
cnf(37,plain,
( '>='('+'(X1,X2),X3)
| ~ '>='(X2,'==>'(X1,X3)) ),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(38,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X2,X1),X3) ),
inference(split_conjunct,[status(thm)],[36]) ).
fof(39,plain,
! [X2] : '>='(X2,X2),
inference(variable_rename,[status(thm)],[9]) ).
cnf(40,plain,
'>='(X1,X1),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X15,X16,X17] :
( ~ '>='(X15,X16)
| ~ '>='(X16,X17)
| '>='(X15,X17) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(42,plain,
! [X18,X19,X20] :
( ~ '>='(X18,X19)
| ~ '>='(X19,X20)
| '>='(X18,X20) ),
inference(variable_rename,[status(thm)],[41]) ).
cnf(43,plain,
( '>='(X1,X2)
| ~ '>='(X3,X2)
| ~ '>='(X1,X3) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X18,X19,X20] :
( ~ '>='(X18,X19)
| '>='('==>'(X20,X18),'==>'(X20,X19)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(45,plain,
! [X21,X22,X23] :
( ~ '>='(X21,X22)
| '>='('==>'(X23,X21),'==>'(X23,X22)) ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='(X2,X3) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(47,plain,
! [X21,X22,X23] :
( ~ '>='(X21,X22)
| '>='('==>'(X22,X23),'==>'(X21,X23)) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(48,plain,
! [X24,X25,X26] :
( ~ '>='(X24,X25)
| '>='('==>'(X25,X26),'==>'(X24,X26)) ),
inference(variable_rename,[status(thm)],[47]) ).
cnf(49,plain,
( '>='('==>'(X1,X2),'==>'(X3,X2))
| ~ '>='(X3,X1) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(50,plain,
! [X9,X10] : equal('+'(X9,'==>'(X9,X10)),'+'(X10,'==>'(X10,X9))),
inference(variable_rename,[status(thm)],[13]) ).
cnf(51,plain,
'+'(X1,'==>'(X1,X2)) = '+'(X2,'==>'(X2,X1)),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(57,plain,
'+'(X1,'+'(X2,X3)) = '+'(X3,'+'(X1,X2)),
inference(spm,[status(thm)],[27,31,theory(equality)]) ).
cnf(77,plain,
'>='(X1,'==>'(X2,'+'(X2,X1))),
inference(spm,[status(thm)],[38,40,theory(equality)]) ).
cnf(78,plain,
( '>='('0','==>'(X1,X2))
| ~ '>='(X1,X2) ),
inference(spm,[status(thm)],[38,29,theory(equality)]) ).
cnf(80,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X1,X2),X3) ),
inference(spm,[status(thm)],[38,27,theory(equality)]) ).
cnf(88,negated_conjecture,
'+'(esk3_0,esk3_0) = '+'(esk2_0,'==>'(esk2_0,esk3_0)),
inference(spm,[status(thm)],[51,24,theory(equality)]) ).
cnf(90,plain,
'+'('+'(X2,'==>'(X2,X1)),X3) = '+'(X1,'+'('==>'(X1,X2),X3)),
inference(spm,[status(thm)],[31,51,theory(equality)]) ).
cnf(96,plain,
'+'(X2,'+'('==>'(X2,X1),X3)) = '+'(X1,'+'('==>'(X1,X2),X3)),
inference(rw,[status(thm)],[90,31,theory(equality)]) ).
cnf(99,plain,
'>='('0','==>'(X1,X1)),
inference(spm,[status(thm)],[78,40,theory(equality)]) ).
cnf(158,plain,
( '==>'(X1,X1) = '0'
| ~ '>='('==>'(X1,X1),'0') ),
inference(spm,[status(thm)],[34,99,theory(equality)]) ).
cnf(168,plain,
( '==>'(X1,X1) = '0'
| $false ),
inference(rw,[status(thm)],[158,16,theory(equality)]) ).
cnf(169,plain,
'==>'(X1,X1) = '0',
inference(cn,[status(thm)],[168,theory(equality)]) ).
cnf(185,plain,
( '>='('+'(X1,X2),X1)
| ~ '>='(X2,'0') ),
inference(spm,[status(thm)],[37,169,theory(equality)]) ).
cnf(190,plain,
( '>='('+'(X1,X2),X1)
| $false ),
inference(rw,[status(thm)],[185,16,theory(equality)]) ).
cnf(191,plain,
'>='('+'(X1,X2),X1),
inference(cn,[status(thm)],[190,theory(equality)]) ).
cnf(213,negated_conjecture,
'>='('+'(esk3_0,esk3_0),esk2_0),
inference(spm,[status(thm)],[191,88,theory(equality)]) ).
cnf(214,plain,
'>='('+'(X2,X1),X1),
inference(spm,[status(thm)],[191,27,theory(equality)]) ).
cnf(219,plain,
'>='('==>'(X1,'+'(X2,X3)),'==>'(X1,X2)),
inference(spm,[status(thm)],[46,191,theory(equality)]) ).
cnf(221,plain,
( '>='(X1,X2)
| ~ '>='(X1,'+'(X2,X3)) ),
inference(spm,[status(thm)],[43,191,theory(equality)]) ).
cnf(357,plain,
'+'(X1,'+'(X3,'==>'(X3,X2))) = '+'('==>'(X2,X3),'+'(X1,X2)),
inference(spm,[status(thm)],[57,51,theory(equality)]) ).
cnf(395,plain,
'+'(X1,'+'(X3,'==>'(X3,X2))) = '+'(X2,'+'('==>'(X2,X3),X1)),
inference(rw,[status(thm)],[357,57,theory(equality)]) ).
cnf(417,plain,
'>='(X1,'==>'(X2,X1)),
inference(spm,[status(thm)],[38,214,theory(equality)]) ).
cnf(418,plain,
'>='('+'(X1,'+'(X2,'==>'(X1,X3))),X3),
inference(spm,[status(thm)],[37,214,theory(equality)]) ).
cnf(483,negated_conjecture,
'>='(esk2_0,esk1_0),
inference(spm,[status(thm)],[417,25,theory(equality)]) ).
cnf(484,negated_conjecture,
'>='(esk2_0,esk3_0),
inference(spm,[status(thm)],[417,24,theory(equality)]) ).
cnf(497,plain,
'>='('0','==>'(X1,'==>'(X2,X1))),
inference(spm,[status(thm)],[78,417,theory(equality)]) ).
cnf(509,negated_conjecture,
'>='('0','==>'(esk2_0,esk1_0)),
inference(spm,[status(thm)],[78,483,theory(equality)]) ).
cnf(548,negated_conjecture,
( '==>'(esk2_0,esk1_0) = '0'
| ~ '>='('==>'(esk2_0,esk1_0),'0') ),
inference(spm,[status(thm)],[34,509,theory(equality)]) ).
cnf(557,negated_conjecture,
( '==>'(esk2_0,esk1_0) = '0'
| $false ),
inference(rw,[status(thm)],[548,16,theory(equality)]) ).
cnf(558,negated_conjecture,
'==>'(esk2_0,esk1_0) = '0',
inference(cn,[status(thm)],[557,theory(equality)]) ).
cnf(565,negated_conjecture,
'+'(esk2_0,'0') = '+'(esk1_0,'==>'(esk1_0,esk2_0)),
inference(spm,[status(thm)],[51,558,theory(equality)]) ).
cnf(570,negated_conjecture,
esk2_0 = '+'(esk1_0,'==>'(esk1_0,esk2_0)),
inference(rw,[status(thm)],[565,29,theory(equality)]) ).
cnf(571,negated_conjecture,
esk2_0 = '+'(esk1_0,esk1_0),
inference(rw,[status(thm)],[570,25,theory(equality)]) ).
cnf(577,negated_conjecture,
'>='('+'(esk1_0,esk1_0),esk3_0),
inference(rw,[status(thm)],[484,571,theory(equality)]) ).
cnf(585,negated_conjecture,
'>='('+'(esk3_0,esk3_0),'+'(esk1_0,esk1_0)),
inference(rw,[status(thm)],[213,571,theory(equality)]) ).
cnf(586,negated_conjecture,
'+'(esk1_0,'+'(esk1_0,'==>'('+'(esk1_0,esk1_0),esk3_0))) = '+'(esk3_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[88,571,theory(equality)]),571,theory(equality)]),31,theory(equality)]) ).
cnf(587,negated_conjecture,
'==>'(esk3_0,'+'(esk1_0,esk1_0)) = esk3_0,
inference(rw,[status(thm)],[24,571,theory(equality)]) ).
cnf(588,negated_conjecture,
'==>'(esk1_0,'+'(esk1_0,esk1_0)) = esk1_0,
inference(rw,[status(thm)],[25,571,theory(equality)]) ).
cnf(617,negated_conjecture,
'>='('0','==>'('+'(esk1_0,esk1_0),esk3_0)),
inference(spm,[status(thm)],[78,577,theory(equality)]) ).
cnf(660,negated_conjecture,
'>='('+'(esk3_0,esk3_0),esk1_0),
inference(spm,[status(thm)],[221,585,theory(equality)]) ).
cnf(675,negated_conjecture,
'>='(esk3_0,'==>'(esk3_0,esk1_0)),
inference(spm,[status(thm)],[38,660,theory(equality)]) ).
cnf(689,negated_conjecture,
'>='('0','==>'(esk3_0,'==>'(esk3_0,esk1_0))),
inference(spm,[status(thm)],[78,675,theory(equality)]) ).
cnf(697,negated_conjecture,
( '==>'('+'(esk1_0,esk1_0),esk3_0) = '0'
| ~ '>='('==>'('+'(esk1_0,esk1_0),esk3_0),'0') ),
inference(spm,[status(thm)],[34,617,theory(equality)]) ).
cnf(708,negated_conjecture,
( '==>'('+'(esk1_0,esk1_0),esk3_0) = '0'
| $false ),
inference(rw,[status(thm)],[697,16,theory(equality)]) ).
cnf(709,negated_conjecture,
'==>'('+'(esk1_0,esk1_0),esk3_0) = '0',
inference(cn,[status(thm)],[708,theory(equality)]) ).
cnf(760,plain,
'>='(X1,'==>'(X2,'+'(X1,X2))),
inference(spm,[status(thm)],[80,40,theory(equality)]) ).
cnf(934,negated_conjecture,
( '==>'(esk3_0,'==>'(esk3_0,esk1_0)) = '0'
| ~ '>='('==>'(esk3_0,'==>'(esk3_0,esk1_0)),'0') ),
inference(spm,[status(thm)],[34,689,theory(equality)]) ).
cnf(943,negated_conjecture,
( '==>'(esk3_0,'==>'(esk3_0,esk1_0)) = '0'
| $false ),
inference(rw,[status(thm)],[934,16,theory(equality)]) ).
cnf(944,negated_conjecture,
'==>'(esk3_0,'==>'(esk3_0,esk1_0)) = '0',
inference(cn,[status(thm)],[943,theory(equality)]) ).
cnf(951,negated_conjecture,
( '>='('+'(esk3_0,X1),'==>'(esk3_0,esk1_0))
| ~ '>='(X1,'0') ),
inference(spm,[status(thm)],[37,944,theory(equality)]) ).
cnf(955,negated_conjecture,
( '>='('+'(esk3_0,X1),'==>'(esk3_0,esk1_0))
| $false ),
inference(rw,[status(thm)],[951,16,theory(equality)]) ).
cnf(956,negated_conjecture,
'>='('+'(esk3_0,X1),'==>'(esk3_0,esk1_0)),
inference(cn,[status(thm)],[955,theory(equality)]) ).
cnf(1284,negated_conjecture,
'>='('0','==>'('+'(esk3_0,X1),'==>'(esk3_0,esk1_0))),
inference(spm,[status(thm)],[78,956,theory(equality)]) ).
cnf(1791,plain,
'>='('==>'('==>'(X1,'+'(X1,X2)),X3),'==>'(X2,X3)),
inference(spm,[status(thm)],[49,77,theory(equality)]) ).
cnf(2527,negated_conjecture,
'+'(esk1_0,esk1_0) = '+'(esk3_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[586,709,theory(equality)]),29,theory(equality)]) ).
cnf(2528,negated_conjecture,
'+'('+'(esk1_0,esk1_0),X1) = '+'(esk3_0,'+'(esk3_0,X1)),
inference(spm,[status(thm)],[31,2527,theory(equality)]) ).
cnf(2578,negated_conjecture,
'+'(esk1_0,'+'(esk1_0,X1)) = '+'(esk3_0,'+'(esk3_0,X1)),
inference(rw,[status(thm)],[2528,31,theory(equality)]) ).
cnf(2603,negated_conjecture,
'+'(esk3_0,'+'(X1,'==>'(X1,esk3_0))) = '+'(esk1_0,'+'(esk1_0,'==>'(esk3_0,X1))),
inference(spm,[status(thm)],[2578,51,theory(equality)]) ).
cnf(4021,plain,
( '==>'(X1,'==>'(X2,X1)) = '0'
| ~ '>='('==>'(X1,'==>'(X2,X1)),'0') ),
inference(spm,[status(thm)],[34,497,theory(equality)]) ).
cnf(4054,plain,
( '==>'(X1,'==>'(X2,X1)) = '0'
| $false ),
inference(rw,[status(thm)],[4021,16,theory(equality)]) ).
cnf(4055,plain,
'==>'(X1,'==>'(X2,X1)) = '0',
inference(cn,[status(thm)],[4054,theory(equality)]) ).
cnf(4796,negated_conjecture,
( '==>'('+'(esk3_0,X1),'==>'(esk3_0,esk1_0)) = '0'
| ~ '>='('==>'('+'(esk3_0,X1),'==>'(esk3_0,esk1_0)),'0') ),
inference(spm,[status(thm)],[34,1284,theory(equality)]) ).
cnf(4811,negated_conjecture,
( '==>'('+'(esk3_0,X1),'==>'(esk3_0,esk1_0)) = '0'
| $false ),
inference(rw,[status(thm)],[4796,16,theory(equality)]) ).
cnf(4812,negated_conjecture,
'==>'('+'(esk3_0,X1),'==>'(esk3_0,esk1_0)) = '0',
inference(cn,[status(thm)],[4811,theory(equality)]) ).
cnf(4832,negated_conjecture,
'==>'('+'(X1,esk3_0),'==>'(esk3_0,esk1_0)) = '0',
inference(spm,[status(thm)],[4812,27,theory(equality)]) ).
cnf(4889,negated_conjecture,
'+'('+'(X1,esk3_0),'0') = '+'('==>'(esk3_0,esk1_0),'==>'('==>'(esk3_0,esk1_0),'+'(X1,esk3_0))),
inference(spm,[status(thm)],[51,4832,theory(equality)]) ).
cnf(4911,negated_conjecture,
'+'(X1,esk3_0) = '+'('==>'(esk3_0,esk1_0),'==>'('==>'(esk3_0,esk1_0),'+'(X1,esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4889,31,theory(equality)]),29,theory(equality)]) ).
cnf(8922,negated_conjecture,
'>='('==>'(esk3_0,'+'('+'(esk1_0,esk1_0),X1)),esk3_0),
inference(spm,[status(thm)],[219,587,theory(equality)]) ).
cnf(9003,negated_conjecture,
'>='('==>'(esk3_0,'+'(esk1_0,'+'(esk1_0,X1))),esk3_0),
inference(rw,[status(thm)],[8922,31,theory(equality)]) ).
cnf(9068,negated_conjecture,
'>='('0','==>'('==>'(esk3_0,'+'(esk1_0,'+'(esk1_0,X1))),esk3_0)),
inference(spm,[status(thm)],[78,9003,theory(equality)]) ).
cnf(10830,plain,
( '==>'(X1,'+'(X2,X1)) = X2
| ~ '>='('==>'(X1,'+'(X2,X1)),X2) ),
inference(spm,[status(thm)],[34,760,theory(equality)]) ).
cnf(44783,negated_conjecture,
( '==>'('==>'(esk3_0,'+'(esk1_0,'+'(esk1_0,X1))),esk3_0) = '0'
| ~ '>='('==>'('==>'(esk3_0,'+'(esk1_0,'+'(esk1_0,X1))),esk3_0),'0') ),
inference(spm,[status(thm)],[34,9068,theory(equality)]) ).
cnf(44813,negated_conjecture,
( '==>'('==>'(esk3_0,'+'(esk1_0,'+'(esk1_0,X1))),esk3_0) = '0'
| $false ),
inference(rw,[status(thm)],[44783,16,theory(equality)]) ).
cnf(44814,negated_conjecture,
'==>'('==>'(esk3_0,'+'(esk1_0,'+'(esk1_0,X1))),esk3_0) = '0',
inference(cn,[status(thm)],[44813,theory(equality)]) ).
cnf(44922,negated_conjecture,
'==>'('==>'(esk3_0,'+'(X1,'+'('==>'(X1,esk1_0),esk1_0))),esk3_0) = '0',
inference(spm,[status(thm)],[44814,395,theory(equality)]) ).
cnf(45024,negated_conjecture,
'==>'('==>'(esk3_0,'+'(X1,'+'(esk1_0,'==>'(X1,esk1_0)))),esk3_0) = '0',
inference(rw,[status(thm)],[44922,27,theory(equality)]) ).
cnf(57798,negated_conjecture,
'>='('+'('==>'(esk3_0,esk1_0),'+'(X1,esk3_0)),'+'(X1,esk3_0)),
inference(spm,[status(thm)],[418,4911,theory(equality)]) ).
cnf(57914,negated_conjecture,
'>='('+'(esk1_0,'+'('==>'(esk1_0,esk3_0),X1)),'+'(X1,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[57798,57,theory(equality)]),96,theory(equality)]) ).
cnf(330691,negated_conjecture,
'>='('+'(esk1_0,'+'('==>'(esk1_0,esk3_0),esk3_0)),'+'(esk1_0,esk1_0)),
inference(spm,[status(thm)],[57914,2527,theory(equality)]) ).
cnf(330848,negated_conjecture,
'>='('+'(esk1_0,'+'(esk3_0,'==>'(esk1_0,esk3_0))),'+'(esk1_0,esk1_0)),
inference(rw,[status(thm)],[330691,27,theory(equality)]) ).
cnf(330959,negated_conjecture,
'>='('+'(esk3_0,'==>'(esk1_0,esk3_0)),'==>'(esk1_0,'+'(esk1_0,esk1_0))),
inference(spm,[status(thm)],[38,330848,theory(equality)]) ).
cnf(331026,negated_conjecture,
'>='('+'(esk3_0,'==>'(esk1_0,esk3_0)),esk1_0),
inference(rw,[status(thm)],[330959,588,theory(equality)]) ).
cnf(331065,negated_conjecture,
'>='('==>'(esk1_0,esk3_0),'==>'(esk3_0,esk1_0)),
inference(spm,[status(thm)],[38,331026,theory(equality)]) ).
cnf(331113,negated_conjecture,
( '==>'(esk3_0,esk1_0) = '==>'(esk1_0,esk3_0)
| ~ '>='('==>'(esk3_0,esk1_0),'==>'(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[34,331065,theory(equality)]) ).
cnf(531817,negated_conjecture,
'>='('0','==>'('+'(esk1_0,'==>'(esk3_0,esk1_0)),esk3_0)),
inference(spm,[status(thm)],[1791,45024,theory(equality)]) ).
cnf(532453,negated_conjecture,
'>='('+'('+'(esk1_0,'==>'(esk3_0,esk1_0)),'0'),esk3_0),
inference(spm,[status(thm)],[37,531817,theory(equality)]) ).
cnf(532486,negated_conjecture,
'>='('+'(esk1_0,'==>'(esk3_0,esk1_0)),esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[532453,31,theory(equality)]),29,theory(equality)]) ).
cnf(532497,negated_conjecture,
'>='('==>'(esk3_0,esk1_0),'==>'(esk1_0,esk3_0)),
inference(spm,[status(thm)],[38,532486,theory(equality)]) ).
cnf(532591,negated_conjecture,
( '==>'(esk3_0,esk1_0) = '==>'(esk1_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[331113,532497,theory(equality)]) ).
cnf(532592,negated_conjecture,
'==>'(esk3_0,esk1_0) = '==>'(esk1_0,esk3_0),
inference(cn,[status(thm)],[532591,theory(equality)]) ).
cnf(532847,negated_conjecture,
'+'(esk3_0,'+'('==>'(esk1_0,esk3_0),X1)) = '+'(esk1_0,'+'('==>'(esk1_0,esk3_0),X1)),
inference(spm,[status(thm)],[96,532592,theory(equality)]) ).
cnf(534640,negated_conjecture,
'+'(esk1_0,'+'('==>'(esk1_0,esk3_0),'==>'('==>'(esk1_0,esk3_0),esk3_0))) = '+'(esk1_0,'+'(esk1_0,'==>'(esk3_0,'==>'(esk1_0,esk3_0)))),
inference(spm,[status(thm)],[2603,532847,theory(equality)]) ).
cnf(535331,negated_conjecture,
'+'(esk1_0,esk3_0) = '+'(esk1_0,'+'(esk1_0,'==>'(esk3_0,'==>'(esk1_0,esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[534640,51,theory(equality)]),4055,theory(equality)]),29,theory(equality)]) ).
cnf(535332,negated_conjecture,
'+'(esk1_0,esk3_0) = '+'(esk1_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[535331,4055,theory(equality)]),29,theory(equality)]) ).
cnf(536342,negated_conjecture,
'>='(esk3_0,'==>'(esk1_0,'+'(esk1_0,esk1_0))),
inference(spm,[status(thm)],[77,535332,theory(equality)]) ).
cnf(536769,negated_conjecture,
( '==>'(esk3_0,'+'(esk1_0,esk1_0)) = esk1_0
| ~ '>='('==>'(esk3_0,'+'(esk1_0,esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[10830,535332,theory(equality)]) ).
cnf(537082,negated_conjecture,
'>='(esk3_0,esk1_0),
inference(rw,[status(thm)],[536342,588,theory(equality)]) ).
cnf(537426,negated_conjecture,
( esk3_0 = esk1_0
| ~ '>='('==>'(esk3_0,'+'(esk1_0,esk1_0)),esk1_0) ),
inference(rw,[status(thm)],[536769,587,theory(equality)]) ).
cnf(537427,negated_conjecture,
( esk3_0 = esk1_0
| ~ '>='(esk3_0,esk1_0) ),
inference(rw,[status(thm)],[537426,587,theory(equality)]) ).
cnf(537428,negated_conjecture,
~ '>='(esk3_0,esk1_0),
inference(sr,[status(thm)],[537427,23,theory(equality)]) ).
cnf(537453,negated_conjecture,
$false,
inference(sr,[status(thm)],[537082,537428,theory(equality)]) ).
cnf(537454,negated_conjecture,
$false,
537453,
[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/LCL888+1.p
% --creating new selector for []
% -running prover on /tmp/tmpBWvm0E/sel_LCL888+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/tmpBWvm0E/sel_LCL888+1.p_1']
% -prover status Theorem
% Problem LCL888+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL888+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL888+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
%
%------------------------------------------------------------------------------