%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG058+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:18 PM UTC 2026
% Result : Theorem 4.45s 1.28s
% Output : CNFRefutation 4.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 161
% Syntax : Number of formulae : 918 ( 205 unt; 154 def)
% Number of atoms : 4829 (3648 equ)
% Maximal formula atoms : 450 ( 5 avg)
% Number of connectives : 6271 (2360 ~;2308 |;1603 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 156 ( 154 usr; 155 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e4 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( ( ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( ( ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( ( ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
inference(flattening,[],[f8]) ).
fof(f165,plain,
( ~ sP153
| ( sP124
& sP125
& sP126
& sP127
& sP128
& sP129
& sP130
& sP131
& sP132
& sP133
& sP134
& sP135
& sP136
& sP137
& sP138
& sP139
& sP140
& sP141
& sP142
& sP143
& sP144
& sP145
& sP146
& sP147
& sP148 ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f166,plain,
( ~ sP152
| ( sP99
& sP100
& sP101
& sP102
& sP103
& sP104
& sP105
& sP106
& sP107
& sP108
& sP109
& sP110
& sP111
& sP112
& sP113
& sP114
& sP115
& sP116
& sP117
& sP118
& sP119
& sP120
& sP121
& sP122
& sP123 ) ),
inference(nnf_transformation,[],[f162]) ).
fof(f167,plain,
( ~ sP151
| ( sP74
& sP75
& sP76
& sP77
& sP78
& sP79
& sP80
& sP81
& sP82
& sP83
& sP84
& sP85
& sP86
& sP87
& sP88
& sP89
& sP90
& sP91
& sP92
& sP93
& sP94
& sP95
& sP96
& sP97
& sP98 ) ),
inference(nnf_transformation,[],[f161]) ).
fof(f168,plain,
( ~ sP150
| ( sP49
& sP50
& sP51
& sP52
& sP53
& sP54
& sP55
& sP56
& sP57
& sP58
& sP59
& sP60
& sP61
& sP62
& sP63
& sP64
& sP65
& sP66
& sP67
& sP68
& sP69
& sP70
& sP71
& sP72
& sP73 ) ),
inference(nnf_transformation,[],[f160]) ).
fof(f169,plain,
( ~ sP149
| ( sP24
& sP25
& sP26
& sP27
& sP28
& sP29
& sP30
& sP31
& sP32
& sP33
& sP34
& sP35
& sP36
& sP37
& sP38
& sP39
& sP40
& sP41
& sP42
& sP43
& sP44
& sP45
& sP46
& sP47
& sP48 ) ),
inference(nnf_transformation,[],[f159]) ).
fof(f170,plain,
( ~ sP148
| ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ),
inference(nnf_transformation,[],[f158]) ).
fof(f174,plain,
( ~ sP144
| ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 ),
inference(nnf_transformation,[],[f154]) ).
fof(f176,plain,
( ~ sP142
| ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 ),
inference(nnf_transformation,[],[f152]) ).
fof(f179,plain,
( ~ sP139
| ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 ),
inference(nnf_transformation,[],[f149]) ).
fof(f183,plain,
( ~ sP135
| ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 ),
inference(nnf_transformation,[],[f145]) ).
fof(f184,plain,
( ~ sP134
| ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 ),
inference(nnf_transformation,[],[f144]) ).
fof(f189,plain,
( ~ sP129
| ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 ),
inference(nnf_transformation,[],[f139]) ).
fof(f193,plain,
( ~ sP125
| ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 ),
inference(nnf_transformation,[],[f135]) ).
fof(f194,plain,
( ~ sP124
| ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 ),
inference(nnf_transformation,[],[f134]) ).
fof(f195,plain,
( ~ sP123
| ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ),
inference(nnf_transformation,[],[f133]) ).
fof(f199,plain,
( ~ sP119
| ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 ),
inference(nnf_transformation,[],[f129]) ).
fof(f203,plain,
( ~ sP115
| ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 ),
inference(nnf_transformation,[],[f125]) ).
fof(f204,plain,
( ~ sP114
| ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 ),
inference(nnf_transformation,[],[f124]) ).
fof(f205,plain,
( ~ sP113
| ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 ),
inference(nnf_transformation,[],[f123]) ).
fof(f208,plain,
( ~ sP110
| ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 ),
inference(nnf_transformation,[],[f120]) ).
fof(f209,plain,
( ~ sP109
| ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 ),
inference(nnf_transformation,[],[f119]) ).
fof(f212,plain,
( ~ sP106
| ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 ),
inference(nnf_transformation,[],[f116]) ).
fof(f215,plain,
( ~ sP103
| ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 ),
inference(nnf_transformation,[],[f113]) ).
fof(f218,plain,
( ~ sP100
| ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 ),
inference(nnf_transformation,[],[f110]) ).
fof(f220,plain,
( ~ sP98
| ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ),
inference(nnf_transformation,[],[f108]) ).
fof(f221,plain,
( ~ sP97
| ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 ),
inference(nnf_transformation,[],[f107]) ).
fof(f222,plain,
( ~ sP96
| ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 ),
inference(nnf_transformation,[],[f106]) ).
fof(f223,plain,
( ~ sP95
| ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 ),
inference(nnf_transformation,[],[f105]) ).
fof(f224,plain,
( ~ sP94
| ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 ),
inference(nnf_transformation,[],[f104]) ).
fof(f225,plain,
( ~ sP93
| ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 ),
inference(nnf_transformation,[],[f103]) ).
fof(f228,plain,
( ~ sP90
| ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 ),
inference(nnf_transformation,[],[f100]) ).
fof(f229,plain,
( ~ sP89
| ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 ),
inference(nnf_transformation,[],[f99]) ).
fof(f230,plain,
( ~ sP88
| ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 ),
inference(nnf_transformation,[],[f98]) ).
fof(f231,plain,
( ~ sP87
| ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 ),
inference(nnf_transformation,[],[f97]) ).
fof(f234,plain,
( ~ sP84
| ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 ),
inference(nnf_transformation,[],[f94]) ).
fof(f235,plain,
( ~ sP83
| ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 ),
inference(nnf_transformation,[],[f93]) ).
fof(f239,plain,
( ~ sP79
| ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 ),
inference(nnf_transformation,[],[f89]) ).
fof(f240,plain,
( ~ sP78
| ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 ),
inference(nnf_transformation,[],[f88]) ).
fof(f241,plain,
( ~ sP77
| ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 ),
inference(nnf_transformation,[],[f87]) ).
fof(f243,plain,
( ~ sP75
| ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 ),
inference(nnf_transformation,[],[f85]) ).
fof(f244,plain,
( ~ sP74
| ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 ),
inference(nnf_transformation,[],[f84]) ).
fof(f246,plain,
( ~ sP72
| ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 ),
inference(nnf_transformation,[],[f82]) ).
fof(f249,plain,
( ~ sP69
| ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 ),
inference(nnf_transformation,[],[f79]) ).
fof(f250,plain,
( ~ sP68
| ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 ),
inference(nnf_transformation,[],[f78]) ).
fof(f254,plain,
( ~ sP64
| ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 ),
inference(nnf_transformation,[],[f74]) ).
fof(f257,plain,
( ~ sP61
| ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 ),
inference(nnf_transformation,[],[f71]) ).
fof(f260,plain,
( ~ sP58
| ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 ),
inference(nnf_transformation,[],[f68]) ).
fof(f261,plain,
( ~ sP57
| ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 ),
inference(nnf_transformation,[],[f67]) ).
fof(f265,plain,
( ~ sP53
| ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 ),
inference(nnf_transformation,[],[f63]) ).
fof(f269,plain,
( ~ sP49
| ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 ),
inference(nnf_transformation,[],[f59]) ).
fof(f270,plain,
( ~ sP48
| ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ),
inference(nnf_transformation,[],[f58]) ).
fof(f271,plain,
( ~ sP47
| ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 ),
inference(nnf_transformation,[],[f57]) ).
fof(f272,plain,
( ~ sP46
| ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 ),
inference(nnf_transformation,[],[f56]) ).
fof(f273,plain,
( ~ sP45
| ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 ),
inference(nnf_transformation,[],[f55]) ).
fof(f274,plain,
( ~ sP44
| ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 ),
inference(nnf_transformation,[],[f54]) ).
fof(f275,plain,
( ~ sP43
| ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 ),
inference(nnf_transformation,[],[f53]) ).
fof(f280,plain,
( ~ sP38
| ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 ),
inference(nnf_transformation,[],[f48]) ).
fof(f281,plain,
( ~ sP37
| ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 ),
inference(nnf_transformation,[],[f47]) ).
fof(f288,plain,
( ~ sP30
| ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 ),
inference(nnf_transformation,[],[f40]) ).
fof(f290,plain,
( ~ sP28
| ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 ),
inference(nnf_transformation,[],[f38]) ).
fof(f291,plain,
( ~ sP27
| ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 ),
inference(nnf_transformation,[],[f37]) ).
fof(f292,plain,
( ~ sP26
| ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 ),
inference(nnf_transformation,[],[f36]) ).
fof(f295,plain,
( ~ sP23
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f296,plain,
( ~ sP22
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f297,plain,
( ~ sP21
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f298,plain,
( ~ sP20
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f299,plain,
( ~ sP19
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f300,plain,
( ~ sP18
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f301,plain,
( ~ sP17
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f302,plain,
( ~ sP16
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f303,plain,
( ~ sP15
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f304,plain,
( ~ sP14
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f305,plain,
( ~ sP13
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f306,plain,
( ~ sP12
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f307,plain,
( ~ sP11
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f308,plain,
( ~ sP10
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f309,plain,
( ~ sP9
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f310,plain,
( ~ sP8
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f311,plain,
( ~ sP7
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f312,plain,
( ~ sP6
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f313,plain,
( ~ sP5
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f314,plain,
( ~ sP4
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f315,plain,
( ~ sP3
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f316,plain,
( ~ sP2
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f317,plain,
( ~ sP1
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f319,plain,
( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f320,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f321,plain,
( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f324,plain,
( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f327,plain,
( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f328,plain,
( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f329,plain,
( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f330,plain,
( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f333,plain,
( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f334,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f335,plain,
( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f338,plain,
( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f340,plain,
( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f342,plain,
( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f344,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f345,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f348,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f356,plain,
( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f357,plain,
( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f358,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f359,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f361,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f362,plain,
( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f363,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f364,plain,
( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f368,plain,
( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f369,plain,
( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f370,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f371,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f373,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f374,plain,
( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f375,plain,
( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f380,plain,
( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f382,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f383,plain,
( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f384,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f385,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f387,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f388,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f389,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f391,plain,
( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f392,plain,
( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f395,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f396,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f397,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f398,plain,
( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f399,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f401,plain,
( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f402,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f403,plain,
( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f405,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f406,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f407,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f408,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f409,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f411,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f412,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f414,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f415,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f416,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f417,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f418,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f419,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f420,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f421,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f422,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f423,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f424,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f426,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f427,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f428,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f430,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f431,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f432,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f433,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f434,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f435,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f436,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f438,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f439,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f440,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f441,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f442,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f444,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f447,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f448,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f449,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f450,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f451,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f452,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f454,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f455,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f456,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f457,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f458,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f459,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f461,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f465,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f466,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f467,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f468,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f469,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f471,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f472,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f473,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f474,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f475,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f476,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f477,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f479,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f480,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f482,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f483,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f486,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f487,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f488,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f489,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f490,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f491,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f492,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f493,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f494,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f495,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f497,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f498,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f499,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f500,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f502,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f503,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f504,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f505,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f506,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f507,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f508,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f509,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f510,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f511,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f512,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f513,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f514,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f515,plain,
e4 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f516,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f517,plain,
e1 = op(op(e2,e2),e2),
inference(cnf_transformation,[],[f6]) ).
fof(f518,plain,
e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f519,plain,
( ~ sP153
| sP124 ),
inference(cnf_transformation,[],[f165]) ).
fof(f520,plain,
( ~ sP153
| sP125 ),
inference(cnf_transformation,[],[f165]) ).
fof(f524,plain,
( ~ sP153
| sP129 ),
inference(cnf_transformation,[],[f165]) ).
fof(f529,plain,
( ~ sP153
| sP134 ),
inference(cnf_transformation,[],[f165]) ).
fof(f530,plain,
( ~ sP153
| sP135 ),
inference(cnf_transformation,[],[f165]) ).
fof(f534,plain,
( ~ sP153
| sP139 ),
inference(cnf_transformation,[],[f165]) ).
fof(f537,plain,
( ~ sP153
| sP142 ),
inference(cnf_transformation,[],[f165]) ).
fof(f539,plain,
( ~ sP153
| sP144 ),
inference(cnf_transformation,[],[f165]) ).
fof(f543,plain,
( ~ sP153
| sP148 ),
inference(cnf_transformation,[],[f165]) ).
fof(f545,plain,
( ~ sP152
| sP100 ),
inference(cnf_transformation,[],[f166]) ).
fof(f548,plain,
( ~ sP152
| sP103 ),
inference(cnf_transformation,[],[f166]) ).
fof(f551,plain,
( ~ sP152
| sP106 ),
inference(cnf_transformation,[],[f166]) ).
fof(f554,plain,
( ~ sP152
| sP109 ),
inference(cnf_transformation,[],[f166]) ).
fof(f555,plain,
( ~ sP152
| sP110 ),
inference(cnf_transformation,[],[f166]) ).
fof(f558,plain,
( ~ sP152
| sP113 ),
inference(cnf_transformation,[],[f166]) ).
fof(f559,plain,
( ~ sP152
| sP114 ),
inference(cnf_transformation,[],[f166]) ).
fof(f560,plain,
( ~ sP152
| sP115 ),
inference(cnf_transformation,[],[f166]) ).
fof(f564,plain,
( ~ sP152
| sP119 ),
inference(cnf_transformation,[],[f166]) ).
fof(f568,plain,
( ~ sP152
| sP123 ),
inference(cnf_transformation,[],[f166]) ).
fof(f569,plain,
( ~ sP151
| sP74 ),
inference(cnf_transformation,[],[f167]) ).
fof(f570,plain,
( ~ sP151
| sP75 ),
inference(cnf_transformation,[],[f167]) ).
fof(f572,plain,
( ~ sP151
| sP77 ),
inference(cnf_transformation,[],[f167]) ).
fof(f573,plain,
( ~ sP151
| sP78 ),
inference(cnf_transformation,[],[f167]) ).
fof(f574,plain,
( ~ sP151
| sP79 ),
inference(cnf_transformation,[],[f167]) ).
fof(f578,plain,
( ~ sP151
| sP83 ),
inference(cnf_transformation,[],[f167]) ).
fof(f579,plain,
( ~ sP151
| sP84 ),
inference(cnf_transformation,[],[f167]) ).
fof(f582,plain,
( ~ sP151
| sP87 ),
inference(cnf_transformation,[],[f167]) ).
fof(f583,plain,
( ~ sP151
| sP88 ),
inference(cnf_transformation,[],[f167]) ).
fof(f584,plain,
( ~ sP151
| sP89 ),
inference(cnf_transformation,[],[f167]) ).
fof(f585,plain,
( ~ sP151
| sP90 ),
inference(cnf_transformation,[],[f167]) ).
fof(f588,plain,
( ~ sP151
| sP93 ),
inference(cnf_transformation,[],[f167]) ).
fof(f589,plain,
( ~ sP151
| sP94 ),
inference(cnf_transformation,[],[f167]) ).
fof(f590,plain,
( ~ sP151
| sP95 ),
inference(cnf_transformation,[],[f167]) ).
fof(f591,plain,
( ~ sP151
| sP96 ),
inference(cnf_transformation,[],[f167]) ).
fof(f592,plain,
( ~ sP151
| sP97 ),
inference(cnf_transformation,[],[f167]) ).
fof(f593,plain,
( ~ sP151
| sP98 ),
inference(cnf_transformation,[],[f167]) ).
fof(f594,plain,
( ~ sP150
| sP49 ),
inference(cnf_transformation,[],[f168]) ).
fof(f598,plain,
( ~ sP150
| sP53 ),
inference(cnf_transformation,[],[f168]) ).
fof(f602,plain,
( ~ sP150
| sP57 ),
inference(cnf_transformation,[],[f168]) ).
fof(f603,plain,
( ~ sP150
| sP58 ),
inference(cnf_transformation,[],[f168]) ).
fof(f606,plain,
( ~ sP150
| sP61 ),
inference(cnf_transformation,[],[f168]) ).
fof(f609,plain,
( ~ sP150
| sP64 ),
inference(cnf_transformation,[],[f168]) ).
fof(f613,plain,
( ~ sP150
| sP68 ),
inference(cnf_transformation,[],[f168]) ).
fof(f614,plain,
( ~ sP150
| sP69 ),
inference(cnf_transformation,[],[f168]) ).
fof(f617,plain,
( ~ sP150
| sP72 ),
inference(cnf_transformation,[],[f168]) ).
fof(f621,plain,
( ~ sP149
| sP26 ),
inference(cnf_transformation,[],[f169]) ).
fof(f622,plain,
( ~ sP149
| sP27 ),
inference(cnf_transformation,[],[f169]) ).
fof(f623,plain,
( ~ sP149
| sP28 ),
inference(cnf_transformation,[],[f169]) ).
fof(f625,plain,
( ~ sP149
| sP30 ),
inference(cnf_transformation,[],[f169]) ).
fof(f632,plain,
( ~ sP149
| sP37 ),
inference(cnf_transformation,[],[f169]) ).
fof(f633,plain,
( ~ sP149
| sP38 ),
inference(cnf_transformation,[],[f169]) ).
fof(f638,plain,
( ~ sP149
| sP43 ),
inference(cnf_transformation,[],[f169]) ).
fof(f639,plain,
( ~ sP149
| sP44 ),
inference(cnf_transformation,[],[f169]) ).
fof(f640,plain,
( ~ sP149
| sP45 ),
inference(cnf_transformation,[],[f169]) ).
fof(f641,plain,
( ~ sP149
| sP46 ),
inference(cnf_transformation,[],[f169]) ).
fof(f642,plain,
( ~ sP149
| sP47 ),
inference(cnf_transformation,[],[f169]) ).
fof(f643,plain,
( ~ sP149
| sP48 ),
inference(cnf_transformation,[],[f169]) ).
fof(f644,plain,
( ~ sP148
| e0 != unit
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f652,plain,
( ~ sP144
| e0 != unit
| e0 != op(e0,e4) ),
inference(cnf_transformation,[],[f174]) ).
fof(f657,plain,
( ~ sP142
| e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f662,plain,
( ~ sP139
| e0 != unit
| e0 != op(e1,e4) ),
inference(cnf_transformation,[],[f179]) ).
fof(f671,plain,
( ~ sP135
| e3 = op(e2,e0)
| e0 != op(e2,e3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f672,plain,
( ~ sP134
| e0 != unit
| e0 != op(e2,e4) ),
inference(cnf_transformation,[],[f184]) ).
fof(f673,plain,
( ~ sP134
| e4 = op(e2,e0)
| e0 != op(e2,e4) ),
inference(cnf_transformation,[],[f184]) ).
fof(f682,plain,
( ~ sP129
| e0 != unit
| e0 != op(e3,e4) ),
inference(cnf_transformation,[],[f189]) ).
fof(f683,plain,
( ~ sP129
| e4 = op(e3,e0)
| e0 != op(e3,e4) ),
inference(cnf_transformation,[],[f189]) ).
fof(f691,plain,
( ~ sP125
| e3 = op(e4,e0)
| e0 != op(e4,e3) ),
inference(cnf_transformation,[],[f193]) ).
fof(f692,plain,
( ~ sP124
| e0 != unit
| e0 != op(e4,e4) ),
inference(cnf_transformation,[],[f194]) ).
fof(f695,plain,
( ~ sP123
| e0 = op(e0,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f195]) ).
fof(f703,plain,
( ~ sP119
| e4 = op(e0,e1)
| e1 != op(e0,e4) ),
inference(cnf_transformation,[],[f199]) ).
fof(f711,plain,
( ~ sP115
| e3 = op(e1,e1)
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f713,plain,
( ~ sP114
| e4 = op(e1,e1)
| e1 != op(e1,e4) ),
inference(cnf_transformation,[],[f204]) ).
fof(f715,plain,
( ~ sP113
| e0 = op(e2,e1)
| e1 != op(e2,e0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f721,plain,
( ~ sP110
| e3 = op(e2,e1)
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f208]) ).
fof(f723,plain,
( ~ sP109
| e4 = op(e2,e1)
| e1 != op(e2,e4) ),
inference(cnf_transformation,[],[f209]) ).
fof(f729,plain,
( ~ sP106
| e2 = op(e3,e1)
| e1 != op(e3,e2) ),
inference(cnf_transformation,[],[f212]) ).
fof(f735,plain,
( ~ sP103
| e0 = op(e4,e1)
| e1 != op(e4,e0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f741,plain,
( ~ sP100
| e3 = op(e4,e1)
| e1 != op(e4,e3) ),
inference(cnf_transformation,[],[f218]) ).
fof(f745,plain,
( ~ sP98
| e0 = op(e0,e2)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f220]) ).
fof(f747,plain,
( ~ sP97
| e1 = op(e0,e2)
| e2 != op(e0,e1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f748,plain,
( ~ sP96
| e2 != unit
| e2 != op(e0,e2) ),
inference(cnf_transformation,[],[f222]) ).
fof(f751,plain,
( ~ sP95
| e3 = op(e0,e2)
| e2 != op(e0,e3) ),
inference(cnf_transformation,[],[f223]) ).
fof(f752,plain,
( ~ sP94
| e2 != unit
| e2 != op(e0,e4) ),
inference(cnf_transformation,[],[f224]) ).
fof(f755,plain,
( ~ sP93
| e0 = op(e1,e2)
| e2 != op(e1,e0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f761,plain,
( ~ sP90
| e3 = op(e1,e2)
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f228]) ).
fof(f762,plain,
( ~ sP89
| e2 != unit
| e2 != op(e1,e4) ),
inference(cnf_transformation,[],[f229]) ).
fof(f765,plain,
( ~ sP88
| e0 = op(e2,e2)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f767,plain,
( ~ sP87
| e1 = op(e2,e2)
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f772,plain,
( ~ sP84
| e2 != unit
| e2 != op(e2,e4) ),
inference(cnf_transformation,[],[f234]) ).
fof(f773,plain,
( ~ sP84
| e4 = op(e2,e2)
| e2 != op(e2,e4) ),
inference(cnf_transformation,[],[f234]) ).
fof(f775,plain,
( ~ sP83
| e0 = op(e3,e2)
| e2 != op(e3,e0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f782,plain,
( ~ sP79
| e2 != unit
| e2 != op(e3,e4) ),
inference(cnf_transformation,[],[f239]) ).
fof(f783,plain,
( ~ sP79
| e4 = op(e3,e2)
| e2 != op(e3,e4) ),
inference(cnf_transformation,[],[f239]) ).
fof(f785,plain,
( ~ sP78
| e0 = op(e4,e2)
| e2 != op(e4,e0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f787,plain,
( ~ sP77
| e1 = op(e4,e2)
| e2 != op(e4,e1) ),
inference(cnf_transformation,[],[f241]) ).
fof(f791,plain,
( ~ sP75
| e3 = op(e4,e2)
| e2 != op(e4,e3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f792,plain,
( ~ sP74
| e2 != unit
| e2 != op(e4,e4) ),
inference(cnf_transformation,[],[f244]) ).
fof(f797,plain,
( ~ sP72
| e1 = op(e0,e3)
| e3 != op(e0,e1) ),
inference(cnf_transformation,[],[f246]) ).
fof(f803,plain,
( ~ sP69
| e4 = op(e0,e3)
| e3 != op(e0,e4) ),
inference(cnf_transformation,[],[f249]) ).
fof(f805,plain,
( ~ sP68
| e0 = op(e1,e3)
| e3 != op(e1,e0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f813,plain,
( ~ sP64
| e4 = op(e1,e3)
| e3 != op(e1,e4) ),
inference(cnf_transformation,[],[f254]) ).
fof(f819,plain,
( ~ sP61
| e2 = op(e2,e3)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f257]) ).
fof(f825,plain,
( ~ sP58
| e0 = op(e3,e3)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f827,plain,
( ~ sP57
| e1 = op(e3,e3)
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f835,plain,
( ~ sP53
| e0 = op(e4,e3)
| e3 != op(e4,e0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f843,plain,
( ~ sP49
| e4 = op(e4,e3)
| e3 != op(e4,e4) ),
inference(cnf_transformation,[],[f269]) ).
fof(f844,plain,
( ~ sP48
| e4 != unit
| op(e0,e0) != e4 ),
inference(cnf_transformation,[],[f270]) ).
fof(f845,plain,
( ~ sP48
| e0 = op(e0,e4)
| op(e0,e0) != e4 ),
inference(cnf_transformation,[],[f270]) ).
fof(f846,plain,
( ~ sP47
| e4 != unit
| e4 != op(e0,e1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f847,plain,
( ~ sP47
| e1 = op(e0,e4)
| e4 != op(e0,e1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f848,plain,
( ~ sP46
| e4 != unit
| e4 != op(e0,e2) ),
inference(cnf_transformation,[],[f272]) ).
fof(f850,plain,
( ~ sP45
| e4 != unit
| e4 != op(e0,e3) ),
inference(cnf_transformation,[],[f273]) ).
fof(f852,plain,
( ~ sP44
| e4 != unit
| e4 != op(e0,e4) ),
inference(cnf_transformation,[],[f274]) ).
fof(f855,plain,
( ~ sP43
| e0 = op(e1,e4)
| e4 != op(e1,e0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f865,plain,
( ~ sP38
| e0 = op(e2,e4)
| e4 != op(e2,e0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f867,plain,
( ~ sP37
| e1 = op(e2,e4)
| e4 != op(e2,e1) ),
inference(cnf_transformation,[],[f281]) ).
fof(f881,plain,
( ~ sP30
| e3 = op(e3,e4)
| e4 != op(e3,e3) ),
inference(cnf_transformation,[],[f288]) ).
fof(f885,plain,
( ~ sP28
| e0 = op(e4,e4)
| e4 != op(e4,e0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f887,plain,
( ~ sP27
| e1 = op(e4,e4)
| e4 != op(e4,e1) ),
inference(cnf_transformation,[],[f291]) ).
fof(f889,plain,
( ~ sP26
| e2 = op(e4,e4)
| e4 != op(e4,e2) ),
inference(cnf_transformation,[],[f292]) ).
fof(f896,plain,
( ~ sP23
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f295]) ).
fof(f898,plain,
( ~ sP22
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f901,plain,
( ~ sP21
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f297]) ).
fof(f904,plain,
( ~ sP20
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f298]) ).
fof(f905,plain,
( ~ sP20
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f298]) ).
fof(f906,plain,
( ~ sP19
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f907,plain,
( ~ sP19
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f299]) ).
fof(f909,plain,
( ~ sP18
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f910,plain,
( ~ sP18
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f913,plain,
( ~ sP17
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f301]) ).
fof(f916,plain,
( ~ sP16
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f302]) ).
fof(f920,plain,
( ~ sP15
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f303]) ).
fof(f923,plain,
( ~ sP14
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f304]) ).
fof(f926,plain,
( ~ sP13
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f305]) ).
fof(f927,plain,
( ~ sP12
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f306]) ).
fof(f928,plain,
( ~ sP12
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f306]) ).
fof(f931,plain,
( ~ sP11
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f307]) ).
fof(f935,plain,
( ~ sP10
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f938,plain,
( ~ sP9
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f309]) ).
fof(f941,plain,
( ~ sP8
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f310]) ).
fof(f944,plain,
( ~ sP7
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f311]) ).
fof(f945,plain,
( ~ sP6
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f312]) ).
fof(f946,plain,
( ~ sP6
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f312]) ).
fof(f948,plain,
( ~ sP5
| e3 != op(e3,e4) ),
inference(cnf_transformation,[],[f313]) ).
fof(f949,plain,
( ~ sP5
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f313]) ).
fof(f952,plain,
( ~ sP4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f314]) ).
fof(f953,plain,
( ~ sP4
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f314]) ).
fof(f955,plain,
( ~ sP3
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f958,plain,
( ~ sP2
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f316]) ).
fof(f962,plain,
( ~ sP1
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f317]) ).
fof(f966,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f967,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f969,plain,
( sP149
| sP150
| sP151
| sP152
| sP153 ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_50,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_52,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_54,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_57,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_58,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e1 )
| ( op(e1,e4) = e0 ) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_59,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_62,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_63,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_64,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_65,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_68,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e2 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e0 ) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_71,plain,
( ( op(e4,e2) = e4 )
| ( op(e4,e2) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e2) = e1 )
| ( op(e4,e2) = e0 ) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_72,plain,
( ( op(e4,e3) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_73,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e4) = e3 )
| ( op(e4,e4) = e2 )
| ( op(e4,e4) = e1 )
| ( op(e4,e4) = e0 ) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_77,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f351]) ).
tcf(c_79,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f349]) ).
tcf(c_80,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f348]) ).
tcf(c_81,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f347]) ).
tcf(c_82,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],[f346]) ).
tcf(c_83,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],[f345]) ).
tcf(c_84,plain,
( ( e4 = unit )
| ( e3 = unit )
| ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit ) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_86,plain,
( ( op(e4,e0) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_87,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_88,plain,
( ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_90,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_91,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_92,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_93,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_94,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_97,plain,
( ( op(e1,e4) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_98,plain,
( ( op(e4,e1) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_100,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_101,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_102,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_104,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_105,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f384]) ).
tcf(c_106,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_107,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_109,plain,
( ( op(e2,e4) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_114,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_115,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_116,plain,
( ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f373]) ).
tcf(c_118,plain,
( ( op(e4,e3) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_119,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_120,plain,
( ( op(e4,e3) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_121,plain,
( ( op(e3,e4) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_125,plain,
( ( op(e4,e4) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_126,plain,
( ( op(e4,e4) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_127,plain,
( ( op(e4,e4) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_128,plain,
( ( op(e4,e4) = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_130,plain,
( ( op(e4,e4) = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_131,plain,
( ( op(e4,e4) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_132,plain,
( ( op(e4,e4) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_133,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e2) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e4,e0) = e4 ) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_135,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f504]) ).
tcf(c_136,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f503]) ).
tcf(c_137,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f502]) ).
tcf(c_139,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f500]) ).
tcf(c_140,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f499]) ).
tcf(c_141,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f498]) ).
tcf(c_142,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f497]) ).
tcf(c_144,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f495]) ).
tcf(c_145,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f494]) ).
tcf(c_146,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f493]) ).
tcf(c_147,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f492]) ).
tcf(c_148,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f491]) ).
tcf(c_149,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f490]) ).
tcf(c_150,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f489]) ).
tcf(c_151,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f488]) ).
tcf(c_152,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f487]) ).
tcf(c_153,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f486]) ).
tcf(c_156,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f483]) ).
tcf(c_157,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f482]) ).
tcf(c_159,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f480]) ).
tcf(c_160,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f479]) ).
tcf(c_162,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f477]) ).
tcf(c_163,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f476]) ).
tcf(c_164,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f475]) ).
tcf(c_165,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f474]) ).
tcf(c_166,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f473]) ).
tcf(c_167,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f472]) ).
tcf(c_168,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f471]) ).
tcf(c_170,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f469]) ).
tcf(c_171,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f468]) ).
tcf(c_172,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f467]) ).
tcf(c_173,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f466]) ).
tcf(c_174,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f465]) ).
tcf(c_178,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f461]) ).
tcf(c_180,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f459]) ).
tcf(c_181,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f458]) ).
tcf(c_182,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f457]) ).
tcf(c_183,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f456]) ).
tcf(c_184,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f455]) ).
tcf(c_185,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f454]) ).
tcf(c_187,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f452]) ).
tcf(c_188,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f451]) ).
tcf(c_189,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f450]) ).
tcf(c_190,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f449]) ).
tcf(c_191,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f448]) ).
tcf(c_192,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f447]) ).
tcf(c_195,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f444]) ).
tcf(c_197,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f442]) ).
tcf(c_198,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f441]) ).
tcf(c_199,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f440]) ).
tcf(c_200,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f439]) ).
tcf(c_201,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f438]) ).
tcf(c_203,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f436]) ).
tcf(c_204,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f435]) ).
tcf(c_205,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f434]) ).
tcf(c_206,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f433]) ).
tcf(c_207,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f432]) ).
tcf(c_208,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f431]) ).
tcf(c_209,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f430]) ).
tcf(c_211,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f428]) ).
tcf(c_212,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f427]) ).
tcf(c_213,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f426]) ).
tcf(c_215,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f424]) ).
tcf(c_216,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f423]) ).
tcf(c_217,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f422]) ).
tcf(c_218,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f421]) ).
tcf(c_219,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f420]) ).
tcf(c_220,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f419]) ).
tcf(c_221,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f418]) ).
tcf(c_222,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f417]) ).
tcf(c_223,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f416]) ).
tcf(c_224,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f415]) ).
tcf(c_225,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f414]) ).
tcf(c_227,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f412]) ).
tcf(c_228,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f411]) ).
tcf(c_230,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f409]) ).
tcf(c_231,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f408]) ).
tcf(c_232,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f407]) ).
tcf(c_233,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f406]) ).
tcf(c_234,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f405]) ).
tcf(c_235,plain,
e0 != e1,
inference(cnf_transformation,[],[f514]) ).
tcf(c_236,plain,
e0 != e2,
inference(cnf_transformation,[],[f513]) ).
tcf(c_237,plain,
e0 != e3,
inference(cnf_transformation,[],[f512]) ).
tcf(c_238,plain,
e0 != e4,
inference(cnf_transformation,[],[f511]) ).
tcf(c_239,plain,
e1 != e2,
inference(cnf_transformation,[],[f510]) ).
tcf(c_240,plain,
e1 != e3,
inference(cnf_transformation,[],[f509]) ).
tcf(c_241,plain,
e1 != e4,
inference(cnf_transformation,[],[f508]) ).
tcf(c_242,plain,
e2 != e3,
inference(cnf_transformation,[],[f507]) ).
tcf(c_243,plain,
e2 != e4,
inference(cnf_transformation,[],[f506]) ).
tcf(c_244,plain,
e3 != e4,
inference(cnf_transformation,[],[f505]) ).
tcf(c_245,plain,
op(op(op(e2,e2),e2),op(op(e2,e2),e2)) = e0,
inference(cnf_transformation,[],[f518]) ).
tcf(c_246,plain,
op(op(e2,e2),e2) = e1,
inference(cnf_transformation,[],[f517]) ).
tcf(c_247,plain,
op(e2,e2) = e3,
inference(cnf_transformation,[],[f516]) ).
tcf(c_248,plain,
op(op(e2,e2),op(e2,e2)) = e4,
inference(cnf_transformation,[],[f515]) ).
tcf(c_249,plain,
( sP148
| ~ sP153 ),
inference(cnf_transformation,[],[f543]) ).
tcf(c_253,plain,
( sP144
| ~ sP153 ),
inference(cnf_transformation,[],[f539]) ).
tcf(c_255,plain,
( sP142
| ~ sP153 ),
inference(cnf_transformation,[],[f537]) ).
tcf(c_258,plain,
( sP139
| ~ sP153 ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_262,plain,
( sP135
| ~ sP153 ),
inference(cnf_transformation,[],[f530]) ).
tcf(c_263,plain,
( sP134
| ~ sP153 ),
inference(cnf_transformation,[],[f529]) ).
tcf(c_268,plain,
( sP129
| ~ sP153 ),
inference(cnf_transformation,[],[f524]) ).
tcf(c_272,plain,
( sP125
| ~ sP153 ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_273,plain,
( sP124
| ~ sP153 ),
inference(cnf_transformation,[],[f519]) ).
tcf(c_274,plain,
( sP123
| ~ sP152 ),
inference(cnf_transformation,[],[f568]) ).
tcf(c_278,plain,
( sP119
| ~ sP152 ),
inference(cnf_transformation,[],[f564]) ).
tcf(c_282,plain,
( sP115
| ~ sP152 ),
inference(cnf_transformation,[],[f560]) ).
tcf(c_283,plain,
( sP114
| ~ sP152 ),
inference(cnf_transformation,[],[f559]) ).
tcf(c_284,plain,
( sP113
| ~ sP152 ),
inference(cnf_transformation,[],[f558]) ).
tcf(c_287,plain,
( sP110
| ~ sP152 ),
inference(cnf_transformation,[],[f555]) ).
tcf(c_288,plain,
( sP109
| ~ sP152 ),
inference(cnf_transformation,[],[f554]) ).
tcf(c_291,plain,
( sP106
| ~ sP152 ),
inference(cnf_transformation,[],[f551]) ).
tcf(c_294,plain,
( sP103
| ~ sP152 ),
inference(cnf_transformation,[],[f548]) ).
tcf(c_297,plain,
( sP100
| ~ sP152 ),
inference(cnf_transformation,[],[f545]) ).
tcf(c_299,plain,
( sP98
| ~ sP151 ),
inference(cnf_transformation,[],[f593]) ).
tcf(c_300,plain,
( sP97
| ~ sP151 ),
inference(cnf_transformation,[],[f592]) ).
tcf(c_301,plain,
( sP96
| ~ sP151 ),
inference(cnf_transformation,[],[f591]) ).
tcf(c_302,plain,
( sP95
| ~ sP151 ),
inference(cnf_transformation,[],[f590]) ).
tcf(c_303,plain,
( sP94
| ~ sP151 ),
inference(cnf_transformation,[],[f589]) ).
tcf(c_304,plain,
( sP93
| ~ sP151 ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_307,plain,
( sP90
| ~ sP151 ),
inference(cnf_transformation,[],[f585]) ).
tcf(c_308,plain,
( sP89
| ~ sP151 ),
inference(cnf_transformation,[],[f584]) ).
tcf(c_309,plain,
( sP88
| ~ sP151 ),
inference(cnf_transformation,[],[f583]) ).
tcf(c_310,plain,
( sP87
| ~ sP151 ),
inference(cnf_transformation,[],[f582]) ).
tcf(c_313,plain,
( sP84
| ~ sP151 ),
inference(cnf_transformation,[],[f579]) ).
tcf(c_314,plain,
( sP83
| ~ sP151 ),
inference(cnf_transformation,[],[f578]) ).
tcf(c_318,plain,
( sP79
| ~ sP151 ),
inference(cnf_transformation,[],[f574]) ).
tcf(c_319,plain,
( sP78
| ~ sP151 ),
inference(cnf_transformation,[],[f573]) ).
tcf(c_320,plain,
( sP77
| ~ sP151 ),
inference(cnf_transformation,[],[f572]) ).
tcf(c_322,plain,
( sP75
| ~ sP151 ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_323,plain,
( sP74
| ~ sP151 ),
inference(cnf_transformation,[],[f569]) ).
tcf(c_325,plain,
( sP72
| ~ sP150 ),
inference(cnf_transformation,[],[f617]) ).
tcf(c_328,plain,
( sP69
| ~ sP150 ),
inference(cnf_transformation,[],[f614]) ).
tcf(c_329,plain,
( sP68
| ~ sP150 ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_333,plain,
( sP64
| ~ sP150 ),
inference(cnf_transformation,[],[f609]) ).
tcf(c_336,plain,
( sP61
| ~ sP150 ),
inference(cnf_transformation,[],[f606]) ).
tcf(c_339,plain,
( sP58
| ~ sP150 ),
inference(cnf_transformation,[],[f603]) ).
tcf(c_340,plain,
( sP57
| ~ sP150 ),
inference(cnf_transformation,[],[f602]) ).
tcf(c_344,plain,
( sP53
| ~ sP150 ),
inference(cnf_transformation,[],[f598]) ).
tcf(c_348,plain,
( sP49
| ~ sP150 ),
inference(cnf_transformation,[],[f594]) ).
tcf(c_349,plain,
( sP48
| ~ sP149 ),
inference(cnf_transformation,[],[f643]) ).
tcf(c_350,plain,
( sP47
| ~ sP149 ),
inference(cnf_transformation,[],[f642]) ).
tcf(c_351,plain,
( sP46
| ~ sP149 ),
inference(cnf_transformation,[],[f641]) ).
tcf(c_352,plain,
( sP45
| ~ sP149 ),
inference(cnf_transformation,[],[f640]) ).
tcf(c_353,plain,
( sP44
| ~ sP149 ),
inference(cnf_transformation,[],[f639]) ).
tcf(c_354,plain,
( sP43
| ~ sP149 ),
inference(cnf_transformation,[],[f638]) ).
tcf(c_359,plain,
( sP38
| ~ sP149 ),
inference(cnf_transformation,[],[f633]) ).
tcf(c_360,plain,
( sP37
| ~ sP149 ),
inference(cnf_transformation,[],[f632]) ).
tcf(c_367,plain,
( sP30
| ~ sP149 ),
inference(cnf_transformation,[],[f625]) ).
tcf(c_369,plain,
( sP28
| ~ sP149 ),
inference(cnf_transformation,[],[f623]) ).
tcf(c_370,plain,
( sP27
| ~ sP149 ),
inference(cnf_transformation,[],[f622]) ).
tcf(c_371,plain,
( sP26
| ~ sP149 ),
inference(cnf_transformation,[],[f621]) ).
tcf(c_374,plain,
( ~ sP148
| ( e0 != unit )
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f644]) ).
tcf(c_382,plain,
( ~ sP144
| ( e0 != unit )
| ( op(e0,e4) != e0 ) ),
inference(cnf_transformation,[],[f652]) ).
tcf(c_384,plain,
( ( op(e1,e0) = e1 )
| ~ sP142
| ( op(e1,e1) != e0 ) ),
inference(cnf_transformation,[],[f657]) ).
tcf(c_391,plain,
( ~ sP139
| ( e0 != unit )
| ( op(e1,e4) != e0 ) ),
inference(cnf_transformation,[],[f662]) ).
tcf(c_397,plain,
( ( op(e2,e0) = e3 )
| ~ sP135
| ( op(e2,e3) != e0 ) ),
inference(cnf_transformation,[],[f671]) ).
tcf(c_399,plain,
( ( op(e2,e0) = e4 )
| ~ sP134
| ( op(e2,e4) != e0 ) ),
inference(cnf_transformation,[],[f673]) ).
tcf(c_400,plain,
( ~ sP134
| ( e0 != unit )
| ( op(e2,e4) != e0 ) ),
inference(cnf_transformation,[],[f672]) ).
tcf(c_408,plain,
( ( op(e3,e0) = e4 )
| ~ sP129
| ( op(e3,e4) != e0 ) ),
inference(cnf_transformation,[],[f683]) ).
tcf(c_409,plain,
( ~ sP129
| ( e0 != unit )
| ( op(e3,e4) != e0 ) ),
inference(cnf_transformation,[],[f682]) ).
tcf(c_415,plain,
( ( op(e4,e0) = e3 )
| ~ sP125
| ( op(e4,e3) != e0 ) ),
inference(cnf_transformation,[],[f691]) ).
tcf(c_418,plain,
( ~ sP124
| ( e0 != unit )
| ( op(e4,e4) != e0 ) ),
inference(cnf_transformation,[],[f692]) ).
tcf(c_419,plain,
( ( op(e0,e1) = e0 )
| ~ sP123
| ( op(e0,e0) != e1 ) ),
inference(cnf_transformation,[],[f695]) ).
tcf(c_426,plain,
( ( op(e0,e1) = e4 )
| ~ sP119
| ( op(e0,e4) != e1 ) ),
inference(cnf_transformation,[],[f703]) ).
tcf(c_433,plain,
( ( op(e1,e1) = e3 )
| ~ sP115
| ( op(e1,e3) != e1 ) ),
inference(cnf_transformation,[],[f711]) ).
tcf(c_435,plain,
( ( op(e1,e1) = e4 )
| ~ sP114
| ( op(e1,e4) != e1 ) ),
inference(cnf_transformation,[],[f713]) ).
tcf(c_437,plain,
( ( op(e2,e1) = e0 )
| ~ sP113
| ( op(e2,e0) != e1 ) ),
inference(cnf_transformation,[],[f715]) ).
tcf(c_442,plain,
( ( op(e2,e1) = e3 )
| ~ sP110
| ( op(e2,e3) != e1 ) ),
inference(cnf_transformation,[],[f721]) ).
tcf(c_444,plain,
( ( op(e2,e1) = e4 )
| ~ sP109
| ( op(e2,e4) != e1 ) ),
inference(cnf_transformation,[],[f723]) ).
tcf(c_449,plain,
( ( op(e3,e1) = e2 )
| ~ sP106
| ( op(e3,e2) != e1 ) ),
inference(cnf_transformation,[],[f729]) ).
tcf(c_455,plain,
( ( op(e4,e1) = e0 )
| ~ sP103
| ( op(e4,e0) != e1 ) ),
inference(cnf_transformation,[],[f735]) ).
tcf(c_460,plain,
( ( op(e4,e1) = e3 )
| ~ sP100
| ( op(e4,e3) != e1 ) ),
inference(cnf_transformation,[],[f741]) ).
tcf(c_464,plain,
( ( op(e0,e2) = e0 )
| ~ sP98
| ( op(e0,e0) != e2 ) ),
inference(cnf_transformation,[],[f745]) ).
tcf(c_466,plain,
( ( op(e0,e2) = e1 )
| ~ sP97
| ( op(e0,e1) != e2 ) ),
inference(cnf_transformation,[],[f747]) ).
tcf(c_468,plain,
( ~ sP96
| ( e2 != unit )
| ( op(e0,e2) != e2 ) ),
inference(cnf_transformation,[],[f748]) ).
tcf(c_469,plain,
( ( op(e0,e2) = e3 )
| ~ sP95
| ( op(e0,e3) != e2 ) ),
inference(cnf_transformation,[],[f751]) ).
tcf(c_472,plain,
( ~ sP94
| ( e2 != unit )
| ( op(e0,e4) != e2 ) ),
inference(cnf_transformation,[],[f752]) ).
tcf(c_473,plain,
( ( op(e1,e2) = e0 )
| ~ sP93
| ( op(e1,e0) != e2 ) ),
inference(cnf_transformation,[],[f755]) ).
tcf(c_478,plain,
( ( op(e1,e2) = e3 )
| ~ sP90
| ( op(e1,e3) != e2 ) ),
inference(cnf_transformation,[],[f761]) ).
tcf(c_481,plain,
( ~ sP89
| ( e2 != unit )
| ( op(e1,e4) != e2 ) ),
inference(cnf_transformation,[],[f762]) ).
tcf(c_482,plain,
( ( op(e2,e2) = e0 )
| ~ sP88
| ( op(e2,e0) != e2 ) ),
inference(cnf_transformation,[],[f765]) ).
tcf(c_484,plain,
( ( op(e2,e2) = e1 )
| ~ sP87
| ( op(e2,e1) != e2 ) ),
inference(cnf_transformation,[],[f767]) ).
tcf(c_489,plain,
( ( op(e2,e2) = e4 )
| ~ sP84
| ( op(e2,e4) != e2 ) ),
inference(cnf_transformation,[],[f773]) ).
tcf(c_490,plain,
( ~ sP84
| ( e2 != unit )
| ( op(e2,e4) != e2 ) ),
inference(cnf_transformation,[],[f772]) ).
tcf(c_491,plain,
( ( op(e3,e2) = e0 )
| ~ sP83
| ( op(e3,e0) != e2 ) ),
inference(cnf_transformation,[],[f775]) ).
tcf(c_498,plain,
( ( op(e3,e2) = e4 )
| ~ sP79
| ( op(e3,e4) != e2 ) ),
inference(cnf_transformation,[],[f783]) ).
tcf(c_499,plain,
( ~ sP79
| ( e2 != unit )
| ( op(e3,e4) != e2 ) ),
inference(cnf_transformation,[],[f782]) ).
tcf(c_500,plain,
( ( op(e4,e2) = e0 )
| ~ sP78
| ( op(e4,e0) != e2 ) ),
inference(cnf_transformation,[],[f785]) ).
tcf(c_502,plain,
( ( op(e4,e2) = e1 )
| ~ sP77
| ( op(e4,e1) != e2 ) ),
inference(cnf_transformation,[],[f787]) ).
tcf(c_505,plain,
( ( op(e4,e2) = e3 )
| ~ sP75
| ( op(e4,e3) != e2 ) ),
inference(cnf_transformation,[],[f791]) ).
tcf(c_508,plain,
( ~ sP74
| ( e2 != unit )
| ( op(e4,e4) != e2 ) ),
inference(cnf_transformation,[],[f792]) ).
tcf(c_511,plain,
( ( op(e0,e3) = e1 )
| ~ sP72
| ( op(e0,e1) != e3 ) ),
inference(cnf_transformation,[],[f797]) ).
tcf(c_516,plain,
( ( op(e0,e3) = e4 )
| ~ sP69
| ( op(e0,e4) != e3 ) ),
inference(cnf_transformation,[],[f803]) ).
tcf(c_518,plain,
( ( op(e1,e3) = e0 )
| ~ sP68
| ( op(e1,e0) != e3 ) ),
inference(cnf_transformation,[],[f805]) ).
tcf(c_525,plain,
( ( op(e1,e3) = e4 )
| ~ sP64
| ( op(e1,e4) != e3 ) ),
inference(cnf_transformation,[],[f813]) ).
tcf(c_531,plain,
( ( op(e2,e3) = e2 )
| ~ sP61
| ( op(e2,e2) != e3 ) ),
inference(cnf_transformation,[],[f819]) ).
tcf(c_536,plain,
( ( op(e3,e3) = e0 )
| ~ sP58
| ( op(e3,e0) != e3 ) ),
inference(cnf_transformation,[],[f825]) ).
tcf(c_538,plain,
( ( op(e3,e3) = e1 )
| ~ sP57
| ( op(e3,e1) != e3 ) ),
inference(cnf_transformation,[],[f827]) ).
tcf(c_545,plain,
( ( op(e4,e3) = e0 )
| ~ sP53
| ( op(e4,e0) != e3 ) ),
inference(cnf_transformation,[],[f835]) ).
tcf(c_552,plain,
( ( op(e4,e3) = e4 )
| ~ sP49
| ( op(e4,e4) != e3 ) ),
inference(cnf_transformation,[],[f843]) ).
tcf(c_554,plain,
( ( op(e0,e4) = e0 )
| ~ sP48
| ( op(e0,e0) != e4 ) ),
inference(cnf_transformation,[],[f845]) ).
tcf(c_555,plain,
( ~ sP48
| ( e4 != unit )
| ( op(e0,e0) != e4 ) ),
inference(cnf_transformation,[],[f844]) ).
tcf(c_556,plain,
( ( op(e0,e4) = e1 )
| ~ sP47
| ( op(e0,e1) != e4 ) ),
inference(cnf_transformation,[],[f847]) ).
tcf(c_557,plain,
( ~ sP47
| ( e4 != unit )
| ( op(e0,e1) != e4 ) ),
inference(cnf_transformation,[],[f846]) ).
tcf(c_559,plain,
( ~ sP46
| ( e4 != unit )
| ( op(e0,e2) != e4 ) ),
inference(cnf_transformation,[],[f848]) ).
tcf(c_561,plain,
( ~ sP45
| ( e4 != unit )
| ( op(e0,e3) != e4 ) ),
inference(cnf_transformation,[],[f850]) ).
tcf(c_562,plain,
( ~ sP44
| ( e4 != unit )
| ( op(e0,e4) != e4 ) ),
inference(cnf_transformation,[],[f852]) ).
tcf(c_563,plain,
( ( op(e1,e4) = e0 )
| ~ sP43
| ( op(e1,e0) != e4 ) ),
inference(cnf_transformation,[],[f855]) ).
tcf(c_572,plain,
( ( op(e2,e4) = e0 )
| ~ sP38
| ( op(e2,e0) != e4 ) ),
inference(cnf_transformation,[],[f865]) ).
tcf(c_574,plain,
( ( op(e2,e4) = e1 )
| ~ sP37
| ( op(e2,e1) != e4 ) ),
inference(cnf_transformation,[],[f867]) ).
tcf(c_587,plain,
( ( op(e3,e4) = e3 )
| ~ sP30
| ( op(e3,e3) != e4 ) ),
inference(cnf_transformation,[],[f881]) ).
tcf(c_590,plain,
( ( op(e4,e4) = e0 )
| ~ sP28
| ( op(e4,e0) != e4 ) ),
inference(cnf_transformation,[],[f885]) ).
tcf(c_592,plain,
( ( op(e4,e4) = e1 )
| ~ sP27
| ( op(e4,e1) != e4 ) ),
inference(cnf_transformation,[],[f887]) ).
tcf(c_594,plain,
( ( op(e4,e4) = e2 )
| ~ sP26
| ( op(e4,e2) != e4 ) ),
inference(cnf_transformation,[],[f889]) ).
tcf(c_599,plain,
( ( op(e0,e0) = e1 )
| ~ sP23 ),
inference(cnf_transformation,[],[f896]) ).
tcf(c_603,plain,
( ( op(e2,e2) = e0 )
| ~ sP22 ),
inference(cnf_transformation,[],[f898]) ).
tcf(c_606,plain,
( ( op(e3,e3) = e0 )
| ~ sP21 ),
inference(cnf_transformation,[],[f901]) ).
tcf(c_608,plain,
( ( op(e0,e0) = e4 )
| ~ sP20 ),
inference(cnf_transformation,[],[f905]) ).
tcf(c_609,plain,
( ( op(e4,e4) = e0 )
| ~ sP20 ),
inference(cnf_transformation,[],[f904]) ).
tcf(c_612,plain,
( ( op(e0,e0) = e1 )
| ~ sP19 ),
inference(cnf_transformation,[],[f907]) ).
tcf(c_613,plain,
( ~ sP19
| ( op(e1,e0) != e1 ) ),
inference(cnf_transformation,[],[f906]) ).
tcf(c_615,plain,
( ( op(e1,e1) = e1 )
| ~ sP18 ),
inference(cnf_transformation,[],[f910]) ).
tcf(c_616,plain,
( ~ sP18
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f909]) ).
tcf(c_618,plain,
( ( op(e2,e2) = e1 )
| ~ sP17 ),
inference(cnf_transformation,[],[f913]) ).
tcf(c_621,plain,
( ( op(e3,e3) = e1 )
| ~ sP16 ),
inference(cnf_transformation,[],[f916]) ).
tcf(c_623,plain,
( ( op(e1,e1) = e4 )
| ~ sP15 ),
inference(cnf_transformation,[],[f920]) ).
tcf(c_626,plain,
( ( op(e2,e2) = e0 )
| ~ sP14 ),
inference(cnf_transformation,[],[f923]) ).
tcf(c_629,plain,
( ( op(e2,e2) = e1 )
| ~ sP13 ),
inference(cnf_transformation,[],[f926]) ).
tcf(c_633,plain,
( ( op(e2,e2) = e2 )
| ~ sP12 ),
inference(cnf_transformation,[],[f928]) ).
tcf(c_634,plain,
( ~ sP12
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f927]) ).
tcf(c_636,plain,
( ( op(e3,e3) = e2 )
| ~ sP11 ),
inference(cnf_transformation,[],[f931]) ).
tcf(c_638,plain,
( ( op(e2,e2) = e4 )
| ~ sP10 ),
inference(cnf_transformation,[],[f935]) ).
tcf(c_641,plain,
( ( op(e3,e3) = e0 )
| ~ sP9 ),
inference(cnf_transformation,[],[f938]) ).
tcf(c_644,plain,
( ( op(e3,e3) = e1 )
| ~ sP8 ),
inference(cnf_transformation,[],[f941]) ).
tcf(c_647,plain,
( ( op(e3,e3) = e2 )
| ~ sP7 ),
inference(cnf_transformation,[],[f944]) ).
tcf(c_651,plain,
( ( op(e3,e3) = e3 )
| ~ sP6 ),
inference(cnf_transformation,[],[f946]) ).
tcf(c_652,plain,
( ~ sP6
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f945]) ).
tcf(c_654,plain,
( ( op(e4,e4) = e3 )
| ~ sP5 ),
inference(cnf_transformation,[],[f949]) ).
tcf(c_655,plain,
( ~ sP5
| ( op(e3,e4) != e3 ) ),
inference(cnf_transformation,[],[f948]) ).
tcf(c_656,plain,
( ( op(e4,e4) = e0 )
| ~ sP4 ),
inference(cnf_transformation,[],[f953]) ).
tcf(c_657,plain,
( ( op(e0,e0) = e4 )
| ~ sP4 ),
inference(cnf_transformation,[],[f952]) ).
tcf(c_660,plain,
( ( op(e1,e1) = e4 )
| ~ sP3 ),
inference(cnf_transformation,[],[f955]) ).
tcf(c_663,plain,
( ( op(e2,e2) = e4 )
| ~ sP2 ),
inference(cnf_transformation,[],[f958]) ).
tcf(c_665,plain,
( ( op(e4,e4) = e3 )
| ~ sP1 ),
inference(cnf_transformation,[],[f962]) ).
tcf(c_671,negated_conjecture,
( sP149
| sP150
| sP151
| sP152
| sP153 ),
inference(cnf_transformation,[],[f969]) ).
tcf(c_673,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f967]) ).
tcf(c_674,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f966]) ).
tcf(c_679,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_651,c_651,c_652]) ).
tcf(c_687,plain,
~ sP12,
inference(global_subsumption_just,[status(thm)],[c_633,c_633,c_634]) ).
tcf(c_691,plain,
~ sP18,
inference(global_subsumption_just,[status(thm)],[c_615,c_615,c_616]) ).
tcf(c_705,plain,
( ( op(e2,e3) = e2 )
| ~ sP61 ),
inference(global_subsumption_just,[status(thm)],[c_531,c_247,c_531]) ).
tcf(c_3832,plain,
( ~ sP153
| ( e0 != unit )
| ( op(e0,e0) != e0 ) ),
inference(resolution,[status(thm)],[c_249,c_374]) ).
tcf(c_3833,plain,
( ~ sP153
| ( e0 != unit ) ),
inference(global_subsumption_just,[status(thm)],[c_3832,c_273,c_268,c_263,c_258,c_253,c_418,c_409,c_400,c_391,c_382,c_126]) ).
tcf(c_3862,plain,
( ~ sP151
| ( e2 != unit )
| ( op(e0,e2) != e2 ) ),
inference(resolution,[status(thm)],[c_301,c_468]) ).
tcf(c_3863,plain,
( ~ sP151
| ( e2 != unit ) ),
inference(global_subsumption_just,[status(thm)],[c_3862,c_323,c_318,c_313,c_308,c_303,c_508,c_499,c_490,c_481,c_472,c_130]) ).
tcf(c_3893,plain,
( ~ sP149
| ( e4 != unit )
| ( op(e0,e4) != e4 ) ),
inference(resolution,[status(thm)],[c_353,c_562]) ).
tcf(c_3894,plain,
( ~ sP149
| ( e4 != unit ) ),
inference(global_subsumption_just,[status(thm)],[c_3893,c_352,c_351,c_350,c_349,c_561,c_559,c_557,c_555,c_93,c_3893]) ).
tcf(c_3908,plain,
( ( op(e2,e3) = e2 )
| ~ sP150 ),
inference(resolution,[status(thm)],[c_336,c_705]) ).
tcf(c_3975,plain,
( ( op(e1,e0) = e1 )
| ~ sP153
| ( op(e1,e1) != e0 ) ),
inference(resolution,[status(thm)],[c_255,c_384]) ).
tcf(c_4059,plain,
( ( op(e2,e0) = e3 )
| ~ sP153
| ( op(e2,e3) != e0 ) ),
inference(resolution,[status(thm)],[c_262,c_397]) ).
tcf(c_4073,plain,
( ( op(e2,e0) = e4 )
| ~ sP153
| ( op(e2,e4) != e0 ) ),
inference(resolution,[status(thm)],[c_263,c_399]) ).
tcf(c_4129,plain,
( ( op(e3,e0) = e4 )
| ~ sP153
| ( op(e3,e4) != e0 ) ),
inference(resolution,[status(thm)],[c_268,c_408]) ).
tcf(c_4171,plain,
( ( op(e4,e0) = e3 )
| ~ sP153
| ( op(e4,e3) != e0 ) ),
inference(resolution,[status(thm)],[c_272,c_415]) ).
tcf(c_4199,plain,
( ( op(e0,e1) = e0 )
| ~ sP152
| ( op(e0,e0) != e1 ) ),
inference(resolution,[status(thm)],[c_274,c_419]) ).
tcf(c_4241,plain,
( ( op(e0,e1) = e4 )
| ~ sP152
| ( op(e0,e4) != e1 ) ),
inference(resolution,[status(thm)],[c_278,c_426]) ).
tcf(c_4283,plain,
( ( op(e1,e1) = e3 )
| ~ sP152
| ( op(e1,e3) != e1 ) ),
inference(resolution,[status(thm)],[c_282,c_433]) ).
tcf(c_4297,plain,
( ( op(e1,e1) = e4 )
| ~ sP152
| ( op(e1,e4) != e1 ) ),
inference(resolution,[status(thm)],[c_283,c_435]) ).
tcf(c_4311,plain,
( ( op(e2,e1) = e0 )
| ~ sP152
| ( op(e2,e0) != e1 ) ),
inference(resolution,[status(thm)],[c_284,c_437]) ).
tcf(c_4339,plain,
( ( op(e2,e1) = e3 )
| ~ sP152
| ( op(e2,e3) != e1 ) ),
inference(resolution,[status(thm)],[c_287,c_442]) ).
tcf(c_4353,plain,
( ( op(e2,e1) = e4 )
| ~ sP152
| ( op(e2,e4) != e1 ) ),
inference(resolution,[status(thm)],[c_288,c_444]) ).
tcf(c_4381,plain,
( ( op(e3,e1) = e2 )
| ~ sP152
| ( op(e3,e2) != e1 ) ),
inference(resolution,[status(thm)],[c_291,c_449]) ).
tcf(c_4423,plain,
( ( op(e4,e1) = e0 )
| ~ sP152
| ( op(e4,e0) != e1 ) ),
inference(resolution,[status(thm)],[c_294,c_455]) ).
tcf(c_4451,plain,
( ( op(e4,e1) = e3 )
| ~ sP152
| ( op(e4,e3) != e1 ) ),
inference(resolution,[status(thm)],[c_297,c_460]) ).
tcf(c_4479,plain,
( ( op(e0,e2) = e0 )
| ~ sP151
| ( op(e0,e0) != e2 ) ),
inference(resolution,[status(thm)],[c_299,c_464]) ).
tcf(c_4493,plain,
( ( op(e0,e2) = e1 )
| ~ sP151
| ( op(e0,e1) != e2 ) ),
inference(resolution,[status(thm)],[c_300,c_466]) ).
tcf(c_4507,plain,
( ( op(e0,e2) = e3 )
| ~ sP151
| ( op(e0,e3) != e2 ) ),
inference(resolution,[status(thm)],[c_302,c_469]) ).
tcf(c_4535,plain,
( ( op(e1,e2) = e0 )
| ~ sP151
| ( op(e1,e0) != e2 ) ),
inference(resolution,[status(thm)],[c_304,c_473]) ).
tcf(c_4563,plain,
( ( op(e1,e2) = e3 )
| ~ sP151
| ( op(e1,e3) != e2 ) ),
inference(resolution,[status(thm)],[c_307,c_478]) ).
tcf(c_4591,plain,
( ( op(e2,e2) = e0 )
| ~ sP151
| ( op(e2,e0) != e2 ) ),
inference(resolution,[status(thm)],[c_309,c_482]) ).
tcf(c_4605,plain,
( ( op(e2,e2) = e1 )
| ~ sP151
| ( op(e2,e1) != e2 ) ),
inference(resolution,[status(thm)],[c_310,c_484]) ).
tcf(c_4619,plain,
( ( op(e2,e2) = e4 )
| ~ sP151
| ( op(e2,e4) != e2 ) ),
inference(resolution,[status(thm)],[c_313,c_489]) ).
tcf(c_4633,plain,
( ( op(e3,e2) = e0 )
| ~ sP151
| ( op(e3,e0) != e2 ) ),
inference(resolution,[status(thm)],[c_314,c_491]) ).
tcf(c_4675,plain,
( ( op(e3,e2) = e4 )
| ~ sP151
| ( op(e3,e4) != e2 ) ),
inference(resolution,[status(thm)],[c_318,c_498]) ).
tcf(c_4689,plain,
( ( op(e4,e2) = e0 )
| ~ sP151
| ( op(e4,e0) != e2 ) ),
inference(resolution,[status(thm)],[c_319,c_500]) ).
tcf(c_4703,plain,
( ( op(e4,e2) = e1 )
| ~ sP151
| ( op(e4,e1) != e2 ) ),
inference(resolution,[status(thm)],[c_320,c_502]) ).
tcf(c_4717,plain,
( ( op(e4,e2) = e3 )
| ~ sP151
| ( op(e4,e3) != e2 ) ),
inference(resolution,[status(thm)],[c_322,c_505]) ).
tcf(c_4759,plain,
( ( op(e0,e3) = e1 )
| ~ sP150
| ( op(e0,e1) != e3 ) ),
inference(resolution,[status(thm)],[c_325,c_511]) ).
tcf(c_4787,plain,
( ( op(e0,e3) = e4 )
| ~ sP150
| ( op(e0,e4) != e3 ) ),
inference(resolution,[status(thm)],[c_328,c_516]) ).
tcf(c_4801,plain,
( ( op(e1,e3) = e0 )
| ~ sP150
| ( op(e1,e0) != e3 ) ),
inference(resolution,[status(thm)],[c_329,c_518]) ).
tcf(c_4843,plain,
( ( op(e1,e3) = e4 )
| ~ sP150
| ( op(e1,e4) != e3 ) ),
inference(resolution,[status(thm)],[c_333,c_525]) ).
tcf(c_4899,plain,
( ( op(e3,e3) = e0 )
| ~ sP150
| ( op(e3,e0) != e3 ) ),
inference(resolution,[status(thm)],[c_339,c_536]) ).
tcf(c_4913,plain,
( ( op(e3,e3) = e1 )
| ~ sP150
| ( op(e3,e1) != e3 ) ),
inference(resolution,[status(thm)],[c_340,c_538]) ).
tcf(c_4955,plain,
( ( op(e4,e3) = e0 )
| ~ sP150
| ( op(e4,e0) != e3 ) ),
inference(resolution,[status(thm)],[c_344,c_545]) ).
tcf(c_4997,plain,
( ( op(e4,e3) = e4 )
| ~ sP150
| ( op(e4,e4) != e3 ) ),
inference(resolution,[status(thm)],[c_348,c_552]) ).
tcf(c_5011,plain,
( ( op(e0,e4) = e0 )
| ~ sP149
| ( op(e0,e0) != e4 ) ),
inference(resolution,[status(thm)],[c_349,c_554]) ).
tcf(c_5025,plain,
( ( op(e0,e4) = e1 )
| ~ sP149
| ( op(e0,e1) != e4 ) ),
inference(resolution,[status(thm)],[c_350,c_556]) ).
tcf(c_5067,plain,
( ( op(e1,e4) = e0 )
| ~ sP149
| ( op(e1,e0) != e4 ) ),
inference(resolution,[status(thm)],[c_354,c_563]) ).
tcf(c_5123,plain,
( ( op(e2,e4) = e0 )
| ~ sP149
| ( op(e2,e0) != e4 ) ),
inference(resolution,[status(thm)],[c_359,c_572]) ).
tcf(c_5137,plain,
( ( op(e2,e4) = e1 )
| ~ sP149
| ( op(e2,e1) != e4 ) ),
inference(resolution,[status(thm)],[c_360,c_574]) ).
tcf(c_5221,plain,
( ( op(e3,e4) = e3 )
| ~ sP149
| ( op(e3,e3) != e4 ) ),
inference(resolution,[status(thm)],[c_367,c_587]) ).
tcf(c_5235,plain,
( ( op(e4,e4) = e0 )
| ~ sP149
| ( op(e4,e0) != e4 ) ),
inference(resolution,[status(thm)],[c_369,c_590]) ).
tcf(c_5249,plain,
( ( op(e4,e4) = e1 )
| ~ sP149
| ( op(e4,e1) != e4 ) ),
inference(resolution,[status(thm)],[c_370,c_592]) ).
tcf(c_5263,plain,
( ( op(e4,e4) = e2 )
| ~ sP149
| ( op(e4,e2) != e4 ) ),
inference(resolution,[status(thm)],[c_371,c_594]) ).
fof(f10,definition,
( ~ sP0
| ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ~ sP1
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ~ sP2
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ~ sP3
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ~ sP4
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ~ sP5
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ~ sP6
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ~ sP7
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ~ sP8
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ~ sP9
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ~ sP10
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ~ sP11
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP12
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP13
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ~ sP14
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ~ sP15
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP16
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP17
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ~ sP18
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ~ sP19
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP20
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP21
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP22
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ~ sP23
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ~ sP24
| ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP25
| ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ~ sP26
| ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ~ sP27
| ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ~ sP28
| ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ~ sP29
| ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ~ sP30
| ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ~ sP31
| ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ~ sP32
| ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ~ sP33
| ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ~ sP34
| ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ~ sP35
| ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ~ sP36
| ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ~ sP37
| ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ~ sP38
| ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ~ sP39
| ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ~ sP40
| ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ~ sP41
| ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ~ sP42
| ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ~ sP43
| ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ~ sP44
| ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ~ sP45
| ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ~ sP46
| ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ~ sP47
| ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ~ sP48
| ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ~ sP49
| ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ~ sP50
| ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ~ sP51
| ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ~ sP52
| ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ~ sP53
| ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ~ sP54
| ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ~ sP55
| ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ~ sP56
| ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ~ sP57
| ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ~ sP58
| ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ~ sP59
| ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ~ sP60
| ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ~ sP61
| ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ~ sP62
| ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ~ sP63
| ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ~ sP64
| ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f75,definition,
( ~ sP65
| ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f76,definition,
( ~ sP66
| ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f77,definition,
( ~ sP67
| ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f78,definition,
( ~ sP68
| ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f79,definition,
( ~ sP69
| ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 ),
introduced(definition,[new_symbols(definition,[sP69])],[predicate_definition_introduction]) ).
fof(f80,definition,
( ~ sP70
| ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 ),
introduced(definition,[new_symbols(definition,[sP70])],[predicate_definition_introduction]) ).
fof(f81,definition,
( ~ sP71
| ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f82,definition,
( ~ sP72
| ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 ),
introduced(definition,[new_symbols(definition,[sP72])],[predicate_definition_introduction]) ).
fof(f83,definition,
( ~ sP73
| ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ),
introduced(definition,[new_symbols(definition,[sP73])],[predicate_definition_introduction]) ).
fof(f84,definition,
( ~ sP74
| ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 ),
introduced(definition,[new_symbols(definition,[sP74])],[predicate_definition_introduction]) ).
fof(f85,definition,
( ~ sP75
| ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 ),
introduced(definition,[new_symbols(definition,[sP75])],[predicate_definition_introduction]) ).
fof(f86,definition,
( ~ sP76
| ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 ),
introduced(definition,[new_symbols(definition,[sP76])],[predicate_definition_introduction]) ).
fof(f87,definition,
( ~ sP77
| ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 ),
introduced(definition,[new_symbols(definition,[sP77])],[predicate_definition_introduction]) ).
fof(f88,definition,
( ~ sP78
| ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 ),
introduced(definition,[new_symbols(definition,[sP78])],[predicate_definition_introduction]) ).
fof(f89,definition,
( ~ sP79
| ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 ),
introduced(definition,[new_symbols(definition,[sP79])],[predicate_definition_introduction]) ).
fof(f90,definition,
( ~ sP80
| ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 ),
introduced(definition,[new_symbols(definition,[sP80])],[predicate_definition_introduction]) ).
fof(f91,definition,
( ~ sP81
| ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 ),
introduced(definition,[new_symbols(definition,[sP81])],[predicate_definition_introduction]) ).
fof(f92,definition,
( ~ sP82
| ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 ),
introduced(definition,[new_symbols(definition,[sP82])],[predicate_definition_introduction]) ).
fof(f93,definition,
( ~ sP83
| ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 ),
introduced(definition,[new_symbols(definition,[sP83])],[predicate_definition_introduction]) ).
fof(f94,definition,
( ~ sP84
| ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 ),
introduced(definition,[new_symbols(definition,[sP84])],[predicate_definition_introduction]) ).
fof(f95,definition,
( ~ sP85
| ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 ),
introduced(definition,[new_symbols(definition,[sP85])],[predicate_definition_introduction]) ).
fof(f96,definition,
( ~ sP86
| ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 ),
introduced(definition,[new_symbols(definition,[sP86])],[predicate_definition_introduction]) ).
fof(f97,definition,
( ~ sP87
| ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 ),
introduced(definition,[new_symbols(definition,[sP87])],[predicate_definition_introduction]) ).
fof(f98,definition,
( ~ sP88
| ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 ),
introduced(definition,[new_symbols(definition,[sP88])],[predicate_definition_introduction]) ).
fof(f99,definition,
( ~ sP89
| ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 ),
introduced(definition,[new_symbols(definition,[sP89])],[predicate_definition_introduction]) ).
fof(f100,definition,
( ~ sP90
| ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 ),
introduced(definition,[new_symbols(definition,[sP90])],[predicate_definition_introduction]) ).
fof(f101,definition,
( ~ sP91
| ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 ),
introduced(definition,[new_symbols(definition,[sP91])],[predicate_definition_introduction]) ).
fof(f102,definition,
( ~ sP92
| ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 ),
introduced(definition,[new_symbols(definition,[sP92])],[predicate_definition_introduction]) ).
fof(f103,definition,
( ~ sP93
| ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 ),
introduced(definition,[new_symbols(definition,[sP93])],[predicate_definition_introduction]) ).
fof(f104,definition,
( ~ sP94
| ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 ),
introduced(definition,[new_symbols(definition,[sP94])],[predicate_definition_introduction]) ).
fof(f105,definition,
( ~ sP95
| ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 ),
introduced(definition,[new_symbols(definition,[sP95])],[predicate_definition_introduction]) ).
fof(f106,definition,
( ~ sP96
| ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 ),
introduced(definition,[new_symbols(definition,[sP96])],[predicate_definition_introduction]) ).
fof(f107,definition,
( ~ sP97
| ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 ),
introduced(definition,[new_symbols(definition,[sP97])],[predicate_definition_introduction]) ).
fof(f108,definition,
( ~ sP98
| ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ),
introduced(definition,[new_symbols(definition,[sP98])],[predicate_definition_introduction]) ).
fof(f109,definition,
( ~ sP99
| ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 ),
introduced(definition,[new_symbols(definition,[sP99])],[predicate_definition_introduction]) ).
fof(f110,definition,
( ~ sP100
| ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 ),
introduced(definition,[new_symbols(definition,[sP100])],[predicate_definition_introduction]) ).
fof(f111,definition,
( ~ sP101
| ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 ),
introduced(definition,[new_symbols(definition,[sP101])],[predicate_definition_introduction]) ).
fof(f112,definition,
( ~ sP102
| ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 ),
introduced(definition,[new_symbols(definition,[sP102])],[predicate_definition_introduction]) ).
fof(f113,definition,
( ~ sP103
| ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 ),
introduced(definition,[new_symbols(definition,[sP103])],[predicate_definition_introduction]) ).
fof(f114,definition,
( ~ sP104
| ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 ),
introduced(definition,[new_symbols(definition,[sP104])],[predicate_definition_introduction]) ).
fof(f115,definition,
( ~ sP105
| ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 ),
introduced(definition,[new_symbols(definition,[sP105])],[predicate_definition_introduction]) ).
fof(f116,definition,
( ~ sP106
| ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 ),
introduced(definition,[new_symbols(definition,[sP106])],[predicate_definition_introduction]) ).
fof(f117,definition,
( ~ sP107
| ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 ),
introduced(definition,[new_symbols(definition,[sP107])],[predicate_definition_introduction]) ).
fof(f118,definition,
( ~ sP108
| ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 ),
introduced(definition,[new_symbols(definition,[sP108])],[predicate_definition_introduction]) ).
fof(f119,definition,
( ~ sP109
| ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 ),
introduced(definition,[new_symbols(definition,[sP109])],[predicate_definition_introduction]) ).
fof(f120,definition,
( ~ sP110
| ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 ),
introduced(definition,[new_symbols(definition,[sP110])],[predicate_definition_introduction]) ).
fof(f121,definition,
( ~ sP111
| ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 ),
introduced(definition,[new_symbols(definition,[sP111])],[predicate_definition_introduction]) ).
fof(f122,definition,
( ~ sP112
| ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 ),
introduced(definition,[new_symbols(definition,[sP112])],[predicate_definition_introduction]) ).
fof(f123,definition,
( ~ sP113
| ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 ),
introduced(definition,[new_symbols(definition,[sP113])],[predicate_definition_introduction]) ).
fof(f124,definition,
( ~ sP114
| ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 ),
introduced(definition,[new_symbols(definition,[sP114])],[predicate_definition_introduction]) ).
fof(f125,definition,
( ~ sP115
| ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 ),
introduced(definition,[new_symbols(definition,[sP115])],[predicate_definition_introduction]) ).
fof(f126,definition,
( ~ sP116
| ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 ),
introduced(definition,[new_symbols(definition,[sP116])],[predicate_definition_introduction]) ).
fof(f127,definition,
( ~ sP117
| ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 ),
introduced(definition,[new_symbols(definition,[sP117])],[predicate_definition_introduction]) ).
fof(f128,definition,
( ~ sP118
| ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 ),
introduced(definition,[new_symbols(definition,[sP118])],[predicate_definition_introduction]) ).
fof(f129,definition,
( ~ sP119
| ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 ),
introduced(definition,[new_symbols(definition,[sP119])],[predicate_definition_introduction]) ).
fof(f130,definition,
( ~ sP120
| ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 ),
introduced(definition,[new_symbols(definition,[sP120])],[predicate_definition_introduction]) ).
fof(f131,definition,
( ~ sP121
| ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 ),
introduced(definition,[new_symbols(definition,[sP121])],[predicate_definition_introduction]) ).
fof(f132,definition,
( ~ sP122
| ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 ),
introduced(definition,[new_symbols(definition,[sP122])],[predicate_definition_introduction]) ).
fof(f133,definition,
( ~ sP123
| ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ),
introduced(definition,[new_symbols(definition,[sP123])],[predicate_definition_introduction]) ).
fof(f134,definition,
( ~ sP124
| ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 ),
introduced(definition,[new_symbols(definition,[sP124])],[predicate_definition_introduction]) ).
fof(f135,definition,
( ~ sP125
| ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 ),
introduced(definition,[new_symbols(definition,[sP125])],[predicate_definition_introduction]) ).
fof(f136,definition,
( ~ sP126
| ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 ),
introduced(definition,[new_symbols(definition,[sP126])],[predicate_definition_introduction]) ).
fof(f137,definition,
( ~ sP127
| ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 ),
introduced(definition,[new_symbols(definition,[sP127])],[predicate_definition_introduction]) ).
fof(f138,definition,
( ~ sP128
| ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 ),
introduced(definition,[new_symbols(definition,[sP128])],[predicate_definition_introduction]) ).
fof(f139,definition,
( ~ sP129
| ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 ),
introduced(definition,[new_symbols(definition,[sP129])],[predicate_definition_introduction]) ).
fof(f140,definition,
( ~ sP130
| ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 ),
introduced(definition,[new_symbols(definition,[sP130])],[predicate_definition_introduction]) ).
fof(f141,definition,
( ~ sP131
| ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 ),
introduced(definition,[new_symbols(definition,[sP131])],[predicate_definition_introduction]) ).
fof(f142,definition,
( ~ sP132
| ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 ),
introduced(definition,[new_symbols(definition,[sP132])],[predicate_definition_introduction]) ).
fof(f143,definition,
( ~ sP133
| ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 ),
introduced(definition,[new_symbols(definition,[sP133])],[predicate_definition_introduction]) ).
fof(f144,definition,
( ~ sP134
| ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 ),
introduced(definition,[new_symbols(definition,[sP134])],[predicate_definition_introduction]) ).
fof(f145,definition,
( ~ sP135
| ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 ),
introduced(definition,[new_symbols(definition,[sP135])],[predicate_definition_introduction]) ).
fof(f146,definition,
( ~ sP136
| ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 ),
introduced(definition,[new_symbols(definition,[sP136])],[predicate_definition_introduction]) ).
fof(f147,definition,
( ~ sP137
| ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 ),
introduced(definition,[new_symbols(definition,[sP137])],[predicate_definition_introduction]) ).
fof(f148,definition,
( ~ sP138
| ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 ),
introduced(definition,[new_symbols(definition,[sP138])],[predicate_definition_introduction]) ).
fof(f149,definition,
( ~ sP139
| ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 ),
introduced(definition,[new_symbols(definition,[sP139])],[predicate_definition_introduction]) ).
fof(f150,definition,
( ~ sP140
| ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 ),
introduced(definition,[new_symbols(definition,[sP140])],[predicate_definition_introduction]) ).
fof(f151,definition,
( ~ sP141
| ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 ),
introduced(definition,[new_symbols(definition,[sP141])],[predicate_definition_introduction]) ).
fof(f152,definition,
( ~ sP142
| ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 ),
introduced(definition,[new_symbols(definition,[sP142])],[predicate_definition_introduction]) ).
fof(f153,definition,
( ~ sP143
| ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 ),
introduced(definition,[new_symbols(definition,[sP143])],[predicate_definition_introduction]) ).
fof(f154,definition,
( ~ sP144
| ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 ),
introduced(definition,[new_symbols(definition,[sP144])],[predicate_definition_introduction]) ).
fof(f155,definition,
( ~ sP145
| ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 ),
introduced(definition,[new_symbols(definition,[sP145])],[predicate_definition_introduction]) ).
fof(f156,definition,
( ~ sP146
| ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 ),
introduced(definition,[new_symbols(definition,[sP146])],[predicate_definition_introduction]) ).
fof(f157,definition,
( ~ sP147
| ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 ),
introduced(definition,[new_symbols(definition,[sP147])],[predicate_definition_introduction]) ).
fof(f158,definition,
( ~ sP148
| ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ),
introduced(definition,[new_symbols(definition,[sP148])],[predicate_definition_introduction]) ).
fof(f159,definition,
( ~ sP149
| ( sP24
& sP25
& sP26
& sP27
& sP28
& sP29
& sP30
& sP31
& sP32
& sP33
& sP34
& sP35
& sP36
& sP37
& sP38
& sP39
& sP40
& sP41
& sP42
& sP43
& sP44
& sP45
& sP46
& sP47
& sP48 ) ),
introduced(definition,[new_symbols(definition,[sP149])],[predicate_definition_introduction]) ).
fof(f160,definition,
( ~ sP150
| ( sP49
& sP50
& sP51
& sP52
& sP53
& sP54
& sP55
& sP56
& sP57
& sP58
& sP59
& sP60
& sP61
& sP62
& sP63
& sP64
& sP65
& sP66
& sP67
& sP68
& sP69
& sP70
& sP71
& sP72
& sP73 ) ),
introduced(definition,[new_symbols(definition,[sP150])],[predicate_definition_introduction]) ).
fof(f161,definition,
( ~ sP151
| ( sP74
& sP75
& sP76
& sP77
& sP78
& sP79
& sP80
& sP81
& sP82
& sP83
& sP84
& sP85
& sP86
& sP87
& sP88
& sP89
& sP90
& sP91
& sP92
& sP93
& sP94
& sP95
& sP96
& sP97
& sP98 ) ),
introduced(definition,[new_symbols(definition,[sP151])],[predicate_definition_introduction]) ).
fof(f162,definition,
( ~ sP152
| ( sP99
& sP100
& sP101
& sP102
& sP103
& sP104
& sP105
& sP106
& sP107
& sP108
& sP109
& sP110
& sP111
& sP112
& sP113
& sP114
& sP115
& sP116
& sP117
& sP118
& sP119
& sP120
& sP121
& sP122
& sP123 ) ),
introduced(definition,[new_symbols(definition,[sP152])],[predicate_definition_introduction]) ).
fof(f163,definition,
( ~ sP153
| ( sP124
& sP125
& sP126
& sP127
& sP128
& sP129
& sP130
& sP131
& sP132
& sP133
& sP134
& sP135
& sP136
& sP137
& sP138
& sP139
& sP140
& sP141
& sP142
& sP143
& sP144
& sP145
& sP146
& sP147
& sP148 ) ),
introduced(definition,[new_symbols(definition,[sP153])],[predicate_definition_introduction]) ).
fof(f164,plain,
( ( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( sP149
| sP150
| sP151
| sP152
| sP153 ) ),
inference(definition_folding,[],[f9,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f318,plain,
( ~ sP0
| ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f963,plain,
( ~ sP0
| e4 != op(e4,e4) ),
inference(cnf_transformation,[],[f318]) ).
fof(f964,plain,
( ~ sP0
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_669,plain,
( ( op(e4,e4) = e4 )
| ~ sP0 ),
inference(cnf_transformation,[],[f964]) ).
tcf(c_670,plain,
( ~ sP0
| ( op(e4,e4) != e4 ) ),
inference(cnf_transformation,[],[f963]) ).
tcf(c_675,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_669,c_669,c_670]) ).
tcf(c_709,plain,
( sP7
| sP8
| sP9
| sP10
| sP11
| sP19
| sP20
| sP21
| sP22
| sP23
| sP17
| sP16
| sP15
| sP14
| sP13
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_673,c_673,c_674,c_675,c_679,c_687,c_691]) ).
tcf(c_710,negated_conjecture,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| sP16
| sP17
| sP19
| sP20
| sP21
| sP22
| sP23 ),
inference(renaming,[status(thm)],[c_709]) ).
tcf(c_719,plain,
( sP7
| sP8
| sP9
| sP10
| sP11
| sP19
| sP20
| sP21
| sP22
| sP23
| sP17
| sP16
| sP15
| sP14
| sP13
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_674,c_710]) ).
tcf(c_720,negated_conjecture,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| sP16
| sP17
| sP19
| sP20
| sP21
| sP22
| sP23 ),
inference(renaming,[status(thm)],[c_719]) ).
tcf(c_5713,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_5263,c_5249,c_5235,c_5221,c_5137,c_5123,c_5067,c_5025,c_5011,c_4997,c_4955,c_4913,c_4899,c_4843,c_4801,c_4787,c_4759,c_4717,c_4703,c_4689,c_4675,c_4633,c_4619,c_4605,c_4591,c_4563,c_4535,c_4507,c_4493,c_4479,c_4451,c_4423,c_4381,c_4353,c_4339,c_4311,c_4297,c_4283,c_4241,c_4199,c_4171,c_4129,c_4073,c_4059,c_3975,c_3908,c_3894,c_3863,c_3833,c_720,c_671,c_665,c_663,c_660,c_657,c_656,c_655,c_654,c_647,c_644,c_641,c_638,c_636,c_629,c_626,c_623,c_621,c_618,c_613,c_612,c_609,c_608,c_606,c_603,c_599,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_228,c_227,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_213,c_212,c_211,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_201,c_200,c_199,c_198,c_197,c_195,c_192,c_191,c_190,c_189,c_188,c_187,c_185,c_184,c_183,c_182,c_181,c_180,c_178,c_174,c_173,c_172,c_171,c_170,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_160,c_159,c_157,c_156,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_142,c_141,c_140,c_139,c_137,c_136,c_135,c_133,c_132,c_131,c_128,c_127,c_125,c_121,c_120,c_119,c_118,c_116,c_115,c_114,c_109,c_107,c_106,c_105,c_104,c_102,c_101,c_100,c_98,c_97,c_94,c_92,c_91,c_90,c_88,c_87,c_86,c_84,c_83,c_82,c_81,c_80,c_79,c_77,c_73,c_72,c_71,c_68,c_65,c_64,c_63,c_62,c_59,c_58,c_57,c_54,c_52,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG058+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 04:38:47 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 4.45/1.28 % SZS status Started for theBenchmark.p
% 4.45/1.28 % SZS status Theorem for theBenchmark.p
% 4.45/1.28
% 4.45/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.45/1.28
% 4.45/1.28 % ------ iProver source info
% 4.45/1.28
% 4.45/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.45/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.45/1.28 % git: non_committed_changes: false
% 4.45/1.28
% 4.45/1.28 % ------ Parsing...
% 4.45/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.45/1.28
% 4.45/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe_e %
% 4.45/1.28
% 4.45/1.28 % ------ Preprocessing...%
% 4.45/1.28
% 4.45/1.28 % SZS status Theorem for theBenchmark.p
% 4.45/1.28
% 4.45/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.45/1.28
% 4.45/1.28
%------------------------------------------------------------------------------