TSTP Solution File: ALG045+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG045+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 03:41:27 EST 2010
% Result : Unsatisfiable 2.81s
% Output : CNFRefutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 12
% Syntax : Number of formulae : 181 ( 40 unt; 0 def)
% Number of atoms : 1042 ( 921 equ)
% Maximal formula atoms : 256 ( 5 avg)
% Number of connectives : 1083 ( 222 ~; 650 |; 210 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(e2,e0) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax25) ).
fof(10,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(e0,e1) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax22) ).
fof(11,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 ) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax2) ).
fof(12,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax3) ).
fof(13,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax1) ).
fof(14,axiom,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax6) ).
fof(16,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax4) ).
fof(17,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax5) ).
fof(18,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e2,e1) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax8) ).
fof(22,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(e0,e2) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax16) ).
fof(30,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(e0,e2) ),
file('/tmp/tmpzsQjBu/sel_ALG045+1.p_1',ax30) ).
fof(31,plain,
( epred1_0
=> ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ) ),
introduced(definition) ).
fof(32,plain,
( epred1_0
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
inference(apply_def,[status(esa)],[14,31,theory(equality)]) ).
fof(37,plain,
( e3 != op(e0,e0)
| e1 != op(e2,e0) ),
inference(fof_nnf,[status(thm)],[3]) ).
cnf(38,plain,
( e1 != op(e2,e0)
| e3 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(51,plain,
( e2 != op(e1,e1)
| e3 != op(e0,e1) ),
inference(fof_nnf,[status(thm)],[10]) ).
cnf(52,plain,
( e3 != op(e0,e1)
| e2 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,plain,
( unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(54,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[11]) ).
cnf(55,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[11]) ).
cnf(56,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[11]) ).
cnf(57,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[11]) ).
cnf(58,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[11]) ).
cnf(59,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[11]) ).
cnf(60,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[11]) ).
cnf(61,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[11]) ).
cnf(70,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(78,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(84,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(101,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(107,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[13]) ).
fof(110,plain,
( ( op(e0,e0) = e3
| epred1_0 )
& ( op(e1,e1) = e3
| epred1_0 )
& ( op(e2,e2) = e3
| epred1_0 )
& ( op(e3,e3) = e3
| epred1_0 ) ),
inference(distribute,[status(thm)],[32]) ).
cnf(111,plain,
( epred1_0
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(113,plain,
( epred1_0
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(114,plain,
( epred1_0
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(117,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(118,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(119,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(120,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(122,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(126,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(129,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(131,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(136,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(137,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(151,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(152,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(159,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(163,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(165,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[17]) ).
cnf(166,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[17]) ).
cnf(167,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[17]) ).
cnf(168,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[17]) ).
cnf(169,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[17]) ).
cnf(170,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[17]) ).
fof(171,plain,
( e0 != op(e1,e1)
| e3 != op(e2,e1) ),
inference(fof_nnf,[status(thm)],[18]) ).
cnf(172,plain,
( e3 != op(e2,e1)
| e0 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[171]) ).
fof(179,plain,
( e1 != op(e2,e2)
| e3 != op(e0,e2) ),
inference(fof_nnf,[status(thm)],[22]) ).
cnf(180,plain,
( e3 != op(e0,e2)
| e1 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[179]) ).
fof(195,plain,
( e3 != op(e2,e2)
| e1 != op(e0,e2) ),
inference(fof_nnf,[status(thm)],[30]) ).
cnf(196,plain,
( e1 != op(e0,e2)
| e3 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[195]) ).
fof(197,plain,
( ~ epred1_0
| ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(198,plain,
( ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[197]) ).
cnf(199,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(201,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e1,e1) = e2
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(219,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e3,e3) = e2
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(221,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e1,e1) = e2
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(237,plain,
( op(e1,e1) = e0
| op(e2,e2) = e1
| op(e1,e1) = e2
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(241,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(246,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(266,plain,
( op(e3,e3) = e3
| unit = e1
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[54,53,theory(equality)]) ).
cnf(267,plain,
( op(e2,e3) = e2
| unit = e1
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[56,53,theory(equality)]) ).
cnf(272,plain,
( op(e3,e0) = e0
| unit = e1
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[61,53,theory(equality)]) ).
cnf(274,plain,
( epred1_0
| e3 != op(e3,e2) ),
inference(spm,[status(thm)],[117,111,theory(equality)]) ).
cnf(275,plain,
( epred1_0
| e3 != op(e3,e0) ),
inference(spm,[status(thm)],[120,111,theory(equality)]) ).
cnf(289,plain,
( epred1_0
| e3 != op(e3,e1) ),
inference(spm,[status(thm)],[118,111,theory(equality)]) ).
cnf(386,plain,
( epred1_0
| e3 != op(e2,e0) ),
inference(spm,[status(thm)],[163,114,theory(equality)]) ).
cnf(706,plain,
( epred1_0
| e3 != op(e1,e2) ),
inference(spm,[status(thm)],[131,113,theory(equality)]) ).
cnf(1483,plain,
( epred1_0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[38,114,theory(equality)]) ).
cnf(2816,plain,
( op(e1,e1) = e3
| op(e0,e1) = e3
| op(e2,e1) = e3
| e3 != op(e3,e0) ),
inference(spm,[status(thm)],[122,78,theory(equality)]) ).
cnf(2838,plain,
( op(e1,e1) = e3
| op(e0,e1) = e3
| op(e2,e1) = e3
| e0 = e3
| op(e1,e1) = e0
| op(e0,e1) = e0
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[78,84,theory(equality)]) ).
cnf(2840,plain,
( op(e1,e1) = e3
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e0
| op(e0,e1) = e0
| op(e2,e1) = e0 ),
inference(sr,[status(thm)],[2838,168,theory(equality)]) ).
cnf(2939,plain,
( op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e2) = e2
| e3 != op(e2,e2) ),
inference(spm,[status(thm)],[151,107,theory(equality)]) ).
cnf(3111,plain,
( epred1_0
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[386,101,theory(equality)]) ).
cnf(3125,plain,
( e3 = e1
| e3 = e0
| e3 = e2
| unit = e2
| unit = e0
| unit = e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[199,266,theory(equality)]) ).
cnf(3174,plain,
( e3 = e0
| e3 = e2
| unit = e2
| unit = e0
| unit = e1
| ~ epred1_0 ),
inference(sr,[status(thm)],[3125,166,theory(equality)]) ).
cnf(3175,plain,
( e3 = e2
| unit = e2
| unit = e0
| unit = e1
| ~ epred1_0 ),
inference(sr,[status(thm)],[3174,168,theory(equality)]) ).
cnf(3176,plain,
( unit = e2
| unit = e0
| unit = e1
| ~ epred1_0 ),
inference(sr,[status(thm)],[3175,165,theory(equality)]) ).
cnf(3234,plain,
( op(e3,e1) = e3
| unit = e0
| unit = e2
| ~ epred1_0 ),
inference(spm,[status(thm)],[54,3176,theory(equality)]) ).
cnf(3236,plain,
( op(e0,e1) = e0
| unit = e0
| unit = e2
| ~ epred1_0 ),
inference(spm,[status(thm)],[60,3176,theory(equality)]) ).
cnf(3237,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| ~ epred1_0 ),
inference(spm,[status(thm)],[58,3176,theory(equality)]) ).
cnf(3238,plain,
( op(e1,e3) = e3
| unit = e0
| unit = e2
| ~ epred1_0 ),
inference(spm,[status(thm)],[55,3176,theory(equality)]) ).
cnf(3239,plain,
( op(e1,e2) = e2
| unit = e0
| unit = e2
| ~ epred1_0 ),
inference(spm,[status(thm)],[57,3176,theory(equality)]) ).
cnf(3244,plain,
( unit = e2
| unit = e0
| unit = e1
| e2 != op(e2,e0) ),
inference(spm,[status(thm)],[126,267,theory(equality)]) ).
cnf(3296,plain,
( unit = e2
| unit = e0
| unit = e1
| e0 != op(e2,e0) ),
inference(spm,[status(thm)],[159,272,theory(equality)]) ).
cnf(3337,plain,
( unit = e2
| unit = e0
| e3 != op(e3,e2)
| ~ epred1_0 ),
inference(spm,[status(thm)],[119,3234,theory(equality)]) ).
cnf(3388,plain,
( unit = e2
| unit = e0
| e0 != op(e0,e2)
| ~ epred1_0 ),
inference(spm,[status(thm)],[137,3236,theory(equality)]) ).
cnf(3479,plain,
( e1 = e0
| e1 = e2
| op(e2,e2) = e1
| unit = e2
| unit = e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[237,3237,theory(equality)]) ).
cnf(3489,plain,
( e1 = e2
| op(e2,e2) = e1
| unit = e2
| unit = e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[3479,170,theory(equality)]) ).
cnf(3490,plain,
( op(e2,e2) = e1
| unit = e2
| unit = e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[3489,167,theory(equality)]) ).
cnf(3497,plain,
( unit = e2
| unit = e0
| e3 != op(e1,e2)
| ~ epred1_0 ),
inference(spm,[status(thm)],[129,3238,theory(equality)]) ).
cnf(3519,plain,
( unit = e2
| unit = e0
| e2 != op(e0,e2)
| ~ epred1_0 ),
inference(spm,[status(thm)],[152,3239,theory(equality)]) ).
cnf(3631,plain,
( unit = e2
| unit = e0
| op(e3,e2) != e3 ),
inference(csr,[status(thm)],[3337,274]) ).
cnf(3633,plain,
( unit = e0
| unit = e2
| op(e1,e2) = e3
| op(e0,e2) = e3
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[3631,70,theory(equality)]) ).
cnf(4410,plain,
( unit = e2
| unit = e0
| op(e1,e2) != e3 ),
inference(csr,[status(thm)],[3497,706]) ).
cnf(5830,plain,
( op(e2,e0) = e2
| op(e2,e0) = e0
| epred1_0 ),
inference(csr,[status(thm)],[3111,1483]) ).
cnf(5836,plain,
( unit = e1
| unit = e0
| unit = e2
| op(e2,e0) = e2
| epred1_0 ),
inference(spm,[status(thm)],[3296,5830,theory(equality)]) ).
cnf(5841,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[5836,3176]) ).
cnf(5842,plain,
( unit = e1
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[5841,3244]) ).
cnf(5845,plain,
( op(e3,e1) = e3
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[54,5842,theory(equality)]) ).
cnf(5873,plain,
( epred1_0
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[289,5845,theory(equality)]) ).
cnf(5893,plain,
( op(e3,e0) = e3
| unit = e2
| epred1_0 ),
inference(spm,[status(thm)],[54,5873,theory(equality)]) ).
cnf(5908,plain,
( unit = e2
| epred1_0 ),
inference(csr,[status(thm)],[5893,275]) ).
cnf(5909,plain,
( op(e3,e2) = e3
| epred1_0 ),
inference(spm,[status(thm)],[54,5908,theory(equality)]) ).
cnf(5932,plain,
epred1_0,
inference(csr,[status(thm)],[5909,274]) ).
cnf(6048,plain,
( unit = e0
| unit = e2
| op(e0,e2) != e2
| $false ),
inference(rw,[status(thm)],[3519,5932,theory(equality)]) ).
cnf(6049,plain,
( unit = e0
| unit = e2
| op(e0,e2) != e2 ),
inference(cn,[status(thm)],[6048,theory(equality)]) ).
cnf(6058,plain,
( op(e2,e2) = e1
| unit = e0
| unit = e2
| $false ),
inference(rw,[status(thm)],[3490,5932,theory(equality)]) ).
cnf(6059,plain,
( op(e2,e2) = e1
| unit = e0
| unit = e2 ),
inference(cn,[status(thm)],[6058,theory(equality)]) ).
cnf(6072,plain,
( unit = e0
| unit = e2
| op(e0,e2) != e0
| $false ),
inference(rw,[status(thm)],[3388,5932,theory(equality)]) ).
cnf(6073,plain,
( unit = e0
| unit = e2
| op(e0,e2) != e0 ),
inference(cn,[status(thm)],[6072,theory(equality)]) ).
cnf(6133,plain,
( op(e1,e1) = e1
| op(e1,e1) = e0
| op(e1,e1) = e2
| $false ),
inference(rw,[status(thm)],[241,5932,theory(equality)]) ).
cnf(6134,plain,
( op(e1,e1) = e1
| op(e1,e1) = e0
| op(e1,e1) = e2 ),
inference(cn,[status(thm)],[6133,theory(equality)]) ).
cnf(6143,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| $false ),
inference(rw,[status(thm)],[246,5932,theory(equality)]) ).
cnf(6144,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(cn,[status(thm)],[6143,theory(equality)]) ).
cnf(6165,plain,
( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| $false ),
inference(rw,[status(thm)],[221,5932,theory(equality)]) ).
cnf(6166,plain,
( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cn,[status(thm)],[6165,theory(equality)]) ).
cnf(6223,plain,
( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| $false ),
inference(rw,[status(thm)],[201,5932,theory(equality)]) ).
cnf(6224,plain,
( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[6223,theory(equality)]) ).
cnf(6245,plain,
( op(e2,e2) = e1
| op(e2,e2) = e0
| op(e3,e3) = e2
| $false ),
inference(rw,[status(thm)],[219,5932,theory(equality)]) ).
cnf(6246,plain,
( op(e2,e2) = e1
| op(e2,e2) = e0
| op(e3,e3) = e2 ),
inference(cn,[status(thm)],[6245,theory(equality)]) ).
cnf(7181,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[172,6144,theory(equality)]) ).
cnf(7396,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[52,6166,theory(equality)]) ).
cnf(35193,plain,
( op(e0,e2) = e2
| op(e0,e2) = e0
| op(e2,e2) != e3 ),
inference(csr,[status(thm)],[2939,196]) ).
cnf(35200,plain,
( unit = e2
| unit = e0
| op(e0,e2) = e2
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[6073,35193,theory(equality)]) ).
cnf(35220,plain,
( unit = e2
| unit = e0
| op(e2,e2) != e3 ),
inference(csr,[status(thm)],[35200,6049]) ).
cnf(40634,plain,
( op(e1,e2) = e3
| op(e0,e2) = e3
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[3633,35220]) ).
cnf(40635,plain,
( op(e0,e2) = e3
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[40634,4410]) ).
cnf(40638,plain,
( unit = e2
| unit = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[180,40635,theory(equality)]) ).
cnf(40675,plain,
( unit = e2
| unit = e0 ),
inference(csr,[status(thm)],[40638,6059]) ).
cnf(40677,plain,
( op(e3,e0) = e3
| unit = e2 ),
inference(spm,[status(thm)],[54,40675,theory(equality)]) ).
cnf(40679,plain,
( op(e0,e0) = e0
| unit = e2 ),
inference(spm,[status(thm)],[60,40675,theory(equality)]) ).
cnf(40681,plain,
( op(e0,e3) = e3
| unit = e2 ),
inference(spm,[status(thm)],[55,40675,theory(equality)]) ).
cnf(40740,plain,
( op(e2,e1) = e3
| op(e0,e1) = e3
| op(e1,e1) = e3
| unit = e2 ),
inference(spm,[status(thm)],[2816,40677,theory(equality)]) ).
cnf(40812,plain,
( e0 = e1
| e0 = e2
| unit = e2
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[7181,40679,theory(equality)]) ).
cnf(40852,plain,
( e0 = e2
| unit = e2
| op(e2,e1) != e3 ),
inference(sr,[status(thm)],[40812,170,theory(equality)]) ).
cnf(40853,plain,
( unit = e2
| op(e2,e1) != e3 ),
inference(sr,[status(thm)],[40852,169,theory(equality)]) ).
cnf(40975,plain,
( unit = e2
| e3 != op(e0,e1) ),
inference(spm,[status(thm)],[136,40681,theory(equality)]) ).
cnf(43035,plain,
( op(e2,e1) = e3
| op(e1,e1) = e3
| unit = e2 ),
inference(csr,[status(thm)],[40740,40975]) ).
cnf(43036,plain,
( op(e1,e1) = e3
| unit = e2 ),
inference(csr,[status(thm)],[43035,40853]) ).
cnf(43046,plain,
( e3 = e2
| e3 = e0
| e3 = e1
| unit = e2 ),
inference(spm,[status(thm)],[6134,43036,theory(equality)]) ).
cnf(43150,plain,
( e3 = e0
| e3 = e1
| unit = e2 ),
inference(sr,[status(thm)],[43046,165,theory(equality)]) ).
cnf(43151,plain,
( e3 = e1
| unit = e2 ),
inference(sr,[status(thm)],[43150,168,theory(equality)]) ).
cnf(43152,plain,
unit = e2,
inference(sr,[status(thm)],[43151,166,theory(equality)]) ).
cnf(43270,plain,
op(e2,e1) = e1,
inference(rw,[status(thm)],[59,43152,theory(equality)]) ).
cnf(43272,plain,
op(e2,e2) = e2,
inference(rw,[status(thm)],[57,43152,theory(equality)]) ).
cnf(43275,plain,
op(e0,e2) = e0,
inference(rw,[status(thm)],[60,43152,theory(equality)]) ).
cnf(43505,plain,
( e1 = e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e3
| op(e0,e1) = e3
| op(e1,e1) = e3 ),
inference(rw,[status(thm)],[2840,43270,theory(equality)]) ).
cnf(43506,plain,
( e1 = e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| e1 = e3
| op(e0,e1) = e3
| op(e1,e1) = e3 ),
inference(rw,[status(thm)],[43505,43270,theory(equality)]) ).
cnf(43507,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| e3 = e1
| op(e0,e1) = e3
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[43506,170,theory(equality)]) ).
cnf(43508,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e3
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[43507,166,theory(equality)]) ).
cnf(43933,plain,
( e2 = e1
| op(e2,e2) = e0
| op(e0,e1) != e3 ),
inference(rw,[status(thm)],[7396,43272,theory(equality)]) ).
cnf(43934,plain,
( e2 = e1
| e2 = e0
| op(e0,e1) != e3 ),
inference(rw,[status(thm)],[43933,43272,theory(equality)]) ).
cnf(43935,plain,
( e0 = e2
| op(e0,e1) != e3 ),
inference(sr,[status(thm)],[43934,167,theory(equality)]) ).
cnf(43936,plain,
op(e0,e1) != e3,
inference(sr,[status(thm)],[43935,169,theory(equality)]) ).
cnf(44009,plain,
( op(e3,e3) = e2
| e2 = e0
| op(e2,e2) = e1 ),
inference(rw,[status(thm)],[6246,43272,theory(equality)]) ).
cnf(44010,plain,
( op(e3,e3) = e2
| e2 = e0
| e2 = e1 ),
inference(rw,[status(thm)],[44009,43272,theory(equality)]) ).
cnf(44011,plain,
( op(e3,e3) = e2
| e1 = e2 ),
inference(sr,[status(thm)],[44010,169,theory(equality)]) ).
cnf(44012,plain,
op(e3,e3) = e2,
inference(sr,[status(thm)],[44011,167,theory(equality)]) ).
cnf(44392,plain,
op(e0,e1) != e0,
inference(rw,[status(thm)],[137,43275,theory(equality)]) ).
cnf(44607,plain,
( e2 = e0
| op(e3,e3) = e1
| op(e1,e1) = e2 ),
inference(rw,[status(thm)],[6224,44012,theory(equality)]) ).
cnf(44608,plain,
( op(e3,e3) = e1
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[44607,169,theory(equality)]) ).
cnf(44609,plain,
( e2 = e1
| op(e1,e1) = e2 ),
inference(rw,[status(thm)],[44608,44012,theory(equality)]) ).
cnf(44610,plain,
op(e1,e1) = e2,
inference(sr,[status(thm)],[44609,167,theory(equality)]) ).
cnf(45496,plain,
( op(e0,e1) = e0
| e2 = e0
| op(e0,e1) = e3
| op(e1,e1) = e3 ),
inference(rw,[status(thm)],[43508,44610,theory(equality)]) ).
cnf(45497,plain,
( op(e0,e1) = e0
| e2 = e0
| op(e0,e1) = e3
| e2 = e3 ),
inference(rw,[status(thm)],[45496,44610,theory(equality)]) ).
cnf(45498,plain,
( e0 = e2
| op(e0,e1) = e3
| e3 = e2 ),
inference(sr,[status(thm)],[45497,44392,theory(equality)]) ).
cnf(45499,plain,
( op(e0,e1) = e3
| e3 = e2 ),
inference(sr,[status(thm)],[45498,169,theory(equality)]) ).
cnf(45500,plain,
e3 = e2,
inference(sr,[status(thm)],[45499,43936,theory(equality)]) ).
cnf(45501,plain,
$false,
inference(sr,[status(thm)],[45500,165,theory(equality)]) ).
cnf(45502,plain,
$false,
45501,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG045+1.p
% --creating new selector for []
% -running prover on /tmp/tmpzsQjBu/sel_ALG045+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem ALG045+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG045+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG045+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Unsatisfiable
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------