%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG165+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 05:24:32 PM UTC 2025
% Result : Theorem 152.65s 137.27s
% Output : CNFRefutation 241.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 6
% Syntax : Number of formulae : 30846 (24153 unt; 0 typ; 0 def)
% Number of atoms : 46512 (42562 equ)
% Maximal formula atoms : 250 ( 1 avg)
% Number of connectives : 25058 (9392 ~;15373 |; 293 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > e4 > e3 > e2 > e1 > e0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e1,type,
e1: $i ).
tff(e0,type,
e0: $i ).
tff(e2,type,
e2: $i ).
tff(op,type,
op: ( $i * $i ) > $i ).
tff(e4,type,
e4: $i ).
tff(e3,type,
e3: $i ).
tff(f_1150,axiom,
( ( e0 != e1 )
& ( e0 != e2 )
& ( e0 != e3 )
& ( e0 != e4 )
& ( e1 != e2 )
& ( e1 != e3 )
& ( e1 != e4 )
& ( e2 != e3 )
& ( e2 != e4 )
& ( e3 != e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f_1400,negated_conjecture,
~ ( ( ( op(e0,e0) != e0 )
& ( op(e1,e0) != e1 )
& ( op(e2,e0) != e2 )
& ( op(e3,e0) != e3 )
& ( op(e4,e0) != e4 ) )
| ( ( op(e0,e1) != e0 )
& ( op(e1,e1) != e1 )
& ( op(e2,e1) != e2 )
& ( op(e3,e1) != e3 )
& ( op(e4,e1) != e4 ) )
| ( ( op(e0,e2) != e0 )
& ( op(e1,e2) != e1 )
& ( op(e2,e2) != e2 )
& ( op(e3,e2) != e3 )
& ( op(e4,e2) != e4 ) )
| ( ( op(e0,e3) != e0 )
& ( op(e1,e3) != e1 )
& ( op(e2,e3) != e2 )
& ( op(e3,e3) != e3 )
& ( op(e4,e3) != e4 ) )
| ( ( op(e0,e4) != e0 )
& ( op(e1,e4) != e1 )
& ( op(e2,e4) != e2 )
& ( op(e3,e4) != e3 )
& ( op(e4,e4) != e4 ) )
| ( ( op(e0,e0) != e0 )
& ( op(e0,e1) != e1 )
& ( op(e0,e2) != e2 )
& ( op(e0,e3) != e3 )
& ( op(e0,e4) != e4 ) )
| ( ( op(e1,e0) != e0 )
& ( op(e1,e1) != e1 )
& ( op(e1,e2) != e2 )
& ( op(e1,e3) != e3 )
& ( op(e1,e4) != e4 ) )
| ( ( op(e2,e0) != e0 )
& ( op(e2,e1) != e1 )
& ( op(e2,e2) != e2 )
& ( op(e2,e3) != e3 )
& ( op(e2,e4) != e4 ) )
| ( ( op(e3,e0) != e0 )
& ( op(e3,e1) != e1 )
& ( op(e3,e2) != e2 )
& ( op(e3,e3) != e3 )
& ( op(e3,e4) != e4 ) )
| ( ( op(e4,e0) != e0 )
& ( op(e4,e1) != e1 )
& ( op(e4,e2) != e2 )
& ( op(e4,e3) != e3 )
& ( op(e4,e4) != e4 ) )
| ( ( op(e0,op(e0,e0)) = e0 )
& ( op(e0,op(e0,e1)) = e1 )
& ( op(e0,op(e0,e2)) = e2 )
& ( op(e0,op(e0,e3)) = e3 )
& ( op(e0,op(e0,e4)) = e4 )
& ( op(e1,op(e1,e0)) = e0 )
& ( op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e1,e2)) = e2 )
& ( op(e1,op(e1,e3)) = e3 )
& ( op(e1,op(e1,e4)) = e4 )
& ( op(e2,op(e2,e0)) = e0 )
& ( op(e2,op(e2,e1)) = e1 )
& ( op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e2,e3)) = e3 )
& ( op(e2,op(e2,e4)) = e4 )
& ( op(e3,op(e3,e0)) = e0 )
& ( op(e3,op(e3,e1)) = e1 )
& ( op(e3,op(e3,e2)) = e2 )
& ( op(e3,op(e3,e3)) = e3 )
& ( op(e3,op(e3,e4)) = e4 )
& ( op(e4,op(e4,e0)) = e0 )
& ( op(e4,op(e4,e1)) = e1 )
& ( op(e4,op(e4,e2)) = e2 )
& ( op(e4,op(e4,e3)) = e3 )
& ( op(e4,op(e4,e4)) = e4 ) )
| ( ( op(op(e0,e0),e0) = e0 )
& ( op(op(e0,e1),e1) = e0 )
& ( op(op(e0,e2),e2) = e0 )
& ( op(op(e0,e3),e3) = e0 )
& ( op(op(e0,e4),e4) = e0 )
& ( op(op(e1,e0),e0) = e1 )
& ( op(op(e1,e1),e1) = e1 )
& ( op(op(e1,e2),e2) = e1 )
& ( op(op(e1,e3),e3) = e1 )
& ( op(op(e1,e4),e4) = e1 )
& ( op(op(e2,e0),e0) = e2 )
& ( op(op(e2,e1),e1) = e2 )
& ( op(op(e2,e2),e2) = e2 )
& ( op(op(e2,e3),e3) = e2 )
& ( op(op(e2,e4),e4) = e2 )
& ( op(op(e3,e0),e0) = e3 )
& ( op(op(e3,e1),e1) = e3 )
& ( op(op(e3,e2),e2) = e3 )
& ( op(op(e3,e3),e3) = e3 )
& ( op(op(e3,e4),e4) = e3 )
& ( op(op(e4,e0),e0) = e4 )
& ( op(op(e4,e1),e1) = e4 )
& ( op(op(e4,e2),e2) = e4 )
& ( op(op(e4,e3),e3) = e4 )
& ( op(op(e4,e4),e4) = e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_1121,axiom,
( ( op(e0,e0) != op(e1,e0) )
& ( op(e0,e0) != op(e2,e0) )
& ( op(e0,e0) != op(e3,e0) )
& ( op(e0,e0) != op(e4,e0) )
& ( op(e1,e0) != op(e2,e0) )
& ( op(e1,e0) != op(e3,e0) )
& ( op(e1,e0) != op(e4,e0) )
& ( op(e2,e0) != op(e3,e0) )
& ( op(e2,e0) != op(e4,e0) )
& ( op(e3,e0) != op(e4,e0) )
& ( op(e0,e1) != op(e1,e1) )
& ( op(e0,e1) != op(e2,e1) )
& ( op(e0,e1) != op(e3,e1) )
& ( op(e0,e1) != op(e4,e1) )
& ( op(e1,e1) != op(e2,e1) )
& ( op(e1,e1) != op(e3,e1) )
& ( op(e1,e1) != op(e4,e1) )
& ( op(e2,e1) != op(e3,e1) )
& ( op(e2,e1) != op(e4,e1) )
& ( op(e3,e1) != op(e4,e1) )
& ( op(e0,e2) != op(e1,e2) )
& ( op(e0,e2) != op(e2,e2) )
& ( op(e0,e2) != op(e3,e2) )
& ( op(e0,e2) != op(e4,e2) )
& ( op(e1,e2) != op(e2,e2) )
& ( op(e1,e2) != op(e3,e2) )
& ( op(e1,e2) != op(e4,e2) )
& ( op(e2,e2) != op(e3,e2) )
& ( op(e2,e2) != op(e4,e2) )
& ( op(e3,e2) != op(e4,e2) )
& ( op(e0,e3) != op(e1,e3) )
& ( op(e0,e3) != op(e2,e3) )
& ( op(e0,e3) != op(e3,e3) )
& ( op(e0,e3) != op(e4,e3) )
& ( op(e1,e3) != op(e2,e3) )
& ( op(e1,e3) != op(e3,e3) )
& ( op(e1,e3) != op(e4,e3) )
& ( op(e2,e3) != op(e3,e3) )
& ( op(e2,e3) != op(e4,e3) )
& ( op(e3,e3) != op(e4,e3) )
& ( op(e0,e4) != op(e1,e4) )
& ( op(e0,e4) != op(e2,e4) )
& ( op(e0,e4) != op(e3,e4) )
& ( op(e0,e4) != op(e4,e4) )
& ( op(e1,e4) != op(e2,e4) )
& ( op(e1,e4) != op(e3,e4) )
& ( op(e1,e4) != op(e4,e4) )
& ( op(e2,e4) != op(e3,e4) )
& ( op(e2,e4) != op(e4,e4) )
& ( op(e3,e4) != op(e4,e4) )
& ( op(e0,e0) != op(e0,e1) )
& ( op(e0,e0) != op(e0,e2) )
& ( op(e0,e0) != op(e0,e3) )
& ( op(e0,e0) != op(e0,e4) )
& ( op(e0,e1) != op(e0,e2) )
& ( op(e0,e1) != op(e0,e3) )
& ( op(e0,e1) != op(e0,e4) )
& ( op(e0,e2) != op(e0,e3) )
& ( op(e0,e2) != op(e0,e4) )
& ( op(e0,e3) != op(e0,e4) )
& ( op(e1,e0) != op(e1,e1) )
& ( op(e1,e0) != op(e1,e2) )
& ( op(e1,e0) != op(e1,e3) )
& ( op(e1,e0) != op(e1,e4) )
& ( op(e1,e1) != op(e1,e2) )
& ( op(e1,e1) != op(e1,e3) )
& ( op(e1,e1) != op(e1,e4) )
& ( op(e1,e2) != op(e1,e3) )
& ( op(e1,e2) != op(e1,e4) )
& ( op(e1,e3) != op(e1,e4) )
& ( op(e2,e0) != op(e2,e1) )
& ( op(e2,e0) != op(e2,e2) )
& ( op(e2,e0) != op(e2,e3) )
& ( op(e2,e0) != op(e2,e4) )
& ( op(e2,e1) != op(e2,e2) )
& ( op(e2,e1) != op(e2,e3) )
& ( op(e2,e1) != op(e2,e4) )
& ( op(e2,e2) != op(e2,e3) )
& ( op(e2,e2) != op(e2,e4) )
& ( op(e2,e3) != op(e2,e4) )
& ( op(e3,e0) != op(e3,e1) )
& ( op(e3,e0) != op(e3,e2) )
& ( op(e3,e0) != op(e3,e3) )
& ( op(e3,e0) != op(e3,e4) )
& ( op(e3,e1) != op(e3,e2) )
& ( op(e3,e1) != op(e3,e3) )
& ( op(e3,e1) != op(e3,e4) )
& ( op(e3,e2) != op(e3,e3) )
& ( op(e3,e2) != op(e3,e4) )
& ( op(e3,e3) != op(e3,e4) )
& ( op(e4,e0) != op(e4,e1) )
& ( op(e4,e0) != op(e4,e2) )
& ( op(e4,e0) != op(e4,e3) )
& ( op(e4,e0) != op(e4,e4) )
& ( op(e4,e1) != op(e4,e2) )
& ( op(e4,e1) != op(e4,e3) )
& ( op(e4,e1) != op(e4,e4) )
& ( op(e4,e2) != op(e4,e3) )
& ( op(e4,e2) != op(e4,e4) )
& ( op(e4,e3) != op(e4,e4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f_822,axiom,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
& ( op(op(e1,e0),op(e0,e1)) = e0 )
& ( op(op(e2,e0),op(e0,e2)) = e0 )
& ( op(op(e3,e0),op(e0,e3)) = e0 )
& ( op(op(e4,e0),op(e0,e4)) = e0 )
& ( op(op(e0,e1),op(e1,e0)) = e1 )
& ( op(op(e1,e1),op(e1,e1)) = e1 )
& ( op(op(e2,e1),op(e1,e2)) = e1 )
& ( op(op(e3,e1),op(e1,e3)) = e1 )
& ( op(op(e4,e1),op(e1,e4)) = e1 )
& ( op(op(e0,e2),op(e2,e0)) = e2 )
& ( op(op(e1,e2),op(e2,e1)) = e2 )
& ( op(op(e2,e2),op(e2,e2)) = e2 )
& ( op(op(e3,e2),op(e2,e3)) = e2 )
& ( op(op(e4,e2),op(e2,e4)) = e2 )
& ( op(op(e0,e3),op(e3,e0)) = e3 )
& ( op(op(e1,e3),op(e3,e1)) = e3 )
& ( op(op(e2,e3),op(e3,e2)) = e3 )
& ( op(op(e3,e3),op(e3,e3)) = e3 )
& ( op(op(e4,e3),op(e3,e4)) = e3 )
& ( op(op(e0,e4),op(e4,e0)) = e4 )
& ( op(op(e1,e4),op(e4,e1)) = e4 )
& ( op(op(e2,e4),op(e4,e2)) = e4 )
& ( op(op(e3,e4),op(e4,e3)) = e4 )
& ( op(op(e4,e4),op(e4,e4)) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f_773,axiom,
( ( ( op(e0,e0) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e0,e4) = e0 ) )
& ( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e4,e0) = e0 ) )
& ( ( op(e0,e0) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e4) = e1 ) )
& ( ( op(e0,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e4,e0) = e1 ) )
& ( ( op(e0,e0) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e4) = e2 ) )
& ( ( op(e0,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e4,e0) = e2 ) )
& ( ( op(e0,e0) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e3 ) )
& ( ( op(e0,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e3 ) )
& ( ( op(e0,e0) = e4 )
| ( op(e0,e1) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e4) = e4 ) )
& ( ( op(e0,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e4,e0) = e4 ) )
& ( ( op(e1,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e4) = e0 ) )
& ( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e4,e1) = e0 ) )
& ( ( op(e1,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e1,e4) = e1 ) )
& ( ( op(e0,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e4,e1) = e1 ) )
& ( ( op(e1,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e4) = e2 ) )
& ( ( op(e0,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e4,e1) = e2 ) )
& ( ( op(e1,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e3 ) )
& ( ( op(e0,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e3 ) )
& ( ( op(e1,e0) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e4) = e4 ) )
& ( ( op(e0,e1) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e4,e1) = e4 ) )
& ( ( op(e2,e0) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e4) = e0 ) )
& ( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e4,e2) = e0 ) )
& ( ( op(e2,e0) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e4) = e1 ) )
& ( ( op(e0,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e4,e2) = e1 ) )
& ( ( op(e2,e0) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e4) = e2 ) )
& ( ( op(e0,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e4,e2) = e2 ) )
& ( ( op(e2,e0) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e3 ) )
& ( ( op(e0,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e3 ) )
& ( ( op(e2,e0) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e2,e4) = e4 ) )
& ( ( op(e0,e2) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e4,e2) = e4 ) )
& ( ( op(e3,e0) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e4) = e0 ) )
& ( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e4,e3) = e0 ) )
& ( ( op(e3,e0) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e3,e4) = e1 ) )
& ( ( op(e0,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e4,e3) = e1 ) )
& ( ( op(e3,e0) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e3,e4) = e2 ) )
& ( ( op(e0,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e4,e3) = e2 ) )
& ( ( op(e3,e0) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e3 ) )
& ( ( op(e0,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e3 ) )
& ( ( op(e3,e0) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e3,e4) = e4 ) )
& ( ( op(e0,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e4,e3) = e4 ) )
& ( ( op(e4,e0) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e4) = e0 ) )
& ( ( op(e0,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e4,e4) = e0 ) )
& ( ( op(e4,e0) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e4) = e1 ) )
& ( ( op(e0,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e3,e4) = e1 )
| ( op(e4,e4) = e1 ) )
& ( ( op(e4,e0) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e4) = e2 ) )
& ( ( op(e0,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e2 )
| ( op(e4,e4) = e2 ) )
& ( ( op(e4,e0) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e3 ) )
& ( ( op(e0,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e3 ) )
& ( ( op(e4,e0) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e4,e2) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e4) = e4 ) )
& ( ( op(e0,e4) = e4 )
| ( op(e1,e4) = e4 )
| ( op(e2,e4) = e4 )
| ( op(e3,e4) = e4 )
| ( op(e4,e4) = e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f_274,axiom,
( ( ( op(e0,e0) = e0 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 )
| ( op(e0,e0) = e4 ) )
& ( ( op(e0,e1) = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) )
& ( ( op(e0,e2) = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e4 ) )
& ( ( op(e0,e3) = e0 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e3) = e4 ) )
& ( ( op(e0,e4) = e0 )
| ( op(e0,e4) = e1 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 )
| ( op(e0,e4) = e4 ) )
& ( ( op(e1,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e4 ) )
& ( ( op(e1,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e4 ) )
& ( ( op(e1,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e4 ) )
& ( ( op(e1,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e3) = e4 ) )
& ( ( op(e1,e4) = e0 )
| ( op(e1,e4) = e1 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e3 )
| ( op(e1,e4) = e4 ) )
& ( ( op(e2,e0) = e0 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e4 ) )
& ( ( op(e2,e1) = e0 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) )
& ( ( op(e2,e2) = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e4 ) )
& ( ( op(e2,e3) = e0 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e3) = e4 ) )
& ( ( op(e2,e4) = e0 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e2,e4) = e3 )
| ( op(e2,e4) = e4 ) )
& ( ( op(e3,e0) = e0 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e4 ) )
& ( ( op(e3,e1) = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e3,e1) = e4 ) )
& ( ( op(e3,e2) = e0 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e3,e2) = e4 ) )
& ( ( op(e3,e3) = e0 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e3) = e4 ) )
& ( ( op(e3,e4) = e0 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e4 ) )
& ( ( op(e4,e0) = e0 )
| ( op(e4,e0) = e1 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e4 ) )
& ( ( op(e4,e1) = e0 )
| ( op(e4,e1) = e1 )
| ( op(e4,e1) = e2 )
| ( op(e4,e1) = e3 )
| ( op(e4,e1) = e4 ) )
& ( ( op(e4,e2) = e0 )
| ( op(e4,e2) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e2) = e3 )
| ( op(e4,e2) = e4 ) )
& ( ( op(e4,e3) = e0 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e4 ) )
& ( ( op(e4,e4) = e0 )
| ( op(e4,e4) = e1 )
| ( op(e4,e4) = e2 )
| ( op(e4,e4) = e3 )
| ( op(e4,e4) = e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(c_406,plain,
e3 != e2,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_410,plain,
e3 != e1,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_414,plain,
e4 != e0,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_426,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_164530,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_412,plain,
e2 != e1,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_402,plain,
e4 != e3,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_382,plain,
op(e4,e0) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_164534,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_382]) ).
tff(c_428,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_186854,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164534,c_428]) ).
tff(c_186855,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_186854]) ).
tff(c_370,plain,
op(e3,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_186859,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_370]) ).
tff(c_366,plain,
op(e3,e1) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_191758,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_366]) ).
tff(c_408,plain,
e4 != e1,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_440,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_22592,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_436,plain,
( ( op(e4,e4) = e4 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_445,plain,
op(e0,e4) = e0,
inference(splitLeft,[status(thm)],[c_436]) ).
tff(c_284,plain,
op(e0,e4) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_22665,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22592,c_445,c_284]) ).
tff(c_22666,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_44659,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_218,plain,
op(e4,e2) != op(e4,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_44663,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_44659,c_218]) ).
tff(c_434,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_786,plain,
( ( e4 = e0 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_445,c_434]) ).
tff(c_787,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_786]) ).
tff(c_788,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_787]) ).
tff(c_294,plain,
op(e0,e4) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_806,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_788,c_445,c_294]) ).
tff(c_808,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_787]) ).
tff(c_418,plain,
e2 != e0,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_430,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_526,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_430]) ).
tff(c_444,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_1077,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( e2 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_526,c_444]) ).
tff(c_1078,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_808,c_418,c_1077]) ).
tff(c_1079,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_1078]) ).
tff(c_276,plain,
op(e1,e3) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2241,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1079,c_276]) ).
tff(c_278,plain,
op(e1,e2) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1108,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1079,c_278]) ).
tff(c_1087,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_1096,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1087,c_445,c_284]) ).
tff(c_1097,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_1117,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_1108,c_1097]) ).
tff(c_1118,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_1117]) ).
tff(c_438,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_453,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_282,plain,
op(e0,e4) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_453,c_282]) ).
tff(c_524,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_1109,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_206,plain,
op(e4,e3) != op(e4,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1212,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1118,c_1109,c_206]) ).
tff(c_1213,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_1117]) ).
tff(c_2101,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_1213]) ).
tff(c_252,plain,
op(e2,e2) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2105,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2101,c_252]) ).
tff(c_280,plain,
op(e1,e1) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1115,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1079,c_280]) ).
tff(c_442,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_1036,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_288,plain,
op(e0,e4) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1074,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1036,c_445,c_288]) ).
tff(c_1075,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_1215,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_1115,c_1075]) ).
tff(c_1216,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_1215]) ).
tff(c_210,plain,
op(e4,e3) != op(e4,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1272,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1216,c_1109,c_210]) ).
tff(c_1273,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_1215]) ).
tff(c_2118,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_2105,c_1273]) ).
tff(c_230,plain,
op(e3,e3) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2126,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2118,c_230]) ).
tff(c_346,plain,
op(e3,e2) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2104,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2101,c_346]) ).
tff(c_809,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_386,plain,
op(e3,e0) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1033,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_526,c_809,c_386]) ).
tff(c_1034,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_1278,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_1034]) ).
tff(c_302,plain,
op(e4,e4) != op(e3,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1281,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_1278,c_302]) ).
tff(c_154,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_1521,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1109,c_1278,c_154]) ).
tff(c_1522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1281,c_1521]) ).
tff(c_1523,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_1034]) ).
tff(c_1932,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_1523]) ).
tff(c_1954,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1932,c_1273]) ).
tff(c_1955,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_1954]) ).
tff(c_1960,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1955,c_252]) ).
tff(c_1844,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_1273]) ).
tff(c_1848,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1844,c_252]) ).
tff(c_1862,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_1848,c_1213]) ).
tff(c_226,plain,
op(e3,e3) != op(e3,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1866,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1862,c_226]) ).
tff(c_1590,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_1523]) ).
tff(c_228,plain,
op(e3,e4) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1591,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1590,c_228]) ).
tff(c_322,plain,
op(e4,e3) != op(e3,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1585,plain,
op(e3,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_1109,c_322]) ).
tff(c_1035,plain,
op(e3,e0) != e0,
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_362,plain,
op(e4,e1) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1594,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1590,c_362]) ).
tff(c_549,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_384,plain,
op(e4,e0) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_526,c_549,c_384]) ).
tff(c_784,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_1525,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1109,c_784]) ).
tff(c_1526,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_1525]) ).
tff(c_1527,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_1526]) ).
tff(c_202,plain,
op(e4,e4) != op(e4,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1560,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1527,c_1109,c_202]) ).
tff(c_1561,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_1526]) ).
tff(c_1683,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_1594,c_1561]) ).
tff(c_58,plain,
( ( op(e4,e4) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_1793,plain,
( ( op(e4,e4) = e3 )
| ( e4 = e3 )
| ( e3 = e2 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1683,c_1109,c_58]) ).
tff(c_1794,plain,
( ( op(e4,e4) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_402,c_1793]) ).
tff(c_1795,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_1794]) ).
tff(c_192,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_1763,plain,
op(op(e4,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_192]) ).
tff(c_1796,plain,
op(e3,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1795,c_1763]) ).
tff(c_1807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1035,c_1796]) ).
tff(c_1808,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_1794]) ).
tff(c_1812,plain,
op(e4,e4) = e3,
inference(splitLeft,[status(thm)],[c_1808]) ).
tff(c_152,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_1813,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1812,c_1812,c_152]) ).
tff(c_1822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1585,c_1813]) ).
tff(c_1823,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_1808]) ).
tff(c_432,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_531,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_432]) ).
tff(c_392,plain,
op(e2,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_546,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_531,c_526,c_392]) ).
tff(c_547,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_432]) ).
tff(c_1565,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_1115,c_547]) ).
tff(c_1566,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_1565]) ).
tff(c_182,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_1778,plain,
op(op(e4,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_1566,c_182]) ).
tff(c_1825,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_1823,c_1778]) ).
tff(c_1835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1591,c_1825]) ).
tff(c_1836,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_1523]) ).
tff(c_1880,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1862,c_1836]) ).
tff(c_1881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1866,c_406,c_1880]) ).
tff(c_1882,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_1273]) ).
tff(c_1891,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1882,c_230]) ).
tff(c_232,plain,
op(e3,e2) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_1887,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1882,c_232]) ).
tff(c_1897,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_1887,c_1213]) ).
tff(c_1900,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1897,c_346]) ).
tff(c_1915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1891,c_1900,c_1836]) ).
tff(c_1916,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_1565]) ).
tff(c_2003,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_1916]) ).
tff(c_178,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_2063,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_2003,c_1955,c_178]) ).
tff(c_2064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1960,c_2063]) ).
tff(c_2065,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_1916]) ).
tff(c_184,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_1977,plain,
op(e1,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_1932,c_184]) ).
tff(c_2084,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_2065,c_2065,c_1977]) ).
tff(c_2094,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_2084]) ).
tff(c_2095,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_1523]) ).
tff(c_2172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2126,c_2104,c_2095]) ).
tff(c_2173,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_1213]) ).
tff(c_2178,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2173,c_226]) ).
tff(c_2235,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2173,c_2095]) ).
tff(c_2236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2178,c_406,c_2235]) ).
tff(c_2237,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_5145,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_2241,c_2237]) ).
tff(c_5146,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_5145]) ).
tff(c_246,plain,
op(e2,e3) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_5153,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5146,c_246]) ).
tff(c_3119,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_2241,c_2237]) ).
tff(c_3120,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_3119]) ).
tff(c_250,plain,
op(e2,e3) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_3123,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3120,c_250]) ).
tff(c_2239,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1079,c_280]) ).
tff(c_3096,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_2239,c_1075]) ).
tff(c_3097,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_3096]) ).
tff(c_2242,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_1108,c_1097]) ).
tff(c_2243,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_2242]) ).
tff(c_212,plain,
op(e4,e2) != op(e4,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_3109,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3097,c_2243,c_212]) ).
tff(c_3110,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_3096]) ).
tff(c_3189,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_3123,c_3110]) ).
tff(c_3197,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3189,c_230]) ).
tff(c_2251,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_2239,c_547]) ).
tff(c_2252,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_2251]) ).
tff(c_308,plain,
op(e4,e4) != op(e1,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2257,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_2252,c_308]) ).
tff(c_404,plain,
e4 != e2,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_2265,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2243,c_784]) ).
tff(c_2266,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_2257,c_404,c_2265]) ).
tff(c_2267,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_2266]) ).
tff(c_334,plain,
op(e4,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2360,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2267,c_334]) ).
tff(c_310,plain,
op(e3,e4) != op(e1,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2256,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_2252,c_310]) ).
tff(c_2280,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_2256,c_1034]) ).
tff(c_2281,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_2280]) ).
tff(c_2337,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2267,c_2281,c_322]) ).
tff(c_2339,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_2280]) ).
tff(c_2370,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_2241,c_2339,c_2237]) ).
tff(c_2373,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2370,c_250]) ).
tff(c_2338,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_2280]) ).
tff(c_2386,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_2338]) ).
tff(c_2341,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_2239,c_1075]) ).
tff(c_2342,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_2341]) ).
tff(c_2356,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2342,c_2243,c_212]) ).
tff(c_2357,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_2341]) ).
tff(c_2404,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2386,c_2357]) ).
tff(c_2405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2373,c_410,c_2404]) ).
tff(c_2406,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_2338]) ).
tff(c_356,plain,
op(e3,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2410,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2406,c_356]) ).
tff(c_807,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_787]) ).
tff(c_2457,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_2360,c_2410,c_807]) ).
tff(c_190,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_2482,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_2457,c_1079,c_190]) ).
tff(c_2483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2239,c_2482]) ).
tff(c_2484,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_2266]) ).
tff(c_158,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_2625,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_2484,c_2484,c_2252,c_158]) ).
tff(c_2626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_2625]) ).
tff(c_2627,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_2251]) ).
tff(c_3207,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_2627]) ).
tff(c_350,plain,
op(e3,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_3210,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3207,c_350]) ).
tff(c_2760,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_2241,c_2237]) ).
tff(c_2761,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_2760]) ).
tff(c_2764,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2761,c_250]) ).
tff(c_2727,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_2239,c_1075]) ).
tff(c_2728,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_2727]) ).
tff(c_2747,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2728,c_2243,c_212]) ).
tff(c_2748,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_2727]) ).
tff(c_2778,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_2764,c_2748]) ).
tff(c_2785,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2778,c_230]) ).
tff(c_242,plain,
op(e2,e4) != op(e2,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2766,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2761,c_242]) ).
tff(c_344,plain,
op(e4,e2) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2244,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_2243,c_344]) ).
tff(c_2715,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_1034]) ).
tff(c_306,plain,
op(e3,e4) != op(e2,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2752,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_2715,c_306]) ).
tff(c_94,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_2955,plain,
( ( op(e2,e4) = e4 )
| ( e4 = e2 )
| ( op(e2,e2) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_526,c_2761,c_94]) ).
tff(c_2956,plain,
op(e2,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_2244,c_404,c_2752,c_2955]) ).
tff(c_2800,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_2627]) ).
tff(c_2823,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_2800,c_178]) ).
tff(c_2958,plain,
op(e2,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_2956,c_2823]) ).
tff(c_2968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2766,c_2958]) ).
tff(c_2969,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_2627]) ).
tff(c_168,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_3012,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_2969,c_2778,c_168]) ).
tff(c_3013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2785,c_3012]) ).
tff(c_3014,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_2760]) ).
tff(c_330,plain,
op(e3,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_3018,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3014,c_330]) ).
tff(c_336,plain,
op(e3,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_3022,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3014,c_336]) ).
tff(c_3040,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_2627]) ).
tff(c_360,plain,
op(e1,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_3047,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3040,c_360]) ).
tff(c_3054,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_3022,c_3047,c_807]) ).
tff(c_374,plain,
op(e4,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_3061,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3054,c_374]) ).
tff(c_3016,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3014,c_322]) ).
tff(c_2633,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2243,c_784]) ).
tff(c_2634,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_2633]) ).
tff(c_2635,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_2634]) ).
tff(c_204,plain,
op(e4,e4) != op(e4,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_2709,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2243,c_2635,c_204]) ).
tff(c_2710,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_2634]) ).
tff(c_3090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3061,c_3016,c_2710]) ).
tff(c_3091,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_2627]) ).
tff(c_3093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3018,c_3091]) ).
tff(c_3094,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_1034]) ).
tff(c_3134,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_3094]) ).
tff(c_3152,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3134,c_3110]) ).
tff(c_3153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3123,c_410,c_3152]) ).
tff(c_3154,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_3094]) ).
tff(c_3239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3197,c_3210,c_3154]) ).
tff(c_3240,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_2627]) ).
tff(c_3258,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_3240,c_3189,c_168]) ).
tff(c_3259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3197,c_3258]) ).
tff(c_3260,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_3119]) ).
tff(c_3267,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3260,c_230]) ).
tff(c_3275,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_3267,c_3110]) ).
tff(c_3279,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3275,c_252]) ).
tff(c_3263,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3260,c_330]) ).
tff(c_3294,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_3263,c_2627]) ).
tff(c_3311,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_3294,c_3275,c_178]) ).
tff(c_3312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3279,c_3311]) ).
tff(c_3313,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_2242]) ).
tff(c_5165,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_5153,c_3313]) ).
tff(c_166,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_5148,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_5146,c_166]) ).
tff(c_5166,plain,
op(e2,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_5165,c_5148]) ).
tff(c_5175,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_5146,c_5166]) ).
tff(c_5177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_5175]) ).
tff(c_5178,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_5145]) ).
tff(c_5185,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5178,c_226]) ).
tff(c_5193,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_3313]) ).
tff(c_352,plain,
op(e2,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_5196,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5193,c_352]) ).
tff(c_5183,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5178,c_330]) ).
tff(c_4468,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_2241,c_2237]) ).
tff(c_4469,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_4468]) ).
tff(c_4474,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4469,c_246]) ).
tff(c_4473,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4469,c_250]) ).
tff(c_3642,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_2241,c_2237]) ).
tff(c_3643,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_3642]) ).
tff(c_3647,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3643,c_246]) ).
tff(c_3670,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_3647,c_3313]) ).
tff(c_3747,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_3643,c_3670,c_3643,c_166]) ).
tff(c_3748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_3747]) ).
tff(c_3749,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_3642]) ).
tff(c_3753,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3749,c_226]) ).
tff(c_3775,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_3753,c_3313]) ).
tff(c_3781,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3775,c_344]) ).
tff(c_3761,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3749,c_322]) ).
tff(c_3315,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_2239,c_1075]) ).
tff(c_3316,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_3315]) ).
tff(c_3580,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3316,c_784]) ).
tff(c_3581,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_3580]) ).
tff(c_3582,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_3581]) ).
tff(c_208,plain,
op(e4,e4) != op(e4,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_3617,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3582,c_3316,c_208]) ).
tff(c_3618,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_3581]) ).
tff(c_3835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3781,c_3761,c_3618]) ).
tff(c_3836,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_3315]) ).
tff(c_4602,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_4473,c_3836]) ).
tff(c_4607,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4602,c_232]) ).
tff(c_4624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4474,c_4607,c_3313]) ).
tff(c_4625,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_4468]) ).
tff(c_4631,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4625,c_226]) ).
tff(c_4691,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_4631,c_3313]) ).
tff(c_4698,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4691,c_344]) ).
tff(c_4628,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4625,c_322]) ).
tff(c_4133,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_784]) ).
tff(c_4136,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_4133,c_308]) ).
tff(c_4145,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_4136,c_2239,c_547]) ).
tff(c_4146,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_4145]) ).
tff(c_4161,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4146,c_330]) ).
tff(c_4175,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4146,c_2237]) ).
tff(c_4176,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_4161,c_4175]) ).
tff(c_4182,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4176,c_246]) ).
tff(c_3840,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_1034]) ).
tff(c_3846,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_3840,c_310]) ).
tff(c_3960,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_3846,c_2239,c_547]) ).
tff(c_3961,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_3960]) ).
tff(c_3974,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3961,c_330]) ).
tff(c_3981,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3961,c_2237]) ).
tff(c_3982,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_3974,c_3981]) ).
tff(c_3987,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3982,c_246]) ).
tff(c_3986,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3982,c_250]) ).
tff(c_4004,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_3986,c_3836]) ).
tff(c_4008,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4004,c_232]) ).
tff(c_4029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3987,c_4008,c_3313]) ).
tff(c_4030,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_3960]) ).
tff(c_4032,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4030,c_352]) ).
tff(c_4051,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_2241,c_2237]) ).
tff(c_4052,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_4051]) ).
tff(c_4055,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4052,c_250]) ).
tff(c_4065,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_4055,c_3836]) ).
tff(c_4068,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_232]) ).
tff(c_4086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4032,c_4068,c_3313]) ).
tff(c_4087,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_4051]) ).
tff(c_4093,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4087,c_226]) ).
tff(c_4128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4032,c_4093,c_3313]) ).
tff(c_4129,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_1034]) ).
tff(c_4203,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_4161,c_4129]) ).
tff(c_4204,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_4203]) ).
tff(c_4189,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_4146,c_184]) ).
tff(c_4205,plain,
op(e1,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_4204,c_4189]) ).
tff(c_4218,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_4205,c_4146]) ).
tff(c_4220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_4218]) ).
tff(c_4221,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_4203]) ).
tff(c_4260,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4221,c_3313]) ).
tff(c_4261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4182,c_406,c_4260]) ).
tff(c_4262,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_4145]) ).
tff(c_4265,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4262,c_352]) ).
tff(c_4284,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_2241,c_2237]) ).
tff(c_4285,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_4284]) ).
tff(c_4289,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4285,c_250]) ).
tff(c_4264,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4262,c_350]) ).
tff(c_4306,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_4264,c_4129]) ).
tff(c_4307,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_4306]) ).
tff(c_4356,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4307,c_3836]) ).
tff(c_4357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4289,c_410,c_4356]) ).
tff(c_4358,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_4306]) ).
tff(c_4364,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4358,c_226]) ).
tff(c_4376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4265,c_4364,c_3313]) ).
tff(c_4377,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_4284]) ).
tff(c_4383,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4377,c_226]) ).
tff(c_4425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4265,c_4383,c_3313]) ).
tff(c_4426,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_784]) ).
tff(c_4672,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_4628,c_4426]) ).
tff(c_4673,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_4672]) ).
tff(c_4431,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_2239,c_547]) ).
tff(c_4432,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_4431]) ).
tff(c_4687,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_4673,c_4673,c_4432,c_158]) ).
tff(c_4688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_4687]) ).
tff(c_4689,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_4672]) ).
tff(c_4705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4698,c_4689]) ).
tff(c_4706,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_4431]) ).
tff(c_5212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5196,c_5183,c_4706]) ).
tff(c_5213,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_3313]) ).
tff(c_5215,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5185,c_5213]) ).
tff(c_5216,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_1078]) ).
tff(c_11588,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_5216]) ).
tff(c_11516,plain,
op(op(e4,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_192]) ).
tff(c_11589,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_11588,c_11588,c_11516]) ).
tff(c_11600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_11589]) ).
tff(c_11601,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_5216]) ).
tff(c_236,plain,
op(e3,e3) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_11608,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11601,c_236]) ).
tff(c_5219,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_5234,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5219,c_445,c_284]) ).
tff(c_5235,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_9567,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_5235]) ).
tff(c_9569,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_9567,c_218]) ).
tff(c_8097,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_547]) ).
tff(c_8101,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_8097,c_310]) ).
tff(c_9154,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_8101,c_1034]) ).
tff(c_9155,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_9154]) ).
tff(c_9157,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9155,c_236]) ).
tff(c_9248,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_9157,c_5216]) ).
tff(c_160,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_9243,plain,
op(e0,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_160]) ).
tff(c_9249,plain,
op(e0,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_9248,c_9243]) ).
tff(c_9259,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_9249]) ).
tff(c_9261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_9259]) ).
tff(c_9263,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_9154]) ).
tff(c_5245,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_216,plain,
op(e4,e3) != op(e4,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_5246,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_5245,c_216]) ).
tff(c_6378,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_5246,c_5216]) ).
tff(c_6383,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6378,c_236]) ).
tff(c_238,plain,
op(e3,e2) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_6382,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6378,c_238]) ).
tff(c_5902,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_5235]) ).
tff(c_5954,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5902,c_5245,c_206]) ).
tff(c_5955,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_5235]) ).
tff(c_6206,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_5955]) ).
tff(c_272,plain,
op(e1,e2) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_6214,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6206,c_272]) ).
tff(c_5251,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_1075]) ).
tff(c_5328,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_5245,c_210]) ).
tff(c_5329,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_1075]) ).
tff(c_6224,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6214,c_5329]) ).
tff(c_6225,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_6224]) ).
tff(c_6219,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_6206,c_178]) ).
tff(c_6226,plain,
op(e1,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_6225,c_6219]) ).
tff(c_6235,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_6206,c_6226]) ).
tff(c_6237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_6235]) ).
tff(c_6238,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_6224]) ).
tff(c_240,plain,
op(e3,e1) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_6246,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6238,c_240]) ).
tff(c_6275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5246,c_6246,c_5216]) ).
tff(c_6276,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_5955]) ).
tff(c_6401,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_6382,c_6276]) ).
tff(c_6406,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6401,c_346]) ).
tff(c_6168,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_5246,c_5216]) ).
tff(c_6171,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6168,c_238]) ).
tff(c_5854,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5245,c_784]) ).
tff(c_5855,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_5854]) ).
tff(c_5856,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_5855]) ).
tff(c_5899,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5856,c_5245,c_202]) ).
tff(c_5901,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_5855]) ).
tff(c_5960,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_1034]) ).
tff(c_6059,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_5960,c_5245,c_154]) ).
tff(c_6060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5901,c_6059]) ).
tff(c_6061,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_1034]) ).
tff(c_6070,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_6061]) ).
tff(c_6075,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6070,c_370]) ).
tff(c_6136,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6070,c_5329]) ).
tff(c_6137,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6075,c_410,c_6136]) ).
tff(c_6141,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6137,c_252]) ).
tff(c_6083,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_5955]) ).
tff(c_6097,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6070,c_5329]) ).
tff(c_6098,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6075,c_410,c_6097]) ).
tff(c_6132,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_6083,c_6098,c_6083,c_178]) ).
tff(c_6133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_6132]) ).
tff(c_6134,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_5955]) ).
tff(c_6191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6171,c_6141,c_6134]) ).
tff(c_6192,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_6061]) ).
tff(c_6423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6383,c_6406,c_6192]) ).
tff(c_6424,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_9281,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_9263,c_6424]) ).
tff(c_9282,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_9281]) ).
tff(c_266,plain,
op(e1,e3) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_9287,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9282,c_266]) ).
tff(c_270,plain,
op(e1,e3) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_9285,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9282,c_270]) ).
tff(c_6426,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_1075]) ).
tff(c_220,plain,
op(e4,e1) != op(e4,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_6429,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_6426,c_220]) ).
tff(c_8017,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_6429,c_5216]) ).
tff(c_8022,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8017,c_236]) ).
tff(c_7923,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_6429,c_5216]) ).
tff(c_7927,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7923,c_238]) ).
tff(c_7867,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_6429,c_5216]) ).
tff(c_6436,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_547]) ).
tff(c_6440,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_6436,c_308]) ).
tff(c_6844,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_6426,c_6436,c_158]) ).
tff(c_6845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6440,c_6844]) ).
tff(c_6846,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_547]) ).
tff(c_7781,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_6846]) ).
tff(c_7787,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7781,c_370]) ).
tff(c_7430,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_6429,c_5216]) ).
tff(c_7434,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7430,c_238]) ).
tff(c_7435,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7430,c_236]) ).
tff(c_7063,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_6424]) ).
tff(c_7068,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7063,c_266]) ).
tff(c_6923,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_5235]) ).
tff(c_6940,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6923,c_6426,c_212]) ).
tff(c_6941,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_5235]) ).
tff(c_7086,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_7068,c_6941]) ).
tff(c_7087,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_7086]) ).
tff(c_7089,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7087,c_352]) ).
tff(c_6954,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_6846]) ).
tff(c_6958,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6954,c_272]) ).
tff(c_6955,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6954,c_270]) ).
tff(c_6967,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6955,c_6424]) ).
tff(c_6968,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_6967]) ).
tff(c_6974,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6968,c_246]) ).
tff(c_6981,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_6958,c_6974,c_6941]) ).
tff(c_6988,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6981,c_238]) ).
tff(c_7003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6429,c_6988,c_5216]) ).
tff(c_7004,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_6967]) ).
tff(c_7011,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7004,c_236]) ).
tff(c_7039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6429,c_7011,c_5216]) ).
tff(c_7040,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_6846]) ).
tff(c_7132,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7063,c_7040]) ).
tff(c_7133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_7089,c_7132]) ).
tff(c_7134,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_7086]) ).
tff(c_7142,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7134,c_238]) ).
tff(c_7148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6429,c_7142,c_5216]) ).
tff(c_7149,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_6424]) ).
tff(c_7481,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_7435,c_7149]) ).
tff(c_7489,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7481,c_246]) ).
tff(c_6910,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_1034]) ).
tff(c_222,plain,
op(e3,e4) != op(e3,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_6912,plain,
op(e3,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_6910,c_222]) ).
tff(c_7214,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_6429,c_5216]) ).
tff(c_7223,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7214,c_382]) ).
tff(c_7187,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_6941]) ).
tff(c_7264,plain,
( ( e2 = e1 )
| ( op(e1,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7187,c_7040]) ).
tff(c_7265,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_7264]) ).
tff(c_328,plain,
op(e4,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_7270,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7265,c_328]) ).
tff(c_6848,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6426,c_784]) ).
tff(c_6849,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_6848]) ).
tff(c_6850,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_6849]) ).
tff(c_6905,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6426,c_6850,c_208]) ).
tff(c_6906,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_6849]) ).
tff(c_7340,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_7270,c_6906]) ).
tff(c_7377,plain,
( ( op(e4,e4) = e3 )
| ( op(e4,e3) = e3 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6426,c_7340,c_58]) ).
tff(c_7378,plain,
op(e4,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_7223,c_402,c_406,c_7270,c_7377]) ).
tff(c_7379,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_7378,c_7378,c_152]) ).
tff(c_7388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6912,c_7379]) ).
tff(c_7389,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_6941]) ).
tff(c_7519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7434,c_7489,c_7389]) ).
tff(c_7520,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_1034]) ).
tff(c_7810,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_7787,c_7520]) ).
tff(c_7811,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_7810]) ).
tff(c_7814,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7811,c_346]) ).
tff(c_7525,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_5235]) ).
tff(c_7542,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7525,c_6426,c_212]) ).
tff(c_7543,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_5235]) ).
tff(c_7552,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_7543]) ).
tff(c_7560,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7552,c_272]) ).
tff(c_7579,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7552,c_6846]) ).
tff(c_7580,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_7560,c_412,c_7579]) ).
tff(c_7584,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7580,c_330]) ).
tff(c_7599,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_7584,c_7520]) ).
tff(c_7600,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_7599]) ).
tff(c_7594,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_7580,c_184]) ).
tff(c_7601,plain,
op(e1,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_7594]) ).
tff(c_7614,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_7601,c_7580]) ).
tff(c_7616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_7614]) ).
tff(c_7617,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_7599]) ).
tff(c_342,plain,
op(e4,e2) != op(e3,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_7623,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7617,c_342]) ).
tff(c_7582,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7580,c_328]) ).
tff(c_7681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7623,c_7582,c_6906]) ).
tff(c_7682,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_7543]) ).
tff(c_7851,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7811,c_7682]) ).
tff(c_7852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_7814,c_7851]) ).
tff(c_7853,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_7810]) ).
tff(c_7859,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7853,c_236]) ).
tff(c_7881,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7867,c_7859]) ).
tff(c_7882,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_6846]) ).
tff(c_7950,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_7882]) ).
tff(c_7900,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_7520]) ).
tff(c_7902,plain,
op(e1,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_7900,c_184]) ).
tff(c_7951,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_7950,c_7950,c_7902]) ).
tff(c_7963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_7951]) ).
tff(c_7964,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_7882]) ).
tff(c_7968,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7964,c_352]) ).
tff(c_7980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7927,c_7968,c_7682]) ).
tff(c_7981,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_7520]) ).
tff(c_8040,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_8022,c_7981]) ).
tff(c_8045,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8040,c_346]) ).
tff(c_8091,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8040,c_7682]) ).
tff(c_8092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_8045,c_8091]) ).
tff(c_8093,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_1075]) ).
tff(c_9304,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_9285,c_8093]) ).
tff(c_9305,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_9304]) ).
tff(c_9310,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9305,c_252]) ).
tff(c_416,plain,
e3 != e0,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_8110,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_5235]) ).
tff(c_8112,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_8110,c_218]) ).
tff(c_268,plain,
op(e1,e4) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_8131,plain,
op(e1,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_8097,c_268]) ).
tff(c_548,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_432]) ).
tff(c_8102,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_8097,c_308]) ).
tff(c_8121,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8110,c_784]) ).
tff(c_8122,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_8102,c_404,c_8121]) ).
tff(c_8123,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_8122]) ).
tff(c_8130,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8123,c_334]) ).
tff(c_8133,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_8101,c_1034]) ).
tff(c_8134,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_8133]) ).
tff(c_8150,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8134,c_8123,c_322]) ).
tff(c_8151,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_8133]) ).
tff(c_8260,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_8151]) ).
tff(c_376,plain,
op(e3,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_8268,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8260,c_376]) ).
tff(c_8291,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_8130,c_8268,c_807]) ).
tff(c_196,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_8205,plain,
op(e0,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_526,c_196]) ).
tff(c_8292,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_8291,c_8291,c_8205]) ).
tff(c_8302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_8292]) ).
tff(c_8303,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_8151]) ).
tff(c_8311,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8303,c_356]) ).
tff(c_8332,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_8130,c_8311,c_807]) ).
tff(c_8340,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8332,c_374]) ).
tff(c_66,plain,
( ( op(e4,e4) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_8424,plain,
( ( op(e4,e4) = e1 )
| ( e3 = e1 )
| ( e4 = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8110,c_8123,c_66]) ).
tff(c_8425,plain,
( ( op(e4,e4) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_8340,c_408,c_410,c_8424]) ).
tff(c_8426,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_8425]) ).
tff(c_8360,plain,
op(op(e4,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_192]) ).
tff(c_8427,plain,
op(e1,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_8426,c_8360]) ).
tff(c_8437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_548,c_8427]) ).
tff(c_8438,plain,
op(e4,e4) = e1,
inference(splitRight,[status(thm)],[c_8425]) ).
tff(c_8440,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_8438,c_8438,c_152]) ).
tff(c_8449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8131,c_8440]) ).
tff(c_8450,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_8122]) ).
tff(c_8454,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8450,c_362]) ).
tff(c_8461,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_8101,c_8454,c_1034]) ).
tff(c_8462,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_8461]) ).
tff(c_8464,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8462,c_236]) ).
tff(c_8537,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8112,c_8464,c_5216]) ).
tff(c_8538,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_8461]) ).
tff(c_8544,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8538,c_356]) ).
tff(c_8456,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8450,c_374]) ).
tff(c_8628,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_8544,c_8456,c_807]) ).
tff(c_8597,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_8112,c_5216]) ).
tff(c_194,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_8672,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_8628,c_8597,c_194]) ).
tff(c_170,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_8689,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_8672,c_8628,c_8597,c_170]) ).
tff(c_8690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_8689]) ).
tff(c_8691,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_5235]) ).
tff(c_9323,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_9287,c_9310,c_8691]) ).
tff(c_9330,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9323,c_238]) ).
tff(c_9346,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_9330,c_5216]) ).
tff(c_9341,plain,
op(op(e4,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_192]) ).
tff(c_9347,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_9346,c_9346,c_9341]) ).
tff(c_9357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_9347]) ).
tff(c_9358,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_9304]) ).
tff(c_9385,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_9358,c_9358,c_9282,c_184]) ).
tff(c_9386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_9385]) ).
tff(c_9387,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_9281]) ).
tff(c_9392,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9387,c_250]) ).
tff(c_9402,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_8093]) ).
tff(c_9406,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9402,c_272]) ).
tff(c_9395,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9387,c_246]) ).
tff(c_9415,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_9406,c_9395,c_8691]) ).
tff(c_9389,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_9387,c_166]) ).
tff(c_9441,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_9387,c_9415,c_9389]) ).
tff(c_9442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_9441]) ).
tff(c_9443,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_8093]) ).
tff(c_9497,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_9392,c_9443]) ).
tff(c_9262,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_9154]) ).
tff(c_9519,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9497,c_9262]) ).
tff(c_9520,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_9519]) ).
tff(c_9527,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9520,c_342]) ).
tff(c_8916,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_8093]) ).
tff(c_8922,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8916,c_370]) ).
tff(c_8705,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_8101,c_1034]) ).
tff(c_8706,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_8705]) ).
tff(c_8694,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_8102,c_784]) ).
tff(c_8695,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_8694]) ).
tff(c_8719,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8706,c_8695,c_322]) ).
tff(c_8720,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_8705]) ).
tff(c_8972,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_8922,c_8720]) ).
tff(c_8920,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8916,c_272]) ).
tff(c_8942,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_8920,c_8691]) ).
tff(c_8943,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_8942]) ).
tff(c_8721,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_8705]) ).
tff(c_8756,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_8721,c_6424]) ).
tff(c_8757,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_8756]) ).
tff(c_8762,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8757,c_266]) ).
tff(c_8760,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8757,c_270]) ).
tff(c_8783,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_8760,c_8093]) ).
tff(c_8784,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_8783]) ).
tff(c_8789,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8784,c_252]) ).
tff(c_8802,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_8762,c_8789,c_8691]) ).
tff(c_8809,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8802,c_238]) ).
tff(c_8830,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_8809,c_5216]) ).
tff(c_8855,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_8830,c_8830,c_445,c_192]) ).
tff(c_8856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_8855]) ).
tff(c_8857,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_8783]) ).
tff(c_8864,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8857,c_240]) ).
tff(c_8886,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_8864,c_5216]) ).
tff(c_8912,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_8886,c_445,c_160]) ).
tff(c_8913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_8912]) ).
tff(c_8914,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_8756]) ).
tff(c_8935,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8914,c_246]) ).
tff(c_8956,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8943,c_8935]) ).
tff(c_8957,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_8942]) ).
tff(c_8985,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_8972,c_8957]) ).
tff(c_8986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_8985]) ).
tff(c_8987,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_8093]) ).
tff(c_9108,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_8987]) ).
tff(c_9016,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_5216]) ).
tff(c_9050,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_9016,c_9016,c_445,c_192]) ).
tff(c_9051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_9050]) ).
tff(c_9052,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_5216]) ).
tff(c_9099,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9052,c_240]) ).
tff(c_9121,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9108,c_9099]) ).
tff(c_9122,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_8987]) ).
tff(c_9006,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8914,c_250]) ).
tff(c_9150,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9122,c_9006]) ).
tff(c_9151,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_8694]) ).
tff(c_9549,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_9527,c_9151]) ).
tff(c_9484,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_8097,c_158]) ).
tff(c_9551,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_9549,c_9549,c_9484]) ).
tff(c_9560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_9551]) ).
tff(c_9561,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_547]) ).
tff(c_9646,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_9561]) ).
tff(c_368,plain,
op(e4,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_9649,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9646,c_368]) ).
tff(c_380,plain,
op(e1,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_9654,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9646,c_380]) ).
tff(c_9751,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_9654,c_807]) ).
tff(c_9752,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_9751]) ).
tff(c_9755,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9752,c_334]) ).
tff(c_9578,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9567,c_784]) ).
tff(c_9579,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_9578]) ).
tff(c_9580,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_9579]) ).
tff(c_9608,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9580,c_9567,c_204]) ).
tff(c_9609,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_9579]) ).
tff(c_9777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9649,c_9755,c_9609]) ).
tff(c_9778,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_9751]) ).
tff(c_180,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_9741,plain,
op(op(e0,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_526,c_180]) ).
tff(c_9780,plain,
op(e2,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_9778,c_9741]) ).
tff(c_9790,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_526,c_9780]) ).
tff(c_9792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_9790]) ).
tff(c_9794,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_9561]) ).
tff(c_9822,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_9794,c_8093]) ).
tff(c_9823,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_9822]) ).
tff(c_9828,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9823,c_252]) ).
tff(c_9826,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9823,c_250]) ).
tff(c_9841,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_9826,c_6424]) ).
tff(c_9842,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_9841]) ).
tff(c_9793,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_9561]) ).
tff(c_9891,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9842,c_9793]) ).
tff(c_9892,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_9891]) ).
tff(c_9824,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_9823,c_178]) ).
tff(c_9895,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_9892,c_9824]) ).
tff(c_9904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9828,c_9895]) ).
tff(c_9905,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_9841]) ).
tff(c_9912,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9905,c_236]) ).
tff(c_9919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9569,c_9912,c_5216]) ).
tff(c_9920,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_9822]) ).
tff(c_9928,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9920,c_240]) ).
tff(c_9966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9569,c_9928,c_5216]) ).
tff(c_9967,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_5235]) ).
tff(c_11183,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_9967]) ).
tff(c_11191,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11183,c_272]) ).
tff(c_11225,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11191,c_8093]) ).
tff(c_11226,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_11225]) ).
tff(c_186,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_11220,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_11183,c_186]) ).
tff(c_11227,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_11226,c_11226,c_11220]) ).
tff(c_11237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_11227]) ).
tff(c_11238,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_11225]) ).
tff(c_11245,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11238,c_240]) ).
tff(c_11282,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_11245,c_5216]) ).
tff(c_11317,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_11282,c_445,c_160]) ).
tff(c_11318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_11317]) ).
tff(c_11319,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_9967]) ).
tff(c_11542,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_11319]) ).
tff(c_11550,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11542,c_238]) ).
tff(c_11560,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_11550,c_5216]) ).
tff(c_11561,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_11560,c_11560,c_11516]) ).
tff(c_11572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_11561]) ).
tff(c_11573,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_11319]) ).
tff(c_11580,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11573,c_246]) ).
tff(c_11321,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_6424]) ).
tff(c_11324,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11321,c_270]) ).
tff(c_11342,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11324,c_8093]) ).
tff(c_11343,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_11342]) ).
tff(c_372,plain,
op(e2,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_11351,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11343,c_372]) ).
tff(c_11360,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11321,c_9561]) ).
tff(c_11361,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_11324,c_410,c_11360]) ).
tff(c_11404,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_11361,c_11343,c_186]) ).
tff(c_176,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_11405,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_11404,c_11404,c_176]) ).
tff(c_11414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11351,c_11405]) ).
tff(c_11415,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_11342]) ).
tff(c_11422,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11415,c_240]) ).
tff(c_11443,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_11422,c_5216]) ).
tff(c_11456,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_11443,c_445,c_160]) ).
tff(c_11457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_11456]) ).
tff(c_11458,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_6424]) ).
tff(c_11621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11608,c_11580,c_11458]) ).
tff(c_11622,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_430]) ).
tff(c_27039,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_27045,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_27039,c_306]) ).
tff(c_312,plain,
op(e2,e4) != op(e1,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_27042,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_27039,c_312]) ).
tff(c_22668,plain,
( ( e4 = e0 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_445,c_434]) ).
tff(c_22669,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_22668]) ).
tff(c_22670,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_22669]) ).
tff(c_22785,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_22670,c_294]) ).
tff(c_22787,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_22669]) ).
tff(c_22789,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_22787,c_444]) ).
tff(c_22790,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_22789]) ).
tff(c_27027,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22790,c_280]) ).
tff(c_17340,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_14948,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_288]) ).
tff(c_15012,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_14948,c_442]) ).
tff(c_15013,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_15012]) ).
tff(c_15113,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15013,c_270]) ).
tff(c_15032,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15013,c_272]) ).
tff(c_420,plain,
e1 != e0,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_11624,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_432]) ).
tff(c_14950,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11624,c_444]) ).
tff(c_14951,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_14950]) ).
tff(c_14952,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_14951]) ).
tff(c_15009,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_14952,c_294]) ).
tff(c_15011,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_14951]) ).
tff(c_15015,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15013,c_380]) ).
tff(c_15022,plain,
( ( e4 = e0 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_445,c_434]) ).
tff(c_15023,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_15011,c_15015,c_414,c_15022]) ).
tff(c_15024,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_15023]) ).
tff(c_15033,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15024,c_440]) ).
tff(c_15034,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_15032,c_15033]) ).
tff(c_15035,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_15034]) ).
tff(c_358,plain,
op(e2,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_15043,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15035,c_15024,c_358]) ).
tff(c_15045,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_15034]) ).
tff(c_15014,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15013,c_372]) ).
tff(c_15114,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_15045,c_15014,c_11622]) ).
tff(c_15115,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_15114]) ).
tff(c_15121,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_15115,c_306]) ).
tff(c_304,plain,
op(e4,e4) != op(e2,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_15120,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_15115,c_304]) ).
tff(c_15020,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15013,c_368]) ).
tff(c_354,plain,
op(e4,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_15025,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15024,c_354]) ).
tff(c_15046,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_15020,c_15025,c_426]) ).
tff(c_15047,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_15046]) ).
tff(c_388,plain,
op(e4,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_15099,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15047,c_11624,c_388]) ).
tff(c_15100,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_15046]) ).
tff(c_15161,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_15120,c_15100]) ).
tff(c_15163,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15161,c_322]) ).
tff(c_15158,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15024,c_356]) ).
tff(c_390,plain,
op(e3,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_11625,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11624,c_390]) ).
tff(c_11630,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_11625,c_428]) ).
tff(c_11631,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_11630]) ).
tff(c_13055,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11631,c_362]) ).
tff(c_12993,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_13050,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12993,c_11624,c_388]) ).
tff(c_13051,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_13927,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_13055,c_13051]) ).
tff(c_13928,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_13927]) ).
tff(c_214,plain,
op(e4,e4) != op(e4,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_13994,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_13928,c_214]) ).
tff(c_13996,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_13928,c_208]) ).
tff(c_11764,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_288]) ).
tff(c_11767,plain,
( ( op(e4,e1) = e4 )
| ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11631,c_442]) ).
tff(c_11768,plain,
( ( op(e4,e1) = e4 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_11764,c_410,c_11767]) ).
tff(c_11769,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_11768]) ).
tff(c_11812,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11631,c_11769,c_370]) ).
tff(c_11813,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_11768]) ).
tff(c_14137,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_13996,c_11813]) ).
tff(c_14142,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14137,c_252]) ).
tff(c_12982,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_12990,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12982,c_445,c_284]) ).
tff(c_12991,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_13937,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_12991]) ).
tff(c_13973,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13928,c_13937,c_204]) ).
tff(c_13974,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_12991]) ).
tff(c_14003,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_13974]) ).
tff(c_14060,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_13996,c_11813]) ).
tff(c_14004,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_14003,c_178]) ).
tff(c_14061,plain,
op(e1,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_14060,c_14004]) ).
tff(c_14070,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_14003,c_14061]) ).
tff(c_14072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_14070]) ).
tff(c_14073,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_13974]) ).
tff(c_14165,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_14142,c_14073]) ).
tff(c_14173,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14165,c_238]) ).
tff(c_11640,plain,
( ( e4 = e0 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_445,c_434]) ).
tff(c_11641,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_11640]) ).
tff(c_11642,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_11641]) ).
tff(c_400,plain,
op(e1,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_11761,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11624,c_11642,c_400]) ).
tff(c_11763,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_11641]) ).
tff(c_11815,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11624,c_444]) ).
tff(c_11816,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11763,c_420,c_11815]) ).
tff(c_11817,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_11816]) ).
tff(c_258,plain,
op(e2,e2) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_12619,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11817,c_258]) ).
tff(c_11824,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_11835,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11824,c_445,c_284]) ).
tff(c_11836,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_12512,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_11836]) ).
tff(c_12556,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_12512,c_212]) ).
tff(c_260,plain,
op(e2,e1) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_12521,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11817,c_260]) ).
tff(c_12615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12556,c_12521,c_11813]) ).
tff(c_12616,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_11836]) ).
tff(c_12731,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_12619,c_12616]) ).
tff(c_12732,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_12731]) ).
tff(c_12735,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12732,c_266]) ).
tff(c_256,plain,
op(e2,e3) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_12713,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11817,c_256]) ).
tff(c_12622,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_12638,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_12622,c_210]) ).
tff(c_12618,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11817,c_260]) ).
tff(c_12710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12638,c_12618,c_11813]) ).
tff(c_12711,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_12759,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_12735,c_12713,c_12711]) ).
tff(c_326,plain,
op(e3,e3) != op(e2,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_12761,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12759,c_326]) ).
tff(c_11639,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11631,c_366]) ).
tff(c_11913,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_11639,c_11622]) ).
tff(c_11914,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11913]) ).
tff(c_12093,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11817,c_258]) ).
tff(c_11919,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_11914,c_304]) ).
tff(c_12008,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11631,c_362]) ).
tff(c_11838,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_11898,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11838,c_11624,c_388]) ).
tff(c_11899,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_12083,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_11919,c_12008,c_11899]) ).
tff(c_12084,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_12083]) ).
tff(c_12086,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12084,c_334]) ).
tff(c_11904,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11631,c_376]) ).
tff(c_11762,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_11641]) ).
tff(c_12218,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_12086,c_11904,c_11762]) ).
tff(c_12196,plain,
op(op(e0,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_11817,c_180]) ).
tff(c_12220,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_12218,c_12196]) ).
tff(c_12230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12093,c_12220]) ).
tff(c_12231,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_12083]) ).
tff(c_172,plain,
op(op(e4,e2),op(e2,e4)) = e2,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_12360,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_11914,c_12231,c_11914,c_172]) ).
tff(c_12361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_12360]) ).
tff(c_12362,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_11913]) ).
tff(c_12850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12619,c_12761,c_12362]) ).
tff(c_12851,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_12731]) ).
tff(c_12861,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12851,c_226]) ).
tff(c_12966,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_12619,c_12362]) ).
tff(c_12891,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_12851,c_166]) ).
tff(c_12967,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_12966,c_12891]) ).
tff(c_12978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12861,c_12967]) ).
tff(c_12979,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_11816]) ).
tff(c_14187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13994,c_14173,c_12979]) ).
tff(c_14188,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_13927]) ).
tff(c_14780,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_14188]) ).
tff(c_14790,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14780,c_344]) ).
tff(c_13068,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_11639,c_11622]) ).
tff(c_13069,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_13068]) ).
tff(c_13074,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_13069,c_304]) ).
tff(c_13082,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_13074,c_13055,c_13051]) ).
tff(c_13083,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_13082]) ).
tff(c_13084,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13083,c_334]) ).
tff(c_13498,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_11813]) ).
tff(c_13505,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_13498,c_220]) ).
tff(c_13533,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_13505,c_12979]) ).
tff(c_13538,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13533,c_238]) ).
tff(c_13231,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_11813]) ).
tff(c_13237,plain,
op(e1,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_13231,c_368]) ).
tff(c_13239,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_13231,c_374]) ).
tff(c_13090,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_12991]) ).
tff(c_156,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_13187,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_13069,c_13090,c_156]) ).
tff(c_13188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13074,c_13187]) ).
tff(c_13189,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_12991]) ).
tff(c_13217,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_13189]) ).
tff(c_348,plain,
op(e4,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_13225,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13217,c_348]) ).
tff(c_13416,plain,
( ( op(e4,e4) = e1 )
| ( e3 = e1 )
| ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13231,c_13083,c_66]) ).
tff(c_13417,plain,
( ( op(e4,e4) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_13225,c_410,c_13416]) ).
tff(c_13418,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_13417]) ).
tff(c_13312,plain,
op(e0,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_160]) ).
tff(c_13420,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_13418,c_13312]) ).
tff(c_13430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13239,c_13420]) ).
tff(c_13431,plain,
op(e4,e4) = e1,
inference(splitRight,[status(thm)],[c_13417]) ).
tff(c_13433,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_13431,c_13431,c_152]) ).
tff(c_13442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13237,c_13433]) ).
tff(c_13443,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_11813]) ).
tff(c_13475,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_13443,c_13443,c_13217,c_186]) ).
tff(c_13476,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_13475]) ).
tff(c_13477,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_13189]) ).
tff(c_13569,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_13538,c_13477]) ).
tff(c_13576,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13569,c_358]) ).
tff(c_13061,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11631,c_376]) ).
tff(c_13595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13084,c_13576,c_13061,c_11762]) ).
tff(c_13596,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_11813]) ).
tff(c_13602,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13596,c_252]) ).
tff(c_13654,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_13602,c_13477]) ).
tff(c_13619,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_12979]) ).
tff(c_13637,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_13619,c_445,c_160]) ).
tff(c_13638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_13637]) ).
tff(c_13639,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_12979]) ).
tff(c_13646,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13639,c_238]) ).
tff(c_13668,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13654,c_13646]) ).
tff(c_13669,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_13082]) ).
tff(c_13923,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_13069,c_13069,c_13669,c_172]) ).
tff(c_13924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_13923]) ).
tff(c_13925,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_13068]) ).
tff(c_14803,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_14790,c_13925]) ).
tff(c_14805,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14803,c_326]) ).
tff(c_14339,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_14341,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_14339,c_216]) ).
tff(c_14486,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_14341,c_12979]) ).
tff(c_14493,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14486,c_238]) ).
tff(c_14351,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_14339,c_210]) ).
tff(c_14459,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_14351,c_11813]) ).
tff(c_14465,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14459,c_252]) ).
tff(c_14190,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_12991]) ).
tff(c_14223,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_14190,c_212]) ).
tff(c_14247,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_14223,c_11813]) ).
tff(c_14251,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14247,c_252]) ).
tff(c_14298,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_14251,c_13925]) ).
tff(c_324,plain,
op(e4,e3) != op(e2,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_14302,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14298,c_324]) ).
tff(c_14334,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14190,c_14188]) ).
tff(c_14335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_14302,c_14334]) ).
tff(c_14336,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_12991]) ).
tff(c_14383,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_14336]) ).
tff(c_14411,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_14351,c_11813]) ).
tff(c_14384,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_14383,c_178]) ).
tff(c_14412,plain,
op(e1,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_14411,c_14384]) ).
tff(c_14421,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_14383,c_14412]) ).
tff(c_14423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_14421]) ).
tff(c_14424,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_14336]) ).
tff(c_14584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14493,c_14465,c_14424]) ).
tff(c_14585,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_14625,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_14585]) ).
tff(c_14665,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_14625,c_11631,c_168]) ).
tff(c_14713,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_14665,c_14625,c_11631,c_184]) ).
tff(c_14714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_14713]) ).
tff(c_14715,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_14585]) ).
tff(c_14859,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14803,c_14715]) ).
tff(c_14860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14805,c_406,c_14859]) ).
tff(c_14861,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_14188]) ).
tff(c_14865,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14861,c_322]) ).
tff(c_14867,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14861,c_324]) ).
tff(c_14877,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_14867,c_13925]) ).
tff(c_14884,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14877,c_246]) ).
tff(c_14945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14865,c_14884,c_14715]) ).
tff(c_14946,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_11630]) ).
tff(c_15173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15121,c_15163,c_15158,c_14946]) ).
tff(c_15174,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_15114]) ).
tff(c_15186,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15174,c_524]) ).
tff(c_15187,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_15113,c_15186]) ).
tff(c_15188,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_15187]) ).
tff(c_15207,plain,
( ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15188,c_15100]) ).
tff(c_15208,plain,
op(e4,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_15207]) ).
tff(c_15221,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15208,c_15188,c_202]) ).
tff(c_15222,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_15187]) ).
tff(c_15259,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15222,c_15174,c_326]) ).
tff(c_15260,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_15023]) ).
tff(c_338,plain,
op(e2,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_15374,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15260,c_338]) ).
tff(c_15493,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_15374,c_15014,c_11622]) ).
tff(c_15494,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_15493]) ).
tff(c_15500,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_15494,c_306]) ).
tff(c_15265,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15260,c_336]) ).
tff(c_15499,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_15494,c_304]) ).
tff(c_15375,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15013,c_270]) ).
tff(c_15483,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_15265,c_15375,c_524]) ).
tff(c_15484,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_15483]) ).
tff(c_15293,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_15020,c_426]) ).
tff(c_15294,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_15293]) ).
tff(c_15360,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15294,c_11624,c_388]) ).
tff(c_15361,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_15293]) ).
tff(c_15516,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15484,c_15361]) ).
tff(c_15517,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_15499,c_402,c_15516]) ).
tff(c_15520,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15517,c_342]) ).
tff(c_15530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15500,c_15265,c_15520,c_14946]) ).
tff(c_15531,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_15493]) ).
tff(c_15536,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15531,c_344]) ).
tff(c_15554,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15484,c_15361]) ).
tff(c_15555,plain,
op(e4,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_15536,c_15554]) ).
tff(c_15568,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15555,c_15484,c_202]) ).
tff(c_15569,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_15483]) ).
tff(c_15571,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15569,c_246]) ).
tff(c_15580,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( op(e2,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15569,c_11622]) ).
tff(c_15581,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_15014,c_15580]) ).
tff(c_15582,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_15581]) ).
tff(c_15585,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_15582,c_304]) ).
tff(c_15264,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15260,c_334]) ).
tff(c_15586,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_15582,c_306]) ).
tff(c_15601,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_15586,c_15265,c_14946]) ).
tff(c_15603,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15601,c_342]) ).
tff(c_15616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15585,c_15264,c_15603,c_15361]) ).
tff(c_15617,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_15581]) ).
tff(c_15619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15571,c_15617]) ).
tff(c_15621,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_15012]) ).
tff(c_15623,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_15739,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11624,c_15623,c_388]) ).
tff(c_15740,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_16686,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_15740]) ).
tff(c_16688,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_16686,c_302]) ).
tff(c_17170,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_16688,c_14946]) ).
tff(c_17171,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_17170]) ).
tff(c_17175,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17171,c_230]) ).
tff(c_15620,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_15012]) ).
tff(c_17183,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_17175,c_15620]) ).
tff(c_17184,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_17183]) ).
tff(c_17197,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17184,c_16686,c_208]) ).
tff(c_17198,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_17183]) ).
tff(c_17214,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17198,c_252]) ).
tff(c_17006,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_16686,c_214]) ).
tff(c_16687,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_16686,c_304]) ).
tff(c_16904,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_16687,c_11622]) ).
tff(c_16905,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_16904]) ).
tff(c_16818,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_16901,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16686,c_16818,c_202]) ).
tff(c_16902,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_16918,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16905,c_16902]) ).
tff(c_16919,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_16918]) ).
tff(c_16920,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_16919]) ).
tff(c_16925,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16920,c_266]) ).
tff(c_16933,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_16688,c_14946]) ).
tff(c_16934,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_16933]) ).
tff(c_16961,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16934,c_16905,c_326]) ).
tff(c_16962,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_16933]) ).
tff(c_15742,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_15762,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15742,c_445,c_284]) ).
tff(c_15763,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_16695,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_15763]) ).
tff(c_16815,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16686,c_16695,c_204]) ).
tff(c_16816,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_15763]) ).
tff(c_16976,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16962,c_16816]) ).
tff(c_16977,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_16925,c_406,c_16976]) ).
tff(c_16967,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16962,c_346]) ).
tff(c_16990,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16977,c_16967]) ).
tff(c_16991,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_16919]) ).
tff(c_16993,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16991,c_236]) ).
tff(c_16995,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16991,c_230]) ).
tff(c_17007,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_16995,c_15620]) ).
tff(c_17008,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_17007]) ).
tff(c_17020,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17008,c_16686,c_208]) ).
tff(c_17021,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_17007]) ).
tff(c_17026,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17021,c_260]) ).
tff(c_15010,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_14951]) ).
tff(c_17061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17006,c_16993,c_17026,c_15010]) ).
tff(c_17062,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_16904]) ).
tff(c_17239,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17198,c_17062]) ).
tff(c_17240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_17214,c_17239]) ).
tff(c_17241,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_17170]) ).
tff(c_17246,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17241,c_346]) ).
tff(c_17314,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_17246,c_17062]) ).
tff(c_17285,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17241,c_16816]) ).
tff(c_17286,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_17246,c_406,c_17285]) ).
tff(c_17336,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_17314,c_17286,c_186]) ).
tff(c_17337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15621,c_17336]) ).
tff(c_17338,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_15740]) ).
tff(c_18645,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17340,c_17338]) ).
tff(c_18646,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_18645]) ).
tff(c_18647,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_18646]) ).
tff(c_364,plain,
op(e4,e1) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_18653,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18647,c_364]) ).
tff(c_17347,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_17352,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_17347,c_306]) ).
tff(c_17766,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17340,c_17338]) ).
tff(c_17767,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_17766]) ).
tff(c_17768,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_17767]) ).
tff(c_17783,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17768,c_15620]) ).
tff(c_17784,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_17783]) ).
tff(c_17785,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_17784]) ).
tff(c_17793,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17785,c_230]) ).
tff(c_17799,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_17352,c_17793,c_14946]) ).
tff(c_17803,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17799,c_346]) ).
tff(c_17358,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_15763]) ).
tff(c_17390,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17358,c_17340,c_206]) ).
tff(c_17391,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_15763]) ).
tff(c_17398,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_17391]) ).
tff(c_17521,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_15620]) ).
tff(c_17532,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17521,c_17340,c_210]) ).
tff(c_17533,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_15620]) ).
tff(c_17569,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_17533]) ).
tff(c_17582,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_17398,c_17569,c_17398,c_178]) ).
tff(c_17583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_17582]) ).
tff(c_17584,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_17533]) ).
tff(c_17592,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17584,c_228]) ).
tff(c_16684,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11624,c_276]) ).
tff(c_17342,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_17340,c_216]) ).
tff(c_17412,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_17352,c_14946]) ).
tff(c_17413,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_17412]) ).
tff(c_17415,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17413,c_236]) ).
tff(c_17419,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17413,c_336]) ).
tff(c_17417,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17413,c_230]) ).
tff(c_17426,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_17417,c_15620]) ).
tff(c_17427,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_17426]) ).
tff(c_17441,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17427,c_17340,c_17338]) ).
tff(c_17442,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_17441]) ).
tff(c_17448,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17442,c_354]) ).
tff(c_15765,plain,
( ( e4 = e0 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_445,c_434]) ).
tff(c_15766,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_15011,c_414,c_15765]) ).
tff(c_15767,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_15766]) ).
tff(c_16672,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_11624,c_11624,c_15767,c_190]) ).
tff(c_16673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_16672]) ).
tff(c_16674,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_15766]) ).
tff(c_17457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17419,c_17448,c_16674]) ).
tff(c_17458,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_17426]) ).
tff(c_17462,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17458,c_260]) ).
tff(c_17506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17342,c_17415,c_17462,c_15010]) ).
tff(c_17507,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_17412]) ).
tff(c_17514,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17507,c_238]) ).
tff(c_17588,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17584,c_240]) ).
tff(c_20,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_17735,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_11625,c_17514,c_17588,c_20]) ).
tff(c_17736,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_17735]) ).
tff(c_17512,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17507,c_356]) ).
tff(c_17553,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_17512,c_16674]) ).
tff(c_17629,plain,
op(op(e3,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_17553,c_194]) ).
tff(c_17738,plain,
op(e1,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_17736,c_17629]) ).
tff(c_17748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16684,c_17738]) ).
tff(c_17749,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_17735]) ).
tff(c_17634,plain,
op(e3,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_17553,c_170]) ).
tff(c_17752,plain,
op(e3,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_17749,c_17634]) ).
tff(c_17762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17592,c_17752]) ).
tff(c_17763,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_17391]) ).
tff(c_17828,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17799,c_17763]) ).
tff(c_17829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_17803,c_17828]) ).
tff(c_17830,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_17784]) ).
tff(c_17834,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17830,c_252]) ).
tff(c_17844,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_17352,c_14946]) ).
tff(c_17845,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_17844]) ).
tff(c_17851,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17845,c_226]) ).
tff(c_17875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17851,c_17834,c_17763]) ).
tff(c_17876,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_17844]) ).
tff(c_17905,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17876,c_17763]) ).
tff(c_17906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_17834,c_17905]) ).
tff(c_17907,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_17767]) ).
tff(c_17913,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17907,c_342]) ).
tff(c_17952,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_17352,c_17913,c_14946]) ).
tff(c_17958,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17952,c_336]) ).
tff(c_17914,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17907,c_354]) ).
tff(c_17966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17958,c_17914,c_16674]) ).
tff(c_17967,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_18761,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_18653,c_17967]) ).
tff(c_18762,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_18761]) ).
tff(c_18767,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18762,c_346]) ).
tff(c_18667,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18647,c_15620]) ).
tff(c_18668,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_18667]) ).
tff(c_18669,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_18668]) ).
tff(c_18677,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18669,c_230]) ).
tff(c_18686,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_18677,c_14946]) ).
tff(c_18687,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_18686]) ).
tff(c_162,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_18662,plain,
op(e4,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_17340,c_162]) ).
tff(c_18689,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_18687,c_18662]) ).
tff(c_18757,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_18689,c_18687,c_17340,c_154]) ).
tff(c_18758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_18757]) ).
tff(c_18759,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_18686]) ).
tff(c_18788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18767,c_18759]) ).
tff(c_18790,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_18761]) ).
tff(c_18580,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_16674]) ).
tff(c_18585,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18580,c_338]) ).
tff(c_18029,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_17340,c_210]) ).
tff(c_18457,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_18029,c_15620]) ).
tff(c_18458,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_18457]) ).
tff(c_18467,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18458,c_230]) ).
tff(c_17339,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_15740]) ).
tff(c_18044,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_14946]) ).
tff(c_18228,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_17340,c_18044,c_154]) ).
tff(c_18229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17339,c_18228]) ).
tff(c_18230,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_14946]) ).
tff(c_18510,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_18467,c_18230]) ).
tff(c_17969,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_15763]) ).
tff(c_18019,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17969,c_17340,c_206]) ).
tff(c_18020,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_15763]) ).
tff(c_18031,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_18020]) ).
tff(c_18232,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17340,c_17338]) ).
tff(c_18233,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_18232]) ).
tff(c_18234,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_18233]) ).
tff(c_18240,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18234,c_364]) ).
tff(c_18273,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_18240,c_17967]) ).
tff(c_18274,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_18273]) ).
tff(c_18279,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18274,c_346]) ).
tff(c_18253,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18234,c_15620]) ).
tff(c_18254,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_18253]) ).
tff(c_18255,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_18254]) ).
tff(c_18263,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18255,c_230]) ).
tff(c_18324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18279,c_18263,c_18230]) ).
tff(c_18325,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_18273]) ).
tff(c_18331,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18325,c_338]) ).
tff(c_18348,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_18331,c_16674]) ).
tff(c_18353,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18348,c_356]) ).
tff(c_18380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18353,c_18263,c_18230]) ).
tff(c_18381,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_18254]) ).
tff(c_18453,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_18031,c_18381,c_18031,c_178]) ).
tff(c_18454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_18453]) ).
tff(c_18455,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_18233]) ).
tff(c_18491,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18455,c_342]) ).
tff(c_18523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18510,c_18491]) ).
tff(c_18524,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_18457]) ).
tff(c_18550,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18524,c_17967]) ).
tff(c_18551,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_18550]) ).
tff(c_18552,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_18551]) ).
tff(c_18539,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18524,c_252]) ).
tff(c_18577,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18552,c_18539]) ).
tff(c_18578,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_18551]) ).
tff(c_18605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18585,c_18578]) ).
tff(c_18606,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_16674]) ).
tff(c_18533,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18455,c_354]) ).
tff(c_18642,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18606,c_18533]) ).
tff(c_18643,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_18020]) ).
tff(c_18816,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18759,c_18643]) ).
tff(c_18817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_18790,c_18816]) ).
tff(c_18818,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_18668]) ).
tff(c_18822,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18818,c_252]) ).
tff(c_18857,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18818,c_17967]) ).
tff(c_18858,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_18822,c_18857]) ).
tff(c_18864,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18858,c_246]) ).
tff(c_18915,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_18822,c_18643]) ).
tff(c_174,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_18897,plain,
op(op(e3,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_18858,c_174]) ).
tff(c_18916,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_18915,c_18897]) ).
tff(c_164,plain,
op(op(e3,e3),op(e3,e3)) = e3,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_18943,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_18916,c_18916,c_164]) ).
tff(c_18944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18864,c_18943]) ).
tff(c_18945,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_18646]) ).
tff(c_18951,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18945,c_344]) ).
tff(c_18972,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_18029,c_15620]) ).
tff(c_18973,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_18972]) ).
tff(c_18980,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18973,c_232]) ).
tff(c_19035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18980,c_18951,c_18643]) ).
tff(c_19036,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_18972]) ).
tff(c_19050,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19036,c_17967]) ).
tff(c_19051,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_18951,c_19050]) ).
tff(c_19053,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19051,c_338]) ).
tff(c_18954,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18945,c_354]) ).
tff(c_19064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19053,c_18954,c_16674]) ).
tff(c_19065,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_22202,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_19065]) ).
tff(c_22210,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22202,c_266]) ).
tff(c_19733,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_15763]) ).
tff(c_19748,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19733,c_17338]) ).
tff(c_19749,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_19748]) ).
tff(c_19750,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_19749]) ).
tff(c_19755,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19750,c_364]) ).
tff(c_19764,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19750,c_15620]) ).
tff(c_19765,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_19764]) ).
tff(c_19766,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_19765]) ).
tff(c_19774,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19766,c_230]) ).
tff(c_19809,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19774,c_19065]) ).
tff(c_19810,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_19809]) ).
tff(c_19794,plain,
op(e3,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_19766,c_184]) ).
tff(c_19811,plain,
op(e3,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_19810,c_19794]) ).
tff(c_19824,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_19811,c_19766]) ).
tff(c_19826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_19824]) ).
tff(c_19827,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_19809]) ).
tff(c_19068,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_19074,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_19068,c_306]) ).
tff(c_19520,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_19074,c_14946]) ).
tff(c_19521,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_19520]) ).
tff(c_19522,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19521,c_322]) ).
tff(c_19528,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19521,c_336]) ).
tff(c_19594,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_19528,c_16674]) ).
tff(c_19601,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19594,c_354]) ).
tff(c_19260,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_17338]) ).
tff(c_19272,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19260,c_15620]) ).
tff(c_19273,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_19272]) ).
tff(c_19274,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_19273]) ).
tff(c_19276,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19274,c_240]) ).
tff(c_19282,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19274,c_230]) ).
tff(c_19300,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19282,c_19065]) ).
tff(c_19301,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_19300]) ).
tff(c_19308,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19301,c_266]) ).
tff(c_19287,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_19074,c_19282,c_14946]) ).
tff(c_19291,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19287,c_346]) ).
tff(c_19080,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_15763]) ).
tff(c_19171,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_19080,c_19068,c_172]) ).
tff(c_19251,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_19171,c_19080,c_19068,c_156]) ).
tff(c_19252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_19251]) ).
tff(c_19253,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_15763]) ).
tff(c_19314,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19287,c_19253]) ).
tff(c_19315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19308,c_19291,c_406,c_19314]) ).
tff(c_19316,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_19300]) ).
tff(c_19321,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19316,c_256]) ).
tff(c_19394,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_19276,c_19321,c_15010]) ).
tff(c_19353,plain,
op(e0,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_160]) ).
tff(c_19395,plain,
op(e0,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_19394,c_19353]) ).
tff(c_19404,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_19395]) ).
tff(c_19406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_19404]) ).
tff(c_19407,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_19273]) ).
tff(c_19411,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19407,c_252]) ).
tff(c_19421,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_19074,c_14946]) ).
tff(c_19422,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_19421]) ).
tff(c_19427,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19422,c_226]) ).
tff(c_19460,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_19411,c_19427,c_19253]) ).
tff(c_19473,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_19460,c_19460,c_19407,c_178]) ).
tff(c_19474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_19473]) ).
tff(c_19475,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_19421]) ).
tff(c_19489,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19475,c_19253]) ).
tff(c_19490,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_19411,c_406,c_19489]) ).
tff(c_19497,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19490,c_266]) ).
tff(c_19410,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19407,c_250]) ).
tff(c_19476,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_19421]) ).
tff(c_19503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19497,c_19410,c_19476,c_19065]) ).
tff(c_19504,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_17338]) ).
tff(c_19621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19522,c_19601,c_19504]) ).
tff(c_19622,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_19520]) ).
tff(c_19627,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19622,c_356]) ).
tff(c_19699,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_19627,c_16674]) ).
tff(c_19705,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19699,c_334]) ).
tff(c_19628,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19622,c_342]) ).
tff(c_19730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19705,c_19628,c_19504]) ).
tff(c_19731,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_19841,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19827,c_19731]) ).
tff(c_19842,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_19755,c_406,c_19841]) ).
tff(c_19834,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19827,c_246]) ).
tff(c_19855,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19842,c_19834]) ).
tff(c_19856,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_19765]) ).
tff(c_20109,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19856,c_19731]) ).
tff(c_20110,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_20109]) ).
tff(c_20111,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_20110]) ).
tff(c_19860,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19856,c_252]) ).
tff(c_20138,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20111,c_19860]) ).
tff(c_20139,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_20110]) ).
tff(c_20158,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20139,c_338]) ).
tff(c_20166,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_20158,c_16674]) ).
tff(c_20171,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20166,c_356]) ).
tff(c_20155,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20139,c_326]) ).
tff(c_19898,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19856,c_19731]) ).
tff(c_19899,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_19860,c_19898]) ).
tff(c_19907,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19899,c_242]) ).
tff(c_19734,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_19733,c_344]) ).
tff(c_19905,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19899,c_338]) ).
tff(c_19927,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_19905,c_16674]) ).
tff(c_62,plain,
( ( op(e4,e4) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_20064,plain,
( ( op(e4,e4) = e2 )
| ( op(e4,e3) = e2 )
| ( e4 = e2 )
| ( e2 = e1 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19750,c_19733,c_62]) ).
tff(c_20065,plain,
( ( op(e4,e4) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_404,c_20064]) ).
tff(c_20066,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_20065]) ).
tff(c_20005,plain,
op(e0,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_160]) ).
tff(c_20067,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_20066,c_20005]) ).
tff(c_20077,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_19927,c_20067]) ).
tff(c_20079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_20077]) ).
tff(c_20080,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_20065]) ).
tff(c_20082,plain,
op(e4,e4) = e2,
inference(splitLeft,[status(thm)],[c_20080]) ).
tff(c_20083,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_20082,c_20082,c_152]) ).
tff(c_20092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19734,c_20083]) ).
tff(c_20093,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_20080]) ).
tff(c_19870,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_14946]) ).
tff(c_19922,plain,
op(op(e4,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_19870,c_162]) ).
tff(c_20096,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_20093,c_19922]) ).
tff(c_20106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19907,c_20096]) ).
tff(c_20107,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_14946]) ).
tff(c_20198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20171,c_20155,c_20107]) ).
tff(c_20199,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_19749]) ).
tff(c_20205,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20199,c_334]) ).
tff(c_20202,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20199,c_322]) ).
tff(c_20228,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_20202,c_14946]) ).
tff(c_20229,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_20228]) ).
tff(c_20272,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_20199,c_20229,c_20199,c_154]) ).
tff(c_20273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_20272]) ).
tff(c_20274,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_20228]) ).
tff(c_20295,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20274,c_356]) ).
tff(c_20315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20205,c_20295,c_16674]) ).
tff(c_20316,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_15763]) ).
tff(c_22262,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_22210,c_20316]) ).
tff(c_22263,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_22262]) ).
tff(c_22269,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22263,c_346]) ).
tff(c_20322,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_17338]) ).
tff(c_20327,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_20322,c_364]) ).
tff(c_20335,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20322,c_15620]) ).
tff(c_20336,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_20335]) ).
tff(c_20337,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_20336]) ).
tff(c_20345,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20337,c_230]) ).
tff(c_20386,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_20345,c_19065]) ).
tff(c_20387,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_20386]) ).
tff(c_20381,plain,
op(e3,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_20337,c_184]) ).
tff(c_20388,plain,
op(e3,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_20387,c_20381]) ).
tff(c_20401,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_20388,c_20337]) ).
tff(c_20403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_20401]) ).
tff(c_20404,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_20386]) ).
tff(c_20432,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20404,c_19731]) ).
tff(c_20433,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_20327,c_406,c_20432]) ).
tff(c_20411,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20404,c_246]) ).
tff(c_20446,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20433,c_20411]) ).
tff(c_20447,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_20336]) ).
tff(c_20451,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20447,c_252]) ).
tff(c_20450,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20447,c_250]) ).
tff(c_20474,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_20450,c_19065]) ).
tff(c_20475,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_20474]) ).
tff(c_20482,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_20475,c_266]) ).
tff(c_20530,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_20482,c_20451,c_20316]) ).
tff(c_20536,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20530,c_238]) ).
tff(c_20452,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20447,c_260]) ).
tff(c_20604,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_20536,c_20452,c_15010]) ).
tff(c_20561,plain,
op(op(e4,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_192]) ).
tff(c_20605,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_20604,c_20604,c_20561]) ).
tff(c_20616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_20605]) ).
tff(c_20617,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_20474]) ).
tff(c_20620,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20617,c_326]) ).
tff(c_20635,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20447,c_19731]) ).
tff(c_20636,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_20451,c_20620,c_20635]) ).
tff(c_20637,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_17338]) ).
tff(c_22018,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_20637]) ).
tff(c_21454,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_14946]) ).
tff(c_21472,plain,
op(e4,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_21454,c_154]) ).
tff(c_22019,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_22018,c_22018,c_21472]) ).
tff(c_22031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_22019]) ).
tff(c_22032,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_20637]) ).
tff(c_22041,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22032,c_344]) ).
tff(c_22044,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22032,c_354]) ).
tff(c_22078,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_22044,c_16674]) ).
tff(c_22087,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22078,c_336]) ).
tff(c_21310,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_20637]) ).
tff(c_21318,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21310,c_334]) ).
tff(c_21328,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_21318,c_16674]) ).
tff(c_21334,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21328,c_356]) ).
tff(c_21316,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21310,c_322]) ).
tff(c_21092,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_20637]) ).
tff(c_20682,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_14946]) ).
tff(c_20683,plain,
op(op(e4,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_20682,c_162]) ).
tff(c_21093,plain,
op(e3,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_21092,c_20683]) ).
tff(c_21106,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_21093,c_20682]) ).
tff(c_21108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_21106]) ).
tff(c_21109,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_20637]) ).
tff(c_21180,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21109,c_354]) ).
tff(c_21111,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_16674]) ).
tff(c_21120,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21111,c_336]) ).
tff(c_20656,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_15620]) ).
tff(c_20664,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_20656,c_220]) ).
tff(c_20981,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_20637]) ).
tff(c_20983,plain,
op(e3,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_20981,c_20683]) ).
tff(c_20995,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_20983,c_20682]) ).
tff(c_20997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_20995]) ).
tff(c_20998,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_20637]) ).
tff(c_21009,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20998,c_354]) ).
tff(c_20832,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_16674]) ).
tff(c_296,plain,
op(e0,e3) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_20839,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20832,c_296]) ).
tff(c_16675,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_15766]) ).
tff(c_20712,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_19065]) ).
tff(c_20719,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_20712,c_266]) ).
tff(c_20771,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_20719,c_20316]) ).
tff(c_20772,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_20771]) ).
tff(c_20775,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20772,c_358]) ).
tff(c_20789,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_20775,c_16674]) ).
tff(c_20797,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20789,c_334]) ).
tff(c_20778,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20772,c_344]) ).
tff(c_20816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20797,c_20778,c_20637]) ).
tff(c_20817,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_20771]) ).
tff(c_90,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_20953,plain,
( ( e4 = e0 )
| ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20817,c_20682,c_90]) ).
tff(c_20954,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_11625,c_416,c_414,c_20953]) ).
tff(c_20955,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_20954]) ).
tff(c_20942,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_20712,c_184]) ).
tff(c_20956,plain,
op(e0,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_20955,c_20942]) ).
tff(c_20966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16675,c_20956]) ).
tff(c_20967,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_20954]) ).
tff(c_20970,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_20967,c_20967,c_164]) ).
tff(c_20978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20839,c_20970]) ).
tff(c_20979,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_16674]) ).
tff(c_21029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21009,c_20979]) ).
tff(c_21030,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_19065]) ).
tff(c_21140,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_21120,c_21030]) ).
tff(c_21146,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21140,c_256]) ).
tff(c_21154,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_20664,c_21146,c_15010]) ).
tff(c_21113,plain,
op(e3,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_21111,c_170]) ).
tff(c_21167,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_21154,c_21113]) ).
tff(c_21168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21120,c_21167]) ).
tff(c_21169,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_16674]) ).
tff(c_21214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21180,c_21169]) ).
tff(c_21215,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_14946]) ).
tff(c_21363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21334,c_21316,c_21215]) ).
tff(c_21364,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_20637]) ).
tff(c_21374,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21364,c_342]) ).
tff(c_21375,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21364,c_354]) ).
tff(c_21388,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_21375,c_16674]) ).
tff(c_21396,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21388,c_336]) ).
tff(c_21419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21374,c_21396,c_21215]) ).
tff(c_21420,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_15620]) ).
tff(c_22064,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_21420]) ).
tff(c_22066,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22064,c_250]) ).
tff(c_21747,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_20637]) ).
tff(c_21749,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_21747,c_21747,c_21472]) ).
tff(c_21760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_21749]) ).
tff(c_21761,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_20637]) ).
tff(c_21773,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21761,c_354]) ).
tff(c_21778,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_21773,c_16674]) ).
tff(c_21784,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21778,c_338]) ).
tff(c_21482,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_19065]) ).
tff(c_21489,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_21482,c_266]) ).
tff(c_21702,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_21489,c_20316]) ).
tff(c_21703,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_21702]) ).
tff(c_21710,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21703,c_344]) ).
tff(c_21717,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_21710,c_20637]) ).
tff(c_21719,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_21717,c_21717,c_21472]) ).
tff(c_21730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_21719]) ).
tff(c_21732,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_21702]) ).
tff(c_21539,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_21489,c_20316]) ).
tff(c_21540,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_21539]) ).
tff(c_21544,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21540,c_358]) ).
tff(c_21559,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_21544,c_16674]) ).
tff(c_21567,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21559,c_334]) ).
tff(c_21547,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21540,c_344]) ).
tff(c_21587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21567,c_21547,c_20637]) ).
tff(c_21588,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_21539]) ).
tff(c_21598,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21588,c_232]) ).
tff(c_21503,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_19731]) ).
tff(c_21663,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21503,c_21420]) ).
tff(c_21664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_21598,c_21663]) ).
tff(c_21665,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_19731]) ).
tff(c_21846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21784,c_21732,c_21665]) ).
tff(c_21847,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_19065]) ).
tff(c_22093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22087,c_22066,c_21847]) ).
tff(c_22094,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_21420]) ).
tff(c_22106,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22094,c_230]) ).
tff(c_22130,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_22106,c_21847]) ).
tff(c_21883,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_19731]) ).
tff(c_21929,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21883,c_21420]) ).
tff(c_21930,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_21929]) ).
tff(c_21938,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21930,c_232]) ).
tff(c_21945,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_20637]) ).
tff(c_21946,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_21945,c_21945,c_21472]) ).
tff(c_21958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_21946]) ).
tff(c_21959,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_20637]) ).
tff(c_21968,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21959,c_344]) ).
tff(c_21914,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_20316]) ).
tff(c_21884,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_21883,c_186]) ).
tff(c_21916,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_21914,c_21884]) ).
tff(c_21926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15621,c_21916]) ).
tff(c_21927,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20316]) ).
tff(c_22003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21938,c_21968,c_21927]) ).
tff(c_22004,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_19731]) ).
tff(c_22165,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22130,c_22004]) ).
tff(c_22166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_22041,c_22165]) ).
tff(c_22167,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_14946]) ).
tff(c_22293,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_22269,c_22167]) ).
tff(c_22270,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22263,c_344]) ).
tff(c_22277,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_22270,c_20637]) ).
tff(c_22285,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22277,c_322]) ).
tff(c_22307,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22293,c_22285]) ).
tff(c_22308,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_22262]) ).
tff(c_22319,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22308,c_226]) ).
tff(c_22389,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22308,c_22167]) ).
tff(c_22390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_22319,c_22389]) ).
tff(c_22391,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_19065]) ).
tff(c_22415,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_22391]) ).
tff(c_22424,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22415,c_336]) ).
tff(c_22422,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22415,c_230]) ).
tff(c_22417,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22415,c_326]) ).
tff(c_22429,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_22417,c_19731]) ).
tff(c_22430,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_22429]) ).
tff(c_22478,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22430,c_21420]) ).
tff(c_22479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_22422,c_22478]) ).
tff(c_22480,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_22429]) ).
tff(c_22485,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22480,c_358]) ).
tff(c_22499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22424,c_22485,c_16674]) ).
tff(c_22500,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_22391]) ).
tff(c_22509,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22500,c_246]) ).
tff(c_22540,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22500,c_19731]) ).
tff(c_22541,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_22509,c_406,c_22540]) ).
tff(c_22516,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_22509,c_20316]) ).
tff(c_22517,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_22516]) ).
tff(c_22519,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_22517,c_186]) ).
tff(c_22542,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_22541,c_22519]) ).
tff(c_22553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15621,c_22542]) ).
tff(c_22554,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_22516]) ).
tff(c_22502,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_22500,c_166]) ).
tff(c_22588,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_22500,c_22554,c_22502]) ).
tff(c_22589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_22588]) ).
tff(c_22590,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_432]) ).
tff(c_27625,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_27042,c_27027,c_22590]) ).
tff(c_27626,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_27625]) ).
tff(c_27637,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27626,c_330]) ).
tff(c_314,plain,
op(e4,e4) != op(e0,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_452,plain,
op(e4,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_314]) ).
tff(c_22799,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_23177,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_22799,c_160]) ).
tff(c_200,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_23178,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_23177,c_23177,c_200]) ).
tff(c_23189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_23178]) ).
tff(c_23190,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_24282,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_23190]) ).
tff(c_24285,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_24282,c_308]) ).
tff(c_23227,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22790,c_280]) ).
tff(c_24450,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_24285,c_23227,c_22590]) ).
tff(c_24451,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_24450]) ).
tff(c_24452,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24451,c_270]) ).
tff(c_23226,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22790,c_278]) ).
tff(c_23234,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23226,c_22666]) ).
tff(c_23235,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_23234]) ).
tff(c_23243,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23235,c_23190]) ).
tff(c_23244,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_23243]) ).
tff(c_23245,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_23244]) ).
tff(c_23324,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23235,c_23245,c_204]) ).
tff(c_23326,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_23244]) ).
tff(c_23896,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_23931,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_23896,c_23235,c_156]) ).
tff(c_23932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23326,c_23931]) ).
tff(c_23933,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_23965,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_23933]) ).
tff(c_23971,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23965,c_364]) ).
tff(c_23340,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22790,c_400]) ).
tff(c_23203,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_23220,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23203,c_445,c_288]) ).
tff(c_23222,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_23233,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22790,c_276]) ).
tff(c_23341,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23233,c_524]) ).
tff(c_23342,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_23341]) ).
tff(c_23403,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23235,c_23342,c_206]) ).
tff(c_23404,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_23341]) ).
tff(c_23501,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_23404]) ).
tff(c_23509,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23501,c_246]) ).
tff(c_23327,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23227,c_22590]) ).
tff(c_23328,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_23327]) ).
tff(c_23333,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_23328,c_312]) ).
tff(c_23406,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_23333,c_11622]) ).
tff(c_23407,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_23406]) ).
tff(c_23450,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23407,c_326]) ).
tff(c_23466,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23407,c_23404]) ).
tff(c_23467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_23450,c_23466]) ).
tff(c_23468,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_23406]) ).
tff(c_23538,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_23509,c_23468]) ).
tff(c_23508,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23501,c_250]) ).
tff(c_23221,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_23473,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23227,c_23221]) ).
tff(c_23474,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_23473]) ).
tff(c_23487,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23474,c_23235,c_212]) ).
tff(c_23488,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_23473]) ).
tff(c_23516,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_23508,c_23488]) ).
tff(c_128,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_23730,plain,
( ( op(e4,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23538,c_23516,c_128]) ).
tff(c_23731,plain,
( ( op(e4,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_23222,c_420,c_416,c_23730]) ).
tff(c_23732,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_23731]) ).
tff(c_188,plain,
op(op(e1,e1),op(e1,e1)) = e1,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_23733,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_23732,c_23732,c_188]) ).
tff(c_23742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23340,c_23733]) ).
tff(c_23743,plain,
op(e4,e1) = e0,
inference(splitRight,[status(thm)],[c_23731]) ).
tff(c_23667,plain,
op(op(e4,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_23328,c_182]) ).
tff(c_23745,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_23743,c_23667]) ).
tff(c_23754,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_23745]) ).
tff(c_23756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_23754]) ).
tff(c_23757,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_23404]) ).
tff(c_23764,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23757,c_230]) ).
tff(c_23771,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_23764,c_23488]) ).
tff(c_23777,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23771,c_252]) ).
tff(c_23784,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23771,c_23468]) ).
tff(c_23785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_23777,c_23784]) ).
tff(c_23786,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_23327]) ).
tff(c_23987,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_23786]) ).
tff(c_23966,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_23965,c_186]) ).
tff(c_23988,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_23987,c_23987,c_23966]) ).
tff(c_23998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_23988]) ).
tff(c_23999,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_23786]) ).
tff(c_24002,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23999,c_328]) ).
tff(c_23325,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_23244]) ).
tff(c_24110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23971,c_24002,c_23325]) ).
tff(c_24111,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_23933]) ).
tff(c_24149,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_24111]) ).
tff(c_24151,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24149,c_326]) ).
tff(c_23790,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23233,c_524]) ).
tff(c_23791,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_23790]) ).
tff(c_23858,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23235,c_23791,c_206]) ).
tff(c_23859,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_23790]) ).
tff(c_24215,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24149,c_23859]) ).
tff(c_24216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_24151,c_24215]) ).
tff(c_24217,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_24111]) ).
tff(c_24221,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24217,c_352]) ).
tff(c_24231,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_24221,c_23786]) ).
tff(c_24236,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24231,c_270]) ).
tff(c_24225,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24217,c_252]) ).
tff(c_23863,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23227,c_23221]) ).
tff(c_23864,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_23863]) ).
tff(c_23891,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23864,c_23235,c_212]) ).
tff(c_23892,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_23863]) ).
tff(c_24255,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_24225,c_23892]) ).
tff(c_24232,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_24231,c_184]) ).
tff(c_24256,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_24255,c_24232]) ).
tff(c_24270,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_24256,c_24256,c_164]) ).
tff(c_24278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24236,c_24270]) ).
tff(c_24279,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_23234]) ).
tff(c_24531,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_24279]) ).
tff(c_24538,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24531,c_252]) ).
tff(c_24407,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23227,c_23221]) ).
tff(c_24408,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_24407]) ).
tff(c_24447,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24408,c_24282,c_208]) ).
tff(c_24448,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_24407]) ).
tff(c_24580,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_24538,c_24448]) ).
tff(c_24507,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_24451,c_184]) ).
tff(c_24581,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_24580,c_24507]) ).
tff(c_24594,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_24581,c_24581,c_164]) ).
tff(c_24603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24452,c_24594]) ).
tff(c_24604,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_24279]) ).
tff(c_24608,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24604,c_232]) ).
tff(c_24605,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_24279]) ).
tff(c_24619,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_24448]) ).
tff(c_24284,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_24282,c_304]) ).
tff(c_24292,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_24284,c_11622]) ).
tff(c_24293,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_24292]) ).
tff(c_24360,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24293,c_524]) ).
tff(c_24361,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_23233,c_24360]) ).
tff(c_24362,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_24361]) ).
tff(c_24383,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24362,c_24282,c_202]) ).
tff(c_24384,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_24361]) ).
tff(c_24404,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24384,c_24293,c_326]) ).
tff(c_24405,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_24292]) ).
tff(c_24632,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24619,c_24405]) ).
tff(c_24633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_24605,c_24632]) ).
tff(c_24634,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_24448]) ).
tff(c_24636,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24608,c_24634]) ).
tff(c_24637,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_24450]) ).
tff(c_24640,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24637,c_352]) ).
tff(c_24678,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_24640,c_24279]) ).
tff(c_24686,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24678,c_226]) ).
tff(c_24651,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23233,c_524]) ).
tff(c_24652,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_24651]) ).
tff(c_24671,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24652,c_24282,c_202]) ).
tff(c_24672,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_24651]) ).
tff(c_24692,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_24686,c_24672]) ).
tff(c_24697,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24692,c_250]) ).
tff(c_24681,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24678,c_232]) ).
tff(c_24709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24697,c_24681,c_24448]) ).
tff(c_24711,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_23190]) ).
tff(c_25680,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23227,c_23221]) ).
tff(c_25681,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_25680]) ).
tff(c_25691,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_25681,c_210]) ).
tff(c_25692,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_25691,c_23233,c_524]) ).
tff(c_25693,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_25692]) ).
tff(c_25694,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25693,c_330]) ).
tff(c_25706,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_25694,c_23227,c_22590]) ).
tff(c_25707,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_25706]) ).
tff(c_25731,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_25707,c_25681,c_158]) ).
tff(c_25732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24711,c_25731]) ).
tff(c_25733,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_25706]) ).
tff(c_25735,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25733,c_348]) ).
tff(c_25695,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25693,c_322]) ).
tff(c_24710,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_23190]) ).
tff(c_25772,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25681,c_24710]) ).
tff(c_25773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_25735,c_25695,c_25772]) ).
tff(c_25774,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_25692]) ).
tff(c_25779,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25774,c_246]) ).
tff(c_25963,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_25779,c_24279]) ).
tff(c_25885,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_25774,c_166]) ).
tff(c_25965,plain,
op(e2,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_25963,c_25885]) ).
tff(c_25973,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_25774,c_25965]) ).
tff(c_25975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_25973]) ).
tff(c_25976,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_25680]) ).
tff(c_26909,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_25976]) ).
tff(c_26918,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26909,c_252]) ).
tff(c_26925,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_26918,c_24279]) ).
tff(c_26934,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26925,c_226]) ).
tff(c_24713,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_24718,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_24713,c_312]) ).
tff(c_25405,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_24718,c_23227,c_22590]) ).
tff(c_25406,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_25405]) ).
tff(c_25409,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25406,c_270]) ).
tff(c_25473,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_24279]) ).
tff(c_25481,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25473,c_252]) ).
tff(c_24754,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_24718,c_23227,c_22590]) ).
tff(c_24755,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_24754]) ).
tff(c_24767,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24755,c_328]) ).
tff(c_24727,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23227,c_23221]) ).
tff(c_24728,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_24727]) ).
tff(c_24806,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24728,c_24710]) ).
tff(c_24807,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_24767,c_24806]) ).
tff(c_24792,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_24713,c_156]) ).
tff(c_24809,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_24807,c_24807,c_24792]) ).
tff(c_24819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_24809]) ).
tff(c_24820,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_24754]) ).
tff(c_24822,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24820,c_348]) ).
tff(c_24859,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24728,c_24710]) ).
tff(c_24860,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_24822,c_24859]) ).
tff(c_24866,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24860,c_322]) ).
tff(c_24740,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23233,c_524]) ).
tff(c_24741,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_24740]) ).
tff(c_24750,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24741,c_24728,c_210]) ).
tff(c_24751,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_24740]) ).
tff(c_24924,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_24866,c_24751]) ).
tff(c_24823,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24820,c_352]) ).
tff(c_24887,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_24823,c_24279]) ).
tff(c_24888,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_24887,c_166]) ).
tff(c_24926,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_24924,c_24924,c_24888]) ).
tff(c_24936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_24926]) ).
tff(c_24937,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_24727]) ).
tff(c_25491,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_25481,c_24937]) ).
tff(c_25428,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_25406,c_184]) ).
tff(c_25493,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_25491,c_25428]) ).
tff(c_25505,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_25493,c_25493,c_164]) ).
tff(c_25514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25409,c_25505]) ).
tff(c_25515,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_24279]) ).
tff(c_25519,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25515,c_232]) ).
tff(c_25530,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_25519,c_24937]) ).
tff(c_25536,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25530,c_250]) ).
tff(c_25407,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25406,c_330]) ).
tff(c_24954,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_24718,c_23227,c_22590]) ).
tff(c_24955,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_24954]) ).
tff(c_24956,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24955,c_330]) ).
tff(c_25016,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_24279]) ).
tff(c_25024,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25016,c_252]) ).
tff(c_25033,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_25024,c_24937]) ).
tff(c_25065,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_25033,c_24955,c_168]) ).
tff(c_25066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24956,c_25065]) ).
tff(c_25067,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_24279]) ).
tff(c_25236,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25067,c_232]) ).
tff(c_25069,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_24937]) ).
tff(c_25076,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25069,c_366]) ).
tff(c_23192,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_25074,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25069,c_250]) ).
tff(c_332,plain,
op(e2,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_24963,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24955,c_332]) ).
tff(c_24715,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_24713,c_242]) ).
tff(c_24,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_25204,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_25074,c_24963,c_24715,c_24]) ).
tff(c_25205,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_25204]) ).
tff(c_25166,plain,
op(e3,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_25067,c_174]) ).
tff(c_25206,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_25205,c_25166]) ).
tff(c_25215,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_23192,c_25206]) ).
tff(c_25217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_25215]) ).
tff(c_25218,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_25204]) ).
tff(c_25221,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_25218,c_25166]) ).
tff(c_25231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25076,c_25221]) ).
tff(c_25232,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_24937]) ).
tff(c_25261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25236,c_25232]) ).
tff(c_25262,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_24954]) ).
tff(c_25268,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25262,c_360]) ).
tff(c_25264,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25262,c_348]) ).
tff(c_24941,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23233,c_524]) ).
tff(c_24942,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_24941]) ).
tff(c_25295,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24942,c_24710]) ).
tff(c_25296,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_25264,c_402,c_25295]) ).
tff(c_25305,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25296,c_374]) ).
tff(c_22786,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_22669]) ).
tff(c_25390,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_25268,c_25305,c_22786]) ).
tff(c_25381,plain,
op(e0,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_23192,c_194]) ).
tff(c_25391,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_25390,c_25390,c_25381]) ).
tff(c_25401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_25391]) ).
tff(c_25402,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_24941]) ).
tff(c_25548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25536,c_25407,c_25402]) ).
tff(c_25549,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_25405]) ).
tff(c_25552,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25549,c_352]) ).
tff(c_25612,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_25552,c_24279]) ).
tff(c_25616,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25612,c_232]) ).
tff(c_25640,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_25616,c_24937]) ).
tff(c_25646,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25640,c_250]) ).
tff(c_25621,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25612,c_226]) ).
tff(c_25674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25646,c_25621,c_25402]) ).
tff(c_25675,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_26795,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_25675]) ).
tff(c_26821,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26795,c_25976]) ).
tff(c_26822,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_26821]) ).
tff(c_26826,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26822,c_232]) ).
tff(c_26848,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_26826,c_24279]) ).
tff(c_26855,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26848,c_246]) ).
tff(c_26830,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26822,c_230]) ).
tff(c_25978,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23233,c_524]) ).
tff(c_25979,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_25978]) ).
tff(c_26351,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25979,c_24710]) ).
tff(c_26352,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_26351]) ).
tff(c_26353,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_26352]) ).
tff(c_26359,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26353,c_364]) ).
tff(c_26379,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_26359,c_25675]) ).
tff(c_26380,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_26379]) ).
tff(c_26388,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26380,c_252]) ).
tff(c_26394,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_26388,c_25976]) ).
tff(c_26399,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26394,c_370]) ).
tff(c_26383,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26380,c_352]) ).
tff(c_26282,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_24279]) ).
tff(c_26016,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25979,c_24710]) ).
tff(c_26017,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_26016]) ).
tff(c_26018,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_26017]) ).
tff(c_25992,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_23227,c_22590]) ).
tff(c_25993,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_25992]) ).
tff(c_26080,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_26018,c_26018,c_25993,c_158]) ).
tff(c_26081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_26080]) ).
tff(c_26082,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_26017]) ).
tff(c_26275,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26082,c_344]) ).
tff(c_26296,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26282,c_26275]) ).
tff(c_26297,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_24279]) ).
tff(c_26300,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26297,c_232]) ).
tff(c_24281,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22790,c_400]) ).
tff(c_26179,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_25976]) ).
tff(c_26186,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26179,c_252]) ).
tff(c_26084,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_25675]) ).
tff(c_26162,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26084,c_25976]) ).
tff(c_26163,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_26162]) ).
tff(c_26109,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_24279]) ).
tff(c_26114,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26109,c_358]) ).
tff(c_378,plain,
op(e2,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_26086,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26084,c_378]) ).
tff(c_26135,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_26114,c_26086,c_22786]) ).
tff(c_26007,plain,
op(op(e0,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_23192,c_170]) ).
tff(c_26136,plain,
op(e3,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_26135,c_26007]) ).
tff(c_26145,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_23192,c_26136]) ).
tff(c_26147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_26145]) ).
tff(c_26148,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_24279]) ).
tff(c_26152,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26148,c_232]) ).
tff(c_26176,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26163,c_26152]) ).
tff(c_26177,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_25675]) ).
tff(c_26218,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_26186,c_26177]) ).
tff(c_26225,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26218,c_338]) ).
tff(c_26213,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26082,c_354]) ).
tff(c_26241,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_26225,c_26213,c_22786]) ).
tff(c_198,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_26236,plain,
op(e1,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_22790,c_198]) ).
tff(c_26242,plain,
op(e1,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_26241,c_26236]) ).
tff(c_26266,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_26242,c_26242,c_188]) ).
tff(c_26267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24281,c_26266]) ).
tff(c_26268,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_25976]) ).
tff(c_26339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26300,c_26268]) ).
tff(c_26340,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_25992]) ).
tff(c_26462,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_26383,c_26340]) ).
tff(c_26431,plain,
op(e3,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_26394,c_184]) ).
tff(c_26463,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_26462,c_26431]) ).
tff(c_26476,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_26463,c_26463,c_164]) ).
tff(c_26485,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26399,c_26476]) ).
tff(c_26486,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_26379]) ).
tff(c_26489,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26486,c_326]) ).
tff(c_26487,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_26379]) ).
tff(c_26522,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_26487,c_24279]) ).
tff(c_26488,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_26486,c_166]) ).
tff(c_26523,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_26522,c_26488]) ).
tff(c_26533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26489,c_26523]) ).
tff(c_26534,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_26352]) ).
tff(c_26540,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26534,c_348]) ).
tff(c_26542,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26534,c_344]) ).
tff(c_26549,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_26542,c_25675]) ).
tff(c_26550,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_26549]) ).
tff(c_26577,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26550,c_25976]) ).
tff(c_26578,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_26577]) ).
tff(c_26581,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26578,c_232]) ).
tff(c_26604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26542,c_26581,c_24279]) ).
tff(c_26605,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_26549]) ).
tff(c_26614,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26605,c_332]) ).
tff(c_26681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26540,c_26614,c_26340]) ).
tff(c_26682,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_25978]) ).
tff(c_26871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26855,c_26830,c_26682]) ).
tff(c_26872,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_25675]) ).
tff(c_26947,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_26918,c_26872]) ).
tff(c_26926,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_26925,c_166]) ).
tff(c_26960,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_26947,c_26926]) ).
tff(c_26961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26934,c_26960]) ).
tff(c_26962,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_25976]) ).
tff(c_26966,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26962,c_232]) ).
tff(c_26977,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_26966,c_24279]) ).
tff(c_26983,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26977,c_246]) ).
tff(c_26971,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26962,c_230]) ).
tff(c_27005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26983,c_26971,c_26682]) ).
tff(c_27006,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_27722,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_27045,c_27637,c_27006]) ).
tff(c_27723,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_27722]) ).
tff(c_27731,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27723,c_226]) ).
tff(c_27038,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22790,c_276]) ).
tff(c_27052,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27038,c_524]) ).
tff(c_27053,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_27052]) ).
tff(c_27391,plain,
op(e4,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_27053,c_206]) ).
tff(c_27041,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_27039,c_304]) ).
tff(c_27149,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27053,c_23190]) ).
tff(c_27150,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_27041,c_402,c_27149]) ).
tff(c_27151,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_27150]) ).
tff(c_27204,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_27151,c_27151,c_27039,c_156]) ).
tff(c_27205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_27204]) ).
tff(c_27206,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_27150]) ).
tff(c_27287,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27206,c_362]) ).
tff(c_27295,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_27045,c_27287,c_27006]) ).
tff(c_27296,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_27295]) ).
tff(c_27136,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_27042,c_27027,c_22590]) ).
tff(c_27137,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_27136]) ).
tff(c_27309,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27296,c_27137,c_330]) ).
tff(c_27310,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_27295]) ).
tff(c_27315,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27310,c_346]) ).
tff(c_27028,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22790,c_278]) ).
tff(c_27208,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27028,c_22666]) ).
tff(c_27209,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_27208]) ).
tff(c_27282,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27053,c_27209,c_206]) ).
tff(c_27283,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_27208]) ).
tff(c_27362,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27310,c_27283]) ).
tff(c_27363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27315,c_406,c_27362]) ).
tff(c_27364,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_27136]) ).
tff(c_27390,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27364,c_352]) ).
tff(c_27393,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27364,c_22666]) ).
tff(c_27394,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_27391,c_27390,c_412,c_27393]) ).
tff(c_27402,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27394,c_226]) ).
tff(c_27369,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27364,c_348]) ).
tff(c_27377,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27053,c_23190]) ).
tff(c_27378,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_27041,c_402,c_27369,c_27377]) ).
tff(c_27381,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27378,c_362]) ).
tff(c_27408,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27394,c_27006]) ).
tff(c_27409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27045,c_27402,c_406,c_27381,c_27408]) ).
tff(c_27410,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_27052]) ).
tff(c_27780,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_27637,c_27410]) ).
tff(c_27739,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_27723,c_166]) ).
tff(c_27781,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_27780,c_27739]) ).
tff(c_27839,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_27781,c_27781,c_176]) ).
tff(c_27840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27731,c_27839]) ).
tff(c_27841,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_27722]) ).
tff(c_27008,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_27024,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27008,c_445,c_288]) ).
tff(c_27025,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_27412,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27027,c_27025]) ).
tff(c_27413,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_27412]) ).
tff(c_27436,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27413,c_23190]) ).
tff(c_27437,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_27041,c_408,c_27436]) ).
tff(c_27438,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_27437]) ).
tff(c_27424,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_27042,c_27027,c_22590]) ).
tff(c_27425,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_27424]) ).
tff(c_27449,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27438,c_27425,c_328]) ).
tff(c_27450,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_27437]) ).
tff(c_27512,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_27450,c_27450,c_27039,c_156]) ).
tff(c_27513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_27512]) ).
tff(c_27514,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_27424]) ).
tff(c_27519,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27514,c_348]) ).
tff(c_27555,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27413,c_23190]) ).
tff(c_27556,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_27041,c_408,c_27555]) ).
tff(c_27557,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_27556]) ).
tff(c_27559,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27557,c_334]) ).
tff(c_27520,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27514,c_360]) ).
tff(c_27518,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27514,c_350]) ).
tff(c_27565,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_27045,c_27518,c_27006]) ).
tff(c_27566,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_27565]) ).
tff(c_27578,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27566,c_27557,c_322]) ).
tff(c_27579,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_27565]) ).
tff(c_27587,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27579,c_376]) ).
tff(c_27619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27559,c_27520,c_27587,c_22786]) ).
tff(c_27620,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_27556]) ).
tff(c_27622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27519,c_27620]) ).
tff(c_27623,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_27412]) ).
tff(c_27888,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27841,c_27623]) ).
tff(c_27889,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_27888]) ).
tff(c_27894,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27889,c_250]) ).
tff(c_27907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27894,c_27637,c_27410]) ).
tff(c_27908,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_27625]) ).
tff(c_27915,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27908,c_272]) ).
tff(c_27912,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27908,c_350]) ).
tff(c_27987,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_27045,c_27912,c_27006]) ).
tff(c_27988,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_27987]) ).
tff(c_27913,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27908,c_348]) ).
tff(c_27921,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_27041,c_27913,c_23190]) ).
tff(c_27922,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_27921]) ).
tff(c_28003,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27988,c_27922,c_322]) ).
tff(c_28005,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_27987]) ).
tff(c_28057,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_28005,c_27410]) ).
tff(c_28063,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28057,c_250]) ).
tff(c_28004,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_27987]) ).
tff(c_28094,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28004,c_27623]) ).
tff(c_28095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28063,c_410,c_28094]) ).
tff(c_28096,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_27921]) ).
tff(c_28100,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28096,c_362]) ).
tff(c_28145,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_27045,c_27912,c_28100,c_27006]) ).
tff(c_28149,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28145,c_230]) ).
tff(c_28201,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_28149,c_27623]) ).
tff(c_28176,plain,
op(op(e2,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_27908,c_186]) ).
tff(c_28202,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_28201,c_28176]) ).
tff(c_28263,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_28202,c_28202,c_176]) ).
tff(c_28264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27915,c_28263]) ).
tff(c_28265,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_32231,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_28265]) ).
tff(c_30892,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27027,c_27025]) ).
tff(c_30893,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_30892]) ).
tff(c_29204,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_23190]) ).
tff(c_29207,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_308]) ).
tff(c_29213,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_29207,c_27027,c_22590]) ).
tff(c_29214,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_29213]) ).
tff(c_29226,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29214,c_330]) ).
tff(c_29206,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_302]) ).
tff(c_29225,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_208]) ).
tff(c_29227,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_29225,c_27027,c_27025]) ).
tff(c_29228,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_29227]) ).
tff(c_29287,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29228,c_27006]) ).
tff(c_29288,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_29206,c_29226,c_410,c_29287]) ).
tff(c_29242,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29214,c_524]) ).
tff(c_29243,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_29226,c_410,c_29242]) ).
tff(c_29244,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_29243]) ).
tff(c_29274,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29244,c_29204,c_202]) ).
tff(c_29275,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_29243]) ).
tff(c_29326,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_29288,c_29275,c_166]) ).
tff(c_28832,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_28265]) ).
tff(c_28837,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28832,c_364]) ).
tff(c_28424,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27027,c_22590]) ).
tff(c_28425,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_28424]) ).
tff(c_28429,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_28425,c_310]) ).
tff(c_28487,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_28429,c_27006]) ).
tff(c_28488,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_28487]) ).
tff(c_28493,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28488,c_230]) ).
tff(c_28501,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28488,c_326]) ).
tff(c_28503,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28501,c_28265]) ).
tff(c_28504,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_28503]) ).
tff(c_28437,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27027,c_27025]) ).
tff(c_28438,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_28437]) ).
tff(c_28267,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27028,c_22666]) ).
tff(c_28268,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_28267]) ).
tff(c_28450,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28438,c_28268,c_212]) ).
tff(c_28451,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_28437]) ).
tff(c_28526,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28504,c_28451]) ).
tff(c_28527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_28493,c_28526]) ).
tff(c_28528,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_28503]) ).
tff(c_28536,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28528,c_252]) ).
tff(c_28542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28536,c_28493,c_28451]) ).
tff(c_28544,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_28487]) ).
tff(c_28454,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27038,c_524]) ).
tff(c_28455,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_28454]) ).
tff(c_28482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28455,c_28268,c_206]) ).
tff(c_28483,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_28454]) ).
tff(c_28741,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_28544,c_28483]) ).
tff(c_28748,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28741,c_246]) ).
tff(c_28627,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_28544,c_28483]) ).
tff(c_28631,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28627,c_326]) ).
tff(c_28579,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_28265]) ).
tff(c_28601,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28579,c_28451]) ).
tff(c_28602,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_28601]) ).
tff(c_28543,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_28487]) ).
tff(c_28649,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28602,c_28543]) ).
tff(c_28650,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_28649]) ).
tff(c_28629,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_28627,c_166]) ).
tff(c_28651,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_28650,c_28629]) ).
tff(c_28693,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_28651,c_28651,c_176]) ).
tff(c_28694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28631,c_28693]) ).
tff(c_28695,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_28265]) ).
tff(c_28763,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28741,c_28695]) ).
tff(c_28764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_28748,c_28763]) ).
tff(c_28765,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_28424]) ).
tff(c_28853,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_28765]) ).
tff(c_28859,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28853,c_360]) ).
tff(c_28833,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28832,c_378]) ).
tff(c_28930,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_28859,c_28833,c_22786]) ).
tff(c_28936,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28930,c_334]) ).
tff(c_28278,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28268,c_23190]) ).
tff(c_28279,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_28278]) ).
tff(c_28280,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_28279]) ).
tff(c_28421,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28268,c_28280,c_204]) ).
tff(c_28422,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_28279]) ).
tff(c_28966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28837,c_28936,c_28422]) ).
tff(c_28967,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_28765]) ).
tff(c_28969,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28967,c_328]) ).
tff(c_29080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28837,c_28969,c_28422]) ).
tff(c_29081,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_28265]) ).
tff(c_29117,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_29081]) ).
tff(c_29120,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29117,c_326]) ).
tff(c_28785,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27038,c_524]) ).
tff(c_28786,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_28785]) ).
tff(c_28813,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28786,c_28268,c_206]) ).
tff(c_28814,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_28785]) ).
tff(c_29158,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29117,c_28814]) ).
tff(c_29159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_29120,c_29158]) ).
tff(c_29160,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_29081]) ).
tff(c_29167,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29160,c_246]) ).
tff(c_29163,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29160,c_352]) ).
tff(c_29174,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_29163,c_28765]) ).
tff(c_29176,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29174,c_330]) ).
tff(c_29201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29167,c_29176,c_28814]) ).
tff(c_29202,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_28267]) ).
tff(c_29338,plain,
( ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29326,c_29288,c_29202]) ).
tff(c_29339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_406,c_29338]) ).
tff(c_29340,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_29227]) ).
tff(c_29345,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29340,c_250]) ).
tff(c_29354,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29214,c_524]) ).
tff(c_29355,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_29226,c_29345,c_410,c_29354]) ).
tff(c_29385,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29355,c_29204,c_202]) ).
tff(c_29386,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_29213]) ).
tff(c_29391,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29386,c_352]) ).
tff(c_29389,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29386,c_350]) ).
tff(c_29489,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_29206,c_29389,c_27006]) ).
tff(c_29490,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_29489]) ).
tff(c_29494,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29490,c_226]) ).
tff(c_29535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29391,c_29494,c_29202]) ).
tff(c_29537,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_29489]) ).
tff(c_29579,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_29391,c_29202]) ).
tff(c_29536,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_29489]) ).
tff(c_29540,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29536,c_366]) ).
tff(c_29556,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_29540,c_29391,c_28265]) ).
tff(c_29574,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_29556,c_166]) ).
tff(c_29580,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_29579,c_29574]) ).
tff(c_29591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29537,c_29580]) ).
tff(c_29592,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_23190]) ).
tff(c_31271,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30893,c_29592]) ).
tff(c_31272,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_31271]) ).
tff(c_31273,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_31272]) ).
tff(c_31279,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31273,c_348]) ).
tff(c_29595,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27027,c_22590]) ).
tff(c_29596,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_29595]) ).
tff(c_29603,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_29596,c_310]) ).
tff(c_30063,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_29603,c_27006]) ).
tff(c_30064,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_30063]) ).
tff(c_30066,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30064,c_322]) ).
tff(c_30098,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_30066,c_29592]) ).
tff(c_30099,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_30098]) ).
tff(c_30081,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_29596,c_158]) ).
tff(c_30100,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_30099,c_30099,c_30081]) ).
tff(c_30111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_30100]) ).
tff(c_30112,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_30098]) ).
tff(c_30121,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30112,c_344]) ).
tff(c_30070,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30064,c_226]) ).
tff(c_30147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30121,c_30070,c_29202]) ).
tff(c_30149,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_30063]) ).
tff(c_30347,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_29202]) ).
tff(c_30351,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30347,c_346]) ).
tff(c_30355,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30347,c_252]) ).
tff(c_29593,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_23190]) ).
tff(c_29609,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27027,c_27025]) ).
tff(c_29610,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_29609]) ).
tff(c_29743,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_29596,c_29610,c_158]) ).
tff(c_29744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29593,c_29743]) ).
tff(c_29745,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_29609]) ).
tff(c_30412,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_30355,c_29745]) ).
tff(c_30148,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_30063]) ).
tff(c_30427,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30412,c_30148]) ).
tff(c_30428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_30351,c_30427]) ).
tff(c_30430,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_29202]) ).
tff(c_30204,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_28265]) ).
tff(c_30212,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30204,c_366]) ).
tff(c_30230,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_29202]) ).
tff(c_30234,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30230,c_346]) ).
tff(c_30272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30212,c_30234,c_30148]) ).
tff(c_30273,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_29202]) ).
tff(c_30310,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30273,c_30148]) ).
tff(c_30311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30212,c_406,c_30310]) ).
tff(c_30312,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_28265]) ).
tff(c_30444,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_30430,c_30312]) ).
tff(c_30429,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_29202]) ).
tff(c_30431,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_30429,c_166]) ).
tff(c_30457,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_30444,c_30431]) ).
tff(c_30458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30149,c_30457]) ).
tff(c_30459,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_29595]) ).
tff(c_31324,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_31279,c_30459]) ).
tff(c_31282,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31273,c_342]) ).
tff(c_30906,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_27006]) ).
tff(c_30957,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30893,c_29592]) ).
tff(c_30958,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_30957]) ).
tff(c_30959,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_30958]) ).
tff(c_30965,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30959,c_348]) ).
tff(c_31006,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_30965,c_30459]) ).
tff(c_31007,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31006,c_330]) ).
tff(c_30461,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_27038,c_524]) ).
tff(c_30462,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_30461]) ).
tff(c_30655,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30462,c_29592]) ).
tff(c_30656,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_30655]) ).
tff(c_30657,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_30656]) ).
tff(c_30663,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30657,c_362]) ).
tff(c_30664,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30657,c_364]) ).
tff(c_30683,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_30664,c_28265]) ).
tff(c_30684,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_30683]) ).
tff(c_30686,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30684,c_352]) ).
tff(c_30687,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30684,c_346]) ).
tff(c_30507,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_27006]) ).
tff(c_30637,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_30507,c_30462,c_154]) ).
tff(c_30638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29593,c_30637]) ).
tff(c_30639,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_27006]) ).
tff(c_30697,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_30663,c_30687,c_30639]) ).
tff(c_30701,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30697,c_330]) ).
tff(c_30719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30686,c_30701,c_30459]) ).
tff(c_30720,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_30683]) ).
tff(c_30723,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30720,c_326]) ).
tff(c_30735,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_30663,c_30723,c_30639]) ).
tff(c_30722,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_30720,c_166]) ).
tff(c_30748,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_30735,c_30735,c_30722]) ).
tff(c_30749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_30748]) ).
tff(c_30750,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_30656]) ).
tff(c_30756,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30750,c_348]) ).
tff(c_30852,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_30756,c_30459]) ).
tff(c_30860,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30852,c_332]) ).
tff(c_30757,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30750,c_344]) ).
tff(c_30765,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_28265]) ).
tff(c_30772,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30765,c_366]) ).
tff(c_30759,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30750,c_342]) ).
tff(c_30778,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_30772,c_30759,c_30639]) ).
tff(c_30785,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30778,c_226]) ).
tff(c_30791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30757,c_30785,c_29202]) ).
tff(c_30792,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_28265]) ).
tff(c_30888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30860,c_30757,c_30792]) ).
tff(c_30889,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_30461]) ).
tff(c_31028,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_31007,c_30889]) ).
tff(c_30966,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30959,c_344]) ).
tff(c_31065,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_30966,c_29202]) ).
tff(c_31031,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_31028,c_166]) ).
tff(c_31066,plain,
op(e2,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_31065,c_31031]) ).
tff(c_31075,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_31028,c_31066]) ).
tff(c_31077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_31075]) ).
tff(c_31078,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_30958]) ).
tff(c_31115,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_30906,c_31078,c_30906,c_162]) ).
tff(c_31116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_31115]) ).
tff(c_31117,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_27006]) ).
tff(c_31292,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_31282,c_31117]) ).
tff(c_31293,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_31292]) ).
tff(c_31294,plain,
op(e1,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_31293,c_184]) ).
tff(c_31325,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_31324,c_31324,c_31294]) ).
tff(c_31335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_31325]) ).
tff(c_31336,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_31292]) ).
tff(c_31339,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31336,c_330]) ).
tff(c_31351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31279,c_31339,c_30459]) ).
tff(c_31352,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_31272]) ).
tff(c_31356,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31352,c_322]) ).
tff(c_31462,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_31356,c_30889]) ).
tff(c_31358,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31352,c_328]) ).
tff(c_31398,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_31358,c_30459]) ).
tff(c_31403,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31398,c_352]) ).
tff(c_31425,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_31403,c_29202]) ).
tff(c_31429,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_31425,c_166]) ).
tff(c_31463,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_31462,c_31462,c_31429]) ).
tff(c_31474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_31463]) ).
tff(c_31475,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_30892]) ).
tff(c_32262,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32231,c_31475]) ).
tff(c_32263,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_32262]) ).
tff(c_32269,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32263,c_370]) ).
tff(c_32285,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_30459]) ).
tff(c_32253,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_32231,c_178]) ).
tff(c_32286,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_32285,c_32253]) ).
tff(c_32296,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_32231,c_32286]) ).
tff(c_32298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_32296]) ).
tff(c_32299,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_30459]) ).
tff(c_32264,plain,
op(e3,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_32263,c_184]) ).
tff(c_32301,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_32299,c_32264]) ).
tff(c_32315,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_32301,c_32301,c_164]) ).
tff(c_32323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32269,c_32315]) ).
tff(c_32324,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_28265]) ).
tff(c_32342,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_32324]) ).
tff(c_32352,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32342,c_332]) ).
tff(c_32409,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_32352,c_30459]) ).
tff(c_32415,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32409,c_352]) ).
tff(c_32357,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_31475]) ).
tff(c_32366,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32357,c_252]) ).
tff(c_32377,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_32352,c_30459]) ).
tff(c_32359,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_32357,c_178]) ).
tff(c_32378,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_32377,c_32359]) ).
tff(c_32388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32366,c_32378]) ).
tff(c_32389,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_31475]) ).
tff(c_32394,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32389,c_232]) ).
tff(c_32432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32415,c_32394,c_29202]) ).
tff(c_32433,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_32324]) ).
tff(c_32442,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32433,c_252]) ).
tff(c_32448,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_32442,c_31475]) ).
tff(c_32455,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32448,c_370]) ).
tff(c_32437,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32433,c_352]) ).
tff(c_32463,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_32437,c_30459]) ).
tff(c_32449,plain,
op(e3,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_32448,c_184]) ).
tff(c_32476,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_32463,c_32449]) ).
tff(c_32478,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_32476,c_32476,c_164]) ).
tff(c_32486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32455,c_32478]) ).
tff(c_32487,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_22789]) ).
tff(c_45540,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_44663,c_32487]) ).
tff(c_45541,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_45540]) ).
tff(c_45548,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45541,c_240]) ).
tff(c_40432,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_40443,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40432,c_445,c_288]) ).
tff(c_40444,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_43630,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_40444]) ).
tff(c_43634,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_43630,c_220]) ).
tff(c_43904,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_43634,c_32487]) ).
tff(c_43905,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_43904]) ).
tff(c_43909,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43905,c_236]) ).
tff(c_43853,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_43880,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43853,c_43630,c_210]) ).
tff(c_43881,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_44243,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43909,c_43881]) ).
tff(c_44244,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_44243]) ).
tff(c_44251,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44244,c_266]) ).
tff(c_43911,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43905,c_238]) ).
tff(c_43779,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_43816,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43779,c_43630,c_212]) ).
tff(c_43817,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_44266,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_44251,c_43911,c_43817]) ).
tff(c_44270,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44266,c_352]) ).
tff(c_43640,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_22590]) ).
tff(c_43646,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_43640,c_308]) ).
tff(c_43775,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_43630,c_43640,c_158]) ).
tff(c_43776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43646,c_43775]) ).
tff(c_43777,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_22590]) ).
tff(c_44159,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_43777]) ).
tff(c_44165,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44159,c_272]) ).
tff(c_44163,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44159,c_270]) ).
tff(c_44186,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_44163,c_43909,c_43881]) ).
tff(c_44191,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44186,c_246]) ).
tff(c_44203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44165,c_44191,c_43911,c_43817]) ).
tff(c_44204,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_43777]) ).
tff(c_44284,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44244,c_44204]) ).
tff(c_44285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_44270,c_44284]) ).
tff(c_44286,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_44243]) ).
tff(c_44293,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44286,c_246]) ).
tff(c_44094,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43909,c_43881]) ).
tff(c_44095,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_44094]) ).
tff(c_43083,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_32487]) ).
tff(c_43203,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_445,c_43083,c_160]) ).
tff(c_43204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_43203]) ).
tff(c_43205,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_32487]) ).
tff(c_43484,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_43205]) ).
tff(c_43537,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43484,c_258]) ).
tff(c_41452,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_32489,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_36425,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_32489,c_160]) ).
tff(c_36498,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_36425,c_36425,c_200]) ).
tff(c_36499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_36498]) ).
tff(c_36500,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_41461,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41452,c_36500]) ).
tff(c_41462,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_41461]) ).
tff(c_41463,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_41462]) ).
tff(c_41509,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41463,c_41452,c_204]) ).
tff(c_41511,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_41462]) ).
tff(c_40452,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_41629,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_40452,c_41452,c_156]) ).
tff(c_41630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41511,c_41629]) ).
tff(c_41631,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_43227,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_41631]) ).
tff(c_43234,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43227,c_266]) ).
tff(c_40457,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_40452,c_306]) ).
tff(c_36504,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_40136,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_40137,plain,
( ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_40136]) ).
tff(c_40138,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_40137]) ).
tff(c_40255,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_445,c_40138,c_160]) ).
tff(c_40256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_40255]) ).
tff(c_40257,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_40137]) ).
tff(c_40321,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40257,c_256]) ).
tff(c_40324,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40257,c_260]) ).
tff(c_36515,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_36533,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36515,c_445,c_288]) ).
tff(c_36534,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_37701,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_36534]) ).
tff(c_37705,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_37701,c_220]) ).
tff(c_38453,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_38454,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_37705,c_416,c_38453]) ).
tff(c_38460,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38454,c_256]) ).
tff(c_38458,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38454,c_258]) ).
tff(c_38279,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_38331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37701,c_38279,c_212]) ).
tff(c_38332,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_38477,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38458,c_38332]) ).
tff(c_38478,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_38477]) ).
tff(c_38479,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38478,c_272]) ).
tff(c_38334,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_22590]) ).
tff(c_38341,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_38334,c_308]) ).
tff(c_38395,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_38334,c_37701,c_158]) ).
tff(c_38396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38341,c_38395]) ).
tff(c_38397,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_22590]) ).
tff(c_38496,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38478,c_38397]) ).
tff(c_38497,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_38479,c_412,c_38496]) ).
tff(c_38501,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38497,c_330]) ).
tff(c_36543,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_36545,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_36543,c_216]) ).
tff(c_37470,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_37471,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_36545,c_416,c_37470]) ).
tff(c_37475,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37471,c_258]) ).
tff(c_36984,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_37058,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36543,c_36984,c_206]) ).
tff(c_37059,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_37565,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37475,c_37059]) ).
tff(c_37566,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_37565]) ).
tff(c_37567,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37566,c_272]) ).
tff(c_37140,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_37141,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_36545,c_416,c_37140]) ).
tff(c_37145,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37141,c_258]) ).
tff(c_37164,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37145,c_37059]) ).
tff(c_37165,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_37164]) ).
tff(c_37168,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37165,c_352]) ).
tff(c_37167,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37165,c_272]) ).
tff(c_36621,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_36622,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_36621,c_304]) ).
tff(c_36685,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36543,c_36500]) ).
tff(c_36686,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_36622,c_402,c_36685]) ).
tff(c_36687,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_36686]) ).
tff(c_36730,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_36687,c_36687,c_36621,c_156]) ).
tff(c_36731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_36730]) ).
tff(c_36732,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_36686]) ).
tff(c_36737,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36732,c_368]) ).
tff(c_36880,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_36881,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_36545,c_416,c_36880]) ).
tff(c_36886,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36881,c_260]) ).
tff(c_36884,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36881,c_258]) ).
tff(c_36633,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_36680,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36633,c_36543,c_206]) ).
tff(c_36681,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_36908,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_36884,c_36681]) ).
tff(c_36909,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_36908]) ).
tff(c_36764,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_36765,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_36545,c_416,c_36764]) ).
tff(c_36767,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36765,c_258]) ).
tff(c_36624,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_36621,c_312]) ).
tff(c_36744,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_36624,c_22590]) ).
tff(c_36745,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_36744]) ).
tff(c_340,plain,
op(e1,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_36750,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36745,c_340]) ).
tff(c_36739,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36732,c_374]) ).
tff(c_36844,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_36750,c_36739,c_22786]) ).
tff(c_36800,plain,
op(op(e0,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_36765,c_180]) ).
tff(c_36845,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_36844,c_36800]) ).
tff(c_36855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36767,c_36845]) ).
tff(c_36856,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_36744]) ).
tff(c_36964,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36909,c_36856]) ).
tff(c_36965,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36737,c_412,c_36964]) ).
tff(c_36966,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_36908]) ).
tff(c_36974,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36966,c_232]) ).
tff(c_36550,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_36534]) ).
tff(c_36618,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36543,c_36550,c_210]) ).
tff(c_36619,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_36534]) ).
tff(c_36980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36737,c_36886,c_36974,c_36619]) ).
tff(c_36981,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_37210,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37145,c_36981]) ).
tff(c_37211,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_37210]) ).
tff(c_37178,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_37165,c_186]) ).
tff(c_37213,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_37211,c_37178]) ).
tff(c_37222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37167,c_37213]) ).
tff(c_37223,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_37210]) ).
tff(c_37232,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37223,c_338]) ).
tff(c_37246,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_37232,c_22786]) ).
tff(c_37247,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_37246]) ).
tff(c_37142,plain,
op(op(e0,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_37141,c_180]) ).
tff(c_37250,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_37247,c_37142]) ).
tff(c_37259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37145,c_37250]) ).
tff(c_37260,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_37246]) ).
tff(c_300,plain,
op(e0,e1) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_37265,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37260,c_300]) ).
tff(c_37146,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37141,c_260]) ).
tff(c_37187,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_37167,c_37146,c_36619]) ).
tff(c_37189,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37187,c_370]) ).
tff(c_37099,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_22590]) ).
tff(c_37101,plain,
op(e1,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_37099,c_268]) ).
tff(c_38,plain,
( ( op(e1,e1) = e4 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_37364,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37167,c_37189,c_37101,c_38]) ).
tff(c_37365,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_37364]) ).
tff(c_37366,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_37365,c_37365,c_188]) ).
tff(c_37375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37265,c_37366]) ).
tff(c_37376,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_37364]) ).
tff(c_37381,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_37376,c_37376,c_188]) ).
tff(c_37390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37168,c_37381]) ).
tff(c_37391,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_37164]) ).
tff(c_37400,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37391,c_226]) ).
tff(c_37399,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37391,c_232]) ).
tff(c_37405,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_37146,c_37399,c_36619]) ).
tff(c_37412,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37405,c_372]) ).
tff(c_37431,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_37412,c_37145,c_36981]) ).
tff(c_37459,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_37431,c_37391,c_166]) ).
tff(c_37460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37400,c_37459]) ).
tff(c_37461,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_22590]) ).
tff(c_37591,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37566,c_37461]) ).
tff(c_37592,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_37567,c_412,c_37591]) ).
tff(c_37599,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37592,c_340]) ).
tff(c_37600,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37592,c_332]) ).
tff(c_37605,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_37475,c_37600,c_36981]) ).
tff(c_37610,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37605,c_378]) ).
tff(c_37618,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_37599,c_37610,c_22786]) ).
tff(c_37472,plain,
op(op(e0,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_37471,c_180]) ).
tff(c_37620,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_37618,c_37472]) ).
tff(c_37629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37475,c_37620]) ).
tff(c_37630,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_37565]) ).
tff(c_37476,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37471,c_260]) ).
tff(c_37493,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37476,c_36619]) ).
tff(c_37494,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_37493]) ).
tff(c_37495,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37494,c_272]) ).
tff(c_37508,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_37495,c_37475,c_37059]) ).
tff(c_37516,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37508,c_226]) ).
tff(c_37501,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37494,c_372]) ).
tff(c_37530,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_37501,c_37475,c_36981]) ).
tff(c_37561,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_37530,c_37508,c_166]) ).
tff(c_37562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37516,c_37561]) ).
tff(c_37563,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_37493]) ).
tff(c_37636,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37563,c_232]) ).
tff(c_37698,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37630,c_37636]) ).
tff(c_37699,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_38520,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38497,c_37699]) ).
tff(c_38521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_38460,c_38501,c_38520]) ).
tff(c_38522,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_38477]) ).
tff(c_38532,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38522,c_226]) ).
tff(c_38599,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_38460,c_38532,c_37699]) ).
tff(c_38537,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_38397]) ).
tff(c_38540,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38537,c_270]) ).
tff(c_38563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38540,c_38460,c_38532,c_37699]) ).
tff(c_38564,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_38397]) ).
tff(c_38664,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38599,c_38564]) ).
tff(c_38665,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_38664]) ).
tff(c_38140,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_38141,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_37705,c_416,c_38140]) ).
tff(c_38146,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38141,c_256]) ).
tff(c_37820,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_37821,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_37705,c_416,c_37820]) ).
tff(c_37826,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37821,c_256]) ).
tff(c_37711,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_37712,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_37711,c_304]) ).
tff(c_37775,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37701,c_36500]) ).
tff(c_37776,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_37712,c_408,c_37775]) ).
tff(c_37777,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_37776]) ).
tff(c_37807,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37777,c_322]) ).
tff(c_37891,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_37826,c_37807,c_37699]) ).
tff(c_37895,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37891,c_270]) ).
tff(c_37714,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_37711,c_312]) ).
tff(c_37786,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_37714,c_22590]) ).
tff(c_37787,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_37786]) ).
tff(c_37800,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37787,c_37777,c_328]) ).
tff(c_37801,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_37786]) ).
tff(c_37923,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_37895,c_37801]) ).
tff(c_37928,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37923,c_348]) ).
tff(c_22667,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_37779,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37777,c_334]) ).
tff(c_37931,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37923,c_360]) ).
tff(c_37958,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_37779,c_37931,c_22786]) ).
tff(c_292,plain,
op(e0,e2) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_37965,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37958,c_292]) ).
tff(c_37824,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37821,c_258]) ).
tff(c_37724,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_37771,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37701,c_37724,c_212]) ).
tff(c_37772,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_37847,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37824,c_37772]) ).
tff(c_37848,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_37847]) ).
tff(c_37855,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37848,c_266]) ).
tff(c_37866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37855,c_37826,c_37807,c_37699]) ).
tff(c_37867,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_37847]) ).
tff(c_37873,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37867,c_356]) ).
tff(c_46,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_38037,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_22667,c_37965,c_37931,c_37873,c_46]) ).
tff(c_37918,plain,
op(op(e0,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_37821,c_180]) ).
tff(c_38040,plain,
op(e4,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_38037,c_37918]) ).
tff(c_38049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37928,c_38040]) ).
tff(c_38050,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_37776]) ).
tff(c_38126,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38050,c_344]) ).
tff(c_38172,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38126,c_37772]) ).
tff(c_38173,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_38172]) ).
tff(c_38174,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38173,c_272]) ).
tff(c_38079,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_38080,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_37705,c_416,c_38079]) ).
tff(c_38085,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38080,c_256]) ).
tff(c_38052,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_37714,c_22590]) ).
tff(c_38053,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_38052]) ).
tff(c_38075,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38053,c_330]) ).
tff(c_38120,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38053,c_37699]) ).
tff(c_38121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_38085,c_38075,c_38120]) ).
tff(c_38122,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_38052]) ).
tff(c_38226,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38173,c_38122]) ).
tff(c_38227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38174,c_412,c_38226]) ).
tff(c_38228,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_38172]) ).
tff(c_38237,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38228,c_226]) ).
tff(c_38247,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_38146,c_38237,c_37699]) ).
tff(c_38250,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38247,c_270]) ).
tff(c_38133,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38050,c_348]) ).
tff(c_38275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38250,c_38133,c_38122]) ).
tff(c_38276,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_38630,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38458,c_38276]) ).
tff(c_38631,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_38630]) ).
tff(c_38633,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_38631,c_186]) ).
tff(c_38666,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_38665,c_38665,c_38633]) ).
tff(c_38677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_38666]) ).
tff(c_38678,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_38630]) ).
tff(c_38524,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_38522,c_166]) ).
tff(c_38681,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_38678,c_38524]) ).
tff(c_38690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38532,c_38681]) ).
tff(c_38691,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_36534]) ).
tff(c_40331,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_40324,c_38691]) ).
tff(c_40332,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_40331]) ).
tff(c_40334,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40332,c_272]) ).
tff(c_40323,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40257,c_258]) ).
tff(c_40335,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40332,c_270]) ).
tff(c_40359,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_40335,c_40321,c_37699]) ).
tff(c_40366,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40359,c_226]) ).
tff(c_39726,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_39728,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_39726,c_218]) ).
tff(c_39801,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_39802,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_39728,c_416,c_39801]) ).
tff(c_39808,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39802,c_260]) ).
tff(c_39805,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39802,c_256]) ).
tff(c_39824,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39805,c_37699]) ).
tff(c_39825,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_39824]) ).
tff(c_39830,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39825,c_270]) ).
tff(c_39847,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_39830,c_39808,c_38691]) ).
tff(c_39826,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_39825,c_184]) ).
tff(c_39848,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_39847,c_39847,c_39826]) ).
tff(c_39858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_39848]) ).
tff(c_39859,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_39824]) ).
tff(c_39866,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39859,c_230]) ).
tff(c_39873,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_39808,c_39866,c_38691]) ).
tff(c_39880,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39873,c_372]) ).
tff(c_39807,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39802,c_258]) ).
tff(c_39861,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39859,c_326]) ).
tff(c_39275,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_39276,plain,
( ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_39275]) ).
tff(c_39277,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_39276]) ).
tff(c_39404,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_445,c_39277,c_160]) ).
tff(c_39405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_39404]) ).
tff(c_39406,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_39276]) ).
tff(c_39414,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39406,c_260]) ).
tff(c_39571,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39414,c_38691]) ).
tff(c_39572,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_39571]) ).
tff(c_39578,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39572,c_368]) ).
tff(c_39094,plain,
( ( op(e2,e0) = e2 )
| ( e3 = e0 )
| ( op(e4,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36504,c_32487]) ).
tff(c_39095,plain,
( ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_39094]) ).
tff(c_39096,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_39095]) ).
tff(c_39113,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_39096,c_445,c_160]) ).
tff(c_39114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_39113]) ).
tff(c_39115,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_39095]) ).
tff(c_39120,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39115,c_256]) ).
tff(c_38693,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_38694,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_38693,c_304]) ).
tff(c_39056,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_38694,c_36500]) ).
tff(c_39057,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_39056]) ).
tff(c_39066,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39057,c_322]) ).
tff(c_39228,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_39120,c_39066,c_37699]) ).
tff(c_39123,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39115,c_260]) ).
tff(c_39180,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39123,c_38691]) ).
tff(c_39181,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_39180]) ).
tff(c_39184,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39181,c_270]) ).
tff(c_39203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39184,c_39120,c_39066,c_37699]) ).
tff(c_39204,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_39180]) ).
tff(c_39206,plain,
op(e3,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_39204,c_184]) ).
tff(c_39229,plain,
op(e3,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_39228,c_39206]) ).
tff(c_39242,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_39229,c_39204]) ).
tff(c_39244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_39242]) ).
tff(c_39245,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_39056]) ).
tff(c_39638,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_39578,c_39245]) ).
tff(c_39258,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_38693,c_156]) ).
tff(c_39640,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_39638,c_39638,c_39258]) ).
tff(c_39651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_39640]) ).
tff(c_39652,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_39571]) ).
tff(c_39661,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39652,c_230]) ).
tff(c_39411,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39406,c_256]) ).
tff(c_39421,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_37699]) ).
tff(c_39426,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39421,c_270]) ).
tff(c_39436,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_39426,c_38691]) ).
tff(c_39437,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_39436]) ).
tff(c_39450,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39437,c_39414]) ).
tff(c_39451,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_39436]) ).
tff(c_39502,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39451,c_232]) ).
tff(c_39428,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39421,c_266]) ).
tff(c_38705,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_38812,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_38693,c_38705,c_156]) ).
tff(c_38813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38694,c_38812]) ).
tff(c_38814,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_39453,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_39428,c_38814]) ).
tff(c_39454,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_39453]) ).
tff(c_39413,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39406,c_258]) ).
tff(c_39467,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39454,c_39413]) ).
tff(c_39468,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_39453]) ).
tff(c_39510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39502,c_39468]) ).
tff(c_39511,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_37699]) ).
tff(c_39722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39661,c_39411,c_39511]) ).
tff(c_39723,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_39903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39880,c_39807,c_39861,c_39723]) ).
tff(c_39904,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_40382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40334,c_40323,c_40366,c_39904]) ).
tff(c_40383,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_40331]) ).
tff(c_40391,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40383,c_230]) ).
tff(c_40397,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_40321,c_40391,c_37699]) ).
tff(c_40402,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40397,c_266]) ).
tff(c_40389,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40383,c_232]) ).
tff(c_40429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40402,c_40323,c_40389,c_39904]) ).
tff(c_40430,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_42895,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40457,c_40430]) ).
tff(c_42896,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_42895]) ).
tff(c_42897,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42896,c_236]) ).
tff(c_42940,plain,
( ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_42897,c_32487]) ).
tff(c_42941,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_42940]) ).
tff(c_42985,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_42941,c_445,c_160]) ).
tff(c_42986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_42985]) ).
tff(c_42987,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_42940]) ).
tff(c_42993,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42987,c_260]) ).
tff(c_42899,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42896,c_230]) ).
tff(c_40463,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_40444]) ).
tff(c_40467,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_40463,c_220]) ).
tff(c_40930,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40457,c_40430]) ).
tff(c_40931,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_40930]) ).
tff(c_40932,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40931,c_236]) ).
tff(c_40966,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_40467,c_40932,c_32487]) ).
tff(c_40971,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40966,c_258]) ).
tff(c_40935,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40931,c_226]) ).
tff(c_40871,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_40927,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40463,c_40871,c_212]) ).
tff(c_40928,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_40985,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_40971,c_40935,c_40928]) ).
tff(c_40993,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40985,c_272]) ).
tff(c_40453,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_40452,c_312]) ).
tff(c_40473,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40453,c_22590]) ).
tff(c_40474,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_40473]) ).
tff(c_40571,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40457,c_40430]) ).
tff(c_40572,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_40571]) ).
tff(c_40616,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40474,c_40572,c_330]) ).
tff(c_40617,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_40571]) ).
tff(c_40721,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_40617]) ).
tff(c_40669,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_40474,c_184]) ).
tff(c_40723,plain,
op(e1,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_40721,c_40669]) ).
tff(c_40735,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_40723,c_40474]) ).
tff(c_40737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_40735]) ).
tff(c_40738,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_40617]) ).
tff(c_40744,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40738,c_346]) ).
tff(c_40618,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_40571]) ).
tff(c_40485,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40474,c_524]) ).
tff(c_40486,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_40485]) ).
tff(c_40487,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_40486]) ).
tff(c_40568,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40463,c_40487,c_210]) ).
tff(c_40569,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_40486]) ).
tff(c_40771,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_40618,c_40569]) ).
tff(c_40741,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_40738,c_174]) ).
tff(c_40784,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_40771,c_40741]) ).
tff(c_40785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40744,c_40784]) ).
tff(c_40786,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_40473]) ).
tff(c_41049,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40985,c_40786]) ).
tff(c_41050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40993,c_412,c_41049]) ).
tff(c_41052,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_40930]) ).
tff(c_40788,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_40868,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40463,c_40788,c_210]) ).
tff(c_40869,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_41252,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_41052,c_40869]) ).
tff(c_41253,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_41252]) ).
tff(c_41259,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41253,c_270]) ).
tff(c_41311,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_41259,c_40786]) ).
tff(c_41313,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41311,c_348]) ).
tff(c_41054,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40463,c_36500]) ).
tff(c_41055,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_41054]) ).
tff(c_41056,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_41055]) ).
tff(c_41065,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41056,c_40452,c_304]) ).
tff(c_41066,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_41055]) ).
tff(c_41349,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_41313,c_41066]) ).
tff(c_41316,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41311,c_360]) ).
tff(c_41051,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_40930]) ).
tff(c_41298,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_41051]) ).
tff(c_41306,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41298,c_376]) ).
tff(c_41324,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_41316,c_41306,c_22786]) ).
tff(c_41330,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41324,c_334]) ).
tff(c_41362,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41349,c_41330]) ).
tff(c_41363,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_41051]) ).
tff(c_41260,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41253,c_266]) ).
tff(c_41281,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_41260,c_40928]) ).
tff(c_41282,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_41281]) ).
tff(c_41081,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40467,c_32487]) ).
tff(c_41082,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_41081]) ).
tff(c_41087,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41082,c_238]) ).
tff(c_41100,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_41087,c_40928]) ).
tff(c_41101,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_41100]) ).
tff(c_41109,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41101,c_272]) ).
tff(c_41173,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41101,c_40786]) ).
tff(c_41174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41109,c_412,c_41173]) ).
tff(c_41175,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_41100]) ).
tff(c_41184,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41175,c_246]) ).
tff(c_41189,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_41184,c_41052,c_40869]) ).
tff(c_41195,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41189,c_270]) ).
tff(c_41177,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41175,c_346]) ).
tff(c_41216,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_41177,c_41051]) ).
tff(c_41248,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_41216,c_41189,c_184]) ).
tff(c_41249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41195,c_41248]) ).
tff(c_41250,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_41081]) ).
tff(c_41273,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41250,c_258]) ).
tff(c_41295,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41282,c_41273]) ).
tff(c_41296,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_41281]) ).
tff(c_41404,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_41363,c_41296]) ).
tff(c_41406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_41404]) ).
tff(c_41407,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_41252]) ).
tff(c_41414,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41250,c_256]) ).
tff(c_41449,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41407,c_41414]) ).
tff(c_41450,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_40444]) ).
tff(c_43030,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_42993,c_42899,c_41450]) ).
tff(c_43035,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43030,c_272]) ).
tff(c_42991,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42987,c_258]) ).
tff(c_42900,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42896,c_226]) ).
tff(c_43053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43035,c_42991,c_42900,c_41631]) ).
tff(c_43055,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_42895]) ).
tff(c_42453,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_42455,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_42453,c_216]) ).
tff(c_42611,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_42455,c_32487]) ).
tff(c_42612,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_42611]) ).
tff(c_42617,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42612,c_238]) ).
tff(c_42631,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_42617,c_41631]) ).
tff(c_42632,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_42631]) ).
tff(c_42641,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42632,c_272]) ).
tff(c_42618,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42612,c_240]) ).
tff(c_42650,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_42641,c_42618,c_41450]) ).
tff(c_42633,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_42632,c_178]) ).
tff(c_42651,plain,
op(e1,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_42650,c_42633]) ).
tff(c_42660,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_42632,c_42651]) ).
tff(c_42662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_42660]) ).
tff(c_42663,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_42631]) ).
tff(c_42667,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42663,c_252]) ).
tff(c_42677,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_42667,c_42618,c_41450]) ).
tff(c_42678,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42677,c_370]) ).
tff(c_42665,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42663,c_346]) ).
tff(c_42460,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40457,c_40430]) ).
tff(c_42461,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_42460]) ).
tff(c_42462,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42461,c_236]) ).
tff(c_42505,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_42455,c_42462,c_32487]) ).
tff(c_42510,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42505,c_258]) ).
tff(c_42465,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42461,c_226]) ).
tff(c_42528,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_42510,c_42465,c_41631]) ).
tff(c_42536,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42528,c_272]) ).
tff(c_42511,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42505,c_260]) ).
tff(c_42464,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42461,c_230]) ).
tff(c_42549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42536,c_42511,c_42464,c_41450]) ).
tff(c_42550,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_42460]) ).
tff(c_42741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42678,c_42665,c_42550]) ).
tff(c_42742,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_42611]) ).
tff(c_42751,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42742,c_260]) ).
tff(c_42750,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42742,c_258]) ).
tff(c_42759,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_42750,c_41631]) ).
tff(c_42760,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_42759]) ).
tff(c_42769,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42760,c_272]) ).
tff(c_41633,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40453,c_22590]) ).
tff(c_41634,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_41633]) ).
tff(c_41889,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41634,c_328]) ).
tff(c_41872,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_36500]) ).
tff(c_41882,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41872,c_40452,c_304]) ).
tff(c_41883,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_36500]) ).
tff(c_42329,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_41889,c_41883]) ).
tff(c_42330,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_42329]) ).
tff(c_42335,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42330,c_362]) ).
tff(c_41842,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40457,c_40430]) ).
tff(c_41843,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_41842]) ).
tff(c_41869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41634,c_41843,c_330]) ).
tff(c_41870,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_41842]) ).
tff(c_42413,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_42335,c_41870]) ).
tff(c_42416,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42413,c_346]) ).
tff(c_42063,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_41631]) ).
tff(c_42071,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42063,c_272]) ).
tff(c_42076,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_42071,c_41450]) ).
tff(c_42077,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_42076]) ).
tff(c_42090,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_42063,c_42077,c_42063,c_178]) ).
tff(c_42091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_42090]) ).
tff(c_42092,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_42076]) ).
tff(c_42200,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42092,c_41870]) ).
tff(c_42201,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_42200]) ).
tff(c_41639,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41634,c_340]) ).
tff(c_42135,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42092,c_41870]) ).
tff(c_42136,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_42135]) ).
tff(c_42139,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42136,c_356]) ).
tff(c_42094,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_41889,c_41883]) ).
tff(c_42095,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_42094]) ).
tff(c_42104,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42095,c_374]) ).
tff(c_42158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41639,c_42139,c_42104,c_22786]) ).
tff(c_42159,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_42094]) ).
tff(c_42193,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42159,c_342]) ).
tff(c_42214,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42201,c_42193]) ).
tff(c_42215,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_41631]) ).
tff(c_42435,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42413,c_42215]) ).
tff(c_42436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_42416,c_42435]) ).
tff(c_42437,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_42329]) ).
tff(c_42324,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_40452,c_156]) ).
tff(c_42439,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_42437,c_42437,c_42324]) ).
tff(c_42450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_42439]) ).
tff(c_42451,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_41633]) ).
tff(c_42804,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42760,c_42451]) ).
tff(c_42805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42769,c_412,c_42804]) ).
tff(c_42806,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_42759]) ).
tff(c_42814,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42806,c_232]) ).
tff(c_42824,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_42751,c_42814,c_41450]) ).
tff(c_42825,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42824,c_370]) ).
tff(c_42891,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42806,c_42550]) ).
tff(c_42892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42825,c_406,c_42891]) ).
tff(c_42893,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_43274,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_43234,c_43055,c_42893]) ).
tff(c_43277,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43274,c_256]) ).
tff(c_43236,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43227,c_272]) ).
tff(c_43245,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_43236,c_41450]) ).
tff(c_43246,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_43245]) ).
tff(c_43228,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_43227,c_178]) ).
tff(c_43247,plain,
op(e1,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_43246,c_43228]) ).
tff(c_43256,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_43227,c_43247]) ).
tff(c_43258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_43256]) ).
tff(c_43259,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_43245]) ).
tff(c_43266,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43259,c_240]) ).
tff(c_43305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43277,c_43266,c_43205]) ).
tff(c_43306,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_41631]) ).
tff(c_43485,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_43306]) ).
tff(c_43509,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43485,c_232]) ).
tff(c_43492,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43484,c_260]) ).
tff(c_43344,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_41450]) ).
tff(c_43347,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43344,c_270]) ).
tff(c_43366,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_43347,c_43055,c_42893]) ).
tff(c_43370,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43366,c_256]) ).
tff(c_43392,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_43370,c_43205]) ).
tff(c_43399,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43392,c_238]) ).
tff(c_43373,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43366,c_246]) ).
tff(c_43420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43399,c_43373,c_43306]) ).
tff(c_43421,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_41450]) ).
tff(c_43530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43509,c_43492,c_43421]) ).
tff(c_43531,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_43306]) ).
tff(c_43563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43537,c_43531]) ).
tff(c_43564,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_43205]) ).
tff(c_43573,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43564,c_240]) ).
tff(c_43581,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_43306]) ).
tff(c_43572,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43564,c_238]) ).
tff(c_43611,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43581,c_43572]) ).
tff(c_43612,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_43306]) ).
tff(c_43616,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43612,c_252]) ).
tff(c_43627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43573,c_43616,c_43421]) ).
tff(c_43628,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_43923,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_43628]) ).
tff(c_43931,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43923,c_372]) ).
tff(c_44062,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_43931,c_43777]) ).
tff(c_44063,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_44062]) ).
tff(c_43940,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43911,c_43817]) ).
tff(c_43941,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_43940]) ).
tff(c_44046,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_43941,c_43923,c_186]) ).
tff(c_44047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43931,c_44046]) ).
tff(c_44048,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_43940]) ).
tff(c_44054,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44048,c_352]) ).
tff(c_44091,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44063,c_44054]) ).
tff(c_44092,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_44062]) ).
tff(c_44108,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_44095,c_44092]) ).
tff(c_44109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_44108]) ).
tff(c_44110,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_44094]) ).
tff(c_44056,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44048,c_246]) ).
tff(c_44147,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44110,c_44056]) ).
tff(c_44148,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_43628]) ).
tff(c_44363,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44286,c_44148]) ).
tff(c_44364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_44293,c_44363]) ).
tff(c_44365,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_43904]) ).
tff(c_44372,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44365,c_258]) ).
tff(c_44380,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_44372,c_43628]) ).
tff(c_44381,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_44380]) ).
tff(c_44389,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44381,c_372]) ).
tff(c_44371,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44365,c_256]) ).
tff(c_44398,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_44372,c_43817]) ).
tff(c_44399,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_44398]) ).
tff(c_44405,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44399,c_266]) ).
tff(c_44426,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_44405,c_44371,c_43881]) ).
tff(c_44430,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44426,c_330]) ).
tff(c_44444,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_44399,c_44381,c_178]) ).
tff(c_44456,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44444,c_44399,c_43777]) ).
tff(c_44457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_412,c_44430,c_44456]) ).
tff(c_44458,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_44398]) ).
tff(c_44467,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44458,c_226]) ).
tff(c_44477,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_44371,c_44467,c_43881]) ).
tff(c_44513,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44477,c_43777]) ).
tff(c_44514,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_44389,c_410,c_44513]) ).
tff(c_44537,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_44514,c_44514,c_44381,c_186]) ).
tff(c_44538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_44537]) ).
tff(c_44539,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_44380]) ).
tff(c_44542,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44539,c_326]) ).
tff(c_44583,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44539,c_43881]) ).
tff(c_44584,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_44542,c_44583]) ).
tff(c_44590,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44584,c_266]) ).
tff(c_44597,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_44590,c_44372,c_43817]) ).
tff(c_44655,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_44597,c_44539,c_166]) ).
tff(c_44656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44542,c_44655]) ).
tff(c_44657,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_40444]) ).
tff(c_45611,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_45548,c_44657]) ).
tff(c_45612,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_45611]) ).
tff(c_45615,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45612,c_270]) ).
tff(c_45545,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45541,c_236]) ).
tff(c_45500,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_45512,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45500,c_44659,c_206]) ).
tff(c_45513,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_45633,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_45615,c_45545,c_45513]) ).
tff(c_45639,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45633,c_246]) ).
tff(c_45559,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_43628]) ).
tff(c_45568,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45559,c_372]) ).
tff(c_45573,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45559,c_44657]) ).
tff(c_45574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45568,c_412,c_45548,c_45573]) ).
tff(c_45575,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_43628]) ).
tff(c_45691,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45633,c_45575]) ).
tff(c_45692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_45639,c_45691]) ).
tff(c_45693,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_45611]) ).
tff(c_45700,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45693,c_252]) ).
tff(c_45694,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_45611]) ).
tff(c_45701,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45693,c_250]) ).
tff(c_45710,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_45701,c_45545,c_45513]) ).
tff(c_44870,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_44657]) ).
tff(c_44873,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44870,c_270]) ).
tff(c_44701,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_22590]) ).
tff(c_44706,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_44701,c_310]) ).
tff(c_44741,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_44706,c_40430]) ).
tff(c_44742,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_44741]) ).
tff(c_44743,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44742,c_236]) ).
tff(c_44745,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44742,c_230]) ).
tff(c_44769,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_44745,c_44657]) ).
tff(c_44770,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_44769]) ).
tff(c_44777,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44770,c_372]) ).
tff(c_44760,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44742,c_326]) ).
tff(c_44791,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_44777,c_44760,c_43628]) ).
tff(c_44792,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44791,c_258]) ).
tff(c_44814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44663,c_44743,c_44792,c_32487]) ).
tff(c_44815,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_44769]) ).
tff(c_44819,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44815,c_252]) ).
tff(c_44829,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44815,c_43628]) ).
tff(c_44830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_44819,c_44760,c_44829]) ).
tff(c_44832,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_44741]) ).
tff(c_44877,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44870,c_372]) ).
tff(c_44891,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_44877,c_43628]) ).
tff(c_44892,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_44891]) ).
tff(c_44899,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44892,c_246]) ).
tff(c_44712,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_44738,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44712,c_44659,c_206]) ).
tff(c_44739,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_44933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44873,c_44899,c_44832,c_44739]) ).
tff(c_44934,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_44891]) ).
tff(c_44972,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44934,c_44739]) ).
tff(c_44973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44873,c_406,c_44832,c_44972]) ).
tff(c_44974,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_44657]) ).
tff(c_45415,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_44974]) ).
tff(c_44831,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_44741]) ).
tff(c_45439,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45415,c_44831]) ).
tff(c_45440,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_45439]) ).
tff(c_45157,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_44663,c_32487]) ).
tff(c_45158,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_45157]) ).
tff(c_45164,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45158,c_240]) ).
tff(c_45303,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_45164,c_44974]) ).
tff(c_44975,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_44657]) ).
tff(c_45261,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_44831]) ).
tff(c_45176,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_44832,c_44739]) ).
tff(c_45177,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_45176]) ).
tff(c_45256,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_45177,c_184]) ).
tff(c_45262,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_45261,c_45256]) ).
tff(c_45272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44975,c_45262]) ).
tff(c_45273,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_44831]) ).
tff(c_45205,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_45164,c_44974]) ).
tff(c_45211,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45205,c_252]) ).
tff(c_45029,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_44663,c_32487]) ).
tff(c_45030,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_45029]) ).
tff(c_45036,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45030,c_240]) ).
tff(c_45010,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_43628]) ).
tff(c_45079,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45010,c_44974]) ).
tff(c_45080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45036,c_412,c_45079]) ).
tff(c_45081,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_45029]) ).
tff(c_45091,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45081,c_256]) ).
tff(c_45098,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_45091,c_44832,c_44739]) ).
tff(c_45131,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45010,c_44974]) ).
tff(c_45132,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_45131]) ).
tff(c_45149,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_45098,c_45132,c_45098,c_168]) ).
tff(c_45150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_45149]) ).
tff(c_45151,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_43628]) ).
tff(c_45225,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_45211,c_45151]) ).
tff(c_45228,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_45225,c_166]) ).
tff(c_45275,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_45273,c_45273,c_45228]) ).
tff(c_45286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_45275]) ).
tff(c_45287,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_45176]) ).
tff(c_45294,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45287,c_250]) ).
tff(c_45319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45303,c_45294]) ).
tff(c_45320,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_45157]) ).
tff(c_45329,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45320,c_260]) ).
tff(c_45351,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_45151]) ).
tff(c_45365,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_44974]) ).
tff(c_45379,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45365,c_44831]) ).
tff(c_45380,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_45379]) ).
tff(c_45354,plain,
op(op(e3,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_45351,c_174]) ).
tff(c_45393,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_45351,c_45380,c_45354]) ).
tff(c_45394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_45393]) ).
tff(c_45395,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_44974]) ).
tff(c_45412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45329,c_45395]) ).
tff(c_45413,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_45151]) ).
tff(c_45429,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45413,c_346]) ).
tff(c_45455,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45440,c_45429]) ).
tff(c_45456,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_44974]) ).
tff(c_45483,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45456,c_45329]) ).
tff(c_45484,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_22590]) ).
tff(c_45732,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45710,c_45484]) ).
tff(c_45733,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_45694,c_410,c_45732]) ).
tff(c_45697,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_45693,c_178]) ).
tff(c_45734,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_45733,c_45697]) ).
tff(c_45744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45700,c_45734]) ).
tff(c_45745,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_45540]) ).
tff(c_45753,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45745,c_260]) ).
tff(c_45867,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_45753,c_44657]) ).
tff(c_45868,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_45867]) ).
tff(c_45871,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45868,c_270]) ).
tff(c_45752,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45745,c_258]) ).
tff(c_45761,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_45752,c_43628]) ).
tff(c_45762,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_45761]) ).
tff(c_45771,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45762,c_372]) ).
tff(c_45754,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45745,c_256]) ).
tff(c_45776,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45762,c_44657]) ).
tff(c_45777,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_45771,c_412,c_45776]) ).
tff(c_45784,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45777,c_230]) ).
tff(c_45807,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_45754,c_45784,c_45513]) ).
tff(c_45839,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45807,c_45484]) ).
tff(c_45840,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_45771,c_410,c_45839]) ).
tff(c_45829,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_45762,c_186]) ).
tff(c_45841,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_45840,c_45840,c_45829]) ).
tff(c_45852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_45841]) ).
tff(c_45853,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_45761]) ).
tff(c_45856,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45853,c_326]) ).
tff(c_45885,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45853,c_45513]) ).
tff(c_45886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45871,c_406,c_45856,c_45885]) ).
tff(c_45887,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_45867]) ).
tff(c_45909,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45853,c_45513]) ).
tff(c_45910,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_45856,c_45909]) ).
tff(c_45961,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_45887,c_45910,c_45887,c_184]) ).
tff(c_45962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_45961]) ).
tff(c_45963,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_49911,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_45963]) ).
tff(c_49919,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49911,c_272]) ).
tff(c_48231,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_44657]) ).
tff(c_48234,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48231,c_270]) ).
tff(c_45965,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_22590]) ).
tff(c_45970,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_45965,c_310]) ).
tff(c_46979,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_45970,c_40430]) ).
tff(c_46980,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_46979]) ).
tff(c_47007,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46980,c_326]) ).
tff(c_46981,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46980,c_236]) ).
tff(c_46983,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46980,c_230]) ).
tff(c_47032,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_46983,c_44657]) ).
tff(c_47033,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_47032]) ).
tff(c_47040,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47033,c_372]) ).
tff(c_47054,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_47040,c_47007,c_43628]) ).
tff(c_47055,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47054,c_258]) ).
tff(c_47071,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_46981,c_47055,c_32487]) ).
tff(c_47093,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_47071,c_445,c_160]) ).
tff(c_47094,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_47093]) ).
tff(c_47095,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_47032]) ).
tff(c_47144,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47095,c_43628]) ).
tff(c_47145,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_47007,c_47144]) ).
tff(c_47101,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47095,c_252]) ).
tff(c_47159,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47145,c_47101]) ).
tff(c_47161,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_46979]) ).
tff(c_45971,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_45965,c_308]) ).
tff(c_45977,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_46168,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45977,c_36500]) ).
tff(c_46169,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_45971,c_402,c_46168]) ).
tff(c_46170,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_46169]) ).
tff(c_46173,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46170,c_344]) ).
tff(c_45979,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_45977,c_216]) ).
tff(c_46502,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_45979,c_32487]) ).
tff(c_46503,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_46502]) ).
tff(c_46508,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46503,c_238]) ).
tff(c_46526,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_46173,c_46508,c_45963]) ).
tff(c_46174,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46170,c_342]) ).
tff(c_45984,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_45970,c_40430]) ).
tff(c_45985,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_45984]) ).
tff(c_45988,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45985,c_230]) ).
tff(c_45997,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45977,c_36500]) ).
tff(c_45998,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_45971,c_402,c_45997]) ).
tff(c_45999,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_45998]) ).
tff(c_46002,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45999,c_344]) ).
tff(c_46018,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45985,c_326]) ).
tff(c_46104,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_46002,c_46018,c_43628]) ).
tff(c_45989,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45985,c_226]) ).
tff(c_46046,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_46002,c_45989,c_45963]) ).
tff(c_46059,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_46046,c_178]) ).
tff(c_46106,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_46104,c_46059]) ).
tff(c_46129,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46106,c_46104,c_44657]) ).
tff(c_46130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_412,c_45988,c_46129]) ).
tff(c_46131,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_45998]) ).
tff(c_46164,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_46131,c_46131,c_45965,c_158]) ).
tff(c_46165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_46164]) ).
tff(c_46166,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_45984]) ).
tff(c_46562,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_46174,c_46166]) ).
tff(c_46202,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_44657]) ).
tff(c_46204,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46202,c_370]) ).
tff(c_46207,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46202,c_272]) ).
tff(c_46299,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_46207,c_46173,c_45963]) ).
tff(c_46335,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46299,c_46166]) ).
tff(c_46336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46204,c_406,c_46335]) ).
tff(c_46337,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_44657]) ).
tff(c_46599,plain,
( ( op(e2,e1) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46562,c_46337]) ).
tff(c_46600,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_46599]) ).
tff(c_46528,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_46526,c_178]) ).
tff(c_46601,plain,
op(e1,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_46600,c_46528]) ).
tff(c_46611,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_46526,c_46601]) ).
tff(c_46613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_46611]) ).
tff(c_46614,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_46502]) ).
tff(c_46623,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46614,c_260]) ).
tff(c_46672,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_46174,c_46166]) ).
tff(c_46704,plain,
( ( op(e2,e1) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46672,c_46337]) ).
tff(c_46705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_46623,c_46704]) ).
tff(c_46706,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_46169]) ).
tff(c_46711,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46706,c_368]) ).
tff(c_46735,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_46711,c_44657]) ).
tff(c_46736,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_46735]) ).
tff(c_46741,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46736,c_252]) ).
tff(c_46739,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46736,c_260]) ).
tff(c_46785,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_45979,c_46739,c_32487]) ).
tff(c_46790,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46785,c_238]) ).
tff(c_46813,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_46741,c_46790,c_45963]) ).
tff(c_46737,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_46736,c_178]) ).
tff(c_46814,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_46813,c_46813,c_46737]) ).
tff(c_46824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_46814]) ).
tff(c_46825,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_46735]) ).
tff(c_46959,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46825,c_46166]) ).
tff(c_46960,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_46959]) ).
tff(c_46831,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46825,c_240]) ).
tff(c_46710,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46706,c_364]) ).
tff(c_46844,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_46710,c_43628]) ).
tff(c_46845,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_46844]) ).
tff(c_46846,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46845,c_258]) ).
tff(c_46867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45979,c_46831,c_46846,c_32487]) ).
tff(c_46868,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_46844]) ).
tff(c_46945,plain,
op(op(e3,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_46868,c_174]) ).
tff(c_46961,plain,
op(e2,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_46960,c_46945]) ).
tff(c_46974,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_46961,c_46868]) ).
tff(c_46976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_46974]) ).
tff(c_46977,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_48257,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_48234,c_47161,c_46977]) ).
tff(c_48262,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48257,c_256]) ).
tff(c_48088,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_32487]) ).
tff(c_48079,plain,
op(e0,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_160]) ).
tff(c_48089,plain,
op(e0,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_48088,c_48079]) ).
tff(c_48099,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_48089]) ).
tff(c_48101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_48099]) ).
tff(c_48102,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_32487]) ).
tff(c_48276,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_48262,c_48102]) ).
tff(c_48283,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48276,c_238]) ).
tff(c_48264,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48257,c_246]) ).
tff(c_47847,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_45963]) ).
tff(c_47853,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47847,c_266]) ).
tff(c_48033,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_47853,c_47161,c_46977]) ).
tff(c_48037,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48033,c_256]) ).
tff(c_47855,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47847,c_272]) ).
tff(c_48003,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_47855,c_44657]) ).
tff(c_48004,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_48003]) ).
tff(c_47973,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_47847,c_186]) ).
tff(c_48005,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_48004,c_48004,c_47973]) ).
tff(c_48017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_48005]) ).
tff(c_48018,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_48003]) ).
tff(c_48025,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48018,c_240]) ).
tff(c_47869,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_32487]) ).
tff(c_47883,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_47869,c_47869,c_445,c_192]) ).
tff(c_47884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_47883]) ).
tff(c_47885,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_32487]) ).
tff(c_48051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48037,c_48025,c_47885]) ).
tff(c_48052,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_45963]) ).
tff(c_48300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48283,c_48264,c_48052]) ).
tff(c_48302,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_44657]) ).
tff(c_47490,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_44657]) ).
tff(c_47493,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47490,c_270]) ).
tff(c_47497,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47490,c_372]) ).
tff(c_47162,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_45971,c_36500]) ).
tff(c_47163,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_47162]) ).
tff(c_47175,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47163,c_324]) ).
tff(c_47511,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_47497,c_47175,c_43628]) ).
tff(c_47518,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47511,c_246]) ).
tff(c_47525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47493,c_47518,c_47161,c_46977]) ).
tff(c_47527,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_44657]) ).
tff(c_47560,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_47175,c_43628]) ).
tff(c_47561,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_47560]) ).
tff(c_47526,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_44657]) ).
tff(c_47665,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47561,c_47526]) ).
tff(c_47666,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_47665]) ).
tff(c_47580,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_47161,c_46977]) ).
tff(c_47581,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_47580]) ).
tff(c_47582,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_47581,c_184]) ).
tff(c_47668,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_47666,c_47666,c_47582]) ).
tff(c_47677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_47668]) ).
tff(c_47678,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_47580]) ).
tff(c_47683,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47678,c_256]) ).
tff(c_47407,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_32487]) ).
tff(c_47486,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_47407,c_445,c_160]) ).
tff(c_47487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_47486]) ).
tff(c_47488,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_32487]) ).
tff(c_47696,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_47683,c_47488]) ).
tff(c_47702,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47696,c_240]) ).
tff(c_47749,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47561,c_47526]) ).
tff(c_47750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47702,c_412,c_47749]) ).
tff(c_47751,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_47560]) ).
tff(c_47755,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47751,c_346]) ).
tff(c_47160,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_46979]) ).
tff(c_47824,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_47755,c_47160]) ).
tff(c_47759,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47751,c_246]) ).
tff(c_47765,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_47759,c_47161,c_46977]) ).
tff(c_47766,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_47765,c_184]) ).
tff(c_47826,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_47824,c_47766]) ).
tff(c_47835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47527,c_47826]) ).
tff(c_47836,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_47162]) ).
tff(c_48562,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_47836]) ).
tff(c_48074,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_45965,c_158]) ).
tff(c_48564,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_48562,c_48562,c_48074]) ).
tff(c_48575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_48564]) ).
tff(c_48576,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_47836]) ).
tff(c_48586,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48576,c_342]) ).
tff(c_48616,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_48586,c_47160]) ).
tff(c_48538,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_47161,c_46977]) ).
tff(c_48539,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_48538]) ).
tff(c_48541,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_48539,c_184]) ).
tff(c_48617,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_48616,c_48541]) ).
tff(c_48628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48302,c_48617]) ).
tff(c_48629,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_48538]) ).
tff(c_48132,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_43628]) ).
tff(c_48141,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48132,c_372]) ).
tff(c_48146,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48132,c_44657]) ).
tff(c_48147,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_48141,c_412,c_48146]) ).
tff(c_48153,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48147,c_240]) ).
tff(c_48207,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_48153,c_48102]) ).
tff(c_48174,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_47161,c_46977]) ).
tff(c_48175,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_48174]) ).
tff(c_48149,plain,
op(e3,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_48147,c_184]) ).
tff(c_48176,plain,
op(e3,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_48175,c_48149]) ).
tff(c_48189,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_48176,c_48147]) ).
tff(c_48191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_48189]) ).
tff(c_48192,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_48174]) ).
tff(c_48198,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48192,c_256]) ).
tff(c_48223,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48207,c_48198]) ).
tff(c_48224,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_43628]) ).
tff(c_48645,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48629,c_48224]) ).
tff(c_48646,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_406,c_48645]) ).
tff(c_48637,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48629,c_246]) ).
tff(c_48660,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48646,c_48637]) ).
tff(c_48661,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_22590]) ).
tff(c_50073,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49911,c_48661]) ).
tff(c_50074,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_49919,c_412,c_50073]) ).
tff(c_50078,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50074,c_330]) ).
tff(c_50096,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_49919,c_44657]) ).
tff(c_50097,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_50096]) ).
tff(c_50102,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50097,c_250]) ).
tff(c_49203,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_48661]) ).
tff(c_49205,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49203,c_370]) ).
tff(c_49209,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49203,c_368]) ).
tff(c_49210,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49203,c_372]) ).
tff(c_49258,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_49210,c_43628]) ).
tff(c_49259,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_49258]) ).
tff(c_49264,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49259,c_344]) ).
tff(c_48663,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_524]) ).
tff(c_49147,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48663,c_36500]) ).
tff(c_49148,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_49147]) ).
tff(c_49149,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_49148]) ).
tff(c_49160,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49149,c_48663,c_202]) ).
tff(c_49161,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_49148]) ).
tff(c_49314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49209,c_49264,c_49161]) ).
tff(c_49315,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_49258]) ).
tff(c_49319,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49315,c_326]) ).
tff(c_49208,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49203,c_272]) ).
tff(c_49316,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_49258]) ).
tff(c_49331,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_49208,c_49316,c_45963]) ).
tff(c_48670,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_40430]) ).
tff(c_48674,plain,
op(e3,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_48670,c_222]) ).
tff(c_49066,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_48663,c_48670,c_162]) ).
tff(c_49143,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_49066,c_49066,c_152]) ).
tff(c_49144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48674,c_49143]) ).
tff(c_49145,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_40430]) ).
tff(c_49360,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49331,c_49145]) ).
tff(c_49361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49205,c_406,c_49319,c_49360]) ).
tff(c_49363,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_48661]) ).
tff(c_49397,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_49363,c_44657]) ).
tff(c_49398,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_49397]) ).
tff(c_49402,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49398,c_252]) ).
tff(c_48665,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_48663,c_216]) ).
tff(c_49400,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49398,c_260]) ).
tff(c_49440,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_48665,c_49400,c_32487]) ).
tff(c_49446,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49440,c_238]) ).
tff(c_49467,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_49402,c_49446,c_45963]) ).
tff(c_49399,plain,
op(e2,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_49398,c_186]) ).
tff(c_49468,plain,
op(e2,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_49467,c_49399]) ).
tff(c_49481,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_49468,c_49398]) ).
tff(c_49483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_49481]) ).
tff(c_49484,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_49397]) ).
tff(c_49493,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49484,c_230]) ).
tff(c_49629,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49484,c_49145]) ).
tff(c_49630,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_49493,c_49629]) ).
tff(c_49491,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49484,c_240]) ).
tff(c_49578,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_48665,c_49491,c_32487]) ).
tff(c_49584,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49578,c_258]) ).
tff(c_49514,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_48665,c_49491,c_32487]) ).
tff(c_49521,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49514,c_258]) ).
tff(c_49490,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49484,c_232]) ).
tff(c_49538,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_49521,c_49490,c_45963]) ).
tff(c_49499,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_43628]) ).
tff(c_49502,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_49499,c_186]) ).
tff(c_49539,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_49538,c_49502]) ).
tff(c_49549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49363,c_49539]) ).
tff(c_49550,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_43628]) ).
tff(c_49677,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_49584,c_49550]) ).
tff(c_49634,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_49630,c_166]) ).
tff(c_49678,plain,
op(e3,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_49677,c_49634]) ).
tff(c_49688,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_49630,c_49678]) ).
tff(c_49690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_49688]) ).
tff(c_49691,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_524]) ).
tff(c_49778,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_49691]) ).
tff(c_49783,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49778,c_270]) ).
tff(c_49795,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49778,c_48661]) ).
tff(c_49796,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_49783,c_410,c_49795]) ).
tff(c_49800,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49796,c_352]) ).
tff(c_49818,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_49783,c_44657]) ).
tff(c_49819,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_49818]) ).
tff(c_49886,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_49819,c_49796,c_178]) ).
tff(c_49887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49800,c_49886]) ).
tff(c_49888,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_49818]) ).
tff(c_49809,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_49778,c_184]) ).
tff(c_49890,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_49888,c_49888,c_49809]) ).
tff(c_49900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_49890]) ).
tff(c_49901,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_49691]) ).
tff(c_50111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50078,c_50102,c_49901]) ).
tff(c_50112,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_50096]) ).
tff(c_50075,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_50074,c_184]) ).
tff(c_50114,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_50112,c_50075]) ).
tff(c_50138,plain,
( ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50114,c_49901]) ).
tff(c_50139,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_50138]) ).
tff(c_50142,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50139,c_256]) ).
tff(c_50120,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50112,c_240]) ).
tff(c_49933,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_32487]) ).
tff(c_49947,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_49933,c_49933,c_445,c_192]) ).
tff(c_49948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_49947]) ).
tff(c_49949,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_32487]) ).
tff(c_50157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50142,c_50120,c_49949]) ).
tff(c_50158,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_45963]) ).
tff(c_50369,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_50158]) ).
tff(c_50379,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50369,c_226]) ).
tff(c_50384,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_50379,c_49901]) ).
tff(c_50371,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_50369,c_166]) ).
tff(c_50397,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_50384,c_50384,c_50371]) ).
tff(c_50398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_50397]) ).
tff(c_50399,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_50158]) ).
tff(c_50403,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50399,c_258]) ).
tff(c_50401,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_49901]) ).
tff(c_50420,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50401,c_236]) ).
tff(c_50194,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_32487]) ).
tff(c_50185,plain,
op(e0,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_160]) ).
tff(c_50195,plain,
op(e0,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_50194,c_50185]) ).
tff(c_50205,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_445,c_50195]) ).
tff(c_50207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_50205]) ).
tff(c_50208,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_32487]) ).
tff(c_50428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50403,c_50420,c_50208]) ).
tff(c_50429,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_49901]) ).
tff(c_50438,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50399,c_246]) ).
tff(c_50474,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50429,c_50438]) ).
tff(c_50475,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_436]) ).
tff(c_187645,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_187647,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_187645,c_308]) ).
tff(c_394,plain,
op(e4,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_186864,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_394]) ).
tff(c_186858,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_376]) ).
tff(c_186866,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_186864,c_186858,c_434]) ).
tff(c_186867,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_186866]) ).
tff(c_187641,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_186867,c_360]) ).
tff(c_79029,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_79443,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_79029,c_214]) ).
tff(c_79032,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_79029,c_302]) ).
tff(c_50477,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_432]) ).
tff(c_68150,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_390]) ).
tff(c_68151,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_68150,c_428]) ).
tff(c_68152,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_68151]) ).
tff(c_68154,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_230]) ).
tff(c_70321,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_70664,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_70321,c_208]) ).
tff(c_70323,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_70321,c_304]) ).
tff(c_70318,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_366]) ).
tff(c_50483,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_430]) ).
tff(c_50580,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_50483,c_392]) ).
tff(c_50581,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_430]) ).
tff(c_70330,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_70323,c_70318,c_50581]) ).
tff(c_70331,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_70330]) ).
tff(c_70452,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70331,c_326]) ).
tff(c_70325,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_70321,c_314]) ).
tff(c_70334,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70331,c_338]) ).
tff(c_68155,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_376]) ).
tff(c_68088,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_434]) ).
tff(c_68147,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_68088,c_400]) ).
tff(c_68148,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_70433,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_70325,c_70334,c_68155,c_68148]) ).
tff(c_70446,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70433,c_358]) ).
tff(c_62810,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_62959,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_214]) ).
tff(c_63140,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_208]) ).
tff(c_63124,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_202]) ).
tff(c_62859,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_214]) ).
tff(c_62813,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_302]) ).
tff(c_62578,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_62652,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62578,c_50477,c_390]) ).
tff(c_62653,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_62820,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_62813,c_62653]) ).
tff(c_62821,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_62820]) ).
tff(c_62822,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62821,c_236]) ).
tff(c_59085,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_298,plain,
op(e0,e2) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_59090,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59085,c_298]) ).
tff(c_62657,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_444]) ).
tff(c_62658,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59090,c_420,c_62657]) ).
tff(c_62659,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_62658]) ).
tff(c_62794,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_62659,c_59085,c_62659,c_196]) ).
tff(c_62795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_62794]) ).
tff(c_62796,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_62658]) ).
tff(c_62955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62859,c_62822,c_62796]) ).
tff(c_62957,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_62820]) ).
tff(c_55229,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_55233,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_55229,c_314]) ).
tff(c_50591,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_444]) ).
tff(c_50592,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_50591]) ).
tff(c_50593,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_50592]) ).
tff(c_50583,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_50612,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50593,c_50583,c_296]) ).
tff(c_50614,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_50592]) ).
tff(c_55004,plain,
( ( op(e0,e4) = e4 )
| ( e3 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_434]) ).
tff(c_55005,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50614,c_416,c_55004]) ).
tff(c_55006,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_55005]) ).
tff(c_55214,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_55006,c_50477,c_55006,c_198]) ).
tff(c_55215,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_55214]) ).
tff(c_55216,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_55005]) ).
tff(c_55561,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_55233,c_55216]) ).
tff(c_55563,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55561,c_358]) ).
tff(c_55232,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_55229,c_302]) ).
tff(c_50781,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_390]) ).
tff(c_52514,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50781,c_428]) ).
tff(c_52515,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_52514]) ).
tff(c_53673,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_370]) ).
tff(c_50782,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_290,plain,
op(e0,e3) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_50834,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50782,c_50583,c_290]) ).
tff(c_50835,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_54408,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_50835]) ).
tff(c_54409,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_53673,c_54408]) ).
tff(c_54410,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_54409]) ).
tff(c_54415,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_54410,c_220]) ).
tff(c_52519,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_376]) ).
tff(c_52525,plain,
( ( op(e0,e4) = e4 )
| ( e3 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_434]) ).
tff(c_52526,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50614,c_52519,c_416,c_52525]) ).
tff(c_52527,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_52526]) ).
tff(c_53478,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52527,c_358]) ).
tff(c_52550,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_52699,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_52550,c_214]) ).
tff(c_52538,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_370]) ).
tff(c_52571,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_50835]) ).
tff(c_52572,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_52538,c_52571]) ).
tff(c_52573,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_52572]) ).
tff(c_52626,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52550,c_52573,c_208]) ).
tff(c_52627,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_52572]) ).
tff(c_52692,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52627,c_260]) ).
tff(c_50613,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_50592]) ).
tff(c_52726,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_52699,c_52692,c_50613]) ).
tff(c_52721,plain,
op(e0,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_170]) ).
tff(c_52727,plain,
op(e0,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_52726,c_52721]) ).
tff(c_52736,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_52727]) ).
tff(c_52738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_52736]) ).
tff(c_52740,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_53476,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52527,c_354]) ).
tff(c_50482,plain,
op(e4,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_388]) ).
tff(c_50838,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50482,c_426]) ).
tff(c_50839,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_50838]) ).
tff(c_50840,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50839,c_368]) ).
tff(c_52157,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50839,c_50835]) ).
tff(c_52158,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_50840,c_52157]) ).
tff(c_52159,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_52158]) ).
tff(c_52163,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52159,c_230]) ).
tff(c_50841,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50839,c_374]) ).
tff(c_50848,plain,
( ( op(e0,e4) = e4 )
| ( e3 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_434]) ).
tff(c_50849,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50614,c_50841,c_416,c_50848]) ).
tff(c_50850,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_50849]) ).
tff(c_50954,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50850,c_358]) ).
tff(c_51064,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50839,c_50835]) ).
tff(c_51065,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_50840,c_51064]) ).
tff(c_51066,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_51065]) ).
tff(c_51068,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51066,c_232]) ).
tff(c_50615,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_286,plain,
op(e0,e3) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_50778,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_50615,c_286]) ).
tff(c_50779,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_51124,plain,
( ( op(e1,e2) = e1 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_51068,c_50954,c_50779]) ).
tff(c_51125,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_51124]) ).
tff(c_51130,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_51125,c_218]) ).
tff(c_51067,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51066,c_240]) ).
tff(c_51200,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_51130,c_51067,c_50613]) ).
tff(c_51158,plain,
op(e2,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_50850,c_180]) ).
tff(c_51201,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_51200,c_51158]) ).
tff(c_51211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50954,c_51201]) ).
tff(c_51212,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_51124]) ).
tff(c_264,plain,
op(e1,e4) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_51215,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51212,c_264]) ).
tff(c_51071,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51066,c_230]) ).
tff(c_50853,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50850,c_356]) ).
tff(c_50861,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50781,c_50853,c_428]) ).
tff(c_50862,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_50861]) ).
tff(c_50938,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50862,c_50839,c_362]) ).
tff(c_50939,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_50861]) ).
tff(c_51232,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_51071,c_50939]) ).
tff(c_50955,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_50958,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_50955,c_302]) ).
tff(c_50956,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_50955,c_304]) ).
tff(c_50964,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50839,c_50835]) ).
tff(c_50965,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_50840,c_50964]) ).
tff(c_50966,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_50965]) ).
tff(c_50971,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50966,c_230]) ).
tff(c_51011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50958,c_50971,c_50939]) ).
tff(c_51012,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_50965]) ).
tff(c_51025,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51012,c_50581]) ).
tff(c_51026,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_50956,c_50954,c_412,c_51025]) ).
tff(c_51057,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51026,c_326]) ).
tff(c_51059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50958,c_51057,c_50939]) ).
tff(c_51060,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_51247,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51232,c_51060]) ).
tff(c_51248,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_51215,c_402,c_51247]) ).
tff(c_51253,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51248,c_304]) ).
tff(c_51256,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51248,c_312]) ).
tff(c_254,plain,
op(e2,e4) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_51249,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51248,c_254]) ).
tff(c_51280,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_51067,c_51249,c_50613]) ).
tff(c_51281,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_51280,c_384]) ).
tff(c_50942,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50839,c_364]) ).
tff(c_51078,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_50954,c_50942,c_50581]) ).
tff(c_51079,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_51078]) ).
tff(c_51085,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_51079,c_306]) ).
tff(c_51110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51085,c_51071,c_50939]) ).
tff(c_51111,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_51078]) ).
tff(c_51396,plain,
( ( e4 = e2 )
| ( e4 = e3 )
| ( op(e2,e2) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51111,c_51248,c_94]) ).
tff(c_51397,plain,
( ( op(e2,e2) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_51281,c_402,c_404,c_51396]) ).
tff(c_51398,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_51397]) ).
tff(c_51261,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_51212,c_178]) ).
tff(c_51400,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_51398,c_51261]) ).
tff(c_51410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51256,c_51400]) ).
tff(c_51411,plain,
op(e2,e2) = e4,
inference(splitRight,[status(thm)],[c_51397]) ).
tff(c_51413,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_51411,c_51411,c_176]) ).
tff(c_51422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51253,c_51413]) ).
tff(c_51423,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_51065]) ).
tff(c_248,plain,
op(e2,e4) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_51426,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51423,c_248]) ).
tff(c_51805,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_51426,c_51060]) ).
tff(c_51806,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_51805]) ).
tff(c_51810,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51806,c_264]) ).
tff(c_51691,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_50939]) ).
tff(c_51705,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51691,c_51060]) ).
tff(c_51706,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_51426,c_402,c_51705]) ).
tff(c_51801,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_51706,c_50839,c_182]) ).
tff(c_51802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50840,c_51801]) ).
tff(c_51803,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_50939]) ).
tff(c_51820,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51803,c_226]) ).
tff(c_51435,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_50954,c_50779]) ).
tff(c_51436,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_51435]) ).
tff(c_51441,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_51436,c_218]) ).
tff(c_51522,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_50939]) ).
tff(c_51538,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51522,c_51060]) ).
tff(c_51539,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_51426,c_402,c_51538]) ).
tff(c_51577,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_51539,c_50839,c_182]) ).
tff(c_51578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50840,c_51577]) ).
tff(c_51579,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_50939]) ).
tff(c_51582,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51579,c_236]) ).
tff(c_51516,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51423,c_260]) ).
tff(c_51604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51441,c_51582,c_51516,c_50613]) ).
tff(c_51605,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_51435]) ).
tff(c_51829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51810,c_51820,c_51605]) ).
tff(c_51830,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_51805]) ).
tff(c_51837,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51803,c_222]) ).
tff(c_51868,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51830,c_51837]) ).
tff(c_51869,plain,
op(e0,e4) = e4,
inference(splitRight,[status(thm)],[c_50849]) ).
tff(c_316,plain,
op(e3,e4) != op(e0,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_51874,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_51869,c_316]) ).
tff(c_51880,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50781,c_51874,c_428]) ).
tff(c_51881,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_51880]) ).
tff(c_51961,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51881,c_50839,c_362]) ).
tff(c_51962,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_51880]) ).
tff(c_52204,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_52163,c_51962]) ).
tff(c_52209,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52204,c_346]) ).
tff(c_51970,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50839,c_364]) ).
tff(c_52171,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_51970,c_50581]) ).
tff(c_52172,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_52171]) ).
tff(c_318,plain,
op(e2,e4) != op(e0,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_52184,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52172,c_51869,c_318]) ).
tff(c_52185,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_52171]) ).
tff(c_52217,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_52209,c_52185]) ).
tff(c_52267,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_52217,c_52217,c_52204,c_174]) ).
tff(c_52268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_52267]) ).
tff(c_52269,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_52158]) ).
tff(c_52274,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52269,c_248]) ).
tff(c_52007,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50839,c_50835]) ).
tff(c_52008,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_50840,c_52007]) ).
tff(c_52009,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_52008]) ).
tff(c_51873,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_51869,c_314]) ).
tff(c_51977,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_51873,c_50475]) ).
tff(c_51978,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_51977]) ).
tff(c_52021,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52009,c_51978,c_228]) ).
tff(c_52022,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_52008]) ).
tff(c_52025,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52022,c_252]) ).
tff(c_224,plain,
op(e3,e4) != op(e3,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_51980,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51978,c_224]) ).
tff(c_52034,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_51980,c_50779]) ).
tff(c_52035,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_52034]) ).
tff(c_52039,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_52035,c_218]) ).
tff(c_234,plain,
op(e3,e4) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_51984,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51978,c_234]) ).
tff(c_52050,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52022,c_260]) ).
tff(c_52079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52039,c_51984,c_52050,c_50613]) ).
tff(c_52080,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_52034]) ).
tff(c_52117,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_52025,c_52080]) ).
tff(c_52153,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_52117,c_52117,c_52022,c_178]) ).
tff(c_52154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_52153]) ).
tff(c_52155,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_51977]) ).
tff(c_52493,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_52274,c_52155]) ).
tff(c_52496,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52493,c_264]) ).
tff(c_52272,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52269,c_252]) ).
tff(c_52320,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_52272,c_50779]) ).
tff(c_52321,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_52320]) ).
tff(c_52325,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_52321,c_218]) ).
tff(c_52333,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52269,c_260]) ).
tff(c_52391,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_52325,c_52333,c_50613]) ).
tff(c_52413,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_52391,c_50583,c_170]) ).
tff(c_52414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_52413]) ).
tff(c_52415,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_52320]) ).
tff(c_52434,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_52415]) ).
tff(c_52436,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52434,c_264]) ).
tff(c_52448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52436,c_52274,c_52155]) ).
tff(c_52449,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_52415]) ).
tff(c_52423,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_51962]) ).
tff(c_52478,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52449,c_52423,c_226]) ).
tff(c_52479,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_51962]) ).
tff(c_52507,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52479,c_52415]) ).
tff(c_52508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52496,c_406,c_52507]) ).
tff(c_52509,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_50838]) ).
tff(c_53518,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_52740,c_53476,c_52509]) ).
tff(c_53521,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53518,c_324]) ).
tff(c_52770,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52527,c_358]) ).
tff(c_52757,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_50835]) ).
tff(c_52758,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_52538,c_52757]) ).
tff(c_52759,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_52758]) ).
tff(c_52764,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_52759,c_220]) ).
tff(c_52517,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_366]) ).
tff(c_52743,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_52517,c_50581]) ).
tff(c_52744,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_52743]) ).
tff(c_52739,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_52814,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52744,c_52739]) ).
tff(c_52815,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_52814]) ).
tff(c_52816,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_52815]) ).
tff(c_52899,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_52759,c_52816,c_52759,c_182]) ).
tff(c_52900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_52899]) ).
tff(c_52901,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_52815]) ).
tff(c_52909,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52901,c_234]) ).
tff(c_52937,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_52764,c_52909,c_50613]) ).
tff(c_52970,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_52937,c_52527,c_180]) ).
tff(c_52971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52770,c_52970]) ).
tff(c_52972,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_52758]) ).
tff(c_53082,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52972,c_252]) ).
tff(c_244,plain,
op(e2,e4) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_52750,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_52744,c_244]) ).
tff(c_52974,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_50779]) ).
tff(c_53064,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_52974,c_52744,c_172]) ).
tff(c_53065,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_53064,c_53064,c_152]) ).
tff(c_53074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52750,c_53065]) ).
tff(c_53075,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_50779]) ).
tff(c_53106,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53082,c_53075]) ).
tff(c_53107,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_53106]) ).
tff(c_53188,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_52972,c_53107,c_52972,c_186]) ).
tff(c_53189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_53188]) ).
tff(c_53190,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_53106]) ).
tff(c_53199,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53190,c_224]) ).
tff(c_52973,plain,
op(e4,e1) != e4,
inference(splitRight,[status(thm)],[c_52758]) ).
tff(c_52510,plain,
op(e4,e1) != e1,
inference(splitRight,[status(thm)],[c_50838]) ).
tff(c_53204,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52744,c_52739]) ).
tff(c_53205,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_53204]) ).
tff(c_53206,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_53205]) ).
tff(c_53214,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53206,c_308]) ).
tff(c_53197,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53190,c_238]) ).
tff(c_53078,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52972,c_260]) ).
tff(c_53224,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_53197,c_53078,c_50613]) ).
tff(c_53091,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52527,c_354]) ).
tff(c_53093,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_52740,c_53091,c_52509]) ).
tff(c_53364,plain,
( ( op(e4,e4) = e1 )
| ( e3 = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53224,c_53093,c_66]) ).
tff(c_53365,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_52510,c_410,c_53214,c_53364]) ).
tff(c_53347,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_52744,c_156]) ).
tff(c_53366,plain,
op(e4,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_53365,c_53347]) ).
tff(c_53376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52973,c_53366]) ).
tff(c_53377,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_53205]) ).
tff(c_53379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53199,c_53377]) ).
tff(c_53380,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_52743]) ).
tff(c_53662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53478,c_53521,c_53380]) ).
tff(c_53663,plain,
op(e0,e4) = e4,
inference(splitRight,[status(thm)],[c_52526]) ).
tff(c_53666,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_53663,c_314]) ).
tff(c_54443,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_53666,c_52509]) ).
tff(c_54444,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_54443]) ).
tff(c_54456,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54444,c_324]) ).
tff(c_54420,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_52517,c_50581]) ).
tff(c_54421,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_54420]) ).
tff(c_54434,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54421,c_53663,c_318]) ).
tff(c_54435,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_54420]) ).
tff(c_54540,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_54456,c_54435]) ).
tff(c_54548,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54540,c_244]) ).
tff(c_52524,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_240]) ).
tff(c_53810,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_50835]) ).
tff(c_53811,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_53673,c_53810]) ).
tff(c_53812,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_53811]) ).
tff(c_53817,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_53812,c_220]) ).
tff(c_53686,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_53666,c_50475]) ).
tff(c_53687,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_53686]) ).
tff(c_53693,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53687,c_234]) ).
tff(c_53962,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53817,c_53693,c_50613]) ).
tff(c_53964,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53962,c_386]) ).
tff(c_54102,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_50781,c_52524,c_53964,c_53693,c_20]) ).
tff(c_54037,plain,
op(op(e3,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_194]) ).
tff(c_54103,plain,
op(e4,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_54102,c_54037]) ).
tff(c_54114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50482,c_54103]) ).
tff(c_54115,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_53811]) ).
tff(c_54119,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54115,c_252]) ).
tff(c_53741,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_50835]) ).
tff(c_53742,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_53673,c_53741]) ).
tff(c_53743,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_53742]) ).
tff(c_53689,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53687,c_224]) ).
tff(c_53730,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_53689,c_50779]) ).
tff(c_53731,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_53730]) ).
tff(c_53760,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53743,c_53731,c_212]) ).
tff(c_53761,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_53742]) ).
tff(c_53766,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53761,c_252]) ).
tff(c_53699,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_52517,c_50581]) ).
tff(c_53700,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_53699]) ).
tff(c_53727,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53700,c_53663,c_318]) ).
tff(c_53728,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_53699]) ).
tff(c_53793,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_53766,c_53728]) ).
tff(c_53780,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53731,c_52509]) ).
tff(c_53781,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_53666,c_404,c_53780]) ).
tff(c_53807,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53793,c_53781,c_324]) ).
tff(c_53808,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_53730]) ).
tff(c_54197,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_54119,c_53808]) ).
tff(c_54245,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_54115,c_54197,c_54115,c_186]) ).
tff(c_54246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_54245]) ).
tff(c_54247,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_53686]) ).
tff(c_54562,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_54548,c_54247]) ).
tff(c_54557,plain,
op(e4,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_54410,c_182]) ).
tff(c_54563,plain,
op(e4,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_54562,c_54557]) ).
tff(c_54576,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_54563,c_54410]) ).
tff(c_54578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_54576]) ).
tff(c_54579,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_54443]) ).
tff(c_54584,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54579,c_344]) ).
tff(c_54260,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52515,c_50835]) ).
tff(c_54261,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_53673,c_54260]) ).
tff(c_54262,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_54261]) ).
tff(c_54249,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_50779]) ).
tff(c_54288,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54262,c_54249,c_212]) ).
tff(c_54289,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_54261]) ).
tff(c_54293,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54289,c_252]) ).
tff(c_54327,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54249,c_52509]) ).
tff(c_54328,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_53666,c_404,c_54327]) ).
tff(c_54355,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54328,c_324]) ).
tff(c_54302,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54289,c_50581]) ).
tff(c_54303,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_54302]) ).
tff(c_54304,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_54303]) ).
tff(c_54317,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54304,c_53663,c_318]) ).
tff(c_54318,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_54303]) ).
tff(c_54402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54293,c_54355,c_54318]) ).
tff(c_54403,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_50779]) ).
tff(c_54591,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_54584,c_54403]) ).
tff(c_54592,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_54591]) ).
tff(c_54594,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54592,c_264]) ).
tff(c_54625,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_54594,c_54247]) ).
tff(c_54628,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54625,c_254]) ).
tff(c_54661,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_54415,c_54628,c_50613]) ).
tff(c_54643,plain,
op(e0,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_170]) ).
tff(c_54662,plain,
op(e0,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_54661,c_54643]) ).
tff(c_54671,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_54662]) ).
tff(c_54673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_54671]) ).
tff(c_54674,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_54591]) ).
tff(c_54681,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54674,c_238]) ).
tff(c_54709,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_54247]) ).
tff(c_54782,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_54410,c_54709,c_54410,c_182]) ).
tff(c_54783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_54782]) ).
tff(c_54784,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_54247]) ).
tff(c_54788,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54784,c_254]) ).
tff(c_54810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54415,c_54681,c_54788,c_50613]) ).
tff(c_54811,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_54409]) ).
tff(c_54815,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54811,c_252]) ).
tff(c_54824,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54811,c_50581]) ).
tff(c_54825,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_54815,c_412,c_54824]) ).
tff(c_54826,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_54825]) ).
tff(c_54840,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54826,c_53663,c_318]) ).
tff(c_54841,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_54825]) ).
tff(c_54845,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54841,c_246]) ).
tff(c_54883,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_54815,c_54403]) ).
tff(c_54884,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_54883]) ).
tff(c_54886,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54884,c_264]) ).
tff(c_54817,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54811,c_248]) ).
tff(c_54898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54886,c_54817,c_54247]) ).
tff(c_54899,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_54883]) ).
tff(c_54958,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_54899,c_54841,c_174]) ).
tff(c_54999,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_54958,c_54958,c_164]) ).
tff(c_55000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54845,c_54999]) ).
tff(c_55001,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_52514]) ).
tff(c_55417,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_55232,c_55001]) ).
tff(c_55418,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_55417]) ).
tff(c_55422,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55418,c_226]) ).
tff(c_55295,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_50779]) ).
tff(c_55321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55295,c_55229,c_204]) ).
tff(c_55322,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_50779]) ).
tff(c_55543,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55422,c_55322]) ).
tff(c_55544,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_55543]) ).
tff(c_55424,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55418,c_230]) ).
tff(c_55238,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_50835]) ).
tff(c_55291,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55229,c_55238,c_208]) ).
tff(c_55292,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_50835]) ).
tff(c_55480,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55424,c_55292]) ).
tff(c_55481,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_55480]) ).
tff(c_55486,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55481,c_272]) ).
tff(c_55511,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_55486,c_55422,c_55322]) ).
tff(c_55514,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55511,c_358]) ).
tff(c_55526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55233,c_55514,c_55216]) ).
tff(c_55527,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_55480]) ).
tff(c_55530,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_55527,c_178]) ).
tff(c_55557,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_55544,c_55544,c_55530]) ).
tff(c_55558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_55557]) ).
tff(c_55559,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_55543]) ).
tff(c_55575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55563,c_55559]) ).
tff(c_55576,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_55417]) ).
tff(c_55584,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55576,c_356]) ).
tff(c_55633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55233,c_55584,c_55216]) ).
tff(c_55635,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_58545,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_55635,c_52509]) ).
tff(c_58546,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_58545]) ).
tff(c_58548,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58546,c_324]) ).
tff(c_57306,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_50581]) ).
tff(c_57307,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_57306,c_318]) ).
tff(c_57313,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_57306,c_306]) ).
tff(c_57341,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_57313,c_55001]) ).
tff(c_57342,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_57341]) ).
tff(c_57345,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57342,c_322]) ).
tff(c_57359,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_55635,c_57345,c_52509]) ).
tff(c_57429,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_57306,c_57359,c_57306,c_172]) ).
tff(c_57430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_57429]) ).
tff(c_57431,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_57341]) ).
tff(c_57511,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57431,c_356]) ).
tff(c_57557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57307,c_57511,c_55216]) ).
tff(c_57558,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_50581]) ).
tff(c_57568,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_57558]) ).
tff(c_57570,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_57568,c_372]) ).
tff(c_56024,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_55635,c_52509]) ).
tff(c_56025,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_56024]) ).
tff(c_56032,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56025,c_322]) ).
tff(c_55849,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_55001]) ).
tff(c_55857,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_55849,c_316]) ).
tff(c_55874,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_55635,c_52509]) ).
tff(c_55875,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_55874]) ).
tff(c_55911,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_55849,c_55875,c_55849,c_162]) ).
tff(c_55912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_55911]) ).
tff(c_55913,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_55874]) ).
tff(c_55933,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55913,c_354]) ).
tff(c_55986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55857,c_55933,c_55216]) ).
tff(c_55987,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_55001]) ).
tff(c_56193,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_56032,c_55987]) ).
tff(c_56200,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56193,c_346]) ).
tff(c_55648,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_50779]) ).
tff(c_55637,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_50835]) ).
tff(c_55672,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55648,c_55637,c_212]) ).
tff(c_55673,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_50779]) ).
tff(c_56066,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_55673]) ).
tff(c_56073,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56066,c_272]) ).
tff(c_56031,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56025,c_324]) ).
tff(c_55675,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_50581]) ).
tff(c_55676,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_55675,c_318]) ).
tff(c_55682,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_55675,c_306]) ).
tff(c_55691,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_55682,c_55001]) ).
tff(c_55692,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_55691]) ).
tff(c_55695,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55692,c_322]) ).
tff(c_55710,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_55635,c_55695,c_52509]) ).
tff(c_55745,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_55710,c_55710,c_55675,c_156]) ).
tff(c_55746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_55745]) ).
tff(c_55747,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_55691]) ).
tff(c_55754,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55747,c_356]) ).
tff(c_55817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55676,c_55754,c_55216]) ).
tff(c_55818,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_50581]) ).
tff(c_56083,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_56031,c_55818]) ).
tff(c_56084,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_56083]) ).
tff(c_56102,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_56084,c_56066,c_186]) ).
tff(c_56103,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56073,c_56102]) ).
tff(c_56104,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_56083]) ).
tff(c_56112,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56104,c_346]) ).
tff(c_56133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56112,c_56032,c_55987]) ).
tff(c_56134,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_55673]) ).
tff(c_56259,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56193,c_56134]) ).
tff(c_56260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_56200,c_56259]) ).
tff(c_56261,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_56024]) ).
tff(c_56270,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56261,c_342]) ).
tff(c_56269,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56261,c_344]) ).
tff(c_56295,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_56269,c_55673]) ).
tff(c_56296,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_56295]) ).
tff(c_56303,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56296,c_272]) ).
tff(c_56317,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_56269,c_55818]) ).
tff(c_56318,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_56317]) ).
tff(c_56347,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_56318,c_56296,c_186]) ).
tff(c_56348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56303,c_56347]) ).
tff(c_56349,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_56317]) ).
tff(c_56368,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56349,c_326]) ).
tff(c_56380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56270,c_56368,c_55987]) ).
tff(c_56381,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_56295]) ).
tff(c_56385,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56381,c_226]) ).
tff(c_56418,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56381,c_55987]) ).
tff(c_56419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_56385,c_56418]) ).
tff(c_56420,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_50835]) ).
tff(c_57977,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57568,c_56420]) ).
tff(c_57978,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_57570,c_412,c_57977]) ).
tff(c_57983,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57978,c_232]) ).
tff(c_56422,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_50779]) ).
tff(c_56853,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56422,c_52509]) ).
tff(c_56854,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_55635,c_404,c_56853]) ).
tff(c_56860,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56854,c_322]) ).
tff(c_56649,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56422,c_52509]) ).
tff(c_56650,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_55635,c_404,c_56649]) ).
tff(c_56624,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_55001]) ).
tff(c_56738,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_56650,c_56624,c_56650,c_154]) ).
tff(c_56739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_56738]) ).
tff(c_56741,plain,
op(e3,e4) != e4,
inference(splitRight,[status(thm)],[c_55001]) ).
tff(c_56855,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56854,c_324]) ).
tff(c_56432,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_50581]) ).
tff(c_56433,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_56432,c_318]) ).
tff(c_56439,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_56432,c_306]) ).
tff(c_56462,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_56439,c_55001]) ).
tff(c_56463,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_56462]) ).
tff(c_56465,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56463,c_322]) ).
tff(c_56480,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56422,c_52509]) ).
tff(c_56481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55635,c_56465,c_404,c_56480]) ).
tff(c_56482,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_56462]) ).
tff(c_56490,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56482,c_356]) ).
tff(c_56579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56433,c_56490,c_55216]) ).
tff(c_56580,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_50581]) ).
tff(c_56902,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_56855,c_56580]) ).
tff(c_56903,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_56902]) ).
tff(c_56818,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56422,c_52509]) ).
tff(c_56819,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_55635,c_404,c_56818]) ).
tff(c_56825,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56819,c_322]) ).
tff(c_56742,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_56420]) ).
tff(c_56745,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56742,c_268]) ).
tff(c_55634,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_56770,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56745,c_55634]) ).
tff(c_56771,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_56770]) ).
tff(c_56598,plain,
op(e4,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_56422,c_172]) ).
tff(c_56772,plain,
op(e4,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_56771,c_56598]) ).
tff(c_56800,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_56772,c_56422]) ).
tff(c_56802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_56800]) ).
tff(c_56803,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_56770]) ).
tff(c_56849,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_56819,c_56803,c_162]) ).
tff(c_56850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56825,c_56849]) ).
tff(c_56851,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_56420]) ).
tff(c_57002,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56903,c_56851]) ).
tff(c_57003,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_57002]) ).
tff(c_57006,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57003,c_228]) ).
tff(c_56858,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56854,c_202]) ).
tff(c_56938,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_55216]) ).
tff(c_56879,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_55634]) ).
tff(c_56,plain,
( ( op(e4,e4) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_57066,plain,
( ( op(e4,e4) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( e3 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56938,c_56879,c_56]) ).
tff(c_57067,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_410,c_57006,c_56858,c_57066]) ).
tff(c_56997,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_56422,c_156]) ).
tff(c_57069,plain,
op(e3,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_57067,c_56997]) ).
tff(c_57078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56741,c_57069]) ).
tff(c_57079,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_55216]) ).
tff(c_57087,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57079,c_356]) ).
tff(c_56740,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_55001]) ).
tff(c_57109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57087,c_56860,c_56740]) ).
tff(c_57110,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_56902]) ).
tff(c_57118,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57110,c_346]) ).
tff(c_57170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57118,c_56860,c_56740]) ).
tff(c_57171,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_55634]) ).
tff(c_57277,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_57171]) ).
tff(c_57202,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_56854,c_162]) ).
tff(c_57279,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_57277,c_57202]) ).
tff(c_57289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56860,c_57279]) ).
tff(c_57290,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_57171]) ).
tff(c_57231,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_56422,c_156]) ).
tff(c_57292,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_57290,c_57290,c_57231]) ).
tff(c_57303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_57292]) ).
tff(c_57304,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_50779]) ).
tff(c_58009,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_57983,c_57304]) ).
tff(c_58010,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_58009]) ).
tff(c_57591,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_57568,c_186]) ).
tff(c_58012,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_58010,c_57591]) ).
tff(c_58022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57570,c_58012]) ).
tff(c_58023,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_58009]) ).
tff(c_58032,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58023,c_346]) ).
tff(c_57839,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_55635,c_52509]) ).
tff(c_57840,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_57839]) ).
tff(c_57845,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_322]) ).
tff(c_57596,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_55001]) ).
tff(c_57604,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_57596,c_316]) ).
tff(c_57617,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_55635,c_52509]) ).
tff(c_57618,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_57617]) ).
tff(c_57724,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_57596,c_57618,c_57596,c_162]) ).
tff(c_57725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_57724]) ).
tff(c_57726,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_57617]) ).
tff(c_57746,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57726,c_354]) ).
tff(c_57802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57604,c_57746,c_55216]) ).
tff(c_57803,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_55001]) ).
tff(c_58066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58032,c_57845,c_57803]) ).
tff(c_58067,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_57839]) ).
tff(c_58093,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58067,c_342]) ).
tff(c_58099,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57568,c_56420]) ).
tff(c_58100,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_57570,c_412,c_58099]) ).
tff(c_58108,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58100,c_230]) ).
tff(c_58180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58093,c_58108,c_57803]) ).
tff(c_58181,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_57558]) ).
tff(c_58781,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_58548,c_58181]) ).
tff(c_58789,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58781,c_346]) ).
tff(c_58551,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58546,c_322]) ).
tff(c_58216,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_55001]) ).
tff(c_58224,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_58216,c_316]) ).
tff(c_58237,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_55635,c_52509]) ).
tff(c_58238,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_58237]) ).
tff(c_58351,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_58238,c_58238,c_58216,c_154]) ).
tff(c_58352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_58351]) ).
tff(c_58353,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_58237]) ).
tff(c_58361,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58353,c_354]) ).
tff(c_58508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58224,c_58361,c_55216]) ).
tff(c_58509,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_55001]) ).
tff(c_58811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58789,c_58551,c_58509]) ).
tff(c_58812,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_58545]) ).
tff(c_58823,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58812,c_342]) ).
tff(c_59057,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_58823,c_58509]) ).
tff(c_59058,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59057,c_326]) ).
tff(c_58822,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58812,c_344]) ).
tff(c_59081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59058,c_58822,c_58181]) ).
tff(c_59082,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_63125,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_63124,c_62957,c_59082]) ).
tff(c_63126,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_63125]) ).
tff(c_63131,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63126,c_250]) ).
tff(c_59091,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59085,c_292]) ).
tff(c_59092,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_59091,c_442]) ).
tff(c_59093,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_59092]) ).
tff(c_59095,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59093,c_380]) ).
tff(c_59608,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( e2 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59085,c_434]) ).
tff(c_59609,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_59090,c_59095,c_418,c_59608]) ).
tff(c_59610,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_59609]) ).
tff(c_59614,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59610,c_336]) ).
tff(c_59100,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59093,c_270]) ).
tff(c_59803,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_59614,c_59100,c_59082]) ).
tff(c_59804,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59803]) ).
tff(c_59768,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59093,c_268]) ).
tff(c_59778,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_59768,c_50475]) ).
tff(c_59779,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_59778]) ).
tff(c_59827,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59804,c_59779,c_202]) ).
tff(c_59828,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_59803]) ).
tff(c_59781,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_59779,c_304]) ).
tff(c_59613,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59610,c_338]) ).
tff(c_59790,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59781,c_59613,c_50581]) ).
tff(c_59791,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_59790]) ).
tff(c_59844,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59828,c_59791,c_246]) ).
tff(c_59845,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_59790]) ).
tff(c_59867,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59845,c_59093,c_372]) ).
tff(c_59869,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_59778]) ).
tff(c_59616,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59610,c_334]) ).
tff(c_59297,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( e2 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59085,c_434]) ).
tff(c_59298,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_59090,c_59095,c_418,c_59297]) ).
tff(c_59299,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_59298]) ).
tff(c_59302,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59299,c_338]) ).
tff(c_59094,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59093,c_368]) ).
tff(c_59101,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50482,c_59094,c_426]) ).
tff(c_59102,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_59101]) ).
tff(c_59112,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59102,c_344]) ).
tff(c_59377,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_59302,c_59112,c_50581]) ).
tff(c_59378,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_59377]) ).
tff(c_59383,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_59378,c_306]) ).
tff(c_59404,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59093,c_370]) ).
tff(c_59110,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59102,c_342]) ).
tff(c_59303,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59299,c_336]) ).
tff(c_59312,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_59110,c_59303,c_428]) ).
tff(c_59313,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_59312]) ).
tff(c_59324,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59313,c_50477,c_390]) ).
tff(c_59325,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_59312]) ).
tff(c_59410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59383,c_59404,c_59325]) ).
tff(c_59411,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_59377]) ).
tff(c_59423,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59411,c_59093,c_372]) ).
tff(c_59424,plain,
op(e0,e4) = e4,
inference(splitRight,[status(thm)],[c_59298]) ).
tff(c_59427,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_59424,c_316]) ).
tff(c_59451,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59093,c_370]) ).
tff(c_59433,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_59110,c_428]) ).
tff(c_59434,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_59433]) ).
tff(c_59442,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59434,c_50477,c_390]) ).
tff(c_59443,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_59433]) ).
tff(c_59560,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_59427,c_59451,c_59443]) ).
tff(c_59426,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_59424,c_314]) ).
tff(c_59111,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59093,c_268]) ).
tff(c_59461,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_59426,c_59111,c_50475]) ).
tff(c_59462,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_59461]) ).
tff(c_59466,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59462,c_222]) ).
tff(c_59509,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59462,c_59443]) ).
tff(c_59510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_59466,c_59451,c_59509]) ).
tff(c_59511,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_59461]) ).
tff(c_59523,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59511,c_50581]) ).
tff(c_59524,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_59112,c_59523]) ).
tff(c_59525,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_59524]) ).
tff(c_59575,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59560,c_59525,c_326]) ).
tff(c_59576,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_59524]) ).
tff(c_59604,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59576,c_59093,c_372]) ).
tff(c_59605,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_59101]) ).
tff(c_59920,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59869,c_59616,c_59605]) ).
tff(c_59921,plain,
op(e0,e4) = e4,
inference(splitRight,[status(thm)],[c_59609]) ).
tff(c_59923,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_59921,c_314]) ).
tff(c_59957,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59093,c_268]) ).
tff(c_60053,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_59923,c_59957,c_50475]) ).
tff(c_60054,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_60053]) ).
tff(c_60058,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60054,c_222]) ).
tff(c_60065,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_59921,c_318]) ).
tff(c_60051,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59093,c_372]) ).
tff(c_60066,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_60065,c_60051,c_50581]) ).
tff(c_60067,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_60066]) ).
tff(c_60081,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60067,c_59082]) ).
tff(c_60082,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_60058,c_406,c_59100,c_60081]) ).
tff(c_60123,plain,
( ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60082,c_59605]) ).
tff(c_60124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59923,c_402,c_60123]) ).
tff(c_60125,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_60066]) ).
tff(c_60128,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60125,c_246]) ).
tff(c_60141,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_60058,c_60128,c_59100,c_59082]) ).
tff(c_60177,plain,
( ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60141,c_59605]) ).
tff(c_60178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59923,c_402,c_60177]) ).
tff(c_60179,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_60053]) ).
tff(c_60184,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60179,c_244]) ).
tff(c_60192,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60179,c_50581]) ).
tff(c_60193,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_404,c_60184,c_60051,c_60192]) ).
tff(c_60208,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60193,c_59082]) ).
tff(c_60209,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_59100,c_60208]) ).
tff(c_60210,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_60209]) ).
tff(c_60239,plain,
( ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60210,c_59605]) ).
tff(c_60240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59923,c_402,c_60239]) ).
tff(c_60241,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_60209]) ).
tff(c_60257,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60241,c_60193,c_326]) ).
tff(c_60258,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_59092]) ).
tff(c_63150,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_63140,c_63131,c_60258]) ).
tff(c_63153,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63150,c_240]) ).
tff(c_63249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62959,c_63153,c_62796]) ).
tff(c_63250,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_63125]) ).
tff(c_63265,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_208]) ).
tff(c_63270,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63265,c_60258]) ).
tff(c_63271,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_63270]) ).
tff(c_63303,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_63250,c_63271,c_63250,c_168]) ).
tff(c_63304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_63303]) ).
tff(c_63305,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_63270]) ).
tff(c_63311,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63305,c_252]) ).
tff(c_62814,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_314]) ).
tff(c_62812,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_62810,c_304]) ).
tff(c_62960,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_62812,c_50581]) ).
tff(c_62961,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_62960]) ).
tff(c_62966,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62961,c_338]) ).
tff(c_62213,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( e2 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59085,c_434]) ).
tff(c_62214,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_59090,c_418,c_62213]) ).
tff(c_62215,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_62214]) ).
tff(c_62574,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_50477,c_62215,c_190]) ).
tff(c_62575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_62574]) ).
tff(c_62576,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_62214]) ).
tff(c_63121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62814,c_62966,c_62576]) ).
tff(c_63122,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_62960]) ).
tff(c_63407,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63305,c_63122]) ).
tff(c_63408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_63311,c_63407]) ).
tff(c_63410,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_60261,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50482,c_426]) ).
tff(c_60262,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_60261]) ).
tff(c_60806,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60262,c_208]) ).
tff(c_60807,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60262,c_60258]) ).
tff(c_60808,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_60807]) ).
tff(c_60809,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_60808]) ).
tff(c_60811,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60809,c_228]) ).
tff(c_60264,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60262,c_374]) ).
tff(c_60339,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( e2 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59085,c_434]) ).
tff(c_60340,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_59090,c_60264,c_418,c_60339]) ).
tff(c_60341,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_60340]) ).
tff(c_60345,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60341,c_338]) ).
tff(c_60503,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60262,c_364]) ).
tff(c_60592,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_60345,c_60503,c_50581]) ).
tff(c_60593,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_60592]) ).
tff(c_60505,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_60508,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_60505,c_302]) ).
tff(c_60346,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60341,c_336]) ).
tff(c_60507,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_60505,c_304]) ).
tff(c_60515,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_60507,c_60345,c_60503,c_50581]) ).
tff(c_60521,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60515,c_346]) ).
tff(c_60271,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_390]) ).
tff(c_60272,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_60271,c_428]) ).
tff(c_60273,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_60272]) ).
tff(c_60336,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60273,c_60262,c_362]) ).
tff(c_60337,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_60272]) ).
tff(c_60585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60508,c_60346,c_60521,c_60337]) ).
tff(c_60586,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_60837,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60593,c_60586]) ).
tff(c_60838,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_60811,c_60837]) ).
tff(c_60950,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_60838,c_60262,c_158]) ).
tff(c_60951,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_60950,c_60950,c_188]) ).
tff(c_60960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60806,c_60951]) ).
tff(c_60961,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_60808]) ).
tff(c_60968,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60961,c_250]) ).
tff(c_60605,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_60346,c_59082]) ).
tff(c_60606,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_60605]) ).
tff(c_60608,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_60606,c_216]) ).
tff(c_60353,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_444]) ).
tff(c_60354,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59090,c_420,c_60353]) ).
tff(c_60355,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_60354]) ).
tff(c_60488,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_60355,c_59085,c_60355,c_196]) ).
tff(c_60489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_60488]) ).
tff(c_60490,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_60354]) ).
tff(c_60775,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_60608,c_60490]) ).
tff(c_60788,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_60775,c_60341,c_194]) ).
tff(c_60800,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_60788,c_60775,c_60341,c_170]) ).
tff(c_60801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_60800]) ).
tff(c_60802,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_60605]) ).
tff(c_61071,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_60968,c_60802]) ).
tff(c_61074,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61071,c_330]) ).
tff(c_60270,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_280]) ).
tff(c_60259,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_59092]) ).
tff(c_60970,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60961,c_372]) ).
tff(c_61194,plain,
( ( op(e1,e1) = e4 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_60270,c_60259,c_60970,c_38]) ).
tff(c_61195,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_61194]) ).
tff(c_61196,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_61195,c_61195,c_188]) ).
tff(c_61205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61074,c_61196]) ).
tff(c_61206,plain,
op(e1,e1) = e4,
inference(splitRight,[status(thm)],[c_61194]) ).
tff(c_61208,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_61206,c_61206,c_188]) ).
tff(c_61217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60806,c_61208]) ).
tff(c_61218,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_60592]) ).
tff(c_61303,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61218,c_244]) ).
tff(c_61307,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61218,c_346]) ).
tff(c_61331,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_60346,c_61307,c_60337]) ).
tff(c_61345,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61331,c_60586]) ).
tff(c_61346,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_61303,c_402,c_61345]) ).
tff(c_262,plain,
op(e1,e4) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_61349,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61346,c_262]) ).
tff(c_61308,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61218,c_246]) ).
tff(c_61220,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_60346,c_59082]) ).
tff(c_61221,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_61220]) ).
tff(c_61223,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_61221,c_216]) ).
tff(c_61232,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61218,c_252]) ).
tff(c_61243,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60262,c_60258]) ).
tff(c_61244,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_61232,c_61243]) ).
tff(c_61247,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61244,c_240]) ).
tff(c_61299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61223,c_61247,c_60490]) ).
tff(c_61300,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_61220]) ).
tff(c_61413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61349,c_61308,c_61300]) ).
tff(c_61414,plain,
op(e0,e4) = e4,
inference(splitRight,[status(thm)],[c_60340]) ).
tff(c_61735,plain,
op(e0,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_61414,c_294]) ).
tff(c_61965,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60262,c_60258]) ).
tff(c_61966,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_61965]) ).
tff(c_61967,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_61966]) ).
tff(c_61971,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61967,c_240]) ).
tff(c_61425,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_444]) ).
tff(c_61426,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59090,c_420,c_61425]) ).
tff(c_61427,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_61426]) ).
tff(c_61502,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_61427,c_61427,c_59085,c_196]) ).
tff(c_61503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_61502]) ).
tff(c_61504,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_61426]) ).
tff(c_62039,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_61971,c_61504]) ).
tff(c_62034,plain,
op(op(e4,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_61414,c_192]) ).
tff(c_62040,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_62039,c_62034]) ).
tff(c_62053,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_62040,c_62040,c_152]) ).
tff(c_62062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61735,c_62053]) ).
tff(c_62063,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_61966]) ).
tff(c_62069,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62063,c_250]) ).
tff(c_61417,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_61414,c_314]) ).
tff(c_61418,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_61414,c_316]) ).
tff(c_62077,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_61418,c_60337]) ).
tff(c_62078,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_62077]) ).
tff(c_62082,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62078,c_236]) ).
tff(c_62130,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_62082,c_61504]) ).
tff(c_62125,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_61414,c_160]) ).
tff(c_62131,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_62130,c_62125]) ).
tff(c_62142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61417,c_62131]) ).
tff(c_62144,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_62077]) ).
tff(c_61738,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_61740,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_61738,c_216]) ).
tff(c_61814,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_61418,c_60337]) ).
tff(c_61815,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_61814]) ).
tff(c_61818,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61815,c_236]) ).
tff(c_61847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61740,c_61818,c_61504]) ).
tff(c_61848,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_61814]) ).
tff(c_61756,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60262,c_60258]) ).
tff(c_61757,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_61756]) ).
tff(c_61758,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_61757]) ).
tff(c_61762,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61758,c_240]) ).
tff(c_61798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61740,c_61762,c_61504]) ).
tff(c_61799,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_61757]) ).
tff(c_61806,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61799,c_252]) ).
tff(c_61509,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60262,c_364]) ).
tff(c_61706,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_61509,c_50581]) ).
tff(c_61707,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_61706]) ).
tff(c_61732,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61707,c_61414,c_318]) ).
tff(c_61733,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_61706]) ).
tff(c_61943,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_61806,c_61733]) ).
tff(c_61928,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_61848,c_166]) ).
tff(c_61944,plain,
op(e3,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_61943,c_61928]) ).
tff(c_61953,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_61848,c_61944]) ).
tff(c_61955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_61953]) ).
tff(c_61956,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_62157,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_62069,c_62144,c_61956]) ).
tff(c_62160,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62157,c_262]) ).
tff(c_62068,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62063,c_248]) ).
tff(c_61518,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_61417,c_50475]) ).
tff(c_61519,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_61518]) ).
tff(c_61525,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61519,c_234]) ).
tff(c_61684,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_61525,c_61504]) ).
tff(c_61701,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_61684,c_61414,c_160]) ).
tff(c_61702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61417,c_61701]) ).
tff(c_61703,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_61518]) ).
tff(c_62209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62160,c_62068,c_61703]) ).
tff(c_62210,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_60261]) ).
tff(c_67188,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63410,c_62210]) ).
tff(c_67189,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_67188]) ).
tff(c_67196,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_67189,c_322]) ).
tff(c_65220,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_65407,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65220,c_62210]) ).
tff(c_65408,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_63410,c_402,c_65407]) ).
tff(c_65415,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65408,c_342]) ).
tff(c_65221,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_65220,c_210]) ).
tff(c_65392,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_65221,c_60258]) ).
tff(c_65393,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_65392]) ).
tff(c_65401,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65393,c_230]) ).
tff(c_63412,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_62653]) ).
tff(c_63419,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_63412,c_316]) ).
tff(c_64393,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_63419,c_62576]) ).
tff(c_64397,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64393,c_296]) ).
tff(c_64231,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_63419,c_62576]) ).
tff(c_63793,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63410,c_62210]) ).
tff(c_63794,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_63793]) ).
tff(c_63883,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_63794,c_63794,c_63412,c_154]) ).
tff(c_63884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_63883]) ).
tff(c_63885,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_63793]) ).
tff(c_63889,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63885,c_212]) ).
tff(c_63886,plain,
op(e4,e3) != e3,
inference(splitRight,[status(thm)],[c_63793]) ).
tff(c_63409,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_63766,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63412,c_63409]) ).
tff(c_63767,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_63766]) ).
tff(c_63768,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_63767]) ).
tff(c_63775,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63768,c_308]) ).
tff(c_114,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_64161,plain,
( ( e4 = e1 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e1,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_63768,c_114]) ).
tff(c_64162,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e1,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_64161]) ).
tff(c_64163,plain,
op(e1,e1) = e4,
inference(splitLeft,[status(thm)],[c_64162]) ).
tff(c_64165,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_64163,c_64163,c_188]) ).
tff(c_64173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63775,c_64165]) ).
tff(c_64174,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_64162]) ).
tff(c_64176,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_64174]) ).
tff(c_63773,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63768,c_262]) ).
tff(c_63634,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_63727,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_63634,c_63412,c_154]) ).
tff(c_63728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63410,c_63727]) ).
tff(c_63729,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_63991,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_63773,c_63729]) ).
tff(c_63992,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_63991]) ).
tff(c_63999,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63992,c_250]) ).
tff(c_63933,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_63419,c_62576]) ).
tff(c_63937,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63933,c_296]) ).
tff(c_63899,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_60258]) ).
tff(c_63907,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_63899,c_220]) ).
tff(c_63965,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_63907,c_62796]) ).
tff(c_63935,plain,
op(op(e3,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_63933,c_194]) ).
tff(c_63966,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_63965,c_63935]) ).
tff(c_63981,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_63966,c_63966,c_164]) ).
tff(c_63988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63937,c_63981]) ).
tff(c_63989,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_60258]) ).
tff(c_64074,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_63999,c_63989]) ).
tff(c_64075,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_64074,c_168]) ).
tff(c_64178,plain,
op(e4,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_64176,c_64075]) ).
tff(c_64188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63886,c_64178]) ).
tff(c_64189,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_64174]) ).
tff(c_64000,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63992,c_246]) ).
tff(c_63417,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_63412,c_306]) ).
tff(c_63425,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63417,c_50581]) ).
tff(c_63426,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_63425]) ).
tff(c_63431,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63426,c_338]) ).
tff(c_63630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63419,c_63431,c_62576]) ).
tff(c_63631,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_63425]) ).
tff(c_64106,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_64000,c_63631]) ).
tff(c_64110,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_64106,c_178]) ).
tff(c_64191,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_64189,c_64110]) ).
tff(c_64201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63889,c_64191]) ).
tff(c_64202,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_63991]) ).
tff(c_64226,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64202,c_336]) ).
tff(c_64245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64231,c_64226]) ).
tff(c_64246,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_63767]) ).
tff(c_64251,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64246,c_248]) ).
tff(c_64351,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_64251,c_60258]) ).
tff(c_64352,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_64351]) ).
tff(c_64361,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_64352,c_220]) ).
tff(c_64428,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_64361,c_62796]) ).
tff(c_64395,plain,
op(op(e3,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_64393,c_194]) ).
tff(c_64429,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_64428,c_64395]) ).
tff(c_64442,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_64429,c_64429,c_164]) ).
tff(c_64451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64397,c_64442]) ).
tff(c_64452,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_64351]) ).
tff(c_64473,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64452,c_230]) ).
tff(c_64249,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64246,c_242]) ).
tff(c_64479,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_64249,c_63729]) ).
tff(c_64480,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_64479]) ).
tff(c_64466,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_64452,c_168]) ).
tff(c_64521,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_64480,c_64480,c_64466]) ).
tff(c_64522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_64521]) ).
tff(c_64523,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_64479]) ).
tff(c_64552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64473,c_64523]) ).
tff(c_64553,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_62653]) ).
tff(c_65458,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65393,c_64553]) ).
tff(c_65459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_65415,c_65401,c_65458]) ).
tff(c_65460,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_65392]) ).
tff(c_65469,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65460,c_252]) ).
tff(c_65298,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65220,c_62210]) ).
tff(c_65299,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_63410,c_402,c_65298]) ).
tff(c_65307,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65299,c_342]) ).
tff(c_64556,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_50581]) ).
tff(c_64558,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_64556,c_318]) ).
tff(c_65088,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63410,c_62210]) ).
tff(c_65089,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_65088]) ).
tff(c_65097,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65089,c_334]) ).
tff(c_65199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64558,c_65097,c_62576]) ).
tff(c_65200,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_65088]) ).
tff(c_65074,plain,
op(op(e4,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_64556,c_172]) ).
tff(c_65202,plain,
op(e2,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_65200,c_65074]) ).
tff(c_65215,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_65202,c_64556]) ).
tff(c_65217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_65215]) ).
tff(c_65218,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_50581]) ).
tff(c_65251,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_65218]) ).
tff(c_65276,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65251,c_60258]) ).
tff(c_65277,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_65221,c_412,c_65276]) ).
tff(c_65284,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65277,c_230]) ).
tff(c_65355,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65277,c_64553]) ).
tff(c_65356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_65307,c_65284,c_65355]) ).
tff(c_65357,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_65218]) ).
tff(c_65635,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_65469,c_65357]) ).
tff(c_65643,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65635,c_246]) ).
tff(c_65477,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65220,c_62210]) ).
tff(c_65478,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_63410,c_402,c_65477]) ).
tff(c_65485,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65478,c_342]) ).
tff(c_65224,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_65220,c_216]) ).
tff(c_65576,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_65224,c_62796]) ).
tff(c_65583,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65576,c_238]) ).
tff(c_96,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_65650,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59085,c_65478,c_96]) ).
tff(c_65651,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_65583,c_406,c_65650]) ).
tff(c_65652,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_65651]) ).
tff(c_65463,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_65460,c_178]) ).
tff(c_65655,plain,
op(e3,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_65652,c_65463]) ).
tff(c_65663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65485,c_65655]) ).
tff(c_65664,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_65651]) ).
tff(c_65666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65643,c_65664]) ).
tff(c_65667,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_65681,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_65667]) ).
tff(c_65684,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65681,c_262]) ).
tff(c_66123,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_65684,c_63409]) ).
tff(c_66124,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_66123]) ).
tff(c_66129,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66124,c_248]) ).
tff(c_66323,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_66129,c_60258]) ).
tff(c_66324,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_66323]) ).
tff(c_66333,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_66324,c_220]) ).
tff(c_66338,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_66333,c_62796]) ).
tff(c_66346,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66338,c_236]) ).
tff(c_66143,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63410,c_62210]) ).
tff(c_66144,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_66143]) ).
tff(c_66147,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66144,c_324]) ).
tff(c_66130,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66124,c_244]) ).
tff(c_65704,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_65218]) ).
tff(c_65736,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65704,c_60258]) ).
tff(c_65737,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_65736]) ).
tff(c_65738,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_65737]) ).
tff(c_65746,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_65738,c_220]) ).
tff(c_66047,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_65746,c_62796]) ).
tff(c_65711,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65704,c_366]) ).
tff(c_65975,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_65711,c_64553]) ).
tff(c_65976,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_65975]) ).
tff(c_65983,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65976,c_342]) ).
tff(c_65884,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_65746,c_62796]) ).
tff(c_396,plain,
op(e3,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_65890,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65884,c_396]) ).
tff(c_65764,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63410,c_62210]) ).
tff(c_65765,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_65764]) ).
tff(c_65772,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65765,c_334]) ).
tff(c_65842,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_65772,c_62576]) ).
tff(c_65847,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_65842,c_282]) ).
tff(c_65771,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65765,c_322]) ).
tff(c_65811,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_65711,c_65771,c_64553]) ).
tff(c_65930,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65884,c_65811,c_90]) ).
tff(c_65931,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_418,c_65930]) ).
tff(c_65932,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_65931]) ).
tff(c_65731,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_65681,c_168]) ).
tff(c_65936,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_65932,c_65731]) ).
tff(c_65943,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_65936]) ).
tff(c_65945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_65943]) ).
tff(c_65946,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_65931]) ).
tff(c_65948,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_65946]) ).
tff(c_65833,plain,
op(op(e3,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_65765,c_154]) ).
tff(c_65951,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_65948,c_65833]) ).
tff(c_65960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65847,c_65951]) ).
tff(c_65961,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_65946]) ).
tff(c_65964,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_65961,c_65961,c_164]) ).
tff(c_65972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65890,c_65964]) ).
tff(c_65973,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_65764]) ).
tff(c_65990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65983,c_65973]) ).
tff(c_65991,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_65975]) ).
tff(c_66038,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65991,c_236]) ).
tff(c_66061,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66047,c_66038]) ).
tff(c_66062,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_65737]) ).
tff(c_66064,plain,
op(e1,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_66062,c_65731]) ).
tff(c_66074,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_65681,c_66064]) ).
tff(c_66076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_66074]) ).
tff(c_66077,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_65218]) ).
tff(c_66296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66147,c_66130,c_66077]) ).
tff(c_66297,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_66143]) ).
tff(c_66306,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66297,c_342]) ).
tff(c_66079,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_64553]) ).
tff(c_65699,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_65681,c_184]) ).
tff(c_66080,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_66079,c_65699]) ).
tff(c_66090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60259,c_66080]) ).
tff(c_66091,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_64553]) ).
tff(c_66393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66346,c_66306,c_66091]) ).
tff(c_66394,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_66323]) ).
tff(c_66098,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_65681,c_168]) ).
tff(c_66396,plain,
op(e1,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_66394,c_66098]) ).
tff(c_66407,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_65681,c_66396]) ).
tff(c_66409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_66407]) ).
tff(c_66410,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_66123]) ).
tff(c_66418,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66410,c_222]) ).
tff(c_66426,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63410,c_62210]) ).
tff(c_66427,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_66426]) ).
tff(c_66430,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66427,c_202]) ).
tff(c_66412,plain,
op(e3,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_66410,c_154]) ).
tff(c_66458,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_66427,c_66412]) ).
tff(c_66460,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_66458,c_66458,c_164]) ).
tff(c_66468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66430,c_66460]) ).
tff(c_66469,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_66426]) ).
tff(c_66522,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66469,c_342]) ).
tff(c_66612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66418,c_66522,c_66091]) ).
tff(c_66613,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_65667]) ).
tff(c_67248,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_67196,c_66613]) ).
tff(c_67256,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67248,c_246]) ).
tff(c_66649,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_65218]) ).
tff(c_66676,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66649,c_60258]) ).
tff(c_66677,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_66676]) ).
tff(c_66678,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_66677]) ).
tff(c_66687,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_66678,c_220]) ).
tff(c_66657,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66649,c_366]) ).
tff(c_66704,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63410,c_62210]) ).
tff(c_66705,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_66704]) ).
tff(c_66713,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66705,c_322]) ).
tff(c_66752,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_66657,c_66713,c_64553]) ).
tff(c_66758,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66752,c_346]) ).
tff(c_66851,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_66713,c_66613]) ).
tff(c_66770,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_66752,c_174]) ).
tff(c_66852,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_66851,c_66770]) ).
tff(c_66863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66758,c_66852]) ).
tff(c_66864,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_66704]) ).
tff(c_66872,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66864,c_342]) ).
tff(c_66909,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_66657,c_66872,c_64553]) ).
tff(c_66914,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66909,c_236]) ).
tff(c_66974,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66687,c_66914,c_62796]) ).
tff(c_66975,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_66677]) ).
tff(c_66984,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66975,c_230]) ).
tff(c_67046,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66975,c_64553]) ).
tff(c_67047,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_66984,c_67046]) ).
tff(c_67054,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67047,c_346]) ).
tff(c_67116,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_66984,c_66613]) ).
tff(c_67070,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_67047,c_174]) ).
tff(c_67117,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_67116,c_67070]) ).
tff(c_67128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67054,c_67117]) ).
tff(c_67129,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_65218]) ).
tff(c_67310,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67248,c_67129]) ).
tff(c_67311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_67256,c_67310]) ).
tff(c_67312,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_67188]) ).
tff(c_67321,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67312,c_344]) ).
tff(c_67164,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_60258]) ).
tff(c_67175,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_67164,c_220]) ).
tff(c_67414,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_67175,c_62796]) ).
tff(c_67400,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_66613]) ).
tff(c_67406,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_67400,c_236]) ).
tff(c_67429,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67414,c_67406]) ).
tff(c_67430,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_66613]) ).
tff(c_67469,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67430,c_67129]) ).
tff(c_67470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_67321,c_67469]) ).
tff(c_67471,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_60258]) ).
tff(c_67498,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_67471]) ).
tff(c_67506,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67498,c_252]) ).
tff(c_67658,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_67506,c_67129]) ).
tff(c_67662,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_67658,c_326]) ).
tff(c_67796,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67658,c_66613]) ).
tff(c_67797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67662,c_406,c_67796]) ).
tff(c_67798,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_67471]) ).
tff(c_67976,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_67798,c_230]) ).
tff(c_67800,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_63410,c_62210]) ).
tff(c_67801,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_67800]) ).
tff(c_67810,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_67801,c_322]) ).
tff(c_67846,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67798,c_64553]) ).
tff(c_67847,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_67810,c_67846]) ).
tff(c_67856,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67847,c_226]) ).
tff(c_67862,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_67810,c_66613]) ).
tff(c_67849,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_67847,c_166]) ).
tff(c_67922,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_67862,c_67849]) ).
tff(c_67924,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_67922,c_67922,c_176]) ).
tff(c_67932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67856,c_67924]) ).
tff(c_67933,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_67800]) ).
tff(c_68006,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67933,c_342]) ).
tff(c_67935,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_64553]) ).
tff(c_67964,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_67935,c_67798]) ).
tff(c_67965,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_67964]) ).
tff(c_67966,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_64553]) ).
tff(c_68085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67976,c_68006,c_67966]) ).
tff(c_68086,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_70341,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_68086]) ).
tff(c_70393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70321,c_70341,c_204]) ).
tff(c_70394,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_68086]) ).
tff(c_70499,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_70446,c_70394]) ).
tff(c_70500,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_70499]) ).
tff(c_70450,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_70321,c_208]) ).
tff(c_70314,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_370]) ).
tff(c_68149,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_68162,plain,
( ( op(e4,e1) = e4 )
| ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_442]) ).
tff(c_68163,plain,
( ( op(e4,e1) = e4 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_68162]) ).
tff(c_68164,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_68163]) ).
tff(c_68334,plain,
op(e0,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_68164,c_198]) ).
tff(c_68335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68149,c_68334]) ).
tff(c_68336,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_68163]) ).
tff(c_70565,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_70450,c_70314,c_68336]) ).
tff(c_70501,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_70500,c_178]) ).
tff(c_70566,plain,
op(e1,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_70565,c_70501]) ).
tff(c_70576,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_70500,c_70566]) ).
tff(c_70578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_70576]) ).
tff(c_70579,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_70499]) ).
tff(c_70593,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_70579,c_70331,c_166]) ).
tff(c_70594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70452,c_70593]) ).
tff(c_70595,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_70330]) ).
tff(c_70599,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70595,c_252]) ).
tff(c_70742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70664,c_70599,c_70314,c_68336]) ).
tff(c_70744,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_68160,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_362]) ).
tff(c_69492,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50482,c_68160,c_426]) ).
tff(c_69493,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_69492]) ).
tff(c_69564,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69493,c_354]) ).
tff(c_69565,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_69564,c_68155,c_68148]) ).
tff(c_69566,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_69565]) ).
tff(c_69567,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_69566,c_318]) ).
tff(c_69510,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69493,c_344]) ).
tff(c_70012,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_366]) ).
tff(c_70015,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_69567,c_69510,c_70012,c_50581]) ).
tff(c_70030,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70015,c_326]) ).
tff(c_69580,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69493,c_68086]) ).
tff(c_69581,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_69510,c_69580]) ).
tff(c_69582,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_69581]) ).
tff(c_69588,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69582,c_224]) ).
tff(c_69511,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_69513,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_69511,c_304]) ).
tff(c_69515,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_69511,c_314]) ).
tff(c_69521,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69493,c_354]) ).
tff(c_69522,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_69515,c_69521,c_68155,c_68148]) ).
tff(c_69527,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69522,c_338]) ).
tff(c_69520,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_366]) ).
tff(c_69561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69513,c_69527,c_69510,c_69520,c_50581]) ).
tff(c_69562,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_69689,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_69588,c_69562]) ).
tff(c_69690,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_69689]) ).
tff(c_69692,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69690,c_262]) ).
tff(c_69594,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_366]) ).
tff(c_69666,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_69567,c_69510,c_69594,c_50581]) ).
tff(c_69589,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69582,c_226]) ).
tff(c_69595,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_69589,c_59082]) ).
tff(c_69596,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_69595]) ).
tff(c_69598,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_69596,c_216]) ).
tff(c_69586,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69582,c_238]) ).
tff(c_68338,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_444]) ).
tff(c_68339,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_68149,c_420,c_68338]) ).
tff(c_68340,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_68339]) ).
tff(c_68773,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68340,c_254]) ).
tff(c_68780,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_68773,c_50475]) ).
tff(c_68781,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_68780]) ).
tff(c_68922,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_68781,c_208]) ).
tff(c_68879,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68340,c_260]) ).
tff(c_68767,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_370]) ).
tff(c_69018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68922,c_68879,c_68767,c_68336]) ).
tff(c_69020,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_68780]) ).
tff(c_68347,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50482,c_68160,c_426]) ).
tff(c_68348,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_68347]) ).
tff(c_68363,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68348,c_344]) ).
tff(c_68663,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68348,c_68086]) ).
tff(c_68664,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_68363,c_68663]) ).
tff(c_68665,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_68664]) ).
tff(c_68673,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68665,c_226]) ).
tff(c_68408,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68340,c_256]) ).
tff(c_68412,plain,
( ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_68408,c_59082]) ).
tff(c_68413,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_68412]) ).
tff(c_68470,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_68413,c_210]) ).
tff(c_68409,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68340,c_260]) ).
tff(c_68355,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_370]) ).
tff(c_68514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68470,c_68409,c_68355,c_68336]) ).
tff(c_68515,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_68412]) ).
tff(c_68696,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_68673,c_68515]) ).
tff(c_68701,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68696,c_262]) ).
tff(c_68672,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68665,c_224]) ).
tff(c_68361,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68340,c_254]) ).
tff(c_68371,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_68361,c_50475]) ).
tff(c_68372,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_68371]) ).
tff(c_68376,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_68372,c_314]) ).
tff(c_68374,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_68372,c_304]) ).
tff(c_68391,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_366]) ).
tff(c_68392,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_68374,c_68363,c_68391,c_50581]) ).
tff(c_68397,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68392,c_338]) ).
tff(c_68370,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68348,c_354]) ).
tff(c_68405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68376,c_68397,c_68370,c_68155,c_68148]) ).
tff(c_68406,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_68371]) ).
tff(c_68730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68701,c_68672,c_68406]) ).
tff(c_68731,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_68664]) ).
tff(c_68736,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68731,c_266]) ).
tff(c_68410,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_366]) ).
tff(c_68517,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_68363,c_68410,c_50581]) ).
tff(c_68518,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_68517]) ).
tff(c_68520,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_68518,c_318]) ).
tff(c_68532,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_68520,c_68370,c_68155,c_68148]) ).
tff(c_68539,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68532,c_336]) ).
tff(c_68575,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_68539,c_68515]) ).
tff(c_68580,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68575,c_262]) ).
tff(c_68546,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68348,c_68086]) ).
tff(c_68547,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_68363,c_68546]) ).
tff(c_68548,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_68547]) ).
tff(c_68555,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68548,c_224]) ).
tff(c_68609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68580,c_68555,c_68406]) ).
tff(c_68610,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_68547]) ).
tff(c_68615,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68610,c_266]) ).
tff(c_68633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68615,c_68539,c_68515]) ).
tff(c_68634,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_68517]) ).
tff(c_68748,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68634,c_326]) ).
tff(c_68763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68736,c_68748,c_68515]) ).
tff(c_68764,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_68347]) ).
tff(c_69418,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_69020,c_68764]) ).
tff(c_69425,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69418,c_202]) ).
tff(c_69423,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69418,c_322]) ).
tff(c_69021,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68340,c_256]) ).
tff(c_69271,plain,
( ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_69021,c_59082]) ).
tff(c_69272,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_69271]) ).
tff(c_69323,plain,
( ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69272,c_68764]) ).
tff(c_69324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69020,c_402,c_69323]) ).
tff(c_69325,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_69271]) ).
tff(c_69441,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_69423,c_69325]) ).
tff(c_69445,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69441,c_262]) ).
tff(c_69019,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_68780]) ).
tff(c_69466,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_69445,c_69019]) ).
tff(c_69419,plain,
op(op(e3,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_69418,c_154]) ).
tff(c_69467,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_69466,c_69419]) ).
tff(c_69481,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_69467,c_69467,c_164]) ).
tff(c_69488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69425,c_69481]) ).
tff(c_69489,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_68339]) ).
tff(c_69660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69598,c_69586,c_69489]) ).
tff(c_69661,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_69595]) ).
tff(c_69759,plain,
( ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69666,c_69661]) ).
tff(c_69760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69692,c_406,c_69759]) ).
tff(c_69761,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_69689]) ).
tff(c_69821,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_69761,c_69493,c_156]) ).
tff(c_69846,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_69821,c_69761,c_69493,c_172]) ).
tff(c_69847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_69846]) ).
tff(c_69848,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_69581]) ).
tff(c_69850,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69848,c_266]) ).
tff(c_69861,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_69850,c_59082]) ).
tff(c_69862,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_69861]) ).
tff(c_69890,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_69862,c_210]) ).
tff(c_69853,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69848,c_264]) ).
tff(c_69925,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_69853,c_69562]) ).
tff(c_69926,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_69925]) ).
tff(c_69931,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69926,c_248]) ).
tff(c_69499,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_370]) ).
tff(c_69996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69890,c_69931,c_69499,c_68336]) ).
tff(c_69997,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_69925]) ).
tff(c_69915,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_69862,c_154]) ).
tff(c_69999,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_69997,c_69997,c_69915]) ).
tff(c_70009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_69999]) ).
tff(c_70010,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_69861]) ).
tff(c_70161,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70015,c_70010]) ).
tff(c_70162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_70030,c_70161]) ).
tff(c_70163,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_69565]) ).
tff(c_70169,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70163,c_338]) ).
tff(c_70191,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68152,c_366]) ).
tff(c_70265,plain,
op(e2,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_70169,c_69510,c_70191,c_50581]) ).
tff(c_70307,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_69493,c_70265,c_69493,c_156]) ).
tff(c_70308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_70307]) ).
tff(c_70309,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_69492]) ).
tff(c_71475,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_70744,c_70309]) ).
tff(c_71479,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71475,c_322]) ).
tff(c_71328,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_71411,plain,
( ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71328,c_70309]) ).
tff(c_71412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70744,c_402,c_71411]) ).
tff(c_71413,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_71593,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_71479,c_71413]) ).
tff(c_71594,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_71593]) ).
tff(c_71656,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_71594,c_68152,c_168]) ).
tff(c_71657,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_71656,c_71656,c_188]) ).
tff(c_71666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68154,c_71657]) ).
tff(c_71667,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_71593]) ).
tff(c_71079,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_70744,c_70309]) ).
tff(c_71083,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71079,c_202]) ).
tff(c_70745,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_70318,c_50581]) ).
tff(c_70746,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_70745]) ).
tff(c_71029,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_70746,c_318]) ).
tff(c_71030,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_71029,c_68155,c_68148]) ).
tff(c_71031,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_71030]) ).
tff(c_71040,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71031,c_334]) ).
tff(c_71054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70744,c_71040,c_70309]) ).
tff(c_71055,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_71030]) ).
tff(c_71058,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71055,c_358]) ).
tff(c_70748,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_70746,c_244]) ).
tff(c_70759,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_68086]) ).
tff(c_70959,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_70746,c_70759,c_172]) ).
tff(c_70961,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_70959,c_70959,c_152]) ).
tff(c_70969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70748,c_70961]) ).
tff(c_70970,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_68086]) ).
tff(c_71103,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_71058,c_70970]) ).
tff(c_71104,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_71103]) ).
tff(c_71108,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71104,c_264]) ).
tff(c_70743,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_71134,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70746,c_70743]) ).
tff(c_71135,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_71108,c_404,c_71134]) ).
tff(c_71080,plain,
op(op(e3,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_71079,c_154]) ).
tff(c_71136,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_71135,c_71080]) ).
tff(c_71200,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_71136,c_71136,c_164]) ).
tff(c_71201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71083,c_71200]) ).
tff(c_71202,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_71103]) ).
tff(c_71300,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71202,c_238]) ).
tff(c_71308,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_69489]) ).
tff(c_71314,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_71308,c_220]) ).
tff(c_71085,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71079,c_322]) ).
tff(c_70972,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_71024,plain,
( ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70972,c_70309]) ).
tff(c_71025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70744,c_402,c_71024]) ).
tff(c_71026,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_71204,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_71085,c_71026]) ).
tff(c_71205,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_71204]) ).
tff(c_71209,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71205,c_262]) ).
tff(c_71230,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70746,c_70743]) ).
tff(c_71231,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_71209,c_404,c_71230]) ).
tff(c_71235,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71231,c_224]) ).
tff(c_71266,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71202,c_71235]) ).
tff(c_71267,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_71204]) ).
tff(c_71288,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71267,c_250]) ).
tff(c_71321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71314,c_71288,c_70314,c_68336]) ).
tff(c_71322,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_69489]) ).
tff(c_71324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71300,c_71322]) ).
tff(c_71325,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_70745]) ).
tff(c_71695,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71667,c_71325]) ).
tff(c_71696,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_406,c_71695]) ).
tff(c_71688,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71667,c_246]) ).
tff(c_71710,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71696,c_71688]) ).
tff(c_71711,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_68151]) ).
tff(c_79477,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_79032,c_71711]) ).
tff(c_79478,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_79477]) ).
tff(c_79482,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79478,c_236]) ).
tff(c_75226,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_444]) ).
tff(c_75227,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_68149,c_420,c_75226]) ).
tff(c_75228,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_75227]) ).
tff(c_75948,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75228,c_258]) ).
tff(c_78608,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_71711]) ).
tff(c_75238,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75228,c_254]) ).
tff(c_75246,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_75238,c_50475]) ).
tff(c_75247,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_75246]) ).
tff(c_75250,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_75247,c_302]) ).
tff(c_75257,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75228,c_258]) ).
tff(c_75251,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_75247,c_314]) ).
tff(c_75249,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_75247,c_304]) ).
tff(c_75259,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_75249,c_75257,c_50581]) ).
tff(c_75260,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_75259]) ).
tff(c_75265,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75260,c_338]) ).
tff(c_75354,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_75251,c_75265,c_68148]) ).
tff(c_75355,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_75354]) ).
tff(c_75485,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_75228,c_75355,c_180]) ).
tff(c_75486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75257,c_75485]) ).
tff(c_75487,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_75354]) ).
tff(c_75587,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_50477,c_75487,c_190]) ).
tff(c_75588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_75587]) ).
tff(c_75589,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_75259]) ).
tff(c_75596,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75589,c_372]) ).
tff(c_71714,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_71939,plain,
op(e0,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_71714,c_198]) ).
tff(c_71940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68149,c_71939]) ).
tff(c_71941,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_75709,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75589,c_71941]) ).
tff(c_75710,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_75596,c_75709]) ).
tff(c_75711,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_75710]) ).
tff(c_75768,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75247,c_75711,c_208]) ).
tff(c_75769,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_75710]) ).
tff(c_75777,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75769,c_230]) ).
tff(c_75598,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75589,c_378]) ).
tff(c_75783,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_75251,c_75598,c_68148]) ).
tff(c_75784,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_75783]) ).
tff(c_75790,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75784,c_336]) ).
tff(c_75256,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75228,c_256]) ).
tff(c_75797,plain,
( ( op(e1,e3) = e1 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_75790,c_75256,c_59082]) ).
tff(c_75798,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_75797]) ).
tff(c_75811,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75798,c_75247,c_202]) ).
tff(c_75812,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_75797]) ).
tff(c_75815,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75812,c_266]) ).
tff(c_75867,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_75250,c_75790,c_71711]) ).
tff(c_75603,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_75257,c_68086]) ).
tff(c_75604,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_75603]) ).
tff(c_75706,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75247,c_75604,c_204]) ).
tff(c_75707,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_75603]) ).
tff(c_75900,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75867,c_75707]) ).
tff(c_75901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75815,c_406,c_75900]) ).
tff(c_75902,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_75783]) ).
tff(c_75904,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75902,c_356]) ).
tff(c_75945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75250,c_75777,c_75904,c_71711]) ).
tff(c_75946,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_75246]) ).
tff(c_78787,plain,
( ( e4 = e3 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78608,c_75946]) ).
tff(c_78788,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_402,c_78787]) ).
tff(c_78794,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78788,c_262]) ).
tff(c_75947,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_75246]) ).
tff(c_71943,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50482,c_426]) ).
tff(c_71944,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_71943]) ).
tff(c_71952,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_368]) ).
tff(c_74792,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_71941]) ).
tff(c_74793,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_71952,c_74792]) ).
tff(c_74794,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_74793]) ).
tff(c_74800,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74794,c_232]) ).
tff(c_74428,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_68086]) ).
tff(c_74436,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_74428,c_218]) ).
tff(c_74443,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_71941]) ).
tff(c_74444,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_71952,c_74443]) ).
tff(c_74445,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_74444]) ).
tff(c_74448,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74445,c_240]) ).
tff(c_71954,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_444]) ).
tff(c_71955,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_68149,c_420,c_71954]) ).
tff(c_71956,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_71955]) ).
tff(c_71974,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71956,c_260]) ).
tff(c_72465,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_71941]) ).
tff(c_72466,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_71974,c_71952,c_72465]) ).
tff(c_72467,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72466,c_228]) ).
tff(c_71962,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71956,c_254]) ).
tff(c_71976,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_71962,c_50475]) ).
tff(c_71977,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_71976]) ).
tff(c_71980,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_71977,c_302]) ).
tff(c_72128,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_71941]) ).
tff(c_72129,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_71974,c_71952,c_72128]) ).
tff(c_72136,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72129,c_230]) ).
tff(c_71981,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_71977,c_314]) ).
tff(c_71979,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_71977,c_304]) ).
tff(c_71975,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71956,c_258]) ).
tff(c_71953,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_364]) ).
tff(c_72049,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_71979,c_71975,c_71953,c_50581]) ).
tff(c_72053,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72049,c_338]) ).
tff(c_71946,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_374]) ).
tff(c_72112,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_71981,c_72053,c_71946,c_68148]) ).
tff(c_72113,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72112,c_356]) ).
tff(c_72159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71980,c_72136,c_72113,c_71711]) ).
tff(c_72160,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_71976]) ).
tff(c_72555,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_72467,c_72160]) ).
tff(c_72542,plain,
op(e1,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_182]) ).
tff(c_72556,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_72555,c_72542]) ).
tff(c_72566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71952,c_72556]) ).
tff(c_72567,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_71955]) ).
tff(c_74583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74436,c_74448,c_72567]) ).
tff(c_74584,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_74444]) ).
tff(c_74589,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74584,c_248]) ).
tff(c_72578,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_72581,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_72578,c_302]) ).
tff(c_72580,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_72578,c_304]) ).
tff(c_72648,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_72580,c_71953,c_50581]) ).
tff(c_72649,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_72648]) ).
tff(c_72808,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72649,c_326]) ).
tff(c_72582,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_72578,c_314]) ).
tff(c_72654,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72649,c_338]) ).
tff(c_72793,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_72582,c_72654,c_71946,c_68148]) ).
tff(c_72794,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72793,c_356]) ).
tff(c_72811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72581,c_72808,c_72794,c_71711]) ).
tff(c_72812,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_72648]) ).
tff(c_72819,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72812,c_252]) ).
tff(c_72829,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_71941]) ).
tff(c_72830,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_72819,c_71952,c_72829]) ).
tff(c_72837,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72830,c_230]) ).
tff(c_72821,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72812,c_346]) ).
tff(c_72878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72581,c_72837,c_72821,c_71711]) ).
tff(c_72879,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_74679,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74589,c_72879]) ).
tff(c_74680,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_74679]) ).
tff(c_74658,plain,
op(e1,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_182]) ).
tff(c_74681,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_74680,c_74658]) ).
tff(c_74691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71952,c_74681]) ).
tff(c_74692,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_74679]) ).
tff(c_74701,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74692,c_234]) ).
tff(c_74770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74436,c_74701,c_72567]) ).
tff(c_74771,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_68086]) ).
tff(c_74842,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74800,c_74771]) ).
tff(c_74843,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_74842]) ).
tff(c_74850,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74843,c_266]) ).
tff(c_74848,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74843,c_264]) ).
tff(c_74801,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74794,c_230]) ).
tff(c_74811,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_74801,c_71711]) ).
tff(c_74812,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_74811]) ).
tff(c_74870,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74812,c_72879]) ).
tff(c_74871,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_74848,c_402,c_74870]) ).
tff(c_74877,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74871,c_242]) ).
tff(c_72882,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_72884,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_72882,c_216]) ).
tff(c_73451,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_71941]) ).
tff(c_73452,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_71952,c_73451]) ).
tff(c_73453,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_73452]) ).
tff(c_73456,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_73453,c_240]) ).
tff(c_73518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72884,c_73456,c_72567]) ).
tff(c_73519,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_73452]) ).
tff(c_73526,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73519,c_248]) ).
tff(c_73619,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_73526,c_72879]) ).
tff(c_73620,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_73619]) ).
tff(c_73605,plain,
op(e1,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_71944,c_182]) ).
tff(c_73621,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_73620,c_73605]) ).
tff(c_73631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71952,c_73621]) ).
tff(c_73632,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_73619]) ).
tff(c_73610,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_72882,c_154]) ).
tff(c_73634,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_73632,c_73632,c_73610]) ).
tff(c_73645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_73634]) ).
tff(c_73646,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_74896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74850,c_74877,c_74801,c_73646]) ).
tff(c_74897,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_74842]) ).
tff(c_74901,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74897,c_244]) ).
tff(c_74911,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74812,c_72879]) ).
tff(c_74912,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_74901,c_402,c_74911]) ).
tff(c_74916,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74912,c_262]) ).
tff(c_74905,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74897,c_246]) ).
tff(c_74951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74916,c_74905,c_74801,c_73646]) ).
tff(c_74952,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_74811]) ).
tff(c_74958,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74952,c_346]) ).
tff(c_74966,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74952,c_74771]) ).
tff(c_74967,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74958,c_406,c_74966]) ).
tff(c_74974,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74967,c_266]) ).
tff(c_74972,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74967,c_264]) ).
tff(c_74795,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74794,c_228]) ).
tff(c_75004,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_74972,c_74795,c_72879]) ).
tff(c_75010,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75004,c_242]) ).
tff(c_75034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74974,c_75010,c_74801,c_73646]) ).
tff(c_75035,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_74793]) ).
tff(c_75042,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75035,c_248]) ).
tff(c_75039,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75035,c_250]) ).
tff(c_75144,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_75039,c_73646]) ).
tff(c_75145,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_75144]) ).
tff(c_75148,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75145,c_266]) ).
tff(c_75041,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75035,c_252]) ).
tff(c_75149,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75145,c_262]) ).
tff(c_75171,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_75149,c_75042,c_72879]) ).
tff(c_75175,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75171,c_224]) ).
tff(c_75194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75148,c_75041,c_75175,c_74771]) ).
tff(c_75195,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_75144]) ).
tff(c_75204,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75195,c_222]) ).
tff(c_75209,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_75042,c_75204,c_72879]) ).
tff(c_75222,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_75209,c_71944,c_182]) ).
tff(c_75223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71952,c_75222]) ).
tff(c_75224,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_71943]) ).
tff(c_78634,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_75947,c_75224]) ).
tff(c_78635,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_78634]) ).
tff(c_78609,plain,
op(e4,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_78608,c_154]) ).
tff(c_78636,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_78635,c_78635,c_78609]) ).
tff(c_78647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_78636]) ).
tff(c_78648,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_78634]) ).
tff(c_78656,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78648,c_354]) ).
tff(c_77313,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_68148]) ).
tff(c_77321,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_77313,c_316]) ).
tff(c_77818,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_75947,c_75224]) ).
tff(c_77819,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_77818]) ).
tff(c_77821,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77819,c_202]) ).
tff(c_77859,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_75946]) ).
tff(c_77864,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77859,c_262]) ).
tff(c_77825,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77819,c_322]) ).
tff(c_75949,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75228,c_256]) ).
tff(c_77006,plain,
( ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_75949,c_59082]) ).
tff(c_77007,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_77006]) ).
tff(c_77164,plain,
op(e4,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_77007,c_206]) ).
tff(c_77017,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_77007,c_210]) ).
tff(c_75950,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75228,c_260]) ).
tff(c_77175,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_77017,c_75950,c_71941]) ).
tff(c_77176,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_77175]) ).
tff(c_77184,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77176,c_230]) ).
tff(c_77212,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_77184,c_71711]) ).
tff(c_77213,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_77212]) ).
tff(c_77166,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_77007,c_154]) ).
tff(c_77215,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_77213,c_77166]) ).
tff(c_77224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75947,c_77215]) ).
tff(c_77225,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_77212]) ).
tff(c_77231,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77225,c_342]) ).
tff(c_77249,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77007,c_75224]) ).
tff(c_77250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75947,c_402,c_77231,c_77249]) ).
tff(c_77251,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_77175]) ).
tff(c_77253,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77251,c_272]) ).
tff(c_77275,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_77164,c_75948,c_77253,c_68086]) ).
tff(c_77283,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77275,c_226]) ).
tff(c_77297,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77275,c_71711]) ).
tff(c_77298,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_77283,c_406,c_77297]) ).
tff(c_77300,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_77298,c_77166]) ).
tff(c_77309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75947,c_77300]) ).
tff(c_77310,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_77006]) ).
tff(c_77882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77864,c_77825,c_77310]) ).
tff(c_77883,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_75946]) ).
tff(c_77820,plain,
op(op(e3,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_77819,c_154]) ).
tff(c_77885,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_77883,c_77820]) ).
tff(c_77900,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_77885,c_77885,c_164]) ).
tff(c_77907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77821,c_77900]) ).
tff(c_77908,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_77818]) ).
tff(c_77915,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77908,c_342]) ).
tff(c_77923,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_77321,c_77915,c_71711]) ).
tff(c_77932,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77923,c_222]) ).
tff(c_77937,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_77932,c_75946]) ).
tff(c_77940,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77937,c_264]) ).
tff(c_77929,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77923,c_226]) ).
tff(c_77605,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_75948,c_68086]) ).
tff(c_77606,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_77605]) ).
tff(c_77636,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77606,c_75224]) ).
tff(c_77637,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_75947,c_404,c_77636]) ).
tff(c_77639,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77637,c_202]) ).
tff(c_77642,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77637,c_322]) ).
tff(c_77692,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_77642,c_77310]) ).
tff(c_77697,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77692,c_262]) ).
tff(c_77760,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_77697,c_75946]) ).
tff(c_77638,plain,
op(op(e3,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_77637,c_154]) ).
tff(c_77762,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_77760,c_77638]) ).
tff(c_77777,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_77762,c_77762,c_164]) ).
tff(c_77783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77639,c_77777]) ).
tff(c_77784,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_77605]) ).
tff(c_78004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77940,c_77929,c_77784]) ).
tff(c_78005,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_68148]) ).
tff(c_78665,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_78656,c_78005]) ).
tff(c_78666,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_78665]) ).
tff(c_78390,plain,
op(e0,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_198]) ).
tff(c_78667,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_78666,c_78666,c_78390]) ).
tff(c_78679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_78667]) ).
tff(c_78680,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_78665]) ).
tff(c_78690,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78680,c_336]) ).
tff(c_78828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78794,c_78690,c_77310]) ).
tff(c_78829,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_71711]) ).
tff(c_78859,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_78829]) ).
tff(c_78911,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78859,c_342]) ).
tff(c_78865,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78859,c_356]) ).
tff(c_78860,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_75947,c_75224]) ).
tff(c_78861,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_78860]) ).
tff(c_78885,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78861,c_334]) ).
tff(c_78891,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_78865,c_78885,c_78005]) ).
tff(c_78892,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_78891,c_78891,c_78390]) ).
tff(c_78904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_78892]) ).
tff(c_78905,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_78860]) ).
tff(c_78921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78911,c_78905]) ).
tff(c_78922,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_78829]) ).
tff(c_78931,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78922,c_336]) ).
tff(c_78989,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_78931,c_78005]) ).
tff(c_78990,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_78989]) ).
tff(c_78991,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_78990,c_78990,c_78390]) ).
tff(c_79003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_78991]) ).
tff(c_79004,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_78989]) ).
tff(c_78403,plain,
op(op(e0,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_75228,c_180]) ).
tff(c_79007,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_79004,c_78403]) ).
tff(c_79017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75948,c_79007]) ).
tff(c_79018,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_75227]) ).
tff(c_79612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79443,c_79482,c_79018]) ).
tff(c_79613,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_79477]) ).
tff(c_79618,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79613,c_346]) ).
tff(c_79303,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_68086]) ).
tff(c_79339,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79303,c_79029,c_204]) ).
tff(c_79340,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_68086]) ).
tff(c_79662,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79613,c_79340]) ).
tff(c_79663,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_79618,c_406,c_79662]) ).
tff(c_79668,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79663,c_272]) ).
tff(c_79614,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_79477]) ).
tff(c_79342,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_79363,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79342,c_79029,c_202]) ).
tff(c_79364,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_79627,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_79614,c_79364]) ).
tff(c_79628,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_79627]) ).
tff(c_79632,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79628,c_266]) ).
tff(c_79641,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79613,c_79340]) ).
tff(c_79642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79632,c_79618,c_406,c_79641]) ).
tff(c_79643,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_79627]) ).
tff(c_79647,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79643,c_250]) ).
tff(c_79366,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_71941]) ).
tff(c_79393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79366,c_79029,c_208]) ).
tff(c_79394,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_71941]) ).
tff(c_79702,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_79668,c_79647,c_79394]) ).
tff(c_79706,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79702,c_240]) ).
tff(c_79716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79443,c_79706,c_79018]) ).
tff(c_79718,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_83755,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_84041,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83755,c_75224]) ).
tff(c_84042,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_79718,c_402,c_84041]) ).
tff(c_84048,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84042,c_354]) ).
tff(c_84049,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84042,c_342]) ).
tff(c_84065,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_84049,c_71711]) ).
tff(c_84066,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_84065]) ).
tff(c_83756,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_83755,c_154]) ).
tff(c_84068,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_84066,c_83756]) ).
tff(c_84078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79718,c_84068]) ).
tff(c_84079,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_84065]) ).
tff(c_84088,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84079,c_336]) ).
tff(c_79719,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_68148]) ).
tff(c_79725,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_79719,c_316]) ).
tff(c_81280,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_79725,c_71711]) ).
tff(c_81281,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_81280]) ).
tff(c_81284,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81281,c_322]) ).
tff(c_81290,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81281,c_222]) ).
tff(c_79717,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_81299,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_81290,c_79717]) ).
tff(c_81300,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_81299]) ).
tff(c_81303,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81300,c_264]) ).
tff(c_81287,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81281,c_226]) ).
tff(c_79731,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_68086]) ).
tff(c_79735,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_79731,c_218]) ).
tff(c_80320,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_79735,c_79018]) ).
tff(c_80329,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80320,c_234]) ).
tff(c_80101,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_79725,c_71711]) ).
tff(c_80102,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_80101]) ).
tff(c_80105,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80102,c_322]) ).
tff(c_80120,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79731,c_75224]) ).
tff(c_80121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79718,c_80105,c_404,c_80120]) ).
tff(c_80123,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_80101]) ).
tff(c_79793,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_79819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79793,c_79731,c_206]) ).
tff(c_79820,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_80168,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_80123,c_79820]) ).
tff(c_80169,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_80168]) ).
tff(c_80225,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_79735,c_79018]) ).
tff(c_80234,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80225,c_234]) ).
tff(c_80177,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80169,c_270]) ).
tff(c_79741,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_71941]) ).
tff(c_79790,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79731,c_79741,c_212]) ).
tff(c_79791,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_71941]) ).
tff(c_80197,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_80177,c_79791]) ).
tff(c_80198,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_80197]) ).
tff(c_80204,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80198,c_248]) ).
tff(c_79917,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_79717]) ).
tff(c_79921,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79917,c_268]) ).
tff(c_79919,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79917,c_262]) ).
tff(c_79938,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_79725,c_71711]) ).
tff(c_79939,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_79938]) ).
tff(c_79942,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79939,c_322]) ).
tff(c_79957,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79731,c_75224]) ).
tff(c_79958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79718,c_79942,c_404,c_79957]) ).
tff(c_79960,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_79938]) ).
tff(c_80006,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_79919,c_79960,c_79820]) ).
tff(c_80011,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80006,c_250]) ).
tff(c_80031,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_79921,c_80011,c_79791]) ).
tff(c_80035,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80031,c_240]) ).
tff(c_80064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79735,c_80035,c_79018]) ).
tff(c_80065,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_79717]) ).
tff(c_80262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80234,c_80204,c_80065]) ).
tff(c_80263,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_80197]) ).
tff(c_80172,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_80169,c_168]) ).
tff(c_80265,plain,
op(e1,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_80263,c_80172]) ).
tff(c_80276,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_80169,c_80265]) ).
tff(c_80278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_80276]) ).
tff(c_80279,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_80168]) ).
tff(c_80286,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80279,c_242]) ).
tff(c_80361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80329,c_80286,c_80065]) ).
tff(c_80362,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_68086]) ).
tff(c_81321,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_81303,c_81287,c_80362]) ).
tff(c_81325,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81321,c_344]) ).
tff(c_81340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79718,c_81284,c_81325,c_75224]) ).
tff(c_81341,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_81299]) ).
tff(c_81343,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81341,c_244]) ).
tff(c_81387,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_79718,c_81284,c_75224]) ).
tff(c_81382,plain,
op(op(e4,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_81341,c_172]) ).
tff(c_81388,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_81387,c_81382]) ).
tff(c_81399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81343,c_81388]) ).
tff(c_81400,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_81280]) ).
tff(c_81405,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81400,c_346]) ).
tff(c_81464,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81400,c_80362]) ).
tff(c_81465,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_81405,c_406,c_81464]) ).
tff(c_81473,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81465,c_266]) ).
tff(c_81401,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_81280]) ).
tff(c_80999,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_79725,c_71711]) ).
tff(c_81000,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_80999]) ).
tff(c_81008,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81000,c_222]) ).
tff(c_81022,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_81008,c_79717]) ).
tff(c_81023,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_81022]) ).
tff(c_81026,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81023,c_264]) ).
tff(c_81005,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81000,c_226]) ).
tff(c_81044,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_81026,c_81005,c_80362]) ).
tff(c_81048,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81044,c_344]) ).
tff(c_80967,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_81066,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80967,c_75224]) ).
tff(c_81067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79718,c_402,c_81048,c_81066]) ).
tff(c_81068,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_81022]) ).
tff(c_81070,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81068,c_244]) ).
tff(c_81083,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_81070,c_81005,c_80362]) ).
tff(c_81086,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81083,c_272]) ).
tff(c_81074,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81068,c_248]) ).
tff(c_81006,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81000,c_230]) ).
tff(c_80366,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_71941]) ).
tff(c_80372,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_80366,c_220]) ).
tff(c_80532,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_79718,c_75224]) ).
tff(c_80533,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_80532]) ).
tff(c_80539,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80533,c_322]) ).
tff(c_80555,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_79725,c_80539,c_71711]) ).
tff(c_80563,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80555,c_226]) ).
tff(c_80559,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80555,c_346]) ).
tff(c_80632,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80555,c_80362]) ).
tff(c_80633,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_80559,c_406,c_80632]) ).
tff(c_80641,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80633,c_266]) ).
tff(c_80516,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_59082]) ).
tff(c_80528,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80516,c_80366,c_210]) ).
tff(c_80529,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_80665,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_80641,c_80539,c_80529]) ).
tff(c_80722,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_80665,c_80555,c_166]) ).
tff(c_80723,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_80722,c_80722,c_176]) ).
tff(c_80732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80563,c_80723]) ).
tff(c_80733,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_80532]) ).
tff(c_80739,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80733,c_342]) ).
tff(c_80773,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_79725,c_80739,c_71711]) ).
tff(c_80777,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80773,c_236]) ).
tff(c_80833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80372,c_80777,c_79018]) ).
tff(c_80834,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_71941]) ).
tff(c_81144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81086,c_81074,c_81006,c_80834]) ).
tff(c_81145,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_80999]) ).
tff(c_81148,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81145,c_342]) ).
tff(c_81242,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80967,c_75224]) ).
tff(c_81243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79718,c_402,c_81148,c_81242]) ).
tff(c_81244,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_81524,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_81473,c_81401,c_81244]) ).
tff(c_81515,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_81400,c_174]) ).
tff(c_81525,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_81524,c_81515]) ).
tff(c_81536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81405,c_81525]) ).
tff(c_81537,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_68148]) ).
tff(c_84118,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_84048,c_84088,c_81537]) ).
tff(c_83884,plain,
op(e0,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_198]) ).
tff(c_84119,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_84118,c_84118,c_83884]) ).
tff(c_84131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_84119]) ).
tff(c_84132,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_59082]) ).
tff(c_84167,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_84132]) ).
tff(c_84171,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84167,c_262]) ).
tff(c_84174,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84167,c_270]) ).
tff(c_82161,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_71941]) ).
tff(c_82173,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_82161,c_210]) ).
tff(c_82426,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_82173,c_59082]) ).
tff(c_82427,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_82426]) ).
tff(c_82429,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82427,c_322]) ).
tff(c_82459,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_79718,c_82429,c_75224]) ).
tff(c_82466,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82459,c_344]) ).
tff(c_82432,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82427,c_226]) ).
tff(c_81539,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_68086]) ).
tff(c_82081,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81539,c_75224]) ).
tff(c_82082,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_79718,c_404,c_82081]) ).
tff(c_82089,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82082,c_322]) ).
tff(c_82104,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_82089,c_71711]) ).
tff(c_82105,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_82104]) ).
tff(c_82083,plain,
op(op(e3,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_82082,c_154]) ).
tff(c_82106,plain,
op(e4,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_82105,c_82083]) ).
tff(c_82115,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_82082,c_82106]) ).
tff(c_82117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_82115]) ).
tff(c_82118,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_82104]) ).
tff(c_82121,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82118,c_356]) ).
tff(c_82090,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82082,c_334]) ).
tff(c_82145,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_82121,c_82090,c_81537]) ).
tff(c_82072,plain,
op(op(e0,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_190]) ).
tff(c_82146,plain,
op(e1,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_82145,c_82072]) ).
tff(c_82156,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_82146]) ).
tff(c_82158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_82156]) ).
tff(c_82159,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_68086]) ).
tff(c_82440,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_82432,c_82159]) ).
tff(c_82441,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_82440]) ).
tff(c_82444,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82441,c_264]) ).
tff(c_82435,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82427,c_222]) ).
tff(c_82523,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_82444,c_82435,c_79717]) ).
tff(c_82545,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_82523,c_82459,c_172]) ).
tff(c_82546,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82466,c_82545]) ).
tff(c_82547,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_82440]) ).
tff(c_82553,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82547,c_358]) ).
tff(c_82434,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82427,c_336]) ).
tff(c_82567,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_82553,c_82434,c_81537]) ).
tff(c_82585,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_82567,c_50477,c_190]) ).
tff(c_82586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_82585]) ).
tff(c_82588,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_82426]) ).
tff(c_82168,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_82161,c_220]) ).
tff(c_83200,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_82168,c_79018]) ).
tff(c_83064,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_79718,c_75224]) ).
tff(c_83065,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_83064]) ).
tff(c_83073,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83065,c_334]) ).
tff(c_83087,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_82588,c_71711]) ).
tff(c_83088,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_83087]) ).
tff(c_83066,plain,
op(op(e3,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_83065,c_154]) ).
tff(c_83089,plain,
op(e4,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_83088,c_83066]) ).
tff(c_83098,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_83065,c_83089]) ).
tff(c_83100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_83098]) ).
tff(c_83101,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_83087]) ).
tff(c_83106,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83101,c_356]) ).
tff(c_82981,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_81537]) ).
tff(c_82972,plain,
op(op(e0,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_190]) ).
tff(c_82982,plain,
op(e1,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_82981,c_82972]) ).
tff(c_82992,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_82982]) ).
tff(c_82994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_82992]) ).
tff(c_82995,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_81537]) ).
tff(c_83117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83073,c_83106,c_82995]) ).
tff(c_83118,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_83064]) ).
tff(c_83125,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83118,c_354]) ).
tff(c_83173,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_83125,c_82995]) ).
tff(c_83191,plain,
op(e3,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_83173,c_170]) ).
tff(c_83201,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_83200,c_83191]) ).
tff(c_83211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82588,c_83201]) ).
tff(c_83212,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_71941]) ).
tff(c_84185,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_84174,c_83212]) ).
tff(c_84186,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_84185]) ).
tff(c_84192,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84186,c_248]) ).
tff(c_84172,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84167,c_266]) ).
tff(c_84193,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84186,c_252]) ).
tff(c_84205,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_84172,c_84193,c_82159]) ).
tff(c_84214,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84205,c_226]) ).
tff(c_84289,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84205,c_71711]) ).
tff(c_84290,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_84214,c_406,c_84289]) ).
tff(c_84325,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84290,c_79717]) ).
tff(c_84326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84171,c_84192,c_402,c_84325]) ).
tff(c_84327,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_84185]) ).
tff(c_84168,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_84167,c_168]) ).
tff(c_84329,plain,
op(e1,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_84327,c_84168]) ).
tff(c_84339,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_84167,c_84329]) ).
tff(c_84341,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_84339]) ).
tff(c_84342,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_84132]) ).
tff(c_84962,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_84342]) ).
tff(c_84965,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84962,c_322]) ).
tff(c_84970,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84962,c_336]) ).
tff(c_84976,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_81537]) ).
tff(c_84134,plain,
op(e0,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_50477,c_198]) ).
tff(c_84977,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_84976,c_84976,c_84134]) ).
tff(c_84989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_84977]) ).
tff(c_84990,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_81537]) ).
tff(c_85057,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_84970,c_84990]) ).
tff(c_85060,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85057,c_354]) ).
tff(c_85073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79718,c_84965,c_85060,c_75224]) ).
tff(c_85074,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_84342]) ).
tff(c_85083,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85074,c_246]) ).
tff(c_84372,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_83212]) ).
tff(c_84378,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84372,c_372]) ).
tff(c_84381,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84372,c_380]) ).
tff(c_84374,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84372,c_272]) ).
tff(c_84402,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_84374,c_82159]) ).
tff(c_84403,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_84402]) ).
tff(c_84409,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84403,c_358]) ).
tff(c_84411,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84403,c_246]) ).
tff(c_84417,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_84411,c_84342]) ).
tff(c_84425,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84417,c_336]) ).
tff(c_84458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84381,c_84409,c_84425,c_81537]) ).
tff(c_84460,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_84402]) ).
tff(c_83214,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_50581]) ).
tff(c_83578,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83214,c_79717]) ).
tff(c_83579,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_83578]) ).
tff(c_83580,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_83579]) ).
tff(c_83586,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83580,c_264]) ).
tff(c_83221,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_83214,c_306]) ).
tff(c_83607,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_83221,c_71711]) ).
tff(c_83608,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_83607]) ).
tff(c_83611,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83608,c_322]) ).
tff(c_83622,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_79718,c_83611,c_75224]) ).
tff(c_83529,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_83214,c_156]) ).
tff(c_83623,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_83622,c_83622,c_83529]) ).
tff(c_83635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_83623]) ).
tff(c_83636,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_83607]) ).
tff(c_83643,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83636,c_346]) ).
tff(c_83672,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83636,c_82159]) ).
tff(c_83673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83586,c_83643,c_406,c_83672]) ).
tff(c_83674,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_83579]) ).
tff(c_83683,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83674,c_222]) ).
tff(c_83690,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83674,c_71711]) ).
tff(c_83691,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_83683,c_83690]) ).
tff(c_83696,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83691,c_342]) ).
tff(c_83714,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_79718,c_83696,c_75224]) ).
tff(c_83676,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_83674,c_162]) ).
tff(c_83715,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_83714,c_83676]) ).
tff(c_83727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83683,c_83715]) ).
tff(c_83728,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_50581]) ).
tff(c_84475,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_84378,c_84460,c_83728]) ).
tff(c_84481,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84475,c_246]) ).
tff(c_84459,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_84402]) ).
tff(c_84461,plain,
op(e3,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_84459,c_174]) ).
tff(c_84552,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_84475,c_84461]) ).
tff(c_84555,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_84552,c_84552,c_164]) ).
tff(c_84562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84481,c_84555]) ).
tff(c_84564,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_83212]) ).
tff(c_84569,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_83728]) ).
tff(c_84579,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84569,c_378]) ).
tff(c_84596,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_84579,c_81537]) ).
tff(c_84597,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_84596]) ).
tff(c_84600,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84597,c_354]) ).
tff(c_84676,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_79718,c_84600,c_75224]) ).
tff(c_84601,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84597,c_356]) ).
tff(c_84644,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_84601,c_71711]) ).
tff(c_84645,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_84644]) ).
tff(c_84648,plain,
op(e4,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_84645,c_154]) ).
tff(c_84677,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_84676,c_84676,c_84648]) ).
tff(c_84689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_84677]) ).
tff(c_84690,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_84644]) ).
tff(c_84693,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84690,c_322]) ).
tff(c_84704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79718,c_84693,c_84600,c_75224]) ).
tff(c_84705,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_84596]) ).
tff(c_84716,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84705,c_334]) ).
tff(c_84911,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_79718,c_84716,c_75224]) ).
tff(c_84920,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84911,c_344]) ).
tff(c_84563,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_83212]) ).
tff(c_84871,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84569,c_84563]) ).
tff(c_84872,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_84871]) ).
tff(c_84880,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84872,c_232]) ).
tff(c_84935,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_84920,c_84880,c_82159]) ).
tff(c_84570,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_84569,c_186]) ).
tff(c_84938,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_84935,c_84570]) ).
tff(c_84947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84564,c_84938]) ).
tff(c_84948,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_83728]) ).
tff(c_85114,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85074,c_84948]) ).
tff(c_85115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_85083,c_85114]) ).
tff(c_85116,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_432]) ).
tff(c_187654,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_187647,c_187641,c_186859,c_85116]) ).
tff(c_187659,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187654,c_332]) ).
tff(c_186868,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_186867,c_358]) ).
tff(c_130111,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_430]) ).
tff(c_139026,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_139052,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_139026,c_214]) ).
tff(c_130293,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_130441,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_290]) ).
tff(c_130443,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130441,c_442]) ).
tff(c_130444,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_130443]) ).
tff(c_130752,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130444,c_272]) ).
tff(c_130749,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130444,c_268]) ).
tff(c_130754,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_130749,c_50475]) ).
tff(c_130755,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_130754]) ).
tff(c_130789,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_130755,c_214]) ).
tff(c_130758,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_130755,c_314]) ).
tff(c_106433,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_85118,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_106442,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106433,c_85118,c_292]) ).
tff(c_106443,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_128921,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_128927,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_128921,c_220]) ).
tff(c_106316,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( e2 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_434]) ).
tff(c_106317,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_106316]) ).
tff(c_106318,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_106317]) ).
tff(c_106430,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106318,c_85118,c_298]) ).
tff(c_106432,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_106317]) ).
tff(c_106446,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106432,c_444]) ).
tff(c_106447,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_106446]) ).
tff(c_274,plain,
op(e1,e4) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_111544,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_274]) ).
tff(c_111401,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_110847,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_110850,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_110847,c_314]) ).
tff(c_110849,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_110847,c_308]) ).
tff(c_110857,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_110849,c_85116]) ).
tff(c_110858,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_110857]) ).
tff(c_110860,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110858,c_340]) ).
tff(c_110848,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_110847,c_302]) ).
tff(c_103937,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_104013,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_103937,c_214]) ).
tff(c_95560,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_298]) ).
tff(c_95486,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_101105,plain,
( ( op(e4,e0) = e4 )
| ( e3 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_444]) ).
tff(c_101106,plain,
( ( op(e4,e0) = e4 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_95560,c_416,c_101105]) ).
tff(c_101107,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_101106]) ).
tff(c_101733,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101107,c_274]) ).
tff(c_101495,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_101499,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_101495,c_314]) ).
tff(c_97853,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_98034,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_97853,c_214]) ).
tff(c_97477,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( e2 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_434]) ).
tff(c_97478,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_95560,c_418,c_97477]) ).
tff(c_97479,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_97478]) ).
tff(c_97482,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97479,c_300]) ).
tff(c_97490,plain,
( ( op(e4,e0) = e4 )
| ( e3 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_444]) ).
tff(c_97491,plain,
( ( op(e4,e0) = e4 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_95560,c_416,c_97490]) ).
tff(c_97492,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_97491]) ).
tff(c_97809,plain,
op(e1,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_97479,c_97492,c_198]) ).
tff(c_97838,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_97809,c_97809,c_188]) ).
tff(c_97839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97482,c_97838]) ).
tff(c_97840,plain,
( ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_97491]) ).
tff(c_98157,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_98034,c_97840]) ).
tff(c_98102,plain,
op(e0,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_180]) ).
tff(c_98158,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_98157,c_98102]) ).
tff(c_98168,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_98158]) ).
tff(c_98170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_98168]) ).
tff(c_98172,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_95487,plain,
op(e4,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_382]) ).
tff(c_95562,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_95487,c_426]) ).
tff(c_95563,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_95562]) ).
tff(c_97160,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95563,c_368]) ).
tff(c_96273,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_95564,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95563,c_374]) ).
tff(c_95572,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( e2 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_434]) ).
tff(c_95573,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_95560,c_95564,c_418,c_95572]) ).
tff(c_95574,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_95573]) ).
tff(c_95815,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_95574,c_95486,c_95574,c_194]) ).
tff(c_95816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_95815]) ).
tff(c_95817,plain,
op(e0,e4) = e4,
inference(splitRight,[status(thm)],[c_95573]) ).
tff(c_320,plain,
op(e1,e4) != op(e0,e4),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_96340,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96273,c_95817,c_320]) ).
tff(c_96341,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_97314,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_97160,c_96341]) ).
tff(c_97315,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_97314]) ).
tff(c_97317,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97315,c_352]) ).
tff(c_96272,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95563,c_364]) ).
tff(c_94807,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_358]) ).
tff(c_85123,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_430]) ).
tff(c_95403,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_85123,c_180]) ).
tff(c_95482,plain,
op(e2,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_95403,c_95403,c_200]) ).
tff(c_95483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94807,c_95482]) ).
tff(c_95484,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_430]) ).
tff(c_96596,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_96272,c_95484]) ).
tff(c_96597,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_96596]) ).
tff(c_96636,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96597,c_95817,c_318]) ).
tff(c_96637,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_96596]) ).
tff(c_97332,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_97317,c_96637]) ).
tff(c_97334,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97332,c_326]) ).
tff(c_95493,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_95502,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95493,c_85118,c_286]) ).
tff(c_95503,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_97067,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_95503]) ).
tff(c_97069,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_97067,c_216]) ).
tff(c_95829,plain,
( ( op(e4,e0) = e4 )
| ( e3 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_444]) ).
tff(c_95830,plain,
( ( op(e4,e0) = e4 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_95560,c_416,c_95829]) ).
tff(c_95831,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_95830]) ).
tff(c_95839,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95831,c_276]) ).
tff(c_95820,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_95817,c_314]) ).
tff(c_95854,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95831,c_274]) ).
tff(c_95926,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_95820,c_95854,c_50475]) ).
tff(c_95927,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_95926]) ).
tff(c_95932,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95927,c_228]) ).
tff(c_95844,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95831,c_280]) ).
tff(c_95505,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_95556,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95505,c_85118,c_292]) ).
tff(c_95557,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_95949,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95563,c_95557]) ).
tff(c_95950,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_95932,c_95844,c_95949]) ).
tff(c_95953,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95950,c_252]) ).
tff(c_95964,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95950,c_95484]) ).
tff(c_95965,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_95953,c_412,c_95964]) ).
tff(c_95966,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_95965]) ).
tff(c_95987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95966,c_95817,c_318]) ).
tff(c_95988,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_95965]) ).
tff(c_95995,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95988,c_332]) ).
tff(c_95855,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_95844,c_85116]) ).
tff(c_95856,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_95855]) ).
tff(c_95923,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95856,c_95817,c_320]) ).
tff(c_95924,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_95855]) ).
tff(c_96013,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_95995,c_95924]) ).
tff(c_96029,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_96013,c_95950,c_178]) ).
tff(c_96030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95953,c_96029]) ).
tff(c_96031,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_95926]) ).
tff(c_96035,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96031,c_244]) ).
tff(c_95853,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95563,c_364]) ).
tff(c_96069,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96031,c_95484]) ).
tff(c_96070,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_404,c_96035,c_95853,c_96069]) ).
tff(c_96076,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96070,c_332]) ).
tff(c_96095,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_96076,c_95924]) ).
tff(c_96098,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96095,c_266]) ).
tff(c_96033,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96031,c_242]) ).
tff(c_96044,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_96033,c_95839,c_95503]) ).
tff(c_96045,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_96044]) ).
tff(c_96090,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_96045,c_328]) ).
tff(c_34,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_96229,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_95839,c_96098,c_96076,c_96090,c_34]) ).
tff(c_96034,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96031,c_248]) ).
tff(c_96055,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95563,c_95557]) ).
tff(c_96056,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_96034,c_95844,c_96055]) ).
tff(c_96220,plain,
op(e3,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_96056,c_184]) ).
tff(c_96230,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_96229,c_96220]) ).
tff(c_96240,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_96230]) ).
tff(c_96242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_96240]) ).
tff(c_96243,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_96044]) ).
tff(c_96246,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96243,c_230]) ).
tff(c_96255,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95563,c_95557]) ).
tff(c_96256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_96246,c_96034,c_95844,c_96255]) ).
tff(c_96257,plain,
( ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_95830]) ).
tff(c_97145,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_97069,c_96257]) ).
tff(c_97120,plain,
op(op(e2,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_196]) ).
tff(c_97146,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_97145,c_97145,c_97120]) ).
tff(c_97156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_97146]) ).
tff(c_97157,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_95503]) ).
tff(c_97165,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_97157]) ).
tff(c_97168,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97165,c_262]) ).
tff(c_96344,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_95820,c_50475]) ).
tff(c_96345,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_96344]) ).
tff(c_96350,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96345,c_228]) ).
tff(c_96485,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95563,c_95557]) ).
tff(c_96486,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_96350,c_96485]) ).
tff(c_96487,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_96486]) ).
tff(c_96491,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96487,c_252]) ).
tff(c_96535,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95563,c_368]) ).
tff(c_96500,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96487,c_95484]) ).
tff(c_96501,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_96491,c_412,c_96500]) ).
tff(c_96502,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_96501]) ).
tff(c_96522,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96502,c_95817,c_318]) ).
tff(c_96523,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_96501]) ).
tff(c_96529,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96523,c_332]) ).
tff(c_96546,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_96535,c_96529,c_96341]) ).
tff(c_96564,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_96546,c_96487,c_178]) ).
tff(c_96565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96491,c_96564]) ).
tff(c_96566,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_96486]) ).
tff(c_96593,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96566,c_95563,c_368]) ).
tff(c_96594,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_96344]) ).
tff(c_97244,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_97168,c_96594]) ).
tff(c_97248,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97244,c_254]) ).
tff(c_97280,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_97248,c_96257]) ).
tff(c_97298,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_97280,c_95817,c_192]) ).
tff(c_97310,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_97298,c_97280,c_95817,c_160]) ).
tff(c_97311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_97310]) ).
tff(c_97312,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_97157]) ).
tff(c_97390,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97332,c_97312]) ).
tff(c_97391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97334,c_406,c_97390]) ).
tff(c_97392,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_97314]) ).
tff(c_97396,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97392,c_330]) ).
tff(c_97402,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97392,c_332]) ).
tff(c_97407,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_97402,c_96637]) ).
tff(c_97415,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97407,c_246]) ).
tff(c_97473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97396,c_97415,c_97312]) ).
tff(c_97474,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_95562]) ).
tff(c_100580,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_98172,c_97474]) ).
tff(c_100581,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_100580]) ).
tff(c_100587,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100581,c_324]) ).
tff(c_99697,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_98172,c_97474]) ).
tff(c_99698,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_99697]) ).
tff(c_99703,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99698,c_322]) ).
tff(c_99480,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_95503]) ).
tff(c_99522,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99480,c_97474]) ).
tff(c_99523,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_98172,c_402,c_99522]) ).
tff(c_99528,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99523,c_348]) ).
tff(c_98912,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97479,c_378]) ).
tff(c_99042,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_98172,c_97474]) ).
tff(c_99043,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_99042]) ).
tff(c_99048,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99043,c_322]) ).
tff(c_98173,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97479,c_380]) ).
tff(c_98175,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_98173,c_85116]) ).
tff(c_98176,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_98175]) ).
tff(c_98171,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_99062,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98176,c_98171]) ).
tff(c_99063,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_99062]) ).
tff(c_99064,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_99063]) ).
tff(c_99068,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99064,c_242]) ).
tff(c_98754,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_95503]) ).
tff(c_98756,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_98754,c_216]) ).
tff(c_98844,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98176,c_98171]) ).
tff(c_98845,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_98844]) ).
tff(c_98846,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_98845]) ).
tff(c_98848,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98846,c_254]) ).
tff(c_98894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98756,c_98848,c_97840]) ).
tff(c_98895,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_98845]) ).
tff(c_98839,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_98754,c_154]) ).
tff(c_98897,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_98895,c_98895,c_98839]) ).
tff(c_98908,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_98897]) ).
tff(c_98909,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_95503]) ).
tff(c_99082,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_99068,c_99048,c_98909]) ).
tff(c_99069,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99064,c_248]) ).
tff(c_98914,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_98173,c_95557]) ).
tff(c_98915,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_98914]) ).
tff(c_99014,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_98915,c_98176,c_158]) ).
tff(c_99015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98172,c_99014]) ).
tff(c_99016,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_98914]) ).
tff(c_99163,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_99069,c_99016]) ).
tff(c_99153,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_99082,c_168]) ).
tff(c_99164,plain,
op(e1,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_99163,c_99153]) ).
tff(c_99173,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_99082,c_99164]) ).
tff(c_99175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_99173]) ).
tff(c_99176,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_99063]) ).
tff(c_99044,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_99043,c_162]) ).
tff(c_99178,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_99176,c_99044]) ).
tff(c_99188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99048,c_99178]) ).
tff(c_99189,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_99042]) ).
tff(c_99196,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99189,c_344]) ).
tff(c_98408,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_98172,c_97474]) ).
tff(c_98409,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_98408]) ).
tff(c_98182,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_98176,c_312]) ).
tff(c_98189,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_98182,c_95484]) ).
tff(c_98190,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_98189]) ).
tff(c_98425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98409,c_98190,c_324]) ).
tff(c_98426,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_98408]) ).
tff(c_98428,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98176,c_98171]) ).
tff(c_98429,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_98428]) ).
tff(c_98430,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_98429]) ).
tff(c_98519,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_98426,c_98430,c_156]) ).
tff(c_98546,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_98519,c_98426,c_98430,c_172]) ).
tff(c_98547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_98546]) ).
tff(c_98548,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_98429]) ).
tff(c_98578,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98548,c_228]) ).
tff(c_98202,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_98173,c_95557]) ).
tff(c_98203,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_98202]) ).
tff(c_98281,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_98176,c_98203,c_158]) ).
tff(c_98282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98172,c_98281]) ).
tff(c_98283,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_98202]) ).
tff(c_98586,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_98283]) ).
tff(c_98589,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98586,c_260]) ).
tff(c_95485,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_430]) ).
tff(c_97852,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_358]) ).
tff(c_110,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_98736,plain,
( ( op(e2,e4) = e0 )
| ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98586,c_98190,c_110]) ).
tff(c_98737,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_95485,c_418,c_97852,c_416,c_98736]) ).
tff(c_98717,plain,
op(e2,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_98426,c_172]) ).
tff(c_98738,plain,
op(e2,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_98737,c_98717]) ).
tff(c_98748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98589,c_98738]) ).
tff(c_98749,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_98283]) ).
tff(c_98751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98578,c_98749]) ).
tff(c_98752,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_98189]) ).
tff(c_99350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98912,c_99196,c_98752]) ).
tff(c_99351,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_98175]) ).
tff(c_99582,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_99528,c_99351]) ).
tff(c_99587,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99582,c_270]) ).
tff(c_99484,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_99480,c_216]) ).
tff(c_99371,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_98173,c_95557]) ).
tff(c_99372,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_99371]) ).
tff(c_99377,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_99372,c_220]) ).
tff(c_99466,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_99377,c_97840]) ).
tff(c_99425,plain,
op(op(e2,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_196]) ).
tff(c_99467,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_99466,c_99466,c_99425]) ).
tff(c_99477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_99467]) ).
tff(c_99478,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_99371]) ).
tff(c_99609,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_99478]) ).
tff(c_99613,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99609,c_260]) ).
tff(c_99641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99484,c_99613,c_97840]) ).
tff(c_99642,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_99478]) ).
tff(c_99604,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_99582,c_184]) ).
tff(c_99644,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_99642,c_99604]) ).
tff(c_99657,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_99644,c_99644,c_164]) ).
tff(c_99666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99587,c_99657]) ).
tff(c_99667,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_95503]) ).
tff(c_99713,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_99703,c_99667]) ).
tff(c_99714,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_99713]) ).
tff(c_99717,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99714,c_262]) ).
tff(c_99353,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97479,c_378]) ).
tff(c_99357,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_99353,c_95484]) ).
tff(c_99358,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_99357]) ).
tff(c_99745,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99358,c_98171]) ).
tff(c_99746,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_99717,c_404,c_99745]) ).
tff(c_99699,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_99698,c_162]) ).
tff(c_99748,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_99746,c_99699]) ).
tff(c_99758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99703,c_99748]) ).
tff(c_99759,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_99713]) ).
tff(c_99766,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99759,c_338]) ).
tff(c_99765,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99759,c_256]) ).
tff(c_99369,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_99358,c_254]) ).
tff(c_30,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_99935,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_95485,c_99765,c_99369,c_30]) ).
tff(c_99936,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_99935]) ).
tff(c_99834,plain,
op(e0,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_180]) ).
tff(c_99937,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_99936,c_99834]) ).
tff(c_99946,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_97479,c_99937]) ).
tff(c_99948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_99946]) ).
tff(c_99949,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_99935]) ).
tff(c_99952,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_99949,c_99834]) ).
tff(c_99962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99766,c_99952]) ).
tff(c_99963,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_99697]) ).
tff(c_100061,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_99963,c_99963,c_99358,c_156]) ).
tff(c_100062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_100061]) ).
tff(c_100063,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_99357]) ).
tff(c_100667,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_100587,c_100063]) ).
tff(c_100672,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100667,c_252]) ).
tff(c_100588,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100581,c_322]) ).
tff(c_100458,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_95503]) ).
tff(c_100494,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100458,c_97474]) ).
tff(c_100495,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_98172,c_402,c_100494]) ).
tff(c_100502,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100495,c_344]) ).
tff(c_100501,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100495,c_348]) ).
tff(c_100549,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_100501,c_99351]) ).
tff(c_100557,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100549,c_332]) ).
tff(c_100576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100502,c_100557,c_100063]) ).
tff(c_100577,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_95503]) ).
tff(c_100595,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_100588,c_100577]) ).
tff(c_100596,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_100595]) ).
tff(c_100599,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_100596,c_262]) ).
tff(c_100628,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_100599,c_98171]) ).
tff(c_100629,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_100628]) ).
tff(c_100635,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100629,c_244]) ).
tff(c_100643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100635,c_100587,c_100063]) ).
tff(c_100644,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_100628]) ).
tff(c_100650,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100644,c_228]) ).
tff(c_100130,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_98172,c_97474]) ).
tff(c_100131,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_100130]) ).
tff(c_100134,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100131,c_322]) ).
tff(c_100076,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_95503]) ).
tff(c_100065,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_98173,c_95557]) ).
tff(c_100066,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_100065]) ).
tff(c_100088,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100076,c_100066,c_210]) ).
tff(c_100089,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_95503]) ).
tff(c_100150,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_100134,c_100089]) ).
tff(c_100151,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_100150]) ).
tff(c_100154,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_100151,c_262]) ).
tff(c_100182,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_100154,c_98171]) ).
tff(c_100183,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_100182]) ).
tff(c_100190,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100183,c_244]) ).
tff(c_100135,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100131,c_324]) ).
tff(c_100198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100190,c_100135,c_100063]) ).
tff(c_100199,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_100182]) ).
tff(c_100133,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_100131,c_162]) ).
tff(c_100202,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_100199,c_100133]) ).
tff(c_100212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100134,c_100202]) ).
tff(c_100213,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_100150]) ).
tff(c_100222,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100213,c_246]) ).
tff(c_100250,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100213,c_100063]) ).
tff(c_100251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100222,c_406,c_100250]) ).
tff(c_100252,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_100130]) ).
tff(c_100259,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100252,c_348]) ).
tff(c_100260,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100252,c_344]) ).
tff(c_100432,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_100260,c_100063]) ).
tff(c_100442,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100432,c_332]) ).
tff(c_100455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100259,c_100442,c_99351]) ).
tff(c_100456,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_100065]) ).
tff(c_100694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100672,c_100650,c_100456]) ).
tff(c_100695,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_100595]) ).
tff(c_100703,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100695,c_246]) ).
tff(c_100744,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100695,c_100063]) ).
tff(c_100745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100703,c_406,c_100744]) ).
tff(c_100746,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_100580]) ).
tff(c_100753,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100746,c_344]) ).
tff(c_100752,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100746,c_348]) ).
tff(c_101074,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_100752,c_99351]) ).
tff(c_101083,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101074,c_332]) ).
tff(c_101101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100753,c_101083,c_100063]) ).
tff(c_101102,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_97478]) ).
tff(c_101716,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101499,c_101102]) ).
tff(c_101671,plain,
op(e0,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_194]) ).
tff(c_101717,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_101716,c_101716,c_101671]) ).
tff(c_101728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_101717]) ).
tff(c_101729,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_103382,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101733,c_101729]) ).
tff(c_103383,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_103382]) ).
tff(c_103387,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103383,c_248]) ).
tff(c_103389,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103383,c_242]) ).
tff(c_101123,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101107,c_276]) ).
tff(c_102791,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_101123,c_95503]) ).
tff(c_102792,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_102791]) ).
tff(c_101730,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_102844,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102792,c_97474]) ).
tff(c_102845,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_101730,c_402,c_102844]) ).
tff(c_102829,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101733,c_101729]) ).
tff(c_102830,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_102829]) ).
tff(c_102863,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_102845,c_102830,c_156]) ).
tff(c_102900,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_102863,c_102845,c_102830,c_172]) ).
tff(c_102901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_102900]) ).
tff(c_102902,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_102829]) ).
tff(c_103008,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_102792,c_102902,c_102792,c_162]) ).
tff(c_103009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_103008]) ).
tff(c_103010,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_102791]) ).
tff(c_103410,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_103389,c_103010]) ).
tff(c_103415,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103410,c_230]) ).
tff(c_102453,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_101730,c_97474]) ).
tff(c_102454,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_102453]) ).
tff(c_102461,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102454,c_202]) ).
tff(c_102472,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101733,c_101729]) ).
tff(c_102473,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_102472]) ).
tff(c_102480,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102473,c_242]) ).
tff(c_102457,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102454,c_322]) ).
tff(c_102031,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_101123,c_95503]) ).
tff(c_102032,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_102031]) ).
tff(c_101121,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101107,c_280]) ).
tff(c_102019,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_101121,c_95557]) ).
tff(c_102020,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_102019]) ).
tff(c_102044,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102032,c_102020,c_210]) ).
tff(c_102045,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_102031]) ).
tff(c_102566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102480,c_102457,c_102045]) ).
tff(c_102567,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_102472]) ).
tff(c_102455,plain,
op(op(e3,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_102454,c_154]) ).
tff(c_102569,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_102567,c_102455]) ).
tff(c_102615,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_102569,c_102569,c_164]) ).
tff(c_102616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102461,c_102615]) ).
tff(c_102617,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_102453]) ).
tff(c_102626,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102617,c_344]) ).
tff(c_102624,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102617,c_348]) ).
tff(c_102632,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101733,c_101729]) ).
tff(c_102633,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_102632]) ).
tff(c_102639,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102633,c_242]) ).
tff(c_102660,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_102639,c_102045]) ).
tff(c_102663,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102660,c_330]) ).
tff(c_101130,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_101121,c_85116]) ).
tff(c_101131,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_101130]) ).
tff(c_101250,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_101131,c_320]) ).
tff(c_101397,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101250,c_101102]) ).
tff(c_101490,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_101397,c_95486,c_170]) ).
tff(c_101491,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_101490]) ).
tff(c_101492,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_101130]) ).
tff(c_102685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102624,c_102663,c_101492]) ).
tff(c_102686,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_102632]) ).
tff(c_102695,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102686,c_222]) ).
tff(c_102714,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_102695,c_102045]) ).
tff(c_101494,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101107,c_400]) ).
tff(c_95558,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_101127,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_240]) ).
tff(c_101734,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_95484]) ).
tff(c_101884,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_101734,c_318]) ).
tff(c_101998,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101884,c_101102]) ).
tff(c_102015,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_101998,c_95486,c_170]) ).
tff(c_102016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_102015]) ).
tff(c_102017,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_95484]) ).
tff(c_102074,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_102017]) ).
tff(c_102409,plain,
( ( e4 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102074,c_102020,c_128]) ).
tff(c_102410,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_95558,c_420,c_101127,c_414,c_102409]) ).
tff(c_102411,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_102410,c_102410,c_188]) ).
tff(c_102420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101494,c_102411]) ).
tff(c_102421,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_102017]) ).
tff(c_102787,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102714,c_102421]) ).
tff(c_102788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_102626,c_102787]) ).
tff(c_102789,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_102019]) ).
tff(c_103423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103387,c_103415,c_102789]) ).
tff(c_103424,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_103382]) ).
tff(c_103434,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103424,c_222]) ).
tff(c_103452,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_103434,c_103010]) ).
tff(c_103458,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103452,c_250]) ).
tff(c_103432,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103424,c_228]) ).
tff(c_103471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103458,c_103432,c_102789]) ).
tff(c_103472,plain,
( ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_101106]) ).
tff(c_104089,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_104013,c_103472]) ).
tff(c_104080,plain,
op(e0,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_180]) ).
tff(c_104090,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_104089,c_104080]) ).
tff(c_104100,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_104090]) ).
tff(c_104102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_104100]) ).
tff(c_104104,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_104988,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_95557]) ).
tff(c_104997,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_104988,c_220]) ).
tff(c_105351,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_104997,c_103472]) ).
tff(c_105205,plain,
op(e0,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_180]) ).
tff(c_105352,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_105351,c_105205]) ).
tff(c_105362,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_105352]) ).
tff(c_105364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_105362]) ).
tff(c_105365,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_95557]) ).
tff(c_105396,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_105365]) ).
tff(c_105401,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105396,c_372]) ).
tff(c_105399,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105396,c_270]) ).
tff(c_104747,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_95503]) ).
tff(c_104752,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_104747,c_216]) ).
tff(c_104971,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_104752,c_103472]) ).
tff(c_104931,plain,
op(e0,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_180]) ).
tff(c_104972,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_104971,c_104931]) ).
tff(c_104982,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_104972]) ).
tff(c_104984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_104982]) ).
tff(c_104985,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_95503]) ).
tff(c_105422,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_105399,c_104985]) ).
tff(c_105423,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_105422]) ).
tff(c_105430,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105423,c_246]) ).
tff(c_104106,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_95484]) ).
tff(c_104107,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_104106,c_318]) ).
tff(c_104616,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_104104,c_97474]) ).
tff(c_104617,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_104616]) ).
tff(c_104625,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104617,c_334]) ).
tff(c_104731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104107,c_104625,c_101102]) ).
tff(c_104732,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_104616]) ).
tff(c_104611,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_104106,c_156]) ).
tff(c_104734,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_104732,c_104732,c_104611]) ).
tff(c_104744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_104734]) ).
tff(c_104745,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_95484]) ).
tff(c_105437,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105423,c_104745]) ).
tff(c_105438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105401,c_105430,c_406,c_105437]) ).
tff(c_105439,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_105422]) ).
tff(c_105442,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105439,c_322]) ).
tff(c_105441,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105439,c_326]) ).
tff(c_105453,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_105401,c_105441,c_104745]) ).
tff(c_105460,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105453,c_344]) ).
tff(c_105479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104104,c_105442,c_105460,c_97474]) ).
tff(c_105481,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_105365]) ).
tff(c_103485,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_103651,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_103485,c_320]) ).
tff(c_103920,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_103651,c_101102]) ).
tff(c_103812,plain,
op(e0,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_95486,c_194]) ).
tff(c_103922,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_103920,c_103920,c_103812]) ).
tff(c_103932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_103922]) ).
tff(c_103933,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_106074,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_105481,c_103933]) ).
tff(c_106075,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_106074]) ).
tff(c_106082,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106075,c_348]) ).
tff(c_106098,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_104104,c_106082,c_97474]) ).
tff(c_106102,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106098,c_324]) ).
tff(c_106081,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106075,c_352]) ).
tff(c_105838,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_104745]) ).
tff(c_105865,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_104104,c_97474]) ).
tff(c_105866,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_105865]) ).
tff(c_105874,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105866,c_328]) ).
tff(c_105882,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_105481,c_105874,c_103933]) ).
tff(c_105840,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_105838,c_178]) ).
tff(c_105883,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_105882,c_105840]) ).
tff(c_105893,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_105838,c_105883]) ).
tff(c_105895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_105893]) ).
tff(c_105896,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_105865]) ).
tff(c_105904,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105896,c_348]) ).
tff(c_105912,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_105481,c_105904,c_103933]) ).
tff(c_105917,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105912,c_330]) ).
tff(c_105515,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_104985]) ).
tff(c_105798,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105515,c_103933]) ).
tff(c_105799,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_105481,c_410,c_105798]) ).
tff(c_105642,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_104104,c_97474]) ).
tff(c_105643,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_105642]) ).
tff(c_105652,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105643,c_322]) ).
tff(c_105518,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105515,c_262]) ).
tff(c_104103,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_105691,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_105518,c_104103]) ).
tff(c_105692,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_105691]) ).
tff(c_105698,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105692,c_248]) ).
tff(c_105480,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_105365]) ).
tff(c_105739,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_105698,c_105480]) ).
tff(c_105637,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_105515,c_168]) ).
tff(c_105740,plain,
op(e1,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_105739,c_105637]) ).
tff(c_105750,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_105515,c_105740]) ).
tff(c_105752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_105750]) ).
tff(c_105753,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_105691]) ).
tff(c_105646,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_105643,c_162]) ).
tff(c_105756,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_105753,c_105646]) ).
tff(c_105766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105652,c_105756]) ).
tff(c_105767,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_105642]) ).
tff(c_105775,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105767,c_348]) ).
tff(c_105814,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_105799,c_105775]) ).
tff(c_105815,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_104985]) ).
tff(c_105967,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_105917,c_105815]) ).
tff(c_105975,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105967,c_256]) ).
tff(c_106027,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_105975,c_103472]) ).
tff(c_105922,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105912,c_340]) ).
tff(c_106004,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_105922,c_101102]) ).
tff(c_106007,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_106004,c_160]) ).
tff(c_106028,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_106027,c_106007]) ).
tff(c_106039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104104,c_106028]) ).
tff(c_106040,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_104745]) ).
tff(c_106154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106102,c_106081,c_106040]) ).
tff(c_106155,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_106074]) ).
tff(c_106166,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106155,c_332]) ).
tff(c_106160,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106155,c_328]) ).
tff(c_106171,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_104104,c_106160,c_97474]) ).
tff(c_106180,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106171,c_344]) ).
tff(c_106234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106166,c_106180,c_106040]) ).
tff(c_106235,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_110869,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_110848,c_106235]) ).
tff(c_110870,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_110869]) ).
tff(c_110915,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110870,c_110858,c_330]) ).
tff(c_110917,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_110869]) ).
tff(c_110855,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_110847,c_304]) ).
tff(c_110863,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110858,c_332]) ).
tff(c_110919,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_110855,c_110863,c_95484]) ).
tff(c_110920,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_110919]) ).
tff(c_110924,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110920,c_246]) ).
tff(c_106237,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_106313,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_106237,c_286]) ).
tff(c_106314,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_110964,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110858,c_106314]) ).
tff(c_110965,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_110917,c_110924,c_410,c_110964]) ).
tff(c_110985,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110965,c_110847,c_202]) ).
tff(c_110986,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_110919]) ).
tff(c_111069,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110986,c_378]) ).
tff(c_106431,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_106317]) ).
tff(c_111100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110850,c_110860,c_111069,c_106431]) ).
tff(c_111101,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_110857]) ).
tff(c_111505,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_111401,c_111101]) ).
tff(c_111509,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111505,c_350]) ).
tff(c_111198,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_111231,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_111198,c_111101]) ).
tff(c_111234,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111231,c_352]) ).
tff(c_111103,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_110848,c_106235]) ).
tff(c_111104,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_111103]) ).
tff(c_111105,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111104,c_230]) ).
tff(c_111168,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_111105,c_106443]) ).
tff(c_111169,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_111168]) ).
tff(c_111192,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111169,c_110847,c_208]) ).
tff(c_111193,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_111168]) ).
tff(c_111256,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_111198,c_111193]) ).
tff(c_111113,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_110855,c_95484]) ).
tff(c_111114,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_111113]) ).
tff(c_111163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111104,c_111114,c_326]) ).
tff(c_111164,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_111113]) ).
tff(c_111278,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111256,c_111164]) ).
tff(c_111279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_111234,c_111278]) ).
tff(c_111281,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_111103]) ).
tff(c_110844,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_276]) ).
tff(c_111403,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_111281,c_110844,c_106314]) ).
tff(c_111404,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_111403]) ).
tff(c_111421,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111404,c_110847,c_202]) ).
tff(c_111422,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_111403]) ).
tff(c_111425,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111422,c_250]) ).
tff(c_111351,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_111398,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110847,c_111351,c_208]) ).
tff(c_111399,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_111482,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_111401,c_111425,c_111399]) ).
tff(c_111280,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_111103]) ).
tff(c_111539,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111482,c_111280]) ).
tff(c_111540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_111509,c_111539]) ).
tff(c_111541,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_115581,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_111544,c_111541]) ).
tff(c_115582,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_115581]) ).
tff(c_115587,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115582,c_248]) ).
tff(c_115588,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115582,c_242]) ).
tff(c_111542,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_114434,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_110844,c_106314]) ).
tff(c_114435,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_114434]) ).
tff(c_110004,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_107109,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_274]) ).
tff(c_106975,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_106479,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_106482,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_106479,c_314]) ).
tff(c_106481,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_106479,c_308]) ).
tff(c_106488,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_106481,c_85116]) ).
tff(c_106489,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_106488]) ).
tff(c_106497,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106489,c_340]) ).
tff(c_106554,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_106510,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_106479,c_304]) ).
tff(c_106492,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106489,c_332]) ).
tff(c_106555,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_106510,c_106492,c_95484]) ).
tff(c_106556,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_106555]) ).
tff(c_106559,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106556,c_252]) ).
tff(c_106480,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_106479,c_302]) ).
tff(c_106563,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106556,c_346]) ).
tff(c_106568,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_106480,c_106563,c_106235]) ).
tff(c_106569,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_106568]) ).
tff(c_106585,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106569,c_106489,c_330]) ).
tff(c_106586,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_106568]) ).
tff(c_106511,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_106550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106511,c_106479,c_208]) ).
tff(c_106551,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_106605,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106586,c_106551]) ).
tff(c_106606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106554,c_106559,c_410,c_106605]) ).
tff(c_106607,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_106555]) ).
tff(c_106609,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106607,c_378]) ).
tff(c_106676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106482,c_106497,c_106609,c_106431]) ).
tff(c_106677,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106488]) ).
tff(c_107068,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_106975,c_106677]) ).
tff(c_107069,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107068,c_350]) ).
tff(c_106976,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_106975,c_106443]) ).
tff(c_106977,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106976]) ).
tff(c_106990,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106977,c_106479,c_208]) ).
tff(c_106991,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_106976]) ).
tff(c_107018,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_106991]) ).
tff(c_107023,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107018,c_250]) ).
tff(c_106773,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_106480,c_106235]) ).
tff(c_106774,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_106773]) ).
tff(c_106858,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106774,c_230]) ).
tff(c_106782,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_106859,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_106858,c_106782,c_106443]) ).
tff(c_106860,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106859]) ).
tff(c_106883,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106860,c_106479,c_208]) ).
tff(c_106884,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_106859]) ).
tff(c_106891,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106884,c_252]) ).
tff(c_106783,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_106479,c_304]) ).
tff(c_106784,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_106783,c_95484]) ).
tff(c_106785,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_106784]) ).
tff(c_106855,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106774,c_106785,c_326]) ).
tff(c_106856,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106784]) ).
tff(c_106902,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106884,c_106856]) ).
tff(c_106903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_106891,c_106902]) ).
tff(c_106905,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_106773]) ).
tff(c_106475,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_276]) ).
tff(c_106680,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_106475,c_106314]) ).
tff(c_106681,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_106680]) ).
tff(c_106770,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106479,c_106681,c_202]) ).
tff(c_106771,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_106680]) ).
tff(c_107031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107023,c_106905,c_106771]) ).
tff(c_107032,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_106991]) ).
tff(c_106904,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106773]) ).
tff(c_107105,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107032,c_106904]) ).
tff(c_107106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_107069,c_107105]) ).
tff(c_107107,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_110243,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107109,c_107107]) ).
tff(c_110244,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_110243]) ).
tff(c_110248,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110244,c_248]) ).
tff(c_110251,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110244,c_244]) ).
tff(c_109690,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_109679,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_95484]) ).
tff(c_109782,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109679,c_107107]) ).
tff(c_109783,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_107109,c_404,c_109782]) ).
tff(c_109785,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109783,c_228]) ).
tff(c_108845,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107109,c_107107]) ).
tff(c_108846,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_108845]) ).
tff(c_108851,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108846,c_242]) ).
tff(c_108853,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108846,c_244]) ).
tff(c_108274,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_108275,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_95484]) ).
tff(c_108338,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_108275,c_318]) ).
tff(c_106444,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_107110,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_400]) ).
tff(c_108199,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_107901,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_107112,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_107248,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_107112,c_320]) ).
tff(c_107115,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_107112,c_310]) ).
tff(c_107183,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_107115,c_106235]) ).
tff(c_107184,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_107183]) ).
tff(c_107187,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107184,c_336]) ).
tff(c_107188,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107184,c_222]) ).
tff(c_107252,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107112,c_107107]) ).
tff(c_107253,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_107188,c_107252]) ).
tff(c_107260,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107253,c_244]) ).
tff(c_107117,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_107112,c_312]) ).
tff(c_107194,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_107117,c_95484]) ).
tff(c_107195,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_107194]) ).
tff(c_107236,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107195,c_107184,c_326]) ).
tff(c_107237,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_107194]) ).
tff(c_107275,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_107260,c_107237]) ).
tff(c_107279,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107275,c_378]) ).
tff(c_107355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107248,c_107187,c_107279,c_106431]) ).
tff(c_107356,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_107183]) ).
tff(c_107525,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_107356]) ).
tff(c_107531,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107525,c_366]) ).
tff(c_107357,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_107183]) ).
tff(c_107123,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_107133,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_106475,c_106314]) ).
tff(c_107134,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_107133]) ).
tff(c_107180,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107123,c_107134,c_210]) ).
tff(c_107181,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_107133]) ).
tff(c_107552,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_107357,c_107181]) ).
tff(c_107559,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107552,c_246]) ).
tff(c_107359,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_107117,c_95484]) ).
tff(c_107360,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_107359]) ).
tff(c_107435,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107360,c_107181]) ).
tff(c_107436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_107357,c_107435]) ).
tff(c_107437,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_107359]) ).
tff(c_107576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107531,c_107559,c_107437]) ).
tff(c_107577,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_107356]) ).
tff(c_107585,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107577,c_346]) ).
tff(c_107591,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_107357,c_107181]) ).
tff(c_107615,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_107591,c_107577,c_174]) ).
tff(c_107616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107585,c_107615]) ).
tff(c_107617,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_108155,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107901,c_107617]) ).
tff(c_108156,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_108155]) ).
tff(c_108162,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108156,c_252]) ).
tff(c_107698,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_107117,c_95484]) ).
tff(c_107699,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_107698]) ).
tff(c_107721,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_107112,c_320]) ).
tff(c_107704,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107699,c_338]) ).
tff(c_107661,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_107619,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_107115,c_106235]) ).
tff(c_107620,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_107619]) ).
tff(c_107623,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107620,c_222]) ).
tff(c_107672,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107112,c_107107]) ).
tff(c_107673,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_107623,c_107672]) ).
tff(c_107676,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107673,c_248]) ).
tff(c_107663,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107620,c_230]) ).
tff(c_107695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107661,c_107676,c_107663,c_107617]) ).
tff(c_107696,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_107619]) ).
tff(c_107839,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_107696]) ).
tff(c_107842,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107839,c_376]) ).
tff(c_107869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107721,c_107704,c_107842,c_106431]) ).
tff(c_107870,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_107696]) ).
tff(c_107889,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_107699,c_107870,c_107699,c_174]) ).
tff(c_107890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_107889]) ).
tff(c_107891,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_107698]) ).
tff(c_108169,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108156,c_107891]) ).
tff(c_108170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_108162,c_108169]) ).
tff(c_108171,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_108155]) ).
tff(c_106457,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_107908,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_107112,c_320]) ).
tff(c_107914,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107112,c_107107]) ).
tff(c_107915,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_107914]) ).
tff(c_107916,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_107915]) ).
tff(c_107923,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107916,c_244]) ).
tff(c_107952,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_107923,c_107891]) ).
tff(c_107956,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107952,c_378]) ).
tff(c_108026,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_107908,c_107956,c_106431]) ).
tff(c_108033,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108026,c_296]) ).
tff(c_106236,plain,
op(e3,e0) != e0,
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_107919,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107916,c_248]) ).
tff(c_107929,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_107901,c_107919,c_107617]) ).
tff(c_107988,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107929,c_107696]) ).
tff(c_107989,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_107988]) ).
tff(c_108114,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107929,c_107989,c_90]) ).
tff(c_108115,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106236,c_416,c_418,c_108114]) ).
tff(c_108116,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_108115]) ).
tff(c_108117,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_108116,c_108116,c_164]) ).
tff(c_108126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108033,c_108117]) ).
tff(c_108127,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_108115]) ).
tff(c_107697,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_107619]) ).
tff(c_107893,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_107697,c_106475,c_106314]) ).
tff(c_107894,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_107893]) ).
tff(c_108077,plain,
op(e4,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_107894,c_162]) ).
tff(c_108129,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_108127,c_108077]) ).
tff(c_108138,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_106457,c_108129]) ).
tff(c_108140,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_108138]) ).
tff(c_108141,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_107915]) ).
tff(c_108144,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108141,c_228]) ).
tff(c_108185,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108171,c_108144]) ).
tff(c_108186,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_107893]) ).
tff(c_108191,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108186,c_250]) ).
tff(c_108190,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108186,c_242]) ).
tff(c_108204,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107112,c_107107]) ).
tff(c_108205,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_108190,c_108204]) ).
tff(c_108207,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108205,c_228]) ).
tff(c_108219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108199,c_108191,c_108207,c_107617]) ).
tff(c_108220,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_108411,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_108274,c_108220]) ).
tff(c_108412,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_108411]) ).
tff(c_108414,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108412,c_350]) ).
tff(c_108280,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_108275,c_306]) ).
tff(c_108290,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_108280,c_106235]) ).
tff(c_108291,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_108290]) ).
tff(c_108295,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108291,c_222]) ).
tff(c_108333,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108275,c_107107]) ).
tff(c_108334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107109,c_404,c_108295,c_108333]) ).
tff(c_108335,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_108290]) ).
tff(c_108433,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_108414,c_108335]) ).
tff(c_108436,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_108433,c_376]) ).
tff(c_108502,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_108338,c_108436,c_106431]) ).
tff(c_146,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_108551,plain,
( ( op(e0,e4) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_108502,c_146]) ).
tff(c_108552,plain,
op(e0,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_107110,c_108436,c_420,c_410,c_108551]) ).
tff(c_108451,plain,
op(e0,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_106457,c_192]) ).
tff(c_108553,plain,
op(e0,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_108552,c_108451]) ).
tff(c_108563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106444,c_108553]) ).
tff(c_108564,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_108411]) ).
tff(c_108568,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108564,c_340]) ).
tff(c_108623,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_108338,c_108568,c_106431]) ).
tff(c_108352,plain,
op(op(e0,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_190]) ).
tff(c_108624,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_108623,c_108352]) ).
tff(c_108635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108274,c_108624]) ).
tff(c_108636,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_95484]) ).
tff(c_108892,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_108853,c_108636]) ).
tff(c_108893,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_108892]) ).
tff(c_108860,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_108274,c_108220]) ).
tff(c_108861,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_108860]) ).
tff(c_108874,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_108861,c_178]) ).
tff(c_108894,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_108893,c_108893,c_108874]) ).
tff(c_108904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_108894]) ).
tff(c_108905,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_108892]) ).
tff(c_108908,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108905,c_326]) ).
tff(c_108232,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_106475,c_106314]) ).
tff(c_108233,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_108232]) ).
tff(c_108222,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_108271,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108233,c_108222,c_210]) ).
tff(c_108272,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_108232]) ).
tff(c_108951,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108905,c_108272]) ).
tff(c_108952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_108908,c_108951]) ).
tff(c_108953,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_108860]) ).
tff(c_108957,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108953,c_330]) ).
tff(c_109039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108851,c_108957,c_108272]) ).
tff(c_109040,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_108845]) ).
tff(c_109049,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109040,c_222]) ).
tff(c_109055,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_108274,c_108220]) ).
tff(c_109056,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_109055]) ).
tff(c_109059,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109056,c_352]) ).
tff(c_109074,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_109059,c_108636]) ).
tff(c_109075,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_109074]) ).
tff(c_109069,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_109056,c_178]) ).
tff(c_109076,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_109075,c_109075,c_109069]) ).
tff(c_109086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_109076]) ).
tff(c_109087,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_109074]) ).
tff(c_109143,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109087,c_108272]) ).
tff(c_109144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_109049,c_109143]) ).
tff(c_109145,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_109055]) ).
tff(c_109154,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109145,c_332]) ).
tff(c_109163,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_109154,c_108636]) ).
tff(c_109164,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_109163]) ).
tff(c_109171,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109164,c_366]) ).
tff(c_108642,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_106235]) ).
tff(c_108700,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108642,c_107107]) ).
tff(c_108701,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_107109,c_402,c_108700]) ).
tff(c_108706,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108701,c_242]) ).
tff(c_108781,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_108706,c_108272]) ).
tff(c_108783,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108781,c_326]) ).
tff(c_108708,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108701,c_244]) ).
tff(c_108754,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_108708,c_108636]) ).
tff(c_108755,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_108754]) ).
tff(c_108722,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_108274,c_108220]) ).
tff(c_108723,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_108722]) ).
tff(c_108777,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_108755,c_108755,c_108723,c_178]) ).
tff(c_108778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_108777]) ).
tff(c_108779,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_108754]) ).
tff(c_108795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108783,c_108779]) ).
tff(c_108796,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_108722]) ).
tff(c_108801,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108796,c_330]) ).
tff(c_108825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108706,c_108801,c_108272]) ).
tff(c_108826,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106235]) ).
tff(c_109191,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_109171,c_109049,c_108826]) ).
tff(c_109200,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109191,c_226]) ).
tff(c_109223,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_109049,c_108272]) ).
tff(c_109192,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_109191,c_166]) ).
tff(c_109224,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_109223,c_109192]) ).
tff(c_109239,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_109224,c_109224,c_176]) ).
tff(c_109246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109200,c_109239]) ).
tff(c_109247,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_109163]) ).
tff(c_109257,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109247,c_346]) ).
tff(c_109262,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_109257,c_109049,c_108826]) ).
tff(c_109287,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_109262,c_109262,c_109145,c_168]) ).
tff(c_109288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_109287]) ).
tff(c_109289,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_109967,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_109690,c_109785,c_109289]) ).
tff(c_109972,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109967,c_250]) ).
tff(c_109790,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109783,c_222]) ).
tff(c_109738,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109679,c_107107]) ).
tff(c_109739,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_107109,c_404,c_109738]) ).
tff(c_109693,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_106475,c_106314]) ).
tff(c_109694,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_109693]) ).
tff(c_109774,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_109739,c_109739,c_109694,c_154]) ).
tff(c_109775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_109774]) ).
tff(c_109776,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_109693]) ).
tff(c_110000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109972,c_109790,c_109776]) ).
tff(c_110001,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_95484]) ).
tff(c_110258,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_110251,c_110001]) ).
tff(c_110259,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_110258]) ).
tff(c_110266,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110259,c_366]) ).
tff(c_109291,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_106235]) ).
tff(c_109603,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109291,c_107107]) ).
tff(c_109604,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_107109,c_402,c_109603]) ).
tff(c_109609,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109604,c_242]) ).
tff(c_109600,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_109607,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109604,c_248]) ).
tff(c_109632,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_109600,c_109607,c_109289]) ).
tff(c_109634,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109632,c_230]) ).
tff(c_109523,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_106475,c_106314]) ).
tff(c_109524,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_109523]) ).
tff(c_109556,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_109524,c_109291,c_162]) ).
tff(c_109595,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_109556,c_109524,c_109291,c_154]) ).
tff(c_109596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_109595]) ).
tff(c_109597,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_109523]) ).
tff(c_109676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109609,c_109634,c_109597]) ).
tff(c_109677,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106235]) ).
tff(c_110286,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_110266,c_109677]) ).
tff(c_110287,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_110286]) ).
tff(c_110288,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110287,c_350]) ).
tff(c_110315,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_110004,c_110288,c_108220]) ).
tff(c_110318,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110315,c_330]) ).
tff(c_110338,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110259,c_109289]) ).
tff(c_110339,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_110004,c_412,c_110338]) ).
tff(c_110316,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_110315,c_168]) ).
tff(c_110340,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_110339,c_110316]) ).
tff(c_110350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110318,c_110340]) ).
tff(c_110351,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_110286]) ).
tff(c_110357,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110351,c_230]) ).
tff(c_110395,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110259,c_109289]) ).
tff(c_110396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110004,c_412,c_110357,c_110395]) ).
tff(c_110397,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_110258]) ).
tff(c_110400,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110397,c_326]) ).
tff(c_110411,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_110400,c_109677]) ).
tff(c_110412,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_110411]) ).
tff(c_110477,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110412,c_109289]) ).
tff(c_110478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110004,c_110248,c_410,c_110477]) ).
tff(c_110479,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_110411]) ).
tff(c_110481,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110479,c_350]) ).
tff(c_110406,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110397,c_332]) ).
tff(c_110503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110004,c_110481,c_110406,c_108220]) ).
tff(c_110504,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_110243]) ).
tff(c_110507,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110504,c_228]) ).
tff(c_110799,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_110004,c_110507,c_109289]) ).
tff(c_110806,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110799,c_250]) ).
tff(c_110513,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110504,c_222]) ).
tff(c_110063,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107109,c_107107]) ).
tff(c_110064,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_110063]) ).
tff(c_110068,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110064,c_248]) ).
tff(c_110078,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_110004,c_110068,c_109289]) ).
tff(c_110080,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110078,c_230]) ).
tff(c_110096,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_110004,c_108220]) ).
tff(c_110097,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_110096]) ).
tff(c_110099,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110097,c_350]) ).
tff(c_110128,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110078,c_109677]) ).
tff(c_110129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_110099,c_110080,c_110128]) ).
tff(c_110130,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_110096]) ).
tff(c_110079,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_110078,c_168]) ).
tff(c_110132,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_110130,c_110079]) ).
tff(c_110142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110080,c_110132]) ).
tff(c_110143,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_110063]) ).
tff(c_110005,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_106475,c_106314]) ).
tff(c_110006,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_110005]) ).
tff(c_110223,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_110143,c_110143,c_110006,c_154]) ).
tff(c_110224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_110223]) ).
tff(c_110225,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_110005]) ).
tff(c_110832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110806,c_110513,c_110225]) ).
tff(c_110833,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_114473,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114435,c_110833]) ).
tff(c_114474,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_111542,c_402,c_114473]) ).
tff(c_114475,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_114474]) ).
tff(c_114478,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114475,c_348]) ).
tff(c_114479,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114475,c_342]) ).
tff(c_112687,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_106235]) ).
tff(c_113474,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112687,c_111541]) ).
tff(c_113475,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_111544,c_402,c_113474]) ).
tff(c_113481,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113475,c_242]) ).
tff(c_113482,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113475,c_244]) ).
tff(c_112691,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_112687,c_306]) ).
tff(c_112699,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_112691,c_95484]) ).
tff(c_112700,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_112699]) ).
tff(c_112759,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112700,c_106314]) ).
tff(c_112760,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_110844,c_112759]) ).
tff(c_112761,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_112760]) ).
tff(c_113002,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_112687,c_112761,c_154]) ).
tff(c_113003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111542,c_113002]) ).
tff(c_113004,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_112760]) ).
tff(c_113061,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_113004,c_112700,c_326]) ).
tff(c_113062,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_112699]) ).
tff(c_113560,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_113482,c_113062]) ).
tff(c_111543,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106447,c_280]) ).
tff(c_111545,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_111543,c_85116]) ).
tff(c_111546,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_111545]) ).
tff(c_111667,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_111546,c_320]) ).
tff(c_111550,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_111546,c_310]) ).
tff(c_111557,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_111550,c_106235]) ).
tff(c_111558,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_111557]) ).
tff(c_111560,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111558,c_336]) ).
tff(c_111619,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111558,c_230]) ).
tff(c_111623,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_111619,c_111543,c_106443]) ).
tff(c_111624,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_111623]) ).
tff(c_111636,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111624,c_110833]) ).
tff(c_111637,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_111542,c_408,c_111636]) ).
tff(c_111638,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_111637]) ).
tff(c_111654,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111638,c_111558,c_322]) ).
tff(c_111655,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_111637]) ).
tff(c_111660,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111655,c_344]) ).
tff(c_111552,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_111546,c_312]) ).
tff(c_111567,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_111552,c_95484]) ).
tff(c_111568,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_111567]) ).
tff(c_111614,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111568,c_111558,c_326]) ).
tff(c_111615,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_111567]) ).
tff(c_111717,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_111660,c_111615]) ).
tff(c_111720,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111717,c_378]) ).
tff(c_111746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111667,c_111560,c_111720,c_106431]) ).
tff(c_111747,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_111623]) ).
tff(c_111752,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111747,c_248]) ).
tff(c_111561,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111558,c_222]) ).
tff(c_111809,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111546,c_111541]) ).
tff(c_111810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_111752,c_111561,c_111809]) ).
tff(c_111812,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_111557]) ).
tff(c_112322,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_111812,c_110844,c_106314]) ).
tff(c_112323,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_112322]) ).
tff(c_112334,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112323,c_110833]) ).
tff(c_112335,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_111542,c_402,c_112334]) ).
tff(c_112336,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_112335]) ).
tff(c_112339,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112336,c_342]) ).
tff(c_112340,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112336,c_344]) ).
tff(c_111878,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_111546,c_320]) ).
tff(c_111814,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_111552,c_95484]) ).
tff(c_111815,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_111814]) ).
tff(c_111820,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111815,c_338]) ).
tff(c_111870,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111815,c_106314]) ).
tff(c_111871,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_111812,c_406,c_110844,c_111870]) ).
tff(c_111882,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111871,c_110833]) ).
tff(c_111883,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_111542,c_402,c_111882]) ).
tff(c_111884,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_111883]) ).
tff(c_111888,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111884,c_342]) ).
tff(c_111811,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_111557]) ).
tff(c_111994,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_111888,c_111811]) ).
tff(c_111996,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111994,c_376]) ).
tff(c_112067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111878,c_111820,c_111996,c_106431]) ).
tff(c_112068,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_111883]) ).
tff(c_112073,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112068,c_362]) ).
tff(c_112123,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_112073,c_111811]) ).
tff(c_112136,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_112123,c_112123,c_111815,c_166]) ).
tff(c_112137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_112136]) ).
tff(c_112138,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_111814]) ).
tff(c_112397,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_112340,c_112138]) ).
tff(c_112154,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_111812,c_110844,c_106314]) ).
tff(c_112155,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_112154]) ).
tff(c_112141,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_111543,c_106443]) ).
tff(c_112142,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_112141]) ).
tff(c_112183,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_112155,c_112142,c_210]) ).
tff(c_112184,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_112154]) ).
tff(c_112190,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112184,c_246]) ).
tff(c_112264,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_112190,c_112138]) ).
tff(c_112271,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112264,c_366]) ).
tff(c_112305,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_112271,c_111811]) ).
tff(c_112259,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_112184,c_174]) ).
tff(c_112307,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_112305,c_112259]) ).
tff(c_112317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112190,c_112307]) ).
tff(c_112318,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_112141]) ).
tff(c_112428,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112397,c_112318]) ).
tff(c_112429,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_112428]) ).
tff(c_112454,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112429,c_111811]) ).
tff(c_112455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_112339,c_112454]) ).
tff(c_112456,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_112335]) ).
tff(c_112472,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_111546,c_112456,c_111546,c_182]) ).
tff(c_112473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_112472]) ).
tff(c_112474,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_112322]) ).
tff(c_112479,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112474,c_242]) ).
tff(c_112624,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111546,c_111541]) ).
tff(c_112625,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_112479,c_112624]) ).
tff(c_112627,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112625,c_228]) ).
tff(c_112480,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112474,c_246]) ).
tff(c_112652,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_112480,c_112138]) ).
tff(c_112682,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112652,c_112318]) ).
tff(c_112683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_112627,c_112682]) ).
tff(c_112684,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_111545]) ).
tff(c_113497,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_112684]) ).
tff(c_113546,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_113497,c_178]) ).
tff(c_113561,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_113560,c_113560,c_113546]) ).
tff(c_113571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_113561]) ).
tff(c_113572,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_112684]) ).
tff(c_113575,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113572,c_330]) ).
tff(c_113153,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112687,c_111541]) ).
tff(c_113154,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_111544,c_402,c_113153]) ).
tff(c_113064,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_110844,c_106314]) ).
tff(c_113065,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_113064]) ).
tff(c_113100,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113065,c_110833]) ).
tff(c_113101,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_111542,c_402,c_113100]) ).
tff(c_113102,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_113101]) ).
tff(c_113167,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_113154,c_113102,c_156]) ).
tff(c_113205,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_113167,c_113154,c_113102,c_172]) ).
tff(c_113206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_113205]) ).
tff(c_113207,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_113101]) ).
tff(c_113210,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113207,c_364]) ).
tff(c_113227,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112687,c_111541]) ).
tff(c_113228,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_111544,c_402,c_113227]) ).
tff(c_113235,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113228,c_244]) ).
tff(c_113277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113210,c_113235,c_113062]) ).
tff(c_113278,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_113064]) ).
tff(c_113595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113481,c_113575,c_113278]) ).
tff(c_113596,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106235]) ).
tff(c_114548,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_114479,c_113596]) ).
tff(c_114549,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_114548]) ).
tff(c_114555,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114549,c_366]) ).
tff(c_114480,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114475,c_344]) ).
tff(c_113599,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_95484]) ).
tff(c_114301,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113599,c_111541]) ).
tff(c_114302,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_111544,c_404,c_114301]) ).
tff(c_114310,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114302,c_222]) ).
tff(c_113844,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_110844,c_106314]) ).
tff(c_113845,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_113844]) ).
tff(c_113901,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113599,c_111541]) ).
tff(c_113902,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_111544,c_404,c_113901]) ).
tff(c_113950,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_113845,c_113902,c_113845,c_162]) ).
tff(c_113951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_113950]) ).
tff(c_113952,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_113844]) ).
tff(c_114405,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_114310,c_113952]) ).
tff(c_114183,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113599,c_111541]) ).
tff(c_114184,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_111544,c_404,c_114183]) ).
tff(c_114191,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114184,c_222]) ).
tff(c_114232,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_114191,c_113952]) ).
tff(c_114238,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114232,c_250]) ).
tff(c_114162,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_113596]) ).
tff(c_113611,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_111543,c_106443]) ).
tff(c_113612,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_113611]) ).
tff(c_113640,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113612,c_110833]) ).
tff(c_113641,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_111542,c_408,c_113640]) ).
tff(c_113642,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_113641]) ).
tff(c_113644,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113642,c_322]) ).
tff(c_113686,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113599,c_111541]) ).
tff(c_113687,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_111544,c_404,c_113686]) ).
tff(c_113781,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_113687,c_113642,c_162]) ).
tff(c_113782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113644,c_113781]) ).
tff(c_113783,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_113641]) ).
tff(c_113840,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_113599,c_113783,c_113599,c_172]) ).
tff(c_113841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_113840]) ).
tff(c_113842,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_113611]) ).
tff(c_114263,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114162,c_113842]) ).
tff(c_114264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114238,c_410,c_114263]) ).
tff(c_114265,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_113596]) ).
tff(c_114374,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_114310,c_114265]) ).
tff(c_114376,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_114374,c_166]) ).
tff(c_114406,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_114405,c_114376]) ).
tff(c_114430,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_114406,c_114405,c_114374,c_174]) ).
tff(c_114431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_114430]) ).
tff(c_114432,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_95484]) ).
tff(c_114571,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_114555,c_114480,c_114432]) ).
tff(c_114581,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114571,c_332]) ).
tff(c_114598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114478,c_114581,c_112684]) ).
tff(c_114599,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_114548]) ).
tff(c_114604,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114599,c_330]) ).
tff(c_114642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114478,c_114604,c_112684]) ).
tff(c_114643,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_114474]) ).
tff(c_114649,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114643,c_362]) ).
tff(c_114647,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114643,c_364]) ).
tff(c_114696,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_111544,c_111541]) ).
tff(c_114697,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_114696]) ).
tff(c_114704,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114697,c_244]) ).
tff(c_114744,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_114647,c_114704,c_114432]) ).
tff(c_114711,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_114649,c_113596]) ).
tff(c_114712,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_114711]) ).
tff(c_114739,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_114712,c_174]) ).
tff(c_114745,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_114744,c_114744,c_114739]) ).
tff(c_114756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_114745]) ).
tff(c_114757,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_114711]) ).
tff(c_114759,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114757,c_326]) ).
tff(c_114771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114647,c_114704,c_114759,c_114432]) ).
tff(c_114772,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_114696]) ).
tff(c_114781,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114772,c_222]) ).
tff(c_114787,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_114649,c_114781,c_113596]) ).
tff(c_114795,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114787,c_346]) ).
tff(c_114813,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_114647,c_114795,c_114432]) ).
tff(c_114789,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_114787,c_166]) ).
tff(c_114814,plain,
op(e3,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_114813,c_114789]) ).
tff(c_114823,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_114787,c_114814]) ).
tff(c_114825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_114823]) ).
tff(c_114826,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_114434]) ).
tff(c_115720,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_115588,c_114826]) ).
tff(c_115725,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115720,c_230]) ).
tff(c_114828,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_111543,c_106443]) ).
tff(c_114829,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_114828]) ).
tff(c_114840,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114829,c_110833]) ).
tff(c_114841,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_111542,c_408,c_114840]) ).
tff(c_114842,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_114841]) ).
tff(c_114852,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114842,c_322]) ).
tff(c_114916,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_111544,c_111541]) ).
tff(c_114917,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_114916]) ).
tff(c_114923,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114917,c_242]) ).
tff(c_114946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114923,c_114852,c_114826]) ).
tff(c_114947,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_114916]) ).
tff(c_114889,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_114842,c_162]) ).
tff(c_114950,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_114947,c_114889]) ).
tff(c_114960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114852,c_114950]) ).
tff(c_114961,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_114841]) ).
tff(c_114976,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114961,c_204]) ).
tff(c_114967,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114961,c_344]) ).
tff(c_115019,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_114967,c_114432]) ).
tff(c_115020,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_115019]) ).
tff(c_115027,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115020,c_366]) ).
tff(c_114966,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114961,c_342]) ).
tff(c_115045,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_115027,c_114966,c_113596]) ).
tff(c_115053,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115045,c_222]) ).
tff(c_115066,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_111544,c_115053,c_111541]) ).
tff(c_114992,plain,
op(op(e2,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_114961,c_156]) ).
tff(c_115068,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_115066,c_114992]) ).
tff(c_115081,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_115068,c_115068,c_176]) ).
tff(c_115090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114976,c_115081]) ).
tff(c_115091,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_115019]) ).
tff(c_115095,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115091,c_326]) ).
tff(c_115164,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115091,c_114826]) ).
tff(c_115165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_115095,c_115164]) ).
tff(c_115166,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_114828]) ).
tff(c_115778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115587,c_115725,c_115166]) ).
tff(c_115779,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_115581]) ).
tff(c_115788,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115779,c_222]) ).
tff(c_115820,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_115788,c_114826]) ).
tff(c_115824,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115820,c_250]) ).
tff(c_115794,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_115788,c_113596]) ).
tff(c_115795,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_115794]) ).
tff(c_115873,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115795,c_115166]) ).
tff(c_115874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115824,c_410,c_115873]) ).
tff(c_115875,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_115794]) ).
tff(c_115884,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115875,c_226]) ).
tff(c_115889,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_115788,c_114826]) ).
tff(c_115931,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_115889,c_115875,c_166]) ).
tff(c_115932,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_115931,c_115931,c_176]) ).
tff(c_115941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115884,c_115932]) ).
tff(c_115942,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_106446]) ).
tff(c_128973,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_128927,c_115942]) ).
tff(c_128974,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_128973]) ).
tff(c_128978,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128974,c_234]) ).
tff(c_121396,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_121400,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_121396,c_312]) ).
tff(c_121399,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_121396,c_308]) ).
tff(c_121406,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121396,c_50475]) ).
tff(c_121407,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_121399,c_408,c_121406]) ).
tff(c_121408,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_121407]) ).
tff(c_121413,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_222]) ).
tff(c_122326,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_106235]) ).
tff(c_122327,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_121413,c_122326]) ).
tff(c_122328,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_122327]) ).
tff(c_122330,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122328,c_346]) ).
tff(c_122341,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_121400,c_122330,c_95484]) ).
tff(c_122342,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_122341]) ).
tff(c_122426,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_122342,c_122328,c_122342,c_174]) ).
tff(c_122427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_122426]) ).
tff(c_122428,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_122341]) ).
tff(c_122435,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122428,c_372]) ).
tff(c_122325,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_228]) ).
tff(c_121916,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_121921,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_121916,c_220]) ).
tff(c_122125,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_234]) ).
tff(c_122169,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_121921,c_122125,c_115942]) ).
tff(c_122187,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_122169,c_85118,c_180]) ).
tff(c_122188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_122187]) ).
tff(c_122189,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_122461,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122428,c_122189]) ).
tff(c_122462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122435,c_412,c_122325,c_122461]) ).
tff(c_122463,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_122327]) ).
tff(c_122472,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122463,c_370]) ).
tff(c_122466,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122463,c_230]) ).
tff(c_122468,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122463,c_366]) ).
tff(c_122477,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_121400,c_122468,c_95484]) ).
tff(c_122478,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_122477]) ).
tff(c_122191,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_121413,c_106314]) ).
tff(c_122192,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_122191]) ).
tff(c_122195,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_122192,c_216]) ).
tff(c_122229,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_234]) ).
tff(c_122237,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_122195,c_122229,c_115942]) ).
tff(c_122239,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122237,c_260]) ).
tff(c_122231,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_228]) ).
tff(c_122254,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_122239,c_122231,c_122189]) ).
tff(c_122260,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122254,c_368]) ).
tff(c_122201,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_106235]) ).
tff(c_122202,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_121413,c_122201]) ).
tff(c_122203,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_122202]) ).
tff(c_122209,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122203,c_342]) ).
tff(c_121660,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_106235]) ).
tff(c_121661,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_121413,c_121660]) ).
tff(c_121662,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_121661]) ).
tff(c_121751,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121662,c_346]) ).
tff(c_115945,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_120627,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_120628,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_120627]) ).
tff(c_120629,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_120628]) ).
tff(c_120631,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_120629,c_236]) ).
tff(c_115962,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_116374,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_115962,c_320]) ).
tff(c_116427,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_116374,c_106431]) ).
tff(c_116428,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_116427]) ).
tff(c_115965,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_115962,c_308]) ).
tff(c_115973,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115962,c_50475]) ).
tff(c_115974,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_115965,c_408,c_115973]) ).
tff(c_115975,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_115974]) ).
tff(c_116009,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115975,c_234]) ).
tff(c_116075,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_116076,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_414,c_116009,c_116075]) ).
tff(c_116109,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_116076,c_116076,c_85118,c_196]) ).
tff(c_116110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_116109]) ).
tff(c_116111,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_115974]) ).
tff(c_116355,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116111,c_254]) ).
tff(c_116361,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_116362,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_414,c_116355,c_116361]) ).
tff(c_116469,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_116428,c_116362,c_194]) ).
tff(c_116481,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_116469,c_116428,c_116362,c_170]) ).
tff(c_116482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_116481]) ).
tff(c_116483,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_116427]) ).
tff(c_116488,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116483,c_378]) ).
tff(c_116360,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116111,c_244]) ).
tff(c_116221,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116111,c_95484]) ).
tff(c_116222,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_116221]) ).
tff(c_116223,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_116222]) ).
tff(c_116266,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_115962,c_320]) ).
tff(c_116226,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116223,c_338]) ).
tff(c_115964,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_115962,c_310]) ).
tff(c_116131,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_115964,c_106235]) ).
tff(c_116132,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_116131]) ).
tff(c_116142,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116132,c_236]) ).
tff(c_116147,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116111,c_254]) ).
tff(c_116176,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_116177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_116142,c_116147,c_116176]) ).
tff(c_116178,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_116131]) ).
tff(c_116268,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_116178]) ).
tff(c_116270,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116268,c_376]) ).
tff(c_116284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116266,c_116226,c_116270,c_106431]) ).
tff(c_116285,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_116178]) ).
tff(c_116341,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_116223,c_116285,c_116223,c_174]) ).
tff(c_116342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_116341]) ).
tff(c_116343,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_116222]) ).
tff(c_116497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116488,c_116360,c_116343]) ).
tff(c_116498,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_118036,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_116498]) ).
tff(c_118044,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118036,c_370]) ).
tff(c_118016,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_118017,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_118016]) ).
tff(c_118018,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_118017]) ).
tff(c_118021,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118018,c_236]) ).
tff(c_117298,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_106314]) ).
tff(c_117305,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_106235]) ).
tff(c_117456,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_117298,c_117305,c_162]) ).
tff(c_117513,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_117456,c_117298,c_117305,c_154]) ).
tff(c_117514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_117513]) ).
tff(c_117515,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106235]) ).
tff(c_118111,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_118044,c_118021,c_117515]) ).
tff(c_118043,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118036,c_372]) ).
tff(c_118038,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118036,c_268]) ).
tff(c_118020,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118018,c_234]) ).
tff(c_116965,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_116966,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_116965]) ).
tff(c_116967,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_116966]) ).
tff(c_116970,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116967,c_240]) ).
tff(c_116612,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_116504,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_116652,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116612,c_116504,c_208]) ).
tff(c_116653,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_116979,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_116970,c_116653]) ).
tff(c_116980,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_116979]) ).
tff(c_116984,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116980,c_270]) ).
tff(c_116506,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_116504,c_302]) ).
tff(c_116881,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_116506,c_106235]) ).
tff(c_116882,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_116881]) ).
tff(c_116884,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116882,c_236]) ).
tff(c_116901,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_116902,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_414,c_116884,c_116901]) ).
tff(c_116955,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_116902,c_85118,c_180]) ).
tff(c_116956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_116955]) ).
tff(c_116958,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_116881]) ).
tff(c_116513,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_106314]) ).
tff(c_116609,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116504,c_116513,c_202]) ).
tff(c_116610,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_106314]) ).
tff(c_117030,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_116984,c_116958,c_116610]) ).
tff(c_117037,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117030,c_246]) ).
tff(c_116988,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116980,c_370]) ).
tff(c_116957,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_116881]) ).
tff(c_117049,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_116988,c_116957]) ).
tff(c_117031,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_117030,c_174]) ).
tff(c_117050,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_117049,c_117031]) ).
tff(c_117060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117037,c_117050]) ).
tff(c_117061,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_116979]) ).
tff(c_117068,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117061,c_252]) ).
tff(c_116508,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_116504,c_314]) ).
tff(c_116505,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_116504,c_304]) ).
tff(c_116655,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_116505,c_95484]) ).
tff(c_116656,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_116655]) ).
tff(c_116659,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116656,c_338]) ).
tff(c_116713,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_116714,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_116713]) ).
tff(c_116715,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_116714]) ).
tff(c_116718,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116715,c_240]) ).
tff(c_116728,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_116718,c_116653]) ).
tff(c_116729,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_116728]) ).
tff(c_116733,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116729,c_270]) ).
tff(c_116666,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_116506,c_106235]) ).
tff(c_116667,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_116666]) ).
tff(c_116703,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116667,c_116656,c_326]) ).
tff(c_116705,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_116666]) ).
tff(c_116774,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116656,c_116610]) ).
tff(c_116775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116733,c_406,c_116705,c_116774]) ).
tff(c_116777,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_116728]) ).
tff(c_116660,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116656,c_332]) ).
tff(c_116790,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_116777,c_116660,c_116498]) ).
tff(c_116791,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116790,c_350]) ).
tff(c_116704,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_116666]) ).
tff(c_116842,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_116791,c_116704]) ).
tff(c_116846,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116842,c_376]) ).
tff(c_116878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116508,c_116659,c_116846,c_106431]) ).
tff(c_116879,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_116655]) ).
tff(c_117157,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117061,c_116879]) ).
tff(c_117158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_117068,c_117157]) ).
tff(c_117159,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_116966]) ).
tff(c_117161,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117159,c_256]) ).
tff(c_117163,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117159,c_260]) ).
tff(c_117172,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_117163,c_116653]) ).
tff(c_117173,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_117172]) ).
tff(c_117177,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117173,c_270]) ).
tff(c_117214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117177,c_117161,c_116958,c_116610]) ).
tff(c_117216,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_117172]) ).
tff(c_117229,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_117216,c_116498]) ).
tff(c_117230,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_117229]) ).
tff(c_117231,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117230,c_350]) ).
tff(c_117215,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_117172]) ).
tff(c_117276,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117215,c_116957]) ).
tff(c_117277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_117231,c_117276]) ).
tff(c_117278,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_117229]) ).
tff(c_117293,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117278,c_116610]) ).
tff(c_117294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_117161,c_116958,c_117293]) ).
tff(c_117295,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_118092,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_118038,c_118020,c_117295]) ).
tff(c_118095,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118092,c_244]) ).
tff(c_117564,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_117565,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_117564]) ).
tff(c_117566,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_117565]) ).
tff(c_117568,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117566,c_234]) ).
tff(c_117517,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_95484]) ).
tff(c_117736,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117517,c_117295]) ).
tff(c_117737,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_117568,c_117736]) ).
tff(c_117744,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117737,c_264]) ).
tff(c_116501,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_358]) ).
tff(c_117740,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117737,c_268]) ).
tff(c_117570,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117566,c_240]) ).
tff(c_117532,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_117545,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117532,c_117298,c_210]) ).
tff(c_117546,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_117801,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_117740,c_117570,c_117546]) ).
tff(c_117805,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117801,c_260]) ).
tff(c_140,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_117903,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117566,c_115945,c_140]) ).
tff(c_117904,plain,
( ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_117805,c_406,c_418,c_117903]) ).
tff(c_117905,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_117904]) ).
tff(c_117906,plain,
op(e2,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_117905,c_117905,c_200]) ).
tff(c_117917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116501,c_117906]) ).
tff(c_117918,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_117904]) ).
tff(c_117550,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_117517,c_318]) ).
tff(c_117569,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117566,c_236]) ).
tff(c_117583,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_117569,c_117515]) ).
tff(c_117584,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_117583]) ).
tff(c_117592,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117584,c_370]) ).
tff(c_117640,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_117592,c_116498]) ).
tff(c_117641,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_117640]) ).
tff(c_117644,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117641,c_352]) ).
tff(c_117664,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117584,c_117546]) ).
tff(c_117665,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_117592,c_410,c_117664]) ).
tff(c_117686,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_117665,c_117641,c_178]) ).
tff(c_117687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117644,c_117686]) ).
tff(c_117688,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_117640]) ).
tff(c_117695,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117688,c_340]) ).
tff(c_117588,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117584,c_376]) ).
tff(c_117716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117550,c_117695,c_117588,c_106431]) ).
tff(c_117717,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_117583]) ).
tff(c_117721,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117717,c_350]) ).
tff(c_117765,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_117740,c_117721,c_116498]) ).
tff(c_117771,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117765,c_340]) ).
tff(c_117833,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_117550,c_117771,c_106431]) ).
tff(c_117834,plain,
op(e1,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_117833,c_190]) ).
tff(c_117921,plain,
op(e1,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_117918,c_117834]) ).
tff(c_117930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117744,c_117921]) ).
tff(c_117931,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_117565]) ).
tff(c_117981,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_117931,c_85118,c_180]) ).
tff(c_117982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_117981]) ).
tff(c_117983,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_95484]) ).
tff(c_118147,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_118043,c_118095,c_117983]) ).
tff(c_118128,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_118111,c_166]) ).
tff(c_118148,plain,
op(e3,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_118147,c_118128]) ).
tff(c_118157,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_118111,c_118148]) ).
tff(c_118159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_118157]) ).
tff(c_118161,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_116498]) ).
tff(c_118022,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118018,c_240]) ).
tff(c_117985,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_118000,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117985,c_117298,c_210]) ).
tff(c_118001,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_118196,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_118161,c_118022,c_118001]) ).
tff(c_118202,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118196,c_252]) ).
tff(c_118274,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118196,c_117983]) ).
tff(c_118275,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_118202,c_118274]) ).
tff(c_118285,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118275,c_332]) ).
tff(c_118160,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_116498]) ).
tff(c_118311,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_118285,c_118160]) ).
tff(c_118334,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_118311,c_118196,c_178]) ).
tff(c_118335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118202,c_118334]) ).
tff(c_118336,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_118017]) ).
tff(c_118594,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_118336,c_85118,c_118336,c_196]) ).
tff(c_118595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_118594]) ).
tff(c_118596,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_106314]) ).
tff(c_120999,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_120631,c_118596]) ).
tff(c_121000,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_120999]) ).
tff(c_121004,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121000,c_270]) ).
tff(c_119335,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_119336,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_119335]) ).
tff(c_119337,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_119336]) ).
tff(c_119340,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119337,c_236]) ).
tff(c_119358,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_119340,c_118596]) ).
tff(c_119359,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_119358]) ).
tff(c_119363,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119359,c_270]) ).
tff(c_119362,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119359,c_262]) ).
tff(c_118598,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_106235]) ).
tff(c_119376,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118598,c_117295]) ).
tff(c_119377,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_119362,c_402,c_119376]) ).
tff(c_119383,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119377,c_248]) ).
tff(c_119341,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119337,c_240]) ).
tff(c_119124,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118598,c_117295]) ).
tff(c_119125,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_119124]) ).
tff(c_119126,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_119125]) ).
tff(c_118980,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_119016,plain,
op(e4,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_118980,c_182]) ).
tff(c_119127,plain,
op(e4,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119126,c_119016]) ).
tff(c_119140,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119127,c_118980]) ).
tff(c_119142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_119140]) ).
tff(c_119143,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_119125]) ).
tff(c_119152,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119143,c_242]) ).
tff(c_119021,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_119022,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_119021]) ).
tff(c_119023,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_119022]) ).
tff(c_119027,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119023,c_236]) ).
tff(c_119158,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_119027,c_118596]) ).
tff(c_119159,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_119158]) ).
tff(c_119046,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_116498]) ).
tff(c_119050,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119046,c_270]) ).
tff(c_119049,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119046,c_268]) ).
tff(c_119067,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118598,c_117295]) ).
tff(c_119068,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_119049,c_402,c_119067]) ).
tff(c_119076,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119068,c_242]) ).
tff(c_119087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119050,c_119076,c_119027,c_118596]) ).
tff(c_119088,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_116498]) ).
tff(c_119191,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119159,c_119088]) ).
tff(c_119192,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_119191]) ).
tff(c_119146,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119143,c_244]) ).
tff(c_118602,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_118598,c_306]) ).
tff(c_118609,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_118602,c_95484]) ).
tff(c_118610,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_118609]) ).
tff(c_118637,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118610,c_326]) ).
tff(c_118946,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118610,c_118596]) ).
tff(c_118947,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_118637,c_118946]) ).
tff(c_118951,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118947,c_262]) ).
tff(c_118960,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118598,c_117295]) ).
tff(c_118961,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_118951,c_402,c_118960]) ).
tff(c_118783,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118610,c_118596]) ).
tff(c_118784,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_118637,c_118783]) ).
tff(c_118604,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_118598,c_316]) ).
tff(c_118613,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118610,c_338]) ).
tff(c_118812,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_118604,c_118613,c_106431]) ).
tff(c_118815,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118812,c_376]) ).
tff(c_118788,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118784,c_330]) ).
tff(c_118650,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_118651,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_118650]) ).
tff(c_118652,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_118651]) ).
tff(c_86,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_118917,plain,
( ( e4 = e1 )
| ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118652,c_118598,c_86]) ).
tff(c_118918,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_410,c_118815,c_118788,c_408,c_118917]) ).
tff(c_118897,plain,
op(op(e3,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_118610,c_174]) ).
tff(c_118919,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_118918,c_118897]) ).
tff(c_118929,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_118784,c_118919]) ).
tff(c_118931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_118929]) ).
tff(c_118932,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_118651]) ).
tff(c_118938,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118932,c_254]) ).
tff(c_118974,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118961,c_118938]) ).
tff(c_118975,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_118609]) ).
tff(c_119173,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_119146,c_118975]) ).
tff(c_119174,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119173,c_186]) ).
tff(c_119209,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119192,c_119192,c_119174]) ).
tff(c_119210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_119209]) ).
tff(c_119211,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_119158]) ).
tff(c_119241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119152,c_119211]) ).
tff(c_119242,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_119022]) ).
tff(c_119248,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119242,c_254]) ).
tff(c_119287,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118598,c_117295]) ).
tff(c_119288,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_119287]) ).
tff(c_119289,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_119288]) ).
tff(c_119290,plain,
op(e4,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119289,c_119016]) ).
tff(c_119303,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119290,c_118980]) ).
tff(c_119305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_119303]) ).
tff(c_119306,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_119288]) ).
tff(c_119321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119248,c_119306]) ).
tff(c_119322,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_119438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119363,c_119383,c_119341,c_119322]) ).
tff(c_119439,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_119358]) ).
tff(c_119447,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119439,c_242]) ).
tff(c_119454,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118598,c_117295]) ).
tff(c_119455,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_119447,c_402,c_119454]) ).
tff(c_119458,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119455,c_268]) ).
tff(c_119443,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119439,c_250]) ).
tff(c_119516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119458,c_119443,c_119341,c_119322]) ).
tff(c_119517,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_119336]) ).
tff(c_119602,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_85118,c_119517,c_180]) ).
tff(c_119603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_119602]) ).
tff(c_119604,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106235]) ).
tff(c_120794,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_120631,c_119604]) ).
tff(c_120795,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_120794]) ).
tff(c_120803,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_120795,c_370]) ).
tff(c_120817,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_120631,c_118596]) ).
tff(c_120818,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_120817]) ).
tff(c_120821,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_120818,c_262]) ).
tff(c_120630,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_120629,c_234]) ).
tff(c_120844,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_120821,c_120630,c_117295]) ).
tff(c_120849,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120844,c_248]) ).
tff(c_119867,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_119868,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_119867]) ).
tff(c_119869,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_119868]) ).
tff(c_119871,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119869,c_236]) ).
tff(c_120094,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_119871,c_118596]) ).
tff(c_120095,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_120094]) ).
tff(c_119881,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_116498]) ).
tff(c_119885,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119881,c_270]) ).
tff(c_119883,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119881,c_268]) ).
tff(c_119870,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119869,c_234]) ).
tff(c_119895,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_119883,c_119870,c_117295]) ).
tff(c_119902,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119895,c_242]) ).
tff(c_119909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119885,c_119902,c_119871,c_118596]) ).
tff(c_119910,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_116498]) ).
tff(c_120122,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120095,c_119910]) ).
tff(c_120123,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_120122]) ).
tff(c_119949,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_119871,c_119604]) ).
tff(c_119950,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_119949]) ).
tff(c_119954,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119950,c_230]) ).
tff(c_119976,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_119871,c_118596]) ).
tff(c_119977,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_119976]) ).
tff(c_120012,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_119977,c_119950,c_168]) ).
tff(c_120047,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_120012,c_120012,c_188]) ).
tff(c_120048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119954,c_120047]) ).
tff(c_120049,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_119976]) ).
tff(c_119956,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119950,c_366]) ).
tff(c_119928,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_119870,c_117295]) ).
tff(c_119929,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_119928]) ).
tff(c_119606,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_119918,plain,
op(e4,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119606,c_182]) ).
tff(c_119930,plain,
op(e4,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119929,c_119918]) ).
tff(c_119944,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119930,c_119606]) ).
tff(c_119946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_119944]) ).
tff(c_119947,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_119928]) ).
tff(c_119963,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119947,c_244]) ).
tff(c_119635,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115945,c_115942]) ).
tff(c_119636,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_119635]) ).
tff(c_119637,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_119636]) ).
tff(c_119638,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119637,c_234]) ).
tff(c_119616,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_95484]) ).
tff(c_119722,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119616,c_117295]) ).
tff(c_119723,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_119638,c_119722]) ).
tff(c_119669,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_119606,c_158]) ).
tff(c_119724,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_119723,c_119723,c_119669]) ).
tff(c_119734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_119724]) ).
tff(c_119735,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_119636]) ).
tff(c_119857,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_119735,c_119735,c_85118,c_196]) ).
tff(c_119858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_119857]) ).
tff(c_119859,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_95484]) ).
tff(c_120051,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_119956,c_119963,c_119859]) ).
tff(c_120064,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_120049,c_120051]) ).
tff(c_120066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_120064]) ).
tff(c_120067,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_119949]) ).
tff(c_120084,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120067,c_350]) ).
tff(c_120136,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_120123,c_120084]) ).
tff(c_120137,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_120094]) ).
tff(c_120075,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119947,c_242]) ).
tff(c_120179,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_120137,c_120075]) ).
tff(c_120180,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_119868]) ).
tff(c_120386,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_120180,c_85118,c_120180,c_196]) ).
tff(c_120387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_120386]) ).
tff(c_120388,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_120898,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120795,c_120388]) ).
tff(c_120899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120803,c_120849,c_410,c_120898]) ).
tff(c_120900,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_120817]) ).
tff(c_120905,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120900,c_250]) ).
tff(c_120978,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120795,c_120388]) ).
tff(c_120979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120803,c_120905,c_410,c_120978]) ).
tff(c_120980,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_120794]) ).
tff(c_120984,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120980,c_350]) ).
tff(c_121043,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121000,c_116498]) ).
tff(c_121044,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121004,c_120984,c_410,c_121043]) ).
tff(c_121045,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_120999]) ).
tff(c_121052,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121045,c_242]) ).
tff(c_121063,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_121052,c_120630,c_117295]) ).
tff(c_121065,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121063,c_268]) ).
tff(c_121050,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121045,c_250]) ).
tff(c_120632,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_120629,c_240]) ).
tff(c_121115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121065,c_121050,c_120632,c_120388]) ).
tff(c_121116,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_120628]) ).
tff(c_121386,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_85118,c_121116,c_180]) ).
tff(c_121387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_121386]) ).
tff(c_121388,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_121420,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_121399,c_121388]) ).
tff(c_121421,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_121420]) ).
tff(c_121675,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121421,c_106314]) ).
tff(c_121676,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_121413,c_121675]) ).
tff(c_121677,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_121676]) ).
tff(c_121688,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121677,c_250]) ).
tff(c_121659,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_228]) ).
tff(c_121429,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_121434,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_121429,c_220]) ).
tff(c_121494,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_234]) ).
tff(c_121574,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_121434,c_121494,c_115942]) ).
tff(c_121604,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_121574,c_85118,c_180]) ).
tff(c_121605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_121604]) ).
tff(c_121606,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_121714,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_121688,c_121659,c_121606]) ).
tff(c_121721,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121714,c_372]) ).
tff(c_121680,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121677,c_246]) ).
tff(c_121609,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_121400,c_95484]) ).
tff(c_121610,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_121609]) ).
tff(c_121656,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121610,c_121421,c_324]) ).
tff(c_121657,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_121609]) ).
tff(c_121739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121721,c_121680,c_121657]) ).
tff(c_121740,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_121676]) ).
tff(c_121743,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121740,c_270]) ).
tff(c_121778,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_121743,c_121659,c_121606]) ).
tff(c_121804,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121778,c_121657]) ).
tff(c_121805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_121751,c_121804]) ).
tff(c_121806,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_121661]) ).
tff(c_121815,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121806,c_370]) ).
tff(c_121896,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121806,c_121606]) ).
tff(c_121897,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_121815,c_410,c_121896]) ).
tff(c_121904,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121897,c_252]) ).
tff(c_121911,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121897,c_121657]) ).
tff(c_121912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_121904,c_121911]) ).
tff(c_121913,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_121420]) ).
tff(c_122269,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122260,c_122209,c_121913]) ).
tff(c_122270,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_122202]) ).
tff(c_122278,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122270,c_370]) ).
tff(c_122299,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121408,c_234]) ).
tff(c_122305,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_122195,c_122299,c_115942]) ).
tff(c_122307,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122305,c_260]) ).
tff(c_122319,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122270,c_122189]) ).
tff(c_122320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122278,c_122307,c_410,c_122319]) ).
tff(c_122321,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_122191]) ).
tff(c_122565,plain,
( ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122478,c_122321]) ).
tff(c_122566,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_122565]) ).
tff(c_122560,plain,
op(op(e1,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_122463,c_168]) ).
tff(c_122567,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_122566,c_122560]) ).
tff(c_122580,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_122567,c_122567,c_188]) ).
tff(c_122589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122466,c_122580]) ).
tff(c_122590,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_122477]) ).
tff(c_122596,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122590,c_252]) ).
tff(c_122623,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122463,c_122189]) ).
tff(c_122624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122472,c_122596,c_410,c_122623]) ).
tff(c_122625,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_121407]) ).
tff(c_122630,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122625,c_244]) ).
tff(c_123197,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122625,c_95484]) ).
tff(c_123198,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_122630,c_123197]) ).
tff(c_123199,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_123198]) ).
tff(c_121398,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_121396,c_310]) ).
tff(c_123185,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_121398,c_106235]) ).
tff(c_123186,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_123185]) ).
tff(c_123220,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123199,c_123186,c_326]) ).
tff(c_123221,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_123198]) ).
tff(c_123229,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123221,c_372]) ).
tff(c_123188,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123186,c_230]) ).
tff(c_122981,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_121396,c_320]) ).
tff(c_122928,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122625,c_95484]) ).
tff(c_122929,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_122630,c_122928]) ).
tff(c_122930,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_122929]) ).
tff(c_122934,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122930,c_338]) ).
tff(c_122637,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122625,c_248]) ).
tff(c_122851,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_122637,c_106443]) ).
tff(c_122852,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_122851]) ).
tff(c_122781,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_121396,c_320]) ).
tff(c_122638,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_121399,c_121388]) ).
tff(c_122639,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_122638]) ).
tff(c_122786,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122639,c_334]) ).
tff(c_122736,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122625,c_95484]) ).
tff(c_122737,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_122630,c_122736]) ).
tff(c_122738,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_122737]) ).
tff(c_122760,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_122738,c_122639,c_324]) ).
tff(c_122761,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_122737]) ).
tff(c_122765,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122761,c_378]) ).
tff(c_122845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122781,c_122786,c_122765,c_106431]) ).
tff(c_122846,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_122638]) ).
tff(c_123013,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122852,c_122846]) ).
tff(c_123014,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_123013]) ).
tff(c_123021,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123014,c_342]) ).
tff(c_122857,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_122852,c_220]) ).
tff(c_122862,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_121398,c_106235]) ).
tff(c_122863,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_122862]) ).
tff(c_122874,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122863,c_236]) ).
tff(c_122848,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122625,c_254]) ).
tff(c_122923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122857,c_122874,c_122848,c_115942]) ).
tff(c_122924,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_122862]) ).
tff(c_123043,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_123021,c_122924]) ).
tff(c_123048,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123043,c_376]) ).
tff(c_123082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122981,c_122934,c_123048,c_106431]) ).
tff(c_123083,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_122929]) ).
tff(c_123090,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123083,c_366]) ).
tff(c_123153,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122852,c_122846]) ).
tff(c_123154,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_123153]) ).
tff(c_123160,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123154,c_342]) ).
tff(c_123182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123090,c_123160,c_122924]) ).
tff(c_123183,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_122851]) ).
tff(c_123281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123229,c_123188,c_123183]) ).
tff(c_123283,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_123185]) ).
tff(c_123286,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122625,c_95484]) ).
tff(c_123287,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_122630,c_123286]) ).
tff(c_123288,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_123287]) ).
tff(c_123301,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123288,c_106314]) ).
tff(c_123302,plain,
( ( op(e1,e3) = e1 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_123283,c_406,c_123301]) ).
tff(c_123303,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_123302]) ).
tff(c_123306,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_123303,c_216]) ).
tff(c_123353,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123306,c_122848,c_115942]) ).
tff(c_123360,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123353,c_240]) ).
tff(c_123385,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_123360,c_123183]) ).
tff(c_123393,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123385,c_370]) ).
tff(c_123282,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_123185]) ).
tff(c_123411,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_123393,c_123282]) ).
tff(c_123376,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_123288,c_166]) ).
tff(c_123412,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_123411,c_123411,c_123376]) ).
tff(c_123423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_123412]) ).
tff(c_123424,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_123302]) ).
tff(c_123429,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123424,c_270]) ).
tff(c_123499,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_123429,c_123183]) ).
tff(c_123529,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123499,c_123282]) ).
tff(c_123530,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_123529]) ).
tff(c_123489,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_123288,c_166]) ).
tff(c_123533,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_123530,c_123530,c_123489]) ).
tff(c_123542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_123533]) ).
tff(c_123543,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_123287]) ).
tff(c_123552,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123543,c_372]) ).
tff(c_122629,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122625,c_242]) ).
tff(c_123557,plain,
( ( op(e1,e3) = e1 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_123283,c_122629,c_106314]) ).
tff(c_123558,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_123557]) ).
tff(c_123561,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_123558,c_216]) ).
tff(c_123595,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123561,c_122848,c_115942]) ).
tff(c_123601,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123595,c_240]) ).
tff(c_123622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123552,c_123601,c_123183]) ).
tff(c_123623,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_123557]) ).
tff(c_123692,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_123552,c_123183]) ).
tff(c_123674,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_123623,c_168]) ).
tff(c_123693,plain,
op(e1,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_123692,c_123674]) ).
tff(c_123702,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_123623,c_123693]) ).
tff(c_123704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_123702]) ).
tff(c_123705,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_124283,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_123705]) ).
tff(c_124290,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124283,c_372]) ).
tff(c_124286,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124283,c_270]) ).
tff(c_123708,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_124164,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_123708,c_214]) ).
tff(c_123710,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_123708,c_302]) ).
tff(c_124150,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_123710,c_106235]) ).
tff(c_124151,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_124150]) ).
tff(c_124159,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124151,c_236]) ).
tff(c_124170,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_124164,c_124159,c_115942]) ).
tff(c_124250,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_124170,c_85118,c_180]) ).
tff(c_124251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_124250]) ).
tff(c_124253,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_124150]) ).
tff(c_124068,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_106314]) ).
tff(c_124110,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123708,c_124068,c_202]) ).
tff(c_124111,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_106314]) ).
tff(c_124338,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_124286,c_124253,c_124111]) ).
tff(c_124345,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124338,c_246]) ).
tff(c_123712,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_123708,c_314]) ).
tff(c_123709,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_123708,c_304]) ).
tff(c_123718,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_123709,c_95484]) ).
tff(c_123719,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_123718]) ).
tff(c_123722,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123719,c_338]) ).
tff(c_123723,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123719,c_332]) ).
tff(c_123868,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_123723,c_123705]) ).
tff(c_123869,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_123868]) ).
tff(c_123877,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123869,c_370]) ).
tff(c_123780,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_123710,c_106235]) ).
tff(c_123781,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_123780]) ).
tff(c_123816,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123719,c_123781,c_326]) ).
tff(c_123817,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_123780]) ).
tff(c_123952,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_123877,c_123817]) ).
tff(c_123943,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_123719,c_166]) ).
tff(c_123953,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_123952,c_123952,c_123943]) ).
tff(c_123964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_123953]) ).
tff(c_123965,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_123868]) ).
tff(c_123968,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123965,c_350]) ).
tff(c_124035,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_123968,c_123817]) ).
tff(c_124039,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124035,c_376]) ).
tff(c_124065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123712,c_123722,c_124039,c_106431]) ).
tff(c_124066,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_123718]) ).
tff(c_124357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124290,c_124345,c_124066]) ).
tff(c_124359,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_123705]) ).
tff(c_124256,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_123708,c_214]) ).
tff(c_124264,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_124256,c_115942]) ).
tff(c_124265,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_124264]) ).
tff(c_124271,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124265,c_240]) ).
tff(c_124113,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_124145,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124113,c_123708,c_208]) ).
tff(c_124146,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_124395,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_124359,c_124271,c_124146]) ).
tff(c_124401,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124395,c_252]) ).
tff(c_124513,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124395,c_124066]) ).
tff(c_124514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_124401,c_124513]) ).
tff(c_124515,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_124264]) ).
tff(c_124557,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_124515,c_85118,c_180]) ).
tff(c_124558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_124557]) ).
tff(c_124559,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_129099,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_128978,c_124559]) ).
tff(c_129100,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_129099]) ).
tff(c_128934,plain,
op(e4,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_128921,c_182]) ).
tff(c_129101,plain,
op(e4,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_129100,c_128934]) ).
tff(c_129115,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_129101,c_128921]) ).
tff(c_129117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_129115]) ).
tff(c_129118,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_129099]) ).
tff(c_129141,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129118,c_242]) ).
tff(c_124560,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_127439,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_124560,c_121388]) ).
tff(c_127440,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_127439]) ).
tff(c_127539,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127440,c_322]) ).
tff(c_126464,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_106314]) ).
tff(c_126471,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126464,c_121388]) ).
tff(c_126472,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_124560,c_402,c_126471]) ).
tff(c_126473,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_126472]) ).
tff(c_126474,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126473,c_348]) ).
tff(c_126825,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_126474,c_123705]) ).
tff(c_126826,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_126825]) ).
tff(c_126834,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126826,c_370]) ).
tff(c_126466,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_126464,c_216]) ).
tff(c_126810,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_126466,c_115942]) ).
tff(c_126811,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_126810]) ).
tff(c_126813,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126811,c_236]) ).
tff(c_126475,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126473,c_344]) ).
tff(c_126476,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126473,c_342]) ).
tff(c_126483,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_126476,c_106235]) ).
tff(c_126484,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_126483]) ).
tff(c_126669,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126484,c_124559]) ).
tff(c_126670,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_126669]) ).
tff(c_126671,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_126670]) ).
tff(c_126673,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126671,c_268]) ).
tff(c_126182,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_123705]) ).
tff(c_126188,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126182,c_368]) ).
tff(c_124990,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_124560,c_121388]) ).
tff(c_124991,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_124990]) ).
tff(c_125176,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124991,c_202]) ).
tff(c_124562,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_95484]) ).
tff(c_125191,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124562,c_124559]) ).
tff(c_125192,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_125191]) ).
tff(c_125193,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_125192]) ).
tff(c_125197,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125193,c_268]) ).
tff(c_125173,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124991,c_328]) ).
tff(c_125215,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_125197,c_125173,c_123705]) ).
tff(c_125218,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125215,c_350]) ).
tff(c_125196,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125193,c_262]) ).
tff(c_124566,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_124562,c_306]) ).
tff(c_125000,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_124566,c_106235]) ).
tff(c_125001,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_125000]) ).
tff(c_125028,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125001,c_124991,c_322]) ).
tff(c_125030,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_125000]) ).
tff(c_124937,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_124562,c_318]) ).
tff(c_124720,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_124562,c_318]) ).
tff(c_124574,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_106314]) ).
tff(c_124576,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_124574,c_216]) ).
tff(c_124582,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124574,c_121388]) ).
tff(c_124583,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_124560,c_402,c_124582]) ).
tff(c_124584,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_124583]) ).
tff(c_124588,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124584,c_342]) ).
tff(c_124595,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_124566,c_124588,c_106235]) ).
tff(c_124596,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_124595]) ).
tff(c_124605,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124596,c_236]) ).
tff(c_124654,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_124576,c_124605,c_115942]) ).
tff(c_124645,plain,
op(e0,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_180]) ).
tff(c_124655,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_124654,c_124645]) ).
tff(c_124665,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_124655]) ).
tff(c_124667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_124665]) ).
tff(c_124668,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_124595]) ).
tff(c_124676,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124668,c_370]) ).
tff(c_124586,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124584,c_348]) ).
tff(c_124740,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_124676,c_124586,c_123705]) ).
tff(c_124745,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124740,c_340]) ).
tff(c_124671,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124668,c_376]) ).
tff(c_124784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124720,c_124745,c_124671,c_106431]) ).
tff(c_124785,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_124583]) ).
tff(c_124788,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124785,c_368]) ).
tff(c_124789,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124785,c_362]) ).
tff(c_124796,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_124566,c_124789,c_106235]) ).
tff(c_124797,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_124796]) ).
tff(c_124806,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124797,c_236]) ).
tff(c_124805,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124797,c_230]) ).
tff(c_124808,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124785,c_106443]) ).
tff(c_124809,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_124805,c_124788,c_124808]) ).
tff(c_124812,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124809,c_260]) ).
tff(c_124834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124576,c_124806,c_124812,c_115942]) ).
tff(c_124835,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_124796]) ).
tff(c_124837,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124835,c_350]) ).
tff(c_124955,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_124788,c_124837,c_123705]) ).
tff(c_124960,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124955,c_340]) ).
tff(c_124790,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124785,c_374]) ).
tff(c_124986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124937,c_124960,c_124790,c_106431]) ).
tff(c_124987,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_106314]) ).
tff(c_125274,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_125196,c_125030,c_124987]) ).
tff(c_125280,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125274,c_250]) ).
tff(c_125032,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_125037,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_125032,c_220]) ).
tff(c_125073,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_125037,c_115942]) ).
tff(c_125074,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_125073]) ).
tff(c_125077,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125074,c_234]) ).
tff(c_125136,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124562,c_124559]) ).
tff(c_125137,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_125077,c_125136]) ).
tff(c_125051,plain,
op(e4,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_125032,c_182]) ).
tff(c_125139,plain,
op(e4,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_125137,c_125051]) ).
tff(c_125151,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_125139,c_125032]) ).
tff(c_125153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_125151]) ).
tff(c_125154,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_125073]) ).
tff(c_125060,plain,
op(e0,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_180]) ).
tff(c_125156,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_125154,c_125060]) ).
tff(c_125166,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_125156]) ).
tff(c_125168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_125166]) ).
tff(c_125169,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_125310,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_125197,c_125280,c_125169]) ).
tff(c_125029,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_125000]) ).
tff(c_125337,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125310,c_125029]) ).
tff(c_125338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_125218,c_125337]) ).
tff(c_125339,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_125192]) ).
tff(c_125448,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_125339,c_124991,c_154]) ).
tff(c_125449,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_125448,c_125448,c_164]) ).
tff(c_125458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125176,c_125449]) ).
tff(c_125459,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_124990]) ).
tff(c_126297,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_126188,c_125459]) ).
tff(c_126224,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_124562,c_156]) ).
tff(c_126299,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_126297,c_126297,c_126224]) ).
tff(c_126309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_126299]) ).
tff(c_126311,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_123705]) ).
tff(c_125462,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_124566,c_106235]) ).
tff(c_125463,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_125462]) ).
tff(c_125529,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125463,c_330]) ).
tff(c_125603,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_125529,c_123705]) ).
tff(c_125604,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_125603]) ).
tff(c_125608,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125604,c_268]) ).
tff(c_125468,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125463,c_222]) ).
tff(c_125621,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124562,c_124559]) ).
tff(c_125622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125608,c_404,c_125468,c_125621]) ).
tff(c_125623,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_125603]) ).
tff(c_125626,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125623,c_352]) ).
tff(c_125624,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_125603]) ).
tff(c_125464,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125463,c_230]) ).
tff(c_125475,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_125464,c_106443]) ).
tff(c_125476,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_125475]) ).
tff(c_125481,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_125476,c_220]) ).
tff(c_125465,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125463,c_236]) ).
tff(c_125514,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_125481,c_125465,c_115942]) ).
tff(c_125509,plain,
op(op(e2,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_196]) ).
tff(c_125515,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_125514,c_125514,c_125509]) ).
tff(c_125526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_125515]) ).
tff(c_125527,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_125475]) ).
tff(c_125712,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_125624,c_125527]) ).
tff(c_125661,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_125623,c_178]) ).
tff(c_125713,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_125712,c_125661]) ).
tff(c_125724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125626,c_125713]) ).
tff(c_125726,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_125462]) ).
tff(c_125925,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124562,c_124559]) ).
tff(c_125926,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_125925]) ).
tff(c_125927,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_125926]) ).
tff(c_125932,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125927,c_268]) ).
tff(c_125949,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_125932,c_123705]) ).
tff(c_125950,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_125949]) ).
tff(c_125957,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125950,c_348]) ).
tff(c_126057,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_125957,c_125459]) ).
tff(c_125928,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_125927,c_182]) ).
tff(c_126059,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_126057,c_125928]) ).
tff(c_126068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125932,c_126059]) ).
tff(c_126069,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_125949]) ).
tff(c_126124,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126069,c_124987]) ).
tff(c_126125,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_125726,c_126124]) ).
tff(c_126131,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126125,c_250]) ).
tff(c_125729,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_125735,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_125729,c_220]) ).
tff(c_125782,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_125735,c_115942]) ).
tff(c_125783,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_125782]) ).
tff(c_125788,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125783,c_234]) ).
tff(c_125860,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124562,c_124559]) ).
tff(c_125861,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_125788,c_125860]) ).
tff(c_125746,plain,
op(e4,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_125729,c_182]) ).
tff(c_125862,plain,
op(e4,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_125861,c_125746]) ).
tff(c_125875,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_125862,c_125729]) ).
tff(c_125877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_125875]) ).
tff(c_125878,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_125782]) ).
tff(c_125773,plain,
op(e0,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_180]) ).
tff(c_125880,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_125878,c_125773]) ).
tff(c_125891,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_125880]) ).
tff(c_125893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_125891]) ).
tff(c_125894,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_126151,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_125932,c_126131,c_125894]) ).
tff(c_126072,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_126069,c_168]) ).
tff(c_126152,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_126151,c_126072]) ).
tff(c_126162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125726,c_126152]) ).
tff(c_126163,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_125926]) ).
tff(c_126166,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126163,c_228]) ).
tff(c_126408,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_126311,c_126166,c_125894]) ).
tff(c_126416,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126408,c_252]) ).
tff(c_126380,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_125726,c_124987]) ).
tff(c_126381,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_126380]) ).
tff(c_126310,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_123705]) ).
tff(c_126431,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126381,c_126310]) ).
tff(c_126432,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_126431]) ).
tff(c_126409,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_126408,c_178]) ).
tff(c_126434,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_126432,c_126409]) ).
tff(c_126444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126416,c_126434]) ).
tff(c_126445,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_126380]) ).
tff(c_126452,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126445,c_250]) ).
tff(c_126461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126311,c_126452,c_126166,c_125894]) ).
tff(c_126462,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_95484]) ).
tff(c_126534,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_126475,c_126462]) ).
tff(c_126535,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_126534]) ).
tff(c_126543,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126535,c_372]) ).
tff(c_126608,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_126466,c_115942]) ).
tff(c_126609,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_126608]) ).
tff(c_126617,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126609,c_240]) ).
tff(c_126498,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_126514,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126498,c_126464,c_210]) ).
tff(c_126515,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_126638,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126535,c_126515]) ).
tff(c_126639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126543,c_412,c_126617,c_126638]) ).
tff(c_126640,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_126608]) ).
tff(c_126572,plain,
op(e0,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_180]) ).
tff(c_126642,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_126640,c_126572]) ).
tff(c_126652,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_126642]) ).
tff(c_126654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_126652]) ).
tff(c_126655,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_126534]) ).
tff(c_126664,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126655,c_332]) ).
tff(c_126688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126673,c_126474,c_126664,c_123705]) ).
tff(c_126689,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_126670]) ).
tff(c_126776,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_126689,c_126473,c_172]) ).
tff(c_126777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126475,c_126776]) ).
tff(c_126778,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_126483]) ).
tff(c_126944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126834,c_126813,c_126778]) ).
tff(c_126946,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_126825]) ).
tff(c_126817,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126811,c_240]) ).
tff(c_126945,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_126825]) ).
tff(c_126954,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126945,c_332]) ).
tff(c_126996,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_126475,c_126954,c_126462]) ).
tff(c_126784,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_126797,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126784,c_126464,c_210]) ).
tff(c_126798,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_127022,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126996,c_126798]) ).
tff(c_127023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126946,c_412,c_126817,c_127022]) ).
tff(c_127024,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_126810]) ).
tff(c_127039,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_127024,c_85118,c_180]) ).
tff(c_127040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_127039]) ).
tff(c_127041,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_126472]) ).
tff(c_127272,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127041,c_368]) ).
tff(c_127271,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127041,c_364]) ).
tff(c_127289,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_127271,c_126462]) ).
tff(c_127290,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_127289]) ).
tff(c_127298,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127290,c_244]) ).
tff(c_127304,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_127298,c_124559]) ).
tff(c_127305,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_127304]) ).
tff(c_127342,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_127305,c_127041,c_182]) ).
tff(c_127343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127272,c_127342]) ).
tff(c_127344,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_127304]) ).
tff(c_127293,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127290,c_258]) ).
tff(c_127346,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_126466,c_127293,c_115942]) ).
tff(c_127349,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127346,c_234]) ).
tff(c_127373,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_127344,c_127349]) ).
tff(c_127374,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_127289]) ).
tff(c_127383,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127374,c_332]) ).
tff(c_127273,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127041,c_362]) ).
tff(c_127402,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_127272,c_123705]) ).
tff(c_127403,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_127402]) ).
tff(c_127406,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127403,c_350]) ).
tff(c_127376,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127374,c_326]) ).
tff(c_127073,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127041,c_368]) ).
tff(c_127058,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_106235]) ).
tff(c_127116,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127058,c_124559]) ).
tff(c_127117,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_127116]) ).
tff(c_127118,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_127117]) ).
tff(c_127170,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_127118,c_127041,c_182]) ).
tff(c_127171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127073,c_127170]) ).
tff(c_127172,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_127117]) ).
tff(c_127175,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127172,c_248]) ).
tff(c_127087,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_126466,c_115942]) ).
tff(c_127088,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_127087]) ).
tff(c_127093,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127088,c_240]) ).
tff(c_127043,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_127053,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_127041,c_127043]) ).
tff(c_127055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_127053]) ).
tff(c_127056,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_127200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127073,c_127175,c_127093,c_127056]) ).
tff(c_127201,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_127087]) ).
tff(c_127206,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127201,c_254]) ).
tff(c_127230,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127058,c_124559]) ).
tff(c_127231,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_127206,c_402,c_127230]) ).
tff(c_127266,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_127231,c_127041,c_182]) ).
tff(c_127267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127073,c_127266]) ).
tff(c_127268,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106235]) ).
tff(c_127433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127273,c_127406,c_127376,c_127268]) ).
tff(c_127434,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_127402]) ).
tff(c_127436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127383,c_127434]) ).
tff(c_127437,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_106314]) ).
tff(c_127543,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_127539,c_127437]) ).
tff(c_127544,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_127543]) ).
tff(c_127549,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127544,c_270]) ).
tff(c_127612,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127544,c_123705]) ).
tff(c_127613,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_127549,c_410,c_127612]) ).
tff(c_127536,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127440,c_324]) ).
tff(c_127566,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_127536,c_126462]) ).
tff(c_127567,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_127566]) ).
tff(c_127635,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_127613,c_127613,c_127567,c_186]) ).
tff(c_127636,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_127635]) ).
tff(c_127637,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_127566]) ).
tff(c_127641,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127637,c_352]) ).
tff(c_127666,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127544,c_123705]) ).
tff(c_127667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127549,c_127641,c_410,c_127666]) ).
tff(c_127668,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_127543]) ).
tff(c_127674,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127668,c_246]) ).
tff(c_127682,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127668,c_126462]) ).
tff(c_127683,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_127674,c_406,c_127682]) ).
tff(c_127691,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127683,c_372]) ).
tff(c_127541,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127440,c_328]) ).
tff(c_127742,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_127691,c_127541,c_123705]) ).
tff(c_127737,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_127683,c_178]) ).
tff(c_127743,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_127742,c_127737]) ).
tff(c_127753,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_127683,c_127743]) ).
tff(c_127755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_127753]) ).
tff(c_127756,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_127439]) ).
tff(c_129181,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128921,c_127756]) ).
tff(c_129182,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_129181]) ).
tff(c_129187,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129182,c_348]) ).
tff(c_128977,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128974,c_236]) ).
tff(c_129149,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_128977,c_127437]) ).
tff(c_129150,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_129149]) ).
tff(c_128989,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_123705]) ).
tff(c_128994,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128989,c_270]) ).
tff(c_128996,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128989,c_372]) ).
tff(c_128992,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128989,c_268]) ).
tff(c_129010,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_128992,c_128978,c_124559]) ).
tff(c_129018,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129010,c_244]) ).
tff(c_129029,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_128996,c_129018,c_126462]) ).
tff(c_129062,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129029,c_127437]) ).
tff(c_129063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128994,c_406,c_128977,c_129062]) ).
tff(c_129064,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_123705]) ).
tff(c_129208,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129150,c_129064]) ).
tff(c_129209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_129187,c_129208]) ).
tff(c_129210,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_129149]) ).
tff(c_129212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129141,c_129210]) ).
tff(c_129213,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_128973]) ).
tff(c_128952,plain,
op(op(e2,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_85118,c_196]) ).
tff(c_129215,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_129213,c_129213,c_128952]) ).
tff(c_129227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_129215]) ).
tff(c_129228,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_129535,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_129228]) ).
tff(c_129539,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129535,c_270]) ).
tff(c_129542,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129535,c_372]) ).
tff(c_129537,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129535,c_268]) ).
tff(c_129614,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_129537,c_124559]) ).
tff(c_129615,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_129614]) ).
tff(c_129623,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129615,c_244]) ).
tff(c_129630,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_129542,c_129623,c_126462]) ).
tff(c_129635,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129630,c_326]) ).
tff(c_129657,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129630,c_127437]) ).
tff(c_129658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129539,c_406,c_129635,c_129657]) ).
tff(c_129659,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_129614]) ).
tff(c_129669,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129659,c_222]) ).
tff(c_129675,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_129542,c_126462]) ).
tff(c_129676,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_129675]) ).
tff(c_129682,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129676,c_246]) ).
tff(c_129694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129539,c_129682,c_129669,c_127437]) ).
tff(c_129695,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_129675]) ).
tff(c_129715,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129695,c_127437]) ).
tff(c_129716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129539,c_406,c_129669,c_129715]) ).
tff(c_129718,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_129228]) ).
tff(c_129774,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_129718,c_123705]) ).
tff(c_129775,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_129774]) ).
tff(c_129778,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129775,c_352]) ).
tff(c_129888,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_129778,c_126462]) ).
tff(c_129889,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_129888]) ).
tff(c_129776,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_129775,c_178]) ).
tff(c_129891,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_129889,c_129889,c_129776]) ).
tff(c_129901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_129891]) ).
tff(c_129902,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_129888]) ).
tff(c_129906,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129902,c_326]) ).
tff(c_129777,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129775,c_350]) ).
tff(c_127761,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_106235]) ).
tff(c_128456,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127761,c_124559]) ).
tff(c_128457,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_128456]) ).
tff(c_128458,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_128457]) ).
tff(c_128461,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128458,c_268]) ).
tff(c_128484,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_128461,c_123705]) ).
tff(c_128485,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_128484]) ).
tff(c_128492,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128485,c_348]) ).
tff(c_128571,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_128492,c_127756]) ).
tff(c_128459,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_128458,c_182]) ).
tff(c_128573,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_128571,c_128459]) ).
tff(c_128582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128461,c_128573]) ).
tff(c_128583,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_128484]) ).
tff(c_128588,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128583,c_330]) ).
tff(c_128593,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128583,c_332]) ).
tff(c_127952,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127761,c_124559]) ).
tff(c_127953,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_127952]) ).
tff(c_127954,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_127953]) ).
tff(c_127774,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_106443]) ).
tff(c_127791,plain,
op(e4,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_127774,c_182]) ).
tff(c_127955,plain,
op(e4,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_127954,c_127791]) ).
tff(c_127968,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_127955,c_127774]) ).
tff(c_127970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_127968]) ).
tff(c_127971,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_127953]) ).
tff(c_127977,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127971,c_304]) ).
tff(c_128013,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127774,c_127756]) ).
tff(c_128014,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_128013]) ).
tff(c_128035,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_128014,c_127971,c_156]) ).
tff(c_128038,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_128035,c_128035,c_176]) ).
tff(c_128045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127977,c_128038]) ).
tff(c_128046,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106443]) ).
tff(c_128635,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_128461,c_128046]) ).
tff(c_128636,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_128635]) ).
tff(c_128644,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128636,c_252]) ).
tff(c_128297,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_126462]) ).
tff(c_128305,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128297,c_372]) ).
tff(c_128347,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_128305,c_123705]) ).
tff(c_128348,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_128347]) ).
tff(c_128330,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_128297,c_186]) ).
tff(c_128349,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_128348,c_128348,c_128330]) ).
tff(c_128359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_128349]) ).
tff(c_128360,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_128347]) ).
tff(c_128365,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128360,c_330]) ).
tff(c_128407,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128297,c_128046]) ).
tff(c_128408,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_128305,c_412,c_128407]) ).
tff(c_128363,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_128360,c_168]) ).
tff(c_128410,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_128408,c_128363]) ).
tff(c_128420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128365,c_128410]) ).
tff(c_128421,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_126462]) ).
tff(c_128691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128593,c_128644,c_128421]) ).
tff(c_128692,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_128635]) ).
tff(c_128586,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_128583,c_168]) ).
tff(c_128695,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_128692,c_128586]) ).
tff(c_128705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128588,c_128695]) ).
tff(c_128706,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_128457]) ).
tff(c_128715,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128706,c_244]) ).
tff(c_128721,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_123705]) ).
tff(c_128728,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128721,c_368]) ).
tff(c_128787,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_128728,c_127756]) ).
tff(c_128708,plain,
op(op(e4,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_128706,c_172]) ).
tff(c_128790,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_128787,c_128708]) ).
tff(c_128799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128715,c_128790]) ).
tff(c_128801,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_123705]) ).
tff(c_128710,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128706,c_248]) ).
tff(c_128856,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_128801,c_128710,c_128046]) ).
tff(c_128860,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128856,c_230]) ).
tff(c_128902,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_128715,c_128421]) ).
tff(c_128061,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_127437]) ).
tff(c_128067,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128061,c_270]) ).
tff(c_128066,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128061,c_262]) ).
tff(c_128216,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127761,c_124559]) ).
tff(c_128217,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_128066,c_402,c_128216]) ).
tff(c_128219,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128217,c_248]) ).
tff(c_128248,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_128067,c_128219,c_128046]) ).
tff(c_128062,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_128061,c_168]) ).
tff(c_128249,plain,
op(e1,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_128248,c_128062]) ).
tff(c_128258,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_128061,c_128249]) ).
tff(c_128260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_128258]) ).
tff(c_128261,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_127437]) ).
tff(c_128917,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128902,c_128261]) ).
tff(c_128918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128860,c_406,c_128917]) ).
tff(c_128919,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_106235]) ).
tff(c_129255,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_128919]) ).
tff(c_129264,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129255,c_370]) ).
tff(c_129437,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_129264,c_123705]) ).
tff(c_129438,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_129437]) ).
tff(c_129388,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129255,c_129228]) ).
tff(c_129389,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_129264,c_410,c_129388]) ).
tff(c_129456,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_129438,c_129389,c_186]) ).
tff(c_129516,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_129456,c_129438,c_129389,c_178]) ).
tff(c_129517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_129516]) ).
tff(c_129518,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_129437]) ).
tff(c_129256,plain,
op(op(e1,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_129255,c_168]) ).
tff(c_129520,plain,
op(e3,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_129518,c_129256]) ).
tff(c_129530,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_129255,c_129520]) ).
tff(c_129532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_129530]) ).
tff(c_129533,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_128919]) ).
tff(c_129977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129906,c_129777,c_129533]) ).
tff(c_129978,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_129774]) ).
tff(c_129982,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129978,c_330]) ).
tff(c_129993,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129978,c_127437]) ).
tff(c_129994,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_129982,c_129993]) ).
tff(c_130000,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129994,c_246]) ).
tff(c_130008,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129994,c_126462]) ).
tff(c_130009,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_130000,c_406,c_130008]) ).
tff(c_129717,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_129228]) ).
tff(c_130096,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130009,c_129717]) ).
tff(c_130097,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_130096]) ).
tff(c_129980,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_129978,c_168]) ).
tff(c_130098,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_130097,c_129980]) ).
tff(c_130108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129982,c_130098]) ).
tff(c_130109,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_130548,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_130551,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_130548,c_218]) ).
tff(c_130675,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130444,c_268]) ).
tff(c_130561,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_130606,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130548,c_130561,c_204]) ).
tff(c_130607,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_130686,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_130675,c_130607]) ).
tff(c_130687,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_130686]) ).
tff(c_130715,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_130687,c_130687,c_130548,c_156]) ).
tff(c_130716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_130715]) ).
tff(c_130717,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_130686]) ).
tff(c_130719,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130717,c_234]) ).
tff(c_130442,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_296]) ).
tff(c_130453,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( e2 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_444]) ).
tff(c_130454,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130442,c_418,c_130453]) ).
tff(c_130455,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_130454]) ).
tff(c_130482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130455,c_130444,c_280]) ).
tff(c_130483,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_130454]) ).
tff(c_130745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130551,c_130719,c_130483]) ).
tff(c_130746,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_130829,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_130752,c_130746]) ).
tff(c_130830,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_130829]) ).
tff(c_130832,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130830,c_358]) ).
tff(c_130485,plain,
( ( op(e0,e4) = e4 )
| ( e3 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_434]) ).
tff(c_130486,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130442,c_416,c_130485]) ).
tff(c_130487,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_130486]) ).
tff(c_130534,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130487,c_130444,c_380]) ).
tff(c_130535,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_130486]) ).
tff(c_130848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130758,c_130832,c_130535]) ).
tff(c_130849,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_130829]) ).
tff(c_130855,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130849,c_238]) ).
tff(c_130888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130789,c_130855,c_130483]) ).
tff(c_130890,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_130754]) ).
tff(c_130451,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130444,c_368]) ).
tff(c_130116,plain,
op(e4,e0) = e0,
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_130290,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_130116,c_384]) ).
tff(c_130291,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_131052,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130890,c_130451,c_130291]) ).
tff(c_131053,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_131052]) ).
tff(c_131063,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131053,c_322]) ).
tff(c_131072,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_130752,c_130746]) ).
tff(c_131073,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_131072]) ).
tff(c_131080,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_131073,c_346]) ).
tff(c_130446,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130444,c_370]) ).
tff(c_130301,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_130438,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_130301,c_386]) ).
tff(c_130439,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_130893,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_130446,c_130439]) ).
tff(c_130894,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_130893]) ).
tff(c_130900,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_130894,c_316]) ).
tff(c_130905,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130890,c_130451,c_130291]) ).
tff(c_130906,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_130905]) ).
tff(c_131014,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_130906,c_130894,c_130906,c_154]) ).
tff(c_131015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_131014]) ).
tff(c_131016,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_130905]) ).
tff(c_131018,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_131016,c_354]) ).
tff(c_131048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130900,c_131018,c_130535]) ).
tff(c_131049,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_130893]) ).
tff(c_131144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131080,c_131063,c_131049]) ).
tff(c_131145,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_131072]) ).
tff(c_131229,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131145,c_131049]) ).
tff(c_131230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_131063,c_131229]) ).
tff(c_131231,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_131052]) ).
tff(c_131236,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_131231,c_344]) ).
tff(c_131279,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_130752,c_131236,c_130746]) ).
tff(c_131287,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131279,c_226]) ).
tff(c_131361,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131279,c_131049]) ).
tff(c_131362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_131287,c_131361]) ).
tff(c_131364,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_130443]) ).
tff(c_135990,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_131364,c_85116]) ).
tff(c_135991,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_135990]) ).
tff(c_136179,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_135991,c_320]) ).
tff(c_132933,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_132973,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_132933,c_214]) ).
tff(c_131366,plain,
( ( op(e0,e4) = e4 )
| ( e3 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_434]) ).
tff(c_131367,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130442,c_416,c_131366]) ).
tff(c_131368,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_131367]) ).
tff(c_131387,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131368,c_300]) ).
tff(c_131377,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( e2 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_444]) ).
tff(c_131378,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130442,c_418,c_131377]) ).
tff(c_131379,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_131378]) ).
tff(c_131980,plain,
op(e1,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_131368,c_131379,c_198]) ).
tff(c_132010,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_131980,c_131980,c_188]) ).
tff(c_132011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131387,c_132010]) ).
tff(c_132012,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_131378]) ).
tff(c_133118,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_132973,c_132012]) ).
tff(c_133135,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_133118,c_130293,c_170]) ).
tff(c_133136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_133135]) ).
tff(c_133138,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_131371,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131368,c_374]) ).
tff(c_133843,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_133138,c_131371,c_130291]) ).
tff(c_133844,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_133843]) ).
tff(c_134002,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133844,c_328]) ).
tff(c_132389,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_131364,c_85116]) ).
tff(c_132390,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_132389]) ).
tff(c_132393,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_132390,c_310]) ).
tff(c_131372,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131368,c_376]) ).
tff(c_132556,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_132393,c_131372,c_130439]) ).
tff(c_132557,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_132556]) ).
tff(c_132559,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132557,c_230]) ).
tff(c_132394,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_132390,c_308]) ).
tff(c_132400,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132390,c_50475]) ).
tff(c_132401,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_132394,c_408,c_132400]) ).
tff(c_132402,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_132401]) ).
tff(c_132405,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132402,c_228]) ).
tff(c_131363,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_130443]) ).
tff(c_132450,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_132405,c_131363]) ).
tff(c_132451,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_132450]) ).
tff(c_132458,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_132451,c_220]) ).
tff(c_132445,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132402,c_234]) ).
tff(c_132508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132458,c_132445,c_132012]) ).
tff(c_132509,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_132450]) ).
tff(c_132406,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132402,c_222]) ).
tff(c_132424,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132402,c_130439]) ).
tff(c_132425,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_132406,c_131372,c_132424]) ).
tff(c_132428,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132425,c_346]) ).
tff(c_132024,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_132028,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_132024,c_218]) ).
tff(c_132366,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_132028,c_132012]) ).
tff(c_132383,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_132366,c_132366,c_130293,c_194]) ).
tff(c_132384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_132383]) ).
tff(c_132385,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_132525,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132425,c_132385]) ).
tff(c_132526,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_132428,c_406,c_132525]) ).
tff(c_132540,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_132509,c_132526,c_132509,c_186]) ).
tff(c_132541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_132540]) ).
tff(c_132542,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_132401]) ).
tff(c_132548,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132542,c_248]) ).
tff(c_132634,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_132559,c_132548,c_131363]) ).
tff(c_132639,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_132634,c_220]) ).
tff(c_132558,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132557,c_236]) ).
tff(c_132663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132639,c_132558,c_132012]) ).
tff(c_132664,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_132556]) ).
tff(c_132689,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132664,c_356]) ).
tff(c_130110,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_132681,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_258]) ).
tff(c_132546,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132542,c_244]) ).
tff(c_132762,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132664,c_132385]) ).
tff(c_132763,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_132546,c_406,c_132762]) ).
tff(c_108,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_132917,plain,
( ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132763,c_132664,c_108]) ).
tff(c_132918,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_130110,c_420,c_132681,c_418,c_132917]) ).
tff(c_132884,plain,
op(op(e4,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_132542,c_172]) ).
tff(c_132919,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_132918,c_132884]) ).
tff(c_132930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132689,c_132919]) ).
tff(c_132931,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_132389]) ).
tff(c_134197,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_134002,c_132931]) ).
tff(c_134204,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134197,c_350]) ).
tff(c_133856,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133844,c_322]) ).
tff(c_133307,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_131363]) ).
tff(c_133312,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_133307,c_220]) ).
tff(c_133415,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_133312,c_132012]) ).
tff(c_133431,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_133415,c_130293,c_170]) ).
tff(c_133432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_133431]) ).
tff(c_133433,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_131363]) ).
tff(c_133778,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_133433]) ).
tff(c_133783,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_133778,c_248]) ).
tff(c_133140,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_131372,c_130439]) ).
tff(c_133141,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_133140]) ).
tff(c_133152,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_133138,c_131371,c_130291]) ).
tff(c_133153,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_133152]) ).
tff(c_133290,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_133141,c_133141,c_133153,c_162]) ).
tff(c_133291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_133290]) ).
tff(c_133292,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_133152]) ).
tff(c_133448,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_133292,c_204]) ).
tff(c_133297,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_133292,c_344]) ).
tff(c_133435,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_133297,c_132385]) ).
tff(c_133436,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_133435]) ).
tff(c_133441,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_133436,c_264]) ).
tff(c_133137,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_133450,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133141,c_133137]) ).
tff(c_133451,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_133441,c_402,c_133450]) ).
tff(c_133515,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_133451,c_133292,c_156]) ).
tff(c_133516,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_133515,c_133515,c_176]) ).
tff(c_133525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133448,c_133516]) ).
tff(c_133526,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_133435]) ).
tff(c_133548,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133526,c_238]) ).
tff(c_133566,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_133548,c_132012]) ).
tff(c_133569,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_133566,c_388]) ).
tff(c_132017,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131368,c_300]) ).
tff(c_133542,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133526,c_232]) ).
tff(c_133579,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_133542,c_133433]) ).
tff(c_133723,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131368,c_133579,c_128]) ).
tff(c_133724,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_418,c_133723]) ).
tff(c_133725,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_133724]) ).
tff(c_133726,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_133725,c_133725,c_188]) ).
tff(c_133735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132017,c_133726]) ).
tff(c_133736,plain,
( ( op(e3,e1) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_133724]) ).
tff(c_133738,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_133736]) ).
tff(c_133528,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133141,c_133137]) ).
tff(c_133529,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_133528]) ).
tff(c_133530,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_133529]) ).
tff(c_133700,plain,
op(e1,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_133530,c_158]) ).
tff(c_133739,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_133738,c_133700]) ).
tff(c_133749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133569,c_133739]) ).
tff(c_133750,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_133736]) ).
tff(c_133296,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_133292,c_348]) ).
tff(c_133554,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_133296,c_132931]) ).
tff(c_133627,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_133554,c_168]) ).
tff(c_133752,plain,
op(e3,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_133750,c_133627]) ).
tff(c_133763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133548,c_133752]) ).
tff(c_133764,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_133529]) ).
tff(c_133803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133783,c_133764]) ).
tff(c_133804,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_133433]) ).
tff(c_133766,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133526,c_232]) ).
tff(c_133840,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_133804,c_133766]) ).
tff(c_133841,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_133140]) ).
tff(c_134216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134204,c_133856,c_133841]) ).
tff(c_134217,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_133843]) ).
tff(c_134222,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134217,c_342]) ).
tff(c_134221,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134217,c_344]) ).
tff(c_134284,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_134221,c_132385]) ).
tff(c_134285,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_134284]) ).
tff(c_134312,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134285,c_132931]) ).
tff(c_134313,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_134312]) ).
tff(c_134316,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134313,c_330]) ).
tff(c_134343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134222,c_134316,c_133841]) ).
tff(c_134344,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_134284]) ).
tff(c_134353,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134344,c_226]) ).
tff(c_134385,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134344,c_133841]) ).
tff(c_134386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_134353,c_134385]) ).
tff(c_134387,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_131367]) ).
tff(c_136243,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_136179,c_134387]) ).
tff(c_136359,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_136243,c_130111,c_180]) ).
tff(c_136360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_136359]) ).
tff(c_136361,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_135990]) ).
tff(c_137690,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_136361]) ).
tff(c_137692,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137690,c_350]) ).
tff(c_136956,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_130439]) ).
tff(c_136964,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_136956,c_316]) ).
tff(c_137163,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_136964,c_134387]) ).
tff(c_137158,plain,
op(op(e0,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_180]) ).
tff(c_137164,plain,
op(e2,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_137163,c_137158]) ).
tff(c_137173,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_137164]) ).
tff(c_137175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_137173]) ).
tff(c_137176,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_130439]) ).
tff(c_137202,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_137176]) ).
tff(c_137256,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_136361]) ).
tff(c_137262,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137256,c_348]) ).
tff(c_137228,plain,
( ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137202,c_131363]) ).
tff(c_137229,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_137228]) ).
tff(c_137230,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_137229]) ).
tff(c_134389,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( e2 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_444]) ).
tff(c_134390,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130442,c_418,c_134389]) ).
tff(c_134391,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_134390]) ).
tff(c_134393,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_134391,c_274]) ).
tff(c_134413,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_134393,c_50475]) ).
tff(c_134414,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_134413]) ).
tff(c_134417,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_134414,c_314]) ).
tff(c_134499,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_134414,c_302]) ).
tff(c_134416,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_134414,c_308]) ).
tff(c_134482,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_134416,c_131364,c_85116]) ).
tff(c_134483,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_134482]) ).
tff(c_134498,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134483,c_330]) ).
tff(c_134502,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_134499,c_134498,c_130439]) ).
tff(c_134503,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_134502]) ).
tff(c_134507,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134503,c_346]) ).
tff(c_134392,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_134391,c_278]) ).
tff(c_134422,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_134392,c_130109]) ).
tff(c_134423,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_134422]) ).
tff(c_134478,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134414,c_134423,c_204]) ).
tff(c_134479,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_134422]) ).
tff(c_134566,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134503,c_134479]) ).
tff(c_134567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134507,c_406,c_134566]) ).
tff(c_134568,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_134502]) ).
tff(c_134636,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_134568,c_134568,c_134483,c_168]) ).
tff(c_134637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_134636]) ).
tff(c_134638,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_134482]) ).
tff(c_134688,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134638,c_360]) ).
tff(c_134767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134417,c_134688,c_134387]) ).
tff(c_134769,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_134413]) ).
tff(c_136363,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_134769,c_130291]) ).
tff(c_136364,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_136363]) ).
tff(c_136473,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136364,c_328]) ).
tff(c_136803,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_136473,c_136361]) ).
tff(c_136808,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136803,c_352]) ).
tff(c_134773,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_134392,c_130109]) ).
tff(c_134774,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_134773]) ).
tff(c_135195,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_212]) ).
tff(c_135329,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_135195,c_131363]) ).
tff(c_135330,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_135329]) ).
tff(c_135337,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135330,c_228]) ).
tff(c_134768,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_134413]) ).
tff(c_135420,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_135337,c_134768]) ).
tff(c_135320,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_156]) ).
tff(c_135423,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_135420,c_135420,c_135320]) ).
tff(c_135432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_135423]) ).
tff(c_135433,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_135329]) ).
tff(c_135443,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135433,c_372]) ).
tff(c_135186,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_130291]) ).
tff(c_135187,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_134769,c_404,c_135186]) ).
tff(c_135188,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_135187]) ).
tff(c_135306,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135188,c_328]) ).
tff(c_134784,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_131364,c_85116]) ).
tff(c_134785,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_134784]) ).
tff(c_134811,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_130291]) ).
tff(c_134812,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_134769,c_404,c_134811]) ).
tff(c_134813,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_134812]) ).
tff(c_134790,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_134785,c_310]) ).
tff(c_134799,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_134790,c_130439]) ).
tff(c_134800,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_134799]) ).
tff(c_134822,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134813,c_134800,c_322]) ).
tff(c_134823,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_134812]) ).
tff(c_134903,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_134785,c_134823,c_134785,c_182]) ).
tff(c_134904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_134903]) ).
tff(c_134906,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_134799]) ).
tff(c_134924,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_212]) ).
tff(c_134963,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_134924,c_131363]) ).
tff(c_134964,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_134963]) ).
tff(c_134970,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134964,c_228]) ).
tff(c_135014,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_134970,c_134768]) ).
tff(c_134935,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_156]) ).
tff(c_135015,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_135014,c_135014,c_134935]) ).
tff(c_135025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_135015]) ).
tff(c_135026,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_134963]) ).
tff(c_135033,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135026,c_248]) ).
tff(c_135074,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_135033,c_134768]) ).
tff(c_134907,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_130291]) ).
tff(c_134908,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_134769,c_404,c_134907]) ).
tff(c_134909,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_134908]) ).
tff(c_135092,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_135074,c_134909,c_162]) ).
tff(c_135093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134906,c_135092]) ).
tff(c_135094,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_134908]) ).
tff(c_135180,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_134785,c_135094,c_134785,c_182]) ).
tff(c_135181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_135180]) ).
tff(c_135182,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_134784]) ).
tff(c_135546,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_135306,c_135182]) ).
tff(c_135435,plain,
op(e2,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_135433,c_186]) ).
tff(c_135547,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_135546,c_135435]) ).
tff(c_135560,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_135547,c_135547,c_176]) ).
tff(c_135569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135443,c_135560]) ).
tff(c_135570,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_135187]) ).
tff(c_135738,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135570,c_131363]) ).
tff(c_135739,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_135738]) ).
tff(c_135740,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_135739]) ).
tff(c_135748,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135740,c_228]) ).
tff(c_135795,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_135748,c_134768]) ).
tff(c_135702,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_156]) ).
tff(c_135797,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_135795,c_135795,c_135702]) ).
tff(c_135806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_135797]) ).
tff(c_135807,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_135739]) ).
tff(c_135815,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135807,c_248]) ).
tff(c_135862,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_135815,c_134768]) ).
tff(c_135868,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135862,c_222]) ).
tff(c_135573,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_135570,c_362]) ).
tff(c_135581,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_135573,c_130439]) ).
tff(c_135582,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_135581]) ).
tff(c_135676,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135582,c_134768]) ).
tff(c_135677,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_135676]) ).
tff(c_135639,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_156]) ).
tff(c_135678,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_135677,c_135677,c_135639]) ).
tff(c_135688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_135678]) ).
tff(c_135689,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_135581]) ).
tff(c_135890,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_135868,c_135689]) ).
tff(c_135895,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135890,c_350]) ).
tff(c_135928,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_135895,c_135182]) ).
tff(c_135938,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135928,c_332]) ).
tff(c_134407,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_334]) ).
tff(c_135691,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_135570,c_210]) ).
tff(c_135571,plain,
op(e4,e3) != e3,
inference(splitRight,[status(thm)],[c_135187]) ).
tff(c_135697,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_134774,c_206]) ).
tff(c_4,plain,
( ( op(e4,e3) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_135973,plain,
op(e4,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_134407,c_135691,c_135571,c_135697,c_4]) ).
tff(c_135923,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_135862,c_162]) ).
tff(c_135974,plain,
op(e2,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_135973,c_135923]) ).
tff(c_135985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135938,c_135974]) ).
tff(c_135986,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_134773]) ).
tff(c_136862,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_136808,c_135986]) ).
tff(c_136871,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136862,c_224]) ).
tff(c_136899,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_136871,c_134768]) ).
tff(c_136906,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136899,c_248]) ).
tff(c_136477,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136364,c_322]) ).
tff(c_136371,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_130439]) ).
tff(c_136469,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_136364,c_136371,c_136364,c_154]) ).
tff(c_136470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_136469]) ).
tff(c_136471,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_130439]) ).
tff(c_136776,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_136477,c_136471]) ).
tff(c_136777,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_136776]) ).
tff(c_136755,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_136473,c_136361]) ).
tff(c_136566,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_134387]) ).
tff(c_136572,plain,
op(e0,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_136566,c_294]) ).
tff(c_136603,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_136473,c_136361]) ).
tff(c_136606,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136603,c_360]) ).
tff(c_130292,plain,
op(e4,e0) != e0,
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_136507,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_131363]) ).
tff(c_70,plain,
( ( op(e4,e4) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_136702,plain,
( ( op(e4,e4) = e0 )
| ( e3 = e0 )
| ( op(e4,e2) = e0 )
| ( e4 = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136507,c_136364,c_70]) ).
tff(c_136703,plain,
( ( op(e4,e4) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130292,c_414,c_416,c_136702]) ).
tff(c_136704,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_136703]) ).
tff(c_136625,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_134768]) ).
tff(c_136643,plain,
op(op(e4,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_136625,c_172]) ).
tff(c_136705,plain,
op(e0,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_136704,c_136643]) ).
tff(c_136715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136606,c_136705]) ).
tff(c_136716,plain,
op(e4,e4) = e0,
inference(splitRight,[status(thm)],[c_136703]) ).
tff(c_136719,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_136716,c_136716,c_152]) ).
tff(c_136727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136572,c_136719]) ).
tff(c_136728,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_134768]) ).
tff(c_136593,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_136364,c_162]) ).
tff(c_136730,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_136728,c_136593]) ).
tff(c_136740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136477,c_136730]) ).
tff(c_136741,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_134387]) ).
tff(c_136743,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136741,c_360]) ).
tff(c_136769,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_136755,c_136743]) ).
tff(c_136770,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_131363]) ).
tff(c_136936,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136777,c_136770]) ).
tff(c_136937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136906,c_410,c_136936]) ).
tff(c_136938,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_136776]) ).
tff(c_136941,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136938,c_350]) ).
tff(c_136953,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136941,c_136473,c_136361]) ).
tff(c_136954,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_136363]) ).
tff(c_137343,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137230,c_136954]) ).
tff(c_137344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_137262,c_137343]) ).
tff(c_137345,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_136361]) ).
tff(c_137223,plain,
op(op(e1,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_137202,c_168]) ).
tff(c_137347,plain,
op(e3,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_137345,c_137223]) ).
tff(c_137356,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_137202,c_137347]) ).
tff(c_137358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_137356]) ).
tff(c_137359,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_137229]) ).
tff(c_137369,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137359,c_372]) ).
tff(c_137374,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_136361]) ).
tff(c_137362,plain,
op(e2,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_137359,c_186]) ).
tff(c_137387,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_137374,c_137362]) ).
tff(c_137389,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_137387,c_137387,c_176]) ).
tff(c_137397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137369,c_137389]) ).
tff(c_137398,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_136361]) ).
tff(c_137400,plain,
op(e3,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_137398,c_137223]) ).
tff(c_137409,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_137202,c_137400]) ).
tff(c_137411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_137409]) ).
tff(c_137412,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_137176]) ).
tff(c_137748,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_137692,c_137412]) ).
tff(c_137698,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137690,c_272]) ).
tff(c_137414,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_131363]) ).
tff(c_137608,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137414,c_136954]) ).
tff(c_137609,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_137608]) ).
tff(c_137616,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137609,c_344]) ).
tff(c_137544,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_134768]) ).
tff(c_137550,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137544,c_304]) ).
tff(c_137567,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137414,c_136954]) ).
tff(c_137568,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_137567]) ).
tff(c_137545,plain,
op(e2,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_137544,c_156]) ).
tff(c_137569,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_137568,c_137545]) ).
tff(c_137583,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_137569,c_137569,c_176]) ).
tff(c_137591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137550,c_137583]) ).
tff(c_137592,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_134768]) ).
tff(c_137599,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137592,c_224]) ).
tff(c_137623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137616,c_137599,c_135986]) ).
tff(c_137624,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_131363]) ).
tff(c_137708,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_137624]) ).
tff(c_137691,plain,
op(op(e2,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_137690,c_186]) ).
tff(c_137709,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_137708,c_137691]) ).
tff(c_137723,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_137709,c_137709,c_176]) ).
tff(c_137731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137698,c_137723]) ).
tff(c_137732,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_137624]) ).
tff(c_137740,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137732,c_230]) ).
tff(c_137761,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137748,c_137740]) ).
tff(c_137762,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_136361]) ).
tff(c_137766,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137762,c_330]) ).
tff(c_137777,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_137624]) ).
tff(c_137782,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137777,c_252]) ).
tff(c_137783,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137777,c_248]) ).
tff(c_137791,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_137783,c_134768]) ).
tff(c_137797,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137791,c_224]) ).
tff(c_137851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137782,c_137797,c_135986]) ).
tff(c_137852,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_137624]) ).
tff(c_137764,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_137762,c_168]) ).
tff(c_137880,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_137852,c_137764]) ).
tff(c_137881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137766,c_137880]) ).
tff(c_137882,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_134390]) ).
tff(c_139186,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_139052,c_137882]) ).
tff(c_139134,plain,
op(op(e3,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_194]) ).
tff(c_139187,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_139186,c_139186,c_139134]) ).
tff(c_139197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_139187]) ).
tff(c_139199,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_139200,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_130439]) ).
tff(c_139206,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_139200,c_316]) ).
tff(c_139321,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_139206,c_134387]) ).
tff(c_139334,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_139321,c_139321,c_130111,c_196]) ).
tff(c_139335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_139334]) ).
tff(c_139336,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_130439]) ).
tff(c_139755,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_139336]) ).
tff(c_139759,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139755,c_362]) ).
tff(c_139338,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_139199,c_130291]) ).
tff(c_139339,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_139338]) ).
tff(c_139340,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139339,c_322]) ).
tff(c_139362,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_139340,c_139336]) ).
tff(c_139363,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_139362]) ).
tff(c_139386,plain,
( ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139363,c_131363]) ).
tff(c_139387,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_139386]) ).
tff(c_139388,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_139387]) ).
tff(c_139396,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_139388,c_220]) ).
tff(c_139463,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_139396,c_137882]) ).
tff(c_139376,plain,
op(e0,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_170]) ).
tff(c_139464,plain,
op(e0,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_139463,c_139376]) ).
tff(c_139473,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_139464]) ).
tff(c_139475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_139473]) ).
tff(c_139476,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_139387]) ).
tff(c_139486,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139476,c_372]) ).
tff(c_139350,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139339,c_328]) ).
tff(c_138439,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_131364,c_85116]) ).
tff(c_138440,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_138439]) ).
tff(c_138854,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_138440,c_320]) ).
tff(c_138983,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_138854,c_134387]) ).
tff(c_138987,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138983,c_356]) ).
tff(c_138649,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_138440,c_320]) ).
tff(c_138446,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_138440,c_308]) ).
tff(c_138452,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138440,c_50475]) ).
tff(c_138453,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_138446,c_408,c_138452]) ).
tff(c_138454,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_138453]) ).
tff(c_138457,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138454,c_228]) ).
tff(c_138505,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_138457,c_131363]) ).
tff(c_138506,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_138505]) ).
tff(c_138528,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_138506,c_138440,c_182]) ).
tff(c_138561,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_138528,c_138506,c_138440,c_158]) ).
tff(c_138562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_138561]) ).
tff(c_138563,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_138505]) ).
tff(c_138458,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138454,c_222]) ).
tff(c_138465,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138454,c_130439]) ).
tff(c_138466,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_138458,c_138465]) ).
tff(c_138467,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_138466]) ).
tff(c_138470,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138467,c_346]) ).
tff(c_137893,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_137896,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_137893,c_218]) ).
tff(c_138421,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_137896,c_137882]) ).
tff(c_138416,plain,
op(op(e3,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_194]) ).
tff(c_138422,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_138421,c_138421,c_138416]) ).
tff(c_138433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_138422]) ).
tff(c_138434,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_138565,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138467,c_138434]) ).
tff(c_138566,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_138470,c_406,c_138565]) ).
tff(c_138623,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_138563,c_138563,c_138566,c_186]) ).
tff(c_138624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_138623]) ).
tff(c_138625,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_138466]) ).
tff(c_138671,plain,
( ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138625,c_131363]) ).
tff(c_138672,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_138671]) ).
tff(c_138673,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_138672]) ).
tff(c_138681,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_138673,c_220]) ).
tff(c_138670,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138454,c_234]) ).
tff(c_138693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138681,c_138670,c_137882]) ).
tff(c_138694,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_138672]) ).
tff(c_138456,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138454,c_224]) ).
tff(c_138654,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_138456,c_138434]) ).
tff(c_138655,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_138654]) ).
tff(c_138733,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_138694,c_138694,c_138655,c_186]) ).
tff(c_138734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_138733]) ).
tff(c_138735,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_138654]) ).
tff(c_138737,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138735,c_358]) ).
tff(c_138763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138649,c_138737,c_134387]) ).
tff(c_138764,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_138453]) ).
tff(c_138770,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138764,c_248]) ).
tff(c_138881,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_138770,c_131363]) ).
tff(c_138882,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_138881]) ).
tff(c_138872,plain,
op(op(e4,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_138440,c_182]) ).
tff(c_138883,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_138882,c_138872]) ).
tff(c_138930,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_138883,c_138882,c_138440,c_158]) ).
tff(c_138931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_138930]) ).
tff(c_138932,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_138881]) ).
tff(c_138445,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_138440,c_310]) ).
tff(c_138777,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_138445,c_130439]) ).
tff(c_138778,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_138777]) ).
tff(c_138780,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138778,c_230]) ).
tff(c_138821,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_138780,c_138770,c_131363]) ).
tff(c_138829,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_138821,c_220]) ).
tff(c_138779,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138778,c_236]) ).
tff(c_138841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138829,c_138779,c_137882]) ).
tff(c_138842,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_138777]) ).
tff(c_139020,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138932,c_138842]) ).
tff(c_139021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_138987,c_139020]) ).
tff(c_139022,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_138439]) ).
tff(c_139615,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_139350,c_139022]) ).
tff(c_139479,plain,
op(e2,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_139476,c_186]) ).
tff(c_139618,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_139615,c_139479]) ).
tff(c_139631,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_139618,c_139618,c_176]) ).
tff(c_139638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139486,c_139631]) ).
tff(c_139639,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_139362]) ).
tff(c_139644,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139639,c_346]) ).
tff(c_139666,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139639,c_138434]) ).
tff(c_139667,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_139666]) ).
tff(c_139668,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_139667]) ).
tff(c_139746,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139668,c_139022]) ).
tff(c_139747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_139350,c_139746]) ).
tff(c_139748,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_139667]) ).
tff(c_139750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139644,c_139748]) ).
tff(c_139751,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_139338]) ).
tff(c_140139,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_139759,c_139751]) ).
tff(c_140144,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140139,c_354]) ).
tff(c_140172,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_140144,c_134387]) ).
tff(c_140179,plain,
op(e0,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_140172,c_294]) ).
tff(c_139776,plain,
( ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139755,c_131363]) ).
tff(c_139777,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_139776]) ).
tff(c_139778,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_139777]) ).
tff(c_139787,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_139778,c_220]) ).
tff(c_140048,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_139787,c_137882]) ).
tff(c_140030,plain,
op(op(e3,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_194]) ).
tff(c_140049,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_140048,c_140048,c_140030]) ).
tff(c_140060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_140049]) ).
tff(c_140061,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_139777]) ).
tff(c_140066,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140061,c_252]) ).
tff(c_140080,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140066,c_138434]) ).
tff(c_140081,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_140080]) ).
tff(c_140063,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_140061,c_178]) ).
tff(c_140082,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_140081,c_140081,c_140063]) ).
tff(c_140092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_140082]) ).
tff(c_140093,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_140080]) ).
tff(c_140099,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140093,c_238]) ).
tff(c_140209,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_140099,c_137882]) ).
tff(c_140173,plain,
op(op(e4,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_140172,c_192]) ).
tff(c_140210,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_140209,c_140173]) ).
tff(c_140223,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_140210,c_140210,c_152]) ).
tff(c_140232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140179,c_140223]) ).
tff(c_140233,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_139336]) ).
tff(c_140812,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_140233]) ).
tff(c_140815,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140812,c_330]) ).
tff(c_140863,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_140815,c_139022]) ).
tff(c_140833,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_139751]) ).
tff(c_139198,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_140785,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_139198]) ).
tff(c_140786,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_140785,c_182]) ).
tff(c_140834,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_140833,c_140786]) ).
tff(c_140845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131364,c_140834]) ).
tff(c_140846,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_139751]) ).
tff(c_140854,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140846,c_348]) ).
tff(c_140878,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_140863,c_140854]) ).
tff(c_140879,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_140233]) ).
tff(c_140887,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140879,c_342]) ).
tff(c_140894,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_140887,c_139751]) ).
tff(c_140895,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_140894,c_140786]) ).
tff(c_140906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131364,c_140895]) ).
tff(c_140907,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_139198]) ).
tff(c_140941,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_140907]) ).
tff(c_140949,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140941,c_222]) ).
tff(c_141062,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_140949,c_140233]) ).
tff(c_141066,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141062,c_356]) ).
tff(c_141133,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_141066,c_134387]) ).
tff(c_140945,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140941,c_234]) ).
tff(c_141090,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_140945,c_137882]) ).
tff(c_141093,plain,
op(op(e0,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_141090,c_160]) ).
tff(c_141134,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_141133,c_141093]) ).
tff(c_141145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139199,c_141134]) ).
tff(c_141146,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_140907]) ).
tff(c_141152,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141146,c_244]) ).
tff(c_141154,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141146,c_248]) ).
tff(c_141162,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_140233]) ).
tff(c_141168,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_141162,c_230]) ).
tff(c_140264,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_131363]) ).
tff(c_140273,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_140264,c_220]) ).
tff(c_140493,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_140273,c_137882]) ).
tff(c_140251,plain,
op(op(e3,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130293,c_194]) ).
tff(c_140494,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_140493,c_140493,c_140251]) ).
tff(c_140504,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_140494]) ).
tff(c_140505,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_131363]) ).
tff(c_141218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_141154,c_141168,c_140505]) ).
tff(c_141219,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_140233]) ).
tff(c_140753,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_140505]) ).
tff(c_140540,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_138434]) ).
tff(c_140541,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_140540,c_186]) ).
tff(c_140754,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_140753,c_140753,c_140541]) ).
tff(c_140764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_140754]) ).
tff(c_140765,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_140505]) ).
tff(c_140613,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140540,c_139022]) ).
tff(c_140614,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_140613]) ).
tff(c_140619,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140614,c_330]) ).
tff(c_140546,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140540,c_264]) ).
tff(c_140563,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_140546,c_139198]) ).
tff(c_140564,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_140563]) ).
tff(c_140571,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140564,c_248]) ).
tff(c_140710,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_140571,c_140505]) ).
tff(c_140617,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_140614,c_168]) ).
tff(c_140713,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_140710,c_140617]) ).
tff(c_140722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140619,c_140713]) ).
tff(c_140723,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_140563]) ).
tff(c_140745,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140723,c_228]) ).
tff(c_140782,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_140765,c_140745]) ).
tff(c_140783,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_138434]) ).
tff(c_141331,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141219,c_140783]) ).
tff(c_141332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_141152,c_141331]) ).
tff(c_141333,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_149074,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_141333]) ).
tff(c_149076,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_149074,c_216]) ).
tff(c_148625,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_148868,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_148625,c_214]) ).
tff(c_148629,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_148625,c_314]) ).
tff(c_148626,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_148625,c_302]) ).
tff(c_141398,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_141543,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_141398,c_386]) ).
tff(c_141544,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_148636,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_148626,c_141544]) ).
tff(c_148637,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_148636]) ).
tff(c_148640,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148637,c_336]) ).
tff(c_145043,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_141335,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_434]) ).
tff(c_398,plain,
op(e2,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_141395,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_141335,c_398]) ).
tff(c_141396,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_148646,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_141396]) ).
tff(c_148647,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_148629,c_148640,c_420,c_148646]) ).
tff(c_148658,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148647,c_360]) ).
tff(c_148663,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148637,c_330]) ).
tff(c_85117,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_432]) ).
tff(c_146158,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_380]) ).
tff(c_145061,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_145064,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_145061,c_308]) ).
tff(c_145505,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145061,c_50475]) ).
tff(c_145506,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_145064,c_408,c_145505]) ).
tff(c_145507,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_145506]) ).
tff(c_145510,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145507,c_224]) ).
tff(c_145071,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_145074,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_145071,c_218]) ).
tff(c_145083,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145061,c_50475]) ).
tff(c_145084,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_145064,c_408,c_145083]) ).
tff(c_145085,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_145084]) ).
tff(c_145175,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145085,c_234]) ).
tff(c_141397,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_141546,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( e2 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_444]) ).
tff(c_141547,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_141397,c_418,c_141546]) ).
tff(c_141548,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_141547]) ).
tff(c_144534,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141548,c_274]) ).
tff(c_141895,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141548,c_280]) ).
tff(c_141896,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_141899,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_141896,c_314]) ).
tff(c_142282,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_141896,c_302]) ).
tff(c_142033,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_141896,c_302]) ).
tff(c_141898,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_141896,c_308]) ).
tff(c_141905,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_141898,c_141895,c_85116]) ).
tff(c_141906,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_141905]) ).
tff(c_141908,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_141906,c_340]) ).
tff(c_142017,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_141899,c_141908,c_141396]) ).
tff(c_142018,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_142017]) ).
tff(c_142028,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142018,c_356]) ).
tff(c_142181,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_142033,c_142028,c_141544]) ).
tff(c_142182,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_142181]) ).
tff(c_142194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142182,c_141906,c_330]) ).
tff(c_142195,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_142181]) ).
tff(c_141556,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_141883,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_141556,c_141548,c_141556,c_190]) ).
tff(c_141884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_141883]) ).
tff(c_141885,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_142037,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_141895,c_141885]) ).
tff(c_142038,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_142037]) ).
tff(c_142139,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_141896,c_142038,c_208]) ).
tff(c_142140,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_142037]) ).
tff(c_142216,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142195,c_142140]) ).
tff(c_142217,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_142216]) ).
tff(c_142220,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142217,c_250]) ).
tff(c_142196,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_142181]) ).
tff(c_142144,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141906,c_141333]) ).
tff(c_142145,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_142144]) ).
tff(c_142146,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_142145]) ).
tff(c_142177,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142146,c_141896,c_202]) ).
tff(c_142178,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_142145]) ).
tff(c_142263,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142220,c_142196,c_142178]) ).
tff(c_142264,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_142017]) ).
tff(c_142273,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142264,c_376]) ).
tff(c_142333,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_142282,c_142273,c_141544]) ).
tff(c_142334,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_142333]) ).
tff(c_142353,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142334,c_141906,c_330]) ).
tff(c_142354,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_142333]) ).
tff(c_142359,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142354,c_346]) ).
tff(c_141890,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141548,c_278]) ).
tff(c_141915,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_141890,c_130109]) ).
tff(c_141916,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_141915]) ).
tff(c_142014,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_141896,c_141916,c_204]) ).
tff(c_142015,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_141915]) ).
tff(c_142372,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142354,c_142015]) ).
tff(c_142373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142359,c_406,c_142372]) ).
tff(c_142374,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_141905]) ).
tff(c_142384,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142374,c_360]) ).
tff(c_142560,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_141899,c_142384,c_141396]) ).
tff(c_142561,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_142560]) ).
tff(c_142570,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142561,c_336]) ).
tff(c_142580,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_141895,c_141885]) ).
tff(c_142581,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_142580]) ).
tff(c_142597,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142581,c_141896,c_208]) ).
tff(c_142598,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_142580]) ).
tff(c_142619,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_142598]) ).
tff(c_142621,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142619,c_250]) ).
tff(c_142382,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141548,c_276]) ).
tff(c_142496,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_142382,c_141333]) ).
tff(c_142497,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_142496]) ).
tff(c_142557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_141896,c_142497,c_202]) ).
tff(c_142558,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_142496]) ).
tff(c_142675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142621,c_142570,c_142558]) ).
tff(c_142676,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_142598]) ).
tff(c_142478,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142374,c_350]) ).
tff(c_142479,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_142478,c_141544]) ).
tff(c_142480,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_142479]) ).
tff(c_142492,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142480,c_141896,c_302]) ).
tff(c_142493,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_142479]) ).
tff(c_142695,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142676,c_142493]) ).
tff(c_142696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_142570,c_142695]) ).
tff(c_142697,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_142560]) ).
tff(c_142781,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_141548,c_142697,c_190]) ).
tff(c_142782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_141895,c_142781]) ).
tff(c_142784,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_144418,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141548,c_274]) ).
tff(c_144392,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_141396]) ).
tff(c_144399,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_144392,c_316]) ).
tff(c_144407,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_144399,c_141544]) ).
tff(c_144408,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_144407]) ).
tff(c_144412,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144408,c_222]) ).
tff(c_142783,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_144504,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_144418,c_144412,c_142783]) ).
tff(c_144510,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144504,c_244]) ).
tff(c_144410,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144408,c_226]) ).
tff(c_143347,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141548,c_276]) ).
tff(c_143408,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141548,c_274]) ).
tff(c_143708,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_143408,c_142783]) ).
tff(c_143709,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_143708]) ).
tff(c_143712,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_143709,c_248]) ).
tff(c_143713,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_143709,c_242]) ).
tff(c_142785,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_141890,c_130109]) ).
tff(c_142786,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_142785]) ).
tff(c_143243,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_141333]) ).
tff(c_143342,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142786,c_143243,c_206]) ).
tff(c_143343,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_141333]) ).
tff(c_143724,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_143347,c_143713,c_143343]) ).
tff(c_143727,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143724,c_230]) ).
tff(c_143348,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_141895,c_141885]) ).
tff(c_143349,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_143348]) ).
tff(c_143405,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143349,c_142786,c_212]) ).
tff(c_143406,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_143348]) ).
tff(c_143749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143712,c_143727,c_143406]) ).
tff(c_143750,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_143708]) ).
tff(c_143757,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143750,c_222]) ).
tff(c_143764,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_143347,c_143757,c_143343]) ).
tff(c_143765,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_143764,c_250]) ).
tff(c_143755,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143750,c_228]) ).
tff(c_143795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143765,c_143755,c_143406]) ).
tff(c_143796,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_142785]) ).
tff(c_144531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144510,c_144410,c_143796]) ).
tff(c_144533,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_144407]) ).
tff(c_144406,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141548,c_276]) ).
tff(c_144537,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_144533,c_144406,c_141333]) ).
tff(c_144538,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_144537]) ).
tff(c_144547,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144538,c_130291]) ).
tff(c_144548,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_142784,c_402,c_144547]) ).
tff(c_144549,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_144548]) ).
tff(c_144554,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144549,c_344]) ).
tff(c_144616,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_144534,c_142783]) ).
tff(c_144617,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_144616]) ).
tff(c_144607,plain,
op(e2,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_144549,c_172]) ).
tff(c_144618,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_144617,c_144607]) ).
tff(c_144628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144554,c_144618]) ).
tff(c_144629,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_144616]) ).
tff(c_144598,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_144538,c_154]) ).
tff(c_144631,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_144629,c_144629,c_144598]) ).
tff(c_144641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_144631]) ).
tff(c_144642,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_144548]) ).
tff(c_144654,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144642,c_141885]) ).
tff(c_144655,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_141895,c_144654]) ).
tff(c_144656,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_144655]) ).
tff(c_144662,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144656,c_228]) ).
tff(c_144706,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_144534,c_144662,c_142783]) ).
tff(c_144712,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144706,c_244]) ).
tff(c_144661,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144656,c_232]) ).
tff(c_144764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144712,c_144661,c_143796]) ).
tff(c_144765,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_144655]) ).
tff(c_144772,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144765,c_252]) ).
tff(c_144770,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144765,c_248]) ).
tff(c_144811,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_144534,c_144770,c_142783]) ).
tff(c_144816,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144811,c_224]) ).
tff(c_144895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144772,c_144816,c_143796]) ).
tff(c_144896,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_144537]) ).
tff(c_144899,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144896,c_246]) ).
tff(c_144901,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144896,c_242]) ).
tff(c_144982,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_144534,c_144901,c_142783]) ).
tff(c_144988,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144982,c_224]) ).
tff(c_145039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144899,c_144988,c_143796]) ).
tff(c_145040,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_141547]) ).
tff(c_145176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145074,c_145175,c_145040]) ).
tff(c_145177,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_145084]) ).
tff(c_145501,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_145071,c_145071,c_145177,c_172]) ).
tff(c_145502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_145501]) ).
tff(c_145503,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_146162,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_145510,c_145503]) ).
tff(c_146163,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_146162]) ).
tff(c_130,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_146370,plain,
( ( e4 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146163,c_145061,c_130]) ).
tff(c_146371,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_146158,c_420,c_414,c_146370]) ).
tff(c_145511,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145507,c_222]) ).
tff(c_145763,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145507,c_141544]) ).
tff(c_145764,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_145511,c_145763]) ).
tff(c_145765,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_145764]) ).
tff(c_145771,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_145765,c_226]) ).
tff(c_145768,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_145765,c_346]) ).
tff(c_145900,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145765,c_145503]) ).
tff(c_145901,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_145768,c_406,c_145900]) ).
tff(c_145905,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_145901,c_266]) ).
tff(c_145778,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_145511,c_141333]) ).
tff(c_145779,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_145778]) ).
tff(c_145781,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_145779,c_216]) ).
tff(c_145848,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145507,c_234]) ).
tff(c_145851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145781,c_145848,c_145040]) ).
tff(c_145852,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_145778]) ).
tff(c_145930,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_145905,c_145852]) ).
tff(c_145952,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_145930,c_145765,c_166]) ).
tff(c_145977,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_145952,c_145952,c_176]) ).
tff(c_145978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145771,c_145977]) ).
tff(c_145979,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_145764]) ).
tff(c_146269,plain,
op(op(e1,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_145979,c_168]) ).
tff(c_146372,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_146371,c_146269]) ).
tff(c_146382,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_146372]) ).
tff(c_146384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_146382]) ).
tff(c_146385,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_146162]) ).
tff(c_146392,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146385,c_344]) ).
tff(c_145518,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_145064,c_130291]) ).
tff(c_145519,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_145518]) ).
tff(c_145747,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_145507,c_145519,c_154]) ).
tff(c_145759,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_145747,c_145507,c_145519,c_162]) ).
tff(c_145760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_145759]) ).
tff(c_145761,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_145518]) ).
tff(c_146425,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_146392,c_145761]) ).
tff(c_146457,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146425,c_145979,c_362]) ).
tff(c_146458,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_145506]) ).
tff(c_146692,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146458,c_304]) ).
tff(c_145063,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_145061,c_310]) ).
tff(c_146460,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_145063,c_141544]) ).
tff(c_146461,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_146460]) ).
tff(c_146464,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_146461,c_336]) ).
tff(c_146485,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_141396]) ).
tff(c_146486,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_146464,c_420,c_146485]) ).
tff(c_146487,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_146486]) ).
tff(c_146516,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146487,c_145061,c_320]) ).
tff(c_146517,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_146486]) ).
tff(c_146573,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146517,c_354]) ).
tff(c_146530,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_145064,c_130291]) ).
tff(c_146531,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_146530]) ).
tff(c_146565,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146531,c_146461,c_322]) ).
tff(c_146566,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_146530]) ).
tff(c_146606,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_146573,c_146566]) ).
tff(c_146684,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_145061,c_146606,c_145061,c_182]) ).
tff(c_146685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_146684]) ).
tff(c_146687,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_146460]) ).
tff(c_146690,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146458,c_242]) ).
tff(c_146699,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_145064,c_130291]) ).
tff(c_146700,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_146699]) ).
tff(c_146706,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146700,c_141333]) ).
tff(c_146707,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_402,c_146687,c_146690,c_146706]) ).
tff(c_146744,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146707,c_270]) ).
tff(c_146747,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146707,c_266]) ).
tff(c_146691,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146458,c_244]) ).
tff(c_146753,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_146747,c_146691,c_145503]) ).
tff(c_146686,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_146460]) ).
tff(c_146786,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146753,c_146686]) ).
tff(c_146787,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_146786]) ).
tff(c_146837,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_146787,c_146707,c_184]) ).
tff(c_146838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146744,c_146837]) ).
tff(c_146839,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_146699]) ).
tff(c_147202,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_146839]) ).
tff(c_147214,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147202,c_362]) ).
tff(c_146852,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_141396]) ).
tff(c_146853,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_146852]) ).
tff(c_146854,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_146853]) ).
tff(c_146873,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146854,c_145061,c_320]) ).
tff(c_146874,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_146853]) ).
tff(c_146956,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_146874]) ).
tff(c_146926,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_146686]) ).
tff(c_146911,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_146839]) ).
tff(c_146941,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146926,c_146911,c_362]) ).
tff(c_146942,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_146686]) ).
tff(c_146946,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146942,c_356]) ).
tff(c_146969,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146956,c_146946]) ).
tff(c_146970,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_146874]) ).
tff(c_146841,plain,
( ( op(e1,e3) = e1 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_146687,c_146690,c_141333]) ).
tff(c_146842,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_146841]) ).
tff(c_146844,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_146842,c_216]) ).
tff(c_146896,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_146844,c_145040]) ).
tff(c_147038,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_146970,c_146896,c_170]) ).
tff(c_147039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146687,c_147038]) ).
tff(c_147040,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_146839]) ).
tff(c_147101,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_147040,c_146458,c_156]) ).
tff(c_147113,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_147101,c_147101,c_176]) ).
tff(c_147114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146692,c_147113]) ).
tff(c_147115,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_146841]) ).
tff(c_147170,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147115,c_266]) ).
tff(c_147174,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_147170,c_146691,c_145503]) ).
tff(c_147217,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147174,c_146686]) ).
tff(c_147218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147214,c_406,c_147217]) ).
tff(c_147219,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_146839]) ).
tff(c_147273,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_147219,c_146458,c_156]) ).
tff(c_147289,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_147273,c_147273,c_176]) ).
tff(c_147290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146692,c_147289]) ).
tff(c_147291,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_148702,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_148658,c_148663,c_147291]) ).
tff(c_148705,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148702,c_272]) ).
tff(c_148649,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148647,c_358]) ).
tff(c_148639,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148637,c_226]) ).
tff(c_147293,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_147296,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_147293,c_218]) ).
tff(c_147303,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_147353,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_147303,c_147293,c_204]) ).
tff(c_147355,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_147820,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147293,c_130291]) ).
tff(c_147821,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_147355,c_404,c_147820]) ).
tff(c_147822,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_147821]) ).
tff(c_147823,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147822,c_322]) ).
tff(c_147833,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147822,c_141333]) ).
tff(c_147834,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_147823,c_147833]) ).
tff(c_147835,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_147834]) ).
tff(c_147840,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147835,c_242]) ).
tff(c_147354,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_147859,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_147840,c_147354]) ).
tff(c_147860,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_147859]) ).
tff(c_147865,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147860,c_268]) ).
tff(c_147831,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147822,c_328]) ).
tff(c_147881,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_147865,c_147831,c_147291]) ).
tff(c_147883,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147881,c_350]) ).
tff(c_147359,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_141544]) ).
tff(c_147570,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147359,c_147354]) ).
tff(c_147571,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_147570]) ).
tff(c_147572,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_147571]) ).
tff(c_147578,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147572,c_268]) ).
tff(c_147366,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_147359,c_316]) ).
tff(c_147372,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_141396]) ).
tff(c_147373,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_147366,c_420,c_147372]) ).
tff(c_147374,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_147373]) ).
tff(c_147382,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147374,c_336]) ).
tff(c_147496,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_147296,c_145040]) ).
tff(c_147509,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_147496,c_147374,c_170]) ).
tff(c_147510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147382,c_147509]) ).
tff(c_147511,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_147373]) ).
tff(c_147513,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147511,c_360]) ).
tff(c_147523,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147293,c_130291]) ).
tff(c_147524,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_147355,c_404,c_147523]) ).
tff(c_147525,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_147524]) ).
tff(c_147556,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147525,c_328]) ).
tff(c_147593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147578,c_147513,c_147556,c_147291]) ).
tff(c_147594,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_147571]) ).
tff(c_147608,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_147594,c_147594,c_147293,c_156]) ).
tff(c_147609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_147608]) ).
tff(c_147610,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_147524]) ).
tff(c_147650,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147610,c_208]) ).
tff(c_147652,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147359,c_147354]) ).
tff(c_147653,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_147652]) ).
tff(c_147654,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_147653]) ).
tff(c_147759,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_147654,c_147610,c_158]) ).
tff(c_147760,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_147759,c_147759,c_188]) ).
tff(c_147769,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147650,c_147760]) ).
tff(c_147770,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_147653]) ).
tff(c_147775,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147770,c_242]) ).
tff(c_147639,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147610,c_368]) ).
tff(c_147784,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_147639,c_147513,c_147291]) ).
tff(c_147785,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147784,c_330]) ).
tff(c_147612,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_141333]) ).
tff(c_147635,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_147612,c_147293,c_206]) ).
tff(c_147636,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_141333]) ).
tff(c_147798,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147784,c_147636]) ).
tff(c_147799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_147775,c_147785,c_147798]) ).
tff(c_147800,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_141544]) ).
tff(c_147916,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_147883,c_147823,c_147800]) ).
tff(c_147918,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147916,c_366]) ).
tff(c_147886,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147881,c_272]) ).
tff(c_147837,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147835,c_250]) ).
tff(c_120,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_148039,plain,
( ( op(e4,e1) = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_147916,c_120]) ).
tff(c_148040,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_147886,c_147837,c_412,c_148039]) ).
tff(c_148015,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_147860,c_182]) ).
tff(c_148041,plain,
op(e2,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_148040,c_148015]) ).
tff(c_148052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147918,c_148041]) ).
tff(c_148053,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_147859]) ).
tff(c_148055,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148053,c_234]) ).
tff(c_148122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147296,c_148055,c_145040]) ).
tff(c_148123,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_147834]) ).
tff(c_148128,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148123,c_262]) ).
tff(c_148143,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_148128,c_147354]) ).
tff(c_148144,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_148143]) ).
tff(c_148188,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_147293,c_148144,c_147293,c_172]) ).
tff(c_148189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_148188]) ).
tff(c_148190,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_148143]) ).
tff(c_148192,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148190,c_234]) ).
tff(c_148249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147296,c_148192,c_145040]) ).
tff(c_148250,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_147821]) ).
tff(c_148252,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148250,c_362]) ).
tff(c_148253,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148250,c_368]) ).
tff(c_148484,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_148253,c_147291]) ).
tff(c_148485,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_148484]) ).
tff(c_148487,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148485,c_350]) ).
tff(c_148503,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_148252,c_148487,c_147800]) ).
tff(c_148508,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148503,c_236]) ).
tff(c_148525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147296,c_148508,c_145040]) ).
tff(c_148526,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_148484]) ).
tff(c_148531,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148526,c_330]) ).
tff(c_148543,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_148252,c_148531,c_147800]) ).
tff(c_148549,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148543,c_346]) ).
tff(c_148261,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_141333]) ).
tff(c_148280,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_148261,c_147293,c_206]) ).
tff(c_148281,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_141333]) ).
tff(c_148372,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_148281]) ).
tff(c_148395,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148372,c_147291]) ).
tff(c_148396,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_148253,c_410,c_148395]) ).
tff(c_148399,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148396,c_350]) ).
tff(c_148423,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_148252,c_148399,c_147800]) ).
tff(c_148429,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148423,c_236]) ).
tff(c_148450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147296,c_148429,c_145040]) ).
tff(c_148451,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_148281]) ).
tff(c_148606,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_148531,c_148451]) ).
tff(c_148601,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_148543,c_174]) ).
tff(c_148607,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_148606,c_148601]) ).
tff(c_148618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148549,c_148607]) ).
tff(c_148619,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_148728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148705,c_148649,c_148639,c_148619]) ).
tff(c_148730,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_148636]) ).
tff(c_148748,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_148625,c_214]) ).
tff(c_148839,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_148748,c_145040]) ).
tff(c_148731,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_141396]) ).
tff(c_148732,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_148629,c_420,c_148731]) ).
tff(c_148733,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_148732]) ).
tff(c_148810,plain,
op(e3,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_148733,c_170]) ).
tff(c_148841,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_148839,c_148810]) ).
tff(c_148851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148730,c_148841]) ).
tff(c_148852,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_148732]) ).
tff(c_148854,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148852,c_360]) ).
tff(c_148892,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_148854,c_147291]) ).
tff(c_148893,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_148892]) ).
tff(c_148896,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148893,c_272]) ).
tff(c_148857,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148852,c_358]) ).
tff(c_148914,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_148896,c_148857,c_148619]) ).
tff(c_148918,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148914,c_238]) ).
tff(c_148940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148868,c_148918,c_145040]) ).
tff(c_148941,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_148892]) ).
tff(c_148856,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148852,c_356]) ).
tff(c_148729,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_148636]) ).
tff(c_149052,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_148856,c_148729]) ).
tff(c_149069,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_148941,c_149052,c_148941,c_184]) ).
tff(c_149070,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_149069]) ).
tff(c_149072,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_149082,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149074,c_130291]) ).
tff(c_149083,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_149072,c_402,c_149082]) ).
tff(c_149084,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_149083]) ).
tff(c_149087,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149084,c_344]) ).
tff(c_149450,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_149087,c_148619]) ).
tff(c_149451,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_149450]) ).
tff(c_149457,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149451,c_272]) ).
tff(c_149478,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149451,c_147291]) ).
tff(c_149479,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_149457,c_412,c_149478]) ).
tff(c_149483,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149479,c_330]) ).
tff(c_149088,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149084,c_342]) ).
tff(c_149295,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_149088,c_141544]) ).
tff(c_149296,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_149295]) ).
tff(c_149346,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_149296,c_149074,c_154]) ).
tff(c_149347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149072,c_149346]) ).
tff(c_149348,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_149295]) ).
tff(c_149564,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_149483,c_149348]) ).
tff(c_149481,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_149479,c_184]) ).
tff(c_149566,plain,
op(e1,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_149564,c_149481]) ).
tff(c_149578,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_149566,c_149479]) ).
tff(c_149580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_149578]) ).
tff(c_149581,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_149450]) ).
tff(c_149587,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149581,c_238]) ).
tff(c_149622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149076,c_149587,c_145040]) ).
tff(c_149623,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_149083]) ).
tff(c_149626,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149623,c_368]) ).
tff(c_150241,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_149626,c_147291]) ).
tff(c_150242,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_150241]) ).
tff(c_150247,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150242,c_352]) ).
tff(c_150268,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150242,c_148619]) ).
tff(c_150269,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_150247,c_150268]) ).
tff(c_150274,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150269,c_238]) ).
tff(c_150283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149076,c_150274,c_145040]) ).
tff(c_150284,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_150241]) ).
tff(c_150292,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150284,c_340]) ).
tff(c_149821,plain,
op(e3,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_149074,c_322]) ).
tff(c_149826,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_149074,c_324]) ).
tff(c_149978,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_149076,c_145040]) ).
tff(c_149988,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149978,c_382]) ).
tff(c_150065,plain,
( ( op(e4,e4) = e3 )
| ( e4 = e3 )
| ( op(e4,e2) = e3 )
| ( e3 = e1 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149623,c_149074,c_58]) ).
tff(c_150066,plain,
( ( op(e4,e4) = e3 )
| ( op(e4,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_149988,c_410,c_402,c_150065]) ).
tff(c_150067,plain,
op(e4,e2) = e3,
inference(splitLeft,[status(thm)],[c_150066]) ).
tff(c_149982,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149978,c_234]) ).
tff(c_149071,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_149835,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_149071]) ).
tff(c_149838,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149835,c_264]) ).
tff(c_149634,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_141396]) ).
tff(c_149635,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_149634]) ).
tff(c_149636,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_149635]) ).
tff(c_149642,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_149636,c_316]) ).
tff(c_149625,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149623,c_362]) ).
tff(c_149648,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_149642,c_149625,c_141544]) ).
tff(c_149649,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_149648]) ).
tff(c_149662,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149649,c_330]) ).
tff(c_149654,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149649,c_222]) ).
tff(c_149689,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_149654,c_149071]) ).
tff(c_149690,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_149689]) ).
tff(c_149693,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149690,c_264]) ).
tff(c_149652,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149649,c_226]) ).
tff(c_149721,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_149693,c_149652,c_148619]) ).
tff(c_149723,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149721,c_352]) ).
tff(c_149747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149626,c_149723,c_149662,c_147291]) ).
tff(c_149748,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_149689]) ).
tff(c_149755,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149748,c_244]) ).
tff(c_149767,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_149755,c_149652,c_148619]) ).
tff(c_149803,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149767,c_147291]) ).
tff(c_149804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149626,c_412,c_149662,c_149803]) ).
tff(c_149805,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_149648]) ).
tff(c_149810,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149805,c_346]) ).
tff(c_149866,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149805,c_148619]) ).
tff(c_149867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149838,c_149810,c_406,c_149866]) ).
tff(c_149868,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_149071]) ).
tff(c_150016,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_149982,c_149868]) ).
tff(c_150017,plain,
op(e2,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_150016,c_156]) ).
tff(c_150069,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_150067,c_150017]) ).
tff(c_150079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149826,c_150069]) ).
tff(c_150080,plain,
op(e4,e4) = e3,
inference(splitRight,[status(thm)],[c_150066]) ).
tff(c_150082,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_150080,c_150080,c_152]) ).
tff(c_150091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149821,c_150082]) ).
tff(c_150092,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_149635]) ).
tff(c_150359,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_150292,c_150092]) ).
tff(c_150409,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_150359,c_150359,c_130111,c_196]) ).
tff(c_150410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_150409]) ).
tff(c_150411,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_141333]) ).
tff(c_152260,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_150411]) ).
tff(c_152265,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152260,c_270]) ).
tff(c_152279,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152260,c_147291]) ).
tff(c_152280,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_152265,c_410,c_152279]) ).
tff(c_152285,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152280,c_352]) ).
tff(c_152301,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152280,c_148619]) ).
tff(c_152302,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_152285,c_152301]) ).
tff(c_152311,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152302,c_226]) ).
tff(c_149073,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_258]) ).
tff(c_151733,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_141544]) ).
tff(c_151752,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151733,c_149071]) ).
tff(c_151753,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_151752]) ).
tff(c_151754,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_151753]) ).
tff(c_151757,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151754,c_262]) ).
tff(c_151758,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151754,c_264]) ).
tff(c_151775,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_151758,c_148619]) ).
tff(c_151776,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_151775]) ).
tff(c_151783,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151776,c_246]) ).
tff(c_151760,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151754,c_268]) ).
tff(c_151778,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151776,c_352]) ).
tff(c_151794,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_151760,c_151778,c_147291]) ).
tff(c_151798,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151794,c_330]) ).
tff(c_151820,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151794,c_150411]) ).
tff(c_151821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_151783,c_151798,c_151820]) ).
tff(c_151822,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_151775]) ).
tff(c_151832,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151822,c_226]) ).
tff(c_151864,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_151757,c_151832,c_150411]) ).
tff(c_151824,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_151822,c_166]) ).
tff(c_151865,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_151864,c_151864,c_151824]) ).
tff(c_151875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_151865]) ).
tff(c_151876,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_151753]) ).
tff(c_151881,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151876,c_242]) ).
tff(c_151882,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151876,c_244]) ).
tff(c_151894,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_151882,c_148619]) ).
tff(c_151895,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_151894]) ).
tff(c_151901,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151895,c_272]) ).
tff(c_151917,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151895,c_147291]) ).
tff(c_151918,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_151901,c_412,c_151917]) ).
tff(c_151921,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151918,c_330]) ).
tff(c_151945,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151918,c_150411]) ).
tff(c_151946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_151881,c_151921,c_151945]) ).
tff(c_151947,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_151894]) ).
tff(c_151957,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151947,c_226]) ).
tff(c_152029,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_151881,c_151957,c_150411]) ).
tff(c_151962,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_147291]) ).
tff(c_151964,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151962,c_270]) ).
tff(c_151992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151964,c_151881,c_151957,c_150411]) ).
tff(c_151993,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_147291]) ).
tff(c_152138,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152029,c_151993]) ).
tff(c_152139,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_152138]) ).
tff(c_152204,plain,
( ( op(e4,e2) = e0 )
| ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152139,c_151947,c_108]) ).
tff(c_152205,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_149073,c_416,c_152204]) ).
tff(c_152060,plain,
op(e2,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_151876,c_156]) ).
tff(c_152208,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_152205,c_152060]) ).
tff(c_152216,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_152208]) ).
tff(c_152218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_152216]) ).
tff(c_152219,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_141544]) ).
tff(c_152355,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152302,c_152219]) ).
tff(c_152356,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_152311,c_152355]) ).
tff(c_152262,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_152260,c_184]) ).
tff(c_152359,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_152356,c_152262]) ).
tff(c_152368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152265,c_152359]) ).
tff(c_152369,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_150411]) ).
tff(c_153062,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_152369]) ).
tff(c_153069,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153062,c_226]) ).
tff(c_153047,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_152219]) ).
tff(c_153052,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_153047,c_362]) ).
tff(c_150413,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_149072,c_130291]) ).
tff(c_150414,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_150413]) ).
tff(c_150929,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150414,c_322]) ).
tff(c_150935,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_150929,c_150411]) ).
tff(c_150936,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_150935]) ).
tff(c_150939,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_150936,c_270]) ).
tff(c_150843,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_145040]) ).
tff(c_150416,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150414,c_334]) ).
tff(c_150422,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145043,c_141396]) ).
tff(c_150423,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_150416,c_420,c_150422]) ).
tff(c_150424,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_150423]) ).
tff(c_150594,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_150424,c_160]) ).
tff(c_150845,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_150843,c_150594]) ).
tff(c_150855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149072,c_150845]) ).
tff(c_150856,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_145040]) ).
tff(c_150863,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150856,c_238]) ).
tff(c_150718,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_145040]) ).
tff(c_150735,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_150718,c_150594]) ).
tff(c_150745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149072,c_150735]) ).
tff(c_150746,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_145040]) ).
tff(c_150753,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150746,c_238]) ).
tff(c_150459,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150414,c_328]) ).
tff(c_150690,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_150459,c_147291]) ).
tff(c_150691,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_150690]) ).
tff(c_150694,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_150691,c_270]) ).
tff(c_150430,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_150424,c_316]) ).
tff(c_150437,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_150430,c_141544]) ).
tff(c_150438,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_150437]) ).
tff(c_150452,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_150438,c_150414,c_322]) ).
tff(c_150454,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_150437]) ).
tff(c_150766,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_150694,c_150454,c_150411]) ).
tff(c_150773,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150766,c_246]) ).
tff(c_150627,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_148619]) ).
tff(c_150633,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_150627,c_272]) ).
tff(c_150650,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150627,c_147291]) ).
tff(c_150651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150633,c_412,c_150459,c_150650]) ).
tff(c_150652,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_148619]) ).
tff(c_150793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150753,c_150773,c_150652]) ).
tff(c_150794,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_150690]) ).
tff(c_150803,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150794,c_352]) ).
tff(c_150876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150863,c_150803,c_150652]) ).
tff(c_150877,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_150423]) ).
tff(c_150879,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150877,c_360]) ).
tff(c_150957,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150936,c_147291]) ).
tff(c_150958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150939,c_150879,c_410,c_150957]) ).
tff(c_150959,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_150935]) ).
tff(c_150934,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150414,c_328]) ).
tff(c_150986,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_150879,c_150934,c_147291]) ).
tff(c_150989,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_150986,c_272]) ).
tff(c_150880,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150877,c_358]) ).
tff(c_151016,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_150989,c_150880,c_148619]) ).
tff(c_150999,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_150959,c_166]) ).
tff(c_151017,plain,
op(e2,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_151016,c_150999]) ).
tff(c_151026,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_150959,c_151017]) ).
tff(c_151028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_151026]) ).
tff(c_151029,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_150413]) ).
tff(c_153084,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_153052,c_151029]) ).
tff(c_153093,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153084,c_344]) ).
tff(c_152549,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_148619]) ).
tff(c_152403,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_147291]) ).
tff(c_152412,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152403,c_370]) ).
tff(c_152407,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152403,c_272]) ).
tff(c_152430,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_152407,c_148619]) ).
tff(c_152431,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_152430]) ).
tff(c_152437,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152431,c_346]) ).
tff(c_152411,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152403,c_268]) ).
tff(c_152440,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152431,c_244]) ).
tff(c_152450,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_152411,c_152440,c_149071]) ).
tff(c_152458,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152450,c_222]) ).
tff(c_152470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152412,c_152437,c_152458,c_152219]) ).
tff(c_152471,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_152430]) ).
tff(c_152482,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152471,c_226]) ).
tff(c_152510,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152471,c_152219]) ).
tff(c_152511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152412,c_406,c_152482,c_152510]) ).
tff(c_152512,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_147291]) ).
tff(c_152618,plain,
( ( e2 = e1 )
| ( op(e1,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152549,c_152512]) ).
tff(c_152619,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_152618]) ).
tff(c_152622,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152619,c_330]) ).
tff(c_152558,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152549,c_264]) ).
tff(c_152573,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_152558,c_149071]) ).
tff(c_152574,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_152573]) ).
tff(c_152593,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152574,c_242]) ).
tff(c_152640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152622,c_152593,c_152369]) ).
tff(c_152641,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_152573]) ).
tff(c_152664,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152641,c_222]) ).
tff(c_152796,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_152664,c_152369]) ).
tff(c_152799,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152796,c_326]) ).
tff(c_152741,plain,
( ( e2 = e1 )
| ( op(e1,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152549,c_152512]) ).
tff(c_152742,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_152741]) ).
tff(c_152672,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_152219]) ).
tff(c_152674,plain,
op(e1,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_152672,c_184]) ).
tff(c_152743,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_152742,c_152742,c_152674]) ).
tff(c_152754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_152743]) ).
tff(c_152755,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_152219]) ).
tff(c_152827,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_152664,c_152755]) ).
tff(c_152798,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_152796,c_166]) ).
tff(c_152840,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_152827,c_152798]) ).
tff(c_152843,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_152840,c_152840,c_176]) ).
tff(c_152850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152799,c_152843]) ).
tff(c_152851,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_148619]) ).
tff(c_153107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153069,c_153093,c_152851]) ).
tff(c_153108,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_152369]) ).
tff(c_153116,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153108,c_246]) ).
tff(c_153155,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_153116,c_152851]) ).
tff(c_153111,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_153108,c_166]) ).
tff(c_153176,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_153108,c_153155,c_153111]) ).
tff(c_153177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_153176]) ).
tff(c_153178,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_152219]) ).
tff(c_153188,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_153178]) ).
tff(c_153195,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153188,c_226]) ).
tff(c_153197,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153188,c_222]) ).
tff(c_152513,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_147291]) ).
tff(c_152982,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_152851]) ).
tff(c_152992,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152982,c_226]) ).
tff(c_152888,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_152219]) ).
tff(c_152893,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152888,c_362]) ).
tff(c_152915,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_152512]) ).
tff(c_152889,plain,
op(op(e1,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_152888,c_168]) ).
tff(c_152916,plain,
op(e3,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_152915,c_152889]) ).
tff(c_152926,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_152888,c_152916]) ).
tff(c_152928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_152926]) ).
tff(c_152929,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_152512]) ).
tff(c_152934,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152929,c_348]) ).
tff(c_152967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152893,c_152934,c_151029]) ).
tff(c_152968,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_152219]) ).
tff(c_153001,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152982,c_152968]) ).
tff(c_153002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152992,c_406,c_153001]) ).
tff(c_153003,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_152851]) ).
tff(c_153011,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153003,c_344]) ).
tff(c_153032,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_153011,c_151029]) ).
tff(c_152868,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_149071]) ).
tff(c_152869,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_152868,c_182]) ).
tff(c_153033,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_153032,c_152869]) ).
tff(c_153044,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152513,c_153033]) ).
tff(c_153045,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_149071]) ).
tff(c_153226,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_153197,c_153045]) ).
tff(c_153232,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153226,c_244]) ).
tff(c_153269,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153195,c_153232,c_152851]) ).
tff(c_153270,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_153178]) ).
tff(c_153277,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153270,c_346]) ).
tff(c_153271,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_153178]) ).
tff(c_153365,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_153271,c_152369]) ).
tff(c_153272,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_153270,c_174]) ).
tff(c_153368,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_153365,c_153272]) ).
tff(c_153377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153277,c_153368]) ).
tff(c_153378,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_159994,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_153378]) ).
tff(c_156903,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_157318,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_156903,c_214]) ).
tff(c_153385,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_153387,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_153385,c_310]) ).
tff(c_155001,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_153387,c_141544]) ).
tff(c_155002,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_155001]) ).
tff(c_155016,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155002,c_230]) ).
tff(c_153388,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_153385,c_308]) ).
tff(c_153986,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153385,c_50475]) ).
tff(c_153987,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_153388,c_408,c_153986]) ).
tff(c_153988,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_153987]) ).
tff(c_153993,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153988,c_222]) ).
tff(c_154076,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153988,c_141544]) ).
tff(c_154077,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_153993,c_154076]) ).
tff(c_154078,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_154077]) ).
tff(c_154081,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154078,c_346]) ).
tff(c_153394,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_153396,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_153394,c_218]) ).
tff(c_153402,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153385,c_50475]) ).
tff(c_153403,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_153388,c_408,c_153402]) ).
tff(c_153404,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_153403]) ).
tff(c_153585,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153404,c_234]) ).
tff(c_153594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153396,c_153585,c_145040]) ).
tff(c_153595,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_153403]) ).
tff(c_153599,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153595,c_248]) ).
tff(c_153598,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153595,c_242]) ).
tff(c_153608,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153394,c_130291]) ).
tff(c_153609,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_153388,c_404,c_153608]) ).
tff(c_153610,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_153609]) ).
tff(c_153664,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153610,c_141333]) ).
tff(c_153665,plain,
( ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_153598,c_153664]) ).
tff(c_153666,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_153665]) ).
tff(c_153701,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153666,c_153610,c_322]) ).
tff(c_153702,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_153665]) ).
tff(c_153771,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_153702,c_270]) ).
tff(c_153784,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_153396,c_145040]) ).
tff(c_153789,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153784,c_240]) ).
tff(c_153619,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_153599,c_153378]) ).
tff(c_153620,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_153619]) ).
tff(c_153661,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153620,c_153394,c_212]) ).
tff(c_153662,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_153619]) ).
tff(c_153819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153771,c_153789,c_153662]) ).
tff(c_153820,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_153609]) ).
tff(c_153823,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_153820,c_368]) ).
tff(c_153830,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153820,c_153378]) ).
tff(c_153831,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_153599,c_153823,c_153830]) ).
tff(c_153833,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153831,c_240]) ).
tff(c_153982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153396,c_153833,c_145040]) ).
tff(c_153983,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_154450,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154078,c_153983]) ).
tff(c_154451,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_154081,c_406,c_154450]) ).
tff(c_154452,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154451,c_266]) ).
tff(c_153989,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153988,c_302]) ).
tff(c_154082,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154078,c_342]) ).
tff(c_154278,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_153388,c_154082,c_130291]) ).
tff(c_154279,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_154278]) ).
tff(c_154402,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_154279,c_153988,c_154]) ).
tff(c_154414,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_154402,c_154402,c_164]) ).
tff(c_154415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153989,c_154414]) ).
tff(c_154416,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_154278]) ).
tff(c_154421,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154416,c_368]) ).
tff(c_153991,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153988,c_228]) ).
tff(c_154196,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_153991,c_153378]) ).
tff(c_154197,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_154196]) ).
tff(c_154202,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_154197,c_220]) ).
tff(c_154224,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153988,c_234]) ).
tff(c_154272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154202,c_154224,c_145040]) ).
tff(c_154273,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_154196]) ).
tff(c_154491,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_154421,c_154273]) ).
tff(c_154497,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154491,c_250]) ).
tff(c_154090,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_153993,c_141333]) ).
tff(c_154091,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_154090]) ).
tff(c_154102,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154091,c_130291]) ).
tff(c_154103,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_153388,c_402,c_154082,c_154102]) ).
tff(c_154191,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_154103,c_154103,c_153385,c_158]) ).
tff(c_154192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_154191]) ).
tff(c_154193,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_154090]) ).
tff(c_154505,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154452,c_154497,c_154193]) ).
tff(c_154506,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_154077]) ).
tff(c_154514,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154506,c_370]) ).
tff(c_154739,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154506,c_153378]) ).
tff(c_154740,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_154514,c_154739]) ).
tff(c_154741,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_154740]) ).
tff(c_154746,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_154741,c_220]) ).
tff(c_154797,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153988,c_234]) ).
tff(c_154800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154746,c_154797,c_145040]) ).
tff(c_154801,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_154740]) ).
tff(c_154827,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154801,c_252]) ).
tff(c_153992,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153988,c_224]) ).
tff(c_154829,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_154827,c_153992,c_153983]) ).
tff(c_154831,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154829,c_266]) ).
tff(c_154815,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154801,c_250]) ).
tff(c_154519,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_153993,c_141333]) ).
tff(c_154520,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_154519]) ).
tff(c_154522,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_154520,c_216]) ).
tff(c_154581,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153988,c_234]) ).
tff(c_154638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154522,c_154581,c_145040]) ).
tff(c_154639,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_154519]) ).
tff(c_154890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154831,c_154815,c_154639]) ).
tff(c_154891,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_153987]) ).
tff(c_154895,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154891,c_248]) ).
tff(c_155044,plain,
( ( op(e1,e1) = e1 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_155016,c_154895,c_153378]) ).
tff(c_155045,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_155044]) ).
tff(c_155050,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_155045,c_220]) ).
tff(c_155003,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155002,c_236]) ).
tff(c_155102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155050,c_155003,c_145040]) ).
tff(c_155103,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_155044]) ).
tff(c_155116,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155103,c_272]) ).
tff(c_154896,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154891,c_244]) ).
tff(c_155004,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155002,c_226]) ).
tff(c_155124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155116,c_154896,c_155004,c_153983]) ).
tff(c_155126,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_155001]) ).
tff(c_154894,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154891,c_242]) ).
tff(c_155129,plain,
( ( op(e1,e3) = e1 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_155126,c_154894,c_141333]) ).
tff(c_155130,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_155129]) ).
tff(c_155132,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_155130,c_216]) ).
tff(c_155257,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_155132,c_145040]) ).
tff(c_155139,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155130,c_130291]) ).
tff(c_155140,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_153388,c_402,c_155139]) ).
tff(c_155141,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_155140]) ).
tff(c_155142,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155141,c_354]) ).
tff(c_154905,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_141396]) ).
tff(c_154998,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153385,c_154905,c_320]) ).
tff(c_154999,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_141396]) ).
tff(c_155196,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_155142,c_154999]) ).
tff(c_155197,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_155196]) ).
tff(c_155206,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155197,c_376]) ).
tff(c_155145,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155141,c_342]) ).
tff(c_155125,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_155001]) ).
tff(c_155240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155206,c_155145,c_155125]) ).
tff(c_155241,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_155196]) ).
tff(c_155315,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_155257,c_155241,c_170]) ).
tff(c_155316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155126,c_155315]) ).
tff(c_155317,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_155140]) ).
tff(c_155338,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155317,c_368]) ).
tff(c_155430,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_155132,c_145040]) ).
tff(c_155435,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155430,c_240]) ).
tff(c_155319,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_154895,c_153378]) ).
tff(c_155320,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_155319]) ).
tff(c_155330,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_155317,c_155320]) ).
tff(c_155332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_155330]) ).
tff(c_155333,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_155319]) ).
tff(c_155474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155338,c_155435,c_155333]) ).
tff(c_155475,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_155129]) ).
tff(c_155593,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155475,c_266]) ).
tff(c_155477,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155475,c_270]) ).
tff(c_155497,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_154895,c_155477,c_153378]) ).
tff(c_155498,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_155497]) ).
tff(c_155503,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_155498,c_220]) ).
tff(c_155509,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155475,c_266]) ).
tff(c_155545,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_155509,c_154896,c_153983]) ).
tff(c_155546,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155545,c_238]) ).
tff(c_155577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155503,c_155546,c_145040]) ).
tff(c_155578,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_155497]) ).
tff(c_155584,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155578,c_232]) ).
tff(c_155618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155593,c_154896,c_155584,c_153983]) ).
tff(c_155619,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_157373,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_155619]) ).
tff(c_157376,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157373,c_380]) ).
tff(c_157374,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157373,c_272]) ).
tff(c_155621,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_155625,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_155621,c_218]) ).
tff(c_156308,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_155625,c_145040]) ).
tff(c_156310,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156308,c_234]) ).
tff(c_155631,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_155764,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155621,c_155631,c_204]) ).
tff(c_155766,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_155816,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155621,c_130291]) ).
tff(c_155817,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_155766,c_404,c_155816]) ).
tff(c_155818,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_155817]) ).
tff(c_155982,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155818,c_328]) ).
tff(c_155986,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_155982,c_155619]) ).
tff(c_155987,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_155986]) ).
tff(c_155993,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155987,c_268]) ).
tff(c_155765,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_156001,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_155993,c_155765]) ).
tff(c_156002,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_156001]) ).
tff(c_156052,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_155621,c_156002,c_155621,c_172]) ).
tff(c_156053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_156052]) ).
tff(c_156054,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_156001]) ).
tff(c_156056,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156054,c_234]) ).
tff(c_156104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155625,c_156056,c_145040]) ).
tff(c_156106,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_155986]) ).
tff(c_156105,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_155986]) ).
tff(c_156107,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156105,c_350]) ).
tff(c_155927,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155818,c_141333]) ).
tff(c_155928,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_155927]) ).
tff(c_155929,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_155928]) ).
tff(c_155960,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155929,c_155818,c_322]) ).
tff(c_155962,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_155928]) ).
tff(c_155827,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_141544]) ).
tff(c_155923,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_155827,c_155818,c_155827,c_162]) ).
tff(c_155924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_155923]) ).
tff(c_155925,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_141544]) ).
tff(c_156250,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_156107,c_155962,c_155925]) ).
tff(c_155767,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_153378]) ).
tff(c_155813,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155767,c_155621,c_212]) ).
tff(c_155814,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_153378]) ).
tff(c_156273,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156250,c_155814]) ).
tff(c_156274,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_156106,c_410,c_156273]) ).
tff(c_156282,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156274,c_248]) ).
tff(c_156119,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_155765]) ).
tff(c_156121,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_156119,c_262]) ).
tff(c_156136,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_156107,c_155962,c_155925]) ).
tff(c_156154,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156136,c_155814]) ).
tff(c_156155,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_156106,c_410,c_156154]) ).
tff(c_156162,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156155,c_250]) ).
tff(c_155961,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_155928]) ).
tff(c_156234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156121,c_156162,c_155961]) ).
tff(c_156235,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_155765]) ).
tff(c_156338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156310,c_156282,c_156235]) ).
tff(c_156339,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_155817]) ).
tff(c_156343,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_156339,c_368]) ).
tff(c_156734,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156343,c_155619]) ).
tff(c_156735,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_156734]) ).
tff(c_156740,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156735,c_352]) ).
tff(c_156756,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156343,c_155814]) ).
tff(c_156757,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_156756]) ).
tff(c_156806,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_156757,c_156735,c_178]) ).
tff(c_156807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156740,c_156806]) ).
tff(c_156808,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_156756]) ).
tff(c_156826,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156808,c_240]) ).
tff(c_156836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155625,c_156826,c_145040]) ).
tff(c_156837,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_156734]) ).
tff(c_156841,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156837,c_330]) ).
tff(c_156855,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156343,c_155814]) ).
tff(c_156856,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_156855]) ).
tff(c_156862,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156856,c_250]) ).
tff(c_156669,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_141333]) ).
tff(c_156693,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156669,c_155621,c_206]) ).
tff(c_156694,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_141333]) ).
tff(c_156878,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156837,c_156694]) ).
tff(c_156879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_156862,c_156841,c_156878]) ).
tff(c_156880,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_156855]) ).
tff(c_156899,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_156880,c_156837,c_168]) ).
tff(c_156900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156841,c_156899]) ).
tff(c_156901,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_157390,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_157374,c_156901]) ).
tff(c_157391,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_157390]) ).
tff(c_157395,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157391,c_358]) ).
tff(c_156906,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_156903,c_314]) ).
tff(c_156912,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_156903,c_302]) ).
tff(c_156915,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_156912,c_141544]) ).
tff(c_156916,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_156915]) ).
tff(c_156920,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156916,c_336]) ).
tff(c_156928,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156906,c_156920,c_141396]) ).
tff(c_156929,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_156928]) ).
tff(c_156933,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156929,c_358]) ).
tff(c_156919,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156916,c_226]) ).
tff(c_156993,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_156933,c_156919,c_156901]) ).
tff(c_156994,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_156993,c_272]) ).
tff(c_156967,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156916,c_330]) ).
tff(c_157018,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156993,c_155619]) ).
tff(c_157019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156994,c_412,c_156967,c_157018]) ).
tff(c_157020,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_156928]) ).
tff(c_157022,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157020,c_380]) ).
tff(c_157076,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156916,c_330]) ).
tff(c_156917,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156916,c_230]) ).
tff(c_157035,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_156917,c_157022,c_153378]) ).
tff(c_157036,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_157035]) ).
tff(c_157056,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_157036,c_156903,c_208]) ).
tff(c_157057,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_157035]) ).
tff(c_157061,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157057,c_252]) ).
tff(c_157079,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_157061,c_156919,c_156901]) ).
tff(c_157095,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157079,c_155619]) ).
tff(c_157096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157022,c_412,c_157076,c_157095]) ).
tff(c_157098,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_156915]) ).
tff(c_157182,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_156903,c_214]) ).
tff(c_157302,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_157182,c_145040]) ).
tff(c_157146,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_156906,c_141396]) ).
tff(c_157147,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_157146]) ).
tff(c_157288,plain,
op(e3,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_157147,c_170]) ).
tff(c_157304,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_157302,c_157288]) ).
tff(c_157314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157098,c_157304]) ).
tff(c_157315,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_157146]) ).
tff(c_157468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157376,c_157395,c_157315]) ).
tff(c_157469,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_157390]) ).
tff(c_157473,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157469,c_238]) ).
tff(c_157519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157318,c_157473,c_145040]) ).
tff(c_157521,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_155619]) ).
tff(c_157320,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_153378]) ).
tff(c_157333,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_157320,c_156903,c_208]) ).
tff(c_157334,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_153378]) ).
tff(c_157639,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_157521,c_157334]) ).
tff(c_157640,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_157639]) ).
tff(c_157645,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157640,c_252]) ).
tff(c_157097,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_156915]) ).
tff(c_157713,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_157097]) ).
tff(c_157520,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_155619]) ).
tff(c_157686,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_157520]) ).
tff(c_157687,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_157686,c_168]) ).
tff(c_157715,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_157713,c_157713,c_157687]) ).
tff(c_157725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_157715]) ).
tff(c_157726,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_157097]) ).
tff(c_157576,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_157521,c_157334]) ).
tff(c_157577,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_157576]) ).
tff(c_157554,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_156901]) ).
tff(c_157555,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_157554,c_186]) ).
tff(c_157578,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_157577,c_157577,c_157555]) ).
tff(c_157588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_157578]) ).
tff(c_157589,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_157576]) ).
tff(c_157594,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157589,c_240]) ).
tff(c_157605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157318,c_157594,c_145040]) ).
tff(c_157606,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_156901]) ).
tff(c_157774,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157726,c_157606]) ).
tff(c_157775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_157645,c_157774]) ).
tff(c_157776,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_157520]) ).
tff(c_157641,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_157640,c_178]) ).
tff(c_157793,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_157776,c_157641]) ).
tff(c_157804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157645,c_157793]) ).
tff(c_157805,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_157639]) ).
tff(c_157810,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157805,c_240]) ).
tff(c_157821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157318,c_157810,c_145040]) ).
tff(c_157823,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_157826,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_157823,c_130291]) ).
tff(c_157827,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_157826]) ).
tff(c_158761,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157827,c_328]) ).
tff(c_158817,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158761,c_155619]) ).
tff(c_158818,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_158817]) ).
tff(c_158821,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158818,c_380]) ).
tff(c_157828,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157827,c_334]) ).
tff(c_157865,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_157828,c_141396]) ).
tff(c_157866,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_157865]) ).
tff(c_157872,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_157866,c_316]) ).
tff(c_157835,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157827,c_141333]) ).
tff(c_157836,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_157835]) ).
tff(c_157837,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_157836]) ).
tff(c_157862,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_157837,c_157827,c_322]) ).
tff(c_157864,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_157836]) ).
tff(c_157880,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_157872,c_157864,c_141544]) ).
tff(c_157881,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_157880]) ).
tff(c_157903,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157881,c_350]) ).
tff(c_157930,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157827,c_328]) ).
tff(c_157938,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_157903,c_157930,c_155619]) ).
tff(c_157940,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157938,c_272]) ).
tff(c_157884,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157881,c_346]) ).
tff(c_157969,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157881,c_156901]) ).
tff(c_157970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157940,c_157884,c_406,c_157969]) ).
tff(c_157971,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_157880]) ).
tff(c_157980,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157971,c_370]) ).
tff(c_157985,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157971,c_153378]) ).
tff(c_157986,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_157980,c_157985]) ).
tff(c_157987,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_157986]) ).
tff(c_157992,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_157987,c_220]) ).
tff(c_158017,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157827,c_328]) ).
tff(c_158019,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_157980,c_158017,c_155619]) ).
tff(c_158024,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158019,c_352]) ).
tff(c_158034,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158019,c_156901]) ).
tff(c_158035,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_158024,c_158034]) ).
tff(c_158039,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158035,c_238]) ).
tff(c_158066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157992,c_158039,c_145040]) ).
tff(c_158067,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_157986]) ).
tff(c_158079,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158067,c_252]) ).
tff(c_158074,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158067,c_248]) ).
tff(c_157822,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_158083,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158074,c_157822]) ).
tff(c_158084,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_158083]) ).
tff(c_158085,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158084,c_262]) ).
tff(c_158073,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158067,c_250]) ).
tff(c_157863,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_157836]) ).
tff(c_158184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158085,c_158073,c_157863]) ).
tff(c_158185,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_158083]) ).
tff(c_158190,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158185,c_224]) ).
tff(c_158200,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_157980,c_155619]) ).
tff(c_158201,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_158200]) ).
tff(c_158217,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158201,c_156901]) ).
tff(c_158218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_158079,c_158190,c_158217]) ).
tff(c_158219,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_158200]) ).
tff(c_158234,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_158219,c_157827,c_328]) ).
tff(c_158235,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_157865]) ).
tff(c_158963,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_158821,c_158235]) ).
tff(c_158923,plain,
op(e0,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_196]) ).
tff(c_158965,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_158963,c_158963,c_158923]) ).
tff(c_158976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_158965]) ).
tff(c_158977,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_158817]) ).
tff(c_158982,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158977,c_350]) ).
tff(c_158980,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158977,c_272]) ).
tff(c_158978,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_158817]) ).
tff(c_158237,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_153378]) ).
tff(c_158242,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_158237,c_220]) ).
tff(c_158457,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157827,c_328]) ).
tff(c_158513,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158457,c_155619]) ).
tff(c_158514,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_158513]) ).
tff(c_158516,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158514,c_380]) ).
tff(c_158517,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158514,c_272]) ).
tff(c_158534,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158517,c_156901]) ).
tff(c_158535,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_158534]) ).
tff(c_158537,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158535,c_358]) ).
tff(c_158580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158516,c_158537,c_158235]) ).
tff(c_158581,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_158534]) ).
tff(c_158585,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158581,c_238]) ).
tff(c_158600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158242,c_158585,c_145040]) ).
tff(c_158601,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_158513]) ).
tff(c_158606,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158601,c_352]) ).
tff(c_158615,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158601,c_156901]) ).
tff(c_158616,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_158606,c_158615]) ).
tff(c_158619,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158616,c_238]) ).
tff(c_158635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158242,c_158619,c_145040]) ).
tff(c_158636,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_153378]) ).
tff(c_159016,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158978,c_158636]) ).
tff(c_159017,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_159016]) ).
tff(c_159011,plain,
op(op(e2,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_158977,c_186]) ).
tff(c_159018,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_159017,c_159011]) ).
tff(c_159032,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_159018,c_159018,c_176]) ).
tff(c_159040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158980,c_159032]) ).
tff(c_159041,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_159016]) ).
tff(c_158640,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_157864,c_141544]) ).
tff(c_158641,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_158640]) ).
tff(c_158751,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_157827,c_157827,c_158641,c_154]) ).
tff(c_158752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_158751]) ).
tff(c_158753,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_158640]) ).
tff(c_159069,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159041,c_158753]) ).
tff(c_159070,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_158982,c_159069]) ).
tff(c_159071,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_157826]) ).
tff(c_161119,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159994,c_159071]) ).
tff(c_161120,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_161119]) ).
tff(c_161124,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161120,c_204]) ).
tff(c_159999,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_159994,c_220]) ).
tff(c_161090,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_159999,c_145040]) ).
tff(c_161093,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161090,c_234]) ).
tff(c_160927,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_157822]) ).
tff(c_160896,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_159994,c_158]) ).
tff(c_160928,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_160927,c_160927,c_160896]) ).
tff(c_160938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_160928]) ).
tff(c_160939,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_157822]) ).
tff(c_161136,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_161093,c_160939]) ).
tff(c_161122,plain,
op(op(e2,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_161120,c_156]) ).
tff(c_161165,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_161136,c_161122]) ).
tff(c_161167,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_161165,c_161165,c_176]) ).
tff(c_161175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161124,c_161167]) ).
tff(c_161176,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_153378]) ).
tff(c_163436,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_161176]) ).
tff(c_163437,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163436,c_272]) ).
tff(c_163442,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163436,c_268]) ).
tff(c_163439,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163436,c_270]) ).
tff(c_159074,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_141333]) ).
tff(c_159077,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_159074,c_216]) ).
tff(c_159914,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_159077,c_145040]) ).
tff(c_159920,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159914,c_240]) ).
tff(c_159917,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159914,c_234]) ).
tff(c_159595,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_155619]) ).
tff(c_159603,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159595,c_368]) ).
tff(c_159597,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159595,c_272]) ).
tff(c_159617,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_159597,c_156901]) ).
tff(c_159618,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_159617]) ).
tff(c_159624,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159618,c_344]) ).
tff(c_159677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159603,c_159624,c_159071]) ).
tff(c_159678,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_159617]) ).
tff(c_159682,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159678,c_238]) ).
tff(c_159767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159077,c_159682,c_145040]) ).
tff(c_159769,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_155619]) ).
tff(c_159083,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_153378]) ).
tff(c_159128,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_159083,c_159074,c_210]) ).
tff(c_159129,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_153378]) ).
tff(c_159929,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_159769,c_159129]) ).
tff(c_159930,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_159929]) ).
tff(c_159939,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159930,c_248]) ).
tff(c_159131,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_141396]) ).
tff(c_159138,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_159131,c_316]) ).
tff(c_159145,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_159138,c_141544]) ).
tff(c_159146,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_159145]) ).
tff(c_159151,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159146,c_222]) ).
tff(c_159166,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_159151,c_157822]) ).
tff(c_159167,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_159166]) ).
tff(c_159172,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159167,c_268]) ).
tff(c_159156,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159146,c_330]) ).
tff(c_159185,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_159172,c_159156,c_155619]) ).
tff(c_159189,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159185,c_352]) ).
tff(c_159149,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159146,c_226]) ).
tff(c_159206,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159185,c_156901]) ).
tff(c_159207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_159189,c_159149,c_159206]) ).
tff(c_159208,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_159166]) ).
tff(c_159214,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159208,c_244]) ).
tff(c_159223,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_159156,c_155619]) ).
tff(c_159224,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_159223]) ).
tff(c_159225,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159224,c_272]) ).
tff(c_159246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159225,c_159214,c_159149,c_156901]) ).
tff(c_159247,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_159223]) ).
tff(c_159265,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159247,c_156901]) ).
tff(c_159266,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_159214,c_159149,c_159265]) ).
tff(c_159268,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_159145]) ).
tff(c_159294,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_157822]) ).
tff(c_159299,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159294,c_268]) ).
tff(c_159297,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159294,c_264]) ).
tff(c_159436,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_159297,c_156901]) ).
tff(c_159437,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_159436]) ).
tff(c_159440,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159437,c_252]) ).
tff(c_159458,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_159299,c_159440,c_159129]) ).
tff(c_159315,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_159299,c_155619]) ).
tff(c_159316,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_159315]) ).
tff(c_159322,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159316,c_348]) ).
tff(c_159400,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_159322,c_159071]) ).
tff(c_159357,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_159294,c_182]) ).
tff(c_159402,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_159400,c_159357]) ).
tff(c_159411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159299,c_159402]) ).
tff(c_159412,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_159315]) ).
tff(c_159415,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_159412,c_168]) ).
tff(c_159460,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_159458,c_159415]) ).
tff(c_159470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159268,c_159460]) ).
tff(c_159471,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_159436]) ).
tff(c_159475,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159471,c_238]) ).
tff(c_159558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159077,c_159475,c_145040]) ).
tff(c_159559,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_157822]) ).
tff(c_159987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159917,c_159939,c_159559]) ).
tff(c_159988,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_159929]) ).
tff(c_159990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159920,c_159988]) ).
tff(c_159991,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_141333]) ).
tff(c_163453,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_163439,c_159991]) ).
tff(c_163454,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_163453]) ).
tff(c_163460,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163454,c_246]) ).
tff(c_163459,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163454,c_242]) ).
tff(c_163472,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_163442,c_163459,c_157822]) ).
tff(c_163477,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163472,c_224]) ).
tff(c_163527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163437,c_163460,c_163477,c_156901]) ).
tff(c_163528,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_163453]) ).
tff(c_163537,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163528,c_222]) ).
tff(c_163542,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_163442,c_163537,c_157822]) ).
tff(c_163548,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163542,c_244]) ).
tff(c_163535,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163528,c_226]) ).
tff(c_163605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163437,c_163548,c_163535,c_156901]) ).
tff(c_163607,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_161176]) ).
tff(c_163640,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_159991]) ).
tff(c_163822,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163640,c_155619]) ).
tff(c_163823,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_163607,c_410,c_163822]) ).
tff(c_163826,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163823,c_352]) ).
tff(c_163645,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163640,c_262]) ).
tff(c_163663,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_163645,c_157822]) ).
tff(c_163664,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_163663]) ).
tff(c_163670,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163664,c_244]) ).
tff(c_163683,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163640,c_155619]) ).
tff(c_163684,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_163607,c_410,c_163683]) ).
tff(c_163715,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163684,c_156901]) ).
tff(c_163716,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_163670,c_163715]) ).
tff(c_163725,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163716,c_226]) ).
tff(c_162024,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_141544]) ).
tff(c_163104,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162024,c_157822]) ).
tff(c_163105,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_163104]) ).
tff(c_163106,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_163105]) ).
tff(c_163115,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163106,c_308]) ).
tff(c_162047,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_161176]) ).
tff(c_162048,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162047,c_272]) ).
tff(c_162053,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162047,c_268]) ).
tff(c_162102,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162024,c_157822]) ).
tff(c_162103,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_162053,c_402,c_162102]) ).
tff(c_162109,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162103,c_244]) ).
tff(c_162050,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162047,c_270]) ).
tff(c_162064,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_162050,c_159991]) ).
tff(c_162065,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_162064]) ).
tff(c_162070,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162065,c_242]) ).
tff(c_162082,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162024,c_157822]) ).
tff(c_162083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162053,c_162070,c_402,c_162082]) ).
tff(c_162084,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_162064]) ).
tff(c_162092,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162084,c_226]) ).
tff(c_162171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162048,c_162109,c_162092,c_156901]) ).
tff(c_162173,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_161176]) ).
tff(c_163073,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_162173,c_155619]) ).
tff(c_163074,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_163073]) ).
tff(c_163097,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163074,c_348]) ).
tff(c_163129,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_163097,c_159071]) ).
tff(c_163109,plain,
op(e1,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_163106,c_158]) ).
tff(c_163146,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_163129,c_163109]) ).
tff(c_163148,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_163146,c_163146,c_188]) ).
tff(c_163156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163115,c_163148]) ).
tff(c_163157,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_163105]) ).
tff(c_163178,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163157,c_242]) ).
tff(c_162207,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_159991]) ).
tff(c_162212,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162207,c_262]) ).
tff(c_162230,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162024,c_157822]) ).
tff(c_162231,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_162212,c_402,c_162230]) ).
tff(c_162238,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162231,c_244]) ).
tff(c_162259,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162207,c_155619]) ).
tff(c_162260,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_162173,c_410,c_162259]) ).
tff(c_162291,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162260,c_156901]) ).
tff(c_162292,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_162238,c_162291]) ).
tff(c_162299,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162292,c_232]) ).
tff(c_162237,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162231,c_248]) ).
tff(c_162172,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_161176]) ).
tff(c_162442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162299,c_162237,c_162172]) ).
tff(c_162443,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_159991]) ).
tff(c_163188,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_163178,c_162443]) ).
tff(c_163194,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163188,c_230]) ).
tff(c_163179,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163157,c_248]) ).
tff(c_163206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163194,c_163179,c_162172]) ).
tff(c_163207,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_163073]) ).
tff(c_163232,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163207,c_340]) ).
tff(c_161937,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_145040]) ).
tff(c_161178,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_141396]) ).
tff(c_161680,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_161178,c_160]) ).
tff(c_161940,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_161937,c_161680]) ).
tff(c_161949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157823,c_161940]) ).
tff(c_161950,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_145040]) ).
tff(c_161958,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161950,c_238]) ).
tff(c_161497,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_155619]) ).
tff(c_161500,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161497,c_270]) ).
tff(c_161503,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161497,c_268]) ).
tff(c_161519,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_161503,c_157822]) ).
tff(c_161520,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_161519]) ).
tff(c_161524,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161520,c_242]) ).
tff(c_161184,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_161178,c_316]) ).
tff(c_161191,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_161184,c_141544]) ).
tff(c_161192,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_161191]) ).
tff(c_161193,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161192,c_230]) ).
tff(c_161208,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_161193,c_161176]) ).
tff(c_161209,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_161208]) ).
tff(c_161210,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161209,c_272]) ).
tff(c_161215,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161209,c_268]) ).
tff(c_161197,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161192,c_222]) ).
tff(c_161250,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_161215,c_161197,c_157822]) ).
tff(c_161257,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161250,c_244]) ).
tff(c_161195,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161192,c_226]) ).
tff(c_161309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161210,c_161257,c_161195,c_156901]) ).
tff(c_161310,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_161208]) ).
tff(c_161314,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161310,c_252]) ).
tff(c_161311,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_161208]) ).
tff(c_161203,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161192,c_330]) ).
tff(c_161377,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_161311,c_161203,c_155619]) ).
tff(c_161399,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_161377,c_161310,c_178]) ).
tff(c_161400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161314,c_161399]) ).
tff(c_161402,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_161191]) ).
tff(c_161543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161500,c_161524,c_161402,c_159991]) ).
tff(c_161544,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_161519]) ).
tff(c_161546,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161544,c_234]) ).
tff(c_161657,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_161546,c_145040]) ).
tff(c_161616,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_161178,c_160]) ).
tff(c_161659,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_161657,c_161616]) ).
tff(c_161669,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157823,c_161659]) ).
tff(c_161671,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_155619]) ).
tff(c_161889,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_161671,c_161176]) ).
tff(c_161890,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_161889]) ).
tff(c_161894,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161890,c_252]) ).
tff(c_161405,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_156901]) ).
tff(c_161406,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161405,c_272]) ).
tff(c_161418,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161405,c_155619]) ).
tff(c_161419,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_161406,c_412,c_161418]) ).
tff(c_161464,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161419,c_159991]) ).
tff(c_161465,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_161402,c_161464]) ).
tff(c_161470,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161465,c_250]) ).
tff(c_161409,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161405,c_264]) ).
tff(c_161432,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_161409,c_157822]) ).
tff(c_161433,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_161432]) ).
tff(c_161436,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161433,c_242]) ).
tff(c_161447,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161419,c_159991]) ).
tff(c_161448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_161436,c_161402,c_161447]) ).
tff(c_161449,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_161432]) ).
tff(c_161454,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161449,c_228]) ).
tff(c_161492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161406,c_161470,c_161454,c_161176]) ).
tff(c_161493,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_156901]) ).
tff(c_161966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161958,c_161894,c_161493]) ).
tff(c_161967,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_161889]) ).
tff(c_161970,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161967,c_240]) ).
tff(c_162009,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_161970,c_145040]) ).
tff(c_162011,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_162009,c_161680]) ).
tff(c_162020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157823,c_162011]) ).
tff(c_162021,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_141396]) ).
tff(c_162445,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_162021]) ).
tff(c_162454,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162445,c_374]) ).
tff(c_162640,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_162173,c_155619]) ).
tff(c_162641,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_162640]) ).
tff(c_162650,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162641,c_348]) ).
tff(c_162735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162454,c_162650,c_159071]) ).
tff(c_162736,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_162640]) ).
tff(c_162758,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162736,c_330]) ).
tff(c_162822,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_162758,c_162443]) ).
tff(c_162828,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162822,c_250]) ).
tff(c_162858,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_162828,c_162172]) ).
tff(c_162755,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_162736,c_168]) ).
tff(c_162859,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_162858,c_162755]) ).
tff(c_162870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162758,c_162859]) ).
tff(c_162871,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_162021]) ).
tff(c_163394,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_163232,c_162871]) ).
tff(c_163055,plain,
op(e0,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_196]) ).
tff(c_163396,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_163394,c_163394,c_163055]) ).
tff(c_163407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_163396]) ).
tff(c_163408,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_141544]) ).
tff(c_163792,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163716,c_163408]) ).
tff(c_163793,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_163725,c_163792]) ).
tff(c_163642,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_163640,c_184]) ).
tff(c_163795,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_163793,c_163642]) ).
tff(c_163805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163607,c_163795]) ).
tff(c_163806,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_163663]) ).
tff(c_163813,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163806,c_224]) ).
tff(c_163841,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163823,c_156901]) ).
tff(c_163842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_163826,c_163813,c_163841]) ).
tff(c_163843,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_159991]) ).
tff(c_164331,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_163843]) ).
tff(c_164335,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164331,c_330]) ).
tff(c_164345,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_163607,c_164335,c_155619]) ).
tff(c_164348,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164345,c_352]) ).
tff(c_164338,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164331,c_226]) ).
tff(c_164360,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164345,c_156901]) ).
tff(c_164361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_164348,c_164338,c_164360]) ).
tff(c_164362,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_163843]) ).
tff(c_164371,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164362,c_246]) ).
tff(c_164378,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_163607,c_155619]) ).
tff(c_164379,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_164378]) ).
tff(c_164402,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164379,c_156901]) ).
tff(c_164403,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_164371,c_164402]) ).
tff(c_164364,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_164362,c_174]) ).
tff(c_164404,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_164403,c_164403,c_164364]) ).
tff(c_164415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_164404]) ).
tff(c_164416,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_164378]) ).
tff(c_164428,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164416,c_340]) ).
tff(c_164474,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164428,c_162021]) ).
tff(c_164475,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_164474]) ).
tff(c_164486,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164475,c_376]) ).
tff(c_164363,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_163843]) ).
tff(c_164499,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_164486,c_164363,c_163408]) ).
tff(c_164501,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_164499,c_164364]) ).
tff(c_164511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164371,c_164501]) ).
tff(c_164512,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_164474]) ).
tff(c_164326,plain,
op(op(e0,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_180]) ).
tff(c_164515,plain,
op(e2,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_164512,c_164326]) ).
tff(c_164525,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_130111,c_164515]) ).
tff(c_164527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_164525]) ).
tff(c_164528,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_430]) ).
tff(c_187720,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_187659,c_186868,c_164528]) ).
tff(c_187721,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_187720]) ).
tff(c_187767,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187721,c_187645,c_304]) ).
tff(c_187768,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_187720]) ).
tff(c_187792,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187768,c_186855,c_366]) ).
tff(c_187794,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_174396,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_174401,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_174396,c_310]) ).
tff(c_170255,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164534,c_428]) ).
tff(c_170256,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_170255]) ).
tff(c_171123,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170256,c_366]) ).
tff(c_170274,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_170279,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_170274,c_318]) ).
tff(c_170278,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_170274,c_312]) ).
tff(c_170261,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170256,c_370]) ).
tff(c_170328,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_170278,c_170261,c_85116]) ).
tff(c_170329,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_170328]) ).
tff(c_170334,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170329,c_340]) ).
tff(c_164539,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_164540,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164539,c_300]) ).
tff(c_165815,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_165816,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164540,c_414,c_165815]) ).
tff(c_165817,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_165816]) ).
tff(c_165987,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_165817,c_164539,c_165817,c_198]) ).
tff(c_165988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_165987]) ).
tff(c_165989,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_165816]) ).
tff(c_167616,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_165989]) ).
tff(c_167622,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167616,c_238]) ).
tff(c_164547,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164539,c_434]) ).
tff(c_164548,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_164540,c_420,c_164547]) ).
tff(c_164549,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_164548]) ).
tff(c_165994,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_356]) ).
tff(c_165672,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_360]) ).
tff(c_165043,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164534,c_428]) ).
tff(c_165044,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_165043]) ).
tff(c_165050,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165044,c_370]) ).
tff(c_165194,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_165050,c_85116]) ).
tff(c_165195,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_165194]) ).
tff(c_165418,plain,
op(e1,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_165195,c_268]) ).
tff(c_165056,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165044,c_362]) ).
tff(c_165199,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_165195,c_308]) ).
tff(c_165217,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165195,c_50475]) ).
tff(c_165218,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_165199,c_408,c_165217]) ).
tff(c_165219,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_165218]) ).
tff(c_165224,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165219,c_222]) ).
tff(c_165200,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_165195,c_312]) ).
tff(c_165055,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_358]) ).
tff(c_165045,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165044,c_366]) ).
tff(c_165205,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_165200,c_165055,c_165045,c_164528]) ).
tff(c_164820,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_360]) ).
tff(c_164555,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164539,c_290]) ).
tff(c_164558,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164555,c_438]) ).
tff(c_164559,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_164558]) ).
tff(c_164881,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164559,c_85116]) ).
tff(c_164882,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_164820,c_164881]) ).
tff(c_164883,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_164882]) ).
tff(c_164887,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_164883,c_310]) ).
tff(c_164814,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_356]) ).
tff(c_164568,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164534,c_428]) ).
tff(c_164569,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_164568]) ).
tff(c_164575,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164569,c_370]) ).
tff(c_164786,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_164559,c_164569,c_184]) ).
tff(c_164787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164575,c_164786]) ).
tff(c_164788,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_164568]) ).
tff(c_164958,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_164887,c_164814,c_164788]) ).
tff(c_164963,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164958,c_236]) ).
tff(c_164888,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_164883,c_308]) ).
tff(c_164906,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164883,c_50475]) ).
tff(c_164907,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_164888,c_408,c_164906]) ).
tff(c_164908,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_164907]) ).
tff(c_164913,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164908,c_222]) ).
tff(c_164931,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164908,c_164788]) ).
tff(c_164932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_164913,c_164814,c_164931]) ).
tff(c_164933,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_164907]) ).
tff(c_164938,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164933,c_254]) ).
tff(c_164790,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_164791,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164540,c_414,c_164790]) ).
tff(c_164792,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_164791]) ).
tff(c_164808,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164792,c_164559,c_276]) ).
tff(c_164809,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_164791]) ).
tff(c_164999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164963,c_164938,c_164809]) ).
tff(c_165000,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_164882]) ).
tff(c_165039,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_165000,c_164559,c_270]) ).
tff(c_165040,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_164558]) ).
tff(c_165291,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165205,c_165040]) ).
tff(c_165292,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_165224,c_406,c_165291]) ).
tff(c_165328,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_165292,c_165292,c_165219,c_162]) ).
tff(c_165329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_165328]) ).
tff(c_165330,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_165218]) ).
tff(c_165332,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165330,c_254]) ).
tff(c_165057,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_165058,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164540,c_414,c_165057]) ).
tff(c_165059,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_165058]) ).
tff(c_165181,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_165059,c_164539,c_165059,c_198]) ).
tff(c_165182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_165181]) ).
tff(c_165183,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_165058]) ).
tff(c_165438,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_165332,c_165183]) ).
tff(c_165442,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165438,c_238]) ).
tff(c_165396,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_165332,c_165183]) ).
tff(c_165366,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165205,c_165040]) ).
tff(c_165367,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_165366]) ).
tff(c_165368,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_165367]) ).
tff(c_165343,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_165055,c_130109]) ).
tff(c_165344,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_165343]) ).
tff(c_165382,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_165368,c_165344,c_206]) ).
tff(c_165383,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_165367]) ).
tff(c_165389,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165383,c_236]) ).
tff(c_165408,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_165396,c_165389]) ).
tff(c_165409,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_165343]) ).
tff(c_165453,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_165442,c_165409]) ).
tff(c_165460,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165453,c_348]) ).
tff(c_165422,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165205,c_165040]) ).
tff(c_165423,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_165422]) ).
tff(c_165424,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_165423]) ).
tff(c_165588,plain,
( ( op(e4,e4) = e1 )
| ( e4 = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_165424,c_66]) ).
tff(c_165589,plain,
op(e4,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_165056,c_165460,c_408,c_165588]) ).
tff(c_165590,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_165589,c_165589,c_152]) ).
tff(c_165599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165418,c_165590]) ).
tff(c_165600,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_165423]) ).
tff(c_165602,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_165332,c_165183]) ).
tff(c_165605,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165602,c_236]) ).
tff(c_165624,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_165600,c_165605]) ).
tff(c_165625,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_165194]) ).
tff(c_165758,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_165672,c_165625]) ).
tff(c_165811,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_165758,c_165758,c_165044,c_184]) ).
tff(c_165812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_165811]) ).
tff(c_165813,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_165043]) ).
tff(c_166667,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_165994,c_165813]) ).
tff(c_166668,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_166667]) ).
tff(c_164529,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_430]) ).
tff(c_166242,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_298]) ).
tff(c_165998,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_358]) ).
tff(c_165999,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_165998,c_130109]) ).
tff(c_166000,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_165999]) ).
tff(c_166011,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_166093,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166000,c_166011,c_204]) ).
tff(c_166094,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_166379,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_166094]) ).
tff(c_166383,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166379,c_268]) ).
tff(c_166408,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_166000,c_206]) ).
tff(c_166418,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_166408,c_165040]) ).
tff(c_166419,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_166418]) ).
tff(c_166423,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166419,c_330]) ).
tff(c_166008,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_360]) ).
tff(c_166096,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_166008,c_85116]) ).
tff(c_166097,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_166096]) ).
tff(c_166101,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_166097,c_310]) ).
tff(c_166202,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_166101,c_165994,c_165813]) ).
tff(c_166206,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166202,c_236]) ).
tff(c_166186,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166097,c_166094]) ).
tff(c_166187,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_166186]) ).
tff(c_166188,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_166187]) ).
tff(c_166191,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166188,c_254]) ).
tff(c_166222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166206,c_166191,c_165989]) ).
tff(c_166223,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_166187]) ).
tff(c_166229,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166223,c_222]) ).
tff(c_166237,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166223,c_165813]) ).
tff(c_166238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_166229,c_165994,c_166237]) ).
tff(c_166239,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_166096]) ).
tff(c_166467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166383,c_166423,c_166239]) ).
tff(c_166468,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_166418]) ).
tff(c_166472,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166468,c_256]) ).
tff(c_166486,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_166472,c_165989]) ).
tff(c_166637,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166486,c_164530,c_140]) ).
tff(c_166638,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_166242,c_166472,c_406,c_418,c_166637]) ).
tff(c_166413,plain,
op(op(e1,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164539,c_198]) ).
tff(c_166641,plain,
op(e2,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_166638,c_166413]) ).
tff(c_166649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164529,c_166641]) ).
tff(c_166650,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_166094]) ).
tff(c_166889,plain,
( ( op(e2,e4) = e2 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166668,c_166650]) ).
tff(c_166890,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_166889]) ).
tff(c_166709,plain,
( ( op(e2,e4) = e2 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166668,c_166650]) ).
tff(c_166710,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_166709]) ).
tff(c_166712,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166710,c_242]) ).
tff(c_166688,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_165989]) ).
tff(c_166693,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166688,c_236]) ).
tff(c_166652,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_165040]) ).
tff(c_166664,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166652,c_166000,c_206]) ).
tff(c_166665,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_165040]) ).
tff(c_166862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166712,c_166693,c_166665]) ).
tff(c_166863,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_165989]) ).
tff(c_166871,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166863,c_254]) ).
tff(c_166903,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166890,c_166871]) ).
tff(c_166904,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_166667]) ).
tff(c_166913,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166904,c_222]) ).
tff(c_166911,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166904,c_236]) ).
tff(c_166918,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_166911,c_165989]) ).
tff(c_166924,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166918,c_254]) ).
tff(c_166931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166913,c_166924,c_166650]) ).
tff(c_166932,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_165999]) ).
tff(c_167749,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_167622,c_166932]) ).
tff(c_166934,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_360]) ).
tff(c_167253,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_166934,c_85116]) ).
tff(c_167254,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_167253]) ).
tff(c_167259,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_167254,c_310]) ).
tff(c_167312,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_167259,c_165994,c_165813]) ).
tff(c_167318,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167312,c_236]) ).
tff(c_167320,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167312,c_222]) ).
tff(c_166938,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_166978,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_166938,c_302]) ).
tff(c_166939,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_166938,c_308]) ).
tff(c_166979,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_166939,c_166934,c_85116]) ).
tff(c_166980,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_166979]) ).
tff(c_166998,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166980,c_330]) ).
tff(c_167015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166978,c_166998,c_165994,c_165813]) ).
tff(c_167016,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_166979]) ).
tff(c_167023,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167016,c_372]) ).
tff(c_167036,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_166938,c_202]) ).
tff(c_167037,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_167036,c_165040]) ).
tff(c_167038,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_167037]) ).
tff(c_167039,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167038,c_326]) ).
tff(c_166947,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_165998,c_164528]) ).
tff(c_166948,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_166947]) ).
tff(c_166975,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166948,c_166938,c_304]) ).
tff(c_166976,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_166947]) ).
tff(c_167106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167023,c_167039,c_166976]) ).
tff(c_167108,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_167037]) ).
tff(c_167122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166978,c_167108,c_165994,c_165813]) ).
tff(c_167123,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_167333,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167254,c_167123]) ).
tff(c_167334,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_167320,c_167333]) ).
tff(c_167339,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167334,c_254]) ).
tff(c_167366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167318,c_167339,c_165989]) ).
tff(c_167367,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_167253]) ).
tff(c_167641,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_167367]) ).
tff(c_167642,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167641,c_272]) ).
tff(c_167696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167642,c_167622,c_166932]) ).
tff(c_167697,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_167367]) ).
tff(c_167707,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167697,c_332]) ).
tff(c_167127,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_165998,c_164528]) ).
tff(c_167128,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_167127]) ).
tff(c_167132,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_167128,c_306]) ).
tff(c_167133,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_167128,c_312]) ).
tff(c_167139,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_167133,c_166934,c_85116]) ).
tff(c_167140,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_167139]) ).
tff(c_167158,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167140,c_330]) ).
tff(c_167183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167132,c_167158,c_165994,c_165813]) ).
tff(c_167184,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_167139]) ).
tff(c_167187,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167184,c_268]) ).
tff(c_167222,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_167132,c_165994,c_165813]) ).
tff(c_167230,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167222,c_222]) ).
tff(c_167249,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167128,c_167123]) ).
tff(c_167250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167187,c_404,c_167230,c_167249]) ).
tff(c_167251,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_167127]) ).
tff(c_167712,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_167707,c_167251]) ).
tff(c_167725,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_167712,c_178]) ).
tff(c_167750,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_167749,c_167725]) ).
tff(c_167774,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_167750,c_167749,c_167712,c_186]) ).
tff(c_167775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_167774]) ).
tff(c_167776,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_165989]) ).
tff(c_167784,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167776,c_254]) ).
tff(c_167125,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_298]) ).
tff(c_167429,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_165994,c_165813]) ).
tff(c_167430,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_167429]) ).
tff(c_167455,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167430,c_167123]) ).
tff(c_167456,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_167455]) ).
tff(c_167457,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_167456]) ).
tff(c_167465,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167457,c_264]) ).
tff(c_167480,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_165989]) ).
tff(c_167486,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167480,c_238]) ).
tff(c_167502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167465,c_167486,c_166932]) ).
tff(c_167503,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_165989]) ).
tff(c_167377,plain,
op(op(e2,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164549,c_196]) ).
tff(c_167505,plain,
op(e2,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_167503,c_167377]) ).
tff(c_167612,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_167505,c_167505,c_176]) ).
tff(c_167613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167125,c_167612]) ).
tff(c_167614,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_167456]) ).
tff(c_167840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167784,c_167614]) ).
tff(c_167841,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_167429]) ).
tff(c_167849,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167841,c_236]) ).
tff(c_167851,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167841,c_222]) ).
tff(c_167856,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_167851,c_167123]) ).
tff(c_167857,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_167856]) ).
tff(c_167865,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167857,c_264]) ).
tff(c_167847,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167841,c_226]) ).
tff(c_167902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167865,c_167847,c_166932]) ).
tff(c_167903,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_167856]) ).
tff(c_167908,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167903,c_254]) ).
tff(c_167918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167849,c_167908,c_165989]) ).
tff(c_167919,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_164548]) ).
tff(c_170379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170279,c_170334,c_167919]) ).
tff(c_170380,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_170328]) ).
tff(c_170603,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_170380,c_352]) ).
tff(c_167924,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_167925,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164540,c_414,c_167924]) ).
tff(c_167926,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_167925]) ).
tff(c_168599,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_167926,c_164539,c_167926,c_198]) ).
tff(c_168600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_168599]) ).
tff(c_168601,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_167925]) ).
tff(c_170432,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_168601]) ).
tff(c_170435,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170432,c_396]) ).
tff(c_170445,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_170279,c_167919]) ).
tff(c_170501,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_170445,c_170432,c_194]) ).
tff(c_170558,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_170501,c_170501,c_164]) ).
tff(c_170559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170435,c_170558]) ).
tff(c_170560,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_168601]) ).
tff(c_170566,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_170560,c_256]) ).
tff(c_170574,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_170279,c_167919]) ).
tff(c_170582,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170574,c_336]) ).
tff(c_167923,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164539,c_290]) ).
tff(c_168604,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_167923,c_438]) ).
tff(c_168605,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_168604]) ).
tff(c_170032,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168605,c_262]) ).
tff(c_168606,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168605,c_270]) ).
tff(c_169150,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168605,c_85116]) ).
tff(c_169151,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_168606,c_169150]) ).
tff(c_169152,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_169151]) ).
tff(c_169155,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_169152,c_310]) ).
tff(c_168614,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164534,c_428]) ).
tff(c_168615,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_168614]) ).
tff(c_168977,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_168605,c_168615,c_168]) ).
tff(c_169015,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_168977,c_168605,c_168615,c_184]) ).
tff(c_169016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_169015]) ).
tff(c_169017,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_168614]) ).
tff(c_169475,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_169155,c_169017]) ).
tff(c_169476,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_169475]) ).
tff(c_169480,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169476,c_236]) ).
tff(c_169156,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_169152,c_308]) ).
tff(c_169162,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169152,c_50475]) ).
tff(c_169163,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_169156,c_408,c_169162]) ).
tff(c_169164,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_169163]) ).
tff(c_169169,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169164,c_222]) ).
tff(c_169197,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169164,c_169017]) ).
tff(c_169198,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_169169,c_169197]) ).
tff(c_169202,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169198,c_226]) ).
tff(c_169206,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169198,c_232]) ).
tff(c_169190,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_169152,c_320]) ).
tff(c_169286,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_169190,c_167919]) ).
tff(c_169289,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169286,c_286]) ).
tff(c_169168,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169164,c_224]) ).
tff(c_169149,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168605,c_266]) ).
tff(c_169177,plain,
( ( op(e2,e2) = e2 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_169168,c_169149,c_130109]) ).
tff(c_169178,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_169177]) ).
tff(c_169381,plain,
( ( e4 = e3 )
| ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169198,c_169178,c_96]) ).
tff(c_169382,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_169289,c_406,c_402,c_169381]) ).
tff(c_169383,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_169382]) ).
tff(c_169203,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169198,c_346]) ).
tff(c_169026,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_169032,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_169026,c_318]) ).
tff(c_169030,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_169026,c_306]) ).
tff(c_169031,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_169026,c_312]) ).
tff(c_169038,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168605,c_85116]) ).
tff(c_169039,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_169031,c_410,c_168606,c_169038]) ).
tff(c_169100,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169039,c_350]) ).
tff(c_169109,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_169030,c_169100,c_169017]) ).
tff(c_169115,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169109,c_336]) ).
tff(c_169145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169032,c_169115,c_167919]) ).
tff(c_169146,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_169218,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_169203,c_169146]) ).
tff(c_169219,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_169218]) ).
tff(c_169339,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_169219,c_178]) ).
tff(c_169385,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_169383,c_169339]) ).
tff(c_169395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169206,c_169385]) ).
tff(c_169396,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_169382]) ).
tff(c_169398,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_169396,c_169396,c_176]) ).
tff(c_169407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169202,c_169398]) ).
tff(c_169408,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_169218]) ).
tff(c_169213,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_169198,c_174]) ).
tff(c_169410,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_169408,c_169408,c_169213]) ).
tff(c_169420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_169410]) ).
tff(c_169421,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_169177]) ).
tff(c_169427,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169421,c_346]) ).
tff(c_169439,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169164,c_169017]) ).
tff(c_169440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_169169,c_169427,c_169439]) ).
tff(c_169441,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_169163]) ).
tff(c_169443,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169441,c_254]) ).
tff(c_169527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169480,c_169443,c_168601]) ).
tff(c_169529,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_169475]) ).
tff(c_169468,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_169152,c_320]) ).
tff(c_169618,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_169468,c_167919]) ).
tff(c_169582,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_169443,c_168601]) ).
tff(c_169645,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_169618,c_169582,c_170]) ).
tff(c_169646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169529,c_169645]) ).
tff(c_169647,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_169151]) ).
tff(c_170033,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169647,c_350]) ).
tff(c_170039,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_170033,c_169017]) ).
tff(c_170040,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_170039]) ).
tff(c_169971,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_169974,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_169971,c_314]) ).
tff(c_169972,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_169971,c_302]) ).
tff(c_169981,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169647,c_350]) ).
tff(c_169990,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_169972,c_169981,c_169017]) ).
tff(c_169996,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169990,c_336]) ).
tff(c_170027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169974,c_169996,c_167919]) ).
tff(c_170028,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_170083,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170040,c_170028]) ).
tff(c_170084,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_170032,c_402,c_170083]) ).
tff(c_170088,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_170084,c_254]) ).
tff(c_170120,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_170088,c_168601]) ).
tff(c_170123,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170120,c_396]) ).
tff(c_170048,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_170040,c_316]) ).
tff(c_170146,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_170048,c_167919]) ).
tff(c_170169,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_170146,c_170120,c_194]) ).
tff(c_170171,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_170169,c_170169,c_164]) ).
tff(c_170179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170123,c_170171]) ).
tff(c_170180,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_170039]) ).
tff(c_170188,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170180,c_222]) ).
tff(c_170186,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170180,c_236]) ).
tff(c_170193,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_170032,c_170028]) ).
tff(c_170194,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_170193]) ).
tff(c_170196,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_170194,c_254]) ).
tff(c_170249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170186,c_170196,c_168601]) ).
tff(c_170250,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_170193]) ).
tff(c_170252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170188,c_170250]) ).
tff(c_170253,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_168604]) ).
tff(c_170415,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_170253]) ).
tff(c_170391,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170380,c_130109]) ).
tff(c_170392,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_170391]) ).
tff(c_170393,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_170392]) ).
tff(c_170427,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170415,c_170393,c_206]) ).
tff(c_170428,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_170253]) ).
tff(c_170596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170566,c_170582,c_170428]) ).
tff(c_170597,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_170392]) ).
tff(c_170938,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_170603,c_170597]) ).
tff(c_170273,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164539,c_378]) ).
tff(c_170601,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164539,c_380]) ).
tff(c_170285,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170274,c_50475]) ).
tff(c_170286,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_170285]) ).
tff(c_170287,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_170286]) ).
tff(c_170325,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170287,c_170274,c_304]) ).
tff(c_170326,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_170286]) ).
tff(c_170755,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_170326]) ).
tff(c_170757,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170755,c_320]) ).
tff(c_170728,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_170279,c_167919]) ).
tff(c_170895,plain,
( ( op(e0,e4) = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164539,c_170728,c_146]) ).
tff(c_170896,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_410,c_170757,c_170895]) ).
tff(c_170897,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_170896]) ).
tff(c_170898,plain,
op(e1,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_170897,c_170897,c_200]) ).
tff(c_170909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170601,c_170898]) ).
tff(c_170910,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_170896]) ).
tff(c_170623,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_168601]) ).
tff(c_170626,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170623,c_396]) ).
tff(c_170646,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_170279,c_167919]) ).
tff(c_170703,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_170646,c_170623,c_194]) ).
tff(c_170704,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_170703,c_170703,c_164]) ).
tff(c_170713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170626,c_170704]) ).
tff(c_170714,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_168601]) ).
tff(c_170750,plain,
op(e2,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_170714,c_196]) ).
tff(c_170913,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_170910,c_170750]) ).
tff(c_170923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170273,c_170913]) ).
tff(c_170924,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_170326]) ).
tff(c_170930,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170924,c_224]) ).
tff(c_170951,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170938,c_170930]) ).
tff(c_170952,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_171787,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_171123,c_170952]) ).
tff(c_171788,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_171787]) ).
tff(c_171791,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_171788,c_258]) ).
tff(c_171881,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_171791,c_168601]) ).
tff(c_171886,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171881,c_236]) ).
tff(c_171907,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_167919]) ).
tff(c_171845,plain,
op(op(e0,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_160]) ).
tff(c_171908,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_171907,c_171845]) ).
tff(c_171918,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_171908]) ).
tff(c_171920,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_171918]) ).
tff(c_171921,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_167919]) ).
tff(c_171882,plain,
op(op(e0,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_171881,c_170]) ).
tff(c_171923,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_171921,c_171882]) ).
tff(c_171933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_171886,c_171923]) ).
tff(c_171934,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_171787]) ).
tff(c_171941,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171934,c_338]) ).
tff(c_172065,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_171941,c_167919]) ).
tff(c_171773,plain,
op(e0,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_192]) ).
tff(c_172066,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_172065,c_172065,c_171773]) ).
tff(c_172076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_172066]) ).
tff(c_172077,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_170255]) ).
tff(c_174793,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_174401,c_172077]) ).
tff(c_174794,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_174793]) ).
tff(c_174801,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174794,c_236]) ).
tff(c_174114,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_174117,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_174114,c_314]) ).
tff(c_174115,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_174114,c_302]) ).
tff(c_174215,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_174115,c_172077]) ).
tff(c_174216,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_174215]) ).
tff(c_174223,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174216,c_336]) ).
tff(c_174338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174117,c_174223,c_167919]) ).
tff(c_174339,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_174215]) ).
tff(c_174343,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_174339,c_346]) ).
tff(c_174204,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_174114,c_202]) ).
tff(c_174340,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_174215]) ).
tff(c_174353,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_174204,c_174340,c_170253]) ).
tff(c_174392,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_174353,c_174339,c_174]) ).
tff(c_174393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174343,c_174392]) ).
tff(c_174394,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_174715,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174396,c_174394]) ).
tff(c_174716,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_174715]) ).
tff(c_174717,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_174716]) ).
tff(c_174720,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_174717,c_254]) ).
tff(c_174813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174801,c_174720,c_168601]) ).
tff(c_174815,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_174793]) ).
tff(c_174410,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_174396,c_320]) ).
tff(c_174870,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_174410,c_167919]) ).
tff(c_174838,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_174720,c_168601]) ).
tff(c_174840,plain,
op(op(e0,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_174838,c_170]) ).
tff(c_174872,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_174870,c_174840]) ).
tff(c_174882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174815,c_174872]) ).
tff(c_174883,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_174716]) ).
tff(c_174890,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174883,c_222]) ).
tff(c_174919,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_174890,c_170253]) ).
tff(c_174920,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_174919]) ).
tff(c_174885,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_174883,c_162]) ).
tff(c_174921,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_174920,c_174920,c_174885]) ).
tff(c_174931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_174921]) ).
tff(c_174932,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_174919]) ).
tff(c_174941,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_174932,c_246]) ).
tff(c_174947,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174883,c_172077]) ).
tff(c_174948,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_174890,c_174947]) ).
tff(c_174935,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_174932,c_174]) ).
tff(c_174961,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_174948,c_174935]) ).
tff(c_174962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174941,c_174961]) ).
tff(c_174963,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_174984,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_174963]) ).
tff(c_174986,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174984,c_268]) ).
tff(c_174987,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174984,c_272]) ).
tff(c_172811,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_173088,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_172811,c_206]) ).
tff(c_173872,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_173088,c_170253]) ).
tff(c_173873,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_173872]) ).
tff(c_173881,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173873,c_336]) ).
tff(c_173987,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_173881,c_167919]) ).
tff(c_173965,plain,
op(e0,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_192]) ).
tff(c_173988,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_173987,c_173987,c_173965]) ).
tff(c_173999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_173988]) ).
tff(c_174000,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_173872]) ).
tff(c_174010,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_174000,c_246]) ).
tff(c_172087,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_172094,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_172087,c_318]) ).
tff(c_172092,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_172087,c_306]) ).
tff(c_172635,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_172092,c_172077]) ).
tff(c_172636,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_172635]) ).
tff(c_172643,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172636,c_336]) ).
tff(c_172688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172094,c_172643,c_167919]) ).
tff(c_172689,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_172635]) ).
tff(c_172694,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_172689,c_346]) ).
tff(c_172090,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_172087,c_244]) ).
tff(c_172099,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_172289,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_172087,c_172099,c_172]) ).
tff(c_172352,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_172289,c_172289,c_152]) ).
tff(c_172353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172090,c_172352]) ).
tff(c_172354,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_172466,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_172354]) ).
tff(c_172471,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172466,c_272]) ).
tff(c_172093,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_172087,c_312]) ).
tff(c_172356,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_172093,c_85116]) ).
tff(c_172357,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_172356]) ).
tff(c_172361,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172357,c_340]) ).
tff(c_172444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172094,c_172361,c_167919]) ).
tff(c_172445,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_172356]) ).
tff(c_172626,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172466,c_172445]) ).
tff(c_172627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172471,c_412,c_172626]) ).
tff(c_172628,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_172354]) ).
tff(c_172807,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172689,c_172628]) ).
tff(c_172808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_172694,c_172807]) ).
tff(c_172809,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_174016,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174000,c_172809]) ).
tff(c_174017,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_174010,c_406,c_174016]) ).
tff(c_174025,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174017,c_372]) ).
tff(c_172872,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_172811,c_206]) ).
tff(c_172855,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_172861,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_172855,c_310]) ).
tff(c_172915,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_172861,c_172077]) ).
tff(c_172916,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_172915]) ).
tff(c_172922,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172916,c_236]) ).
tff(c_172821,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_172851,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_172821,c_172811,c_204]) ).
tff(c_172852,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_172896,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172855,c_172852]) ).
tff(c_172897,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_172896]) ).
tff(c_172898,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_172897]) ).
tff(c_172901,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_172898,c_254]) ).
tff(c_172996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172922,c_172901,c_168601]) ).
tff(c_172998,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_172915]) ).
tff(c_172902,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_172898,c_242]) ).
tff(c_173025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172872,c_172998,c_172902,c_170253]) ).
tff(c_173026,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_172897]) ).
tff(c_173033,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173026,c_222]) ).
tff(c_173041,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173026,c_172077]) ).
tff(c_173042,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_173033,c_173041]) ).
tff(c_173047,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_173042,c_346]) ).
tff(c_173072,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_172872,c_173033,c_170253]) ).
tff(c_173059,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_173042,c_174]) ).
tff(c_173073,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_173072,c_173059]) ).
tff(c_173083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173047,c_173073]) ).
tff(c_173084,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_174043,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_174025,c_173084]) ).
tff(c_174044,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_174043]) ).
tff(c_174065,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_174044,c_174044,c_174017,c_186]) ).
tff(c_174066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_174065]) ).
tff(c_174067,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_174043]) ).
tff(c_174079,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174067,c_340]) ).
tff(c_174098,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_174079,c_167919]) ).
tff(c_173582,plain,
op(op(e0,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_160]) ).
tff(c_174099,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_174098,c_173582]) ).
tff(c_174108,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_174099]) ).
tff(c_174110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_174108]) ).
tff(c_174111,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_175014,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_174987,c_174111]) ).
tff(c_175015,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_175014]) ).
tff(c_175021,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175015,c_244]) ).
tff(c_175033,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_174986,c_175021,c_174394]) ).
tff(c_175039,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175033,c_222]) ).
tff(c_175023,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175015,c_246]) ).
tff(c_175087,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_175039,c_175023,c_170253]) ).
tff(c_175034,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_175033,c_162]) ).
tff(c_175088,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_175087,c_175087,c_175034]) ).
tff(c_175098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_175088]) ).
tff(c_175099,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_175014]) ).
tff(c_175104,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175099,c_346]) ).
tff(c_174991,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174984,c_372]) ).
tff(c_175100,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_175014]) ).
tff(c_175132,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_174991,c_175100,c_172809]) ).
tff(c_175101,plain,
op(e3,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_175099,c_174]) ).
tff(c_175133,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_175132,c_175101]) ).
tff(c_175147,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_175133,c_175133,c_164]) ).
tff(c_175155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175104,c_175147]) ).
tff(c_175156,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_174963]) ).
tff(c_175643,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_175156]) ).
tff(c_175652,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175643,c_340]) ).
tff(c_175666,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_175652,c_167919]) ).
tff(c_175183,plain,
op(op(e0,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_160]) ).
tff(c_175668,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_175666,c_175183]) ).
tff(c_175677,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_175668]) ).
tff(c_175679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_175677]) ).
tff(c_175680,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_175156]) ).
tff(c_175555,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_172809]) ).
tff(c_175608,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_175555,c_186]) ).
tff(c_175682,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_175680,c_175680,c_175608]) ).
tff(c_175693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_175682]) ).
tff(c_175694,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_172809]) ).
tff(c_175712,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_175694]) ).
tff(c_175720,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175712,c_338]) ).
tff(c_175831,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_175720,c_167919]) ).
tff(c_175833,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_175831,c_175183]) ).
tff(c_175842,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_175833]) ).
tff(c_175844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_175842]) ).
tff(c_175845,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_175694]) ).
tff(c_175853,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175845,c_346]) ).
tff(c_175860,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_175853,c_172077]) ).
tff(c_175861,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_175860]) ).
tff(c_175871,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_175861,c_316]) ).
tff(c_175884,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_175871,c_167919]) ).
tff(c_175894,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175884,c_336]) ).
tff(c_174395,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_175854,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175845,c_246]) ).
tff(c_175899,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_175854,c_170253]) ).
tff(c_175900,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_175899]) ).
tff(c_175862,plain,
op(e4,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_175861,c_154]) ).
tff(c_175902,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_175900,c_175862]) ).
tff(c_175911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174395,c_175902]) ).
tff(c_175912,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_175899]) ).
tff(c_175914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175894,c_175912]) ).
tff(c_175915,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_175860]) ).
tff(c_175920,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175915,c_330]) ).
tff(c_175849,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175845,c_352]) ).
tff(c_175934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175920,c_175849,c_175156]) ).
tff(c_175935,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_188076,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_188077,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_188076]) ).
tff(c_188078,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_188077]) ).
tff(c_187797,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_187641,c_186859,c_85116]) ).
tff(c_187798,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_187797]) ).
tff(c_188097,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_188078,c_187798,c_158]) ).
tff(c_188098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187794,c_188097]) ).
tff(c_188099,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_188077]) ).
tff(c_188105,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188099,c_248]) ).
tff(c_187793,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_188152,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187798,c_187793]) ).
tff(c_188153,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_188105,c_188152]) ).
tff(c_188160,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188153,c_234]) ).
tff(c_188103,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188099,c_260]) ).
tff(c_186877,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_186878,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186864,c_414,c_186877]) ).
tff(c_186879,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_186878]) ).
tff(c_186892,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186879,c_278]) ).
tff(c_187356,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_186868,c_186892,c_130109]) ).
tff(c_187357,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_187356]) ).
tff(c_187382,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_187383,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_187382]) ).
tff(c_187384,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_187383]) ).
tff(c_187417,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187357,c_187384,c_212]) ).
tff(c_187418,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_187383]) ).
tff(c_187424,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187418,c_250]) ).
tff(c_187423,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187418,c_248]) ).
tff(c_186893,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186879,c_274]) ).
tff(c_186901,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_186893,c_50475]) ).
tff(c_186902,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_186901]) ).
tff(c_186904,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_186902,c_308]) ).
tff(c_186897,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_186867,c_360]) ).
tff(c_186911,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_186904,c_186897,c_186859,c_85116]) ).
tff(c_186916,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186911,c_332]) ).
tff(c_186971,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_186916,c_186868,c_164528]) ).
tff(c_186972,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_186971]) ).
tff(c_187076,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186902,c_186972,c_304]) ).
tff(c_187077,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_186971]) ).
tff(c_187114,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187077,c_186855,c_366]) ).
tff(c_187115,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_186901]) ).
tff(c_187467,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_187423,c_187115]) ).
tff(c_187472,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187467,c_222]) ).
tff(c_186898,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186879,c_276]) ).
tff(c_178136,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_394]) ).
tff(c_178137,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_178138,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_178136,c_414,c_178137]) ).
tff(c_178139,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_178138]) ).
tff(c_179099,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178139,c_274]) ).
tff(c_179100,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_179099,c_50475]) ).
tff(c_179101,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_179100]) ).
tff(c_179102,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_179101,c_302]) ).
tff(c_175945,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164534,c_428]) ).
tff(c_175946,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_175945]) ).
tff(c_175956,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_394]) ).
tff(c_175950,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175946,c_376]) ).
tff(c_175937,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_177025,plain,
( ( op(e0,e4) = e4 )
| ( e3 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_434]) ).
tff(c_177026,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_175956,c_175950,c_416,c_177025]) ).
tff(c_177027,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_177026]) ).
tff(c_177028,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_177027,c_360]) ).
tff(c_175951,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175946,c_370]) ).
tff(c_177205,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_177028,c_175951,c_85116]) ).
tff(c_177206,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_177205]) ).
tff(c_177207,plain,
op(e1,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_177206,c_268]) ).
tff(c_177211,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_177206,c_308]) ).
tff(c_177218,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177206,c_50475]) ).
tff(c_177219,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_177211,c_408,c_177218]) ).
tff(c_177220,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_177219]) ).
tff(c_177226,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177220,c_234]) ).
tff(c_177310,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175946,c_175935]) ).
tff(c_177311,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_175951,c_177310]) ).
tff(c_177312,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_177311]) ).
tff(c_177374,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_177312,c_177206,c_182]) ).
tff(c_177438,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_177374,c_177374,c_152]) ).
tff(c_177439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177207,c_177438]) ).
tff(c_177440,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_177311]) ).
tff(c_177442,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_177440,c_260]) ).
tff(c_175969,plain,
( ( op(e0,e4) = e4 )
| ( e3 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_434]) ).
tff(c_175970,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_175956,c_175950,c_416,c_175969]) ).
tff(c_175971,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_175970]) ).
tff(c_175972,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175971,c_360]) ).
tff(c_176452,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_175972,c_175951,c_85116]) ).
tff(c_176453,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_176452]) ).
tff(c_176458,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_176453,c_308]) ).
tff(c_176494,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175971,c_358]) ).
tff(c_176467,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176453,c_50475]) ).
tff(c_176468,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_176458,c_408,c_176467]) ).
tff(c_176469,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_176468]) ).
tff(c_176473,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176469,c_224]) ).
tff(c_176229,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175946,c_175935]) ).
tff(c_176230,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_175951,c_176229]) ).
tff(c_176231,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_176230]) ).
tff(c_175957,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_175958,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175956,c_414,c_175957]) ).
tff(c_175959,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_175958]) ).
tff(c_175982,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175959,c_278]) ).
tff(c_175995,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_175982,c_130109]) ).
tff(c_175996,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_175995]) ).
tff(c_176247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_176231,c_175996,c_212]) ).
tff(c_176248,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_176230]) ).
tff(c_176257,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176248,c_372]) ).
tff(c_175974,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175971,c_298]) ).
tff(c_176161,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175971,c_358]) ).
tff(c_176006,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_176012,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_176006,c_312]) ).
tff(c_176069,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_176012,c_175972,c_175951,c_85116]) ).
tff(c_176157,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_175946,c_175946,c_176069,c_168]) ).
tff(c_176158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_176157]) ).
tff(c_176159,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_176299,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176248,c_176159]) ).
tff(c_176300,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_176161,c_176299]) ).
tff(c_176308,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176300,c_246]) ).
tff(c_175997,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_175996,c_344]) ).
tff(c_26,plain,
( ( op(e2,e2) = e4 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_176425,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_176161,c_176308,c_175997,c_26]) ).
tff(c_176426,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_176425]) ).
tff(c_176427,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_176426,c_176426,c_176]) ).
tff(c_176436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175974,c_176427]) ).
tff(c_176437,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_176425]) ).
tff(c_176440,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_176437,c_176437,c_176]) ).
tff(c_176449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_176257,c_176440]) ).
tff(c_176450,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_175995]) ).
tff(c_176542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_176494,c_176473,c_176450]) ).
tff(c_176543,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_176468]) ).
tff(c_176547,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176543,c_248]) ).
tff(c_176572,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175946,c_175935]) ).
tff(c_176573,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_176547,c_175951,c_176572]) ).
tff(c_176603,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_176573,c_176453,c_158]) ).
tff(c_176604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_176458,c_176603]) ).
tff(c_176605,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_176452]) ).
tff(c_176811,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_175946,c_175946,c_176605,c_168]) ).
tff(c_176812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_176811]) ).
tff(c_176813,plain,
op(e0,e4) = e4,
inference(splitRight,[status(thm)],[c_175970]) ).
tff(c_177021,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_164530,c_176813,c_160]) ).
tff(c_177022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_177021]) ).
tff(c_177023,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_175958]) ).
tff(c_177473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177226,c_177442,c_177023]) ).
tff(c_177474,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_177219]) ).
tff(c_177479,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_177474,c_248]) ).
tff(c_177525,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175946,c_175935]) ).
tff(c_177526,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_177479,c_175951,c_177525]) ).
tff(c_177569,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_177526,c_177206,c_182]) ).
tff(c_177631,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_177569,c_177569,c_152]) ).
tff(c_177632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177207,c_177631]) ).
tff(c_177633,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_177205]) ).
tff(c_177841,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_175946,c_175946,c_177633,c_168]) ).
tff(c_177842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_177841]) ).
tff(c_177843,plain,
op(e0,e4) = e4,
inference(splitRight,[status(thm)],[c_177026]) ).
tff(c_178132,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_164530,c_177843,c_160]) ).
tff(c_178133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_178132]) ).
tff(c_178134,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_175945]) ).
tff(c_179307,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_179102,c_178134]) ).
tff(c_179308,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_179307]) ).
tff(c_179313,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179308,c_226]) ).
tff(c_178846,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178139,c_278]) ).
tff(c_179153,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_178846,c_130109]) ).
tff(c_179154,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_179153]) ).
tff(c_179186,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179101,c_179154,c_204]) ).
tff(c_179187,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_179153]) ).
tff(c_179325,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_179313,c_179187]) ).
tff(c_179330,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179325,c_252]) ).
tff(c_179312,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179308,c_230]) ).
tff(c_178845,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178139,c_280]) ).
tff(c_179189,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_178845,c_175935]) ).
tff(c_179190,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_179189]) ).
tff(c_179207,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179190,c_179101,c_208]) ).
tff(c_179208,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_179189]) ).
tff(c_179343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179330,c_179312,c_179208]) ).
tff(c_179344,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_179307]) ).
tff(c_179349,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179344,c_346]) ).
tff(c_179359,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179344,c_179187]) ).
tff(c_179360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179349,c_406,c_179359]) ).
tff(c_179361,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_179100]) ).
tff(c_181349,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_179361]) ).
tff(c_181354,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181349,c_244]) ).
tff(c_178854,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_178845,c_85116]) ).
tff(c_178855,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_178854]) ).
tff(c_178857,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_178855,c_310]) ).
tff(c_179039,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_178855,c_320]) ).
tff(c_178937,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_178855,c_320]) ).
tff(c_178858,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_178855,c_308]) ).
tff(c_178865,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178855,c_50475]) ).
tff(c_178866,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_178858,c_408,c_178865]) ).
tff(c_178867,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_178866]) ).
tff(c_178872,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_178867,c_222]) ).
tff(c_178943,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178867,c_178134]) ).
tff(c_178944,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_178872,c_178943]) ).
tff(c_178946,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178944,c_356]) ).
tff(c_178169,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178139,c_280]) ).
tff(c_178149,plain,
( ( op(e0,e4) = e4 )
| ( e3 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_434]) ).
tff(c_178150,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_178136,c_416,c_178149]) ).
tff(c_178151,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_178150]) ).
tff(c_178838,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_178139,c_178151,c_190]) ).
tff(c_178839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_178169,c_178838]) ).
tff(c_178840,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_178150]) ).
tff(c_178961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_178937,c_178946,c_178840]) ).
tff(c_178962,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_178866]) ).
tff(c_178965,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178962,c_248]) ).
tff(c_179000,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_178965,c_178845,c_175935]) ).
tff(c_179001,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_179000]) ).
tff(c_178966,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178962,c_244]) ).
tff(c_178990,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_178966,c_178846,c_130109]) ).
tff(c_178991,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_178990]) ).
tff(c_179019,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179001,c_178991,c_212]) ).
tff(c_179020,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_179000]) ).
tff(c_179022,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179020,c_230]) ).
tff(c_179045,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_178857,c_179022,c_178134]) ).
tff(c_179048,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179045,c_356]) ).
tff(c_179059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179039,c_179048,c_178840]) ).
tff(c_179060,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_178990]) ).
tff(c_179063,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179060,c_226]) ).
tff(c_179094,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179060,c_178134]) ).
tff(c_179095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_178857,c_179063,c_406,c_179094]) ).
tff(c_179096,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_178854]) ).
tff(c_181367,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_179096]) ).
tff(c_181374,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181367,c_360]) ).
tff(c_181394,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_181374,c_178840]) ).
tff(c_181429,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_181394,c_164530,c_160]) ).
tff(c_181430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_181429]) ).
tff(c_181431,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_179096]) ).
tff(c_181448,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_181431,c_330]) ).
tff(c_181011,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_178134]) ).
tff(c_181019,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_181011,c_316]) ).
tff(c_181203,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_181019,c_178840]) ).
tff(c_181209,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181203,c_360]) ).
tff(c_181226,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_181209,c_179096]) ).
tff(c_181231,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_181226,c_270]) ).
tff(c_181252,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181011,c_179361]) ).
tff(c_181253,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_181252]) ).
tff(c_181258,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181253,c_248]) ).
tff(c_180766,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_179096]) ).
tff(c_180775,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180766,c_360]) ).
tff(c_180832,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_180775,c_178840]) ).
tff(c_180498,plain,
op(op(e0,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_160]) ).
tff(c_180834,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_180832,c_180498]) ).
tff(c_180843,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_180834]) ).
tff(c_180845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_180843]) ).
tff(c_180846,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_179096]) ).
tff(c_180857,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180846,c_332]) ).
tff(c_180866,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_179361]) ).
tff(c_180873,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180866,c_244]) ).
tff(c_179364,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_179371,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_179364,c_318]) ).
tff(c_179369,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_179364,c_306]) ).
tff(c_179428,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_179369,c_178134]) ).
tff(c_179429,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_179428]) ).
tff(c_179431,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179429,c_330]) ).
tff(c_179454,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_179431,c_179096]) ).
tff(c_179461,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179454,c_360]) ).
tff(c_179467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179371,c_179461,c_178840]) ).
tff(c_179468,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_179428]) ).
tff(c_179471,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179468,c_356]) ).
tff(c_179522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179371,c_179471,c_178840]) ).
tff(c_179523,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_180512,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_179523]) ).
tff(c_180546,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_179096]) ).
tff(c_180529,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_180512,c_178]) ).
tff(c_180547,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_180546,c_180529]) ).
tff(c_180556,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_180512,c_180547]) ).
tff(c_180558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_180556]) ).
tff(c_180559,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_179096]) ).
tff(c_180564,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180559,c_330]) ).
tff(c_180575,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_179361]) ).
tff(c_180582,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180575,c_244]) ).
tff(c_179945,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_178840]) ).
tff(c_179870,plain,
op(op(e0,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_160]) ).
tff(c_179947,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_179945,c_179870]) ).
tff(c_179956,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_179947]) ).
tff(c_179958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_179956]) ).
tff(c_179959,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_178840]) ).
tff(c_179967,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179959,c_360]) ).
tff(c_179526,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_178846,c_130109]) ).
tff(c_179527,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_179526]) ).
tff(c_179537,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_179527,c_212]) ).
tff(c_179538,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_179537,c_178845,c_175935]) ).
tff(c_179539,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_179538]) ).
tff(c_179540,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179539,c_230]) ).
tff(c_179589,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_179540,c_178134]) ).
tff(c_179590,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_179589]) ).
tff(c_179658,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179590,c_179361]) ).
tff(c_179659,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_179658]) ).
tff(c_179649,plain,
op(e4,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_179527,c_172]) ).
tff(c_179660,plain,
op(e4,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_179659,c_179649]) ).
tff(c_179673,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_179660,c_179527]) ).
tff(c_179675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_179673]) ).
tff(c_179676,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_179589]) ).
tff(c_179685,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179676,c_350]) ).
tff(c_179727,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_179685,c_179096]) ).
tff(c_179580,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_179539,c_168]) ).
tff(c_179728,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_179727,c_179580]) ).
tff(c_179738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179540,c_179728]) ).
tff(c_179739,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_179538]) ).
tff(c_179742,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179739,c_252]) ).
tff(c_179883,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179739,c_179523]) ).
tff(c_179884,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_179742,c_179883]) ).
tff(c_179894,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179884,c_332]) ).
tff(c_179983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179967,c_179894,c_179096]) ).
tff(c_179984,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_179526]) ).
tff(c_180595,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_180582,c_179984]) ).
tff(c_180026,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_178134]) ).
tff(c_180035,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_180026,c_316]) ).
tff(c_180277,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_179096]) ).
tff(c_180284,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180277,c_360]) ).
tff(c_180356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180035,c_180284,c_178840]) ).
tff(c_180357,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_179096]) ).
tff(c_180367,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180357,c_332]) ).
tff(c_180376,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180026,c_179361]) ).
tff(c_180377,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_180376]) ).
tff(c_180382,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180377,c_244]) ).
tff(c_179363,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178139,c_400]) ).
tff(c_175936,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_180058,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_179523]) ).
tff(c_179987,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_178845,c_175935]) ).
tff(c_179988,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_179987]) ).
tff(c_180234,plain,
( ( e4 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180058,c_179988,c_128]) ).
tff(c_180235,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_175936,c_420,c_414,c_180234]) ).
tff(c_180236,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_180235]) ).
tff(c_180238,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_180236,c_180236,c_188]) ).
tff(c_180246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179363,c_180238]) ).
tff(c_180247,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_180235]) ).
tff(c_180094,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_179096]) ).
tff(c_180076,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_180058,c_178]) ).
tff(c_180095,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_180094,c_180076]) ).
tff(c_180104,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_180058,c_180095]) ).
tff(c_180106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_180104]) ).
tff(c_180107,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_179096]) ).
tff(c_180229,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_180107,c_184]) ).
tff(c_180249,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_180247,c_180229]) ).
tff(c_180258,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_180249]) ).
tff(c_180260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_180258]) ).
tff(c_180261,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_179523]) ).
tff(c_180473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180367,c_180382,c_180261]) ).
tff(c_180474,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_178134]) ).
tff(c_180663,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180595,c_180474]) ).
tff(c_180664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_180564,c_180663]) ).
tff(c_180665,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_179361]) ).
tff(c_180672,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180665,c_224]) ).
tff(c_180685,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_180672,c_179984]) ).
tff(c_180691,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180685,c_358]) ).
tff(c_180716,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_180691,c_178840]) ).
tff(c_180718,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_180716,c_180498]) ).
tff(c_180727,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_180718]) ).
tff(c_180729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_180727]) ).
tff(c_180730,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_179523]) ).
tff(c_180951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180857,c_180873,c_180730]) ).
tff(c_180952,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_179361]) ).
tff(c_180959,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180952,c_224]) ).
tff(c_180972,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_180959,c_179984]) ).
tff(c_180976,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180972,c_358]) ).
tff(c_180995,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_180976,c_178840]) ).
tff(c_180997,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_180995,c_180498]) ).
tff(c_181006,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_180997]) ).
tff(c_181008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_181006]) ).
tff(c_181009,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_179987]) ).
tff(c_181285,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_181258,c_181009]) ).
tff(c_181307,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_181285,c_181226,c_184]) ).
tff(c_181309,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_181307,c_181307,c_164]) ).
tff(c_181317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181231,c_181309]) ).
tff(c_181318,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_178134]) ).
tff(c_181459,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_181448,c_181318]) ).
tff(c_181474,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181459,c_179984]) ).
tff(c_181475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181354,c_406,c_181474]) ).
tff(c_181476,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_179361]) ).
tff(c_181482,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_181476,c_224]) ).
tff(c_181602,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_181482,c_179984]) ).
tff(c_181608,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181602,c_346]) ).
tff(c_181483,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_181476,c_222]) ).
tff(c_181629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181608,c_181483,c_181318]) ).
tff(c_181630,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_178138]) ).
tff(c_186734,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_181630]) ).
tff(c_186666,plain,
op(op(e3,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_194]) ).
tff(c_186735,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_186734,c_186734,c_186666]) ).
tff(c_186745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_186735]) ).
tff(c_186746,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_181630]) ).
tff(c_186755,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_186746,c_258]) ).
tff(c_184355,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_181630]) ).
tff(c_184316,plain,
op(e0,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_170]) ).
tff(c_184356,plain,
op(e0,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_184355,c_184316]) ).
tff(c_184366,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_184356]) ).
tff(c_184368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_184366]) ).
tff(c_184369,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_181630]) ).
tff(c_184377,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184369,c_258]) ).
tff(c_181633,plain,
( ( op(e0,e4) = e4 )
| ( e3 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_434]) ).
tff(c_181634,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_178136,c_416,c_181633]) ).
tff(c_181635,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_181634]) ).
tff(c_181637,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181635,c_378]) ).
tff(c_183224,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_181637,c_164528]) ).
tff(c_183225,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_183224]) ).
tff(c_183231,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_183225,c_306]) ).
tff(c_183625,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_183231,c_178134]) ).
tff(c_183626,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_183625]) ).
tff(c_183633,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183626,c_236]) ).
tff(c_183632,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183626,c_226]) ).
tff(c_182477,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_182478,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_182477,c_212]) ).
tff(c_181656,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181635,c_380]) ).
tff(c_182846,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_182478,c_181656,c_175935]) ).
tff(c_182847,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_182846]) ).
tff(c_182848,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182847,c_230]) ).
tff(c_181657,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_181656,c_85116]) ).
tff(c_181658,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_181657]) ).
tff(c_181662,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_181658,c_308]) ).
tff(c_181669,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181658,c_50475]) ).
tff(c_181670,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_181662,c_408,c_181669]) ).
tff(c_181671,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_181670]) ).
tff(c_181676,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_181671,c_222]) ).
tff(c_181840,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181671,c_178134]) ).
tff(c_181841,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_181676,c_181840]) ).
tff(c_181663,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_181658,c_312]) ).
tff(c_181798,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_181663,c_181637,c_164528]) ).
tff(c_181799,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_181798]) ).
tff(c_181920,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_181841,c_181841,c_181799,c_166]) ).
tff(c_181921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_181920]) ).
tff(c_181922,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_181798]) ).
tff(c_181928,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181922,c_346]) ).
tff(c_181954,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181671,c_178134]) ).
tff(c_181955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_181676,c_181928,c_181954]) ).
tff(c_181956,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_181670]) ).
tff(c_181959,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181956,c_248]) ).
tff(c_182082,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_181959,c_181656,c_175935]) ).
tff(c_182083,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_182082]) ).
tff(c_182143,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_182083,c_181658,c_158]) ).
tff(c_182144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181662,c_182143]) ).
tff(c_182145,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_182082]) ).
tff(c_182151,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182145,c_240]) ).
tff(c_182065,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181956,c_254]) ).
tff(c_182208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182151,c_182065,c_181630]) ).
tff(c_182209,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_181657]) ).
tff(c_182974,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_182209]) ).
tff(c_182977,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182974,c_266]) ).
tff(c_182982,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182974,c_350]) ).
tff(c_182853,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182847,c_232]) ).
tff(c_182482,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_182477,c_342]) ).
tff(c_16,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_183065,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_182982,c_182853,c_182482,c_16]) ).
tff(c_183066,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_183065]) ).
tff(c_182852,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182847,c_240]) ).
tff(c_182951,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_182852,c_181630]) ).
tff(c_182958,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182951,c_258]) ).
tff(c_182503,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_182478,c_181656,c_175935]) ).
tff(c_182504,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_182503]) ).
tff(c_182505,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182504,c_230]) ).
tff(c_182489,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_181637,c_164528]) ).
tff(c_182490,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_182489]) ).
tff(c_182496,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_182490,c_306]) ).
tff(c_182521,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_182496,c_182505,c_178134]) ).
tff(c_182527,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182521,c_350]) ).
tff(c_182623,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_182527,c_182209]) ).
tff(c_182539,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_182504,c_168]) ).
tff(c_182625,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_182623,c_182539]) ).
tff(c_182634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182505,c_182625]) ).
tff(c_182635,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_182503]) ).
tff(c_182639,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182635,c_260]) ).
tff(c_182767,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_182639,c_181630]) ).
tff(c_182841,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_182767,c_182767,c_175937,c_194]) ).
tff(c_182842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_182841]) ).
tff(c_182843,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_182489]) ).
tff(c_183007,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_182958,c_182843]) ).
tff(c_183039,plain,
op(op(e3,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_183007,c_174]) ).
tff(c_183067,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_183066,c_183039]) ).
tff(c_183076,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_183067]) ).
tff(c_183078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_183076]) ).
tff(c_183079,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_183065]) ).
tff(c_183082,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_183079,c_183039]) ).
tff(c_183092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182977,c_183082]) ).
tff(c_183093,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_182209]) ).
tff(c_182863,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_182847,c_168]) ).
tff(c_183097,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_183093,c_182863]) ).
tff(c_183106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182848,c_183097]) ).
tff(c_183107,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_182846]) ).
tff(c_183110,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_183107,c_260]) ).
tff(c_183207,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_183110,c_181630]) ).
tff(c_183157,plain,
op(op(e3,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_194]) ).
tff(c_183208,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_183207,c_183207,c_183157]) ).
tff(c_183218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_183208]) ).
tff(c_183219,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_183644,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_183632,c_183219]) ).
tff(c_183645,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_183644]) ).
tff(c_183651,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_183645,c_264]) ).
tff(c_183635,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183626,c_222]) ).
tff(c_182211,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_182212,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_182211,c_302]) ).
tff(c_182293,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_182211,c_304]) ).
tff(c_182294,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_182293,c_181637,c_164528]) ).
tff(c_182295,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_182294]) ).
tff(c_182331,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182295,c_326]) ).
tff(c_182370,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_182212,c_182331,c_178134]) ).
tff(c_182356,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_182295,c_166]) ).
tff(c_182372,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_182370,c_182370,c_182356]) ).
tff(c_182382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_182372]) ).
tff(c_182383,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_182294]) ).
tff(c_182389,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182383,c_252]) ).
tff(c_182397,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_182389,c_181656,c_175935]) ).
tff(c_182398,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_182397]) ).
tff(c_182412,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182398,c_182211,c_208]) ).
tff(c_182413,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_182397]) ).
tff(c_182415,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182413,c_230]) ).
tff(c_182390,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182383,c_346]) ).
tff(c_182473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182212,c_182415,c_182390,c_178134]) ).
tff(c_182474,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_183670,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183225,c_182474]) ).
tff(c_183671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_183651,c_404,c_183635,c_183670]) ).
tff(c_183672,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_183644]) ).
tff(c_183678,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_183672,c_258]) ).
tff(c_183723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_183633,c_183678,c_181630]) ).
tff(c_183724,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_183625]) ).
tff(c_183730,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_183724,c_346]) ).
tff(c_183740,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183724,c_183219]) ).
tff(c_183741,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_183730,c_406,c_183740]) ).
tff(c_183747,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_183741,c_264]) ).
tff(c_183771,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183225,c_182474]) ).
tff(c_183772,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_183747,c_404,c_183771]) ).
tff(c_183780,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183772,c_234]) ).
tff(c_183804,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_183780,c_181630]) ).
tff(c_183810,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_183804,c_260]) ).
tff(c_183776,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183772,c_228]) ).
tff(c_183285,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_183231,c_178134]) ).
tff(c_183286,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_183285]) ).
tff(c_183295,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183286,c_222]) ).
tff(c_183347,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183225,c_182474]) ).
tff(c_183348,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_183295,c_183347]) ).
tff(c_183238,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_181656,c_175935]) ).
tff(c_183239,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_183238]) ).
tff(c_183272,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_183239,c_158]) ).
tff(c_183349,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_183348,c_183348,c_183272]) ).
tff(c_183359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_183349]) ).
tff(c_183360,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_183285]) ).
tff(c_183366,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_183360,c_346]) ).
tff(c_183376,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183360,c_183219]) ).
tff(c_183377,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_183366,c_406,c_183376]) ).
tff(c_183477,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183377,c_182209]) ).
tff(c_183478,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_183477]) ).
tff(c_183484,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183478,c_270]) ).
tff(c_183245,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_183239,c_362]) ).
tff(c_84,plain,
( ( op(e4,e3) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_183542,plain,
( ( op(e4,e3) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_183478,c_84]) ).
tff(c_183543,plain,
( ( op(e4,e3) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_410,c_183542]) ).
tff(c_183544,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_183543]) ).
tff(c_183362,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_183360,c_166]) ).
tff(c_183547,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_183544,c_183362]) ).
tff(c_183555,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_183377,c_183547]) ).
tff(c_183557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_183555]) ).
tff(c_183558,plain,
( ( op(e3,e3) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_183543]) ).
tff(c_183560,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_183558]) ).
tff(c_183383,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_183377,c_264]) ).
tff(c_183407,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183225,c_182474]) ).
tff(c_183408,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_183383,c_404,c_183407]) ).
tff(c_183520,plain,
op(e3,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_183408,c_154]) ).
tff(c_183563,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_183560,c_183520]) ).
tff(c_183573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_183245,c_183563]) ).
tff(c_183574,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_183558]) ).
tff(c_183578,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_183574,c_183574,c_164]) ).
tff(c_183585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_183484,c_183578]) ).
tff(c_183586,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_183238]) ).
tff(c_183879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_183810,c_183776,c_183586]) ).
tff(c_183880,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_183224]) ).
tff(c_184403,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_184377,c_183880]) ).
tff(c_184407,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184403,c_326]) ).
tff(c_184156,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_183219]) ).
tff(c_184162,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184156,c_264]) ).
tff(c_184183,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_184162,c_182474]) ).
tff(c_184184,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_184183]) ).
tff(c_184188,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184184,c_254]) ).
tff(c_184199,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_184188,c_181630]) ).
tff(c_184178,plain,
op(op(e3,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_175937,c_194]) ).
tff(c_184200,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_184199,c_184199,c_184178]) ).
tff(c_184210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_184200]) ).
tff(c_184211,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_184183]) ).
tff(c_184219,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184211,c_234]) ).
tff(c_184226,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_184219,c_181630]) ).
tff(c_184234,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184226,c_258]) ).
tff(c_184249,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_184234,c_183880]) ).
tff(c_184259,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184249,c_332]) ).
tff(c_184286,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184156,c_182209]) ).
tff(c_184287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_184259,c_184286]) ).
tff(c_184288,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_183219]) ).
tff(c_184430,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_184377,c_184288]) ).
tff(c_184406,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_184403,c_166]) ).
tff(c_184432,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_184430,c_184406]) ).
tff(c_184442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184407,c_184432]) ).
tff(c_184443,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_181634]) ).
tff(c_186825,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_184443]) ).
tff(c_186657,plain,
op(e0,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_192]) ).
tff(c_186827,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_186825,c_186825,c_186657]) ).
tff(c_186837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_186827]) ).
tff(c_186838,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_184443]) ).
tff(c_186748,plain,
op(op(e0,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_186746,c_180]) ).
tff(c_186840,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_186838,c_186748]) ).
tff(c_186851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186755,c_186840]) ).
tff(c_186852,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_187431,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_186898,c_186852]) ).
tff(c_187432,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_187431]) ).
tff(c_187448,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187432,c_187357,c_206]) ).
tff(c_187449,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_187431]) ).
tff(c_187493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187424,c_187472,c_187449]) ).
tff(c_187494,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_187356]) ).
tff(c_187499,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187494,c_226]) ).
tff(c_187539,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_187499,c_186898,c_186852]) ).
tff(c_187540,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_187539]) ).
tff(c_187523,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_187524,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_187523]) ).
tff(c_187525,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_187524]) ).
tff(c_187550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187540,c_187525,c_210]) ).
tff(c_187551,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_187539]) ).
tff(c_187554,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187551,c_242]) ).
tff(c_187503,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187494,c_224]) ).
tff(c_187569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187554,c_187503,c_187115]) ).
tff(c_187570,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_187524]) ).
tff(c_187575,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187570,c_248]) ).
tff(c_187634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187575,c_187503,c_187115]) ).
tff(c_187635,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_186878]) ).
tff(c_188187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188160,c_188103,c_187635]) ).
tff(c_188188,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_187797]) ).
tff(c_188375,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_186855,c_188188,c_168]) ).
tff(c_188376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_188375]) ).
tff(c_188377,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_186866]) ).
tff(c_191831,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_188377]) ).
tff(c_191804,plain,
op(e0,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_192]) ).
tff(c_191832,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_191831,c_191831,c_191804]) ).
tff(c_191843,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_191832]) ).
tff(c_191844,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_188377]) ).
tff(c_191847,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191844,c_338]) ).
tff(c_190645,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_190651,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_190645,c_318]) ).
tff(c_191125,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_190651,c_188377]) ).
tff(c_191131,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191125,c_296]) ).
tff(c_191134,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191125,c_336]) ).
tff(c_190958,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_190651,c_188377]) ).
tff(c_190965,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190958,c_340]) ).
tff(c_190911,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_190912,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_190911]) ).
tff(c_190913,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_190912]) ).
tff(c_190904,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_186852]) ).
tff(c_190934,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190913,c_190904,c_210]) ).
tff(c_190935,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_190912]) ).
tff(c_190939,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190935,c_252]) ).
tff(c_190718,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_190719,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_190718]) ).
tff(c_190720,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_190719]) ).
tff(c_190656,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_190734,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190720,c_190656,c_212]) ).
tff(c_190735,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_190719]) ).
tff(c_190771,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190735,c_252]) ).
tff(c_190773,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190735,c_250]) ).
tff(c_190786,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_190651,c_188377]) ).
tff(c_190795,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190786,c_336]) ).
tff(c_190737,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_186852]) ).
tff(c_190766,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190737,c_190656,c_206]) ).
tff(c_190767,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_186852]) ).
tff(c_190800,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_190773,c_190795,c_190767]) ).
tff(c_189988,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_186859,c_85116]) ).
tff(c_189989,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_189988]) ).
tff(c_189992,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_189989,c_308]) ).
tff(c_189999,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189989,c_50475]) ).
tff(c_190000,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_189992,c_408,c_189999]) ).
tff(c_190001,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_190000]) ).
tff(c_190007,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190001,c_234]) ).
tff(c_190354,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_190355,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_190354]) ).
tff(c_190356,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_190355]) ).
tff(c_190462,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_189989,c_190356,c_158]) ).
tff(c_190463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189992,c_190462]) ).
tff(c_190464,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_190355]) ).
tff(c_190474,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190464,c_260]) ).
tff(c_189855,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_188377]) ).
tff(c_189877,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_189855,c_189855,c_164530,c_192]) ).
tff(c_189878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_189877]) ).
tff(c_189879,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_188377]) ).
tff(c_189940,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189879,c_338]) ).
tff(c_189687,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_366]) ).
tff(c_189426,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_189432,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_189426,c_318]) ).
tff(c_189597,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_189432,c_188377]) ).
tff(c_189604,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189597,c_340]) ).
tff(c_188400,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_186859,c_85116]) ).
tff(c_188401,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_188400]) ).
tff(c_188406,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_188401,c_308]) ).
tff(c_188563,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188401,c_50475]) ).
tff(c_188564,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_188406,c_408,c_188563]) ).
tff(c_188565,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_188564]) ).
tff(c_188570,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188565,c_222]) ).
tff(c_188590,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_188591,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_188590]) ).
tff(c_188592,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_188591]) ).
tff(c_188569,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188565,c_224]) ).
tff(c_188380,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_188381,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186864,c_414,c_188380]) ).
tff(c_188382,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_188381]) ).
tff(c_188396,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188382,c_278]) ).
tff(c_188578,plain,
( ( op(e2,e2) = e2 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_188569,c_188396,c_130109]) ).
tff(c_188579,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_188578]) ).
tff(c_188607,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_188592,c_188579,c_212]) ).
tff(c_188608,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_188591]) ).
tff(c_188644,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188608,c_250]) ).
tff(c_188561,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188382,c_276]) ).
tff(c_188610,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_188570,c_188561,c_186852]) ).
tff(c_188611,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_188610]) ).
tff(c_188638,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_188611,c_188579,c_206]) ).
tff(c_188639,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_188610]) ).
tff(c_188652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188644,c_188639]) ).
tff(c_188653,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_188578]) ).
tff(c_188658,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188653,c_246]) ).
tff(c_188679,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_188570,c_188658,c_188561,c_186852]) ).
tff(c_188657,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188653,c_252]) ).
tff(c_188667,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_188668,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_188657,c_186859,c_188667]) ).
tff(c_188689,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_188679,c_188668,c_210]) ).
tff(c_188690,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_188564]) ).
tff(c_188694,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188690,c_248]) ).
tff(c_188781,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_188782,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_188694,c_186859,c_188781]) ).
tff(c_188821,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_188782,c_188401,c_158]) ).
tff(c_188822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188406,c_188821]) ).
tff(c_188823,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_188400]) ).
tff(c_189615,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_189604,c_188823]) ).
tff(c_189616,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189615,c_352]) ).
tff(c_189132,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_189133,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_189132]) ).
tff(c_189134,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_189133]) ).
tff(c_188825,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_188396,c_130109]) ).
tff(c_188826,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_188825]) ).
tff(c_189158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189134,c_188826,c_212]) ).
tff(c_189159,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_189133]) ).
tff(c_189162,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189159,c_252]) ).
tff(c_189071,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188382,c_276]) ).
tff(c_188959,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_188965,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_188959,c_318]) ).
tff(c_189075,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_188965,c_188377]) ).
tff(c_189084,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189075,c_336]) ).
tff(c_188970,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_188971,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_188970]) ).
tff(c_188972,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_188971]) ).
tff(c_188998,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_188972,c_188826,c_212]) ).
tff(c_188999,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_188971]) ).
tff(c_189003,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188999,c_250]) ).
tff(c_189011,plain,
( ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_189003,c_186852]) ).
tff(c_189012,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_189011]) ).
tff(c_189063,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189012,c_188826,c_206]) ).
tff(c_189064,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_189011]) ).
tff(c_189128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189071,c_189084,c_189064]) ).
tff(c_189129,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_189217,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189159,c_189129]) ).
tff(c_189218,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_189162,c_189217]) ).
tff(c_189219,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189218,c_326]) ).
tff(c_189131,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188382,c_276]) ).
tff(c_189172,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_189131,c_186852]) ).
tff(c_189173,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_189172]) ).
tff(c_189194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189173,c_188826,c_206]) ).
tff(c_189195,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_189172]) ).
tff(c_189266,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189218,c_189195]) ).
tff(c_189267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_189219,c_189266]) ).
tff(c_189268,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_188825]) ).
tff(c_189643,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_189616,c_189268]) ).
tff(c_189653,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189643,c_224]) ).
tff(c_188390,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188382,c_274]) ).
tff(c_189271,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_188390,c_50475]) ).
tff(c_189272,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_189271]) ).
tff(c_189325,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_189326,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_189325]) ).
tff(c_189327,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_189326]) ).
tff(c_189362,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189272,c_189327,c_208]) ).
tff(c_189363,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_189326]) ).
tff(c_189366,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189363,c_252]) ).
tff(c_189275,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_189272,c_314]) ).
tff(c_189407,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_189275,c_188377]) ).
tff(c_189409,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189407,c_338]) ).
tff(c_189281,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_189322,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189272,c_189281,c_304]) ).
tff(c_189323,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_189421,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189363,c_189323]) ).
tff(c_189422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_189366,c_189409,c_189421]) ).
tff(c_189423,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_189271]) ).
tff(c_189681,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189426,c_189423]) ).
tff(c_189682,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_189653,c_189681]) ).
tff(c_189683,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_189881,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_189687,c_189683]) ).
tff(c_189882,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_189881]) ).
tff(c_189883,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189882,c_352]) ).
tff(c_189901,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189879,c_340]) ).
tff(c_189936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189883,c_189901,c_188823]) ).
tff(c_189937,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_189881]) ).
tff(c_189979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189940,c_189937]) ).
tff(c_189980,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_188381]) ).
tff(c_190510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190007,c_190474,c_189980]) ).
tff(c_190511,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_190000]) ).
tff(c_190514,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190511,c_248]) ).
tff(c_190615,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_190616,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_190514,c_186859,c_190615]) ).
tff(c_190641,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_190616,c_189989,c_158]) ).
tff(c_190642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189992,c_190641]) ).
tff(c_190643,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_189988]) ).
tff(c_190846,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190800,c_190643]) ).
tff(c_190847,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_190846]) ).
tff(c_190833,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_190735,c_178]) ).
tff(c_190848,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_190847,c_190833]) ).
tff(c_190858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190771,c_190848]) ).
tff(c_190859,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_190981,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_190939,c_190859]) ).
tff(c_190982,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_190981]) ).
tff(c_191010,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190982,c_190643]) ).
tff(c_191011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_190965,c_191010]) ).
tff(c_191012,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_190981]) ).
tff(c_191021,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191012,c_238]) ).
tff(c_190937,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190935,c_260]) ).
tff(c_191072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191021,c_190937,c_189980]) ).
tff(c_191073,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_186852]) ).
tff(c_191268,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_191134,c_191073]) ).
tff(c_191269,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_191268]) ).
tff(c_191106,plain,
op(e1,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_184]) ).
tff(c_191272,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_191269,c_191106]) ).
tff(c_191281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186859,c_191272]) ).
tff(c_191282,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_191268]) ).
tff(c_191289,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_191282,c_256]) ).
tff(c_191298,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_191289,c_189980]) ).
tff(c_191139,plain,
op(op(e3,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_191125,c_194]) ).
tff(c_191299,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_191298,c_191139]) ).
tff(c_191313,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_191299,c_191299,c_164]) ).
tff(c_191321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191131,c_191313]) ).
tff(c_191322,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_191988,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_191758,c_191847,c_191322]) ).
tff(c_191995,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_191988,c_246]) ).
tff(c_191854,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191844,c_336]) ).
tff(c_191773,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_186852]) ).
tff(c_191759,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_175935]) ).
tff(c_191760,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_186859,c_191759]) ).
tff(c_191761,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_191760]) ).
tff(c_191786,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_191773,c_191761,c_210]) ).
tff(c_191787,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_186852]) ).
tff(c_192010,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_191995,c_191854,c_191787]) ).
tff(c_191809,plain,
op(e1,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_186855,c_184]) ).
tff(c_192013,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_192010,c_191809]) ).
tff(c_192022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186859,c_192013]) ).
tff(c_192023,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_191760]) ).
tff(c_192027,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192023,c_252]) ).
tff(c_192207,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_188377]) ).
tff(c_192188,plain,
op(e0,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_192]) ).
tff(c_192208,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_192207,c_192207,c_192188]) ).
tff(c_192219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_192208]) ).
tff(c_192220,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_188377]) ).
tff(c_192223,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192220,c_338]) ).
tff(c_192287,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192023,c_191322]) ).
tff(c_192288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_192027,c_192223,c_192287]) ).
tff(c_192289,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_186854]) ).
tff(c_198314,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_192289]) ).
tff(c_195263,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_195264,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_195263,c_302]) ).
tff(c_195265,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_195263,c_308]) ).
tff(c_192291,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_394]) ).
tff(c_192292,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_192291,c_434]) ).
tff(c_192293,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_192292]) ).
tff(c_195261,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192293,c_380]) ).
tff(c_195272,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_195265,c_195261,c_85116]) ).
tff(c_195273,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_195272]) ).
tff(c_195388,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195273,c_330]) ).
tff(c_195403,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_195264,c_195388,c_192289]) ).
tff(c_195407,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195403,c_346]) ).
tff(c_195278,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195273,c_332]) ).
tff(c_192295,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192293,c_378]) ).
tff(c_194231,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_192295,c_164528]) ).
tff(c_194232,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_194231]) ).
tff(c_194235,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_194232,c_306]) ).
tff(c_194236,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_194232,c_312]) ).
tff(c_194242,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192293,c_380]) ).
tff(c_194742,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194236,c_194242,c_85116]) ).
tff(c_194743,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_194742]) ).
tff(c_194978,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194743,c_330]) ).
tff(c_194992,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194235,c_194978,c_192289]) ).
tff(c_194996,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194992,c_346]) ).
tff(c_194309,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194236,c_194242,c_85116]) ).
tff(c_194310,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_194309]) ).
tff(c_194389,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194310,c_270]) ).
tff(c_192305,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_192306,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_192291,c_414,c_192305]) ).
tff(c_192307,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_192306]) ).
tff(c_192315,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192307,c_280]) ).
tff(c_194222,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_192293,c_192307,c_190]) ).
tff(c_194223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_192315,c_194222]) ).
tff(c_194224,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_192306]) ).
tff(c_194413,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_194224]) ).
tff(c_194417,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194413,c_240]) ).
tff(c_194368,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_194242,c_175935]) ).
tff(c_194369,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_194368]) ).
tff(c_194299,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_194386,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194369,c_194299,c_212]) ).
tff(c_194387,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_194368]) ).
tff(c_194436,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194417,c_194387]) ).
tff(c_194439,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194436,c_250]) ).
tff(c_194395,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194310,c_330]) ).
tff(c_194320,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194310,c_186852]) ).
tff(c_194321,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_194320]) ).
tff(c_194322,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_194321]) ).
tff(c_194365,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194299,c_194322,c_206]) ).
tff(c_194366,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_194321]) ).
tff(c_194512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194439,c_194395,c_194366]) ).
tff(c_194513,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_194224]) ).
tff(c_194518,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194513,c_260]) ).
tff(c_194531,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194518,c_194387]) ).
tff(c_194590,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_194531,c_194310,c_184]) ).
tff(c_194591,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_194590,c_194590,c_164]) ).
tff(c_194600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194389,c_194591]) ).
tff(c_194601,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_194309]) ).
tff(c_194609,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194601,c_350]) ).
tff(c_194690,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194235,c_194609,c_192289]) ).
tff(c_194694,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194690,c_236]) ).
tff(c_194709,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194694,c_194224]) ).
tff(c_194713,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194709,c_260]) ).
tff(c_194692,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194690,c_230]) ).
tff(c_194666,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_194242,c_175935]) ).
tff(c_194667,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_194666]) ).
tff(c_194683,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194667,c_194299,c_212]) ).
tff(c_194684,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_194666]) ).
tff(c_194739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194713,c_194692,c_194684]) ).
tff(c_194740,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_195009,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194992,c_194740]) ).
tff(c_195010,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_194996,c_406,c_195009]) ).
tff(c_195017,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195010,c_264]) ).
tff(c_195050,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_194224]) ).
tff(c_195058,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195050,c_234]) ).
tff(c_194244,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194232,c_50475]) ).
tff(c_194245,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_194244]) ).
tff(c_194246,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_194245]) ).
tff(c_194295,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194232,c_194246,c_304]) ).
tff(c_194296,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_194245]) ).
tff(c_195083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195017,c_195058,c_194296]) ).
tff(c_195084,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_194224]) ).
tff(c_195088,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195084,c_256]) ).
tff(c_194753,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194743,c_270]) ).
tff(c_194864,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_194224]) ).
tff(c_194868,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194864,c_240]) ).
tff(c_194768,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_194242,c_175935]) ).
tff(c_194769,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_194768]) ).
tff(c_194754,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194743,c_186852]) ).
tff(c_194755,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_194754]) ).
tff(c_194756,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_194755]) ).
tff(c_194786,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194769,c_194756,c_210]) ).
tff(c_194787,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_194768]) ).
tff(c_194896,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194868,c_194787]) ).
tff(c_194789,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194743,c_330]) ).
tff(c_194804,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194235,c_194789,c_192289]) ).
tff(c_194808,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194804,c_346]) ).
tff(c_194821,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194804,c_194740]) ).
tff(c_194822,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_194808,c_406,c_194821]) ).
tff(c_194882,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_194822,c_186]) ).
tff(c_194897,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_194896,c_194896,c_194882]) ).
tff(c_194907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_194897]) ).
tff(c_194908,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_194224]) ).
tff(c_194911,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194908,c_260]) ).
tff(c_194936,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194911,c_194787]) ).
tff(c_194854,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_194743,c_184]) ).
tff(c_194937,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_194936,c_194854]) ).
tff(c_194951,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_194937,c_194937,c_164]) ).
tff(c_194959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194753,c_194951]) ).
tff(c_194960,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_194755]) ).
tff(c_195156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195088,c_194978,c_194960]) ).
tff(c_195157,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_194742]) ).
tff(c_195177,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195157,c_352]) ).
tff(c_195164,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195157,c_350]) ).
tff(c_195231,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194235,c_195164,c_192289]) ).
tff(c_195236,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195231,c_226]) ).
tff(c_195257,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195157,c_194740]) ).
tff(c_195258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_195177,c_195236,c_195257]) ).
tff(c_195259,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_194231]) ).
tff(c_195460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195407,c_195278,c_195259]) ).
tff(c_195461,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_195272]) ).
tff(c_195463,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195461,c_352]) ).
tff(c_195475,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195461,c_130109]) ).
tff(c_195476,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_195463,c_412,c_195475]) ).
tff(c_195477,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_195476]) ).
tff(c_195542,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_195263,c_195477,c_204]) ).
tff(c_195543,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_195476]) ).
tff(c_195546,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195543,c_226]) ).
tff(c_195598,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195543,c_192289]) ).
tff(c_195599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195264,c_195546,c_406,c_195598]) ).
tff(c_195600,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_198449,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198314,c_195600]) ).
tff(c_198450,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_198449]) ).
tff(c_198451,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_198450]) ).
tff(c_198459,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198451,c_264]) ).
tff(c_196473,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_196483,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_196473,c_212]) ).
tff(c_196515,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196483,c_195261,c_175935]) ).
tff(c_196516,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_196515]) ).
tff(c_196517,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196516,c_230]) ).
tff(c_196484,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_186852]) ).
tff(c_196511,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196484,c_196473,c_206]) ).
tff(c_196512,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_186852]) ).
tff(c_196608,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196517,c_196512]) ).
tff(c_196609,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_196608]) ).
tff(c_196557,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_196516,c_168]) ).
tff(c_196611,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_196609,c_196609,c_196557]) ).
tff(c_196621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_196611]) ).
tff(c_196622,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_196608]) ).
tff(c_196632,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196622,c_246]) ).
tff(c_196701,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196622,c_195259]) ).
tff(c_196702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196632,c_406,c_196701]) ).
tff(c_196703,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_196515]) ).
tff(c_196708,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196703,c_252]) ).
tff(c_196707,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196703,c_250]) ).
tff(c_196706,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196703,c_248]) ).
tff(c_196913,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196706,c_195600]) ).
tff(c_196914,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_196913]) ).
tff(c_196917,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196914,c_262]) ).
tff(c_196942,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196917,c_196707,c_196512]) ).
tff(c_196944,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196942,c_326]) ).
tff(c_196965,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196708,c_196944,c_195259]) ).
tff(c_196966,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_196913]) ).
tff(c_196974,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196966,c_222]) ).
tff(c_196982,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196707,c_196974,c_196512]) ).
tff(c_195603,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_195261,c_85116]) ).
tff(c_195604,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_195603]) ).
tff(c_195608,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_195604,c_310]) ).
tff(c_196202,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_195608,c_192289]) ).
tff(c_196203,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_196202]) ).
tff(c_196212,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196203,c_222]) ).
tff(c_196217,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195604,c_195600]) ).
tff(c_196218,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_196212,c_196217]) ).
tff(c_196220,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196218,c_244]) ).
tff(c_196205,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196203,c_326]) ).
tff(c_196315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196220,c_196205,c_195259]) ).
tff(c_196316,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_196202]) ).
tff(c_196321,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196316,c_346]) ).
tff(c_195616,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_195626,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_195616,c_212]) ).
tff(c_195628,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_195626,c_195261,c_175935]) ).
tff(c_195629,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_195628]) ).
tff(c_195636,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195629,c_228]) ).
tff(c_195726,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195604,c_195600]) ).
tff(c_195727,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_195636,c_195726]) ).
tff(c_195753,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_195727,c_195727,c_195616,c_156]) ).
tff(c_195754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_195753]) ).
tff(c_195755,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_195628]) ).
tff(c_195788,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195755,c_252]) ).
tff(c_195905,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_195788,c_195259]) ).
tff(c_195786,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195755,c_248]) ).
tff(c_195800,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_195608,c_192289]) ).
tff(c_195801,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_195800]) ).
tff(c_195808,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195801,c_222]) ).
tff(c_195815,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195604,c_195600]) ).
tff(c_195816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_195786,c_195808,c_195815]) ).
tff(c_195817,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_195800]) ).
tff(c_195883,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_195817,c_174]) ).
tff(c_195906,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_195905,c_195905,c_195883]) ).
tff(c_195917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_195906]) ).
tff(c_195918,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_196415,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196316,c_195918]) ).
tff(c_196416,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196321,c_406,c_196415]) ).
tff(c_196420,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196416,c_266]) ).
tff(c_196317,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_196202]) ).
tff(c_196101,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195604,c_195600]) ).
tff(c_196102,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_196101]) ).
tff(c_196103,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_196102]) ).
tff(c_196105,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196103,c_244]) ).
tff(c_196161,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196105,c_195259]) ).
tff(c_196006,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_195608,c_192289]) ).
tff(c_196007,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_196006]) ).
tff(c_196016,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196007,c_222]) ).
tff(c_196026,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195604,c_195600]) ).
tff(c_196027,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_196016,c_196026]) ).
tff(c_196029,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196027,c_244]) ).
tff(c_196009,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196007,c_326]) ).
tff(c_196084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196029,c_196009,c_195259]) ).
tff(c_196085,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_196006]) ).
tff(c_196088,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_196085,c_174]) ).
tff(c_196162,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_196161,c_196161,c_196088]) ).
tff(c_196173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_196162]) ).
tff(c_196174,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_196102]) ).
tff(c_195955,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_186852]) ).
tff(c_195993,plain,
op(e4,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_195955,c_162]) ).
tff(c_196177,plain,
op(e4,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_196174,c_195993]) ).
tff(c_196189,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_196177,c_195955]) ).
tff(c_196191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_196189]) ).
tff(c_196192,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_186852]) ).
tff(c_196456,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_196420,c_196317,c_196192]) ).
tff(c_196469,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_196456,c_196316,c_174]) ).
tff(c_196470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196321,c_196469]) ).
tff(c_196471,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_195603]) ).
tff(c_197053,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196982,c_196471]) ).
tff(c_197054,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_197053]) ).
tff(c_197071,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_197054,c_196703,c_178]) ).
tff(c_197072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196708,c_197071]) ).
tff(c_197073,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_198487,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198459,c_197073]) ).
tff(c_198488,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_198487]) ).
tff(c_198493,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198488,c_252]) ).
tff(c_197075,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_195261,c_175935]) ).
tff(c_197076,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_197075]) ).
tff(c_197086,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_197076,c_210]) ).
tff(c_197089,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_197086,c_186852]) ).
tff(c_197090,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_197089]) ).
tff(c_197094,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197090,c_236]) ).
tff(c_197096,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197090,c_222]) ).
tff(c_197180,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_197096,c_195600]) ).
tff(c_197181,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_197180]) ).
tff(c_197127,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_197076,c_158]) ).
tff(c_197183,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_197181,c_197181,c_197127]) ).
tff(c_197194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_197183]) ).
tff(c_197195,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_197180]) ).
tff(c_197201,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197195,c_254]) ).
tff(c_197237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197094,c_197201,c_194224]) ).
tff(c_197239,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_197089]) ).
tff(c_197263,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_197239,c_192289]) ).
tff(c_197264,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_197263]) ).
tff(c_197294,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197264,c_195600]) ).
tff(c_197295,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_197294]) ).
tff(c_197296,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_197295]) ).
tff(c_197246,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_197076,c_158]) ).
tff(c_197297,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_197296,c_197296,c_197246]) ).
tff(c_197307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_197297]) ).
tff(c_197308,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_197295]) ).
tff(c_197311,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197308,c_244]) ).
tff(c_197381,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_197311,c_195259]) ).
tff(c_197390,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197381,c_332]) ).
tff(c_197322,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_197311,c_197073]) ).
tff(c_197323,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_197322]) ).
tff(c_197413,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197323,c_196471]) ).
tff(c_197414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_197390,c_197413]) ).
tff(c_197415,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_197322]) ).
tff(c_197424,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197415,c_238]) ).
tff(c_197312,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197308,c_254]) ).
tff(c_197430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197424,c_197312,c_194224]) ).
tff(c_197431,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_197263]) ).
tff(c_197437,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197431,c_346]) ).
tff(c_197555,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_197437,c_195259]) ).
tff(c_197433,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_197431,c_166]) ).
tff(c_197556,plain,
op(e3,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_197555,c_197433]) ).
tff(c_197565,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_197431,c_197556]) ).
tff(c_197567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_197565]) ).
tff(c_197568,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_197075]) ).
tff(c_198502,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_198493,c_197568]) ).
tff(c_198508,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198502,c_240]) ).
tff(c_198492,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198488,c_258]) ).
tff(c_198529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198508,c_198492,c_194224]) ).
tff(c_198530,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_198487]) ).
tff(c_198540,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198530,c_238]) ).
tff(c_198541,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198530,c_232]) ).
tff(c_198546,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198541,c_197568]) ).
tff(c_198547,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198546,c_260]) ).
tff(c_198571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198540,c_198547,c_194224]) ).
tff(c_198572,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_198450]) ).
tff(c_198579,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198572,c_248]) ).
tff(c_198623,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_198579,c_197568]) ).
tff(c_198629,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198623,c_240]) ).
tff(c_198577,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198572,c_254]) ).
tff(c_198651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198629,c_198577,c_194224]) ).
tff(c_198652,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_192289]) ).
tff(c_199056,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_198652]) ).
tff(c_199062,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199056,c_346]) ).
tff(c_199161,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_199062,c_195259]) ).
tff(c_199058,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_199056,c_174]) ).
tff(c_199162,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_199161,c_199161,c_199058]) ).
tff(c_199172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_199162]) ).
tff(c_199173,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_198652]) ).
tff(c_199177,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199173,c_330]) ).
tff(c_199180,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199173,c_226]) ).
tff(c_199188,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_199180,c_197073]) ).
tff(c_199189,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_199188]) ).
tff(c_199212,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199189,c_196471]) ).
tff(c_199213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_199177,c_199212]) ).
tff(c_199214,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_199188]) ).
tff(c_199216,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_199177,c_196471]) ).
tff(c_199219,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199216,c_352]) ).
tff(c_199245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199214,c_199219]) ).
tff(c_199246,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_192292]) ).
tff(c_205739,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_199246]) ).
tff(c_205523,plain,
op(op(e0,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_160]) ).
tff(c_205740,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_205739,c_205523]) ).
tff(c_205751,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_205740]) ).
tff(c_205753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_205751]) ).
tff(c_205754,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_199246]) ).
tff(c_206052,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_205754]) ).
tff(c_206060,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206052,c_358]) ).
tff(c_201601,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_199246]) ).
tff(c_201623,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_201601,c_164530,c_160]) ).
tff(c_201624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_201623]) ).
tff(c_201625,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_199246]) ).
tff(c_202085,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_201625]) ).
tff(c_202089,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202085,c_356]) ).
tff(c_202093,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202085,c_358]) ).
tff(c_201883,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_201625]) ).
tff(c_201890,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201883,c_360]) ).
tff(c_201887,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201883,c_356]) ).
tff(c_201627,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_192289]) ).
tff(c_199248,plain,
( ( e4 = e0 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_444]) ).
tff(c_199249,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_192291,c_414,c_199248]) ).
tff(c_199250,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_199249]) ).
tff(c_199263,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199250,c_274]) ).
tff(c_200906,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199263,c_50475]) ).
tff(c_200907,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_200906]) ).
tff(c_200931,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_200907,c_208]) ).
tff(c_200916,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_200907,c_202]) ).
tff(c_199268,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199250,c_276]) ).
tff(c_200918,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200916,c_199268,c_186852]) ).
tff(c_200919,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_200918]) ).
tff(c_200922,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200919,c_230]) ).
tff(c_199258,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199250,c_280]) ).
tff(c_200932,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_200931,c_200922,c_199258,c_175935]) ).
tff(c_200933,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200932,c_252]) ).
tff(c_200945,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200919,c_326]) ).
tff(c_199270,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_199547,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199270,c_50475]) ).
tff(c_199548,plain,
( ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_199263,c_199547]) ).
tff(c_199549,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_199548]) ).
tff(c_199559,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199549,c_199270,c_304]) ).
tff(c_199560,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_199548]) ).
tff(c_199567,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199560,c_222]) ).
tff(c_199276,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_199270,c_318]) ).
tff(c_199275,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_199270,c_312]) ).
tff(c_199281,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_199275,c_199258,c_85116]) ).
tff(c_199282,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_199281]) ).
tff(c_199285,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199282,c_340]) ).
tff(c_199413,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199270,c_50475]) ).
tff(c_199414,plain,
( ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_199263,c_199413]) ).
tff(c_199415,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_199414]) ).
tff(c_199425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199415,c_199270,c_304]) ).
tff(c_199426,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_199414]) ).
tff(c_199433,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199426,c_222]) ).
tff(c_199497,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199426,c_192289]) ).
tff(c_199498,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_199433,c_199497]) ).
tff(c_199500,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199498,c_356]) ).
tff(c_199520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199276,c_199285,c_199500,c_199246]) ).
tff(c_199521,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_199281]) ).
tff(c_199525,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199521,c_350]) ).
tff(c_199671,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199560,c_192289]) ).
tff(c_199672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_199567,c_199525,c_199671]) ).
tff(c_199673,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_201028,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200932,c_199673]) ).
tff(c_201029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_200933,c_200945,c_201028]) ).
tff(c_201030,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_200918]) ).
tff(c_201036,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201030,c_246]) ).
tff(c_200909,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_200907,c_302]) ).
tff(c_201031,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_200918]) ).
tff(c_201130,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_200909,c_201031,c_192289]) ).
tff(c_201125,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_201030,c_174]) ).
tff(c_201131,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_201130,c_201125]) ).
tff(c_201142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201036,c_201131]) ).
tff(c_201143,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_200906]) ).
tff(c_201788,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201627,c_201143]) ).
tff(c_201789,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_201788]) ).
tff(c_201794,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201789,c_242]) ).
tff(c_201698,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_201625]) ).
tff(c_201705,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201698,c_360]) ).
tff(c_201714,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201627,c_201143]) ).
tff(c_201715,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_201714]) ).
tff(c_201720,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201715,c_242]) ).
tff(c_201146,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199268,c_186852]) ).
tff(c_201147,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_201146]) ).
tff(c_201150,plain,
op(e3,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_201147,c_322]) ).
tff(c_201158,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_201147,c_210]) ).
tff(c_201160,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_201158,c_199258,c_175935]) ).
tff(c_201161,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_201160]) ).
tff(c_201162,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201161,c_230]) ).
tff(c_201209,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_201162,c_192289]) ).
tff(c_201210,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_201209]) ).
tff(c_201175,plain,
op(e4,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_201147,c_162]) ).
tff(c_201211,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_201210,c_201175]) ).
tff(c_201250,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_201211,c_201211,c_152]) ).
tff(c_201251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201150,c_201250]) ).
tff(c_201252,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_201209]) ).
tff(c_200248,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199263,c_50475]) ).
tff(c_200249,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_200248]) ).
tff(c_199262,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199250,c_278]) ).
tff(c_200237,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199262,c_130109]) ).
tff(c_200238,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_200237]) ).
tff(c_200261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_200249,c_200238,c_204]) ).
tff(c_200262,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_200248]) ).
tff(c_200807,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_200262]) ).
tff(c_200769,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_200238,c_156]) ).
tff(c_200808,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_200807,c_200807,c_200769]) ).
tff(c_200820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_200808]) ).
tff(c_200821,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_200262]) ).
tff(c_200830,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200821,c_222]) ).
tff(c_200303,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199268,c_186852]) ).
tff(c_200304,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_200303]) ).
tff(c_200315,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_200304,c_200238,c_206]) ).
tff(c_200316,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_200303]) ).
tff(c_200838,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_200316]) ).
tff(c_200846,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200838,c_250]) ).
tff(c_200265,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199258,c_175935]) ).
tff(c_200266,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_200265]) ).
tff(c_200297,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_200238,c_200266,c_212]) ).
tff(c_200298,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_200265]) ).
tff(c_200853,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200846,c_200298]) ).
tff(c_200826,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200821,c_228]) ).
tff(c_200869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_200853,c_200826]) ).
tff(c_200870,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_200316]) ).
tff(c_200902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200830,c_200870]) ).
tff(c_200903,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_200237]) ).
tff(c_201335,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201252,c_200903]) ).
tff(c_201336,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_406,c_201335]) ).
tff(c_201259,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201252,c_346]) ).
tff(c_201350,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201336,c_201259]) ).
tff(c_201351,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_201160]) ).
tff(c_201353,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201351,c_252]) ).
tff(c_201490,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201351,c_199673]) ).
tff(c_201491,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_201353,c_201490]) ).
tff(c_201495,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201491,c_326]) ).
tff(c_201547,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_201353,c_200903]) ).
tff(c_201493,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_201491,c_166]) ).
tff(c_201549,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_201547,c_201493]) ).
tff(c_201559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201495,c_201549]) ).
tff(c_201560,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_201146]) ).
tff(c_201749,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_201720,c_201560]) ).
tff(c_201754,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201749,c_330]) ).
tff(c_199675,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199258,c_85116]) ).
tff(c_199676,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_199675]) ).
tff(c_199681,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_199676,c_308]) ).
tff(c_199863,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199676,c_50475]) ).
tff(c_199864,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_199681,c_408,c_199863]) ).
tff(c_199865,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_199864]) ).
tff(c_199870,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199865,c_222]) ).
tff(c_199878,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199870,c_199268,c_186852]) ).
tff(c_199879,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_199878]) ).
tff(c_199927,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_199879,c_199865,c_199879,c_162]) ).
tff(c_199928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_199927]) ).
tff(c_199929,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_199878]) ).
tff(c_199934,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199929,c_250]) ).
tff(c_199867,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199865,c_228]) ).
tff(c_199941,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199867,c_199258,c_175935]) ).
tff(c_199942,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_199941]) ).
tff(c_199959,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_199942,c_199676,c_158]) ).
tff(c_199960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199681,c_199959]) ).
tff(c_199961,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_199941]) ).
tff(c_199963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199934,c_199961]) ).
tff(c_199964,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_199864]) ).
tff(c_199970,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199964,c_244]) ).
tff(c_199680,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_199676,c_310]) ).
tff(c_200058,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_199680,c_192289]) ).
tff(c_200059,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_200058]) ).
tff(c_200064,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200059,c_226]) ).
tff(c_199702,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199676,c_50475]) ).
tff(c_199703,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_199681,c_408,c_199702]) ).
tff(c_199704,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_199703]) ).
tff(c_199709,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199704,c_222]) ).
tff(c_199717,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199709,c_199268,c_186852]) ).
tff(c_199718,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_199717]) ).
tff(c_199688,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199262,c_130109]) ).
tff(c_199689,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_199688]) ).
tff(c_199731,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199718,c_199689,c_206]) ).
tff(c_199732,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_199717]) ).
tff(c_199700,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_199689,c_212]) ).
tff(c_199706,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199704,c_228]) ).
tff(c_199734,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_199700,c_199706,c_199258,c_175935]) ).
tff(c_199739,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199734,c_250]) ).
tff(c_199757,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199732,c_199739]) ).
tff(c_199758,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_199703]) ).
tff(c_199760,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_199700,c_199258,c_175935]) ).
tff(c_199761,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_199760]) ).
tff(c_199762,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199761,c_230]) ).
tff(c_199775,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_199762,c_199268,c_186852]) ).
tff(c_199776,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_199775]) ).
tff(c_199801,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199776,c_199689,c_206]) ).
tff(c_199802,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_199775]) ).
tff(c_199806,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199758,c_242]) ).
tff(c_199825,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199802,c_199806]) ).
tff(c_199826,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_199760]) ).
tff(c_199831,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199826,c_248]) ).
tff(c_199859,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199758,c_199831]) ).
tff(c_199860,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_199688]) ).
tff(c_200146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199970,c_200064,c_199860]) ).
tff(c_200147,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_200058]) ).
tff(c_200233,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200147,c_199860]) ).
tff(c_200234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199970,c_406,c_200233]) ).
tff(c_200235,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_199675]) ).
tff(c_201772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201705,c_201754,c_200235]) ).
tff(c_201773,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_201625]) ).
tff(c_201783,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201773,c_336]) ).
tff(c_201811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201794,c_201783,c_201560]) ).
tff(c_201812,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_192289]) ).
tff(c_201899,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_201887,c_201812]) ).
tff(c_201902,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201899,c_330]) ).
tff(c_201974,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201890,c_201902,c_200235]) ).
tff(c_201975,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_201625]) ).
tff(c_201985,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201975,c_340]) ).
tff(c_202038,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_201985,c_200235]) ).
tff(c_201848,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_199673]) ).
tff(c_201874,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_201848,c_186]) ).
tff(c_202039,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_202038,c_202038,c_201874]) ).
tff(c_202049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_202039]) ).
tff(c_202050,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_199673]) ).
tff(c_202101,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_202093,c_202050]) ).
tff(c_202104,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202101,c_326]) ).
tff(c_202120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202089,c_202104,c_201812]) ).
tff(c_202121,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_201625]) ).
tff(c_202127,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202121,c_338]) ).
tff(c_202132,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202121,c_336]) ).
tff(c_202137,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202132,c_201812]) ).
tff(c_202142,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202137,c_346]) ).
tff(c_202156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202127,c_202142,c_202050]) ).
tff(c_202157,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_199249]) ).
tff(c_206126,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_202157]) ).
tff(c_206136,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206126,c_234]) ).
tff(c_204014,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_203054,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_203059,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_203054,c_310]) ).
tff(c_203929,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_203059,c_192289]) ).
tff(c_203930,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_203929]) ).
tff(c_203937,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203930,c_236]) ).
tff(c_203060,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_203054,c_308]) ).
tff(c_203493,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203054,c_50475]) ).
tff(c_203494,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_203060,c_408,c_203493]) ).
tff(c_203495,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_203494]) ).
tff(c_203500,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203495,c_222]) ).
tff(c_203617,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203495,c_192289]) ).
tff(c_203618,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_203500,c_203617]) ).
tff(c_203622,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203618,c_346]) ).
tff(c_203556,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_203054,c_320]) ).
tff(c_203621,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203618,c_356]) ).
tff(c_203640,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_203556,c_203621,c_199246]) ).
tff(c_203644,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203640,c_338]) ).
tff(c_202165,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_202169,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_202165,c_306]) ).
tff(c_202171,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_202165,c_318]) ).
tff(c_202790,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_175935]) ).
tff(c_202800,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_202790,c_210]) ).
tff(c_202803,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_202800,c_186852]) ).
tff(c_202804,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_202803]) ).
tff(c_202809,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202804,c_336]) ).
tff(c_202841,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202171,c_202809,c_199246]) ).
tff(c_202849,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202841,c_298]) ).
tff(c_202808,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202804,c_236]) ).
tff(c_202902,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202808,c_202157]) ).
tff(c_202924,plain,
op(e2,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_202902,c_202841,c_196]) ).
tff(c_202925,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_202924,c_202924,c_176]) ).
tff(c_202934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202849,c_202925]) ).
tff(c_202936,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_202803]) ).
tff(c_202939,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202169,c_202936,c_192289]) ).
tff(c_202941,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202939,c_346]) ).
tff(c_202312,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_202165,c_304]) ).
tff(c_202302,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_202770,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_202165,c_202302,c_156]) ).
tff(c_202771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202312,c_202770]) ).
tff(c_202772,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_202984,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202939,c_202772]) ).
tff(c_202985,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_202941,c_406,c_202984]) ).
tff(c_202990,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202985,c_272]) ).
tff(c_202170,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_202165,c_312]) ).
tff(c_202177,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_202170,c_85116]) ).
tff(c_202178,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_202177]) ).
tff(c_202272,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202178,c_330]) ).
tff(c_202181,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202178,c_340]) ).
tff(c_202277,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202171,c_202181,c_199246]) ).
tff(c_202279,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202277,c_356]) ).
tff(c_202299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202169,c_202272,c_202279,c_192289]) ).
tff(c_202300,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_202177]) ).
tff(c_203050,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202985,c_202300]) ).
tff(c_203051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202990,c_412,c_203050]) ).
tff(c_203052,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_203667,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_203622,c_203644,c_203052]) ).
tff(c_203675,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203667,c_372]) ).
tff(c_203066,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_203076,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_203066,c_212]) ).
tff(c_203077,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203054,c_50475]) ).
tff(c_203078,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_203060,c_408,c_203077]) ).
tff(c_203079,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_203078]) ).
tff(c_203081,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203079,c_228]) ).
tff(c_203127,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_203076,c_203081,c_175935]) ).
tff(c_203128,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_203127]) ).
tff(c_203131,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203128,c_252]) ).
tff(c_203126,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_203054,c_320]) ).
tff(c_203084,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203079,c_222]) ).
tff(c_203185,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203079,c_192289]) ).
tff(c_203186,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_203084,c_203185]) ).
tff(c_203190,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203186,c_356]) ).
tff(c_203221,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_203126,c_203190,c_199246]) ).
tff(c_203225,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203221,c_338]) ).
tff(c_203250,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203128,c_203052]) ).
tff(c_203251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_203131,c_203225,c_203250]) ).
tff(c_203252,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_203127]) ).
tff(c_203260,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203252,c_372]) ).
tff(c_203279,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203079,c_192289]) ).
tff(c_203280,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_203084,c_203279]) ).
tff(c_203285,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203280,c_346]) ).
tff(c_203284,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203280,c_356]) ).
tff(c_203306,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_203126,c_203284,c_199246]) ).
tff(c_203309,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203306,c_338]) ).
tff(c_203333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203260,c_203285,c_203309,c_203052]) ).
tff(c_203334,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_203078]) ).
tff(c_203489,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_203066,c_203066,c_203334,c_172]) ).
tff(c_203490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_203489]) ).
tff(c_203491,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_203694,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203618,c_203491]) ).
tff(c_203695,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_203622,c_406,c_203694]) ).
tff(c_203684,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_203667,c_186]) ).
tff(c_203697,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_203695,c_203684]) ).
tff(c_203707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203675,c_203697]) ).
tff(c_203708,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_203494]) ).
tff(c_203710,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203708,c_254]) ).
tff(c_203970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203937,c_203710,c_202157]) ).
tff(c_203971,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_203929]) ).
tff(c_203766,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_203054,c_320]) ).
tff(c_203811,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_203766,c_199246]) ).
tff(c_203812,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_203811]) ).
tff(c_203821,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203812,c_336]) ).
tff(c_203888,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_203710,c_202157]) ).
tff(c_203925,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_203888,c_203812,c_170]) ).
tff(c_203926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203821,c_203925]) ).
tff(c_203927,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_203811]) ).
tff(c_203974,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203927,c_356]) ).
tff(c_204011,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_203971,c_203974]) ).
tff(c_204012,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_204624,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_204012]) ).
tff(c_204626,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_204624,c_268]) ).
tff(c_204631,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_204624,c_372]) ).
tff(c_204650,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_204631,c_203052]) ).
tff(c_204651,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_204650]) ).
tff(c_204658,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_204651,c_244]) ).
tff(c_204659,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_204651,c_358]) ).
tff(c_204668,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_204659,c_199246]) ).
tff(c_204669,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_204668]) ).
tff(c_204637,plain,
op(e0,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_192]) ).
tff(c_204670,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_204669,c_204669,c_204637]) ).
tff(c_204681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_204670]) ).
tff(c_204682,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_204668]) ).
tff(c_204692,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_204682,c_336]) ).
tff(c_204656,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_204651,c_346]) ).
tff(c_204697,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_204692,c_204656,c_192289]) ).
tff(c_204025,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_204067,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_204025,c_204014,c_204]) ).
tff(c_204068,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_204728,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_204697,c_204068]) ).
tff(c_204729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204626,c_204658,c_402,c_204728]) ).
tff(c_204730,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_204650]) ).
tff(c_204733,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_204730,c_326]) ).
tff(c_204738,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_204730,c_338]) ).
tff(c_204745,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_204738,c_199246]) ).
tff(c_204746,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_204745]) ).
tff(c_204747,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_204746,c_204746,c_204637]) ).
tff(c_204758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_204747]) ).
tff(c_204759,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_204745]) ).
tff(c_204762,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_204759,c_356]) ).
tff(c_204774,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_204733,c_204762,c_192289]) ).
tff(c_204808,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_204774,c_204068]) ).
tff(c_204809,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_204626,c_402,c_204808]) ).
tff(c_204831,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_204014,c_204809,c_204014,c_172]) ).
tff(c_204832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_204831]) ).
tff(c_204834,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_204012]) ).
tff(c_204024,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_204014,c_212]) ).
tff(c_204086,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_204024,c_175935]) ).
tff(c_204087,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_204086]) ).
tff(c_204090,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_204087,c_240]) ).
tff(c_204088,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_204087,c_230]) ).
tff(c_204071,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_186852]) ).
tff(c_204083,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_204071,c_204014,c_206]) ).
tff(c_204084,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_186852]) ).
tff(c_204584,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204088,c_204084]) ).
tff(c_204585,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_204584]) ).
tff(c_204108,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_204087,c_168]) ).
tff(c_204587,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_204585,c_204585,c_204108]) ).
tff(c_204597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_204587]) ).
tff(c_204598,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_204584]) ).
tff(c_204605,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_204598,c_256]) ).
tff(c_204614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204090,c_204605,c_202157]) ).
tff(c_204615,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_204086]) ).
tff(c_206156,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_204834,c_204615]) ).
tff(c_206164,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206156,c_248]) ).
tff(c_204839,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_204068]) ).
tff(c_204842,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_204839,c_262]) ).
tff(c_205380,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_204842,c_204084]) ).
tff(c_205381,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_205380]) ).
tff(c_205389,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205381,c_246]) ).
tff(c_205238,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_203052]) ).
tff(c_205376,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205238,c_204615]) ).
tff(c_205377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204834,c_412,c_205376]) ).
tff(c_205378,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_203052]) ).
tff(c_205456,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205381,c_205378]) ).
tff(c_205457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_205389,c_205456]) ).
tff(c_205458,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_205380]) ).
tff(c_205467,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_205458,c_336]) ).
tff(c_205191,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_199246]) ).
tff(c_205165,plain,
op(op(e0,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_160]) ).
tff(c_205192,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_205191,c_205165]) ).
tff(c_205203,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_205192]) ).
tff(c_205205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_205203]) ).
tff(c_205206,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_199246]) ).
tff(c_205473,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_205467,c_205206]) ).
tff(c_205480,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205473,c_358]) ).
tff(c_205466,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_205458,c_236]) ).
tff(c_205492,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_205466,c_202157]) ).
tff(c_205474,plain,
op(e2,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_205473,c_180]) ).
tff(c_205493,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_205492,c_205474]) ).
tff(c_205503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_205480,c_205493]) ).
tff(c_205504,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_204068]) ).
tff(c_206188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206136,c_206164,c_205504]) ).
tff(c_206189,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_202157]) ).
tff(c_206053,plain,
op(e2,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_206052,c_180]) ).
tff(c_206192,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_206189,c_206053]) ).
tff(c_206202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206060,c_206192]) ).
tff(c_206203,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_205754]) ).
tff(c_206209,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206203,c_338]) ).
tff(c_206212,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206203,c_296]) ).
tff(c_206244,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_202157]) ).
tff(c_206206,plain,
op(op(e3,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_206203,c_194]) ).
tff(c_206257,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_206244,c_206206]) ).
tff(c_206260,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_206257,c_206257,c_164]) ).
tff(c_206267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206212,c_206260]) ).
tff(c_206268,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_202157]) ).
tff(c_206273,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206268,c_258]) ).
tff(c_205784,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_203052]) ).
tff(c_206048,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205784,c_204615]) ).
tff(c_206049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204834,c_412,c_206048]) ).
tff(c_206050,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_203052]) ).
tff(c_206328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206209,c_206273,c_206050]) ).
tff(c_206329,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_207865,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_206329]) ).
tff(c_207869,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207865,c_272]) ).
tff(c_207867,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207865,c_266]) ).
tff(c_208045,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_202157]) ).
tff(c_208082,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208045,c_236]) ).
tff(c_208046,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_199246]) ).
tff(c_208027,plain,
op(op(e0,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_160]) ).
tff(c_208061,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_208046,c_208027]) ).
tff(c_208072,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_208061]) ).
tff(c_208074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_208072]) ).
tff(c_208075,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_199246]) ).
tff(c_208114,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_208075]) ).
tff(c_208135,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208114,c_356]) ).
tff(c_207886,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_192289]) ).
tff(c_207896,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_207886,c_316]) ).
tff(c_207918,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_207896,c_199246]) ).
tff(c_207919,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_207918]) ).
tff(c_207927,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207919,c_340]) ).
tff(c_207962,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207865,c_204012]) ).
tff(c_207963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207869,c_412,c_207927,c_207962]) ).
tff(c_207964,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_207918]) ).
tff(c_207973,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_207964,c_358]) ).
tff(c_207981,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_207973,c_203052]) ).
tff(c_207982,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_207981]) ).
tff(c_207913,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_207865,c_186]) ).
tff(c_207983,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_207982,c_207913]) ).
tff(c_207993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207869,c_207983]) ).
tff(c_207994,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_207981]) ).
tff(c_208005,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207994,c_332]) ).
tff(c_208010,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207865,c_204012]) ).
tff(c_208011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207869,c_412,c_208005,c_208010]) ).
tff(c_208012,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_192289]) ).
tff(c_208162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208135,c_208082,c_208012]) ).
tff(c_208163,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_208075]) ).
tff(c_208077,plain,
op(op(e0,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_208045,c_170]) ).
tff(c_208165,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_208163,c_208077]) ).
tff(c_208177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208082,c_208165]) ).
tff(c_208178,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_202157]) ).
tff(c_208187,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208178,c_256]) ).
tff(c_206332,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_206336,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_206332,c_302]) ).
tff(c_206338,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_206332,c_314]) ).
tff(c_206344,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_206332,c_202]) ).
tff(c_206346,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_206344,c_186852]) ).
tff(c_206347,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_206346]) ).
tff(c_206354,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206347,c_336]) ).
tff(c_206334,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_206332,c_208]) ).
tff(c_206351,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206347,c_230]) ).
tff(c_206360,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_206334,c_206351,c_175935]) ).
tff(c_206361,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_206360]) ).
tff(c_206364,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206361,c_252]) ).
tff(c_206352,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206347,c_226]) ).
tff(c_206394,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_206364,c_206352,c_206329]) ).
tff(c_206468,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_206361,c_206394,c_206361,c_186]) ).
tff(c_206469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_206468]) ).
tff(c_206470,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_206360]) ).
tff(c_206478,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206470,c_372]) ).
tff(c_206348,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206347,c_326]) ).
tff(c_206517,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_206478,c_206348,c_203052]) ).
tff(c_206524,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206517,c_358]) ).
tff(c_206539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206338,c_206354,c_206524,c_199246]) ).
tff(c_206541,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_206346]) ).
tff(c_206573,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_206336,c_206541,c_192289]) ).
tff(c_206577,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206573,c_346]) ).
tff(c_206576,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206573,c_356]) ).
tff(c_206595,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_206338,c_206576,c_199246]) ).
tff(c_206598,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206595,c_338]) ).
tff(c_206622,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_206577,c_206598,c_203052]) ).
tff(c_206630,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206622,c_372]) ).
tff(c_206578,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206573,c_350]) ).
tff(c_206602,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206595,c_340]) ).
tff(c_206649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206630,c_206578,c_206602,c_204012]) ).
tff(c_206651,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_207210,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_204012]) ).
tff(c_207218,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207210,c_372]) ).
tff(c_207241,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_207218,c_203052]) ).
tff(c_207242,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_207241]) ).
tff(c_207249,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_207242,c_358]) ).
tff(c_207255,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_207249,c_199246]) ).
tff(c_207256,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_207255]) ).
tff(c_207228,plain,
op(e0,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_192]) ).
tff(c_207257,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_207256,c_207256,c_207228]) ).
tff(c_207268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_207257]) ).
tff(c_207269,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_207255]) ).
tff(c_207279,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207269,c_336]) ).
tff(c_207246,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_207242,c_346]) ).
tff(c_207284,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_207279,c_207246,c_192289]) ).
tff(c_206653,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_186852]) ).
tff(c_207205,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_206653,c_154]) ).
tff(c_207285,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_207284,c_207205]) ).
tff(c_207296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206651,c_207285]) ).
tff(c_207297,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_207241]) ).
tff(c_207302,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207297,c_326]) ).
tff(c_207306,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207297,c_338]) ).
tff(c_207313,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_207306,c_199246]) ).
tff(c_207314,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_207313]) ).
tff(c_207315,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_207314,c_207314,c_207228]) ).
tff(c_207326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_207315]) ).
tff(c_207327,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_207313]) ).
tff(c_207331,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_207327,c_356]) ).
tff(c_207343,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_207302,c_207331,c_192289]) ).
tff(c_207344,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_207343,c_207205]) ).
tff(c_207355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206651,c_207344]) ).
tff(c_207357,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_204012]) ).
tff(c_206650,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_206906,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_206650]) ).
tff(c_206910,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206906,c_268]) ).
tff(c_206924,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_206910,c_204012]) ).
tff(c_206925,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_206924]) ).
tff(c_206930,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206925,c_352]) ).
tff(c_206943,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_206930,c_203052]) ).
tff(c_206944,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_206943]) ).
tff(c_206926,plain,
op(op(e2,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_206925,c_186]) ).
tff(c_206945,plain,
op(e1,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_206944,c_206926]) ).
tff(c_206958,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_206945,c_206925]) ).
tff(c_206960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_206958]) ).
tff(c_206961,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_206943]) ).
tff(c_206965,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206961,c_326]) ).
tff(c_206976,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206925,c_206329]) ).
tff(c_206977,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_206930,c_206976]) ).
tff(c_206963,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_206961,c_166]) ).
tff(c_207004,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_206977,c_206963]) ).
tff(c_207005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206965,c_207004]) ).
tff(c_207006,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_206924]) ).
tff(c_207011,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207006,c_330]) ).
tff(c_206912,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206906,c_264]) ).
tff(c_207021,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_206912,c_206329]) ).
tff(c_207022,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_207021]) ).
tff(c_207026,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_207022,c_346]) ).
tff(c_207035,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_207011,c_207026,c_192289]) ).
tff(c_207043,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_207035,c_316]) ).
tff(c_207015,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207006,c_340]) ).
tff(c_207029,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_207022,c_358]) ).
tff(c_207052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207043,c_207015,c_207029,c_199246]) ).
tff(c_207054,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_207021]) ).
tff(c_207053,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_207021]) ).
tff(c_207061,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207053,c_238]) ).
tff(c_207162,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_207061,c_202157]) ).
tff(c_207068,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207053,c_192289]) ).
tff(c_207069,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_207011,c_406,c_207068]) ).
tff(c_207076,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_207069,c_316]) ).
tff(c_207095,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_207076,c_207015,c_199246]) ).
tff(c_207121,plain,
op(e2,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_207095,c_180]) ).
tff(c_207164,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_207162,c_207121]) ).
tff(c_207173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207054,c_207164]) ).
tff(c_207174,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_206650]) ).
tff(c_207628,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_207174]) ).
tff(c_207630,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_207628,c_207628,c_207205]) ).
tff(c_207641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_207630]) ).
tff(c_207642,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_207174]) ).
tff(c_207649,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_207642,c_248]) ).
tff(c_206659,plain,
op(e3,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_206653,c_322]) ).
tff(c_206655,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_206653,c_210]) ).
tff(c_206670,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_206655,c_175935]) ).
tff(c_206671,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_206670]) ).
tff(c_206673,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206671,c_230]) ).
tff(c_206678,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206671,c_232]) ).
tff(c_206686,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_206678,c_206329]) ).
tff(c_206687,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_206686]) ).
tff(c_206691,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206687,c_272]) ).
tff(c_206810,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206687,c_204012]) ).
tff(c_206811,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_206691,c_412,c_206810]) ).
tff(c_206672,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_206671,c_168]) ).
tff(c_206812,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_206811,c_206672]) ).
tff(c_206822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206673,c_206812]) ).
tff(c_206823,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_206686]) ).
tff(c_206828,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206823,c_346]) ).
tff(c_206837,plain,
op(e3,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_206673,c_206828,c_192289]) ).
tff(c_206889,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_206837,c_206653,c_162]) ).
tff(c_206890,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_206889,c_206889,c_152]) ).
tff(c_206899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206659,c_206890]) ).
tff(c_206900,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_206670]) ).
tff(c_207762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207357,c_207649,c_206900]) ).
tff(c_207763,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_186852]) ).
tff(c_208194,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_207867,c_208187,c_207763]) ).
tff(c_208198,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208194,c_330]) ).
tff(c_208212,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207865,c_204012]) ).
tff(c_208213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207869,c_412,c_208198,c_208212]) ).
tff(c_208214,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_206329]) ).
tff(c_208688,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_208214]) ).
tff(c_208695,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208688,c_226]) ).
tff(c_208249,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_192289]) ).
tff(c_208259,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_208249,c_316]) ).
tff(c_208276,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_202157]) ).
tff(c_208397,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208276,c_238]) ).
tff(c_208277,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_208259,c_199246]) ).
tff(c_208278,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_208277]) ).
tff(c_208301,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208278,c_336]) ).
tff(c_208280,plain,
op(op(e0,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_208276,c_170]) ).
tff(c_208386,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_208278,c_208280]) ).
tff(c_208387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208301,c_208386]) ).
tff(c_208388,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_208277]) ).
tff(c_208462,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208388,c_358]) ).
tff(c_208511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208397,c_208462,c_208214]) ).
tff(c_208512,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_202157]) ).
tff(c_208521,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208512,c_256]) ).
tff(c_208528,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208521,c_207763]) ).
tff(c_208529,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_208528]) ).
tff(c_208537,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_208529,c_270]) ).
tff(c_208556,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208529,c_204012]) ).
tff(c_208557,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_208537,c_410,c_208556]) ).
tff(c_208564,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208557,c_360]) ).
tff(c_208627,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_208259,c_208564,c_199246]) ).
tff(c_208517,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208512,c_258]) ).
tff(c_208599,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208517,c_203052]) ).
tff(c_208600,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_208599]) ).
tff(c_208558,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_208557,c_178]) ).
tff(c_208602,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_208600,c_208600,c_208558]) ).
tff(c_208612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_208602]) ).
tff(c_208613,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_208599]) ).
tff(c_208621,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208613,c_338]) ).
tff(c_208643,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_208627,c_208621]) ).
tff(c_208644,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_208528]) ).
tff(c_208652,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208644,c_226]) ).
tff(c_208681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208652,c_208517,c_208214]) ).
tff(c_208682,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_192289]) ).
tff(c_208792,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208688,c_208682]) ).
tff(c_208793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_208695,c_208792]) ).
tff(c_208794,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_208214]) ).
tff(c_208803,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208794,c_358]) ).
tff(c_208809,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_208803,c_199246]) ).
tff(c_208810,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_208809]) ).
tff(c_208224,plain,
op(op(e0,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_160]) ).
tff(c_208811,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_208810,c_208224]) ).
tff(c_208822,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_164530,c_208811]) ).
tff(c_208824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_208822]) ).
tff(c_208825,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_208809]) ).
tff(c_208837,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208825,c_336]) ).
tff(c_208797,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208794,c_258]) ).
tff(c_208851,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_208797,c_202157]) ).
tff(c_208827,plain,
op(e3,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_208825,c_170]) ).
tff(c_208853,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_208851,c_208827]) ).
tff(c_208863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208837,c_208853]) ).
tff(c_208864,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_422338,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_208864]) ).
tff(c_422760,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_422338,c_214]) ).
tff(c_422761,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_422338,c_208]) ).
tff(c_422339,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_422338,c_304]) ).
tff(c_422764,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_422338,c_202]) ).
tff(c_422650,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_422338,c_208]) ).
tff(c_422340,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_422338,c_302]) ).
tff(c_247405,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_238895,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_239755,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_238895,c_214]) ).
tff(c_233164,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_434]) ).
tff(c_233156,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_233230,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_233164,c_233156,c_396]) ).
tff(c_233232,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_233233,plain,
( ( op(e4,e0) = e4 )
| ( e3 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_444]) ).
tff(c_233234,plain,
( ( op(e4,e0) = e4 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_233232,c_416,c_233233]) ).
tff(c_233235,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_233234]) ).
tff(c_236950,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_274]) ).
tff(c_234995,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_276]) ).
tff(c_234297,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_234300,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_234297,c_314]) ).
tff(c_234439,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_278]) ).
tff(c_234299,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_234297,c_308]) ).
tff(c_234296,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_280]) ).
tff(c_234325,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_234299,c_234296,c_85116]) ).
tff(c_234326,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_234325]) ).
tff(c_234328,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_234326,c_340]) ).
tff(c_233231,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_234550,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_234300,c_234328,c_233231]) ).
tff(c_234551,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_234550]) ).
tff(c_234552,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_234551,c_358]) ).
tff(c_234338,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_234436,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234297,c_234338,c_204]) ).
tff(c_234437,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_234572,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_234439,c_234552,c_234437]) ).
tff(c_234579,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_234572,c_232]) ).
tff(c_234329,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_234326,c_332]) ).
tff(c_234306,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_234322,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234306,c_234297,c_304]) ).
tff(c_234323,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_234589,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_234552,c_234329,c_234323]) ).
tff(c_208866,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_228495,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_228507,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_228495,c_202]) ).
tff(c_228499,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_228495,c_214]) ).
tff(c_228498,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_228495,c_302]) ).
tff(c_213304,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_213295,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_213336,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_213304,c_213295,c_204]) ).
tff(c_213337,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_213740,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_213337]) ).
tff(c_213745,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_213740,c_262]) ).
tff(c_213338,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_213340,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213295,c_208864]) ).
tff(c_213341,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_213338,c_404,c_213340]) ).
tff(c_213342,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_213341]) ).
tff(c_208912,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_208980,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_208912,c_208866,c_290]) ).
tff(c_208981,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_213350,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213342,c_208981]) ).
tff(c_213351,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_213350]) ).
tff(c_213352,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_213351]) ).
tff(c_213367,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_213352,c_213342,c_322]) ).
tff(c_213369,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_213351]) ).
tff(c_213371,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_213342,c_328]) ).
tff(c_208873,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_212899,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_213227,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_212899,c_320]) ).
tff(c_208885,plain,
( ( op(e4,e0) = e4 )
| ( e3 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208873,c_444]) ).
tff(c_208886,plain,
( ( op(e4,e0) = e4 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_208885]) ).
tff(c_208887,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_208886]) ).
tff(c_208908,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_208887,c_208866,c_300]) ).
tff(c_208910,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_208886]) ).
tff(c_208984,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208866,c_434]) ).
tff(c_208985,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_208910,c_420,c_208984]) ).
tff(c_208986,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_208985]) ).
tff(c_210368,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208986,c_354]) ).
tff(c_209004,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_208864]) ).
tff(c_209006,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_209004,c_308]) ).
tff(c_209003,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208986,c_360]) ).
tff(c_209005,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_209004,c_304]) ).
tff(c_209002,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208986,c_358]) ).
tff(c_209014,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_209005,c_209002,c_164528]) ).
tff(c_209015,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_209014]) ).
tff(c_209019,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_209015,c_332]) ).
tff(c_209024,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_209006,c_209019,c_209003,c_85116]) ).
tff(c_209026,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_209024,c_270]) ).
tff(c_209057,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_209015,c_208981]) ).
tff(c_209058,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_209026,c_209057]) ).
tff(c_209059,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_209058]) ).
tff(c_209072,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_209059,c_209004,c_202]) ).
tff(c_209073,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_209058]) ).
tff(c_209088,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_209073,c_209015,c_326]) ).
tff(c_209089,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_209014]) ).
tff(c_209096,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_209089,c_372]) ).
tff(c_209146,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_209006,c_209003,c_209096,c_85116]) ).
tff(c_209185,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_209146,c_330]) ).
tff(c_209158,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_209146,c_208981]) ).
tff(c_209159,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_209158]) ).
tff(c_209160,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_209159]) ).
tff(c_209179,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_209160,c_209004,c_202]) ).
tff(c_209180,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_209159]) ).
tff(c_209347,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_209185,c_209180]) ).
tff(c_209157,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_209004,c_214]) ).
tff(c_209102,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_209002,c_130109]) ).
tff(c_209103,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_209102]) ).
tff(c_209140,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_209103,c_209004,c_204]) ).
tff(c_209141,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_209102]) ).
tff(c_209191,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_209141]) ).
tff(c_209198,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_209191,c_278]) ).
tff(c_208909,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_208886]) ).
tff(c_209220,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_209157,c_209198,c_208909]) ).
tff(c_209223,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_209220,c_256]) ).
tff(c_209256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_209223,c_209185,c_209180]) ).
tff(c_209257,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_209141]) ).
tff(c_209338,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_209257,c_166]) ).
tff(c_209348,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_209347,c_209347,c_209338]) ).
tff(c_209359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_209348]) ).
tff(c_209360,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_212397,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_210368,c_209360]) ).
tff(c_212398,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_212397]) ).
tff(c_212403,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_212398,c_368]) ).
tff(c_212405,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_212398,c_364]) ).
tff(c_209361,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_209364,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_209002,c_164528]) ).
tff(c_209365,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_209364]) ).
tff(c_209389,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_209365,c_50475]) ).
tff(c_209390,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_209361,c_404,c_209389]) ).
tff(c_209391,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_209390]) ).
tff(c_209620,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_209391,c_302]) ).
tff(c_50476,plain,
op(e0,e4) != e0,
inference(splitRight,[status(thm)],[c_436]) ).
tff(c_209532,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208986,c_298]) ).
tff(c_209397,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_209391,c_222]) ).
tff(c_209372,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_209365,c_312]) ).
tff(c_209378,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_209372,c_209003,c_85116]) ).
tff(c_209379,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_209378]) ).
tff(c_209509,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_209379,c_208981]) ).
tff(c_209510,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_209397,c_410,c_209509]) ).
tff(c_209511,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_209510]) ).
tff(c_209513,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_209511,c_216]) ).
tff(c_209368,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_209365,c_244]) ).
tff(c_209395,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_209391,c_224]) ).
tff(c_209404,plain,
( ( op(e1,e2) = e1 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_209395,c_209002,c_130109]) ).
tff(c_209405,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_209404]) ).
tff(c_209496,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_209405,c_209365,c_172]) ).
tff(c_209497,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_209496,c_209496,c_152]) ).
tff(c_209506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_209368,c_209497]) ).
tff(c_209507,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_209404]) ).
tff(c_209523,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_209507,c_278]) ).
tff(c_209565,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_209513,c_209523,c_208909]) ).
tff(c_209586,plain,
op(e2,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_209565,c_208986,c_196]) ).
tff(c_209587,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_209586,c_209586,c_176]) ).
tff(c_209596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_209532,c_209587]) ).
tff(c_209598,plain,
op(e4,e3) != e4,
inference(splitRight,[status(thm)],[c_209510]) ).
tff(c_209597,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_209510]) ).
tff(c_72,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_209779,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_209379,c_209597,c_72]) ).
tff(c_209780,plain,
( ( op(e3,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_209598,c_209779]) ).
tff(c_209781,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_209780]) ).
tff(c_209709,plain,
op(e0,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_208873,c_194]) ).
tff(c_209783,plain,
op(e0,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_209781,c_209709]) ).
tff(c_209792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50476,c_209783]) ).
tff(c_209793,plain,
op(e3,e3) = e4,
inference(splitRight,[status(thm)],[c_209780]) ).
tff(c_209795,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_209793,c_209793,c_164]) ).
tff(c_209804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_209620,c_209795]) ).
tff(c_209805,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_209390]) ).
tff(c_209810,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_209805,c_268]) ).
tff(c_210074,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208986,c_354]) ).
tff(c_210079,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_209379,c_328]) ).
tff(c_210081,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_210074,c_210079,c_209360]) ).
tff(c_210184,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_210081,c_209805,c_182]) ).
tff(c_210185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_209810,c_210184]) ).
tff(c_210186,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_209378]) ).
tff(c_210332,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_210186,c_272]) ).
tff(c_210193,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_210186,c_268]) ).
tff(c_210283,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_209365,c_50475]) ).
tff(c_210284,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_209361,c_404,c_210193,c_210283]) ).
tff(c_210288,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_210284,c_224]) ).
tff(c_210199,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_209002,c_130109]) ).
tff(c_210200,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_210199]) ).
tff(c_210204,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_210200,c_218]) ).
tff(c_210209,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_209365,c_50475]) ).
tff(c_210210,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_209361,c_404,c_210209]) ).
tff(c_210211,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_210210]) ).
tff(c_210217,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_210211,c_222]) ).
tff(c_210188,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_210186,c_270]) ).
tff(c_210223,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_210217,c_210188,c_208981]) ).
tff(c_210224,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_210223]) ).
tff(c_210241,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_210224,c_210200,c_206]) ).
tff(c_210242,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_210223]) ).
tff(c_210254,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_210242,c_256]) ).
tff(c_210190,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_210186,c_280]) ).
tff(c_210277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_210204,c_210254,c_210190,c_208909]) ).
tff(c_210278,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_210210]) ).
tff(c_210280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_210193,c_210278]) ).
tff(c_210281,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_210199]) ).
tff(c_210365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_210332,c_210288,c_210281]) ).
tff(c_210366,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_209364]) ).
tff(c_212478,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_212405,c_210366]) ).
tff(c_212487,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_212478,c_332]) ).
tff(c_211104,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208986,c_298]) ).
tff(c_211251,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_210366]) ).
tff(c_210370,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_209003,c_85116]) ).
tff(c_210371,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_210370]) ).
tff(c_210383,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210371,c_50475]) ).
tff(c_210384,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_209361,c_408,c_210383]) ).
tff(c_210385,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_210384]) ).
tff(c_210390,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_210385,c_222]) ).
tff(c_210722,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_210368,c_209360]) ).
tff(c_210723,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_210722]) ).
tff(c_210728,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_210723,c_364]) ).
tff(c_210411,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_210385,c_302]) ).
tff(c_210389,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_210385,c_224]) ).
tff(c_210398,plain,
( ( op(e1,e2) = e1 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_210389,c_209002,c_130109]) ).
tff(c_210399,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_210398]) ).
tff(c_210505,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210399,c_209360]) ).
tff(c_210506,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_210505]) ).
tff(c_210507,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_210506]) ).
tff(c_210562,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_210507,c_210507,c_210371,c_158]) ).
tff(c_210563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_210562]) ).
tff(c_210564,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_210506]) ).
tff(c_210631,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_210564,c_210385,c_154]) ).
tff(c_210632,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_210631,c_210631,c_164]) ).
tff(c_210641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_210411,c_210632]) ).
tff(c_210642,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_210398]) ).
tff(c_210651,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_210642,c_266]) ).
tff(c_210656,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_210390,c_210651,c_208981]) ).
tff(c_210657,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_210656]) ).
tff(c_210673,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210657,c_209360]) ).
tff(c_210674,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_210368,c_402,c_210673]) ).
tff(c_210703,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_210674,c_210674,c_210371,c_158]) ).
tff(c_210704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_210703]) ).
tff(c_210705,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_210656]) ).
tff(c_210741,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210705,c_210366]) ).
tff(c_210742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_210728,c_406,c_210741]) ).
tff(c_210743,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_210722]) ).
tff(c_210816,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_210743,c_210385,c_162]) ).
tff(c_210817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_210390,c_210816]) ).
tff(c_210818,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_210384]) ).
tff(c_211426,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_211251,c_210818,c_110]) ).
tff(c_211427,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_420,c_418,c_211426]) ).
tff(c_211428,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_211427]) ).
tff(c_211429,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_211428,c_211428,c_176]) ).
tff(c_211438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_211104,c_211429]) ).
tff(c_211439,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_211427]) ).
tff(c_211107,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_210368,c_209360]) ).
tff(c_211108,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_211107]) ).
tff(c_211113,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_211108,c_364]) ).
tff(c_211121,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_211113,c_210366]) ).
tff(c_211128,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_211121,c_246]) ).
tff(c_210832,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_209002,c_130109]) ).
tff(c_210833,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_210832]) ).
tff(c_210990,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_210833,c_210818,c_210833,c_172]) ).
tff(c_210991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_210990]) ).
tff(c_210992,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_210832]) ).
tff(c_211138,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_210992]) ).
tff(c_211146,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_211138,c_266]) ).
tff(c_211123,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_211121,c_326]) ).
tff(c_210824,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_210818,c_242]) ).
tff(c_210994,plain,
( ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_210824,c_208981]) ).
tff(c_210995,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_210994]) ).
tff(c_211023,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210995,c_209360]) ).
tff(c_211024,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_210368,c_402,c_211023]) ).
tff(c_211100,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_211024,c_211024,c_210371,c_158]) ).
tff(c_211101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_211100]) ).
tff(c_211102,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_210994]) ).
tff(c_211169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_211146,c_211123,c_211102]) ).
tff(c_211170,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_210992]) ).
tff(c_211228,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_211170,c_211121,c_174]) ).
tff(c_211230,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_211228,c_211228,c_164]) ).
tff(c_211238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_211128,c_211230]) ).
tff(c_211239,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_211107]) ).
tff(c_211241,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_211239,c_322]) ).
tff(c_211264,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_211241,c_211102]) ).
tff(c_211270,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_211264,c_266]) ).
tff(c_211280,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_211270,c_210992]) ).
tff(c_211354,plain,
op(e3,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_211280,c_174]) ).
tff(c_211441,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_211439,c_211354]) ).
tff(c_211450,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_208873,c_211441]) ).
tff(c_211452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_211450]) ).
tff(c_211453,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_210366]) ).
tff(c_211522,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_211453,c_211239,c_324]) ).
tff(c_211523,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_210370]) ).
tff(c_212500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212403,c_212487,c_211523]) ).
tff(c_212501,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_212397]) ).
tff(c_212508,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_212501,c_324]) ).
tff(c_212583,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_212508,c_210366]) ).
tff(c_212591,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_212583,c_372]) ).
tff(c_212505,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_212501,c_328]) ).
tff(c_212614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_212591,c_212505,c_211523]) ).
tff(c_212615,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_208985]) ).
tff(c_213278,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_213227,c_212615]) ).
tff(c_213269,plain,
op(op(e0,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_208873,c_170]) ).
tff(c_213279,plain,
op(e3,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_213278,c_213269]) ).
tff(c_213288,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_208873,c_213279]) ).
tff(c_213290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_213288]) ).
tff(c_213291,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_213510,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_213371,c_213291]) ).
tff(c_213511,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_213510]) ).
tff(c_213517,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_213511,c_372]) ).
tff(c_213349,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_213342,c_324]) ).
tff(c_212625,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_212633,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_212625,c_318]) ).
tff(c_212811,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_212633,c_212615]) ).
tff(c_212895,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_212811,c_208873,c_212811,c_194]) ).
tff(c_212896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_212895]) ).
tff(c_212897,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_213529,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_213517,c_213349,c_212897]) ).
tff(c_213537,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_213529,c_244]) ).
tff(c_213399,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_213337]) ).
tff(c_213405,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_213399,c_268]) ).
tff(c_213413,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_213405,c_213371,c_213291]) ).
tff(c_213417,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_213413,c_352]) ).
tff(c_213444,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_213417,c_213349,c_212897]) ).
tff(c_213489,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_213413,c_213444,c_213413,c_186]) ).
tff(c_213490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_213489]) ).
tff(c_213491,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_213337]) ).
tff(c_213598,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_213537,c_213491]) ).
tff(c_213551,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_213342,c_162]) ).
tff(c_213600,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_213598,c_213551]) ).
tff(c_213610,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_213369,c_213600]) ).
tff(c_213611,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_213510]) ).
tff(c_213616,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_213611,c_352]) ).
tff(c_213630,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_213616,c_213349,c_212897]) ).
tff(c_213679,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_213611,c_213630,c_213611,c_186]) ).
tff(c_213680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_213679]) ).
tff(c_213681,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_213341]) ).
tff(c_213684,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_213681,c_364]) ).
tff(c_213766,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_213684,c_212897]) ).
tff(c_213767,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_213766]) ).
tff(c_213772,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_213767,c_352]) ).
tff(c_213776,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_213767,c_246]) ).
tff(c_213692,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_208981]) ).
tff(c_213706,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_213692,c_213295,c_206]) ).
tff(c_213707,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_208981]) ).
tff(c_213781,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_213745,c_213776,c_213707]) ).
tff(c_213785,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_213781,c_330]) ).
tff(c_213723,plain,
op(op(e1,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_213681,c_158]) ).
tff(c_213741,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_213740,c_213723]) ).
tff(c_213803,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213741,c_213291]) ).
tff(c_213804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_213772,c_213785,c_213803]) ).
tff(c_213805,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_213766]) ).
tff(c_213820,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213805,c_213707]) ).
tff(c_213821,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_213745,c_406,c_213820]) ).
tff(c_213808,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_213805,c_326]) ).
tff(c_213835,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_213821,c_213808]) ).
tff(c_213836,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_213337]) ).
tff(c_214070,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_213836]) ).
tff(c_214073,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_214070,c_302]) ).
tff(c_213683,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_213681,c_368]) ).
tff(c_213863,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_213684,c_212897]) ).
tff(c_213864,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_213863]) ).
tff(c_213869,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_213864,c_352]) ).
tff(c_213873,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_213864,c_246]) ).
tff(c_213886,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_213873,c_213707]) ).
tff(c_213887,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_213886]) ).
tff(c_213915,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213887,c_213291]) ).
tff(c_213916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_213683,c_213869,c_410,c_213915]) ).
tff(c_213917,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_213886]) ).
tff(c_213922,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_213917,c_330]) ).
tff(c_213937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_213683,c_213869,c_213922,c_213291]) ).
tff(c_213938,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_213863]) ).
tff(c_213945,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_213938,c_338]) ).
tff(c_214027,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_213945,c_212615]) ).
tff(c_214030,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_214027,c_282]) ).
tff(c_213708,plain,
op(e4,e3) != e4,
inference(splitRight,[status(thm)],[c_208981]) ).
tff(c_213942,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_213938,c_326]) ).
tff(c_213954,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213938,c_213707]) ).
tff(c_213955,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_213942,c_213954]) ).
tff(c_214142,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_213955,c_213938,c_72]) ).
tff(c_214143,plain,
op(e3,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_214030,c_408,c_402,c_213708,c_214142]) ).
tff(c_214146,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_214143,c_214143,c_164]) ).
tff(c_214153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_214073,c_214146]) ).
tff(c_214154,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_213836]) ).
tff(c_214055,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_213295,c_156]) ).
tff(c_214156,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_214154,c_214154,c_214055]) ).
tff(c_214166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_214156]) ).
tff(c_214167,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_216761,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_214167]) ).
tff(c_216768,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_216761,c_272]) ).
tff(c_216784,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_216761,c_213291]) ).
tff(c_216785,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_216768,c_412,c_216784]) ).
tff(c_216790,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_216785,c_330]) ).
tff(c_216795,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_216785,c_332]) ).
tff(c_216813,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_216795,c_212897]) ).
tff(c_216814,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_216813]) ).
tff(c_216779,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_216761,c_186]) ).
tff(c_216815,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_216814,c_216779]) ).
tff(c_216826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_216768,c_216815]) ).
tff(c_216827,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_216813]) ).
tff(c_216836,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_216827,c_246]) ).
tff(c_215358,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_212897]) ).
tff(c_215363,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_215358,c_364]) ).
tff(c_214169,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_214172,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_214169,c_314]) ).
tff(c_214414,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_214172,c_212615]) ).
tff(c_214493,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_214414,c_214414,c_208873,c_194]) ).
tff(c_214494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_214493]) ).
tff(c_214496,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_214497,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_214496,c_208864]) ).
tff(c_214498,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_214497]) ).
tff(c_214521,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_214498,c_202]) ).
tff(c_214505,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_214498,c_322]) ).
tff(c_214506,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_214498,c_208981]) ).
tff(c_214507,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_214505,c_214506]) ).
tff(c_214508,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_214507]) ).
tff(c_214511,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_214508,c_242]) ).
tff(c_214495,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_214560,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_214511,c_214495]) ).
tff(c_214561,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_214560]) ).
tff(c_214564,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_214561,c_264]) ).
tff(c_214513,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_214508,c_246]) ).
tff(c_214576,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_214564,c_214513,c_214167]) ).
tff(c_214530,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_214508,c_166]) ).
tff(c_214577,plain,
op(e2,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_214576,c_214530]) ).
tff(c_214586,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_214508,c_214577]) ).
tff(c_214588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_214586]) ).
tff(c_214589,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_214560]) ).
tff(c_214603,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_214589,c_214498,c_154]) ).
tff(c_214604,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_214603,c_214603,c_164]) ).
tff(c_214613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_214521,c_214604]) ).
tff(c_214614,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_214507]) ).
tff(c_214616,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_214614,c_262]) ).
tff(c_214617,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_214614,c_270]) ).
tff(c_214655,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_214614,c_213291]) ).
tff(c_214656,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_214617,c_410,c_214655]) ).
tff(c_214660,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_214656,c_352]) ).
tff(c_214682,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_214656,c_214167]) ).
tff(c_214683,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_214660,c_214682]) ).
tff(c_214691,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_214683,c_224]) ).
tff(c_214718,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_214616,c_214691,c_214495]) ).
tff(c_214721,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_214718,c_254]) ).
tff(c_214618,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_214614,c_276]) ).
tff(c_214793,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_214721,c_214618,c_208909]) ).
tff(c_214499,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_214498,c_334]) ).
tff(c_214755,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_214499,c_212615]) ).
tff(c_214778,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_214755,c_160]) ).
tff(c_214795,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_214793,c_214778]) ).
tff(c_214805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_214496,c_214795]) ).
tff(c_214806,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_214497]) ).
tff(c_215581,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_215363,c_214806]) ).
tff(c_215589,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_215581,c_344]) ).
tff(c_214835,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_214495]) ).
tff(c_214842,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_214835,c_268]) ).
tff(c_214838,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_214835,c_264]) ).
tff(c_214850,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_214838,c_214167]) ).
tff(c_214851,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_214850]) ).
tff(c_214860,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_214851,c_344]) ).
tff(c_214978,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_214860,c_214806]) ).
tff(c_214955,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_214835,c_182]) ).
tff(c_214979,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_214978,c_214955]) ).
tff(c_214990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_214842,c_214979]) ).
tff(c_214991,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_214850]) ).
tff(c_214995,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_214991,c_346]) ).
tff(c_214992,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_214850]) ).
tff(c_215035,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_214992,c_212897]) ).
tff(c_215036,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_215035]) ).
tff(c_215041,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_215036,c_364]) ).
tff(c_215005,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_214842,c_213291]) ).
tff(c_215006,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_215005]) ).
tff(c_215013,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_215006,c_348]) ).
tff(c_215099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_215041,c_215013,c_214806]) ).
tff(c_215100,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_215035]) ).
tff(c_215114,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_215100,c_214991,c_174]) ).
tff(c_215115,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_215114,c_215114,c_164]) ).
tff(c_215124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_214995,c_215115]) ).
tff(c_215125,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_215005]) ).
tff(c_215135,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_215125,c_332]) ).
tff(c_215140,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_214992,c_212897]) ).
tff(c_215141,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_215140]) ).
tff(c_215146,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_215141,c_364]) ).
tff(c_215154,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_215146,c_214806]) ).
tff(c_215156,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_215154,c_204]) ).
tff(c_214808,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_208981]) ).
tff(c_214812,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_214808,c_216]) ).
tff(c_214840,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_214835,c_274]) ).
tff(c_215221,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_214812,c_214840,c_208909]) ).
tff(c_215226,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_215221,c_398]) ).
tff(c_215143,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_215141,c_252]) ).
tff(c_215311,plain,
( ( op(e2,e2) = e4 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_215143,c_214992,c_214995,c_26]) ).
tff(c_215312,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_215311]) ).
tff(c_215316,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_215312,c_215312,c_176]) ).
tff(c_215322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_215226,c_215316]) ).
tff(c_215323,plain,
op(e2,e2) = e4,
inference(splitRight,[status(thm)],[c_215311]) ).
tff(c_215329,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_215323,c_215323,c_176]) ).
tff(c_215335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_215156,c_215329]) ).
tff(c_215336,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_215140]) ).
tff(c_215351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_215135,c_215336]) ).
tff(c_215352,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_214495]) ).
tff(c_215612,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_215352]) ).
tff(c_215535,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_214808,c_154]) ).
tff(c_215615,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_215612,c_215612,c_215535]) ).
tff(c_215624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_215615]) ).
tff(c_215625,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_215352]) ).
tff(c_215582,plain,
op(e2,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_215581,c_172]) ).
tff(c_215627,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_215625,c_215582]) ).
tff(c_215637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_215589,c_215627]) ).
tff(c_215638,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_212897]) ).
tff(c_216090,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_215638]) ).
tff(c_216093,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_216090,c_326]) ).
tff(c_216100,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_216090,c_332]) ).
tff(c_215662,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_213291]) ).
tff(c_215666,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_215662,c_368]) ).
tff(c_215667,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_215662,c_272]) ).
tff(c_215688,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_215667,c_214167]) ).
tff(c_215689,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_215688]) ).
tff(c_215698,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_215689,c_344]) ).
tff(c_215707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_215666,c_215698,c_214806]) ).
tff(c_215708,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_215688]) ).
tff(c_215714,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_215708,c_226]) ).
tff(c_215709,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_215688]) ).
tff(c_215795,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_215709,c_215638]) ).
tff(c_215786,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_215708,c_166]) ).
tff(c_215796,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_215795,c_215786]) ).
tff(c_215807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_215714,c_215796]) ).
tff(c_215808,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_213291]) ).
tff(c_216105,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_216100,c_215808]) ).
tff(c_216111,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_216105,c_352]) ).
tff(c_215845,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_214167]) ).
tff(c_215939,plain,
( ( e2 = e1 )
| ( op(e1,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_215845,c_215808]) ).
tff(c_215940,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_215939]) ).
tff(c_215950,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_215940,c_332]) ).
tff(c_216006,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_215950,c_215638]) ).
tff(c_215963,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_215352]) ).
tff(c_215840,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_214808,c_154]) ).
tff(c_215979,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_215963,c_215963,c_215840]) ).
tff(c_215989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_215979]) ).
tff(c_215990,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_215352]) ).
tff(c_215998,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_215990,c_244]) ).
tff(c_216020,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_216006,c_215998]) ).
tff(c_216021,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_214167]) ).
tff(c_216158,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_216111,c_216021]) ).
tff(c_216091,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_216090,c_166]) ).
tff(c_216159,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_216158,c_216091]) ).
tff(c_216170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_216093,c_216159]) ).
tff(c_216171,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_215638]) ).
tff(c_216179,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_216171,c_244]) ).
tff(c_216201,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_216179,c_215352]) ).
tff(c_216203,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_216201,c_216201,c_215840]) ).
tff(c_216213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_216203]) ).
tff(c_216214,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_208981]) ).
tff(c_216241,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_216214]) ).
tff(c_216250,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_216241,c_266]) ).
tff(c_216246,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_216241,c_262]) ).
tff(c_216256,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_216246,c_214495]) ).
tff(c_216257,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_216256]) ).
tff(c_216262,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_216257,c_244]) ).
tff(c_216271,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_216250,c_216262,c_214167]) ).
tff(c_216276,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_216271,c_226]) ).
tff(c_216334,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_216262,c_212897]) ).
tff(c_216335,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_216334]) ).
tff(c_216247,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_216241,c_270]) ).
tff(c_216293,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_216241,c_213291]) ).
tff(c_216294,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_216247,c_410,c_216293]) ).
tff(c_216325,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_216294,c_178]) ).
tff(c_216336,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_216335,c_216335,c_216325]) ).
tff(c_216346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_216336]) ).
tff(c_216347,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_216334]) ).
tff(c_216272,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_216271,c_166]) ).
tff(c_216350,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_216347,c_216272]) ).
tff(c_216360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_216276,c_216350]) ).
tff(c_216361,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_216256]) ).
tff(c_216366,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_216361,c_224]) ).
tff(c_216375,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_216250,c_214167]) ).
tff(c_216376,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_216375]) ).
tff(c_216380,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_216376,c_352]) ).
tff(c_216390,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_216241,c_213291]) ).
tff(c_216391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_216247,c_216380,c_410,c_216390]) ).
tff(c_216392,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_216375]) ).
tff(c_216394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_216366,c_216392]) ).
tff(c_216395,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_216214]) ).
tff(c_216842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_216790,c_216836,c_216395]) ).
tff(c_216843,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_214167]) ).
tff(c_216875,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_216843]) ).
tff(c_216959,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_216875,c_226]) ).
tff(c_217108,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_216959,c_216395]) ).
tff(c_216955,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_216875,c_166]) ).
tff(c_217109,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_217108,c_217108,c_216955]) ).
tff(c_217119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_217109]) ).
tff(c_217120,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_216843]) ).
tff(c_217129,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217120,c_246]) ).
tff(c_217189,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_217129,c_216395]) ).
tff(c_217128,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217120,c_244]) ).
tff(c_216413,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_214495]) ).
tff(c_216422,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_216413,c_308]) ).
tff(c_216416,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_216413,c_264]) ).
tff(c_216432,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_216416,c_214167]) ).
tff(c_216433,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_216432]) ).
tff(c_216442,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_216433,c_344]) ).
tff(c_216520,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_216442,c_214806]) ).
tff(c_216414,plain,
op(e1,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_216413,c_158]) ).
tff(c_216521,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_216520,c_216414]) ).
tff(c_216536,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_216521,c_216521,c_188]) ).
tff(c_216543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_216422,c_216536]) ).
tff(c_216544,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_216432]) ).
tff(c_216550,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_216544,c_226]) ).
tff(c_216712,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_216550,c_216395]) ).
tff(c_216546,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_216544,c_166]) ).
tff(c_216714,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_216712,c_216712,c_216546]) ).
tff(c_216724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_216714]) ).
tff(c_216725,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_214495]) ).
tff(c_217159,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_217128,c_216725]) ).
tff(c_217168,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_217159,c_222]) ).
tff(c_217203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_217189,c_217168]) ).
tff(c_217204,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_228537,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_228498,c_217204]) ).
tff(c_228538,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_228537]) ).
tff(c_228543,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_228538,c_236]) ).
tff(c_217208,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_444]) ).
tff(c_217279,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_217208,c_208866,c_300]) ).
tff(c_217280,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_444]) ).
tff(c_228551,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_228499,c_228543,c_217280]) ).
tff(c_228552,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_228551]) ).
tff(c_228560,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_228552,c_258]) ).
tff(c_228542,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_228538,c_226]) ).
tff(c_222675,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_224831,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222675,c_206]) ).
tff(c_217283,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_208866,c_290]) ).
tff(c_220411,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_217283,c_438]) ).
tff(c_220412,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_220411]) ).
tff(c_220426,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_220412,c_270]) ).
tff(c_221528,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_220412,c_85116]) ).
tff(c_221529,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_220426,c_221528]) ).
tff(c_221530,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_221529]) ).
tff(c_221542,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_221530,c_320]) ).
tff(c_221543,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_220412,c_330]) ).
tff(c_221536,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_221530,c_308]) ).
tff(c_221544,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_221530,c_50475]) ).
tff(c_221545,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_221536,c_408,c_221544]) ).
tff(c_221546,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_221545]) ).
tff(c_221550,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_221546,c_222]) ).
tff(c_221692,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_221546,c_217204]) ).
tff(c_221693,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_221550,c_221692]) ).
tff(c_221694,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_221693]) ).
tff(c_221700,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_221694,c_346]) ).
tff(c_221409,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_221414,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_221409,c_304]) ).
tff(c_220427,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_220412,c_262]) ).
tff(c_221436,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_221409,c_50475]) ).
tff(c_221437,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_221414,c_404,c_220427,c_221436]) ).
tff(c_221442,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_221437,c_222]) ).
tff(c_221416,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_221409,c_312]) ).
tff(c_221422,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_220412,c_85116]) ).
tff(c_221423,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_221416,c_410,c_220426,c_221422]) ).
tff(c_221425,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_221423,c_350]) ).
tff(c_221417,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_221409,c_318]) ).
tff(c_221435,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_221423,c_348]) ).
tff(c_221449,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_221414,c_221435,c_208864]) ).
tff(c_221450,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_221449]) ).
tff(c_221451,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_221450,c_334]) ).
tff(c_218730,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_218799,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_218730,c_302]) ).
tff(c_217281,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_444]) ).
tff(c_217284,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208866,c_434]) ).
tff(c_217285,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_217281,c_420,c_217284]) ).
tff(c_217286,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_217285]) ).
tff(c_217690,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217286,c_356]) ).
tff(c_218898,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_218799,c_217690,c_217204]) ).
tff(c_218899,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_218898]) ).
tff(c_218913,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_218899,c_326]) ).
tff(c_217694,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217286,c_358]) ).
tff(c_217697,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_217694,c_164528]) ).
tff(c_217698,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_217697]) ).
tff(c_217703,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_217698,c_306]) ).
tff(c_217702,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_217698,c_304]) ).
tff(c_217695,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217286,c_354]) ).
tff(c_218105,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_217702,c_217695,c_208864]) ).
tff(c_218106,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_218105]) ).
tff(c_217686,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217286,c_360]) ).
tff(c_217710,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217698,c_50475]) ).
tff(c_217711,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_217702,c_404,c_217710]) ).
tff(c_217712,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_217711]) ).
tff(c_217717,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_217712,c_222]) ).
tff(c_217704,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_217698,c_312]) ).
tff(c_217791,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217712,c_217204]) ).
tff(c_217792,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_402,c_217717,c_217690,c_217791]) ).
tff(c_217747,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_217704,c_217686,c_85116]) ).
tff(c_217748,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_217747]) ).
tff(c_217715,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_217712,c_224]) ).
tff(c_217724,plain,
( ( op(e1,e2) = e1 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_217715,c_217694,c_130109]) ).
tff(c_217725,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_217724]) ).
tff(c_217736,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217725,c_208864]) ).
tff(c_217737,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_217702,c_404,c_217736]) ).
tff(c_217738,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_217737]) ).
tff(c_217762,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_217748,c_217738,c_328]) ).
tff(c_217763,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_217747]) ).
tff(c_217786,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217763,c_370]) ).
tff(c_217805,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_217792,c_217786]) ).
tff(c_217806,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_217737]) ).
tff(c_217808,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217806,c_362]) ).
tff(c_217832,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217712,c_217204]) ).
tff(c_217833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_217717,c_217690,c_217808,c_217832]) ).
tff(c_217834,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_217724]) ).
tff(c_217847,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217834,c_272]) ).
tff(c_217858,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217834,c_85116]) ).
tff(c_217859,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_217704,c_412,c_217847,c_217858]) ).
tff(c_217848,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_217702,c_217695,c_208864]) ).
tff(c_217849,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_217848]) ).
tff(c_217904,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_217859,c_217849,c_328]) ).
tff(c_217905,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_217848]) ).
tff(c_217907,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217905,c_362]) ).
tff(c_217943,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217712,c_217204]) ).
tff(c_217944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_217717,c_217690,c_217907,c_217943]) ).
tff(c_217945,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_217711]) ).
tff(c_218090,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217945,c_85116]) ).
tff(c_218091,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_217686,c_218090]) ).
tff(c_218092,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_218091]) ).
tff(c_218146,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_218106,c_218092,c_328]) ).
tff(c_218147,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_218105]) ).
tff(c_218149,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_218147,c_362]) ).
tff(c_218173,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_217703,c_217690,c_218149,c_217204]) ).
tff(c_218186,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_218173,c_218092,c_330]) ).
tff(c_218187,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_218091]) ).
tff(c_218195,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_218187,c_370]) ).
tff(c_218210,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_217703,c_217690,c_218195,c_217204]) ).
tff(c_218200,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_217702,c_217695,c_208864]) ).
tff(c_218201,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_218200]) ).
tff(c_218221,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_218210,c_218201,c_322]) ).
tff(c_218222,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_218200]) ).
tff(c_218194,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_218187,c_368]) ).
tff(c_218246,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_218222,c_218194]) ).
tff(c_218247,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_217697]) ).
tff(c_218962,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_218913,c_218247]) ).
tff(c_218964,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_218962,c_372]) ).
tff(c_218901,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_218899,c_330]) ).
tff(c_218249,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_217686,c_85116]) ).
tff(c_218250,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_218249]) ).
tff(c_218252,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_218250,c_310]) ).
tff(c_218535,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_218252,c_217690,c_217204]) ).
tff(c_218536,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_218535]) ).
tff(c_218253,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_218250,c_308]) ).
tff(c_218261,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_218253,c_217695,c_208864]) ).
tff(c_218262,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_218261]) ).
tff(c_218548,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_218536,c_218262,c_322]) ).
tff(c_218550,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_218535]) ).
tff(c_218283,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_218250,c_50475]) ).
tff(c_218284,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_218253,c_408,c_218283]) ).
tff(c_218285,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_218284]) ).
tff(c_218290,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_218285,c_222]) ).
tff(c_218356,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_218285,c_217204]) ).
tff(c_218357,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_402,c_218290,c_217690,c_218356]) ).
tff(c_218359,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_218357,c_366]) ).
tff(c_218407,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_218262,c_218285,c_154]) ).
tff(c_217308,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217286,c_360]) ).
tff(c_217293,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_217283,c_438]) ).
tff(c_217294,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_217293]) ).
tff(c_217309,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217294,c_270]) ).
tff(c_217667,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217294,c_85116]) ).
tff(c_217668,plain,
op(e1,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_217308,c_217309,c_217667]) ).
tff(c_217672,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_217668,c_310]) ).
tff(c_217412,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217294,c_85116]) ).
tff(c_217413,plain,
op(e1,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_217308,c_217309,c_217412]) ).
tff(c_217418,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_217413,c_310]) ).
tff(c_217371,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217294,c_262]) ).
tff(c_217384,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_217371,c_50475]) ).
tff(c_217385,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_217384]) ).
tff(c_217313,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217286,c_358]) ).
tff(c_217295,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217294,c_266]) ).
tff(c_217373,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_217313,c_217295,c_130109]) ).
tff(c_217374,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_217373]) ).
tff(c_217398,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_217385,c_217374,c_204]) ).
tff(c_217400,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_217384]) ).
tff(c_217401,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217374,c_208864]) ).
tff(c_217402,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_217400,c_404,c_217401]) ).
tff(c_217403,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_217402]) ).
tff(c_217404,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_217403,c_322]) ).
tff(c_217314,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217286,c_356]) ).
tff(c_217430,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_217418,c_217404,c_217314,c_217204]) ).
tff(c_217431,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217430,c_366]) ).
tff(c_217427,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_217403,c_324]) ).
tff(c_217316,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_217313,c_164528]) ).
tff(c_217317,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_217316]) ).
tff(c_217324,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_217317,c_312]) ).
tff(c_217366,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217294,c_85116]) ).
tff(c_217367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_217324,c_410,c_217308,c_217309,c_217366]) ).
tff(c_217368,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_217316]) ).
tff(c_217465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_217431,c_217427,c_217368]) ).
tff(c_217466,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_217402]) ).
tff(c_217479,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217294,c_85116]) ).
tff(c_217480,plain,
op(e1,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_217308,c_217309,c_217479]) ).
tff(c_217528,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_217466,c_217480,c_217466,c_158]) ).
tff(c_217529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_217528]) ).
tff(c_217530,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_217373]) ).
tff(c_217534,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_217530,c_226]) ).
tff(c_217582,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217294,c_85116]) ).
tff(c_217583,plain,
op(e1,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_217308,c_217309,c_217582]) ).
tff(c_217587,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_217583,c_310]) ).
tff(c_217596,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217530,c_217204]) ).
tff(c_217597,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_217587,c_217534,c_406,c_217596]) ).
tff(c_217598,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217597,c_366]) ).
tff(c_217538,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_217530,c_224]) ).
tff(c_217544,plain,
( ( op(e2,e4) = e2 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_217538,c_217371,c_50475]) ).
tff(c_217545,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_217544]) ).
tff(c_217547,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_217545,c_308]) ).
tff(c_217557,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217294,c_85116]) ).
tff(c_217558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_217547,c_410,c_217308,c_217309,c_217557]) ).
tff(c_217560,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_217544]) ).
tff(c_217370,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_217286,c_354]) ).
tff(c_217574,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_217560,c_217370,c_208864]) ).
tff(c_217575,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_217574]) ).
tff(c_217628,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_217575,c_324]) ).
tff(c_217655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_217598,c_217628,c_217368]) ).
tff(c_217656,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_217574]) ).
tff(c_217658,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_217656,c_362]) ).
tff(c_217680,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217530,c_217204]) ).
tff(c_217681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_217672,c_217534,c_406,c_217658,c_217680]) ).
tff(c_217682,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_217293]) ).
tff(c_218419,plain,
( ( op(e2,e3) = e2 )
| ( e4 = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_218262,c_218407,c_217682]) ).
tff(c_218420,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_402,c_218419]) ).
tff(c_218447,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_218420,c_218247]) ).
tff(c_218448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_218359,c_406,c_218447]) ).
tff(c_218449,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_218284]) ).
tff(c_218455,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_218449,c_242]) ).
tff(c_218596,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_218262,c_217682]) ).
tff(c_218597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_218550,c_218455,c_218596]) ).
tff(c_218598,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_218261]) ).
tff(c_218726,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_218598,c_218250,c_218598,c_158]) ).
tff(c_218727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_218726]) ).
tff(c_218728,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_218249]) ).
tff(c_218984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_218964,c_218901,c_218728]) ).
tff(c_218985,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_218898]) ).
tff(c_218987,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_218985,c_366]) ).
tff(c_218999,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_218730,c_202]) ).
tff(c_218986,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_218898]) ).
tff(c_219005,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_218999,c_218986,c_217682]) ).
tff(c_219031,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_219005,c_218247]) ).
tff(c_219032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_218987,c_406,c_219031]) ).
tff(c_219034,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_219703,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_219034,c_217695,c_208864]) ).
tff(c_219704,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_219703]) ).
tff(c_219705,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_219704,c_322]) ).
tff(c_219713,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_219705,c_217690,c_217204]) ).
tff(c_219714,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_219713]) ).
tff(c_219802,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_219714,c_219714,c_219704,c_162]) ).
tff(c_219803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_219802]) ).
tff(c_219804,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_219713]) ).
tff(c_219826,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_219804,c_370]) ).
tff(c_219835,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_219704,c_328]) ).
tff(c_219913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_219826,c_219835,c_218728]) ).
tff(c_219914,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_219703]) ).
tff(c_219918,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_219914,c_368]) ).
tff(c_219917,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_219914,c_364]) ).
tff(c_220354,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_219917,c_218247]) ).
tff(c_220364,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_220354,c_332]) ).
tff(c_220407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_219918,c_220364,c_218728]) ).
tff(c_220408,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_217285]) ).
tff(c_221494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_221417,c_221451,c_220408]) ).
tff(c_221495,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_221449]) ).
tff(c_221498,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_221495,c_362]) ).
tff(c_221524,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_221437,c_217204]) ).
tff(c_221525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_221442,c_221425,c_221498,c_221524]) ).
tff(c_221526,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_221711,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_221700,c_221526]) ).
tff(c_221712,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_221711]) ).
tff(c_221719,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_221712,c_364]) ).
tff(c_221697,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_221694,c_342]) ).
tff(c_221559,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_221536,c_208864]) ).
tff(c_221560,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_221559]) ).
tff(c_221562,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_221560,c_334]) ).
tff(c_221673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_221542,c_221562,c_220408]) ).
tff(c_221674,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_221559]) ).
tff(c_221780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_221719,c_221697,c_221674]) ).
tff(c_221781,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_221711]) ).
tff(c_221795,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_221694,c_221781,c_221694,c_166]) ).
tff(c_221796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_221795]) ).
tff(c_221797,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_221693]) ).
tff(c_221815,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_221797,c_220412,c_168]) ).
tff(c_221893,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_221815,c_221815,c_188]) ).
tff(c_221894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_221543,c_221893]) ).
tff(c_221895,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_221545]) ).
tff(c_221898,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_221895,c_244]) ).
tff(c_222140,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_221898,c_221526]) ).
tff(c_222141,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_222140]) ).
tff(c_222148,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_222141,c_364]) ).
tff(c_222143,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_222141,c_366]) ).
tff(c_221535,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_221530,c_310]) ).
tff(c_222040,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_221535,c_217204]) ).
tff(c_222041,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_222040]) ).
tff(c_222047,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_222041,c_336]) ).
tff(c_222125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_221542,c_222047,c_220408]) ).
tff(c_222126,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_222040]) ).
tff(c_222208,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_222143,c_222126]) ).
tff(c_222212,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_222208,c_342]) ).
tff(c_221909,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_221536,c_208864]) ).
tff(c_221910,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_221909]) ).
tff(c_221912,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_221910,c_334]) ).
tff(c_222021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_221542,c_221912,c_220408]) ).
tff(c_222022,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_221909]) ).
tff(c_222240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_222148,c_222212,c_222022]) ).
tff(c_222241,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_222140]) ).
tff(c_222252,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_222241,c_338]) ).
tff(c_222270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_221542,c_222252,c_220408]) ).
tff(c_222271,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_221529]) ).
tff(c_222274,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_222271,c_352]) ).
tff(c_222285,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_220427,c_50475]) ).
tff(c_222286,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_222285]) ).
tff(c_222291,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222286,c_314]) ).
tff(c_222287,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222286,c_302]) ).
tff(c_222277,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_222271,c_350]) ).
tff(c_222390,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_222287,c_222277,c_217204]) ).
tff(c_222391,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_222390]) ).
tff(c_222398,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_222391,c_336]) ).
tff(c_222442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_222291,c_222398,c_220408]) ).
tff(c_222443,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_222390]) ).
tff(c_222445,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_222443,c_366]) ).
tff(c_222461,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_222445,c_222274,c_221526]) ).
tff(c_222469,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_222461,c_338]) ).
tff(c_222486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_222291,c_222469,c_220408]) ).
tff(c_222488,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_222285]) ).
tff(c_222275,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_222271,c_348]) ).
tff(c_222490,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_222488,c_222275,c_208864]) ).
tff(c_222491,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_222490]) ).
tff(c_222492,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_222491,c_324]) ).
tff(c_222542,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_222274,c_222492,c_221526]) ).
tff(c_222533,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_222271,c_178]) ).
tff(c_222543,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_222542,c_222542,c_222533]) ).
tff(c_222553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_222543]) ).
tff(c_222554,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_222490]) ).
tff(c_222560,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_222554,c_364]) ).
tff(c_222559,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_222554,c_362]) ).
tff(c_222584,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_222277,c_222559,c_217204]) ).
tff(c_222585,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_222584]) ).
tff(c_222593,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222585,c_316]) ).
tff(c_222598,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_222560,c_222274,c_221526]) ).
tff(c_222606,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_222598,c_338]) ).
tff(c_222624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_222593,c_222606,c_220408]) ).
tff(c_222625,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_222584]) ).
tff(c_222628,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_222625,c_326]) ).
tff(c_222666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_222560,c_222274,c_222628,c_221526]) ).
tff(c_222667,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_220411]) ).
tff(c_224993,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_224831,c_222667]) ).
tff(c_224994,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_224993]) ).
tff(c_224995,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_224994,c_326]) ).
tff(c_223521,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222675,c_206]) ).
tff(c_223283,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_222675,c_208864]) ).
tff(c_223284,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_223283]) ).
tff(c_223285,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_223284]) ).
tff(c_223343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_223285,c_222675,c_204]) ).
tff(c_223345,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_223284]) ).
tff(c_223347,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_223361,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_223347,c_50475]) ).
tff(c_223362,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_223345,c_404,c_223361]) ).
tff(c_223363,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_223362]) ).
tff(c_223368,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_223363,c_222]) ).
tff(c_222677,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222675,c_218]) ).
tff(c_223369,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_223363,c_234]) ).
tff(c_223522,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_222677,c_223369,c_217280]) ).
tff(c_223523,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_223522]) ).
tff(c_223527,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_223523,c_256]) ).
tff(c_223575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_223521,c_223368,c_223527,c_222667]) ).
tff(c_223576,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_223522]) ).
tff(c_223683,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_223576,c_223576,c_208866,c_198]) ).
tff(c_223684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_223683]) ).
tff(c_223685,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_223362]) ).
tff(c_223904,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_223685,c_274]) ).
tff(c_224031,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222675,c_206]) ).
tff(c_223355,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_223347,c_318]) ).
tff(c_223353,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_223347,c_306]) ).
tff(c_223911,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_223353,c_217204]) ).
tff(c_223912,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_223911]) ).
tff(c_223916,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_223912,c_336]) ).
tff(c_224026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_223355,c_223916,c_220408]) ).
tff(c_224028,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_223911]) ).
tff(c_224033,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_224031,c_224028,c_222667]) ).
tff(c_224038,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_224033,c_256]) ).
tff(c_223701,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_223685,c_268]) ).
tff(c_223687,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_222677,c_217280]) ).
tff(c_223688,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_223687]) ).
tff(c_223691,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_223688,c_236]) ).
tff(c_223711,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_223353,c_223691,c_217204]) ).
tff(c_223712,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_223711]) ).
tff(c_223717,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_223712,c_350]) ).
tff(c_222683,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_222981,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222683,c_320]) ).
tff(c_222689,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222683,c_308]) ).
tff(c_222969,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_222675,c_208864]) ).
tff(c_222970,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_222689,c_404,c_222969]) ).
tff(c_222971,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_222970]) ).
tff(c_222974,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_222971,c_334]) ).
tff(c_223223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_222981,c_222974,c_220408]) ).
tff(c_223224,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_222970]) ).
tff(c_223279,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_223224,c_223224,c_222683,c_158]) ).
tff(c_223280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_223279]) ).
tff(c_223281,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_223758,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_223701,c_223717,c_223281]) ).
tff(c_223766,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_223758,c_340]) ).
tff(c_223792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_223355,c_223766,c_220408]) ).
tff(c_223793,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_223711]) ).
tff(c_223798,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_223793,c_362]) ).
tff(c_223872,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_223355,c_220408]) ).
tff(c_223876,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_223872,c_334]) ).
tff(c_223344,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_223284]) ).
tff(c_223897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_223798,c_223876,c_223344]) ).
tff(c_223898,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_223687]) ).
tff(c_224154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_223904,c_224038,c_223898]) ).
tff(c_224155,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_225015,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_224995,c_224155]) ).
tff(c_225016,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_225015]) ).
tff(c_225018,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_225016,c_372]) ).
tff(c_224996,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_224994,c_330]) ).
tff(c_225034,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_225018,c_224996,c_223281]) ).
tff(c_225087,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_225016,c_225034,c_225016,c_178]) ).
tff(c_225088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_225087]) ).
tff(c_225089,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_225015]) ).
tff(c_225092,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_225089,c_352]) ).
tff(c_225113,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_225092,c_224996,c_223281]) ).
tff(c_225114,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_225113,c_268]) ).
tff(c_225098,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_225089,c_244]) ).
tff(c_224158,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_223345,c_50475]) ).
tff(c_224159,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_224158]) ).
tff(c_224164,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_224159,c_222]) ).
tff(c_224172,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_224159,c_217204]) ).
tff(c_224173,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_224164,c_224172]) ).
tff(c_224174,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_224173]) ).
tff(c_224180,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_224174,c_346]) ).
tff(c_224226,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222675,c_206]) ).
tff(c_224265,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_224226,c_224164,c_222667]) ).
tff(c_224227,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_224174,c_174]) ).
tff(c_224267,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_224265,c_224227]) ).
tff(c_224277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_224180,c_224267]) ).
tff(c_224278,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_224173]) ).
tff(c_224281,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_224278,c_366]) ).
tff(c_224361,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222675,c_206]) ).
tff(c_224402,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_224361,c_224164,c_222667]) ).
tff(c_224407,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_224402,c_246]) ).
tff(c_224466,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_224402,c_224155]) ).
tff(c_224467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_224281,c_224407,c_406,c_224466]) ).
tff(c_224468,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_224158]) ).
tff(c_225183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_225114,c_225098,c_224468]) ).
tff(c_225184,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_224993]) ).
tff(c_225190,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_225184,c_246]) ).
tff(c_225200,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_225184,c_224155]) ).
tff(c_225201,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_225190,c_406,c_225200]) ).
tff(c_225205,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_225201,c_366]) ).
tff(c_225185,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_224993]) ).
tff(c_224472,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_217204]) ).
tff(c_224481,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_224472,c_316]) ).
tff(c_224815,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_224481,c_220408]) ).
tff(c_224486,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_222675,c_206]) ).
tff(c_224679,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_224486,c_222667]) ).
tff(c_224680,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_224679]) ).
tff(c_224688,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_224680,c_336]) ).
tff(c_224746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_224481,c_224688,c_220408]) ).
tff(c_224747,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_224679]) ).
tff(c_224751,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_224747,c_246]) ).
tff(c_224761,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_224747,c_224155]) ).
tff(c_224762,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_224751,c_406,c_224761]) ).
tff(c_224764,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_224762,c_372]) ).
tff(c_224783,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_224764,c_223281]) ).
tff(c_224784,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_224783]) ).
tff(c_224797,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_224784,c_224784,c_224762,c_186]) ).
tff(c_224798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_224797]) ).
tff(c_224799,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_224783]) ).
tff(c_224810,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_224799,c_340]) ).
tff(c_224828,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_224815,c_224810]) ).
tff(c_224829,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_217204]) ).
tff(c_225272,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_225205,c_225185,c_224829]) ).
tff(c_225187,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_225184,c_174]) ).
tff(c_225274,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_225272,c_225187]) ).
tff(c_225284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_225190,c_225274]) ).
tff(c_225285,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_228567,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_228560,c_228542,c_225285]) ).
tff(c_228571,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_228567,c_272]) ).
tff(c_228541,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_228538,c_330]) ).
tff(c_225287,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_226515,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_225287,c_320]) ).
tff(c_225292,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_225287,c_310]) ).
tff(c_226516,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_225292,c_217204]) ).
tff(c_226517,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_226516]) ).
tff(c_226524,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_226517,c_336]) ).
tff(c_226616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_226515,c_226524,c_220408]) ).
tff(c_226618,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_226516]) ).
tff(c_225293,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_225287,c_308]) ).
tff(c_225770,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_225287,c_50475]) ).
tff(c_225771,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_225293,c_408,c_225770]) ).
tff(c_225772,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_225771]) ).
tff(c_225777,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_225772,c_222]) ).
tff(c_226168,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_225772,c_217204]) ).
tff(c_226169,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_225777,c_226168]) ).
tff(c_226170,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_226169]) ).
tff(c_226176,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_226170,c_346]) ).
tff(c_226250,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_225777,c_222667]) ).
tff(c_226251,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_226250]) ).
tff(c_226233,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_225772,c_162]) ).
tff(c_226252,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_226251,c_226251,c_226233]) ).
tff(c_226264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_226252]) ).
tff(c_226265,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_226250]) ).
tff(c_226214,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_226170,c_174]) ).
tff(c_226267,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_226265,c_226214]) ).
tff(c_226279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_226176,c_226267]) ).
tff(c_226280,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_226169]) ).
tff(c_226283,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_226280,c_366]) ).
tff(c_226342,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_225777,c_222667]) ).
tff(c_226343,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_226342]) ).
tff(c_226361,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_225772,c_226343,c_225772,c_154]) ).
tff(c_226362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_226361]) ).
tff(c_226363,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_226342]) ).
tff(c_226368,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_226363,c_246]) ).
tff(c_225666,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_225287,c_320]) ).
tff(c_225294,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_225287,c_312]) ).
tff(c_225299,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_225294,c_164528]) ).
tff(c_225300,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_225299]) ).
tff(c_225304,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_225300,c_338]) ).
tff(c_225767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_225666,c_225304,c_220408]) ).
tff(c_225768,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_225299]) ).
tff(c_226415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_226283,c_226368,c_225768]) ).
tff(c_226416,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_225771]) ).
tff(c_226421,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_226416,c_244]) ).
tff(c_226720,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_226421,c_225285]) ).
tff(c_226721,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_226720]) ).
tff(c_226726,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_226721,c_278]) ).
tff(c_226419,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_226416,c_254]) ).
tff(c_226631,plain,
( ( op(e1,e0) = e1 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_226419,c_217280]) ).
tff(c_226632,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_226631]) ).
tff(c_226640,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_226632,c_216]) ).
tff(c_226422,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_226416,c_242]) ).
tff(c_226683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_226640,c_226618,c_226422,c_222667]) ).
tff(c_226684,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_226631]) ).
tff(c_226816,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_226726,c_226684]) ).
tff(c_226779,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_226515,c_220408]) ).
tff(c_226780,plain,
op(e3,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_226779,c_170]) ).
tff(c_226818,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_226816,c_226780]) ).
tff(c_226829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_226618,c_226818]) ).
tff(c_226830,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_226720]) ).
tff(c_226839,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_226830,c_238]) ).
tff(c_226925,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_226839,c_226684]) ).
tff(c_226912,plain,
op(op(e1,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_208866,c_198]) ).
tff(c_226926,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_226925,c_226925,c_226912]) ).
tff(c_226937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_226926]) ).
tff(c_226938,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_228588,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_228567,c_226938]) ).
tff(c_228589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_228571,c_412,c_228541,c_228588]) ).
tff(c_228590,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_228551]) ).
tff(c_228594,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_228590,c_280]) ).
tff(c_228596,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_228590,c_278]) ).
tff(c_228605,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_228596,c_228542,c_225285]) ).
tff(c_228608,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_228605,c_352]) ).
tff(c_228628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_228594,c_228608,c_228541,c_226938]) ).
tff(c_228630,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_228537]) ).
tff(c_229021,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_228507,c_228630,c_222667]) ).
tff(c_229028,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_229021,c_256]) ).
tff(c_228661,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_228499,c_217280]) ).
tff(c_228662,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_228661]) ).
tff(c_228668,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_228662,c_238]) ).
tff(c_228682,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_228668,c_225285]) ).
tff(c_228683,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_228682]) ).
tff(c_228687,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_228683,c_272]) ).
tff(c_228700,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_228683,c_226938]) ).
tff(c_228701,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_228687,c_412,c_228700]) ).
tff(c_228710,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_228701,c_332]) ).
tff(c_226940,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_226948,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_226940,c_318]) ).
tff(c_226945,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_226940,c_304]) ).
tff(c_226953,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_226940,c_50475]) ).
tff(c_226954,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_226945,c_404,c_226953]) ).
tff(c_226955,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_226954]) ).
tff(c_226960,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_226955,c_222]) ).
tff(c_227411,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_226955,c_217204]) ).
tff(c_227412,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_226960,c_227411]) ).
tff(c_227413,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_227412]) ).
tff(c_227419,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_227413,c_346]) ).
tff(c_227546,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_226960,c_222667]) ).
tff(c_227547,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_227546]) ).
tff(c_227444,plain,
op(e3,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_226955,c_154]) ).
tff(c_227548,plain,
op(e3,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_227547,c_227444]) ).
tff(c_227557,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_226955,c_227548]) ).
tff(c_227559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_227557]) ).
tff(c_227560,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_227546]) ).
tff(c_227426,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_227413,c_174]) ).
tff(c_227564,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_227560,c_227426]) ).
tff(c_227573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_227419,c_227564]) ).
tff(c_227574,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_227412]) ).
tff(c_227583,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_227574,c_370]) ).
tff(c_227611,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_227583,c_226938]) ).
tff(c_227612,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_227611]) ).
tff(c_227614,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_227612,c_352]) ).
tff(c_226958,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_226955,c_224]) ).
tff(c_227634,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_227612,c_225285]) ).
tff(c_227635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_227614,c_226958,c_227634]) ).
tff(c_227636,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_227611]) ).
tff(c_227606,plain,
op(e1,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_227574,c_184]) ).
tff(c_227638,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_227636,c_227636,c_227606]) ).
tff(c_227649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_227638]) ).
tff(c_227650,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_226954]) ).
tff(c_227653,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_227650,c_268]) ).
tff(c_227654,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_227650,c_264]) ).
tff(c_228180,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_227654,c_225285]) ).
tff(c_228181,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_228180]) ).
tff(c_228185,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_228181,c_352]) ).
tff(c_228204,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_227653,c_228185,c_226938]) ).
tff(c_228213,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_228204,c_340]) ).
tff(c_228276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_226948,c_228213,c_220408]) ).
tff(c_228277,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_228180]) ).
tff(c_226946,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_226940,c_306]) ).
tff(c_227875,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_226946,c_217204]) ).
tff(c_227876,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_227875]) ).
tff(c_227880,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_227876,c_226]) ).
tff(c_227949,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_227654,c_227880,c_225285]) ).
tff(c_227953,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_227949,c_352]) ).
tff(c_227879,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_227876,c_330]) ).
tff(c_227975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_227653,c_227953,c_227879,c_226938]) ).
tff(c_227976,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_227875]) ).
tff(c_228431,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_228277,c_227976]) ).
tff(c_228432,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_228431]) ).
tff(c_228439,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_228432,c_362]) ).
tff(c_228297,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_227653,c_226938]) ).
tff(c_228298,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_228297]) ).
tff(c_228301,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_228298,c_348]) ).
tff(c_227663,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_226945,c_208864]) ).
tff(c_227664,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_227663]) ).
tff(c_227665,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_227664,c_322]) ).
tff(c_227830,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_227664,c_222667]) ).
tff(c_227831,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_227665,c_227830]) ).
tff(c_227837,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_227831,c_246]) ).
tff(c_227858,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_227654,c_227837,c_225285]) ).
tff(c_227833,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_227831,c_174]) ).
tff(c_227859,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_227858,c_227858,c_227833]) ).
tff(c_227871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_227859]) ).
tff(c_227872,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_227663]) ).
tff(c_228460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_228439,c_228301,c_227872]) ).
tff(c_228461,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_228297]) ).
tff(c_228471,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_228461,c_340]) ).
tff(c_228492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_226948,c_228471,c_220408]) ).
tff(c_228493,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_228731,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_228710,c_228493]) ).
tff(c_228732,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_228731]) ).
tff(c_228749,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_228732,c_228683,c_186]) ).
tff(c_228750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_228687,c_228749]) ).
tff(c_228751,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_228731]) ).
tff(c_228753,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_228507,c_228630,c_222667]) ).
tff(c_228759,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_228753,c_246]) ).
tff(c_228781,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_228751,c_228759]) ).
tff(c_228782,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_228682]) ).
tff(c_228785,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_228782,c_246]) ).
tff(c_228843,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_228507,c_228630,c_228785,c_222667]) ).
tff(c_228844,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_228661]) ).
tff(c_229065,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_229028,c_228844]) ).
tff(c_228862,plain,
op(e0,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_208866,c_190]) ).
tff(c_229067,plain,
op(e0,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_229065,c_228862]) ).
tff(c_229077,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_208866,c_229067]) ).
tff(c_229079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_229077]) ).
tff(c_229081,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_229090,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_229081,c_208864]) ).
tff(c_229091,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_229090]) ).
tff(c_229097,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_229091,c_322]) ).
tff(c_229344,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_229091,c_222667]) ).
tff(c_229345,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_229097,c_229344]) ).
tff(c_229095,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_229091,c_328]) ).
tff(c_229281,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_229095,c_226938]) ).
tff(c_229282,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_229281]) ).
tff(c_229287,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_229282,c_272]) ).
tff(c_229304,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_229287,c_225285]) ).
tff(c_229305,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_229304]) ).
tff(c_229306,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_229305,c_246]) ).
tff(c_229322,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_229091,c_222667]) ).
tff(c_229323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_229097,c_229306,c_229322]) ).
tff(c_229324,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_229304]) ).
tff(c_229327,plain,
op(e3,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_229324,c_174]) ).
tff(c_229346,plain,
op(e3,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_229345,c_229327]) ).
tff(c_229359,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_229346,c_229324]) ).
tff(c_229361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_229359]) ).
tff(c_229362,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_229281]) ).
tff(c_229366,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_229362,c_352]) ).
tff(c_229407,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_229362,c_225285]) ).
tff(c_229408,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_229366,c_229407]) ).
tff(c_229391,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_229091,c_222667]) ).
tff(c_229392,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_229097,c_229391]) ).
tff(c_229396,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_229392,c_174]) ).
tff(c_229421,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_229408,c_229408,c_229396]) ).
tff(c_229422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_229421]) ).
tff(c_229423,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_229090]) ).
tff(c_230592,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_229423]) ).
tff(c_230600,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_230592,c_364]) ).
tff(c_229429,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_217280]) ).
tff(c_229437,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_229429,c_216]) ).
tff(c_230607,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_229437,c_222667]) ).
tff(c_230608,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_230607]) ).
tff(c_230616,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_230608,c_336]) ).
tff(c_230646,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_230616,c_220408]) ).
tff(c_229952,plain,
op(op(e0,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_229429,c_160]) ).
tff(c_230648,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_230646,c_229952]) ).
tff(c_230658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_229081,c_230648]) ).
tff(c_230659,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_230607]) ).
tff(c_230675,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230659,c_228493]) ).
tff(c_230676,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_230600,c_406,c_230675]) ).
tff(c_230665,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_230659,c_246]) ).
tff(c_230690,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_230676,c_230665]) ).
tff(c_230691,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_229423]) ).
tff(c_230702,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_230691,c_344]) ).
tff(c_230707,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_229437,c_222667]) ).
tff(c_230708,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_230707]) ).
tff(c_230716,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_230708,c_336]) ).
tff(c_230755,plain,
op(e0,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_230716,c_220408]) ).
tff(c_230757,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_230755,c_229952]) ).
tff(c_230767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_229081,c_230757]) ).
tff(c_230768,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_230707]) ).
tff(c_230784,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230768,c_228493]) ).
tff(c_230785,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_230702,c_406,c_230784]) ).
tff(c_230791,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_230785,c_366]) ).
tff(c_230699,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_230691,c_342]) ).
tff(c_230769,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_230707]) ).
tff(c_229451,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_217204]) ).
tff(c_229459,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_229451,c_316]) ).
tff(c_229635,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_229437,c_222667]) ).
tff(c_229636,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_229635]) ).
tff(c_229639,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_229636,c_326]) ).
tff(c_229658,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_229639,c_228493]) ).
tff(c_229659,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_229658]) ).
tff(c_229662,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_229659,c_372]) ).
tff(c_229641,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_229636,c_330]) ).
tff(c_229716,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_229662,c_229641,c_226938]) ).
tff(c_229701,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_229659,c_178]) ).
tff(c_229717,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_229716,c_229701]) ).
tff(c_229727,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_229659,c_229717]) ).
tff(c_229729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_229727]) ).
tff(c_229730,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_229658]) ).
tff(c_229738,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_229730,c_244]) ).
tff(c_229080,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_229745,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_229451,c_229080]) ).
tff(c_229746,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_229738,c_402,c_229745]) ).
tff(c_229750,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_229746,c_268]) ).
tff(c_229734,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_229730,c_352]) ).
tff(c_229776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_229750,c_229734,c_229641,c_226938]) ).
tff(c_229777,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_229635]) ).
tff(c_229783,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_229777,c_246]) ).
tff(c_229793,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_229777,c_228493]) ).
tff(c_229794,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_229783,c_406,c_229793]) ).
tff(c_229796,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_229794,c_372]) ).
tff(c_229857,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_229796,c_226938]) ).
tff(c_229858,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_229857]) ).
tff(c_229852,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_229794,c_178]) ).
tff(c_229859,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_229858,c_229852]) ).
tff(c_229869,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_229794,c_229859]) ).
tff(c_229871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_229869]) ).
tff(c_229872,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_229857]) ).
tff(c_229883,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_229872,c_340]) ).
tff(c_229933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_229459,c_229883,c_220408]) ).
tff(c_229934,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_217204]) ).
tff(c_230816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_230791,c_230699,c_230769,c_229934]) ).
tff(c_230817,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_217280]) ).
tff(c_231565,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_230817]) ).
tff(c_231552,plain,
op(op(e1,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_208866,c_198]) ).
tff(c_231566,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_231565,c_231565,c_231552]) ).
tff(c_231577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_231566]) ).
tff(c_231578,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_230817]) ).
tff(c_231601,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_231578]) ).
tff(c_231608,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_231601,c_236]) ).
tff(c_231221,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_230817]) ).
tff(c_231048,plain,
op(e0,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_208866,c_190]) ).
tff(c_231222,plain,
op(e0,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_231221,c_231048]) ).
tff(c_231233,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_208866,c_231222]) ).
tff(c_231235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_231233]) ).
tff(c_231236,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_230817]) ).
tff(c_231447,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_231236]) ).
tff(c_231454,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_231447,c_238]) ).
tff(c_230851,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_217204]) ).
tff(c_230860,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_230851,c_316]) ).
tff(c_231344,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_230860,c_220408]) ).
tff(c_231351,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_231344,c_338]) ).
tff(c_231246,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_229423]) ).
tff(c_231253,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_231246,c_364]) ).
tff(c_231310,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_231253,c_228493]) ).
tff(c_231311,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_231310]) ).
tff(c_230879,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_226938]) ).
tff(c_230883,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_230879,c_372]) ).
tff(c_230880,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_230879,c_268]) ).
tff(c_230884,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_230879,c_272]) ).
tff(c_230901,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_230884,c_225285]) ).
tff(c_230902,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_230901]) ).
tff(c_230908,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_230902,c_244]) ).
tff(c_230981,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230851,c_229080]) ).
tff(c_230982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_230880,c_230908,c_402,c_230981]) ).
tff(c_230984,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_230901]) ).
tff(c_230983,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_230901]) ).
tff(c_230990,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_230983,c_226]) ).
tff(c_230999,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_230990,c_222667]) ).
tff(c_231000,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_230999]) ).
tff(c_230852,plain,
op(e4,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_230851,c_154]) ).
tff(c_231002,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_231000,c_230852]) ).
tff(c_231013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_229081,c_231002]) ).
tff(c_231014,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_230999]) ).
tff(c_231028,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_231014,c_228493]) ).
tff(c_231029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_230883,c_230984,c_406,c_231028]) ).
tff(c_231031,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_226938]) ).
tff(c_231261,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230851,c_229080]) ).
tff(c_231262,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_231261]) ).
tff(c_231263,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_231262]) ).
tff(c_231247,plain,
op(e1,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_231246,c_182]) ).
tff(c_231276,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_231263,c_231247]) ).
tff(c_231277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231031,c_231276]) ).
tff(c_231278,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_231262]) ).
tff(c_231301,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_231278,c_244]) ).
tff(c_231325,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_231311,c_231301]) ).
tff(c_231326,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_231310]) ).
tff(c_231357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231351,c_231326]) ).
tff(c_231358,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_229423]) ).
tff(c_231369,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_231358,c_344]) ).
tff(c_231065,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_225285]) ).
tff(c_231072,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_231065,c_278]) ).
tff(c_231070,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_231065,c_264]) ).
tff(c_231139,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230851,c_229080]) ).
tff(c_231140,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_231070,c_402,c_231139]) ).
tff(c_231144,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_231140,c_254]) ).
tff(c_231159,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_231072,c_231144,c_230817]) ).
tff(c_231164,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_231159,c_396]) ).
tff(c_231183,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_230860,c_220408]) ).
tff(c_231162,plain,
op(e3,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_231159,c_194]) ).
tff(c_231200,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_231183,c_231162]) ).
tff(c_231202,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_231200,c_231200,c_164]) ).
tff(c_231210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231164,c_231202]) ).
tff(c_231211,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_225285]) ).
tff(c_231476,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231454,c_231369,c_231211]) ).
tff(c_231477,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_231236]) ).
tff(c_231486,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_231477,c_256]) ).
tff(c_231502,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_230860,c_220408]) ).
tff(c_231512,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_231502,c_336]) ).
tff(c_231375,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_222667]) ).
tff(c_231377,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_231375,c_230852]) ).
tff(c_231387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_229081,c_231377]) ).
tff(c_231388,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_222667]) ).
tff(c_231525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231486,c_231512,c_231388]) ).
tff(c_231526,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_217204]) ).
tff(c_231836,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_231526]) ).
tff(c_231842,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_231836,c_362]) ).
tff(c_231840,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_231836,c_366]) ).
tff(c_231900,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_231840,c_228493]) ).
tff(c_231901,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_231900]) ).
tff(c_231910,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_231901,c_344]) ).
tff(c_231954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231842,c_231910,c_229423]) ).
tff(c_231956,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_231900]) ).
tff(c_231611,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_231601,c_234]) ).
tff(c_231617,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_229080]) ).
tff(c_231622,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_231617,c_268]) ).
tff(c_231623,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_231617,c_264]) ).
tff(c_231607,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_231601,c_238]) ).
tff(c_231731,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_231623,c_231607,c_225285]) ).
tff(c_231740,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_231731,c_344]) ).
tff(c_231749,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_231740,c_229423]) ).
tff(c_231618,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_231617,c_182]) ).
tff(c_231752,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_231749,c_231618]) ).
tff(c_231761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231622,c_231752]) ).
tff(c_231762,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_229080]) ).
tff(c_232021,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_231611,c_231762]) ).
tff(c_231971,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_231842,c_229423]) ).
tff(c_231973,plain,
op(e2,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_231971,c_172]) ).
tff(c_232038,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_232021,c_231973]) ).
tff(c_232039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231956,c_232038]) ).
tff(c_232040,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_231526]) ).
tff(c_232238,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_231608,c_232040]) ).
tff(c_232246,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_232238,c_346]) ).
tff(c_232042,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_228493]) ).
tff(c_232051,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_232042,c_364]) ).
tff(c_232046,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_232042,c_372]) ).
tff(c_232078,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_231607,c_225285]) ).
tff(c_232079,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_232078]) ).
tff(c_232043,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_232042,c_186]) ).
tff(c_232092,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_232079,c_232043]) ).
tff(c_232093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232046,c_232092]) ).
tff(c_232094,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_232078]) ).
tff(c_232104,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_232094,c_344]) ).
tff(c_232132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232051,c_232104,c_229423]) ).
tff(c_232133,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_228493]) ).
tff(c_232272,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_232246,c_232133]) ).
tff(c_232242,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_232238,c_174]) ).
tff(c_232273,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_232272,c_232272,c_232242]) ).
tff(c_232283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_232273]) ).
tff(c_232284,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_231578]) ).
tff(c_232294,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_232284,c_258]) ).
tff(c_232968,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_232294,c_225285]) ).
tff(c_232969,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_232968]) ).
tff(c_232301,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_226938]) ).
tff(c_232303,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_232301,c_268]) ).
tff(c_232295,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_232284,c_254]) ).
tff(c_232310,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_232301,c_370]) ).
tff(c_232323,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_232310,c_231526]) ).
tff(c_232324,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_232323]) ).
tff(c_232306,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_232301,c_372]) ).
tff(c_232379,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_232306,c_232294,c_228493]) ).
tff(c_232325,plain,
op(op(e2,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_232324,c_166]) ).
tff(c_232380,plain,
op(e3,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_232379,c_232325]) ).
tff(c_232389,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_232324,c_232380]) ).
tff(c_232391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_232389]) ).
tff(c_232392,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_232323]) ).
tff(c_232402,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_232392,c_222]) ).
tff(c_232448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232303,c_232295,c_232402,c_229080]) ).
tff(c_232449,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_226938]) ).
tff(c_232996,plain,
( ( e2 = e1 )
| ( op(e1,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_232969,c_232449]) ).
tff(c_232997,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_232996]) ).
tff(c_233007,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_232997,c_332]) ).
tff(c_232450,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_226938]) ).
tff(c_233012,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_232294,c_228493]) ).
tff(c_233013,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_233012]) ).
tff(c_232971,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_232969,c_186]) ).
tff(c_233014,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_233013,c_232971]) ).
tff(c_233025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232450,c_233014]) ).
tff(c_233026,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_233012]) ).
tff(c_233028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233007,c_233026]) ).
tff(c_233029,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_232968]) ).
tff(c_233035,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_233029,c_226]) ).
tff(c_232474,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_231526]) ).
tff(c_232477,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_232474,c_366]) ).
tff(c_232497,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_232294,c_225285]) ).
tff(c_232498,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_232497]) ).
tff(c_232503,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_232498,c_264]) ).
tff(c_232588,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_232503,c_232295,c_229080]) ).
tff(c_232293,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_232284,c_256]) ).
tff(c_232529,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_232293,c_222667]) ).
tff(c_232530,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_232529]) ).
tff(c_232532,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_232530,c_154]) ).
tff(c_232589,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_232588,c_232588,c_232532]) ).
tff(c_232600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_232589]) ).
tff(c_232601,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_232529]) ).
tff(c_232605,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_232601,c_326]) ).
tff(c_232632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232477,c_232294,c_232605,c_228493]) ).
tff(c_232633,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_232497]) ).
tff(c_232640,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_232633,c_226]) ).
tff(c_232689,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_232477,c_232294,c_228493]) ).
tff(c_232636,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_232633,c_166]) ).
tff(c_232691,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_232689,c_232636]) ).
tff(c_232701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232640,c_232691]) ).
tff(c_232702,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_231526]) ).
tff(c_233152,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_233029,c_232702]) ).
tff(c_233153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233035,c_406,c_233152]) ).
tff(c_233154,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_234443,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_234296,c_233154]) ).
tff(c_234444,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_234443]) ).
tff(c_234509,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234297,c_234444,c_208]) ).
tff(c_234510,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_234443]) ).
tff(c_234614,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_234589,c_234510]) ).
tff(c_234615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_234579,c_234614]) ).
tff(c_234616,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_234550]) ).
tff(c_234623,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_234616,c_378]) ).
tff(c_234631,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_234326,c_330]) ).
tff(c_234636,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_234439,c_234437]) ).
tff(c_234637,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_234636]) ).
tff(c_234642,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_234637,c_252]) ).
tff(c_234675,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_234642,c_234510]) ).
tff(c_234670,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_234326,c_168]) ).
tff(c_234676,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_234675,c_234670]) ).
tff(c_234686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234631,c_234676]) ).
tff(c_234688,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_234636]) ).
tff(c_234701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234623,c_234688,c_234329,c_234323]) ).
tff(c_234702,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_234325]) ).
tff(c_234889,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_234702,c_360]) ).
tff(c_234927,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_234300,c_234889,c_233231]) ).
tff(c_234928,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_234927]) ).
tff(c_234978,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_234928,c_233156,c_170]) ).
tff(c_234979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_234978]) ).
tff(c_234980,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_234927]) ).
tff(c_234987,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_234980,c_378]) ).
tff(c_234891,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_234702,c_352]) ).
tff(c_234996,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_234987,c_234891,c_234323]) ).
tff(c_233243,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_236]) ).
tff(c_233245,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_234275,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_233245,c_170]) ).
tff(c_234276,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_234275,c_234275,c_200]) ).
tff(c_234287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233243,c_234276]) ).
tff(c_234288,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_234894,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_234288]) ).
tff(c_234924,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234894,c_234297,c_202]) ).
tff(c_234925,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_234288]) ).
tff(c_235008,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_234996,c_234925]) ).
tff(c_235009,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_234995,c_406,c_235008]) ).
tff(c_235039,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_235009,c_234996,c_326]) ).
tff(c_235040,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_238215,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_236950,c_235040]) ).
tff(c_238216,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_238215]) ).
tff(c_238217,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_238216,c_244]) ).
tff(c_235494,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_274]) ).
tff(c_235925,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_278]) ).
tff(c_235043,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_235047,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_318]) ).
tff(c_235046,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_312]) ).
tff(c_235680,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_235046,c_234296,c_85116]) ).
tff(c_235681,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_235680]) ).
tff(c_235686,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_235681,c_340]) ).
tff(c_235896,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_235047,c_235686,c_233231]) ).
tff(c_235897,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_235896]) ).
tff(c_235900,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_235897,c_358]) ).
tff(c_235694,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_235697,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_235694,c_344]) ).
tff(c_235883,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_235694,c_172]) ).
tff(c_235886,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_235883,c_235883,c_152]) ).
tff(c_235893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235697,c_235886]) ).
tff(c_235894,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_235941,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_235925,c_235900,c_235894]) ).
tff(c_235949,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_235941,c_224]) ).
tff(c_235978,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_235040]) ).
tff(c_235979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235494,c_404,c_235949,c_235978]) ).
tff(c_235980,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_235896]) ).
tff(c_235989,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_235980,c_374]) ).
tff(c_236070,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_278]) ).
tff(c_236074,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_236070,c_235894]) ).
tff(c_236075,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_236074]) ).
tff(c_236083,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_236075,c_344]) ).
tff(c_235042,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_276]) ).
tff(c_235041,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_235495,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_235041,c_208864]) ).
tff(c_235496,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_235495]) ).
tff(c_235615,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235496,c_234288]) ).
tff(c_235616,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_235042,c_235615]) ).
tff(c_235617,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_235616]) ).
tff(c_235638,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_235617,c_235496,c_322]) ).
tff(c_235639,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_235616]) ).
tff(c_235643,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_235639,c_250]) ).
tff(c_235660,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_235040]) ).
tff(c_235661,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_235494,c_404,c_235660]) ).
tff(c_235665,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_235661,c_228]) ).
tff(c_235472,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_274]) ).
tff(c_235305,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_274]) ).
tff(c_235053,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_234296,c_233154]) ).
tff(c_235054,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_235053]) ).
tff(c_235065,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235054,c_208864]) ).
tff(c_235066,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_235041,c_408,c_235065]) ).
tff(c_235067,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_235066]) ).
tff(c_235272,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235067,c_234288]) ).
tff(c_235273,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_235042,c_235272]) ).
tff(c_235274,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_235273]) ).
tff(c_235279,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_235274,c_222]) ).
tff(c_235311,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_235040]) ).
tff(c_235312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235305,c_404,c_235279,c_235311]) ).
tff(c_235313,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_235273]) ).
tff(c_235319,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_235313,c_246]) ).
tff(c_235349,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_274]) ).
tff(c_235351,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_235040]) ).
tff(c_235352,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_235349,c_404,c_235351]) ).
tff(c_235358,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_235352,c_224]) ).
tff(c_235064,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_278]) ).
tff(c_235207,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_235064,c_130109]) ).
tff(c_235208,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_235207]) ).
tff(c_235261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_235208,c_235054,c_212]) ).
tff(c_235262,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_235207]) ).
tff(c_235368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235319,c_235358,c_235262]) ).
tff(c_235369,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_235066]) ).
tff(c_235371,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_235369,c_344]) ).
tff(c_235392,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235369,c_130109]) ).
tff(c_235393,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_404,c_235371,c_235064,c_235392]) ).
tff(c_235399,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_235393,c_224]) ).
tff(c_235489,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_235040]) ).
tff(c_235490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235472,c_404,c_235399,c_235489]) ).
tff(c_235491,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_235053]) ).
tff(c_235677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235643,c_235665,c_235491]) ).
tff(c_235678,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_235495]) ).
tff(c_236130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235989,c_236083,c_235678]) ).
tff(c_236131,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_236074]) ).
tff(c_236140,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_236131,c_224]) ).
tff(c_236149,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_235040]) ).
tff(c_236150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235494,c_404,c_236140,c_236149]) ).
tff(c_236151,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_235680]) ).
tff(c_236153,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_236151,c_352]) ).
tff(c_236164,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_236151,c_130109]) ).
tff(c_236165,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_236153,c_412,c_236164]) ).
tff(c_236166,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_236165]) ).
tff(c_236169,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_236166,c_344]) ).
tff(c_236331,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_236166,c_172]) ).
tff(c_236332,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_236331,c_236331,c_152]) ).
tff(c_236341,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_236169,c_236332]) ).
tff(c_236342,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_236165]) ).
tff(c_236364,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_236342,c_224]) ).
tff(c_236390,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_235043,c_235040]) ).
tff(c_236391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235494,c_404,c_236364,c_236390]) ).
tff(c_236392,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_238233,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_238217,c_236392]) ).
tff(c_238234,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_238233]) ).
tff(c_238239,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_238234,c_364]) ).
tff(c_236952,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_235041,c_208864]) ).
tff(c_236953,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_236952]) ).
tff(c_237150,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_236953,c_234288]) ).
tff(c_237151,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_235042,c_237150]) ).
tff(c_237152,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_237151]) ).
tff(c_237167,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_237152,c_236953,c_322]) ).
tff(c_237169,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_237151]) ).
tff(c_237168,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_237151]) ).
tff(c_237175,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_237168,c_242]) ).
tff(c_237226,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_236950,c_237175,c_235040]) ).
tff(c_237196,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_236953,c_162]) ).
tff(c_237227,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_237226,c_237196]) ).
tff(c_237238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_237169,c_237227]) ).
tff(c_237239,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_236952]) ).
tff(c_238288,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_238239,c_237239]) ).
tff(c_238256,plain,
op(op(e4,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_238216,c_172]) ).
tff(c_238289,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_238288,c_238256]) ).
tff(c_238300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_238217,c_238289]) ).
tff(c_238301,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_238233]) ).
tff(c_238304,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_238301,c_326]) ).
tff(c_238102,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_236950,c_235040]) ).
tff(c_238103,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_238102]) ).
tff(c_238104,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_238103,c_244]) ).
tff(c_238107,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_238103,c_248]) ).
tff(c_236941,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_274]) ).
tff(c_236396,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_234296,c_233154]) ).
tff(c_236397,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_236396]) ).
tff(c_236408,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_236397,c_208864]) ).
tff(c_236409,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_235041,c_408,c_236408]) ).
tff(c_236410,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_236409]) ).
tff(c_236605,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_236410,c_234288]) ).
tff(c_236606,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_235042,c_236605]) ).
tff(c_236607,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_236606]) ).
tff(c_236638,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_236607,c_236410,c_322]) ).
tff(c_236640,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_236606]) ).
tff(c_236667,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_274]) ).
tff(c_236639,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_236606]) ).
tff(c_236645,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_236639,c_242]) ).
tff(c_236719,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_236667,c_236645,c_235040]) ).
tff(c_236677,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_236410,c_162]) ).
tff(c_236721,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_236719,c_236677]) ).
tff(c_236731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_236640,c_236721]) ).
tff(c_236732,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_236409]) ).
tff(c_236735,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_236732,c_344]) ).
tff(c_236394,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_233235,c_278]) ).
tff(c_236878,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_236732,c_130109]) ).
tff(c_236879,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_404,c_236735,c_236394,c_236878]) ).
tff(c_236883,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_236879,c_226]) ).
tff(c_236754,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_236732,c_130109]) ).
tff(c_236755,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_404,c_236735,c_236394,c_236754]) ).
tff(c_236759,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_236755,c_226]) ).
tff(c_236802,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_236759,c_235042,c_234288]) ).
tff(c_236803,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_236802]) ).
tff(c_236821,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_236803,c_236397,c_210]) ).
tff(c_236822,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_236802]) ).
tff(c_236828,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_236822,c_242]) ).
tff(c_236762,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_236755,c_224]) ).
tff(c_236734,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_236732,c_348]) ).
tff(c_236742,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_236734,c_234296,c_85116]) ).
tff(c_236743,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_236742]) ).
tff(c_236864,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_236743,c_235040]) ).
tff(c_236865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_236828,c_236762,c_236864]) ).
tff(c_236866,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_236742]) ).
tff(c_236907,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_236866,c_234288]) ).
tff(c_236908,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_236883,c_410,c_236907]) ).
tff(c_236909,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_236908]) ).
tff(c_236924,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_236909,c_236397,c_210]) ).
tff(c_236925,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_236908]) ).
tff(c_236932,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_236925,c_242]) ).
tff(c_236886,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_236879,c_224]) ).
tff(c_236947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_236941,c_236932,c_236886,c_235040]) ).
tff(c_236948,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_236396]) ).
tff(c_238175,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_238107,c_236948]) ).
tff(c_238181,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_238175,c_232]) ).
tff(c_237800,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_236394,c_130109]) ).
tff(c_237801,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_237800]) ).
tff(c_237825,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_237801,c_206]) ).
tff(c_237827,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_237825,c_235042,c_234288]) ).
tff(c_237828,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_237827]) ).
tff(c_237834,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_237828,c_222]) ).
tff(c_237856,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_236950,c_237834,c_235040]) ).
tff(c_237857,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_237856,c_244]) ).
tff(c_237839,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_237828,c_326]) ).
tff(c_237878,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_237857,c_237839,c_236392]) ).
tff(c_237829,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_237828,c_330]) ).
tff(c_237241,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_234296,c_85116]) ).
tff(c_237242,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_237241]) ).
tff(c_237521,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_237242,c_320]) ).
tff(c_237523,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_237521,c_233231]) ).
tff(c_237524,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_237523]) ).
tff(c_237571,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_237524,c_233156,c_170]) ).
tff(c_237572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_237571]) ).
tff(c_237573,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_237523]) ).
tff(c_237740,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_237573]) ).
tff(c_237754,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_237740,c_233235,c_190]) ).
tff(c_237755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234296,c_237754]) ).
tff(c_237756,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_237573]) ).
tff(c_237761,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_237756,c_354]) ).
tff(c_237785,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_237761,c_237239]) ).
tff(c_237694,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_237242,c_158]) ).
tff(c_237787,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_237785,c_237785,c_237694]) ).
tff(c_237796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_237787]) ).
tff(c_237797,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_237241]) ).
tff(c_237908,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_237829,c_237797]) ).
tff(c_237934,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_237878,c_237908,c_237878,c_178]) ).
tff(c_237935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_237934]) ).
tff(c_237936,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_237827]) ).
tff(c_237943,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_237936,c_242]) ).
tff(c_237996,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_236950,c_237943,c_235040]) ).
tff(c_238002,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_237996,c_228]) ).
tff(c_237942,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_237936,c_246]) ).
tff(c_237965,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_237936,c_236392]) ).
tff(c_237966,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_237942,c_406,c_237965]) ).
tff(c_238029,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_237966,c_236948]) ).
tff(c_238030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_238002,c_238029]) ).
tff(c_238031,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_237800]) ).
tff(c_238189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_238104,c_238181,c_238031]) ).
tff(c_238190,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_238102]) ).
tff(c_238047,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_235042,c_234288]) ).
tff(c_238048,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_238047]) ).
tff(c_238089,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_238048,c_154]) ).
tff(c_238192,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_238190,c_238190,c_238089]) ).
tff(c_238203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_238192]) ).
tff(c_238204,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_238047]) ).
tff(c_238416,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_238301,c_238204]) ).
tff(c_238417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_238304,c_238416]) ).
tff(c_238418,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_238215]) ).
tff(c_238424,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_238418,c_228]) ).
tff(c_238524,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_238424,c_236948]) ).
tff(c_238529,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_238524,c_252]) ).
tff(c_238437,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_236392]) ).
tff(c_238458,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_238437,c_236948]) ).
tff(c_238459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_238424,c_238458]) ).
tff(c_238460,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_236392]) ).
tff(c_238497,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_238460]) ).
tff(c_238506,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_238497,c_332]) ).
tff(c_238580,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_238506,c_237797]) ).
tff(c_238525,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_238524,c_178]) ).
tff(c_238581,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_238580,c_238525]) ).
tff(c_238591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_238529,c_238581]) ).
tff(c_238592,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_238460]) ).
tff(c_238599,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_238592,c_252]) ).
tff(c_238607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_238599,c_238424,c_236948]) ).
tff(c_238608,plain,
( ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_233234]) ).
tff(c_240118,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_239755,c_238608]) ).
tff(c_240125,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_240118,c_258]) ).
tff(c_238897,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_238895,c_308]) ).
tff(c_238906,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_238895,c_304]) ).
tff(c_239174,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_238906,c_164528]) ).
tff(c_239175,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_239174]) ).
tff(c_239180,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_239175,c_332]) ).
tff(c_239185,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_238897,c_239180,c_85116]) ).
tff(c_239186,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_239185]) ).
tff(c_239197,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_239186,c_352]) ).
tff(c_238898,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_238895,c_314]) ).
tff(c_239179,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_239175,c_338]) ).
tff(c_239230,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_238898,c_239179,c_233231]) ).
tff(c_239231,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_239230]) ).
tff(c_239242,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_239231,c_239186,c_360]) ).
tff(c_239243,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_239230]) ).
tff(c_239247,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_239243,c_380]) ).
tff(c_239016,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_239171,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_238895,c_239016,c_208]) ).
tff(c_239172,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_239259,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_239247,c_239172]) ).
tff(c_239260,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_239259]) ).
tff(c_239262,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_239260,c_260]) ).
tff(c_239289,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_239262,c_238608]) ).
tff(c_239301,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_239289,c_238895,c_214]) ).
tff(c_239302,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_239259]) ).
tff(c_239309,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_239302,c_232]) ).
tff(c_238907,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_239013,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_238895,c_238907,c_204]) ).
tff(c_239014,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_239316,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_239186,c_239014]) ).
tff(c_239317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_239197,c_239309,c_239316]) ).
tff(c_239318,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_239185]) ).
tff(c_239325,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_239318,c_272]) ).
tff(c_239323,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_239318,c_380]) ).
tff(c_239361,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_238898,c_239179,c_239323,c_233231]) ).
tff(c_239381,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_239361,c_358]) ).
tff(c_239320,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_239318,c_270]) ).
tff(c_238612,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_238886,plain,
op(e0,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_238612,c_194]) ).
tff(c_238887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233232,c_238886]) ).
tff(c_238888,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_239332,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_239175,c_238888]) ).
tff(c_239333,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_239320,c_239332]) ).
tff(c_239334,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_239333]) ).
tff(c_239358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_239334,c_238895,c_202]) ).
tff(c_239359,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_239333]) ).
tff(c_239383,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_239359,c_226]) ).
tff(c_239389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_239325,c_239381,c_239383,c_239014]) ).
tff(c_239390,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_239174]) ).
tff(c_240164,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_240125,c_239390]) ).
tff(c_240171,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_240164,c_378]) ).
tff(c_239901,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_239172]) ).
tff(c_239903,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_239901,c_270]) ).
tff(c_239737,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_238888]) ).
tff(c_239752,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_239737,c_238895,c_202]) ).
tff(c_239753,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_238888]) ).
tff(c_239923,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_239903,c_239753]) ).
tff(c_239924,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_239923]) ).
tff(c_239927,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_239924,c_256]) ).
tff(c_239938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_239755,c_239927,c_238608]) ).
tff(c_239939,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_239923]) ).
tff(c_239945,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_239939,c_226]) ).
tff(c_239966,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_239755,c_238608]) ).
tff(c_239971,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_239966,c_258]) ).
tff(c_239768,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_239014]) ).
tff(c_239775,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_239768,c_266]) ).
tff(c_239776,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_239768,c_272]) ).
tff(c_239785,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_239776,c_239172]) ).
tff(c_239786,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_239785]) ).
tff(c_239788,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_239786,c_260]) ).
tff(c_239830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_239755,c_239788,c_238608]) ).
tff(c_239831,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_239785]) ).
tff(c_239836,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_239831,c_230]) ).
tff(c_239845,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_239775,c_239836,c_239753]) ).
tff(c_239848,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_239845,c_256]) ).
tff(c_239868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_239755,c_239848,c_238608]) ).
tff(c_239869,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_239014]) ).
tff(c_239991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_239945,c_239971,c_239869]) ).
tff(c_239993,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_239172]) ).
tff(c_239392,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_238897,c_85116]) ).
tff(c_239393,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_239392]) ).
tff(c_239551,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_239393,c_330]) ).
tff(c_239550,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_238895,c_214]) ).
tff(c_239398,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_239393,c_340]) ).
tff(c_239434,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_238898,c_239398,c_233231]) ).
tff(c_239435,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_239434]) ).
tff(c_239439,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_239435,c_358]) ).
tff(c_239450,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_238895,c_214]) ).
tff(c_239519,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_239450,c_238608]) ).
tff(c_239533,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_239519,c_239435,c_180]) ).
tff(c_239534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_239439,c_239533]) ).
tff(c_239535,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_239434]) ).
tff(c_239539,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_239535,c_380]) ).
tff(c_239569,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_239539,c_239172]) ).
tff(c_239570,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_239569]) ).
tff(c_239573,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_239570,c_260]) ).
tff(c_239583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_239550,c_239573,c_238608]) ).
tff(c_239584,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_239569]) ).
tff(c_239627,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_239584,c_239393,c_168]) ).
tff(c_239628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_239551,c_239627]) ).
tff(c_239629,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_239392]) ).
tff(c_240148,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_239993,c_239629]) ).
tff(c_240154,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_240148,c_360]) ).
tff(c_239631,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_238898,c_233231]) ).
tff(c_239632,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_239631]) ).
tff(c_239733,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_233156,c_239632,c_170]) ).
tff(c_239734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_239733]) ).
tff(c_239735,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_239631]) ).
tff(c_240177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240171,c_240154,c_239735]) ).
tff(c_240178,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_248481,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_247405,c_240178]) ).
tff(c_248482,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_248481]) ).
tff(c_248483,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_248482]) ).
tff(c_248491,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_248483,c_244]) ).
tff(c_248489,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_248483,c_248]) ).
tff(c_248490,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_248483,c_242]) ).
tff(c_247488,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_238888]) ).
tff(c_247491,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_247488,c_216]) ).
tff(c_247690,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_247405,c_240178]) ).
tff(c_247691,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_247690]) ).
tff(c_247692,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_247691]) ).
tff(c_247695,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_247692,c_254]) ).
tff(c_247775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_247491,c_247695,c_238608]) ).
tff(c_247776,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_247691]) ).
tff(c_247624,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_247488,c_154]) ).
tff(c_247779,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_247776,c_247776,c_247624]) ).
tff(c_247789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_247779]) ).
tff(c_247790,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_238888]) ).
tff(c_248502,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_248490,c_247790]) ).
tff(c_248503,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_248502]) ).
tff(c_248509,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_248503,c_270]) ).
tff(c_240179,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_247417,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_247484,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_247405,c_247417,c_158]) ).
tff(c_247485,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240179,c_247484]) ).
tff(c_247486,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_248530,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_248509,c_248489,c_247486]) ).
tff(c_248505,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_248503,c_168]) ).
tff(c_248531,plain,
op(e1,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_248530,c_248505]) ).
tff(c_248541,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_248503,c_248531]) ).
tff(c_248543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_248541]) ).
tff(c_248544,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_248502]) ).
tff(c_248552,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_248544,c_230]) ).
tff(c_248567,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_248489,c_248552,c_247486]) ).
tff(c_248573,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_248567,c_368]) ).
tff(c_242288,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_242293,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_242288,c_220]) ).
tff(c_240180,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_240179,c_208864]) ).
tff(c_240181,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_240180]) ).
tff(c_242390,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_328]) ).
tff(c_242060,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_238888]) ).
tff(c_242061,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_242060]) ).
tff(c_242062,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_242061]) ).
tff(c_242081,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_242062,c_240181,c_322]) ).
tff(c_242083,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_242061]) ).
tff(c_241547,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_242094,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_241547,c_240178]) ).
tff(c_242095,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_242094]) ).
tff(c_242096,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_242095]) ).
tff(c_242102,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_242096,c_244]) ).
tff(c_242087,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_324]) ).
tff(c_240998,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_238888]) ).
tff(c_240999,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_240998]) ).
tff(c_241000,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_240999]) ).
tff(c_241028,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_241000,c_240181,c_322]) ).
tff(c_241030,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_240999]) ).
tff(c_240188,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_241072,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240188,c_240178]) ).
tff(c_241073,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_241072]) ).
tff(c_241074,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_241073]) ).
tff(c_241080,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_241074,c_268]) ).
tff(c_240193,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_240188,c_318]) ).
tff(c_240182,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_334]) ).
tff(c_241033,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_240193,c_240182,c_233231]) ).
tff(c_241034,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_241033]) ).
tff(c_241035,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_241034,c_360]) ).
tff(c_240192,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_240188,c_312]) ).
tff(c_240941,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_240192,c_85116]) ).
tff(c_240942,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_240941]) ).
tff(c_240995,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_240942,c_328]) ).
tff(c_240996,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_240941]) ).
tff(c_241209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241080,c_241035,c_240996]) ).
tff(c_241210,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_241073]) ).
tff(c_241062,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_162]) ).
tff(c_241213,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_241210,c_241062]) ).
tff(c_241223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241030,c_241213]) ).
tff(c_241224,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_241033]) ).
tff(c_241228,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_241224,c_380]) ).
tff(c_241249,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240188,c_240178]) ).
tff(c_241250,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_241249]) ).
tff(c_241251,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_241250]) ).
tff(c_241255,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_241251,c_264]) ).
tff(c_240198,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_240202,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_240198,c_218]) ).
tff(c_240343,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_202]) ).
tff(c_240349,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240188,c_240178]) ).
tff(c_240350,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_240349]) ).
tff(c_240351,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_240350]) ).
tff(c_240357,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_240351,c_268]) ).
tff(c_240306,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_240193,c_240182,c_233231]) ).
tff(c_240307,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_240306]) ).
tff(c_240342,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_240307,c_360]) ).
tff(c_240238,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_240192,c_85116]) ).
tff(c_240239,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_240238]) ).
tff(c_240300,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_240239,c_328]) ).
tff(c_240301,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_240238]) ).
tff(c_240464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240357,c_240342,c_240301]) ).
tff(c_240465,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_240350]) ).
tff(c_240530,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_240465,c_240181,c_154]) ).
tff(c_240531,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_240530,c_240530,c_164]) ).
tff(c_240540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240343,c_240531]) ).
tff(c_240541,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_240306]) ).
tff(c_240545,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_240541,c_380]) ).
tff(c_240208,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_240235,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_240208,c_240198,c_212]) ).
tff(c_240236,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_240583,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_240545,c_240236]) ).
tff(c_240584,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_240583]) ).
tff(c_240587,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_240584,c_260]) ).
tff(c_240616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240202,c_240587,c_238608]) ).
tff(c_240617,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_240583]) ).
tff(c_240625,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240617,c_228]) ).
tff(c_240632,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240188,c_240178]) ).
tff(c_240633,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_240625,c_240632]) ).
tff(c_240636,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_240633,c_262]) ).
tff(c_240650,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_240202,c_238608]) ).
tff(c_240655,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_240650,c_256]) ).
tff(c_240556,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_238888]) ).
tff(c_240557,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_240556]) ).
tff(c_240558,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_240557]) ).
tff(c_240577,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_240558,c_240181,c_322]) ).
tff(c_240578,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_240557]) ).
tff(c_240705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240636,c_240655,c_240578]) ).
tff(c_240706,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_241282,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_241255,c_240706]) ).
tff(c_241283,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_241282]) ).
tff(c_241285,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_241283,c_352]) ).
tff(c_241387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241228,c_241285,c_240996]) ).
tff(c_241388,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_241282]) ).
tff(c_241396,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_241388,c_232]) ).
tff(c_240822,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_202]) ).
tff(c_240834,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240188,c_240178]) ).
tff(c_240835,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_240834]) ).
tff(c_240836,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_240835]) ).
tff(c_240711,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_240884,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_240836,c_240836,c_240711,c_158]) ).
tff(c_240885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_240884]) ).
tff(c_240886,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_240835]) ).
tff(c_240927,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_240886,c_240181,c_154]) ).
tff(c_240928,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_240927,c_240927,c_164]) ).
tff(c_240937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240822,c_240928]) ).
tff(c_240938,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_241412,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_241228,c_241396,c_240938]) ).
tff(c_241420,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_241412,c_372]) ).
tff(c_241487,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_241228,c_240996]) ).
tff(c_241500,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_241487,c_241412,c_186]) ).
tff(c_241503,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_241500,c_241500,c_176]) ).
tff(c_241510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241420,c_241503]) ).
tff(c_241511,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_241250]) ).
tff(c_241543,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_241511,c_240181,c_162]) ).
tff(c_241544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241030,c_241543]) ).
tff(c_241545,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_242113,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_242102,c_242087,c_241545]) ).
tff(c_242116,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_242113,c_252]) ).
tff(c_241811,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_238888]) ).
tff(c_241812,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_241811]) ).
tff(c_241813,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_241812]) ).
tff(c_241852,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_241813,c_322]) ).
tff(c_241854,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_241812]) ).
tff(c_241801,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_241806,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_241801,c_218]) ).
tff(c_241885,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_241547,c_240178]) ).
tff(c_241886,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_241885]) ).
tff(c_241887,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_241886]) ).
tff(c_241890,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_241887,c_254]) ).
tff(c_241954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241806,c_241890,c_238608]) ).
tff(c_241955,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_241886]) ).
tff(c_242023,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_241955,c_162]) ).
tff(c_242024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241854,c_242023]) ).
tff(c_242025,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_242135,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_242102,c_242025]) ).
tff(c_242136,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_242135]) ).
tff(c_242162,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_242136,c_242113,c_178]) ).
tff(c_242163,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_242162,c_242162,c_188]) ).
tff(c_242172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242116,c_242163]) ).
tff(c_242173,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_242135]) ).
tff(c_242121,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_242113,c_372]) ).
tff(c_241623,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_238888]) ).
tff(c_241624,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_241623]) ).
tff(c_241625,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_241624]) ).
tff(c_241656,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_241625,c_240181,c_322]) ).
tff(c_241658,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_241624]) ).
tff(c_241558,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_241563,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_241558,c_220]) ).
tff(c_241692,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_241547,c_240178]) ).
tff(c_241693,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_241692]) ).
tff(c_241694,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_241693]) ).
tff(c_241697,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_241694,c_254]) ).
tff(c_241754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241563,c_241697,c_238608]) ).
tff(c_241755,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_241693]) ).
tff(c_241797,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_241755,c_240181,c_162]) ).
tff(c_241798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241658,c_241797]) ).
tff(c_241799,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_242175,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_242113,c_241799]) ).
tff(c_242176,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_242121,c_412,c_242175]) ).
tff(c_242181,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_242176,c_232]) ).
tff(c_242201,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_242173,c_242181]) ).
tff(c_242202,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_242095]) ).
tff(c_242284,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_242202,c_162]) ).
tff(c_242285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242083,c_242284]) ).
tff(c_242286,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_242519,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_242390,c_242286]) ).
tff(c_242520,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_242519]) ).
tff(c_242528,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_242520,c_372]) ).
tff(c_242398,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_324]) ).
tff(c_242551,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_242528,c_242398,c_241545]) ).
tff(c_242552,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_242551,c_258]) ).
tff(c_242568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242293,c_242552,c_238608]) ).
tff(c_242569,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_242519]) ).
tff(c_242574,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_242569,c_352]) ).
tff(c_242585,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_242574,c_242398,c_241545]) ).
tff(c_242571,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_242569,c_178]) ).
tff(c_242598,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_242585,c_242585,c_242571]) ).
tff(c_242599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_242598]) ).
tff(c_242600,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_243598,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_242600]) ).
tff(c_243603,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_243598,c_380]) ).
tff(c_243606,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_243598,c_372]) ).
tff(c_243435,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_324]) ).
tff(c_243661,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_243606,c_243435,c_241545]) ).
tff(c_243664,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_243661,c_358]) ).
tff(c_243111,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_324]) ).
tff(c_243350,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_243111,c_241545]) ).
tff(c_243351,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_243350]) ).
tff(c_243360,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_243351,c_372]) ).
tff(c_243110,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_328]) ).
tff(c_243365,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_243360,c_243110,c_242286]) ).
tff(c_243352,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_243351,c_178]) ).
tff(c_243379,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_243351,c_243365,c_243352]) ).
tff(c_243380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_243379]) ).
tff(c_243381,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_243350]) ).
tff(c_243399,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_243381,c_258]) ).
tff(c_243419,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_243399,c_238608]) ).
tff(c_243095,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_240182,c_233231]) ).
tff(c_243096,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_243095]) ).
tff(c_243317,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_243096,c_160]) ).
tff(c_243420,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_243419,c_243317]) ).
tff(c_243430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240179,c_243420]) ).
tff(c_243431,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_243095]) ).
tff(c_243712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_243603,c_243664,c_243431]) ).
tff(c_243714,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_242600]) ).
tff(c_243787,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_243435,c_241545]) ).
tff(c_243788,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_243787]) ).
tff(c_243434,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_240181,c_328]) ).
tff(c_243806,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_243714,c_243434,c_242286]) ).
tff(c_243789,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_243788,c_178]) ).
tff(c_243807,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_243806,c_243789]) ).
tff(c_243817,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_243788,c_243807]) ).
tff(c_243819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_243817]) ).
tff(c_243820,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_243787]) ).
tff(c_243823,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_243820,c_352]) ).
tff(c_243835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_243714,c_243823,c_243434,c_242286]) ).
tff(c_243836,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_240180]) ).
tff(c_248590,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_248573,c_243836]) ).
tff(c_248485,plain,
op(op(e4,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_248483,c_172]) ).
tff(c_248592,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_248590,c_248485]) ).
tff(c_248603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248491,c_248592]) ).
tff(c_248604,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_248482]) ).
tff(c_248612,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_248604,c_224]) ).
tff(c_248773,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_243836]) ).
tff(c_247953,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_247405,c_158]) ).
tff(c_248775,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_248773,c_248773,c_247953]) ).
tff(c_248786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_248775]) ).
tff(c_248787,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_243836]) ).
tff(c_248797,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_248787,c_344]) ).
tff(c_246007,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_246012,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_246007,c_218]) ).
tff(c_247325,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_246012,c_238608]) ).
tff(c_247332,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_247325,c_260]) ).
tff(c_246017,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_246042,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_246017,c_246007,c_212]) ).
tff(c_246043,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_247022,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_246043]) ).
tff(c_247028,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_247022,c_368]) ).
tff(c_247106,plain,
( ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_246007,c_243836]) ).
tff(c_247107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_247028,c_404,c_247106]) ).
tff(c_247108,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_246043]) ).
tff(c_247344,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_247332,c_247108]) ).
tff(c_247352,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_247344,c_228]) ).
tff(c_247329,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_247325,c_254]) ).
tff(c_246604,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_240178]) ).
tff(c_246611,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_246604,c_308]) ).
tff(c_246849,plain,
( ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_246007,c_243836]) ).
tff(c_246850,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_246849]) ).
tff(c_246617,plain,
op(e1,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_246604,c_158]) ).
tff(c_246852,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_246850,c_246617]) ).
tff(c_246865,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_246852,c_246852,c_188]) ).
tff(c_246873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246611,c_246865]) ).
tff(c_246874,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_240178]) ).
tff(c_247402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_247352,c_247329,c_246874]) ).
tff(c_247403,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_247962,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_247403]) ).
tff(c_247970,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_247962,c_272]) ).
tff(c_247969,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_247962,c_266]) ).
tff(c_248142,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_247405,c_240178]) ).
tff(c_248143,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_248142]) ).
tff(c_248144,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_248143]) ).
tff(c_248149,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_248144,c_248]) ).
tff(c_248150,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_248144,c_242]) ).
tff(c_248162,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_247969,c_248150,c_247790]) ).
tff(c_248169,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_248162,c_230]) ).
tff(c_248193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_247970,c_248149,c_248169,c_247486]) ).
tff(c_248194,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_248143]) ).
tff(c_248203,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_248194,c_222]) ).
tff(c_248214,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_247969,c_248203,c_247790]) ).
tff(c_248220,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_248214,c_250]) ).
tff(c_248200,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_248194,c_228]) ).
tff(c_248237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_247970,c_248220,c_248200,c_247486]) ).
tff(c_248238,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_247403]) ).
tff(c_248906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248612,c_248797,c_248238]) ).
tff(c_248907,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_252098,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_248907]) ).
tff(c_252104,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252098,c_272]) ).
tff(c_252102,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252098,c_380]) ).
tff(c_252105,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252098,c_372]) ).
tff(c_243838,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_245862,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_243838,c_240178]) ).
tff(c_245863,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_245862]) ).
tff(c_245864,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_245863]) ).
tff(c_245868,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_245864,c_262]) ).
tff(c_245867,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_245864,c_268]) ).
tff(c_245869,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_245864,c_264]) ).
tff(c_243841,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_243838,c_244]) ).
tff(c_243849,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_244136,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_243838,c_243849,c_172]) ).
tff(c_244138,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_244136,c_244136,c_152]) ).
tff(c_244146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_243841,c_244138]) ).
tff(c_244147,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_245878,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_245869,c_244147]) ).
tff(c_245879,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_245878]) ).
tff(c_245887,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_245879,c_246]) ).
tff(c_245884,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_245879,c_252]) ).
tff(c_245264,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_245482,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_245264,c_243836]) ).
tff(c_245483,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_245482]) ).
tff(c_245496,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_245483,c_245483,c_243838,c_156]) ).
tff(c_245497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_245496]) ).
tff(c_245498,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_245892,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_245867,c_245884,c_245498]) ).
tff(c_245896,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_245892,c_230]) ).
tff(c_245501,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_238888]) ).
tff(c_245541,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_243838,c_240178]) ).
tff(c_245542,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_245541]) ).
tff(c_245543,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_245542]) ).
tff(c_245547,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_245543,c_268]) ).
tff(c_245679,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_243836]) ).
tff(c_245642,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_245543,c_182]) ).
tff(c_245681,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_245679,c_245642]) ).
tff(c_245691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_245547,c_245681]) ).
tff(c_245692,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_243836]) ).
tff(c_245669,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_243838,c_156]) ).
tff(c_245694,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_245692,c_245692,c_245669]) ).
tff(c_245704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_245694]) ).
tff(c_245705,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_245542]) ).
tff(c_245790,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_245501,c_245705,c_245501,c_162]) ).
tff(c_245791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_245790]) ).
tff(c_245792,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_238888]) ).
tff(c_245905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_245868,c_245887,c_245896,c_245792]) ).
tff(c_245906,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_245878]) ).
tff(c_245914,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_245906,c_232]) ).
tff(c_245920,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_245867,c_245914,c_245498]) ).
tff(c_245925,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_245920,c_250]) ).
tff(c_245910,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_245906,c_226]) ).
tff(c_245933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_245868,c_245925,c_245910,c_245792]) ).
tff(c_245934,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_245863]) ).
tff(c_245941,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_245934,c_224]) ).
tff(c_245949,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_245941,c_244147]) ).
tff(c_245950,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_245949]) ).
tff(c_245957,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_245950,c_266]) ).
tff(c_245958,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_245950,c_272]) ).
tff(c_245939,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_245934,c_228]) ).
tff(c_245963,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_245958,c_245939,c_245498]) ).
tff(c_245968,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_245963,c_250]) ).
tff(c_245942,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_245934,c_222]) ).
tff(c_245976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_245957,c_245968,c_245942,c_245792]) ).
tff(c_245977,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_245949]) ).
tff(c_245983,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_245977,c_252]) ).
tff(c_245991,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_245983,c_245939,c_245498]) ).
tff(c_245993,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_245991,c_270]) ).
tff(c_245986,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_245977,c_246]) ).
tff(c_246004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_245993,c_245986,c_245942,c_245792]) ).
tff(c_246005,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_252219,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252105,c_246005]) ).
tff(c_252220,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_252219]) ).
tff(c_252222,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_252220,c_358]) ).
tff(c_250333,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_248907]) ).
tff(c_250339,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_250333,c_272]) ).
tff(c_250340,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_250333,c_372]) ).
tff(c_250494,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_250340,c_246005]) ).
tff(c_250495,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_250494]) ).
tff(c_250499,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_250495,c_258]) ).
tff(c_250555,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_250499,c_238608]) ).
tff(c_249416,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_233231]) ).
tff(c_250346,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_249416,c_160]) ).
tff(c_250557,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_250555,c_250346]) ).
tff(c_250567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240179,c_250557]) ).
tff(c_250569,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_250494]) ).
tff(c_250334,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_250333,c_268]) ).
tff(c_250385,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_250334,c_240178]) ).
tff(c_250386,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_250385]) ).
tff(c_250389,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_250386,c_254]) ).
tff(c_250463,plain,
op(e4,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_250389,c_238608]) ).
tff(c_250464,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_250463,c_250346]) ).
tff(c_250474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240179,c_250464]) ).
tff(c_250475,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_250385]) ).
tff(c_250483,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_250475,c_224]) ).
tff(c_250591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250339,c_250569,c_250483,c_247403]) ).
tff(c_250593,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_248907]) ).
tff(c_248911,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_248916,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_248911,c_220]) ).
tff(c_249383,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_248916,c_238608]) ).
tff(c_249388,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_249383,c_254]) ).
tff(c_249207,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_240178]) ).
tff(c_248965,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_248911,c_158]) ).
tff(c_249209,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_249207,c_249207,c_248965]) ).
tff(c_249219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_249209]) ).
tff(c_249220,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_240178]) ).
tff(c_249398,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_249388,c_249220]) ).
tff(c_249407,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_249398,c_222]) ).
tff(c_249391,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_249383,c_256]) ).
tff(c_249301,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_248911,c_243836]) ).
tff(c_249302,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_249301]) ).
tff(c_249309,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_249302,c_348]) ).
tff(c_248935,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_238888]) ).
tff(c_248950,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_248935,c_248911,c_210]) ).
tff(c_248951,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_238888]) ).
tff(c_249317,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_248951]) ).
tff(c_248986,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_248907]) ).
tff(c_248992,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_248986,c_272]) ).
tff(c_248989,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_248986,c_270]) ).
tff(c_248993,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_248986,c_372]) ).
tff(c_249087,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_248993,c_246005]) ).
tff(c_249088,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_249087]) ).
tff(c_249096,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_249088,c_246]) ).
tff(c_248988,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_248986,c_268]) ).
tff(c_249007,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_248988,c_240178]) ).
tff(c_249008,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_249007]) ).
tff(c_249014,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_249008,c_244]) ).
tff(c_249026,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_248993,c_249014,c_246005]) ).
tff(c_249029,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_249026,c_326]) ).
tff(c_249054,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_248992,c_249014,c_247403]) ).
tff(c_249028,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_249026,c_166]) ).
tff(c_249056,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_249054,c_249028]) ).
tff(c_249066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_249029,c_249056]) ).
tff(c_249067,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_249007]) ).
tff(c_249077,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_249067,c_222]) ).
tff(c_249144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248989,c_249096,c_249077,c_248951]) ).
tff(c_249146,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_249087]) ).
tff(c_249076,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_249067,c_224]) ).
tff(c_249168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248992,c_249146,c_249076,c_247403]) ).
tff(c_249169,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_248907]) ).
tff(c_249371,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_249317,c_249169]) ).
tff(c_249372,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_249309,c_249371]) ).
tff(c_249373,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_248951]) ).
tff(c_249413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_249407,c_249391,c_249373]) ).
tff(c_249414,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_250622,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_250593,c_249414]) ).
tff(c_250623,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_250622]) ).
tff(c_250625,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_250623,c_252]) ).
tff(c_250667,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_250623,c_246005]) ).
tff(c_250668,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_250625,c_250667]) ).
tff(c_250672,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_250668,c_326]) ).
tff(c_250626,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_250623,c_248]) ).
tff(c_250636,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_250626,c_240178]) ).
tff(c_250637,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_250636]) ).
tff(c_250640,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_250637,c_264]) ).
tff(c_250695,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_250640,c_250625,c_247403]) ).
tff(c_250669,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_250668,c_166]) ).
tff(c_250696,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_250695,c_250669]) ).
tff(c_250706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250672,c_250696]) ).
tff(c_250707,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_250636]) ).
tff(c_250716,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_250707,c_224]) ).
tff(c_250762,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_250625,c_250716,c_247403]) ).
tff(c_250789,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_250762,c_250762,c_250623,c_178]) ).
tff(c_250790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_250789]) ).
tff(c_250791,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_250622]) ).
tff(c_251009,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_250791,c_230]) ).
tff(c_251032,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_238608]) ).
tff(c_251075,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_251032,c_249416,c_160]) ).
tff(c_251076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240179,c_251075]) ).
tff(c_251077,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_238608]) ).
tff(c_251099,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_251077,c_256]) ).
tff(c_249430,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_238888]) ).
tff(c_249436,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_249430,c_216]) ).
tff(c_250026,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_249436,c_238608]) ).
tff(c_250032,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_250026,c_258]) ).
tff(c_249479,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_247403]) ).
tff(c_249487,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_249479,c_272]) ).
tff(c_249585,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_249479,c_248907]) ).
tff(c_249586,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_249487,c_412,c_249585]) ).
tff(c_249590,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_249586,c_330]) ).
tff(c_249480,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_249479,c_264]) ).
tff(c_249614,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_249487,c_249414]) ).
tff(c_249615,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_249614]) ).
tff(c_249619,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_249615,c_248]) ).
tff(c_249629,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_249480,c_249619,c_240178]) ).
tff(c_249474,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_249430,c_154]) ).
tff(c_249630,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_249629,c_249629,c_249474]) ).
tff(c_249641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_249630]) ).
tff(c_249642,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_249614]) ).
tff(c_249588,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_249586,c_168]) ).
tff(c_249644,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_249642,c_249588]) ).
tff(c_249654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_249590,c_249644]) ).
tff(c_249655,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_247403]) ).
tff(c_250087,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_250032,c_249655]) ).
tff(c_250095,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_250087,c_224]) ).
tff(c_250030,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_250026,c_254]) ).
tff(c_249814,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_240178]) ).
tff(c_249818,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_249814,c_268]) ).
tff(c_249842,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_249818,c_249414]) ).
tff(c_249843,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_249842]) ).
tff(c_249847,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_249843,c_260]) ).
tff(c_249891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_249436,c_249847,c_238608]) ).
tff(c_249892,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_249842]) ).
tff(c_249899,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_249892,c_230]) ).
tff(c_249908,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_249818,c_248907]) ).
tff(c_249909,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_249908]) ).
tff(c_249916,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_249909,c_348]) ).
tff(c_249959,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_249916,c_243836]) ).
tff(c_249837,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_249814,c_182]) ).
tff(c_249961,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_249959,c_249837]) ).
tff(c_249971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_249818,c_249961]) ).
tff(c_249972,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_249908]) ).
tff(c_249895,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_249892,c_168]) ).
tff(c_249986,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_249972,c_249895]) ).
tff(c_249987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_249899,c_249986]) ).
tff(c_249988,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_240178]) ).
tff(c_250100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250095,c_250030,c_249988]) ).
tff(c_250101,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_238888]) ).
tff(c_250104,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_250101]) ).
tff(c_250108,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_250104,c_270]) ).
tff(c_250110,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_250104,c_266]) ).
tff(c_250121,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_250110,c_247403]) ).
tff(c_250122,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_250121]) ).
tff(c_250126,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_250122,c_252]) ).
tff(c_250107,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_250104,c_262]) ).
tff(c_250130,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_250122,c_244]) ).
tff(c_250171,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_250107,c_250130,c_240178]) ).
tff(c_250176,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_250171,c_228]) ).
tff(c_250197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250108,c_250126,c_250176,c_249414]) ).
tff(c_250198,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_250121]) ).
tff(c_250204,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_250198,c_346]) ).
tff(c_250206,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_250198,c_232]) ).
tff(c_250199,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_250121]) ).
tff(c_250212,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_250199,c_246005]) ).
tff(c_250213,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_250212]) ).
tff(c_250266,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_250213,c_249414]) ).
tff(c_250267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250108,c_412,c_250206,c_250266]) ).
tff(c_250268,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_250212]) ).
tff(c_250320,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_250268,c_250198,c_174]) ).
tff(c_250321,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_250320,c_250320,c_164]) ).
tff(c_250330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250204,c_250321]) ).
tff(c_250331,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_250101]) ).
tff(c_251106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251009,c_251099,c_250331]) ).
tff(c_251107,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233231]) ).
tff(c_252278,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_252102,c_252222,c_251107]) ).
tff(c_252273,plain,
op(e0,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_194]) ).
tff(c_252279,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252278,c_252278,c_252273]) ).
tff(c_252291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_252279]) ).
tff(c_252293,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_252219]) ).
tff(c_252099,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252098,c_268]) ).
tff(c_252149,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252099,c_240178]) ).
tff(c_252150,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_252149]) ).
tff(c_252157,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_252150,c_244]) ).
tff(c_252165,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_252105,c_252157,c_246005]) ).
tff(c_252168,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_252165,c_326]) ).
tff(c_252191,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_252104,c_252157,c_247403]) ).
tff(c_252167,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_252165,c_166]) ).
tff(c_252192,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_252191,c_252167]) ).
tff(c_252202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252168,c_252192]) ).
tff(c_252203,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_252149]) ).
tff(c_252211,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_252203,c_224]) ).
tff(c_252315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252104,c_252293,c_252211,c_247403]) ).
tff(c_252317,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_248907]) ).
tff(c_252351,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252317,c_249414]) ).
tff(c_252352,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_252351]) ).
tff(c_252355,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_252352,c_252]) ).
tff(c_252391,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252352,c_246005]) ).
tff(c_252392,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_252355,c_252391]) ).
tff(c_252395,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_252392,c_326]) ).
tff(c_252356,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_252352,c_248]) ).
tff(c_252366,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252356,c_240178]) ).
tff(c_252367,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_252366]) ).
tff(c_252372,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252367,c_264]) ).
tff(c_252418,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_252372,c_252355,c_247403]) ).
tff(c_252394,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_252392,c_166]) ).
tff(c_252419,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_252418,c_252394]) ).
tff(c_252429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252395,c_252419]) ).
tff(c_252430,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_252366]) ).
tff(c_252438,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_252430,c_224]) ).
tff(c_252482,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_252355,c_252438,c_247403]) ).
tff(c_252353,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_252352,c_178]) ).
tff(c_252483,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_252482,c_252482,c_252353]) ).
tff(c_252493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_252483]) ).
tff(c_252494,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_252351]) ).
tff(c_252502,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_252494,c_228]) ).
tff(c_252509,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252502,c_240178]) ).
tff(c_252510,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_252509]) ).
tff(c_252518,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252510,c_262]) ).
tff(c_252515,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252510,c_264]) ).
tff(c_252501,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_252494,c_232]) ).
tff(c_252633,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_252515,c_252501,c_247403]) ).
tff(c_252641,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_252633,c_246]) ).
tff(c_252500,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_252494,c_230]) ).
tff(c_251110,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_238888]) ).
tff(c_251118,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_251110,c_216]) ).
tff(c_251873,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_240178]) ).
tff(c_251879,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_251873,c_268]) ).
tff(c_251124,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_251107]) ).
tff(c_251132,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_251124,c_374]) ).
tff(c_251127,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_251124,c_380]) ).
tff(c_251130,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_251124,c_378]) ).
tff(c_251306,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_251130,c_246005]) ).
tff(c_251307,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_251306]) ).
tff(c_251311,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_251307,c_252]) ).
tff(c_251349,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_251127,c_251311,c_249414]) ).
tff(c_251358,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_251349,c_370]) ).
tff(c_251309,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_251307,c_352]) ).
tff(c_251376,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_251127,c_251309,c_248907]) ).
tff(c_251350,plain,
op(e3,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_251349,c_184]) ).
tff(c_251377,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_251376,c_251350]) ).
tff(c_251391,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_251377,c_251377,c_164]) ).
tff(c_251399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251358,c_251391]) ).
tff(c_251400,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_251306]) ).
tff(c_251410,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_251400,c_332]) ).
tff(c_251471,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_251127,c_251410,c_248907]) ).
tff(c_251476,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_251471,c_348]) ).
tff(c_251501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251132,c_251476,c_243836]) ).
tff(c_251502,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_251107]) ).
tff(c_251945,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_251502]) ).
tff(c_251868,plain,
op(op(e0,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_170]) ).
tff(c_251946,plain,
op(e3,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_251945,c_251868]) ).
tff(c_251956,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_233156,c_251946]) ).
tff(c_251958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_251956]) ).
tff(c_251959,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_251502]) ).
tff(c_251964,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_251959,c_354]) ).
tff(c_251975,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_251964,c_243836]) ).
tff(c_251875,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_251873,c_182]) ).
tff(c_251978,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_251975,c_251875]) ).
tff(c_251987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251879,c_251978]) ).
tff(c_251988,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_240178]) ).
tff(c_252014,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_251988]) ).
tff(c_251508,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_251110,c_154]) ).
tff(c_252016,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_252014,c_252014,c_251508]) ).
tff(c_252026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_252016]) ).
tff(c_252027,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_251988]) ).
tff(c_252045,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_252027,c_254]) ).
tff(c_252067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251118,c_252045,c_238608]) ).
tff(c_252068,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_238888]) ).
tff(c_252687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252518,c_252641,c_252500,c_252068]) ).
tff(c_252688,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_252509]) ).
tff(c_252696,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_252688,c_244]) ).
tff(c_252770,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_252696,c_252501,c_247403]) ).
tff(c_252778,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252770,c_266]) ).
tff(c_252704,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252696,c_246005]) ).
tff(c_252705,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_252704]) ).
tff(c_252710,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252705,c_252]) ).
tff(c_252731,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_252696,c_252501,c_247403]) ).
tff(c_252708,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_252705,c_178]) ).
tff(c_252732,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_252731,c_252708]) ).
tff(c_252746,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_252732,c_252732,c_188]) ).
tff(c_252754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252710,c_252746]) ).
tff(c_252755,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_252704]) ).
tff(c_252825,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252755,c_252068]) ).
tff(c_252826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252778,c_406,c_252500,c_252825]) ).
tff(c_252827,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_422634,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_422340,c_252827]) ).
tff(c_422635,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_422634]) ).
tff(c_422639,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422635,c_230]) ).
tff(c_422342,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_422338,c_314]) ).
tff(c_422640,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422635,c_336]) ).
tff(c_422653,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422635,c_326]) ).
tff(c_422679,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_422339,c_422653,c_164528]) ).
tff(c_422680,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_422679]) ).
tff(c_422681,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_422680,c_358]) ).
tff(c_422686,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_422680,c_252]) ).
tff(c_422693,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_422650,c_422639,c_422686,c_233154]) ).
tff(c_422697,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_422693,c_380]) ).
tff(c_396330,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_365449,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_396131,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_202]) ).
tff(c_365451,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_302]) ).
tff(c_365782,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_365451,c_252827]) ).
tff(c_365783,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_365782]) ).
tff(c_365787,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_230]) ).
tff(c_363974,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_363964,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_364034,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_363974,c_363964,c_208]) ).
tff(c_364036,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_364898,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_363964,c_208864]) ).
tff(c_364899,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_364036,c_408,c_364898]) ).
tff(c_364900,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_364899]) ).
tff(c_364984,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_364900,c_322]) ).
tff(c_252829,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_434]) ).
tff(c_252838,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_296]) ).
tff(c_252839,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_438]) ).
tff(c_252840,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_252839]) ).
tff(c_254089,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_330]) ).
tff(c_253858,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_208864]) ).
tff(c_253860,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_253858,c_302]) ).
tff(c_253861,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_253858,c_308]) ).
tff(c_252855,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_270]) ).
tff(c_253919,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_253920,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_253861,c_410,c_252855,c_253919]) ).
tff(c_253922,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_253920,c_350]) ).
tff(c_253934,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_253860,c_253922,c_252827]) ).
tff(c_253935,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_253934]) ).
tff(c_253940,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_253935,c_230]) ).
tff(c_253926,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_253920,c_352]) ).
tff(c_253947,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_253935,c_326]) ).
tff(c_253421,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_253427,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_253421,c_312]) ).
tff(c_253778,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_253779,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_253427,c_410,c_252855,c_253778]) ).
tff(c_253782,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_253779,c_350]) ).
tff(c_253424,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_253421,c_304]) ).
tff(c_253426,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_253421,c_306]) ).
tff(c_253730,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_253426,c_252827]) ).
tff(c_253731,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_253730]) ).
tff(c_253736,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_253731,c_222]) ).
tff(c_253757,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_253421,c_50475]) ).
tff(c_253758,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_253424,c_253736,c_404,c_253757]) ).
tff(c_253773,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_253758,c_252840,c_262]) ).
tff(c_253774,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_253730]) ).
tff(c_253841,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_253782,c_253774]) ).
tff(c_253832,plain,
op(op(e3,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_184]) ).
tff(c_253842,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_253841,c_253832]) ).
tff(c_253853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252855,c_253842]) ).
tff(c_253854,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_253967,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_253926,c_253947,c_253854]) ).
tff(c_252856,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_252855,c_233154]) ).
tff(c_252857,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_252856]) ).
tff(c_252868,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_252942,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_252857,c_252868,c_208]) ).
tff(c_252944,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_253092,plain,
op(e4,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_252857,c_212]) ).
tff(c_252854,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_266]) ).
tff(c_253096,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_253092,c_252854,c_130109]) ).
tff(c_253097,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_253096]) ).
tff(c_253102,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_253097,c_226]) ).
tff(c_253110,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_253097,c_252827]) ).
tff(c_253111,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_253102,c_406,c_253110]) ).
tff(c_253112,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_253111]) ).
tff(c_253083,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252857,c_208864]) ).
tff(c_253084,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_252944,c_408,c_253083]) ).
tff(c_253085,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_253084]) ).
tff(c_253150,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_253112,c_253112,c_253085,c_162]) ).
tff(c_253151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_253150]) ).
tff(c_253152,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_253111]) ).
tff(c_253193,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_253152,c_366]) ).
tff(c_253154,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_253155,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_252855,c_253154]) ).
tff(c_253156,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_253155]) ).
tff(c_253187,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_253156,c_252857,c_158]) ).
tff(c_253188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252944,c_253187]) ).
tff(c_253189,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_253155]) ).
tff(c_253208,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_253189,c_352]) ).
tff(c_253231,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_253085,c_324]) ).
tff(c_252945,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_252951,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_252945,c_312]) ).
tff(c_253000,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_253001,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_252951,c_410,c_252855,c_253000]) ).
tff(c_253006,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_253001,c_352]) ).
tff(c_252957,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_262]) ).
tff(c_252943,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_253050,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252945,c_252943]) ).
tff(c_253051,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_252957,c_404,c_253050]) ).
tff(c_253056,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_253051,c_224]) ).
tff(c_252970,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_252854,c_130109]) ).
tff(c_252971,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_252970]) ).
tff(c_252997,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_252971,c_252857,c_212]) ).
tff(c_252998,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_252970]) ).
tff(c_253077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_253006,c_253056,c_252998]) ).
tff(c_253078,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_253234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_253193,c_253208,c_253231,c_253078]) ).
tff(c_253235,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_253096]) ).
tff(c_253239,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_253235,c_352]) ).
tff(c_253271,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_253272,plain,
op(e1,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_253239,c_252855,c_253271]) ).
tff(c_253302,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_253272,c_252857,c_158]) ).
tff(c_253303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252944,c_253302]) ).
tff(c_253304,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_253084]) ).
tff(c_253306,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_253304,c_348]) ).
tff(c_253362,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_253363,plain,
op(e1,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_410,c_253306,c_252855,c_253362]) ).
tff(c_253417,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_253363,c_252857,c_158]) ).
tff(c_253418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252944,c_253417]) ).
tff(c_253419,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_252856]) ).
tff(c_253989,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_253967,c_253419]) ).
tff(c_253990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_253940,c_253989]) ).
tff(c_253992,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_253934]) ).
tff(c_253869,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_252854,c_130109]) ).
tff(c_253870,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_253869]) ).
tff(c_253909,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_253870,c_253858,c_204]) ).
tff(c_253910,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_253869]) ).
tff(c_254071,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_253926,c_253910]) ).
tff(c_253991,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_253934]) ).
tff(c_253994,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_253991,c_366]) ).
tff(c_254019,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_253994,c_253926,c_253854]) ).
tff(c_254020,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_254019,c_166]) ).
tff(c_254073,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_254071,c_254020]) ).
tff(c_254083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_253992,c_254073]) ).
tff(c_254085,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_254924,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_254925,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_252855,c_254924]) ).
tff(c_254926,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_254925]) ).
tff(c_254957,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254926,c_50475]) ).
tff(c_254958,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_254085,c_408,c_254957]) ).
tff(c_254959,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_254958]) ).
tff(c_254964,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_254959,c_222]) ).
tff(c_254798,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_254800,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_254798,c_310]) ).
tff(c_254812,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_254813,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_254800,c_410,c_252855,c_254812]) ).
tff(c_254819,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_254813,c_352]) ).
tff(c_253857,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_262]) ).
tff(c_254826,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254798,c_50475]) ).
tff(c_254827,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_254085,c_402,c_253857,c_254826]) ).
tff(c_254833,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_254827,c_248]) ).
tff(c_254907,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_254833,c_253419]) ).
tff(c_254912,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_254907,c_232]) ).
tff(c_254195,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_254085,c_253857,c_50475]) ).
tff(c_254196,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_254195]) ).
tff(c_254202,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_254196,c_222]) ).
tff(c_254090,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_252854,c_130109]) ).
tff(c_254091,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_254090]) ).
tff(c_254084,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_254421,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254091,c_254084]) ).
tff(c_254422,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_254421]) ).
tff(c_254423,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_254422]) ).
tff(c_254429,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_254423,c_362]) ).
tff(c_254200,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_254196,c_228]) ).
tff(c_254238,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254091,c_254084]) ).
tff(c_254239,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_254238]) ).
tff(c_254240,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_254239]) ).
tff(c_254210,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_254211,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_252855,c_254210]) ).
tff(c_254212,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_254211]) ).
tff(c_254229,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_254212,c_158]) ).
tff(c_254241,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_254240,c_254240,c_254229]) ).
tff(c_254251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_254241]) ).
tff(c_254252,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_254239]) ).
tff(c_254258,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_254252,c_324]) ).
tff(c_254274,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_254258,c_253854]) ).
tff(c_254275,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_254274]) ).
tff(c_254325,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254275,c_253419]) ).
tff(c_254326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_254200,c_254325]) ).
tff(c_254327,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_254274]) ).
tff(c_254334,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_254327,c_252]) ).
tff(c_254335,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_254327,c_346]) ).
tff(c_254101,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_254130,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254101,c_50475]) ).
tff(c_254131,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_254085,c_402,c_253857,c_254130]) ).
tff(c_254191,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_254091,c_254131,c_254091,c_172]) ).
tff(c_254192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_254191]) ).
tff(c_254193,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_254341,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_254335,c_254202,c_254193]) ).
tff(c_254370,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254341,c_253419]) ).
tff(c_254371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254334,c_410,c_254370]) ).
tff(c_254372,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_254211]) ).
tff(c_254376,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_254372,c_350]) ).
tff(c_254480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254429,c_254376,c_254202,c_254193]) ).
tff(c_254481,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_254422]) ).
tff(c_254415,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_254196,c_162]) ).
tff(c_254483,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_254481,c_254415]) ).
tff(c_254493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254202,c_254483]) ).
tff(c_254494,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_254195]) ).
tff(c_254496,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_254494,c_244]) ).
tff(c_254689,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_254496,c_253854]) ).
tff(c_254690,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_254689]) ).
tff(c_254697,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_254690,c_366]) ).
tff(c_254559,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_254496,c_253854]) ).
tff(c_254560,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_254559]) ).
tff(c_254591,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254560,c_253419]) ).
tff(c_254592,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_254591]) ).
tff(c_254610,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_254592,c_252840,c_168]) ).
tff(c_254611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_254610]) ).
tff(c_254612,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_254559]) ).
tff(c_254528,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254091,c_254084]) ).
tff(c_254529,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_254528]) ).
tff(c_254530,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_254529]) ).
tff(c_254509,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e1 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_85116]) ).
tff(c_254510,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_252855,c_254509]) ).
tff(c_254511,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_254510]) ).
tff(c_254543,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_254530,c_254530,c_254511,c_158]) ).
tff(c_254544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_254543]) ).
tff(c_254545,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_254529]) ).
tff(c_254551,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_254545,c_324]) ).
tff(c_254670,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_254612,c_254551]) ).
tff(c_254671,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_254510]) ).
tff(c_254675,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_254671,c_350]) ).
tff(c_254694,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_254690,c_364]) ).
tff(c_254711,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254091,c_254084]) ).
tff(c_254712,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_254694,c_404,c_254711]) ).
tff(c_254718,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_254712,c_322]) ).
tff(c_254738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254697,c_254675,c_254718,c_254193]) ).
tff(c_254739,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_254689]) ).
tff(c_254752,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_254739,c_324]) ).
tff(c_254758,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254091,c_254084]) ).
tff(c_254759,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_254752,c_254758]) ).
tff(c_254764,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_254759,c_362]) ).
tff(c_254741,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_254739,c_326]) ).
tff(c_254795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254764,c_254675,c_254741,c_254193]) ).
tff(c_254796,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_254090]) ).
tff(c_254920,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254819,c_254912,c_254796]) ).
tff(c_254921,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_255017,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_254964,c_254921]) ).
tff(c_255018,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_255017]) ).
tff(c_254943,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_252840,c_168]) ).
tff(c_255020,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_255018,c_254943]) ).
tff(c_255032,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_255020,c_255020,c_188]) ).
tff(c_255041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254089,c_255032]) ).
tff(c_255042,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_255017]) ).
tff(c_255049,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_255042,c_346]) ).
tff(c_255071,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_255042,c_254796]) ).
tff(c_255072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_255049,c_406,c_255071]) ).
tff(c_255073,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_254958]) ).
tff(c_255075,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_255073,c_244]) ).
tff(c_255194,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_255075,c_254796]) ).
tff(c_255201,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_255194,c_226]) ).
tff(c_255131,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_254921]) ).
tff(c_255132,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_255131,c_254943]) ).
tff(c_255145,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_255132,c_255132,c_188]) ).
tff(c_255154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254089,c_255145]) ).
tff(c_255155,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_254921]) ).
tff(c_255217,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_255194,c_255155]) ).
tff(c_255218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_255201,c_406,c_255217]) ).
tff(c_255219,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_254925]) ).
tff(c_255222,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_255219,c_350]) ).
tff(c_255224,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_255219,c_348]) ).
tff(c_255325,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255224,c_254084]) ).
tff(c_255326,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_255325]) ).
tff(c_255331,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_255326,c_364]) ).
tff(c_255226,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_255219,c_352]) ).
tff(c_255332,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_255326,c_362]) ).
tff(c_255349,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_255332,c_255222,c_254921]) ).
tff(c_255350,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_255349,c_326]) ).
tff(c_255374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_255331,c_255226,c_255350,c_253854]) ).
tff(c_255375,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_255325]) ).
tff(c_255382,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_255375,c_322]) ).
tff(c_255389,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_255222,c_255382,c_254921]) ).
tff(c_255392,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_255389,c_366]) ).
tff(c_255377,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_255375,c_324]) ).
tff(c_255414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_255392,c_255226,c_255377,c_253854]) ).
tff(c_255415,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_252839]) ).
tff(c_365016,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_364900,c_255415]) ).
tff(c_365017,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_364984,c_365016]) ).
tff(c_365025,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365017,c_246]) ).
tff(c_364233,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_364035,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_364492,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_364233,c_364035]) ).
tff(c_364493,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_364492]) ).
tff(c_364494,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_364493]) ).
tff(c_364511,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_364494,c_364494,c_363964,c_158]) ).
tff(c_364512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_364511]) ).
tff(c_364513,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_364493]) ).
tff(c_364362,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_363964,c_208864]) ).
tff(c_364363,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_364036,c_408,c_364362]) ).
tff(c_364364,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_364363]) ).
tff(c_364379,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_364364,c_328]) ).
tff(c_364037,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_364229,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_363964,c_364037,c_158]) ).
tff(c_364230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_364036,c_364229]) ).
tff(c_364231,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_364394,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_364379,c_364231]) ).
tff(c_364395,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_364394]) ).
tff(c_364400,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_364395,c_272]) ).
tff(c_364296,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_363964,c_208864]) ).
tff(c_364297,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_364036,c_408,c_364296]) ).
tff(c_364298,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_364297]) ).
tff(c_364238,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_364233,c_306]) ).
tff(c_364284,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_364238,c_252827]) ).
tff(c_364285,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_364284]) ).
tff(c_364314,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_364298,c_364285,c_322]) ).
tff(c_364315,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_364297]) ).
tff(c_364358,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_364315,c_364315,c_364233,c_156]) ).
tff(c_364359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_364358]) ).
tff(c_364361,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_364284]) ).
tff(c_364448,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_364364,c_255415]) ).
tff(c_364449,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_364361,c_364448]) ).
tff(c_364457,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_364449,c_246]) ).
tff(c_364396,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_364395,c_268]) ).
tff(c_364417,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_364233,c_364035]) ).
tff(c_364418,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_364396,c_404,c_364417]) ).
tff(c_364423,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_364418,c_224]) ).
tff(c_364246,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_364281,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_364246,c_363964,c_212]) ).
tff(c_364282,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_364477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_364400,c_364457,c_364423,c_364282]) ).
tff(c_364478,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_364394]) ).
tff(c_364483,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_364478,c_352]) ).
tff(c_364515,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_364478,c_364282]) ).
tff(c_364516,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_364483,c_364515]) ).
tff(c_364524,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_364516,c_224]) ).
tff(c_364541,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_364513,c_364524]) ).
tff(c_364542,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_364363]) ).
tff(c_364655,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_364233,c_364233,c_364542,c_172]) ).
tff(c_364656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_364655]) ).
tff(c_364657,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_365131,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365017,c_364657]) ).
tff(c_365132,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_365025,c_406,c_365131]) ).
tff(c_365139,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365132,c_366]) ).
tff(c_364980,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_364900,c_328]) ).
tff(c_365072,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_364980,c_364231]) ).
tff(c_365073,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_365072]) ).
tff(c_365080,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365073,c_372]) ).
tff(c_365103,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365017,c_364657]) ).
tff(c_365104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365080,c_365025,c_406,c_365103]) ).
tff(c_365105,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_365072]) ).
tff(c_365108,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365105,c_350]) ).
tff(c_365022,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365017,c_242]) ).
tff(c_365039,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365022,c_364035]) ).
tff(c_365040,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_365039]) ).
tff(c_364995,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_363964,c_158]) ).
tff(c_365041,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365040,c_365040,c_364995]) ).
tff(c_365052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_365041]) ).
tff(c_365053,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_365039]) ).
tff(c_365119,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_364900,c_365053,c_154]) ).
tff(c_364764,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_363964,c_210]) ).
tff(c_364660,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_364673,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_363964,c_208864]) ).
tff(c_364674,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_364036,c_408,c_364673]) ).
tff(c_364675,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_364674]) ).
tff(c_364723,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_364660,c_364675,c_364660,c_162]) ).
tff(c_364724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_364723]) ).
tff(c_364725,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_364674]) ).
tff(c_364743,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_364725,c_348]) ).
tff(c_364765,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_364743,c_364231]) ).
tff(c_364766,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_364765]) ).
tff(c_364772,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_364766,c_372]) ).
tff(c_364744,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_364725,c_344]) ).
tff(c_364768,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_364766,c_268]) ).
tff(c_364781,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_364660,c_364035]) ).
tff(c_364782,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_364768,c_402,c_364781]) ).
tff(c_364785,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_364782,c_242]) ).
tff(c_364795,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_364764,c_364785,c_255415]) ).
tff(c_364796,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_364795,c_326]) ).
tff(c_364817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_364772,c_364744,c_364796,c_364657]) ).
tff(c_364818,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_364765]) ).
tff(c_364821,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_364818,c_330]) ).
tff(c_364833,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_364660,c_364035]) ).
tff(c_364834,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_364833]) ).
tff(c_364835,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_364834]) ).
tff(c_364877,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_364835,c_364835,c_363964,c_158]) ).
tff(c_364878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_364877]) ).
tff(c_364879,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_364834]) ).
tff(c_364883,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_364879,c_242]) ).
tff(c_364893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_364764,c_364821,c_364883,c_255415]) ).
tff(c_364894,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_365145,plain,
( ( e4 = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365119,c_364894]) ).
tff(c_365146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365139,c_365108,c_402,c_365145]) ).
tff(c_365147,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_364899]) ).
tff(c_365152,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365147,c_342]) ).
tff(c_365177,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_363964,c_210]) ).
tff(c_365151,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365147,c_344]) ).
tff(c_365158,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365147,c_130109]) ).
tff(c_365159,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_365151,c_365158]) ).
tff(c_365160,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_365159]) ).
tff(c_365166,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365160,c_226]) ).
tff(c_365202,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_365177,c_365166,c_255415]) ).
tff(c_365206,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365202,c_242]) ).
tff(c_365168,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365160,c_224]) ).
tff(c_365228,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_365206,c_365168,c_364035]) ).
tff(c_365313,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365228,c_365228,c_363964,c_158]) ).
tff(c_365314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_365313]) ).
tff(c_365315,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_365159]) ).
tff(c_365322,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365315,c_272]) ).
tff(c_365340,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365315,c_364231]) ).
tff(c_365341,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_365322,c_412,c_365340]) ).
tff(c_365343,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365341,c_330]) ).
tff(c_365433,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_365152,c_365343,c_364894]) ).
tff(c_365410,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365341,c_168]) ).
tff(c_365434,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365433,c_365433,c_365410]) ).
tff(c_365445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_365434]) ).
tff(c_365446,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_365873,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365787,c_365446]) ).
tff(c_365874,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_365873]) ).
tff(c_365876,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_268]) ).
tff(c_365879,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_272]) ).
tff(c_365785,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_226]) ).
tff(c_365768,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_365779,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_365768,c_365449,c_204]) ).
tff(c_365780,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_365892,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_365879,c_365785,c_365780]) ).
tff(c_365896,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_352]) ).
tff(c_255416,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_252839]) ).
tff(c_365472,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_365451,c_252827]) ).
tff(c_365473,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_365472]) ).
tff(c_365452,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_308]) ).
tff(c_365459,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_365452,c_85116]) ).
tff(c_365460,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_365459]) ).
tff(c_365489,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_365473,c_365460,c_330]) ).
tff(c_365491,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_365472]) ).
tff(c_365512,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_202]) ).
tff(c_365450,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_304]) ).
tff(c_365466,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365460,c_332]) ).
tff(c_365492,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_365450,c_365466,c_164528]) ).
tff(c_365493,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_365492]) ).
tff(c_365499,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365493,c_246]) ).
tff(c_365568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365512,c_365491,c_365499,c_255415]) ).
tff(c_365569,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_365492]) ).
tff(c_365574,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365569,c_372]) ).
tff(c_365635,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365569,c_365446]) ).
tff(c_365636,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_365574,c_412,c_365635]) ).
tff(c_365649,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365636,c_365460,c_168]) ).
tff(c_365650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365491,c_365649]) ).
tff(c_365652,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_365459]) ).
tff(c_386081,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_365652,c_34]) ).
tff(c_386082,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_386081]) ).
tff(c_365883,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_370]) ).
tff(c_384899,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_86]) ).
tff(c_384900,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_410,c_384899]) ).
tff(c_384901,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_384900]) ).
tff(c_384910,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_234]) ).
tff(c_384911,plain,
op(e4,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_382]) ).
tff(c_116,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_387161,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_116]) ).
tff(c_387162,plain,
( ( op(e4,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_365787,c_387161]) ).
tff(c_387163,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_387162]) ).
tff(c_322805,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_322808,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_322805,c_310]) ).
tff(c_322816,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_322808,c_252827]) ).
tff(c_322817,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_322816]) ).
tff(c_322836,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_322817,c_326]) ).
tff(c_277822,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_277824,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_304]) ).
tff(c_277825,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_306]) ).
tff(c_279175,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_277825,c_252827]) ).
tff(c_279176,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_279175]) ).
tff(c_279181,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279176,c_222]) ).
tff(c_279219,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_50475]) ).
tff(c_279220,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_277824,c_279181,c_404,c_279219]) ).
tff(c_279222,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_279220,c_268]) ).
tff(c_279221,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_279220,c_264]) ).
tff(c_279177,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279176,c_226]) ).
tff(c_277832,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_244]) ).
tff(c_278642,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_278743,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_278642,c_172]) ).
tff(c_278789,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_278743,c_278743,c_152]) ).
tff(c_278790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_277832,c_278789]) ).
tff(c_278791,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_279250,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_279221,c_279177,c_278791]) ).
tff(c_279255,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279250,c_252]) ).
tff(c_279179,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279176,c_230]) ).
tff(c_278793,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_277834,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_277824,c_208864]) ).
tff(c_277835,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_277834]) ).
tff(c_278220,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_277825,c_252827]) ).
tff(c_278221,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_278220]) ).
tff(c_278261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_277835,c_278221,c_322]) ).
tff(c_278263,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_278220]) ).
tff(c_278499,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277835,c_255415]) ).
tff(c_278500,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_278263,c_278499]) ).
tff(c_278506,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_278500,c_250]) ).
tff(c_278462,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_50475]) ).
tff(c_278463,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_277824,c_404,c_278462]) ).
tff(c_278464,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_278463]) ).
tff(c_278468,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_278464,c_228]) ).
tff(c_278275,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_50475]) ).
tff(c_278276,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_277824,c_404,c_278275]) ).
tff(c_278277,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_278276]) ).
tff(c_278339,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_277835,c_278277,c_162]) ).
tff(c_278340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278263,c_278339]) ).
tff(c_278341,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_278276]) ).
tff(c_278264,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_278421,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_278341,c_278341,c_278264,c_158]) ).
tff(c_278422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_278421]) ).
tff(c_278423,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_278523,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_278506,c_278468,c_278423]) ).
tff(c_278528,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_278523,c_272]) ).
tff(c_278508,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_278500,c_246]) ).
tff(c_278469,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_278464,c_224]) ).
tff(c_277854,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_277825,c_252827]) ).
tff(c_277855,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_277854]) ).
tff(c_277879,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_277855,c_277835,c_322]) ).
tff(c_277881,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_277854]) ).
tff(c_277967,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_50475]) ).
tff(c_277968,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_277824,c_404,c_277967]) ).
tff(c_277969,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_277968]) ).
tff(c_278060,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_277969,c_277835,c_162]) ).
tff(c_278061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_277881,c_278060]) ).
tff(c_278062,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_277968]) ).
tff(c_278064,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_278062,c_268]) ).
tff(c_277844,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_277883,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_277929,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_277844,c_277883,c_212]) ).
tff(c_277930,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_278084,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_278064,c_277930]) ).
tff(c_278085,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_278084]) ).
tff(c_278089,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_278085,c_250]) ).
tff(c_278099,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277835,c_255415]) ).
tff(c_278100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_277881,c_278089,c_278099]) ).
tff(c_278101,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_278084]) ).
tff(c_277880,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_277854]) ).
tff(c_278189,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_278101,c_277880]) ).
tff(c_278190,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_278189]) ).
tff(c_278192,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_278190,c_350]) ).
tff(c_277826,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_312]) ).
tff(c_277932,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_277826,c_85116]) ).
tff(c_277933,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_277932]) ).
tff(c_277964,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_277933,c_277835,c_328]) ).
tff(c_277965,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_277932]) ).
tff(c_278216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278064,c_278192,c_277965]) ).
tff(c_278217,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_278544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278528,c_278508,c_278469,c_278217]) ).
tff(c_278545,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_278463]) ).
tff(c_278547,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_278545,c_264]) ).
tff(c_278581,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277835,c_255415]) ).
tff(c_278582,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_278263,c_278581]) ).
tff(c_278590,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_278582,c_246]) ).
tff(c_278549,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_278545,c_268]) ).
tff(c_278588,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_278582,c_250]) ).
tff(c_278605,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_278549,c_278588,c_278423]) ).
tff(c_278610,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_278605,c_232]) ).
tff(c_278638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278547,c_278590,c_278610,c_278217]) ).
tff(c_278639,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_277834]) ).
tff(c_279148,plain,
( ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_278793,c_278639]) ).
tff(c_279149,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_279148]) ).
tff(c_279170,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279149,c_279149,c_277822,c_156]) ).
tff(c_279171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_279170]) ).
tff(c_279172,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_279305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_279222,c_279255,c_279179,c_279172]) ).
tff(c_279307,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_279175]) ).
tff(c_279379,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_279307,c_255415]) ).
tff(c_279380,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_279379]) ).
tff(c_279323,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_50475]) ).
tff(c_279324,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_277824,c_404,c_279323]) ).
tff(c_279325,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_279324]) ).
tff(c_279348,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279325,c_162]) ).
tff(c_279381,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279380,c_279380,c_279348]) ).
tff(c_279391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_279381]) ).
tff(c_279392,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_279379]) ).
tff(c_279403,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279392,c_246]) ).
tff(c_279330,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279325,c_224]) ).
tff(c_279408,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_279403,c_279330,c_278791]) ).
tff(c_279415,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_279408,c_272]) ).
tff(c_279401,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279392,c_250]) ).
tff(c_279329,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279325,c_228]) ).
tff(c_279429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_279415,c_279401,c_279329,c_279172]) ).
tff(c_279430,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_279324]) ).
tff(c_279434,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_279430,c_268]) ).
tff(c_279636,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_278639]) ).
tff(c_279580,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_279430,c_182]) ).
tff(c_279637,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_279636,c_279580]) ).
tff(c_279648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_279434,c_279637]) ).
tff(c_279649,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_278639]) ).
tff(c_279600,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_277822,c_156]) ).
tff(c_279651,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279649,c_279649,c_279600]) ).
tff(c_279662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_279651]) ).
tff(c_279663,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_322838,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_322836,c_279663]) ).
tff(c_322839,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_322838]) ).
tff(c_322840,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_322839,c_372]) ).
tff(c_322820,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_322817,c_230]) ).
tff(c_320957,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_321441,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_320957,c_210]) ).
tff(c_321469,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_321441,c_255415]) ).
tff(c_321470,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_321469]) ).
tff(c_321471,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_321470,c_326]) ).
tff(c_321487,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_321471,c_279663]) ).
tff(c_321488,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_321487]) ).
tff(c_321489,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_321488,c_372]) ).
tff(c_321473,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_321470,c_330]) ).
tff(c_321475,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_321470,c_226]) ).
tff(c_321393,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_321420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321393,c_320957,c_212]) ).
tff(c_321421,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_321505,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_321475,c_321421]) ).
tff(c_321506,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_321505]) ).
tff(c_279666,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_208864]) ).
tff(c_320756,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_202]) ).
tff(c_252828,plain,
op(e3,e0) != e0,
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_279668,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_302]) ).
tff(c_279727,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_279668,c_252827]) ).
tff(c_279728,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_279727]) ).
tff(c_279729,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_226]) ).
tff(c_279675,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_279724,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_279675,c_204]) ).
tff(c_279725,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_279805,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_279729,c_279725]) ).
tff(c_279806,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_279805]) ).
tff(c_279813,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_279806,c_272]) ).
tff(c_279807,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_279806,c_352]) ).
tff(c_279792,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_326]) ).
tff(c_279823,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_279792,c_279663]) ).
tff(c_279824,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_279823]) ).
tff(c_279865,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279824,c_279806,c_178]) ).
tff(c_279866,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_279865,c_279865,c_188]) ).
tff(c_279875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_279807,c_279866]) ).
tff(c_279876,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_279823]) ).
tff(c_279882,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279876,c_252]) ).
tff(c_279731,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_230]) ).
tff(c_279762,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_279731,c_233154]) ).
tff(c_279763,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_279762]) ).
tff(c_279779,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_279763,c_279666,c_208]) ).
tff(c_279780,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_279762]) ).
tff(c_279927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_279813,c_279882,c_279780]) ).
tff(c_279928,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_279805]) ).
tff(c_279664,plain,
op(e2,e4) != e4,
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_279934,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_252]) ).
tff(c_291381,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_279934,c_279780]) ).
tff(c_291385,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_268]) ).
tff(c_279669,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_308]) ).
tff(c_32,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e1 )
| ( op(e1,e4) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_294885,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_291385,c_279669,c_32]) ).
tff(c_294886,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_294885]) ).
tff(c_279931,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_258]) ).
tff(c_297097,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_279931,c_30]) ).
tff(c_297098,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_297097]) ).
tff(c_279932,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_358]) ).
tff(c_279937,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_344]) ).
tff(c_291422,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_62]) ).
tff(c_291423,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_279937,c_404,c_291422]) ).
tff(c_291424,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_291423]) ).
tff(c_291431,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_220]) ).
tff(c_291388,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_368]) ).
tff(c_279929,plain,
op(e1,e2) != e1,
inference(splitRight,[status(thm)],[c_279805]) ).
tff(c_74,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_295817,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_74]) ).
tff(c_295818,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_279668,c_295817]) ).
tff(c_295819,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_295818]) ).
tff(c_295825,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_295819,c_238]) ).
tff(c_294892,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_294886,c_262]) ).
tff(c_279738,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_279669,c_85116]) ).
tff(c_279739,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_279738]) ).
tff(c_279759,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_279739,c_279728,c_330]) ).
tff(c_279761,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_279738]) ).
tff(c_118,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_295792,plain,
( ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_294886,c_118]) ).
tff(c_295793,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279761,c_416,c_295792]) ).
tff(c_295794,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_295793]) ).
tff(c_295801,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_295794,c_392]) ).
tff(c_295823,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_295819,c_386]) ).
tff(c_295978,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_164529,c_279931,c_295801,c_295823,c_30]) ).
tff(c_279670,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_314]) ).
tff(c_42,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 )
| ( op(e0,e4) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_295841,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_279670,c_42]) ).
tff(c_295842,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_295841]) ).
tff(c_295846,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_295842,c_282]) ).
tff(c_279732,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_336]) ).
tff(c_138,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_295890,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_295842,c_138]) ).
tff(c_295891,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279732,c_410,c_295890]) ).
tff(c_295892,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_295891]) ).
tff(c_255425,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_256698,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_255425,c_210]) ).
tff(c_255436,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_255539,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_255425,c_255436,c_208]) ).
tff(c_255541,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_256032,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_255425,c_208864]) ).
tff(c_256033,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_255541,c_408,c_256032]) ).
tff(c_256034,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_256033]) ).
tff(c_256223,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_256034,c_322]) ).
tff(c_256371,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_256034,c_328]) ).
tff(c_256090,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_256144,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_255425,c_256090,c_182]) ).
tff(c_256218,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_256144,c_255425,c_256090,c_158]) ).
tff(c_256219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_256218]) ).
tff(c_256220,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_256397,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_256371,c_256220]) ).
tff(c_256398,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_256397]) ).
tff(c_256399,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_256398,c_372]) ).
tff(c_256373,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_256034,c_324]) ).
tff(c_255542,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_255547,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_255542,c_312]) ).
tff(c_255554,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_255425,c_208864]) ).
tff(c_255555,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_255541,c_408,c_255554]) ).
tff(c_255556,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_255555]) ).
tff(c_255646,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_255556,c_322]) ).
tff(c_255540,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_255792,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_255542,c_255540]) ).
tff(c_255793,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_255792]) ).
tff(c_255794,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_255793]) ).
tff(c_255737,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_255425,c_158]) ).
tff(c_255795,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_255794,c_255794,c_255737]) ).
tff(c_255805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_255795]) ).
tff(c_255806,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_255793]) ).
tff(c_255759,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_255556,c_162]) ).
tff(c_255808,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_255806,c_255759]) ).
tff(c_255818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_255646,c_255808]) ).
tff(c_255819,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_255555]) ).
tff(c_255823,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_255819,c_344]) ).
tff(c_255830,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_255819,c_130109]) ).
tff(c_255831,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_255823,c_255830]) ).
tff(c_255832,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_255831]) ).
tff(c_255839,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_255832,c_224]) ).
tff(c_255889,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_255542,c_255540]) ).
tff(c_255890,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_255839,c_255889]) ).
tff(c_255884,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_255425,c_158]) ).
tff(c_255891,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_255890,c_255890,c_255884]) ).
tff(c_255901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_255891]) ).
tff(c_255902,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_255831]) ).
tff(c_255910,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_255902,c_272]) ).
tff(c_255927,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_255902,c_85116]) ).
tff(c_255928,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_255547,c_412,c_255910,c_255927]) ).
tff(c_255546,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_255542,c_306]) ).
tff(c_255824,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_255819,c_342]) ).
tff(c_255916,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_255546,c_255824,c_252827]) ).
tff(c_255917,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_255916]) ).
tff(c_255942,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_255928,c_255917,c_330]) ).
tff(c_255943,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_255916]) ).
tff(c_255957,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_255902,c_85116]) ).
tff(c_255958,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_255547,c_412,c_255910,c_255957]) ).
tff(c_256027,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_255943,c_255943,c_255958,c_168]) ).
tff(c_256028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_256027]) ).
tff(c_256029,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_256420,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_256399,c_256373,c_256029]) ).
tff(c_256428,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_256420,c_246]) ).
tff(c_256438,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256034,c_255415]) ).
tff(c_256439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_256223,c_256428,c_256438]) ).
tff(c_256440,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_256397]) ).
tff(c_256445,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_256440,c_352]) ).
tff(c_256472,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256034,c_255415]) ).
tff(c_256473,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_256223,c_256472]) ).
tff(c_256478,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_256473,c_242]) ).
tff(c_256508,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_256478,c_255540]) ).
tff(c_256509,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_256508]) ).
tff(c_256375,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_255425,c_158]) ).
tff(c_256511,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_256509,c_256509,c_256375]) ).
tff(c_256521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_256511]) ).
tff(c_256522,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_256508]) ).
tff(c_256528,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_256522,c_224]) ).
tff(c_256041,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_256087,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_256041,c_255425,c_212]) ).
tff(c_256088,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_256537,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256440,c_256088]) ).
tff(c_256538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_256445,c_256528,c_256537]) ).
tff(c_256539,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_256033]) ).
tff(c_256543,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_256539,c_344]) ).
tff(c_256550,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256539,c_130109]) ).
tff(c_256551,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_256543,c_256550]) ).
tff(c_256552,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_256551]) ).
tff(c_256558,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_256552,c_226]) ).
tff(c_256565,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256552,c_252827]) ).
tff(c_256566,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_256558,c_406,c_256565]) ).
tff(c_256567,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_256566]) ).
tff(c_256629,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256567,c_255540]) ).
tff(c_256630,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_256629]) ).
tff(c_256631,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_256630]) ).
tff(c_256600,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_255425,c_158]) ).
tff(c_256632,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_256631,c_256631,c_256600]) ).
tff(c_256642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_256632]) ).
tff(c_256643,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_256630]) ).
tff(c_256610,plain,
op(e2,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_256539,c_172]) ).
tff(c_256645,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_256643,c_256610]) ).
tff(c_256655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256543,c_256645]) ).
tff(c_256656,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_256566]) ).
tff(c_256660,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_256656,c_366]) ).
tff(c_256703,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_256660,c_256543,c_256029]) ).
tff(c_256716,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256703,c_255415]) ).
tff(c_256717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256698,c_256558,c_406,c_256716]) ).
tff(c_256718,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_256551]) ).
tff(c_256724,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_256718,c_352]) ).
tff(c_256726,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_256718,c_272]) ).
tff(c_256809,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256718,c_85116]) ).
tff(c_256810,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_256726,c_256809]) ).
tff(c_256811,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_256810]) ).
tff(c_256828,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_256811,c_255425,c_158]) ).
tff(c_256829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_255541,c_256828]) ).
tff(c_256830,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_256810]) ).
tff(c_256839,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_256830,c_332]) ).
tff(c_256848,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_256543,c_256839,c_256029]) ).
tff(c_256942,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_256848,c_256718,c_178]) ).
tff(c_256943,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_256942,c_256942,c_188]) ).
tff(c_256952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256724,c_256943]) ).
tff(c_256953,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_276625,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_256953]) ).
tff(c_276632,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276625,c_368]) ).
tff(c_276627,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276625,c_372]) ).
tff(c_256955,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_256958,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_304]) ).
tff(c_257856,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_50475]) ).
tff(c_257857,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_256958,c_404,c_257856]) ).
tff(c_257858,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_257857]) ).
tff(c_257862,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_257858,c_228]) ).
tff(c_257917,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_257862,c_256953]) ).
tff(c_257918,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_257917]) ).
tff(c_257923,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_257918,c_272]) ).
tff(c_257863,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_257858,c_224]) ).
tff(c_257253,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_256959,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_306]) ).
tff(c_256985,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_256959,c_252827]) ).
tff(c_256986,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_256985]) ).
tff(c_256966,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_256958,c_208864]) ).
tff(c_256967,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_256966]) ).
tff(c_257032,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_256986,c_256967,c_322]) ).
tff(c_257034,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_256985]) ).
tff(c_257076,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_50475]) ).
tff(c_257077,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_256958,c_404,c_257076]) ).
tff(c_257078,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_257077]) ).
tff(c_257109,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_257078,c_256967,c_162]) ).
tff(c_257110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_257034,c_257109]) ).
tff(c_257111,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_257077]) ).
tff(c_257115,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_257111,c_268]) ).
tff(c_256960,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_312]) ).
tff(c_257036,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_256960,c_85116]) ).
tff(c_257037,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_257036]) ).
tff(c_257069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_257037,c_256967,c_328]) ).
tff(c_257070,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_257036]) ).
tff(c_257214,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_257115,c_257070]) ).
tff(c_257216,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_257214,c_350]) ).
tff(c_257148,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_257115,c_256953]) ).
tff(c_257149,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_257148]) ).
tff(c_257154,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_257149,c_250]) ).
tff(c_257166,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256967,c_255415]) ).
tff(c_257167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_257034,c_257154,c_257166]) ).
tff(c_257168,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_257148]) ).
tff(c_257033,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_256985]) ).
tff(c_257249,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_257168,c_257033]) ).
tff(c_257250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_257216,c_257249]) ).
tff(c_257251,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_256966]) ).
tff(c_257369,plain,
( ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_257253,c_257251]) ).
tff(c_257370,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_257369]) ).
tff(c_257265,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_256959,c_252827]) ).
tff(c_257266,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_257265]) ).
tff(c_257271,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_257266,c_222]) ).
tff(c_257293,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_50475]) ).
tff(c_257294,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_256958,c_257271,c_404,c_257293]) ).
tff(c_257343,plain,
op(e1,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_257294,c_158]) ).
tff(c_257371,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_257370,c_257343]) ).
tff(c_257383,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_257371,c_257371,c_188]) ).
tff(c_257352,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_257253,c_256955,c_172]) ).
tff(c_257394,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_257383,c_257352]) ).
tff(c_257396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_257394]) ).
tff(c_257398,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_257265]) ).
tff(c_257432,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_257253,c_206]) ).
tff(c_257472,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_257432,c_257398,c_255415]) ).
tff(c_257480,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_257472,c_250]) ).
tff(c_257399,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_50475]) ).
tff(c_257400,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_256958,c_404,c_257399]) ).
tff(c_257401,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_257400]) ).
tff(c_257405,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_257401,c_228]) ).
tff(c_257487,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_257480,c_257405,c_256953]) ).
tff(c_257493,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_257487,c_368]) ).
tff(c_257500,plain,
( ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_257253,c_257251]) ).
tff(c_257501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_257493,c_404,c_257500]) ).
tff(c_257502,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_257400]) ).
tff(c_257504,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_257502,c_268]) ).
tff(c_257533,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_257253,c_206]) ).
tff(c_257574,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_257533,c_257398,c_255415]) ).
tff(c_257582,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_257574,c_250]) ).
tff(c_257589,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_257504,c_257582,c_256953]) ).
tff(c_257516,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_257502,c_85116]) ).
tff(c_257517,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_257504,c_257516]) ).
tff(c_257518,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_257517]) ).
tff(c_257553,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_257518,c_168]) ).
tff(c_257590,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_257589,c_257553]) ).
tff(c_257600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_257398,c_257590]) ).
tff(c_257601,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_257517]) ).
tff(c_257606,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_257601,c_350]) ).
tff(c_257615,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_257253,c_206]) ).
tff(c_257649,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_257615,c_257398,c_255415]) ).
tff(c_257655,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_257649,c_250]) ).
tff(c_257663,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_257504,c_257655,c_256953]) ).
tff(c_257397,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_257265]) ).
tff(c_257715,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_257663,c_257397]) ).
tff(c_257716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_257606,c_257715]) ).
tff(c_257717,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_257943,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_257923,c_257863,c_257717]) ).
tff(c_257722,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_256959,c_252827]) ).
tff(c_257723,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_257722]) ).
tff(c_257729,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_257723,c_222]) ).
tff(c_257839,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_50475]) ).
tff(c_257840,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_256958,c_257729,c_404,c_257839]) ).
tff(c_257724,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_257723,c_330]) ).
tff(c_257734,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_256960,c_257724,c_85116]) ).
tff(c_257735,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_257734]) ).
tff(c_257739,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_257735,c_352]) ).
tff(c_257748,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_50475]) ).
tff(c_257749,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_256958,c_257729,c_404,c_257748]) ).
tff(c_257752,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_257749,c_268]) ).
tff(c_257727,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_257723,c_230]) ).
tff(c_257770,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_257752,c_257727,c_256953]) ).
tff(c_257823,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_257770,c_257735,c_178]) ).
tff(c_257824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_257739,c_257823]) ).
tff(c_257825,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_257734]) ).
tff(c_257828,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_257825,c_268]) ).
tff(c_257853,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_257840,c_257828]) ).
tff(c_257855,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_257722]) ).
tff(c_257887,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_257855,c_255415]) ).
tff(c_257888,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_257887]) ).
tff(c_257913,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_257888,c_257888,c_257858,c_162]) ).
tff(c_257914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_257913]) ).
tff(c_257915,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_257887]) ).
tff(c_257938,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_257915,c_246]) ).
tff(c_257956,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_257943,c_257938]) ).
tff(c_257957,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_257917]) ).
tff(c_257964,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_257915,c_250]) ).
tff(c_257996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_257957,c_257964]) ).
tff(c_257997,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_257857]) ).
tff(c_258001,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_257997,c_264]) ).
tff(c_258000,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_257997,c_268]) ).
tff(c_258219,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_258000,c_256953]) ).
tff(c_258220,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_258219]) ).
tff(c_258224,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258220,c_252]) ).
tff(c_258237,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_258001,c_258224,c_257717]) ).
tff(c_257854,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_257722]) ).
tff(c_258264,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258237,c_257854]) ).
tff(c_258265,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_258264]) ).
tff(c_258269,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258265,c_362]) ).
tff(c_258301,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_258269,c_257251]) ).
tff(c_258296,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_256955,c_156]) ).
tff(c_258302,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_258301,c_258301,c_258296]) ).
tff(c_258313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_258302]) ).
tff(c_258314,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_258219]) ).
tff(c_258320,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_258314,c_232]) ).
tff(c_258333,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_258001,c_258320,c_257717]) ).
tff(c_258339,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258333,c_346]) ).
tff(c_258360,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258314,c_257854]) ).
tff(c_258361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_258339,c_258360]) ).
tff(c_258362,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_276643,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_276627,c_258362]) ).
tff(c_276644,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_276643]) ).
tff(c_276652,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_276644,c_344]) ).
tff(c_276651,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_276644,c_246]) ).
tff(c_276657,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_276651,c_255415]) ).
tff(c_276658,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_276657]) ).
tff(c_258364,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_208864]) ).
tff(c_258580,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_202]) ).
tff(c_258366,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_302]) ).
tff(c_258582,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_258366,c_252827]) ).
tff(c_258583,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_258582]) ).
tff(c_258584,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_326]) ).
tff(c_258596,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_258584,c_258362]) ).
tff(c_258597,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_258596]) ).
tff(c_258598,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258597,c_372]) ).
tff(c_258589,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_230]) ).
tff(c_258642,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258597,c_256953]) ).
tff(c_258643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258598,c_412,c_258589,c_258642]) ).
tff(c_258644,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_258596]) ).
tff(c_258650,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_252]) ).
tff(c_258683,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_258650,c_258589,c_256953]) ).
tff(c_258688,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_272]) ).
tff(c_208865,plain,
op(e4,e0) != e0,
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_258422,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_214]) ).
tff(c_10,plain,
( ( op(e4,e0) = e4 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 )
| ( op(e4,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_267846,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_258422,c_10]) ).
tff(c_267847,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_267846]) ).
tff(c_267855,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_267847,c_218]) ).
tff(c_267866,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_90]) ).
tff(c_267867,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_416,c_267866]) ).
tff(c_267868,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_267867]) ).
tff(c_258590,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_336]) ).
tff(c_268965,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_268966,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_258590,c_268965]) ).
tff(c_268967,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_268966]) ).
tff(c_422,plain,
( ( op(op(e4,e4),e4) != e4 )
| ( op(op(e4,e3),e3) != e4 )
| ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e3),e3) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e2),e2) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e1),e1) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e2),e2) != e0 )
| ( op(op(e0,e1),e1) != e0 )
| ( op(op(e0,e0),e0) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_255419,plain,
( ( op(op(e4,e4),e4) != e4 )
| ( op(op(e4,e3),e3) != e4 )
| ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e3),e3) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e2),e2) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e1),e1) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e2),e2) != e0 )
| ( op(op(e0,e1),e1) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_252829,c_422]) ).
tff(c_255420,plain,
op(op(e0,e1),e1) != e0,
inference(splitLeft,[status(thm)],[c_255419]) ).
tff(c_268972,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_268967,c_255420]) ).
tff(c_268981,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_267868,c_268972]) ).
tff(c_268983,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_268966]) ).
tff(c_258685,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_268]) ).
tff(c_258762,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_84]) ).
tff(c_258763,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_410,c_258762]) ).
tff(c_258764,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_258763]) ).
tff(c_258691,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_370]) ).
tff(c_259543,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_90]) ).
tff(c_259544,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_416,c_259543]) ).
tff(c_259545,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_259544]) ).
tff(c_258768,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_334]) ).
tff(c_258779,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_258422,c_10]) ).
tff(c_258780,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_258779]) ).
tff(c_258788,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258780,c_218]) ).
tff(c_258687,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_280]) ).
tff(c_40,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_259450,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_258687,c_40]) ).
tff(c_259451,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_259450]) ).
tff(c_258769,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_338]) ).
tff(c_233155,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_258690,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_380]) ).
tff(c_259234,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_116]) ).
tff(c_259235,plain,
( ( op(e4,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_258589,c_259234]) ).
tff(c_259236,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_259235]) ).
tff(c_424,plain,
( ( op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e4,e3)) != e3 )
| ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e2)) != e2 )
| ( op(e0,op(e0,e1)) != e1 )
| ( op(e0,op(e0,e0)) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1400]) ).
tff(c_255422,plain,
( ( op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e4,e3)) != e3 )
| ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e2)) != e2 )
| ( op(e0,op(e0,e1)) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_252829,c_424]) ).
tff(c_255423,plain,
op(e0,op(e0,e1)) != e1,
inference(splitLeft,[status(thm)],[c_255422]) ).
tff(c_259241,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_259236,c_255423]) ).
tff(c_259250,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_259241]) ).
tff(c_259252,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_259235]) ).
tff(c_48,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_259277,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_259252,c_48]) ).
tff(c_259278,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_259277]) ).
tff(c_259283,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_259278,c_255420]) ).
tff(c_258648,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_258]) ).
tff(c_259306,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_258687,c_40]) ).
tff(c_259307,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_259306]) ).
tff(c_259282,plain,
op(op(e1,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259278,c_198]) ).
tff(c_259309,plain,
op(e2,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259307,c_259282]) ).
tff(c_259335,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259309,c_258644]) ).
tff(c_259337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_259335]) ).
tff(c_259338,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_259306]) ).
tff(c_259340,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_259338]) ).
tff(c_259405,plain,
( ( e2 = e1 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e4 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_259340,c_258780,c_140]) ).
tff(c_259406,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_258648,c_412,c_259405]) ).
tff(c_258765,plain,
op(op(e3,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_194]) ).
tff(c_259409,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259406,c_258765]) ).
tff(c_259416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259283,c_259409]) ).
tff(c_259417,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_259338]) ).
tff(c_259280,plain,
op(e2,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_259278,c_190]) ).
tff(c_259420,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_259417,c_259280]) ).
tff(c_259430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258769,c_259420]) ).
tff(c_259431,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_259277]) ).
tff(c_259435,plain,
op(e4,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_259431,c_190]) ).
tff(c_259463,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_259451,c_259435]) ).
tff(c_259464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258788,c_259463]) ).
tff(c_259465,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_259450]) ).
tff(c_259471,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_259465]) ).
tff(c_259437,plain,
op(op(e1,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259431,c_198]) ).
tff(c_259472,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259471,c_259437]) ).
tff(c_259485,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259472,c_258364]) ).
tff(c_259487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_259485]) ).
tff(c_259488,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_259465]) ).
tff(c_259507,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_259488,c_259435]) ).
tff(c_259508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258768,c_259507]) ).
tff(c_259509,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_258779]) ).
tff(c_259519,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_259509]) ).
tff(c_259527,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_259519,c_220]) ).
tff(c_259937,plain,
( ( op(e4,e1) = e3 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_259545,c_116]) ).
tff(c_259938,plain,
( ( op(e2,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_259527,c_259937]) ).
tff(c_259939,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_259938]) ).
tff(c_259943,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_259939,c_255420]) ).
tff(c_259952,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_259545,c_259943]) ).
tff(c_259953,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_259938]) ).
tff(c_259525,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_259519,c_388]) ).
tff(c_258538,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_202]) ).
tff(c_258367,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_308]) ).
tff(c_258425,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_258367,c_85116]) ).
tff(c_258426,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_258425]) ).
tff(c_258428,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_258426,c_330]) ).
tff(c_258440,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_258366,c_258428,c_252827]) ).
tff(c_258441,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_258440]) ).
tff(c_258445,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258441,c_346]) ).
tff(c_258454,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_202]) ).
tff(c_258477,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_258454,c_258428,c_255415]) ).
tff(c_258521,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_258477,c_258441,c_174]) ).
tff(c_258522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258445,c_258521]) ).
tff(c_258523,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_258440]) ).
tff(c_258526,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258523,c_366]) ).
tff(c_258435,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_258426,c_332]) ).
tff(c_258559,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_258526,c_258435,c_258362]) ).
tff(c_258566,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258559,c_246]) ).
tff(c_258577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258538,c_258428,c_258566,c_255415]) ).
tff(c_258579,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_258425]) ).
tff(c_258771,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_282]) ).
tff(c_64,plain,
( ( op(e4,e4) = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_259820,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_64]) ).
tff(c_259821,plain,
( ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_258771,c_258685,c_408,c_259820]) ).
tff(c_259822,plain,
op(e2,e4) = e1,
inference(splitLeft,[status(thm)],[c_259821]) ).
tff(c_259551,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_259545,c_366]) ).
tff(c_258770,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_286]) ).
tff(c_104,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_259694,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_104]) ).
tff(c_259695,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_258770,c_258688,c_412,c_259694]) ).
tff(c_259696,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_259695]) ).
tff(c_259704,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_259696,c_238]) ).
tff(c_258588,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_236]) ).
tff(c_259550,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_259545,c_362]) ).
tff(c_132,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_259560,plain,
( ( e4 = e3 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_259519,c_132]) ).
tff(c_259561,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_259560]) ).
tff(c_259562,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_259561]) ).
tff(c_259571,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_259562,c_390]) ).
tff(c_259617,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_258588,c_259571,c_20]) ).
tff(c_259618,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_259617]) ).
tff(c_258766,plain,
op(e1,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_170]) ).
tff(c_259620,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_259618,c_258766]) ).
tff(c_259627,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_259620]) ).
tff(c_259629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_259627]) ).
tff(c_259630,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_259617]) ).
tff(c_259635,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259630,c_258765]) ).
tff(c_259642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259551,c_259635]) ).
tff(c_259643,plain,
( ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_259561]) ).
tff(c_259655,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_259643]) ).
tff(c_259657,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259655,c_258765]) ).
tff(c_259665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259550,c_259657]) ).
tff(c_259667,plain,
op(e3,e0) != e4,
inference(splitRight,[status(thm)],[c_259643]) ).
tff(c_259785,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_252828,c_259704,c_258588,c_259667,c_20]) ).
tff(c_259789,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_259785,c_258765]) ).
tff(c_259795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_259551,c_259789]) ).
tff(c_259796,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_259695]) ).
tff(c_259800,plain,
op(e1,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_259796,c_172]) ).
tff(c_259826,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_259822,c_259800]) ).
tff(c_259835,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_259826]) ).
tff(c_259837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_259835]) ).
tff(c_259838,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_259821]) ).
tff(c_68,plain,
( ( op(e4,e4) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_259862,plain,
( ( e4 = e0 )
| ( e1 = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_259838,c_258364,c_68]) ).
tff(c_259863,plain,
( ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_420,c_414,c_259862]) ).
tff(c_259864,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_259863]) ).
tff(c_259888,plain,
( ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_259864,c_118]) ).
tff(c_259889,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_259525,c_410,c_258579,c_416,c_259888]) ).
tff(c_259891,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_259889,c_178]) ).
tff(c_259955,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_259953,c_259891]) ).
tff(c_259971,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_259955,c_258583]) ).
tff(c_259973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_259971]) ).
tff(c_259974,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_259863]) ).
tff(c_259977,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_259974,c_259800]) ).
tff(c_259980,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_259974,c_242]) ).
tff(c_88,plain,
( ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_260045,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_258583,c_88]) ).
tff(c_260046,plain,
( ( op(e4,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_259980,c_416,c_260045]) ).
tff(c_260047,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_260046]) ).
tff(c_259546,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_259545,c_184]) ).
tff(c_260049,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_260047,c_259546]) ).
tff(c_260057,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_260049]) ).
tff(c_260059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_260057]) ).
tff(c_260060,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_260046]) ).
tff(c_259841,plain,
op(e1,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_259838,c_154]) ).
tff(c_260063,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_260060,c_259841]) ).
tff(c_260070,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_259977,c_260063]) ).
tff(c_260072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_260070]) ).
tff(c_260073,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_259544]) ).
tff(c_260075,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_260073]) ).
tff(c_260084,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_260075,c_306]) ).
tff(c_258646,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_244]) ).
tff(c_258645,plain,
op(e2,e1) != e1,
inference(splitRight,[status(thm)],[c_258596]) ).
tff(c_28,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_260090,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258645,c_258650,c_28]) ).
tff(c_260091,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_260090]) ).
tff(c_260099,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_260091,c_364]) ).
tff(c_258689,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_368]) ).
tff(c_256954,plain,
op(e4,e1) != e4,
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_8,plain,
( ( op(e4,e1) = e4 )
| ( op(e4,e1) = e3 )
| ( op(e4,e1) = e2 )
| ( op(e4,e1) = e1 )
| ( op(e4,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_260122,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_260099,c_258689,c_259527,c_256954,c_8]) ).
tff(c_260132,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_260122,c_374]) ).
tff(c_258368,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_314]) ).
tff(c_134,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_260147,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e1 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_258764,c_134]) ).
tff(c_260148,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_258368,c_260147]) ).
tff(c_260149,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_260148]) ).
tff(c_260239,plain,
( ( op(e0,e4) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e4 = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_260149,c_258764,c_138]) ).
tff(c_260240,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_410,c_260239]) ).
tff(c_260241,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_260240]) ).
tff(c_258649,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_352]) ).
tff(c_36,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_260175,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258688,c_258649,c_36]) ).
tff(c_260176,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_260175]) ).
tff(c_260093,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_260091,c_186]) ).
tff(c_260177,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_260176,c_260093]) ).
tff(c_260187,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_260177]) ).
tff(c_260189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_260187]) ).
tff(c_260190,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_260175]) ).
tff(c_260192,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_260190]) ).
tff(c_260194,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_260192,c_260093]) ).
tff(c_260205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258771,c_260194]) ).
tff(c_260206,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_260190]) ).
tff(c_260216,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_260206,c_360]) ).
tff(c_260256,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_260241,c_260216]) ).
tff(c_260257,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_260240]) ).
tff(c_259521,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_259519,c_160]) ).
tff(c_260262,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_260257,c_259521]) ).
tff(c_260269,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_260262]) ).
tff(c_260271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_260269]) ).
tff(c_260273,plain,
op(e0,e1) != e4,
inference(splitRight,[status(thm)],[c_260148]) ).
tff(c_260433,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_260132,c_260273,c_48]) ).
tff(c_260296,plain,
( ( e4 = e3 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_259519,c_132]) ).
tff(c_260297,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_260296]) ).
tff(c_260298,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_260297]) ).
tff(c_260300,plain,
op(op(e0,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_260298,c_190]) ).
tff(c_260434,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_260433,c_260300]) ).
tff(c_260444,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_260075,c_260434]) ).
tff(c_260446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_260444]) ).
tff(c_260447,plain,
( ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_260297]) ).
tff(c_260451,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_260447]) ).
tff(c_260452,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_260451,c_258766]) ).
tff(c_260125,plain,
op(e2,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_260122,c_182]) ).
tff(c_260464,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_260452,c_260125]) ).
tff(c_260475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258769,c_260464]) ).
tff(c_260476,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_260447]) ).
tff(c_260272,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_260148]) ).
tff(c_260276,plain,
op(op(e2,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_260272,c_196]) ).
tff(c_260478,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_260476,c_260276]) ).
tff(c_260491,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_260478,c_258364]) ).
tff(c_260493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_260491]) ).
tff(c_260494,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_260090]) ).
tff(c_260504,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_260494]) ).
tff(c_260510,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_260504,c_260]) ).
tff(c_260564,plain,
( ( e4 = e3 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_259519,c_132]) ).
tff(c_260565,plain,
( ( op(e3,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_260510,c_402,c_260564]) ).
tff(c_260566,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_260565]) ).
tff(c_260575,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_260566,c_390]) ).
tff(c_260606,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_258588,c_260575,c_20]) ).
tff(c_260607,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_260606]) ).
tff(c_260609,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_260607,c_258766]) ).
tff(c_260616,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_260609]) ).
tff(c_260618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_260616]) ).
tff(c_260619,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_260606]) ).
tff(c_260623,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_260619,c_258766]) ).
tff(c_260506,plain,
op(op(e1,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_260504,c_178]) ).
tff(c_260636,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_260623,c_260506]) ).
tff(c_260644,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_260075,c_260636]) ).
tff(c_260646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_260644]) ).
tff(c_260647,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_260565]) ).
tff(c_260665,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_260647,c_258766]) ).
tff(c_260682,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_260665,c_264]) ).
tff(c_260515,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_260504,c_378]) ).
tff(c_260532,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_260515,c_48]) ).
tff(c_260533,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_260532]) ).
tff(c_260541,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_260533,c_288]) ).
tff(c_260649,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258688,c_258649,c_36]) ).
tff(c_260650,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_260649]) ).
tff(c_260651,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_260650,c_260506]) ).
tff(c_260662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260541,c_260651]) ).
tff(c_260663,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_260649]) ).
tff(c_260726,plain,
op(e1,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_260682,c_260663]) ).
tff(c_260729,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_260726,c_260506]) ).
tff(c_260742,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_260729,c_258364]) ).
tff(c_260744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_260742]) ).
tff(c_260745,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_260532]) ).
tff(c_260752,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_260745,c_255423]) ).
tff(c_260760,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_260752]) ).
tff(c_260761,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_260494]) ).
tff(c_260769,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_260761,c_248]) ).
tff(c_258363,plain,
op(e2,e4) != e4,
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_22,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_261106,plain,
op(e2,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_260084,c_258646,c_260769,c_258363,c_22]) ).
tff(c_260928,plain,
( ( e4 = e1 )
| ( e1 = e0 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_260075,c_258364,c_64]) ).
tff(c_260929,plain,
op(e2,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_258771,c_258685,c_420,c_408,c_260928]) ).
tff(c_258653,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_344]) ).
tff(c_259528,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_259519,c_218]) ).
tff(c_258374,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_258418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_258374,c_258364,c_204]) ).
tff(c_258420,plain,
op(e4,e2) != e4,
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_6,plain,
( ( op(e4,e2) = e4 )
| ( op(e4,e2) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e2) = e1 )
| ( op(e4,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_260871,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258653,c_259528,c_258420,c_6]) ).
tff(c_260872,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_260871]) ).
tff(c_260875,plain,
op(e0,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_260872,c_172]) ).
tff(c_260930,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_260929,c_260875]) ).
tff(c_260773,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_260761,c_378]) ).
tff(c_260803,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_260773,c_48]) ).
tff(c_260804,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_260803]) ).
tff(c_260787,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_258687,c_259525,c_40]) ).
tff(c_260788,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_260787]) ).
tff(c_260790,plain,
op(op(e0,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_260788,c_190]) ).
tff(c_260819,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_260804,c_260790]) ).
tff(c_260820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_260819]) ).
tff(c_260821,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_260803]) ).
tff(c_260792,plain,
op(e2,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_260788,c_198]) ).
tff(c_260852,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_260821,c_260792]) ).
tff(c_260853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260084,c_260852]) ).
tff(c_260854,plain,
op(e1,e0) = e4,
inference(splitRight,[status(thm)],[c_260787]) ).
tff(c_260877,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_260872,c_206]) ).
tff(c_261006,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_258583,c_88]) ).
tff(c_261007,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_260877,c_261006]) ).
tff(c_261008,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_261007]) ).
tff(c_260911,plain,
( ( e4 = e3 )
| ( e3 = e0 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_260075,c_258364,c_56]) ).
tff(c_260912,plain,
( ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_260769,c_416,c_402,c_260911]) ).
tff(c_260913,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_260912]) ).
tff(c_260915,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_260913,c_259521]) ).
tff(c_260923,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_260915]) ).
tff(c_260925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_260923]) ).
tff(c_260926,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_260912]) ).
tff(c_122,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_261058,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_260854,c_258683,c_261008,c_260926,c_122]) ).
tff(c_261059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_412,c_258649,c_418,c_406,c_261058]) ).
tff(c_261060,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_261007]) ).
tff(c_260983,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_260872,c_104]) ).
tff(c_260984,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_258770,c_258688,c_412,c_420,c_260983]) ).
tff(c_260987,plain,
op(op(e2,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_260984,c_166]) ).
tff(c_261062,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_261060,c_260987]) ).
tff(c_261070,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_260930,c_261062]) ).
tff(c_261072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_261070]) ).
tff(c_261073,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_260871]) ).
tff(c_261077,plain,
op(e1,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_261073,c_172]) ).
tff(c_261107,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_261106,c_261077]) ).
tff(c_261117,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_261107]) ).
tff(c_261119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_261117]) ).
tff(c_261121,plain,
op(e3,e4) != e0,
inference(splitRight,[status(thm)],[c_260073]) ).
tff(c_261992,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_68]) ).
tff(c_261993,plain,
( ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_261121,c_414,c_261992]) ).
tff(c_261994,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_261993]) ).
tff(c_262041,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_258588,c_20]) ).
tff(c_262042,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_262041]) ).
tff(c_262043,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_262042,c_258766]) ).
tff(c_262051,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_262043]) ).
tff(c_262053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_262051]) ).
tff(c_262054,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_262041]) ).
tff(c_262056,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_262054]) ).
tff(c_262058,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_262056,c_258766]) ).
tff(c_262066,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261994,c_262058]) ).
tff(c_262068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_262066]) ).
tff(c_262069,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_262054]) ).
tff(c_261120,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_260073]) ).
tff(c_262167,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_262069,c_261120,c_258583,c_86]) ).
tff(c_262168,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_258691,c_420,c_410,c_262167]) ).
tff(c_261144,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_258583,c_88]) ).
tff(c_261145,plain,
( ( op(e4,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_261144]) ).
tff(c_261146,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_261145]) ).
tff(c_261150,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_261146,c_328]) ).
tff(c_261188,plain,
( ( op(e0,e4) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_258764,c_138]) ).
tff(c_261189,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_261188]) ).
tff(c_261190,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_261189]) ).
tff(c_261160,plain,
( ( e4 = e3 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_259519,c_132]) ).
tff(c_261161,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_261160]) ).
tff(c_261162,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_261161]) ).
tff(c_261166,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261162,c_198]) ).
tff(c_261191,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261190,c_261166]) ).
tff(c_261203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_261150,c_261191]) ).
tff(c_261204,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_261189]) ).
tff(c_261210,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_261204]) ).
tff(c_261212,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_261210,c_259521]) ).
tff(c_261221,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_261212]) ).
tff(c_261223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_261221]) ).
tff(c_261224,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_261204]) ).
tff(c_261355,plain,
( ( op(e4,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_261224,c_258644,c_261120,c_104]) ).
tff(c_261356,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_410,c_258688,c_412,c_420,c_261355]) ).
tff(c_261170,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_261162,c_390]) ).
tff(c_261271,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258689,c_259527,c_256954,c_8]) ).
tff(c_261272,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_261271]) ).
tff(c_261225,plain,
op(e0,e4) != e3,
inference(splitRight,[status(thm)],[c_261204]) ).
tff(c_258591,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_222]) ).
tff(c_261243,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_56]) ).
tff(c_261244,plain,
( ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_261225,c_258591,c_402,c_261243]) ).
tff(c_261245,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_261244]) ).
tff(c_261249,plain,
op(e3,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_261245,c_158]) ).
tff(c_261273,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_261272,c_261249]) ).
tff(c_261284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_261170,c_261273]) ).
tff(c_261285,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_261271]) ).
tff(c_261288,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_261285,c_261249]) ).
tff(c_261298,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261120,c_261288]) ).
tff(c_261300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_261298]) ).
tff(c_261301,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_261244]) ).
tff(c_261320,plain,
op(op(e4,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_261301,c_172]) ).
tff(c_261357,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_261356,c_261320]) ).
tff(c_261365,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261146,c_261357]) ).
tff(c_261367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_261365]) ).
tff(c_261368,plain,
( ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_261161]) ).
tff(c_261378,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_261368]) ).
tff(c_261411,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261378,c_258765]) ).
tff(c_261379,plain,
( ( op(e0,e4) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_258764,c_138]) ).
tff(c_261380,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_261379]) ).
tff(c_261381,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_261380]) ).
tff(c_261398,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_261381,c_255423]) ).
tff(c_261407,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_261398]) ).
tff(c_261409,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_261380]) ).
tff(c_261528,plain,
( ( e3 = e0 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_261411,c_116]) ).
tff(c_261529,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_261409,c_410,c_258589,c_416,c_261528]) ).
tff(c_261410,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_261378,c_258766]) ).
tff(c_261438,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_261410,c_320]) ).
tff(c_261408,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_261380]) ).
tff(c_261452,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_261438,c_261408]) ).
tff(c_142,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_261558,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_261452,c_258764,c_142]) ).
tff(c_261559,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_406,c_412,c_261558]) ).
tff(c_261560,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_261559]) ).
tff(c_261504,plain,
( ( e3 = e2 )
| ( e4 = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_261378,c_259519,c_140]) ).
tff(c_261505,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_258648,c_404,c_406,c_261504]) ).
tff(c_261510,plain,
op(e2,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261505,c_198]) ).
tff(c_261561,plain,
op(e2,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261560,c_261510]) ).
tff(c_261578,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261561,c_258644]) ).
tff(c_261580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_261578]) ).
tff(c_261581,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_261559]) ).
tff(c_261585,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_261581,c_259521]) ).
tff(c_261670,plain,
( ( op(e2,e4) = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_261529,c_258644,c_261585,c_110]) ).
tff(c_261671,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_164529,c_416,c_418,c_414,c_261670]) ).
tff(c_261474,plain,
( ( op(e4,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_261452,c_258644,c_261120,c_104]) ).
tff(c_261475,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_410,c_258688,c_412,c_420,c_261474]) ).
tff(c_261478,plain,
op(op(e2,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_261475,c_156]) ).
tff(c_261674,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_261671,c_261478]) ).
tff(c_261689,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_261674,c_255420]) ).
tff(c_261697,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_261411,c_261689]) ).
tff(c_261698,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_261368]) ).
tff(c_261707,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_261698,c_256]) ).
tff(c_258647,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_358]) ).
tff(c_261893,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e1 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_258764,c_134]) ).
tff(c_261894,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_258368,c_261893]) ).
tff(c_261895,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_261894]) ).
tff(c_261960,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e4 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_261895,c_258764,c_142]) ).
tff(c_261961,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_258647,c_412,c_261960]) ).
tff(c_261964,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_261961,c_259521]) ).
tff(c_261971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_261707,c_261964]) ).
tff(c_261972,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_261894]) ).
tff(c_261702,plain,
op(e4,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261698,c_196]) ).
tff(c_261975,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261972,c_261702]) ).
tff(c_261987,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261975,c_258364]) ).
tff(c_261989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_261987]) ).
tff(c_261990,plain,
( ( op(e2,e3) = e0 )
| ( op(e4,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_261145]) ).
tff(c_262017,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_261990]) ).
tff(c_262020,plain,
op(e0,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_262017,c_162]) ).
tff(c_262170,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_262168,c_262020]) ).
tff(c_262187,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_262170,c_255423]) ).
tff(c_262197,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_262187]) ).
tff(c_262198,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_261990]) ).
tff(c_261123,plain,
op(op(e2,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_261120,c_166]) ).
tff(c_262200,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_262198,c_261123]) ).
tff(c_262210,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_262200]) ).
tff(c_262212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_262210]) ).
tff(c_262213,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_261993]) ).
tff(c_262221,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_262213,c_248]) ).
tff(c_262434,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_258588,c_20]) ).
tff(c_262435,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_262434]) ).
tff(c_262436,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_262435,c_258766]) ).
tff(c_262444,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_262436]) ).
tff(c_262446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_262444]) ).
tff(c_262447,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_262434]) ).
tff(c_262449,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_262447]) ).
tff(c_262451,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_262449,c_258766]) ).
tff(c_262229,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_48]) ).
tff(c_262230,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_262229]) ).
tff(c_262339,plain,
( ( op(e4,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_261120,c_104]) ).
tff(c_262340,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_258770,c_258688,c_412,c_420,c_262339]) ).
tff(c_262215,plain,
op(e0,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_262213,c_156]) ).
tff(c_262341,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_262340,c_262215]) ).
tff(c_262350,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_262230,c_262341]) ).
tff(c_262352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_262350]) ).
tff(c_262353,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_262229]) ).
tff(c_262363,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_262353]) ).
tff(c_262368,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_262363,c_255420]) ).
tff(c_262410,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_262368,c_258689,c_259527,c_256954,c_8]) ).
tff(c_262415,plain,
op(op(e1,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_262410,c_158]) ).
tff(c_262479,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_262451,c_262415]) ).
tff(c_262488,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_261120,c_262479]) ).
tff(c_262490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_262488]) ).
tff(c_262491,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_262447]) ).
tff(c_262495,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_262491,c_258765]) ).
tff(c_262503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262221,c_262495]) ).
tff(c_262504,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_262353]) ).
tff(c_262511,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_262504,c_255423]) ).
tff(c_262520,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_262511]) ).
tff(c_262521,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_259509]) ).
tff(c_262532,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_262521,c_216]) ).
tff(c_262530,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_262521,c_220]) ).
tff(c_262539,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258689,c_262530,c_256954,c_8]) ).
tff(c_262540,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_262539]) ).
tff(c_262548,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_262540,c_364]) ).
tff(c_262818,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_262548,c_258645,c_258650,c_28]) ).
tff(c_262819,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_262818]) ).
tff(c_262597,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_48]) ).
tff(c_262598,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_262597]) ).
tff(c_262698,plain,
( ( e3 = e0 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_262598,c_258683,c_262540,c_116]) ).
tff(c_262699,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_406,c_410,c_258589,c_416,c_262698]) ).
tff(c_262571,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258688,c_258649,c_36]) ).
tff(c_262572,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_262571]) ).
tff(c_262573,plain,
op(e0,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_262572,c_178]) ).
tff(c_262701,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_262699,c_262573]) ).
tff(c_262709,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_262701]) ).
tff(c_262711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_262709]) ).
tff(c_262712,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_262597]) ).
tff(c_262714,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_262712]) ).
tff(c_262719,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_262714,c_255420]) ).
tff(c_262728,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_262540,c_262719]) ).
tff(c_262729,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_262712]) ).
tff(c_262737,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_262729,c_255423]) ).
tff(c_262745,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_258764,c_262737]) ).
tff(c_262746,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_262571]) ).
tff(c_262771,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_262746]) ).
tff(c_262773,plain,
op(e4,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_262771,c_178]) ).
tff(c_262821,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_262819,c_262773]) ).
tff(c_262830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262532,c_262821]) ).
tff(c_262831,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_262818]) ).
tff(c_262774,plain,
op(op(e2,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_262771,c_186]) ).
tff(c_262834,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_262831,c_262774]) ).
tff(c_262847,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_262834,c_258364]) ).
tff(c_262849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_262847]) ).
tff(c_262850,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_262746]) ).
tff(c_262857,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_262850,c_264]) ).
tff(c_262546,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_262540,c_212]) ).
tff(c_262748,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_262546,c_258653,c_258420,c_6]) ).
tff(c_262749,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_262748]) ).
tff(c_262758,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_262749,c_342]) ).
tff(c_262867,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_86]) ).
tff(c_262868,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_258691,c_262758,c_410,c_262867]) ).
tff(c_262869,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_262868]) ).
tff(c_262871,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_262869,c_258766]) ).
tff(c_262880,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_262871]) ).
tff(c_262882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_262880]) ).
tff(c_262884,plain,
op(e3,e0) != e1,
inference(splitRight,[status(thm)],[c_262868]) ).
tff(c_262533,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_262521,c_382]) ).
tff(c_262917,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_252828,c_262884,c_262533,c_258588,c_20]) ).
tff(c_262920,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_262917,c_258766]) ).
tff(c_262929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262857,c_262920]) ).
tff(c_262930,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_262539]) ).
tff(c_262941,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_262930,c_374]) ).
tff(c_262990,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_262941,c_48]) ).
tff(c_262991,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_262990]) ).
tff(c_262963,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_118]) ).
tff(c_262964,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_258579,c_262963]) ).
tff(c_262965,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_262964]) ).
tff(c_262967,plain,
op(op(e0,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_262965,c_190]) ).
tff(c_262993,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_262991,c_262967]) ).
tff(c_263004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258769,c_262993]) ).
tff(c_263005,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_262990]) ).
tff(c_263009,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_263005,c_262967]) ).
tff(c_263020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258768,c_263009]) ).
tff(c_263021,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_262964]) ).
tff(c_263023,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_263021]) ).
tff(c_262935,plain,
op(op(e1,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_262930,c_158]) ).
tff(c_263025,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_263023,c_262935]) ).
tff(c_263034,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_263025]) ).
tff(c_263036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_263034]) ).
tff(c_263037,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_263021]) ).
tff(c_263045,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_263037,c_360]) ).
tff(c_263456,plain,
( ( op(e0,e4) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_258764,c_138]) ).
tff(c_263457,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_262941,c_263045,c_410,c_263456]) ).
tff(c_263498,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_263457,c_258364,c_64]) ).
tff(c_263499,plain,
( ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_258685,c_408,c_263498]) ).
tff(c_263500,plain,
op(e2,e4) = e1,
inference(splitLeft,[status(thm)],[c_263499]) ).
tff(c_263083,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_64]) ).
tff(c_263084,plain,
( ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_258771,c_258685,c_408,c_263083]) ).
tff(c_263085,plain,
op(e2,e4) = e1,
inference(splitLeft,[status(thm)],[c_263084]) ).
tff(c_262937,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_262930,c_212]) ).
tff(c_263057,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258653,c_262937,c_258420,c_6]) ).
tff(c_263058,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_263057]) ).
tff(c_263060,plain,
op(op(e2,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_263058,c_156]) ).
tff(c_263087,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_263085,c_263060]) ).
tff(c_263234,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_263087,c_390]) ).
tff(c_263313,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_252828,c_262533,c_258588,c_263234,c_20]) ).
tff(c_263316,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_263313,c_258766]) ).
tff(c_263322,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_263316]) ).
tff(c_263324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_263322]) ).
tff(c_263325,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_263084]) ).
tff(c_263334,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_263325,c_234]) ).
tff(c_263351,plain,
( ( op(e0,e4) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_258764,c_138]) ).
tff(c_263352,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_262941,c_263045,c_410,c_263351]) ).
tff(c_262524,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_262521,c_160]) ).
tff(c_263353,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_263352,c_262524]) ).
tff(c_263373,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_263353,c_238]) ).
tff(c_263403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252828,c_263334,c_262533,c_258588,c_263373,c_20]) ).
tff(c_263404,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_263057]) ).
tff(c_263407,plain,
op(op(e2,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_263404,c_156]) ).
tff(c_263502,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_263500,c_263407]) ).
tff(c_263510,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_263502]) ).
tff(c_263512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_263510]) ).
tff(c_263513,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_263499]) ).
tff(c_263521,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_263513,c_234]) ).
tff(c_262525,plain,
op(e2,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_262521,c_192]) ).
tff(c_263459,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_263457,c_262525]) ).
tff(c_263491,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_263459,c_242]) ).
tff(c_263551,plain,
( ( e4 = e0 )
| ( e1 = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_263457,c_263513,c_258364,c_68]) ).
tff(c_263552,plain,
op(e1,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_416,c_263491,c_420,c_414,c_263551]) ).
tff(c_262933,plain,
op(e3,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_262930,c_182]) ).
tff(c_263554,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_263552,c_262933]) ).
tff(c_263562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263521,c_263554]) ).
tff(c_263564,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_258763]) ).
tff(c_263563,plain,
( ( op(e2,e3) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_258763]) ).
tff(c_263565,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_263563]) ).
tff(c_263570,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_263565,c_324]) ).
tff(c_106,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_263588,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_106]) ).
tff(c_263589,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_258645,c_412,c_263570,c_263588]) ).
tff(c_263590,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_263589]) ).
tff(c_263594,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_263590,c_386]) ).
tff(c_264925,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_86]) ).
tff(c_264926,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_263594,c_258691,c_410,c_264925]) ).
tff(c_264927,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_264926]) ).
tff(c_264933,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_264927,c_356]) ).
tff(c_264964,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_258687,c_40]) ).
tff(c_264965,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_264964]) ).
tff(c_264942,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_48]) ).
tff(c_264943,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_264942]) ).
tff(c_264946,plain,
op(op(e1,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_264943,c_198]) ).
tff(c_264977,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_264965,c_264946]) ).
tff(c_264978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_264977]) ).
tff(c_264979,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_264964]) ).
tff(c_264989,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_264979]) ).
tff(c_264998,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_264989,c_390]) ).
tff(c_264990,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_264989,c_264946]) ).
tff(c_263596,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_263590,c_254]) ).
tff(c_263605,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_263596,c_258646,c_258363,c_22]) ).
tff(c_263606,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_263605]) ).
tff(c_264851,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( e3 = e0 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_263606,c_258364,c_56]) ).
tff(c_264852,plain,
( ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_258591,c_402,c_264851]) ).
tff(c_264853,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_264852]) ).
tff(c_264862,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_264853,c_288]) ).
tff(c_263569,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_263565,c_206]) ).
tff(c_264651,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_263569,c_258653,c_258420,c_6]) ).
tff(c_264652,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_264651]) ).
tff(c_263608,plain,
op(e0,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_263606,c_156]) ).
tff(c_264653,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_264652,c_263608]) ).
tff(c_264662,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_264653]) ).
tff(c_264664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_264662]) ).
tff(c_264665,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_264651]) ).
tff(c_263609,plain,
op(op(e4,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_263606,c_172]) ).
tff(c_264669,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_264665,c_263609]) ).
tff(c_264634,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_74]) ).
tff(c_264635,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_258366,c_264634]) ).
tff(c_264636,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_264635]) ).
tff(c_264694,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_264669,c_264636]) ).
tff(c_264696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_264694]) ).
tff(c_264698,plain,
op(e3,e0) != e4,
inference(splitRight,[status(thm)],[c_264635]) ).
tff(c_264714,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( e3 = e0 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_263606,c_258364,c_56]) ).
tff(c_264715,plain,
( ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_258591,c_402,c_264714]) ).
tff(c_264716,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_264715]) ).
tff(c_264719,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_264716,c_320]) ).
tff(c_263611,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_263606,c_242]) ).
tff(c_264587,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_263565,c_88]) ).
tff(c_264588,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_252838,c_263611,c_416,c_420,c_264587]) ).
tff(c_264748,plain,
( ( op(e1,e4) = e3 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_264588,c_118]) ).
tff(c_264749,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_264719,c_264748]) ).
tff(c_264750,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_264749]) ).
tff(c_264771,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( e4 = e1 )
| ( e4 = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_264750,c_263590,c_132]) ).
tff(c_264772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_408,c_264698,c_258422,c_264771]) ).
tff(c_264773,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_264749]) ).
tff(c_263613,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_263606,c_248]) ).
tff(c_264602,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_263613,c_258645,c_258650,c_28]) ).
tff(c_264603,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_264602]) ).
tff(c_264605,plain,
op(op(e1,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_264603,c_178]) ).
tff(c_264777,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_264773,c_264605]) ).
tff(c_264803,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_264777,c_258583]) ).
tff(c_264805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_264803]) ).
tff(c_264806,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_264715]) ).
tff(c_263575,plain,
op(e4,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_263565,c_216]) ).
tff(c_264318,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_263575,c_258422,c_10]) ).
tff(c_264319,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_264318]) ).
tff(c_263893,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_118]) ).
tff(c_263894,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_258579,c_263893]) ).
tff(c_263895,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_263894]) ).
tff(c_263900,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_263895,c_274]) ).
tff(c_263921,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( e3 = e0 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_263606,c_258364,c_56]) ).
tff(c_263922,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_263900,c_416,c_258591,c_402,c_263921]) ).
tff(c_263993,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_263922,c_146]) ).
tff(c_263994,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_258690,c_263564,c_410,c_263993]) ).
tff(c_263591,plain,
op(op(e0,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_263590,c_180]) ).
tff(c_263997,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_263994,c_263591]) ).
tff(c_264005,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_263997]) ).
tff(c_264007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_264005]) ).
tff(c_264008,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_263894]) ).
tff(c_264014,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_264008]) ).
tff(c_263637,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e1) = e2 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258689,c_256954,c_8]) ).
tff(c_263638,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_263637]) ).
tff(c_263639,plain,
op(e0,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_263638,c_182]) ).
tff(c_264016,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_264014,c_263639]) ).
tff(c_264026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263564,c_264016]) ).
tff(c_264028,plain,
op(e1,e4) != e3,
inference(splitRight,[status(thm)],[c_264008]) ).
tff(c_264027,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_264008]) ).
tff(c_263642,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_263638,c_212]) ).
tff(c_263854,plain,
op(e4,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_263642,c_263569,c_258653,c_258420,c_6]) ).
tff(c_263857,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_263854,c_263609]) ).
tff(c_263747,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_263594,c_258588,c_20]) ).
tff(c_263748,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_263747]) ).
tff(c_263779,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_263748,c_258583,c_86]) ).
tff(c_263780,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_258691,c_410,c_263779]) ).
tff(c_263781,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_263780]) ).
tff(c_263787,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_263781,c_356]) ).
tff(c_263660,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_263613,c_258645,c_258650,c_28]) ).
tff(c_263661,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_263660]) ).
tff(c_263669,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_263661,c_378]) ).
tff(c_263678,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_263679,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_263669,c_258590,c_263678]) ).
tff(c_263680,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_263679]) ).
tff(c_263685,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_263680,c_354]) ).
tff(c_263727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263642,c_263569,c_258653,c_263685,c_258420,c_6]) ).
tff(c_263728,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_263679]) ).
tff(c_263805,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_263728,c_146]) ).
tff(c_263806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_258690,c_263787,c_263564,c_410,c_263805]) ).
tff(c_263807,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_263780]) ).
tff(c_263567,plain,
op(e1,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_263565,c_162]) ).
tff(c_263811,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_263807,c_263567]) ).
tff(c_263818,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_263811]) ).
tff(c_263820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_263818]) ).
tff(c_263821,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_263747]) ).
tff(c_263871,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_263857,c_263821]) ).
tff(c_263873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_263871]) ).
tff(c_263874,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_263660]) ).
tff(c_263877,plain,
op(op(e1,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_263874,c_178]) ).
tff(c_264030,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_264027,c_263877]) ).
tff(c_264247,plain,
( ( e4 = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_263606,c_264030,c_258364,c_56]) ).
tff(c_264248,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_264028,c_416,c_406,c_402,c_264247]) ).
tff(c_264251,plain,
op(op(e4,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_264248,c_192]) ).
tff(c_264320,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_264319,c_264251]) ).
tff(c_264328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263611,c_264320]) ).
tff(c_264329,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_264318]) ).
tff(c_264250,plain,
op(e3,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_264248,c_160]) ).
tff(c_264332,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_264329,c_264250]) ).
tff(c_264338,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_264332]) ).
tff(c_264340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_264338]) ).
tff(c_264341,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_263637]) ).
tff(c_264343,plain,
op(e4,e1) = e3,
inference(splitLeft,[status(thm)],[c_264341]) ).
tff(c_264348,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_264343,c_212]) ).
tff(c_264550,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_263569,c_258653,c_264348,c_258420,c_6]) ).
tff(c_264552,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_264550,c_263608]) ).
tff(c_264559,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_264552]) ).
tff(c_264561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_264559]) ).
tff(c_264562,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_264341]) ).
tff(c_264566,plain,
op(e2,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_264562,c_182]) ).
tff(c_264809,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_264806,c_264566]) ).
tff(c_264819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263570,c_264809]) ).
tff(c_264820,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_264602]) ).
tff(c_264877,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_264820,c_264562,c_116]) ).
tff(c_264878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264862,c_410,c_402,c_258589,c_406,c_264877]) ).
tff(c_264879,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_264852]) ).
tff(c_264882,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_264879,c_264566]) ).
tff(c_264891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263570,c_264882]) ).
tff(c_264892,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_263605]) ).
tff(c_264895,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_264892,c_156]) ).
tff(c_265004,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_264990,c_264895]) ).
tff(c_265014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264998,c_265004]) ).
tff(c_265015,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_264979]) ).
tff(c_264944,plain,
op(e2,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_264943,c_190]) ).
tff(c_265018,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_265015,c_264944]) ).
tff(c_265028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263570,c_265018]) ).
tff(c_265029,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_264942]) ).
tff(c_265031,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_265029]) ).
tff(c_265037,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_265031,c_255423]) ).
tff(c_265134,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_263569,c_258653,c_258420,c_6]) ).
tff(c_265135,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_265134]) ).
tff(c_264896,plain,
op(op(e4,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_264892,c_172]) ).
tff(c_265137,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_265135,c_264896]) ).
tff(c_265212,plain,
( ( op(e0,e4) = e1 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e4 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_265031,c_265137,c_146]) ).
tff(c_265213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_408,c_264933,c_412,c_265037,c_265212]) ).
tff(c_265214,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_265134]) ).
tff(c_265216,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_265214,c_264895]) ).
tff(c_265225,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_265216]) ).
tff(c_265227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_265225]) ).
tff(c_265228,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_265029]) ).
tff(c_265234,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_265228,c_255420]) ).
tff(c_264937,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_264927,c_224]) ).
tff(c_265367,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_264892,c_258364,c_64]) ).
tff(c_265368,plain,
op(e0,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_258685,c_410,c_264937,c_408,c_265367]) ).
tff(c_265398,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e1,e4) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_265368,c_264892,c_258364,c_68]) ).
tff(c_265399,plain,
( ( op(e3,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_414,c_265398]) ).
tff(c_265400,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_265399]) ).
tff(c_265409,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_265400,c_310]) ).
tff(c_265264,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_263594,c_258588,c_20]) ).
tff(c_265265,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_265264]) ).
tff(c_265271,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_265265,c_390]) ).
tff(c_265293,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_263565,c_88]) ).
tff(c_265294,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_416,c_420,c_265293]) ).
tff(c_265295,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_265294]) ).
tff(c_265299,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_265295,c_262]) ).
tff(c_265317,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_264892,c_258364,c_68]) ).
tff(c_265318,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_50476,c_265299,c_416,c_414,c_265317]) ).
tff(c_263566,plain,
op(op(e3,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_263565,c_154]) ).
tff(c_265322,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_265318,c_263566]) ).
tff(c_265328,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_265228,c_265322]) ).
tff(c_265330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_265328]) ).
tff(c_265331,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_265294]) ).
tff(c_264928,plain,
op(e1,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_264927,c_174]) ).
tff(c_265333,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_265331,c_264928]) ).
tff(c_265342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_265271,c_265333]) ).
tff(c_265343,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_265264]) ).
tff(c_265422,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_265343,c_264927,c_258583,c_90]) ).
tff(c_265423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_265234,c_420,c_416,c_265409,c_265422]) ).
tff(c_265424,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_265399]) ).
tff(c_265428,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_265424,c_263566]) ).
tff(c_265433,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_265228,c_265428]) ).
tff(c_265435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_265433]) ).
tff(c_265436,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_264926]) ).
tff(c_265438,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_265436,c_263567]) ).
tff(c_265447,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_265438]) ).
tff(c_265449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_265447]) ).
tff(c_265450,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_263589]) ).
tff(c_265461,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_265450,c_318]) ).
tff(c_265451,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_263589]) ).
tff(c_136,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_265474,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_136]) ).
tff(c_265475,plain,
( ( op(e4,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_258588,c_265474]) ).
tff(c_265476,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_265475]) ).
tff(c_265484,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_265476,c_392]) ).
tff(c_265516,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_48]) ).
tff(c_265517,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_265516]) ).
tff(c_265477,plain,
op(op(e0,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_265476,c_190]) ).
tff(c_265519,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_265517,c_265477]) ).
tff(c_265530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263570,c_265519]) ).
tff(c_265531,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_265516]) ).
tff(c_265541,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_265531]) ).
tff(c_265546,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_265541,c_255420]) ).
tff(c_265553,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_265541,c_376]) ).
tff(c_265692,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_258588,c_20]) ).
tff(c_265693,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_265692]) ).
tff(c_265479,plain,
op(e3,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_265476,c_198]) ).
tff(c_265543,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_265541,c_265479]) ).
tff(c_265730,plain,
( ( e4 = e0 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_265693,c_258583,c_265543,c_74]) ).
tff(c_265731,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_265553,c_402,c_414,c_265730]) ).
tff(c_265596,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_263565,c_88]) ).
tff(c_265597,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_416,c_420,c_265596]) ).
tff(c_265598,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_265597]) ).
tff(c_265649,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_263569,c_258653,c_258420,c_6]) ).
tff(c_265650,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_265649]) ).
tff(c_265452,plain,
op(e1,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_265450,c_156]) ).
tff(c_265651,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_265650,c_265452]) ).
tff(c_265660,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_265476,c_265651]) ).
tff(c_265662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_265660]) ).
tff(c_265663,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_265649]) ).
tff(c_265665,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_265663,c_265452]) ).
tff(c_265674,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_265598,c_265665]) ).
tff(c_265676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_265674]) ).
tff(c_265677,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_265597]) ).
tff(c_265680,plain,
op(op(e3,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_265677,c_174]) ).
tff(c_265733,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_265731,c_265680]) ).
tff(c_265753,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_265733,c_220]) ).
tff(c_265810,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_263569,c_258653,c_258420,c_6]) ).
tff(c_265811,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_265810]) ).
tff(c_265812,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_265811,c_265452]) ).
tff(c_265819,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_265476,c_265812]) ).
tff(c_265821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_265819]) ).
tff(c_265822,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_265810]) ).
tff(c_265828,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_265822,c_212]) ).
tff(c_265870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_265546,c_258689,c_265753,c_265828,c_256954,c_8]) ).
tff(c_265871,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_265692]) ).
tff(c_265881,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_265871]) ).
tff(c_265886,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_265881,c_386]) ).
tff(c_265895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164529,c_265451,c_258648,c_265484,c_265886,c_30]) ).
tff(c_265896,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_265871]) ).
tff(c_265907,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_265896,c_382]) ).
tff(c_265920,plain,
( ( e4 = e0 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_265896,c_258583,c_265543,c_74]) ).
tff(c_265921,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_404,c_265553,c_402,c_414,c_265920]) ).
tff(c_265922,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_265921,c_265680]) ).
tff(c_265932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_265907,c_265922]) ).
tff(c_265933,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_265531]) ).
tff(c_265936,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_265933,c_265479]) ).
tff(c_265952,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_265936,c_258583]) ).
tff(c_265954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_265952]) ).
tff(c_265956,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_265475]) ).
tff(c_265955,plain,
( ( op(e2,e0) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_265475]) ).
tff(c_265957,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_265955]) ).
tff(c_265965,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_265957,c_220]) ).
tff(c_44,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_266259,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_263564,c_258590,c_44]) ).
tff(c_266260,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_266259]) ).
tff(c_265459,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_265450,c_306]) ).
tff(c_265972,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_86]) ).
tff(c_265973,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_258691,c_410,c_265459,c_265972]) ).
tff(c_265974,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_265973]) ).
tff(c_265975,plain,
op(e1,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_265974,c_194]) ).
tff(c_266262,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_266260,c_265975]) ).
tff(c_266293,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_266262,c_348]) ).
tff(c_265966,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_265957,c_218]) ).
tff(c_266375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266293,c_263569,c_258653,c_265966,c_258420,c_6]) ).
tff(c_266376,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_266259]) ).
tff(c_265976,plain,
op(op(e0,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_265974,c_170]) ).
tff(c_266379,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_266376,c_265976]) ).
tff(c_266390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_265965,c_266379]) ).
tff(c_266391,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_265973]) ).
tff(c_266398,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_266391,c_356]) ).
tff(c_266641,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_266642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_258690,c_266398,c_263564,c_265461,c_266641]) ).
tff(c_266643,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_265955]) ).
tff(c_267019,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( e4 = e3 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_266643,c_132]) ).
tff(c_267020,plain,
( ( op(e3,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_258422,c_267019]) ).
tff(c_267021,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_267020]) ).
tff(c_266667,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_48]) ).
tff(c_266668,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_266667]) ).
tff(c_266673,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_266668,c_255423]) ).
tff(c_266742,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( e4 = e3 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_266643,c_132]) ).
tff(c_266743,plain,
( ( op(e3,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_258422,c_266742]) ).
tff(c_266744,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_266743]) ).
tff(c_266671,plain,
op(op(e1,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_266668,c_198]) ).
tff(c_266745,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_266744,c_266671]) ).
tff(c_266780,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_266745,c_104]) ).
tff(c_266781,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_266673,c_258688,c_412,c_420,c_266780]) ).
tff(c_266644,plain,
op(e4,e0) != e3,
inference(splitRight,[status(thm)],[c_265955]) ).
tff(c_266812,plain,
op(e4,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_208865,c_263575,c_266644,c_258422,c_10]) ).
tff(c_266718,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( e3 = e1 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_265450,c_258364,c_56]) ).
tff(c_266719,plain,
( ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_258591,c_402,c_266718]) ).
tff(c_266720,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_266719]) ).
tff(c_266723,plain,
op(e3,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_266720,c_160]) ).
tff(c_266813,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_266812,c_266723]) ).
tff(c_266821,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_266781,c_266813]) ).
tff(c_266823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_266821]) ).
tff(c_266824,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_266743]) ).
tff(c_266677,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_266668,c_290]) ).
tff(c_266693,plain,
op(e0,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_252838,c_263564,c_266677,c_258590,c_44]) ).
tff(c_266697,plain,
op(e4,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_266693,c_170]) ).
tff(c_266827,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_266824,c_266697]) ).
tff(c_266841,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_266827,c_258364]) ).
tff(c_266843,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_266841]) ).
tff(c_266845,plain,
op(e0,e4) != e3,
inference(splitRight,[status(thm)],[c_266719]) ).
tff(c_266903,plain,
( ( op(e0,e4) = e3 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_266668,c_266693,c_138]) ).
tff(c_266904,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_406,c_402,c_266845,c_266903]) ).
tff(c_266647,plain,
op(e3,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_266643,c_196]) ).
tff(c_266907,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_266904,c_266647]) ).
tff(c_266918,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_266907,c_258583]) ).
tff(c_266920,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_266918]) ).
tff(c_266921,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_266667]) ).
tff(c_266923,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_266921]) ).
tff(c_266927,plain,
op(op(e1,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_266923,c_198]) ).
tff(c_267022,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_267021,c_266927]) ).
tff(c_267035,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_267022,c_258364]) ).
tff(c_267037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_267035]) ).
tff(c_267039,plain,
op(e1,e0) != e4,
inference(splitRight,[status(thm)],[c_267020]) ).
tff(c_267063,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_85117,c_258687,c_265956,c_267039,c_40]) ).
tff(c_266925,plain,
op(e4,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_266923,c_190]) ).
tff(c_267066,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_267063,c_266925]) ).
tff(c_267074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263569,c_267066]) ).
tff(c_267075,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_266921]) ).
tff(c_267491,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_267075,c_146]) ).
tff(c_267492,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_410,c_263564,c_265461,c_267491]) ).
tff(c_267494,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_267492,c_266647]) ).
tff(c_267271,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_258588,c_20]) ).
tff(c_267272,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_267271]) ).
tff(c_267276,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_267272,c_238]) ).
tff(c_267329,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_258687,c_265956,c_40]) ).
tff(c_267330,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_267329]) ).
tff(c_267078,plain,
op(e3,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_267075,c_190]) ).
tff(c_267332,plain,
op(e3,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_267330,c_267078]) ).
tff(c_267341,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_267276,c_267332]) ).
tff(c_267342,plain,
op(e1,e0) = e4,
inference(splitRight,[status(thm)],[c_267329]) ).
tff(c_267345,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_267342,c_267078]) ).
tff(c_267353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_265459,c_267345]) ).
tff(c_267354,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_267271]) ).
tff(c_267364,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_267354]) ).
tff(c_267371,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_267364,c_390]) ).
tff(c_267387,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_263569,c_258653,c_258420,c_6]) ).
tff(c_267388,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_267387]) ).
tff(c_267389,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_267388,c_265452]) ).
tff(c_267400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_267371,c_267389]) ).
tff(c_267401,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_267387]) ).
tff(c_265453,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_265450,c_172]) ).
tff(c_267404,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_267401,c_265453]) ).
tff(c_267505,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_267494,c_267404]) ).
tff(c_267507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_267505]) ).
tff(c_267508,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_267354]) ).
tff(c_267516,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_267508,c_390]) ).
tff(c_267519,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_267508,c_382]) ).
tff(c_258651,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_346]) ).
tff(c_258587,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_226]) ).
tff(c_267776,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258651,c_258587,c_16]) ).
tff(c_267777,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_267776]) ).
tff(c_267105,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_263565,c_88]) ).
tff(c_267106,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_416,c_420,c_267105]) ).
tff(c_267107,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_267106]) ).
tff(c_267144,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( e4 = e3 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_266643,c_132]) ).
tff(c_267145,plain,
( ( op(e3,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_258422,c_267144]) ).
tff(c_267146,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_267145]) ).
tff(c_267148,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_267146,c_267078]) ).
tff(c_267156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_265459,c_267148]) ).
tff(c_267158,plain,
op(e1,e0) != e4,
inference(splitRight,[status(thm)],[c_267145]) ).
tff(c_267230,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_263569,c_258653,c_258420,c_6]) ).
tff(c_267231,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_267230]) ).
tff(c_267232,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_267231,c_265452]) ).
tff(c_267242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_267158,c_267232]) ).
tff(c_267243,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_267230]) ).
tff(c_267245,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_267243,c_265452]) ).
tff(c_267254,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_267107,c_267245]) ).
tff(c_267256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_267254]) ).
tff(c_267257,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_267106]) ).
tff(c_267260,plain,
op(op(e3,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_267257,c_174]) ).
tff(c_267780,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_267777,c_267260]) ).
tff(c_267788,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_267780]) ).
tff(c_267790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_267788]) ).
tff(c_267791,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_267776]) ).
tff(c_267793,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_267791]) ).
tff(c_267795,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_267793,c_267260]) ).
tff(c_267804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_267519,c_267795]) ).
tff(c_267805,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_267791]) ).
tff(c_267808,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_267805,c_267260]) ).
tff(c_267817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_267516,c_267808]) ).
tff(c_267818,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_263563]) ).
tff(c_269242,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_267818,c_258583,c_88]) ).
tff(c_269243,plain,
( ( op(e4,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_420,c_416,c_269242]) ).
tff(c_269244,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_269243]) ).
tff(c_267869,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_267868,c_184]) ).
tff(c_269246,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_269244,c_267869]) ).
tff(c_269253,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_269246]) ).
tff(c_269255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_269253]) ).
tff(c_269256,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_269243]) ).
tff(c_268982,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_268966]) ).
tff(c_268984,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_268982]) ).
tff(c_267848,plain,
op(op(e0,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_267847,c_160]) ).
tff(c_268988,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_268984,c_267848]) ).
tff(c_268996,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_267868,c_268988]) ).
tff(c_268998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_268996]) ).
tff(c_269000,plain,
op(e0,e4) != e3,
inference(splitRight,[status(thm)],[c_268982]) ).
tff(c_267877,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_267868,c_228]) ).
tff(c_267897,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_68]) ).
tff(c_267898,plain,
( ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_267877,c_414,c_267897]) ).
tff(c_267899,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_267898]) ).
tff(c_267906,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_267899,c_262]) ).
tff(c_268275,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( e3 = e0 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_267899,c_258364,c_56]) ).
tff(c_268276,plain,
( ( op(e2,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_258591,c_402,c_268275]) ).
tff(c_268277,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_268276]) ).
tff(c_267849,plain,
op(e1,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_267847,c_192]) ).
tff(c_268279,plain,
op(e1,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_268277,c_267849]) ).
tff(c_268288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_267906,c_268279]) ).
tff(c_268290,plain,
op(e0,e4) != e3,
inference(splitRight,[status(thm)],[c_268276]) ).
tff(c_267922,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_104]) ).
tff(c_267923,plain,
( ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_258688,c_412,c_267855,c_267922]) ).
tff(c_267924,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_267923]) ).
tff(c_268343,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_267924,c_138]) ).
tff(c_268344,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_258590,c_268290,c_268343]) ).
tff(c_268348,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_268344,c_255420]) ).
tff(c_268357,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_267868,c_268348]) ).
tff(c_268358,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_267923]) ).
tff(c_267820,plain,
op(op(e3,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_267818,c_174]) ).
tff(c_268361,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_268358,c_267820]) ).
tff(c_268370,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_268361]) ).
tff(c_268372,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_268370]) ).
tff(c_268373,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_267898]) ).
tff(c_269023,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( e3 = e0 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_268373,c_258364,c_56]) ).
tff(c_269024,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_269000,c_416,c_258591,c_402,c_269023]) ).
tff(c_269203,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_269024,c_268373,c_258364,c_64]) ).
tff(c_269204,plain,
( ( op(e3,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_420,c_408,c_269203]) ).
tff(c_269205,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_269204]) ).
tff(c_269208,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_269205,c_267848]) ).
tff(c_269214,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_269208]) ).
tff(c_269216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_269214]) ).
tff(c_269217,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_269204]) ).
tff(c_269223,plain,
op(op(e4,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_269217,c_162]) ).
tff(c_269258,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_269256,c_269223]) ).
tff(c_269268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268983,c_269258]) ).
tff(c_269269,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_267867]) ).
tff(c_269275,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_269269]) ).
tff(c_269284,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_269275,c_306]) ).
tff(c_267857,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_267847,c_382]) ).
tff(c_269405,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_267857,c_258588,c_20]) ).
tff(c_269406,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_269405]) ).
tff(c_269298,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_134]) ).
tff(c_269299,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_258368,c_269298]) ).
tff(c_269300,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_269299]) ).
tff(c_269307,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_269300,c_255423]) ).
tff(c_267825,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_267818,c_242]) ).
tff(c_269350,plain,
( ( e4 = e1 )
| ( e1 = e0 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_269275,c_258364,c_64]) ).
tff(c_269351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_269307,c_258685,c_267825,c_420,c_408,c_269350]) ).
tff(c_269352,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_269299]) ).
tff(c_269354,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_269352]) ).
tff(c_269356,plain,
op(op(e3,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_269354,c_194]) ).
tff(c_269407,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_269406,c_269356]) ).
tff(c_269417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_269284,c_269407]) ).
tff(c_269418,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_269405]) ).
tff(c_269421,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_269418,c_269356]) ).
tff(c_269434,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_269421,c_258364]) ).
tff(c_269436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_269434]) ).
tff(c_269437,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_269352]) ).
tff(c_269700,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_269437,c_258644,c_104]) ).
tff(c_269701,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_258688,c_412,c_267855,c_269700]) ).
tff(c_269704,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_269701,c_267820]) ).
tff(c_269711,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_269704]) ).
tff(c_269713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_269711]) ).
tff(c_269714,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_269269]) ).
tff(c_269716,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_269714,c_267820]) ).
tff(c_269734,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_269716,c_255423]) ).
tff(c_269878,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_269714,c_258583,c_86]) ).
tff(c_269879,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_267857,c_258691,c_420,c_410,c_269878]) ).
tff(c_269889,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_269879,c_316]) ).
tff(c_269720,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_269714,c_350]) ).
tff(c_267821,plain,
op(e1,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_267818,c_166]) ).
tff(c_269717,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_269714,c_267821]) ).
tff(c_269749,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_269717,c_278]) ).
tff(c_269761,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_269716,c_134]) ).
tff(c_269762,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_258368,c_269761]) ).
tff(c_269763,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_269762]) ).
tff(c_269769,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_269763,c_360]) ).
tff(c_269851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_269720,c_258688,c_258649,c_269749,c_269769,c_36]) ).
tff(c_269852,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_269762]) ).
tff(c_269918,plain,
( ( op(e0,e4) = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_269716,c_269852,c_146]) ).
tff(c_269919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_412,c_269734,c_408,c_269889,c_269918]) ).
tff(c_269920,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_267846]) ).
tff(c_269922,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_269920]) ).
tff(c_269928,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_269922,c_388]) ).
tff(c_270396,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_90]) ).
tff(c_270397,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_416,c_270396]) ).
tff(c_270398,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_270397]) ).
tff(c_271094,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_270398,c_258583,c_86]) ).
tff(c_271095,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_410,c_271094]) ).
tff(c_271096,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_271095]) ).
tff(c_271101,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_271096,c_238]) ).
tff(c_269930,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_269922,c_220]) ).
tff(c_271181,plain,
( ( op(e4,e1) = e3 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_270398,c_116]) ).
tff(c_271182,plain,
( ( op(e2,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_269930,c_271181]) ).
tff(c_271183,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_271182]) ).
tff(c_271133,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_271096,c_269922,c_140]) ).
tff(c_271134,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_258648,c_412,c_406,c_271133]) ).
tff(c_271136,plain,
op(op(e0,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_271134,c_190]) ).
tff(c_271185,plain,
op(e3,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_271183,c_271136]) ).
tff(c_271196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_271101,c_271185]) ).
tff(c_271197,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_271182]) ).
tff(c_269946,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_267818,c_258583,c_88]) ).
tff(c_269947,plain,
( ( op(e4,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_420,c_416,c_269946]) ).
tff(c_269948,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_269947]) ).
tff(c_269952,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_269948,c_328]) ).
tff(c_270021,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_134]) ).
tff(c_270022,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_258368,c_270021]) ).
tff(c_270023,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_270022]) ).
tff(c_269970,plain,
( ( e3 = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_269922,c_140]) ).
tff(c_269971,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_258648,c_406,c_269970]) ).
tff(c_269972,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_269971]) ).
tff(c_269974,plain,
op(op(e0,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_269972,c_190]) ).
tff(c_270024,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_270023,c_269974]) ).
tff(c_270048,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_270024,c_354]) ).
tff(c_270028,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_270023,c_255423]) ).
tff(c_270127,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e4 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_270023,c_146]) ).
tff(c_270128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_408,c_270048,c_263564,c_270028,c_270127]) ).
tff(c_270129,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_270022]) ).
tff(c_270131,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_270129]) ).
tff(c_270155,plain,
( ( op(e0,e4) = e3 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_270131,c_138]) ).
tff(c_270156,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_270155]) ).
tff(c_270157,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_270156]) ).
tff(c_270159,plain,
op(e3,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_270157,c_269974]) ).
tff(c_270175,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_270159,c_267820]) ).
tff(c_270185,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_270175]) ).
tff(c_270187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_270185]) ).
tff(c_270189,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_270156]) ).
tff(c_270130,plain,
op(e0,e1) != e4,
inference(splitRight,[status(thm)],[c_270022]) ).
tff(c_270204,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_270189,c_270130,c_48]) ).
tff(c_270207,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_270204,c_269974]) ).
tff(c_270222,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_270207,c_258644]) ).
tff(c_270224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_270222]) ).
tff(c_270226,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_269971]) ).
tff(c_270342,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_85117,c_258687,c_270226,c_269928,c_40]) ).
tff(c_270308,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_85117,c_258687,c_270226,c_269928,c_40]) ).
tff(c_269931,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_269922,c_218]) ).
tff(c_270248,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_48]) ).
tff(c_270249,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_270248]) ).
tff(c_270258,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_270249,c_290]) ).
tff(c_270276,plain,
op(e0,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_252838,c_263564,c_270258,c_258590,c_44]) ).
tff(c_270225,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_269971]) ).
tff(c_270228,plain,
op(op(e0,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_270225,c_170]) ).
tff(c_270279,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_270276,c_270228]) ).
tff(c_270287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_269931,c_270279]) ).
tff(c_270288,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_270248]) ).
tff(c_270290,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_270288]) ).
tff(c_270294,plain,
op(op(e1,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_270290,c_198]) ).
tff(c_270320,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_270308,c_270294]) ).
tff(c_270321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_270320]) ).
tff(c_270322,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_270288]) ).
tff(c_270327,plain,
op(op(e1,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_270322,c_198]) ).
tff(c_270369,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_270342,c_270327]) ).
tff(c_270370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_269952,c_270369]) ).
tff(c_270371,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_269947]) ).
tff(c_271061,plain,
( ( op(e4,e1) = e3 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_270398,c_116]) ).
tff(c_271062,plain,
( ( op(e2,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_269930,c_271061]) ).
tff(c_271063,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_271062]) ).
tff(c_271067,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_271063,c_255420]) ).
tff(c_271077,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_270398,c_271067]) ).
tff(c_271078,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_271062]) ).
tff(c_270404,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_270398,c_366]) ).
tff(c_267826,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_267818,c_256]) ).
tff(c_269926,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_269922,c_384]) ).
tff(c_270692,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_164529,c_267826,c_258648,c_269926,c_30]) ).
tff(c_270699,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_270692,c_260]) ).
tff(c_270803,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_270404,c_258645,c_258650,c_270699,c_28]) ).
tff(c_270413,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258688,c_258649,c_36]) ).
tff(c_270414,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_270413]) ).
tff(c_270415,plain,
op(e0,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_270414,c_178]) ).
tff(c_270805,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_270803,c_270415]) ).
tff(c_270445,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_258687,c_269928,c_40]) ).
tff(c_270446,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_270445]) ).
tff(c_270460,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_263564,c_258590,c_44]) ).
tff(c_270461,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_270460]) ).
tff(c_270469,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_270461,c_290]) ).
tff(c_270491,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_270398,c_258583,c_86]) ).
tff(c_270492,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_410,c_270491]) ).
tff(c_270493,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_270492]) ).
tff(c_270464,plain,
op(e2,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_270461,c_170]) ).
tff(c_270495,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_270493,c_270464]) ).
tff(c_270515,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_270495,c_378]) ).
tff(c_270573,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_270469,c_270515,c_48]) ).
tff(c_270580,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_270573,c_255423]) ).
tff(c_270501,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_270493,c_234]) ).
tff(c_270419,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_270414,c_264]) ).
tff(c_270407,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_270398,c_228]) ).
tff(c_270522,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_68]) ).
tff(c_270523,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_50476,c_270419,c_270407,c_414,c_270522]) ).
tff(c_270604,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( e1 = e0 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_270523,c_258364,c_64]) ).
tff(c_270605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270580,c_258685,c_420,c_270501,c_408,c_270604]) ).
tff(c_270606,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_270492]) ).
tff(c_270608,plain,
op(e3,e4) = e1,
inference(splitLeft,[status(thm)],[c_270606]) ).
tff(c_270374,plain,
op(op(e3,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_270371,c_154]) ).
tff(c_270611,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_270608,c_270374]) ).
tff(c_270619,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_270446,c_270611]) ).
tff(c_270621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_270619]) ).
tff(c_270622,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_270606]) ).
tff(c_270625,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_270622,c_267820]) ).
tff(c_270633,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_270625]) ).
tff(c_270635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_270633]) ).
tff(c_270636,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_270460]) ).
tff(c_270815,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_270805,c_270636]) ).
tff(c_270817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_270815]) ).
tff(c_270818,plain,
op(e1,e0) = e4,
inference(splitRight,[status(thm)],[c_270445]) ).
tff(c_270824,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_270818,c_276]) ).
tff(c_270377,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_270371,c_206]) ).
tff(c_270933,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_270377,c_258653,c_269931,c_258420,c_6]) ).
tff(c_270940,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_270933,c_354]) ).
tff(c_270945,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_270946,plain,
op(e0,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_258690,c_270940,c_263564,c_270945]) ).
tff(c_269924,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_269922,c_160]) ).
tff(c_270948,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_270946,c_269924]) ).
tff(c_270957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270824,c_270948]) ).
tff(c_270958,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_270413]) ).
tff(c_270968,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_270958]) ).
tff(c_270970,plain,
op(e4,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_270968,c_178]) ).
tff(c_271081,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_271078,c_270970]) ).
tff(c_271089,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_270371,c_271081]) ).
tff(c_271091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_271089]) ).
tff(c_271092,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_270958]) ).
tff(c_271110,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_271092,c_178]) ).
tff(c_271199,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_271197,c_271110]) ).
tff(c_271212,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_271199,c_258583]) ).
tff(c_271214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_271212]) ).
tff(c_271215,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_271095]) ).
tff(c_271243,plain,
op(e3,e4) = e1,
inference(splitLeft,[status(thm)],[c_271215]) ).
tff(c_270375,plain,
op(e0,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_270371,c_162]) ).
tff(c_271245,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_271243,c_270375]) ).
tff(c_271272,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_271245,c_255420]) ).
tff(c_271282,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_270398,c_271272]) ).
tff(c_271283,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_271215]) ).
tff(c_271303,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_271283,c_267820]) ).
tff(c_271311,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_271303]) ).
tff(c_271313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_271311]) ).
tff(c_271314,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_270397]) ).
tff(c_271316,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_271314]) ).
tff(c_271317,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_271316,c_270375]) ).
tff(c_271327,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_271317]) ).
tff(c_271329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_271327]) ).
tff(c_271330,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_271314]) ).
tff(c_271333,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_271330,c_267821]) ).
tff(c_271343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_269928,c_271333]) ).
tff(c_271344,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_269920]) ).
tff(c_271353,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_271344,c_220]) ).
tff(c_272255,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_90]) ).
tff(c_272256,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_416,c_272255]) ).
tff(c_272257,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_272256]) ).
tff(c_272263,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_272257,c_366]) ).
tff(c_267819,plain,
op(e4,e3) != e1,
inference(splitRight,[status(thm)],[c_263563]) ).
tff(c_271383,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258644,c_104]) ).
tff(c_271384,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_258688,c_412,c_271383]) ).
tff(c_271385,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_271384]) ).
tff(c_271782,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_258690,c_48]) ).
tff(c_271783,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_271782]) ).
tff(c_271788,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_271783,c_255423]) ).
tff(c_271798,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_271385,c_271788]) ).
tff(c_271799,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_271782]) ).
tff(c_271809,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_271799]) ).
tff(c_271362,plain,
( ( e3 = e2 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_271344,c_136]) ).
tff(c_271363,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_258588,c_406,c_271362]) ).
tff(c_271364,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_271363]) ).
tff(c_271365,plain,
op(op(e0,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_271364,c_190]) ).
tff(c_271811,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_271809,c_271365]) ).
tff(c_271823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_267819,c_271811]) ).
tff(c_271824,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_271799]) ).
tff(c_271828,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_271824,c_271365]) ).
tff(c_271843,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_271828,c_258583]) ).
tff(c_271845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_271843]) ).
tff(c_271847,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_271384]) ).
tff(c_271884,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_263564,c_258590,c_44]) ).
tff(c_271885,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_271884]) ).
tff(c_271895,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_271885,c_340]) ).
tff(c_271369,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_271364,c_274]) ).
tff(c_271935,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258364,c_56]) ).
tff(c_271936,plain,
( ( op(e2,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_271369,c_258591,c_402,c_271935]) ).
tff(c_271937,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_271936]) ).
tff(c_271347,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_271344,c_160]) ).
tff(c_271939,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_271937,c_271347]) ).
tff(c_271954,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_271939,c_267820]) ).
tff(c_271963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_271353,c_271954]) ).
tff(c_271964,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_271936]) ).
tff(c_271846,plain,
( ( op(e3,e2) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_271384]) ).
tff(c_271860,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_271846]) ).
tff(c_271864,plain,
op(e1,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_271860,c_172]) ).
tff(c_271966,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_271964,c_271864]) ).
tff(c_271977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_271895,c_271966]) ).
tff(c_271978,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_271884]) ).
tff(c_272280,plain,
( ( op(e0,e4) = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_271978,c_146]) ).
tff(c_272281,plain,
op(e0,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_258690,c_271847,c_408,c_272280]) ).
tff(c_271348,plain,
op(e2,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_271344,c_192]) ).
tff(c_272283,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_272281,c_271348]) ).
tff(c_272292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272263,c_272283]) ).
tff(c_272293,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_272256]) ).
tff(c_272295,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_272293]) ).
tff(c_272003,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_271978,c_267818,c_258583,c_88]) ).
tff(c_272004,plain,
( ( op(e4,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_420,c_416,c_272003]) ).
tff(c_272005,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_272004]) ).
tff(c_272011,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_272005,c_262]) ).
tff(c_271356,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_271344,c_382]) ).
tff(c_272203,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_271356,c_258588,c_20]) ).
tff(c_272204,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_272203]) ).
tff(c_271981,plain,
op(op(e3,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_271978,c_194]) ).
tff(c_272206,plain,
op(e1,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_272204,c_271981]) ).
tff(c_272214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272011,c_272206]) ).
tff(c_272215,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_272203]) ).
tff(c_271982,plain,
op(e4,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_271978,c_170]) ).
tff(c_272217,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_272215,c_271982]) ).
tff(c_272230,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_272217,c_258364]) ).
tff(c_272232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_272230]) ).
tff(c_272233,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_272004]) ).
tff(c_272237,plain,
op(op(e3,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_272233,c_154]) ).
tff(c_272296,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_272295,c_272237]) ).
tff(c_272306,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_272296]) ).
tff(c_272308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_272306]) ).
tff(c_272309,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_272293]) ).
tff(c_272312,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_272309,c_267820]) ).
tff(c_272330,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_272312,c_255420]) ).
tff(c_272346,plain,
( ( op(e0,e4) = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_272312,c_271978,c_146]) ).
tff(c_272347,plain,
op(e0,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_412,c_271847,c_408,c_272346]) ).
tff(c_272350,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_272347,c_271348]) ).
tff(c_272358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272330,c_272350]) ).
tff(c_272359,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_271846]) ).
tff(c_272361,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_272359,c_267820]) ).
tff(c_272371,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_258683,c_272361]) ).
tff(c_272373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_272371]) ).
tff(c_272374,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_271363]) ).
tff(c_272381,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_272374,c_254]) ).
tff(c_273276,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_263564,c_258590,c_44]) ).
tff(c_273277,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_273276]) ).
tff(c_272382,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_272374,c_260]) ).
tff(c_272678,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_258645,c_258650,c_272382,c_28]) ).
tff(c_272679,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_272678]) ).
tff(c_272685,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_272679,c_248]) ).
tff(c_273161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272685,c_267825,c_258646,c_272381,c_258363,c_22]) ).
tff(c_273162,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_272678]) ).
tff(c_273171,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_273162,c_366]) ).
tff(c_273190,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_258583,c_74]) ).
tff(c_273191,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_273171,c_402,c_258366,c_273190]) ).
tff(c_273192,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_273191]) ).
tff(c_273195,plain,
op(op(e0,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_273192,c_170]) ).
tff(c_273278,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_273277,c_273195]) ).
tff(c_273289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272381,c_273278]) ).
tff(c_273290,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_273276]) ).
tff(c_273194,plain,
op(e4,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_273192,c_194]) ).
tff(c_273293,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_273290,c_273194]) ).
tff(c_273307,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_273293,c_258364]) ).
tff(c_273309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_273307]) ).
tff(c_273310,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_273191]) ).
tff(c_273312,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_273310,c_267820]) ).
tff(c_273323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_271353,c_273312]) ).
tff(c_273325,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_258582]) ).
tff(c_273571,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_258580,c_273325,c_255415]) ).
tff(c_273580,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_273571,c_246]) ).
tff(c_273463,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_258362]) ).
tff(c_273464,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_273463,c_372]) ).
tff(c_258578,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_258425]) ).
tff(c_273526,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_273464,c_258578]) ).
tff(c_273494,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_273463,c_178]) ).
tff(c_273527,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_273526,c_273494]) ).
tff(c_273537,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_273463,c_273527]) ).
tff(c_273539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_273537]) ).
tff(c_273540,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_258362]) ).
tff(c_273617,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_273571,c_273540]) ).
tff(c_273618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_273580,c_273617]) ).
tff(c_273619,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_276684,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276658,c_273619]) ).
tff(c_276685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276632,c_276652,c_402,c_276684]) ).
tff(c_276686,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_276657]) ).
tff(c_276689,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_276686,c_322]) ).
tff(c_276700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276632,c_276652,c_276689,c_273619]) ).
tff(c_276701,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_276643]) ).
tff(c_276704,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_276701,c_326]) ).
tff(c_276631,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276625,c_272]) ).
tff(c_276702,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_276643]) ).
tff(c_273623,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_274487,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_273623,c_206]) ).
tff(c_274689,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_274487,c_255415]) ).
tff(c_274690,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_274689]) ).
tff(c_274692,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_274690,c_326]) ).
tff(c_274697,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_274690,c_230]) ).
tff(c_274708,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_274697,c_256953]) ).
tff(c_274709,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_274708]) ).
tff(c_274716,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_274709,c_368]) ).
tff(c_274694,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_274690,c_322]) ).
tff(c_274732,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_273623,c_273619]) ).
tff(c_274733,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274716,c_404,c_274694,c_274732]) ).
tff(c_274734,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_274708]) ).
tff(c_274741,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_274734,c_252]) ).
tff(c_274523,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_258362]) ).
tff(c_274524,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_274523,c_372]) ).
tff(c_274536,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_274487,c_255415]) ).
tff(c_274537,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_274536]) ).
tff(c_274543,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_274537,c_230]) ).
tff(c_274555,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_274523,c_256953]) ).
tff(c_274556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274524,c_412,c_274543,c_274555]) ).
tff(c_274557,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_274536]) ).
tff(c_274567,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_274557,c_246]) ).
tff(c_274558,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_274536]) ).
tff(c_274573,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_274523,c_256953]) ).
tff(c_274574,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_274524,c_412,c_274573]) ).
tff(c_273620,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_273634,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_273762,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_273634,c_50475]) ).
tff(c_273763,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_273620,c_402,c_273762]) ).
tff(c_273764,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_273763]) ).
tff(c_273832,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_273623,c_273764,c_273623,c_172]) ).
tff(c_273833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_273832]) ).
tff(c_273834,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_273763]) ).
tff(c_273838,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_273834,c_268]) ).
tff(c_274137,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_273623,c_273619]) ).
tff(c_274138,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_274137]) ).
tff(c_274139,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_274138]) ).
tff(c_274016,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_273834,c_182]) ).
tff(c_274141,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_274139,c_274016]) ).
tff(c_274151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_273838,c_274141]) ).
tff(c_274152,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_274138]) ).
tff(c_273867,plain,
op(e4,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_273634,c_154]) ).
tff(c_274156,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_274152,c_274152,c_273867]) ).
tff(c_274165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_274156]) ).
tff(c_274166,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_274641,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_274574,c_274166]) ).
tff(c_274642,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_274558,c_274641]) ).
tff(c_274560,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_274557,c_174]) ).
tff(c_274643,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_274642,c_274560]) ).
tff(c_274654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274567,c_274643]) ).
tff(c_274655,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_258362]) ).
tff(c_274806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274692,c_274741,c_274655]) ).
tff(c_274807,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_274689]) ).
tff(c_274815,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_274807,c_250]) ).
tff(c_274817,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_274807,c_246]) ).
tff(c_274823,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_256953]) ).
tff(c_274832,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_274823,c_370]) ).
tff(c_274808,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_274689]) ).
tff(c_274884,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_274832,c_274808,c_274166]) ).
tff(c_274809,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_274807,c_174]) ).
tff(c_274885,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_274884,c_274809]) ).
tff(c_274896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274817,c_274885]) ).
tff(c_274898,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_256953]) ).
tff(c_274899,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_273623,c_273619]) ).
tff(c_274900,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_274899]) ).
tff(c_274901,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_274900]) ).
tff(c_274907,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_274901,c_362]) ).
tff(c_274977,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_274907,c_274808,c_274166]) ).
tff(c_274978,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_274977,c_274809]) ).
tff(c_274989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274817,c_274978]) ).
tff(c_274990,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_274900]) ).
tff(c_274999,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_274990,c_328]) ).
tff(c_274197,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_273623,c_206]) ).
tff(c_274168,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_274182,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_274168,c_50475]) ).
tff(c_274183,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_273620,c_408,c_274182]) ).
tff(c_274184,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_274183]) ).
tff(c_274189,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_274184,c_222]) ).
tff(c_274283,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_274197,c_274189,c_255415]) ).
tff(c_274187,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_274184,c_228]) ).
tff(c_274229,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_274187,c_256953]) ).
tff(c_274230,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_274229]) ).
tff(c_274232,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_274230,c_372]) ).
tff(c_274248,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_274197,c_274189,c_255415]) ).
tff(c_274257,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_274248,c_246]) ).
tff(c_274267,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_274248,c_258362]) ).
tff(c_274268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274232,c_274257,c_406,c_274267]) ).
tff(c_274269,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_274229]) ).
tff(c_274275,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_274269,c_250]) ).
tff(c_274297,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_274283,c_274275]) ).
tff(c_274298,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_274183]) ).
tff(c_274330,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_273623,c_274298,c_273623,c_172]) ).
tff(c_274331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_274330]) ).
tff(c_274332,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_275014,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_274898,c_274999,c_274332]) ).
tff(c_275018,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_275014,c_350]) ).
tff(c_275044,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_275018,c_274808,c_274166]) ).
tff(c_274897,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_256953]) ).
tff(c_275075,plain,
( ( op(e2,e1) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275044,c_274897]) ).
tff(c_275076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_274815,c_275075]) ).
tff(c_275077,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_276774,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_276631,c_276702,c_275077]) ).
tff(c_276703,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_276701,c_166]) ).
tff(c_276776,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_276774,c_276703]) ).
tff(c_276785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276704,c_276776]) ).
tff(c_276787,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_256953]) ).
tff(c_276068,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_276089,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276068,c_50475]) ).
tff(c_276090,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_273620,c_408,c_276089]) ).
tff(c_276091,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_276090]) ).
tff(c_276096,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_276091,c_222]) ).
tff(c_276108,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_276096,c_255415]) ).
tff(c_276109,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_276108]) ).
tff(c_276176,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_276109,c_276091,c_276109,c_162]) ).
tff(c_276177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_276176]) ).
tff(c_276178,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_276108]) ).
tff(c_276187,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_276178,c_246]) ).
tff(c_276224,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276178,c_258362]) ).
tff(c_276225,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_276187,c_406,c_276224]) ).
tff(c_276094,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_276091,c_228]) ).
tff(c_276193,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_276094,c_256953]) ).
tff(c_276194,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_276193]) ).
tff(c_276196,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276194,c_372]) ).
tff(c_276207,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276178,c_258362]) ).
tff(c_276208,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_276196,c_406,c_276207]) ).
tff(c_276221,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_276208,c_276187]) ).
tff(c_276222,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_276193]) ).
tff(c_276237,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_276225,c_276222]) ).
tff(c_276238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_276237]) ).
tff(c_276239,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_276090]) ).
tff(c_276241,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_276239,c_244]) ).
tff(c_276280,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_276241,c_258362]) ).
tff(c_276281,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_276280]) ).
tff(c_276287,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276281,c_364]) ).
tff(c_276283,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276281,c_372]) ).
tff(c_276299,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276281,c_256953]) ).
tff(c_276300,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_276283,c_412,c_276299]) ).
tff(c_276307,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_276300,c_230]) ).
tff(c_275079,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_275343,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275079,c_50475]) ).
tff(c_275344,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_273620,c_402,c_275343]) ).
tff(c_275345,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_275344]) ).
tff(c_275346,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_275345,c_244]) ).
tff(c_275400,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_275346,c_258362]) ).
tff(c_275401,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_275400]) ).
tff(c_275406,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_275401,c_252]) ).
tff(c_275404,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_275401,c_372]) ).
tff(c_275415,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275401,c_256953]) ).
tff(c_275416,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_275404,c_412,c_275415]) ).
tff(c_275422,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_275416,c_232]) ).
tff(c_275430,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_275346,c_275422,c_275077]) ).
tff(c_275402,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_275401,c_178]) ).
tff(c_275443,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_275430,c_275402]) ).
tff(c_275446,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_275443,c_275443,c_188]) ).
tff(c_275453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275406,c_275446]) ).
tff(c_275454,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_275400]) ).
tff(c_275488,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_275454,c_326]) ).
tff(c_275350,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_275345,c_248]) ).
tff(c_275456,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_275350,c_256953]) ).
tff(c_275457,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_275456]) ).
tff(c_275463,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_275457,c_272]) ).
tff(c_275498,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_275463,c_275346,c_275077]) ).
tff(c_275485,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_275454,c_166]) ).
tff(c_275511,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_275498,c_275485]) ).
tff(c_275512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275488,c_275511]) ).
tff(c_275513,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_275456]) ).
tff(c_275594,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_275513,c_232]) ).
tff(c_275515,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_275346,c_275077]) ).
tff(c_275516,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_275515]) ).
tff(c_275524,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_275516,c_272]) ).
tff(c_275081,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_275079,c_310]) ).
tff(c_275092,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_275081,c_85116]) ).
tff(c_275093,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_275092]) ).
tff(c_275095,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_275093,c_330]) ).
tff(c_275107,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275079,c_50475]) ).
tff(c_275108,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_273620,c_402,c_275107]) ).
tff(c_275109,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_275108]) ).
tff(c_275111,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_275109,c_242]) ).
tff(c_275158,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_275095,c_275111,c_255415]) ).
tff(c_275182,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_275158,c_275079,c_154]) ).
tff(c_275183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_273620,c_275182]) ).
tff(c_275184,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_275108]) ).
tff(c_275189,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_275184,c_268]) ).
tff(c_275102,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_275093,c_332]) ).
tff(c_275225,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_275102,c_258362]) ).
tff(c_275226,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_275225]) ).
tff(c_275273,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275226,c_256953]) ).
tff(c_275274,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_275189,c_412,c_275273]) ).
tff(c_275198,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_275093,c_168]) ).
tff(c_275276,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_275274,c_275198]) ).
tff(c_275285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275095,c_275276]) ).
tff(c_275286,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_275225]) ).
tff(c_275292,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_275286,c_252]) ).
tff(c_275325,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_275189,c_275292,c_256953]) ).
tff(c_275326,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_275325,c_275198]) ).
tff(c_275336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275095,c_275326]) ).
tff(c_275337,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_275092]) ).
tff(c_275572,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275516,c_275337]) ).
tff(c_275573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275524,c_412,c_275572]) ).
tff(c_275574,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_275515]) ).
tff(c_275632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275594,c_275574]) ).
tff(c_275633,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_275344]) ).
tff(c_275637,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_275633,c_268]) ).
tff(c_275638,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_275633,c_264]) ).
tff(c_275800,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_258362]) ).
tff(c_275806,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_275800,c_364]) ).
tff(c_275813,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_275806,c_273619]) ).
tff(c_275814,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_275813]) ).
tff(c_275821,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_275814,c_344]) ).
tff(c_275828,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_275638,c_275821,c_275077]) ).
tff(c_275836,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_275828,c_232]) ).
tff(c_275647,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_256953]) ).
tff(c_275688,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_275647,c_275637]) ).
tff(c_275689,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_256953]) ).
tff(c_275845,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275800,c_275689]) ).
tff(c_275846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275836,c_412,c_275845]) ).
tff(c_275847,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_275813]) ).
tff(c_275918,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_275079,c_275079,c_275847,c_162]) ).
tff(c_275919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_275918]) ).
tff(c_275920,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_258362]) ).
tff(c_275952,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_275920]) ).
tff(c_275953,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_275952,c_326]) ).
tff(c_275691,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_255415]) ).
tff(c_275796,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_275079,c_275691,c_154]) ).
tff(c_275797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_273620,c_275796]) ).
tff(c_275798,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_255415]) ).
tff(c_276023,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275952,c_275798]) ).
tff(c_276024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_275953,c_276023]) ).
tff(c_276025,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_275920]) ).
tff(c_276030,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_276025,c_352]) ).
tff(c_276065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275637,c_276030,c_275337]) ).
tff(c_276066,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_276328,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276300,c_276066]) ).
tff(c_276329,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_276307,c_276328]) ).
tff(c_276337,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_276329,c_342]) ).
tff(c_276242,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_276239,c_242]) ).
tff(c_276253,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_276242,c_255415]) ).
tff(c_276254,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_276253]) ).
tff(c_276390,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276254,c_273619]) ).
tff(c_276391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276287,c_276337,c_402,c_276390]) ).
tff(c_276392,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_276280]) ).
tff(c_276397,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_276392,c_326]) ).
tff(c_276245,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_276239,c_248]) ).
tff(c_276411,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_276245,c_256953]) ).
tff(c_276412,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_276411]) ).
tff(c_276420,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276412,c_370]) ).
tff(c_276435,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_276420,c_276397,c_276066]) ).
tff(c_276394,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_276392,c_166]) ).
tff(c_276436,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_276435,c_276435,c_276394]) ).
tff(c_276446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_276436]) ).
tff(c_276447,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_276411]) ).
tff(c_276470,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276447,c_276066]) ).
tff(c_276471,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_276397,c_276470]) ).
tff(c_276473,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_276471,c_276471,c_276394]) ).
tff(c_276482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_276473]) ).
tff(c_276483,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_276253]) ).
tff(c_276485,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_276483,c_326]) ).
tff(c_276497,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_276241,c_276485,c_258362]) ).
tff(c_276499,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276497,c_372]) ).
tff(c_276490,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_276483,c_230]) ).
tff(c_276514,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276497,c_256953]) ).
tff(c_276515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276499,c_412,c_276490,c_276514]) ).
tff(c_276516,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_277701,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_276787,c_276516]) ).
tff(c_277702,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_277701]) ).
tff(c_276820,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_258362]) ).
tff(c_276828,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276820,c_366]) ).
tff(c_276827,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_276820,c_364]) ).
tff(c_276982,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_276827,c_273619]) ).
tff(c_276983,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_276982]) ).
tff(c_276992,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_276983,c_344]) ).
tff(c_276999,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_276992,c_275077]) ).
tff(c_277000,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_276999]) ).
tff(c_276957,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_276820,c_186]) ).
tff(c_277002,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_277000,c_276957]) ).
tff(c_277012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276787,c_277002]) ).
tff(c_277013,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_276999]) ).
tff(c_277022,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_277013,c_226]) ).
tff(c_277029,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277013,c_276066]) ).
tff(c_277030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276828,c_406,c_277022,c_277029]) ).
tff(c_277031,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_276982]) ).
tff(c_277040,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_277031,c_322]) ).
tff(c_276786,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_256953]) ).
tff(c_277079,plain,
( ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276820,c_276786]) ).
tff(c_277080,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_277079]) ).
tff(c_277095,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277080,c_276066]) ).
tff(c_277096,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_277040,c_277095]) ).
tff(c_277099,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_277096,c_350]) ).
tff(c_277041,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_277031,c_328]) ).
tff(c_277111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276787,c_277099,c_277041,c_276516]) ).
tff(c_277112,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_258362]) ).
tff(c_277529,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_277112]) ).
tff(c_277532,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_277529,c_326]) ).
tff(c_277539,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_277529,c_332]) ).
tff(c_277533,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_277529,c_324]) ).
tff(c_277544,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_277533,c_273619]) ).
tff(c_277545,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_277544]) ).
tff(c_277553,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_277545,c_362]) ).
tff(c_277580,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_277553,c_277532,c_276066]) ).
tff(c_277531,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_277529,c_166]) ).
tff(c_277581,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_277580,c_277580,c_277531]) ).
tff(c_277591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_277581]) ).
tff(c_277592,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_277544]) ).
tff(c_277602,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_277592,c_344]) ).
tff(c_277609,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_277602,c_275077]) ).
tff(c_277610,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_277609]) ).
tff(c_277652,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_277610,c_276516]) ).
tff(c_277653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_276787,c_412,c_277539,c_277652]) ).
tff(c_277654,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_277609]) ).
tff(c_277684,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_277654,c_277531]) ).
tff(c_277685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_277532,c_277684]) ).
tff(c_277686,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_277112]) ).
tff(c_277692,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_277686,c_352]) ).
tff(c_277735,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_277702,c_277692]) ).
tff(c_277736,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_277701]) ).
tff(c_277741,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_277736,c_330]) ).
tff(c_277694,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_277686,c_346]) ).
tff(c_277753,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_276066]) ).
tff(c_277754,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_277753,c_362]) ).
tff(c_277696,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_277686,c_344]) ).
tff(c_277767,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_277754,c_277696,c_273619]) ).
tff(c_277740,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_277736,c_328]) ).
tff(c_277783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_277767,c_277740]) ).
tff(c_277784,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_276066]) ).
tff(c_277819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_277741,c_277694,c_277784]) ).
tff(c_277821,plain,
op(e0,op(e0,e1)) = e1,
inference(splitRight,[status(thm)],[c_255422]) ).
tff(c_295896,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_295892,c_277821]) ).
tff(c_295904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_295846,c_295896]) ).
tff(c_295905,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_295891]) ).
tff(c_295912,plain,
op(op(e2,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_295905,c_196]) ).
tff(c_295979,plain,
op(e1,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_295978,c_295912]) ).
tff(c_295987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_294892,c_295979]) ).
tff(c_295988,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_295841]) ).
tff(c_295990,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_295988]) ).
tff(c_291426,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_160]) ).
tff(c_295993,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_295990,c_291426]) ).
tff(c_296002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_295825,c_295993]) ).
tff(c_296003,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_295988]) ).
tff(c_296008,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_296003,c_291426]) ).
tff(c_296016,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_296008]) ).
tff(c_296018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_296016]) ).
tff(c_296019,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_295818]) ).
tff(c_296021,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_296019]) ).
tff(c_296070,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_296021,c_104]) ).
tff(c_296071,plain,
( ( op(e4,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_279929,c_412,c_408,c_296070]) ).
tff(c_296072,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_296071]) ).
tff(c_296078,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_296072,c_354]) ).
tff(c_296105,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_279666,c_66]) ).
tff(c_296106,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_291388,c_296078,c_408,c_296105]) ).
tff(c_296112,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_296106,c_324]) ).
tff(c_291389,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_380]) ).
tff(c_291957,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_291958,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_291389,c_291957]) ).
tff(c_291959,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_291958]) ).
tff(c_291450,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_110]) ).
tff(c_291451,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_418,c_291450]) ).
tff(c_291452,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_291451]) ).
tff(c_291477,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_291478,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_291477]) ).
tff(c_291479,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_291478]) ).
tff(c_291484,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_291479,c_255420]) ).
tff(c_291493,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_291452,c_291484]) ).
tff(c_291494,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_291478]) ).
tff(c_291496,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_291494]) ).
tff(c_291498,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_291496,c_291426]) ).
tff(c_291507,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_291498]) ).
tff(c_291509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_291507]) ).
tff(c_291510,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_291494]) ).
tff(c_279790,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_202]) ).
tff(c_291563,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291510,c_279728,c_72]) ).
tff(c_291564,plain,
( ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_402,c_279790,c_291563]) ).
tff(c_291565,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_291564]) ).
tff(c_291573,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_291565,c_266]) ).
tff(c_291460,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_291452,c_364]) ).
tff(c_291575,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_291565,c_332]) ).
tff(c_291640,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( e4 = e0 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291452,c_279928,c_94]) ).
tff(c_291641,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_291575,c_279664,c_291640]) ).
tff(c_291580,plain,
( ( op(e0,e4) = e1 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_291510,c_146]) ).
tff(c_291581,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_291389,c_412,c_291580]) ).
tff(c_291582,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_291581]) ).
tff(c_291584,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_291582,c_196]) ).
tff(c_291642,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_291641,c_291584]) ).
tff(c_291651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291460,c_291642]) ).
tff(c_291652,plain,
op(e0,e4) = e1,
inference(splitRight,[status(thm)],[c_291581]) ).
tff(c_291670,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_291652,c_291426]) ).
tff(c_291680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291573,c_291670]) ).
tff(c_291682,plain,
op(e1,e3) != e4,
inference(splitRight,[status(thm)],[c_291564]) ).
tff(c_291749,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_114]) ).
tff(c_291750,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_291682,c_279669,c_291749]) ).
tff(c_291751,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_291750]) ).
tff(c_291758,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_291751,c_278]) ).
tff(c_291511,plain,
op(e0,e4) != e2,
inference(splitRight,[status(thm)],[c_291494]) ).
tff(c_291853,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_291511,c_279670,c_42]) ).
tff(c_291854,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_291853]) ).
tff(c_291857,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_291854,c_291426]) ).
tff(c_291865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291758,c_291857]) ).
tff(c_291866,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_291853]) ).
tff(c_291425,plain,
op(e2,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_192]) ).
tff(c_291870,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_291866,c_291425]) ).
tff(c_291681,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_291564]) ).
tff(c_291881,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_291870,c_291681]) ).
tff(c_291883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_291881]) ).
tff(c_291884,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_291750]) ).
tff(c_291453,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291452,c_186]) ).
tff(c_291886,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291884,c_291453]) ).
tff(c_291906,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_291886,c_284]) ).
tff(c_291891,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_291884,c_360]) ).
tff(c_291916,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_130110,c_291906,c_279932,c_291891,c_46]) ).
tff(c_279930,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_352]) ).
tff(c_279760,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_279738]) ).
tff(c_280029,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_279930,c_279760]) ).
tff(c_279789,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_322]) ).
tff(c_285139,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_285140,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_285139]) ).
tff(c_285141,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_285140]) ).
tff(c_285145,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_285141,c_277821]) ).
tff(c_98,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_280045,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_98]) ).
tff(c_280046,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_279792,c_280045]) ).
tff(c_280047,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_280046]) ).
tff(c_280048,plain,
op(op(e0,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_280047,c_180]) ).
tff(c_285158,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_285145,c_280048]) ).
tff(c_285176,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_285158,c_276]) ).
tff(c_280052,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_280047,c_384]) ).
tff(c_280056,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_280047,c_392]) ).
tff(c_283041,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_58]) ).
tff(c_283042,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_280052,c_279789,c_402,c_283041]) ).
tff(c_283043,plain,
op(e4,e1) = e3,
inference(splitLeft,[status(thm)],[c_283042]) ).
tff(c_280062,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_84]) ).
tff(c_280063,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_410,c_280062]) ).
tff(c_280064,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_280063]) ).
tff(c_280071,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_282]) ).
tff(c_280031,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_372]) ).
tff(c_280055,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_280047,c_260]) ).
tff(c_282710,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280031,c_279934,c_280055,c_28]) ).
tff(c_282711,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_282710]) ).
tff(c_280033,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_268]) ).
tff(c_282193,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280033,c_279669,c_32]) ).
tff(c_282194,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_282193]) ).
tff(c_282222,plain,
( ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_282194,c_118]) ).
tff(c_282223,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_280056,c_410,c_279761,c_416,c_282222]) ).
tff(c_279935,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_346]) ).
tff(c_281729,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_279935,c_279729,c_16]) ).
tff(c_281730,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_281729]) ).
tff(c_281739,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_281730,c_232]) ).
tff(c_280087,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_114]) ).
tff(c_280088,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_279669,c_280087]) ).
tff(c_280089,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_280088]) ).
tff(c_280094,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_280089,c_276]) ).
tff(c_280053,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_280047,c_254]) ).
tff(c_279733,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_222]) ).
tff(c_280530,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280033,c_279669,c_32]) ).
tff(c_280531,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_280530]) ).
tff(c_280545,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( e3 = e0 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280531,c_279666,c_56]) ).
tff(c_280546,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_280053,c_279733,c_402,c_280545]) ).
tff(c_280552,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_280546,c_288]) ).
tff(c_280580,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_116]) ).
tff(c_280581,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_280552,c_410,c_280055,c_279731,c_280580]) ).
tff(c_280534,plain,
op(e0,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_280531,c_158]) ).
tff(c_280582,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_280581,c_280534]) ).
tff(c_280592,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_280582]) ).
tff(c_280594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_280592]) ).
tff(c_280595,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_280530]) ).
tff(c_280597,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_280595]) ).
tff(c_280602,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_280597,c_320]) ).
tff(c_280840,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_50476,c_280071,c_280602,c_279670,c_42]) ).
tff(c_280069,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_338]) ).
tff(c_279784,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_214]) ).
tff(c_280662,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_280052,c_279784,c_10]) ).
tff(c_280663,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_280662]) ).
tff(c_280691,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280663,c_279666,c_62]) ).
tff(c_280692,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_279937,c_404,c_280691]) ).
tff(c_280693,plain,
op(e4,e1) = e2,
inference(splitLeft,[status(thm)],[c_280692]) ).
tff(c_280600,plain,
op(op(e4,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280597,c_182]) ).
tff(c_280695,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280693,c_280600]) ).
tff(c_280704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280069,c_280695]) ).
tff(c_280705,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_280692]) ).
tff(c_280777,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_280705,c_328]) ).
tff(c_280814,plain,
( ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280089,c_280029,c_280597,c_122]) ).
tff(c_280815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_412,c_279930,c_280777,c_406,c_280814]) ).
tff(c_280816,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_280662]) ).
tff(c_280821,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_280816,c_160]) ).
tff(c_280841,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_280840,c_280821]) ).
tff(c_280851,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_280841]) ).
tff(c_280853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_280851]) ).
tff(c_280854,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_280595]) ).
tff(c_280860,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_280854,c_320]) ).
tff(c_281098,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_50476,c_280071,c_280860,c_279670,c_42]) ).
tff(c_280972,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_116]) ).
tff(c_280973,plain,
( ( op(e4,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_280055,c_279731,c_280972]) ).
tff(c_280974,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_280973]) ).
tff(c_280093,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_280089,c_198]) ).
tff(c_280976,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_280974,c_280093]) ).
tff(c_280871,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_280052,c_279784,c_10]) ).
tff(c_280872,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_280871]) ).
tff(c_280068,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_334]) ).
tff(c_280906,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280068,c_279789,c_279790,c_4]) ).
tff(c_280907,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_280906]) ).
tff(c_280931,plain,
( ( e4 = e2 )
| ( e2 = e0 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280872,c_280907,c_279666,c_62]) ).
tff(c_280932,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_279937,c_418,c_404,c_280931]) ).
tff(c_280859,plain,
op(e2,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_280854,c_158]) ).
tff(c_280935,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_280932,c_280859]) ).
tff(c_280942,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_280935]) ).
tff(c_280944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_280942]) ).
tff(c_280945,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_280906]) ).
tff(c_280991,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_280976,c_280945]) ).
tff(c_280993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_280991]) ).
tff(c_280994,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_280973]) ).
tff(c_280858,plain,
op(op(e4,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280854,c_182]) ).
tff(c_280997,plain,
op(e3,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280994,c_280858]) ).
tff(c_280122,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_279935,c_279729,c_16]) ).
tff(c_280123,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_280122]) ).
tff(c_280133,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_280123,c_224]) ).
tff(c_280096,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_280089,c_278]) ).
tff(c_279726,plain,
op(e4,e2) != e4,
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_92,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_280492,plain,
( ( op(e4,e2) = e4 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_280123,c_92]) ).
tff(c_280493,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_280096,c_404,c_414,c_279726,c_280492]) ).
tff(c_280049,plain,
op(e3,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_280047,c_196]) ).
tff(c_280494,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_280493,c_280049]) ).
tff(c_280503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280133,c_280494]) ).
tff(c_280504,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_280122]) ).
tff(c_280506,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_280504]) ).
tff(c_281021,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280997,c_280506]) ).
tff(c_281023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_281021]) ).
tff(c_281024,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_280871]) ).
tff(c_281027,plain,
op(e2,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_281024,c_192]) ).
tff(c_281100,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_281098,c_281027]) ).
tff(c_281181,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( e4 = e0 )
| ( op(e1,e3) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_281100,c_279728,c_72]) ).
tff(c_281182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_280094,c_414,c_402,c_279790,c_281181]) ).
tff(c_281183,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_280504]) ).
tff(c_281195,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_281183,c_224]) ).
tff(c_281201,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280031,c_279934,c_280055,c_28]) ).
tff(c_281202,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_281201]) ).
tff(c_280037,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_380]) ).
tff(c_281221,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_281202,c_116]) ).
tff(c_281222,plain,
( ( op(e4,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_279731,c_281221]) ).
tff(c_281223,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_281222]) ).
tff(c_280092,plain,
op(op(e0,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280089,c_190]) ).
tff(c_281224,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_281223,c_280092]) ).
tff(c_281235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_281195,c_281224]) ).
tff(c_281237,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_281222]) ).
tff(c_281274,plain,
( ( op(e4,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_281183,c_92]) ).
tff(c_281275,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_280096,c_404,c_408,c_279726,c_281274]) ).
tff(c_281282,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_281275,c_292]) ).
tff(c_281502,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_233155,c_280037,c_281237,c_281282,c_48]) ).
tff(c_281509,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_281502,c_255420]) ).
tff(c_281513,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_281202,c_281509]) ).
tff(c_281514,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_281201]) ).
tff(c_281531,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_281514,c_116]) ).
tff(c_281532,plain,
( ( op(e4,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_402,c_279731,c_281531]) ).
tff(c_281533,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_281532]) ).
tff(c_281534,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_281533,c_280092]) ).
tff(c_281545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_281195,c_281534]) ).
tff(c_281547,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_281532]) ).
tff(c_281523,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_281514,c_250]) ).
tff(c_281619,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_279728,c_88]) ).
tff(c_281620,plain,
( ( op(e4,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_281619]) ).
tff(c_281621,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_281620]) ).
tff(c_281653,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e0 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_281621,c_279728,c_72]) ).
tff(c_281654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_281523,c_402,c_279790,c_281653]) ).
tff(c_281655,plain,
( ( op(e2,e3) = e0 )
| ( op(e4,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_281620]) ).
tff(c_281665,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_281655]) ).
tff(c_281712,plain,
( ( e4 = e0 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_279728,c_281665,c_72]) ).
tff(c_281713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_280094,c_281523,c_402,c_414,c_281712]) ).
tff(c_281714,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_281655]) ).
tff(c_281187,plain,
op(op(e2,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_281183,c_166]) ).
tff(c_281716,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_281714,c_281187]) ).
tff(c_281726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_281547,c_281716]) ).
tff(c_281727,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_280088]) ).
tff(c_281763,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_281727]) ).
tff(c_281801,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e4 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_281763,c_279728,c_88]) ).
tff(c_281802,plain,
( ( op(e4,e3) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_414,c_416,c_281801]) ).
tff(c_281803,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_281802]) ).
tff(c_281732,plain,
op(op(e2,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_281730,c_166]) ).
tff(c_281805,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_281803,c_281732]) ).
tff(c_281813,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_281805]) ).
tff(c_281815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_281813]) ).
tff(c_281816,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_281802]) ).
tff(c_281823,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_281816,c_210]) ).
tff(c_279781,plain,
op(e4,e1) != e4,
inference(splitRight,[status(thm)],[c_279762]) ).
tff(c_112,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_281847,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_112]) ).
tff(c_281848,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_279781,c_281847]) ).
tff(c_281849,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_281848]) ).
tff(c_281853,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_281849,c_277821]) ).
tff(c_281862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280071,c_281853]) ).
tff(c_281863,plain,
( ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_281848]) ).
tff(c_281865,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_281863]) ).
tff(c_281765,plain,
op(e4,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_281763,c_168]) ).
tff(c_281866,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_281865,c_281765]) ).
tff(c_281880,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_281866,c_279666]) ).
tff(c_281882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_281880]) ).
tff(c_281883,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_281863]) ).
tff(c_281976,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_281883,c_128]) ).
tff(c_281977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_414,c_281739,c_281823,c_281976]) ).
tff(c_281979,plain,
op(e1,e3) != e4,
inference(splitRight,[status(thm)],[c_281727]) ).
tff(c_281980,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_279728,c_88]) ).
tff(c_281981,plain,
( ( op(e4,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_281980]) ).
tff(c_281982,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_281981]) ).
tff(c_282054,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e0 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_281982,c_279728,c_72]) ).
tff(c_282055,plain,
op(e2,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_402,c_279790,c_282054]) ).
tff(c_282057,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_282055,c_281732]) ).
tff(c_282066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280052,c_282057]) ).
tff(c_282067,plain,
( ( op(e2,e3) = e0 )
| ( op(e4,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_281981]) ).
tff(c_282091,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_282067]) ).
tff(c_282160,plain,
( ( e4 = e0 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_279728,c_282091,c_72]) ).
tff(c_282161,plain,
op(e2,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_281979,c_402,c_414,c_282160]) ).
tff(c_282163,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_282161,c_281732]) ).
tff(c_282172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280052,c_282163]) ).
tff(c_282173,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_282067]) ).
tff(c_282175,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_282173,c_281732]) ).
tff(c_282184,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_282175]) ).
tff(c_282186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_282184]) ).
tff(c_282187,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_281729]) ).
tff(c_282221,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_282187]) ).
tff(c_282246,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_282221,c_232]) ).
tff(c_280036,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_368]) ).
tff(c_282396,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_66]) ).
tff(c_282397,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_280036,c_280068,c_408,c_282396]) ).
tff(c_282398,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_282397]) ).
tff(c_282292,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_280071,c_279670,c_42]) ).
tff(c_282293,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_282292]) ).
tff(c_282351,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_282293,c_282194,c_279666,c_56]) ).
tff(c_282352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_416,c_280053,c_279733,c_402,c_282351]) ).
tff(c_282353,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_282292]) ).
tff(c_282358,plain,
op(e3,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_282353,c_160]) ).
tff(c_282399,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_282398,c_282358]) ).
tff(c_282410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_282246,c_282399]) ).
tff(c_282411,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_282397]) ).
tff(c_282527,plain,
( ( e1 = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_282223,c_279928,c_282221,c_282411,c_108]) ).
tff(c_282528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130110,c_416,c_418,c_414,c_420,c_282527]) ).
tff(c_282529,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_282187]) ).
tff(c_282539,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_282529,c_238]) ).
tff(c_282557,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_281727]) ).
tff(c_282585,plain,
( ( e3 = e0 )
| ( e4 = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_282557,c_282194,c_118]) ).
tff(c_282586,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_280056,c_410,c_402,c_416,c_282585]) ).
tff(c_282594,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_282586,c_348]) ).
tff(c_282608,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_58]) ).
tff(c_282609,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_280052,c_282594,c_279789,c_402,c_282608]) ).
tff(c_282196,plain,
op(op(e4,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_282194,c_182]) ).
tff(c_282610,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_282609,c_282196]) ).
tff(c_282621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_282539,c_282610]) ).
tff(c_282622,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_281727]) ).
tff(c_282625,plain,
op(op(e2,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_282622,c_186]) ).
tff(c_282712,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_282711,c_282625]) ).
tff(c_282723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280071,c_282712]) ).
tff(c_282724,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_282710]) ).
tff(c_282626,plain,
op(e4,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_282622,c_178]) ).
tff(c_282727,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_282724,c_282626]) ).
tff(c_282743,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_282727,c_279666]) ).
tff(c_282745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_282743]) ).
tff(c_282746,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_282193]) ).
tff(c_282752,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_282746]) ).
tff(c_282756,plain,
op(e3,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_282752,c_158]) ).
tff(c_283045,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_283043,c_282756]) ).
tff(c_283054,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_283045]) ).
tff(c_283056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_283054]) ).
tff(c_283057,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_283042]) ).
tff(c_282778,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_281727]) ).
tff(c_282784,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_282778,c_266]) ).
tff(c_280070,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_280064,c_286]) ).
tff(c_282838,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_66]) ).
tff(c_282839,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_280036,c_280068,c_408,c_282838]) ).
tff(c_282840,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_282839]) ).
tff(c_282848,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_282840,c_218]) ).
tff(c_282757,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_282752,c_320]) ).
tff(c_282795,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_50476,c_280071,c_282757,c_279670,c_42]) ).
tff(c_282798,plain,
op(op(e4,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_282795,c_192]) ).
tff(c_282842,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_282840,c_282798]) ).
tff(c_282822,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_282187]) ).
tff(c_282959,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_282842,c_279928,c_282822,c_104]) ).
tff(c_282960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280070,c_420,c_412,c_408,c_282848,c_282959]) ).
tff(c_282962,plain,
op(e4,e0) != e1,
inference(splitRight,[status(thm)],[c_282839]) ).
tff(c_283025,plain,
op(e4,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_208865,c_282962,c_280052,c_279784,c_10]) ).
tff(c_282799,plain,
op(e2,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_282795,c_160]) ).
tff(c_283027,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_283025,c_282799]) ).
tff(c_283036,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_283027]) ).
tff(c_283038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_283036]) ).
tff(c_283039,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_282187]) ).
tff(c_283092,plain,
( ( e4 = e3 )
| ( e4 = e1 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_283039,c_283057,c_92]) ).
tff(c_283093,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_282784,c_404,c_408,c_402,c_283092]) ).
tff(c_283096,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_283093,c_280048]) ).
tff(c_277820,plain,
( ( op(e0,op(e0,e2)) != e2 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e3)) != e3 )
| ( op(e4,op(e4,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_255422]) ).
tff(c_280006,plain,
( ( op(e0,op(e0,e2)) != e2 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e3)) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_279666,c_279728,c_279728,c_279928,c_279928,c_277820]) ).
tff(c_280007,plain,
op(e4,op(e4,e3)) != e3,
inference(splitLeft,[status(thm)],[c_280006]) ).
tff(c_283120,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_283096,c_280007]) ).
tff(c_283128,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_283057,c_283120]) ).
tff(c_283129,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_281727]) ).
tff(c_283136,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_283129,c_350]) ).
tff(c_283155,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_283136,c_282187]) ).
tff(c_283164,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_283155,c_342]) ).
tff(c_283208,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_66]) ).
tff(c_283209,plain,
op(e4,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_280036,c_283164,c_280068,c_408,c_283208]) ).
tff(c_283232,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_283209,c_279666,c_58]) ).
tff(c_283233,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279789,c_402,c_283232]) ).
tff(c_283234,plain,
op(e4,e1) = e3,
inference(splitLeft,[status(thm)],[c_283233]) ).
tff(c_283238,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_283234,c_282756]) ).
tff(c_283246,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_283238]) ).
tff(c_283248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_283246]) ).
tff(c_283249,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_283233]) ).
tff(c_283311,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e4 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_283129,c_279928,c_283155,c_283249,c_108]) ).
tff(c_283312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130110,c_414,c_418,c_420,c_416,c_283311]) ).
tff(c_283313,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_282746]) ).
tff(c_283331,plain,
( ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_283313,c_118]) ).
tff(c_283332,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_280056,c_410,c_279761,c_406,c_283331]) ).
tff(c_283339,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_283332,c_348]) ).
tff(c_283535,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_58]) ).
tff(c_283536,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_280052,c_283339,c_279789,c_402,c_283535]) ).
tff(c_283318,plain,
op(e2,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_283313,c_158]) ).
tff(c_283537,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_283536,c_283318]) ).
tff(c_283558,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_283537,c_332]) ).
tff(c_283581,plain,
( ( e4 = e3 )
| ( op(e1,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_283332,c_281727]) ).
tff(c_283582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_283558,c_402,c_283581]) ).
tff(c_283583,plain,
( ( op(e2,e3) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_280063]) ).
tff(c_283593,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_283583]) ).
tff(c_283604,plain,
op(e4,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_283593,c_216]) ).
tff(c_283617,plain,
op(e4,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_208865,c_283604,c_280052,c_279784,c_10]) ).
tff(c_283594,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_283593,c_280007]) ).
tff(c_283627,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_283617,c_382]) ).
tff(c_279730,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_236]) ).
tff(c_285031,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_283627,c_279730,c_20]) ).
tff(c_285032,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_285031]) ).
tff(c_283632,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_128]) ).
tff(c_283633,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_283632]) ).
tff(c_283634,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_283633]) ).
tff(c_284018,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_283627,c_279730,c_20]) ).
tff(c_284019,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_284018]) ).
tff(c_283665,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_283666,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_283665]) ).
tff(c_283667,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_283666]) ).
tff(c_283672,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_283667,c_255420]) ).
tff(c_283681,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_283634,c_283672]) ).
tff(c_283682,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_283666]) ).
tff(c_283684,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_283682]) ).
tff(c_283621,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_283617,c_160]) ).
tff(c_283685,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_283684,c_283621]) ).
tff(c_283695,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_283685]) ).
tff(c_283697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_283695]) ).
tff(c_283698,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_283682]) ).
tff(c_283701,plain,
op(e2,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_283698,c_170]) ).
tff(c_284021,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_284019,c_283701]) ).
tff(c_284029,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_283634,c_284021]) ).
tff(c_284031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_284029]) ).
tff(c_284032,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_284018]) ).
tff(c_284035,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_284032,c_283701]) ).
tff(c_284045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280053,c_284035]) ).
tff(c_284047,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_283633]) ).
tff(c_283584,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_280063]) ).
tff(c_284327,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280033,c_279669,c_32]) ).
tff(c_284328,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_284327]) ).
tff(c_284046,plain,
( ( op(e3,e1) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_283633]) ).
tff(c_284056,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_284046]) ).
tff(c_284061,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_284056,c_158]) ).
tff(c_284342,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_284328,c_284061]) ).
tff(c_284351,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_284342]) ).
tff(c_284353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_284351]) ).
tff(c_284354,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_284327]) ).
tff(c_284377,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_284354]) ).
tff(c_284060,plain,
op(e0,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_284056,c_182]) ).
tff(c_284382,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_284377,c_284060]) ).
tff(c_284391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_283584,c_284382]) ).
tff(c_284392,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_284354]) ).
tff(c_284395,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_284392,c_284061]) ).
tff(c_284404,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_280047,c_284395]) ).
tff(c_284406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_284404]) ).
tff(c_284407,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_284046]) ).
tff(c_284433,plain,
( ( op(e4,e1) = e4 )
| ( e4 = e0 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_284407,c_112]) ).
tff(c_284434,plain,
( ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_279781,c_284433]) ).
tff(c_284435,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_284434]) ).
tff(c_284439,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_284435,c_277821]) ).
tff(c_283620,plain,
op(e2,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_283617,c_192]) ).
tff(c_284452,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_284439,c_283620]) ).
tff(c_284461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_284047,c_284452]) ).
tff(c_284462,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_284434]) ).
tff(c_284471,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_284462,c_250]) ).
tff(c_284871,plain,
( ( e4 = e1 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_283593,c_72]) ).
tff(c_284872,plain,
( ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_284471,c_402,c_408,c_284871]) ).
tff(c_284873,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_284872]) ).
tff(c_284875,plain,
op(e4,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_284873,c_170]) ).
tff(c_285034,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_285032,c_284875]) ).
tff(c_285042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_283594,c_285034]) ).
tff(c_285043,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_285031]) ).
tff(c_284876,plain,
op(op(e3,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_284873,c_194]) ).
tff(c_285046,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_285043,c_284876]) ).
tff(c_285058,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_285046,c_279666]) ).
tff(c_285060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_285058]) ).
tff(c_285061,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_284872]) ).
tff(c_284411,plain,
op(op(e1,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_284407,c_168]) ).
tff(c_285082,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_285061,c_284411]) ).
tff(c_285089,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_283617,c_285082]) ).
tff(c_285091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_285089]) ).
tff(c_285092,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_283583]) ).
tff(c_285099,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_285092,c_242]) ).
tff(c_285175,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_285158,c_262]) ).
tff(c_285216,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280033,c_285175,c_279669,c_32]) ).
tff(c_285217,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_285216]) ).
tff(c_285227,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_285217,c_312]) ).
tff(c_279933,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_244]) ).
tff(c_285242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285227,c_285099,c_279933,c_280053,c_279664,c_22]) ).
tff(c_285243,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_285216]) ).
tff(c_285270,plain,
( ( e4 = e3 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_285158,c_285243,c_114]) ).
tff(c_285271,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_402,c_285270]) ).
tff(c_285272,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_285271]) ).
tff(c_285143,plain,
op(e2,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_285141,c_190]) ).
tff(c_285274,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_285272,c_285143]) ).
tff(c_285282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285099,c_285274]) ).
tff(c_285283,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_285271]) ).
tff(c_285292,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_285283,c_350]) ).
tff(c_285115,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_280052,c_279784,c_10]) ).
tff(c_285116,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_285115]) ).
tff(c_285126,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_285116,c_382]) ).
tff(c_285315,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_285126,c_279730,c_20]) ).
tff(c_285316,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_285315]) ).
tff(c_285159,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_285145,c_280049]) ).
tff(c_285364,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( e4 = e0 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_285316,c_285159,c_279728,c_74]) ).
tff(c_285365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_414,c_285292,c_402,c_279668,c_285364]) ).
tff(c_285366,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_285315]) ).
tff(c_285421,plain,
( ( e2 = e1 )
| ( e4 = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_280047,c_285366,c_285116,c_140]) ).
tff(c_285422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_285176,c_406,c_404,c_412,c_285421]) ).
tff(c_285423,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_285140]) ).
tff(c_285425,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_285423]) ).
tff(c_285119,plain,
op(op(e0,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_285116,c_160]) ).
tff(c_285426,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_285425,c_285119]) ).
tff(c_285118,plain,
op(e1,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_285116,c_192]) ).
tff(c_285427,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_285425,c_285118]) ).
tff(c_285474,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_285427,c_266]) ).
tff(c_285430,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_285425,c_282]) ).
tff(c_285440,plain,
op(e0,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_252838,c_283584,c_285430,c_279732,c_44]) ).
tff(c_285480,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e0 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_285427,c_279928,c_92]) ).
tff(c_285481,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_279726,c_285480]) ).
tff(c_285482,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_285481]) ).
tff(c_285483,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_285482,c_280048]) ).
tff(c_285519,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_285440,c_285092,c_279728,c_285483,c_88]) ).
tff(c_285520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_285474,c_420,c_416,c_418,c_285519]) ).
tff(c_285521,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_285481]) ).
tff(c_285094,plain,
op(op(e3,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_285092,c_174]) ).
tff(c_285524,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_285521,c_285094]) ).
tff(c_285599,plain,
( ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_285426,c_285524,c_128]) ).
tff(c_285600,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_414,c_418,c_285599]) ).
tff(c_285450,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_285440,c_340]) ).
tff(c_285659,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_285474,c_255416,c_279761,c_285450,c_34]) ).
tff(c_285604,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_285600,c_184]) ).
tff(c_285661,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_285659,c_285604]) ).
tff(c_285689,plain,
( ( e3 = e2 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_285661,c_285440,c_285425,c_138]) ).
tff(c_285690,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_402,c_406,c_285689]) ).
tff(c_285697,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_285690,c_255420]) ).
tff(c_285701,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_285600,c_285697]) ).
tff(c_285702,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_285423]) ).
tff(c_285713,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_285702,c_340]) ).
tff(c_285124,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_285116,c_218]) ).
tff(c_285726,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_104]) ).
tff(c_285727,plain,
( ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_279929,c_412,c_285124,c_285726]) ).
tff(c_285728,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_285727]) ).
tff(c_285729,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_285728,c_280048]) ).
tff(c_285739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285713,c_285729]) ).
tff(c_285740,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_285727]) ).
tff(c_285742,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_285740,c_285094]) ).
tff(c_285752,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_285742]) ).
tff(c_285754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_285752]) ).
tff(c_285755,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_285115]) ).
tff(c_285780,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_104]) ).
tff(c_285781,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_279929,c_412,c_285780]) ).
tff(c_285782,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_285781]) ).
tff(c_285783,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_285782,c_280048]) ).
tff(c_285873,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_56]) ).
tff(c_285874,plain,
( ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_280053,c_279733,c_402,c_285873]) ).
tff(c_285875,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_285874]) ).
tff(c_285758,plain,
op(e2,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_285755,c_192]) ).
tff(c_285878,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_285875,c_285758]) ).
tff(c_285890,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_285878,c_285092]) ).
tff(c_285892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_285890]) ).
tff(c_285893,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_285874]) ).
tff(c_285966,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_285783,c_285893,c_130]) ).
tff(c_285967,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_418,c_416,c_285966]) ).
tff(c_285784,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_285782,c_280049]) ).
tff(c_285813,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_285784,c_366]) ).
tff(c_285849,plain,
op(e2,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_285813,c_280031,c_279934,c_280055,c_28]) ).
tff(c_285853,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_285849,c_186]) ).
tff(c_285969,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_285967,c_285853]) ).
tff(c_285980,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_285969,c_285755]) ).
tff(c_285982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_285980]) ).
tff(c_285983,plain,
( ( op(e3,e2) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_285781]) ).
tff(c_285985,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_285983]) ).
tff(c_286397,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( e3 = e1 )
| ( op(e4,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_285755,c_285985,c_279666,c_58]) ).
tff(c_286398,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_406,c_410,c_279789,c_402,c_286397]) ).
tff(c_285093,plain,
op(e4,e3) != e1,
inference(splitRight,[status(thm)],[c_283583]) ).
tff(c_286303,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_118]) ).
tff(c_286304,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_280056,c_410,c_279761,c_286303]) ).
tff(c_286305,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_286304]) ).
tff(c_285994,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_285985,c_342]) ).
tff(c_285999,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_112]) ).
tff(c_286000,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_279781,c_285999]) ).
tff(c_286001,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_286000]) ).
tff(c_286010,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_286001,c_290]) ).
tff(c_286005,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_286001,c_277821]) ).
tff(c_285759,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_285755,c_160]) ).
tff(c_286018,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_286005,c_285759]) ).
tff(c_286038,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_286018,c_266]) ).
tff(c_286092,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_285092,c_279728,c_72]) ).
tff(c_286093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286010,c_286038,c_408,c_402,c_279790,c_286092]) ).
tff(c_286094,plain,
( ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_286000]) ).
tff(c_286104,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_286094]) ).
tff(c_286112,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_286104,c_232]) ).
tff(c_286276,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_285994,c_279935,c_279729,c_286112,c_16]) ).
tff(c_285095,plain,
op(e1,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_285092,c_166]) ).
tff(c_286280,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_286276,c_285095]) ).
tff(c_286287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280056,c_286280]) ).
tff(c_286288,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_286094]) ).
tff(c_286292,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_286288,c_186]) ).
tff(c_286332,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_286305,c_286292]) ).
tff(c_286333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_285093,c_286332]) ).
tff(c_286334,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_286304]) ).
tff(c_286338,plain,
op(e3,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_286334,c_158]) ).
tff(c_286400,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_286398,c_286338]) ).
tff(c_286407,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_286400]) ).
tff(c_286409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_286407]) ).
tff(c_286410,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_285983]) ).
tff(c_286412,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_286410,c_285094]) ).
tff(c_286422,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_286412]) ).
tff(c_286424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_286422]) ).
tff(c_286425,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_280046]) ).
tff(c_290218,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_286425]) ).
tff(c_290225,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_290218,c_248]) ).
tff(c_290290,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_116]) ).
tff(c_290291,plain,
( ( op(e4,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_290225,c_279731,c_290290]) ).
tff(c_290292,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_290291]) ).
tff(c_290227,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_290218,c_312]) ).
tff(c_286427,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_114]) ).
tff(c_286428,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_279669,c_286427]) ).
tff(c_286429,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_286428]) ).
tff(c_286433,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_286429,c_276]) ).
tff(c_287379,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_279670,c_42]) ).
tff(c_287380,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_287379]) ).
tff(c_286426,plain,
op(e2,e0) != e3,
inference(splitRight,[status(thm)],[c_280046]) ).
tff(c_286437,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_286429,c_392]) ).
tff(c_287337,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_164529,c_279931,c_286426,c_286437,c_30]) ).
tff(c_287360,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( e3 = e1 )
| ( e4 = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_286429,c_287337,c_136]) ).
tff(c_287361,plain,
op(e4,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_410,c_279730,c_287360]) ).
tff(c_287364,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287361,c_160]) ).
tff(c_287407,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287380,c_287364]) ).
tff(c_287408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286433,c_287407]) ).
tff(c_287409,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_287379]) ).
tff(c_287415,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_287409]) ).
tff(c_287416,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287415,c_287364]) ).
tff(c_287427,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_287416]) ).
tff(c_287429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_287427]) ).
tff(c_287430,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_287409]) ).
tff(c_287363,plain,
op(e3,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_287361,c_192]) ).
tff(c_287434,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_287430,c_287363]) ).
tff(c_286435,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_286429,c_278]) ).
tff(c_287461,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_92]) ).
tff(c_287462,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_286435,c_404,c_279726,c_287461]) ).
tff(c_287463,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_287462]) ).
tff(c_287341,plain,
op(e1,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_287337,c_196]) ).
tff(c_287464,plain,
op(e1,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_287463,c_287341]) ).
tff(c_287511,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_287464,c_312]) ).
tff(c_287345,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_287337,c_254]) ).
tff(c_286438,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_286429,c_390]) ).
tff(c_286452,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_286425]) ).
tff(c_286476,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_286452,c_312]) ).
tff(c_286487,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280033,c_286476,c_279669,c_32]) ).
tff(c_286488,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_286487]) ).
tff(c_286494,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_286488,c_264]) ).
tff(c_286883,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_92]) ).
tff(c_286884,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_286435,c_404,c_279726,c_286883]) ).
tff(c_286885,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_286884]) ).
tff(c_286924,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_286885,c_279928,c_108]) ).
tff(c_286925,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_286494,c_418,c_286924]) ).
tff(c_286926,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_286925]) ).
tff(c_286935,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_286926,c_232]) ).
tff(c_286453,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_164529,c_279931,c_286426,c_286437,c_30]) ).
tff(c_286459,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_286453,c_386]) ).
tff(c_286474,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_286452,c_248]) ).
tff(c_286524,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_112]) ).
tff(c_286525,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_279781,c_286524]) ).
tff(c_286526,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_286525]) ).
tff(c_286432,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_286429,c_198]) ).
tff(c_286528,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_286526,c_286432]) ).
tff(c_286543,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_286528,c_279666]) ).
tff(c_286545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_286543]) ).
tff(c_286546,plain,
( ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_286525]) ).
tff(c_286548,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_286546]) ).
tff(c_286602,plain,
( ( op(e4,e1) = e3 )
| ( e4 = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_286548,c_116]) ).
tff(c_286603,plain,
( ( op(e4,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_286474,c_402,c_286602]) ).
tff(c_286604,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_286603]) ).
tff(c_286607,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_286604,c_286432]) ).
tff(c_286622,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_286607,c_280007]) ).
tff(c_286609,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_286604,c_277821]) ).
tff(c_286495,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_286488,c_262]) ).
tff(c_286779,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_286495,c_255416,c_279761,c_286433,c_34]) ).
tff(c_286827,plain,
( ( e4 = e0 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_286609,c_286779,c_279728,c_286607,c_72]) ).
tff(c_286828,plain,
op(e2,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_402,c_414,c_286827]) ).
tff(c_286575,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_108]) ).
tff(c_286576,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_286494,c_418,c_286575]) ).
tff(c_286577,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_286576]) ).
tff(c_286580,plain,
op(op(e2,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_286577,c_166]) ).
tff(c_286830,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_286828,c_286580]) ).
tff(c_286836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286622,c_286830]) ).
tff(c_286837,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_286603]) ).
tff(c_286491,plain,
op(op(e4,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_286488,c_182]) ).
tff(c_286840,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_286837,c_286491]) ).
tff(c_286849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286459,c_286840]) ).
tff(c_286850,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_286576]) ).
tff(c_286469,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_286452,c_156]) ).
tff(c_286852,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_286850,c_286469]) ).
tff(c_286863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286438,c_286852]) ).
tff(c_286864,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_286546]) ).
tff(c_286456,plain,
op(op(e0,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_286453,c_180]) ).
tff(c_286886,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_286885,c_286456]) ).
tff(c_286979,plain,
( ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_286864,c_286886,c_128]) ).
tff(c_286980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_414,c_286935,c_418,c_286979]) ).
tff(c_286981,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_286925]) ).
tff(c_286983,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_286981,c_286469]) ).
tff(c_286992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286438,c_286983]) ).
tff(c_286993,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_286884]) ).
tff(c_287009,plain,
( ( op(e4,e2) = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_286993,c_108]) ).
tff(c_287010,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_130110,c_286494,c_418,c_414,c_287009]) ).
tff(c_287011,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287010,c_286469]) ).
tff(c_287021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286438,c_287011]) ).
tff(c_287022,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_286487]) ).
tff(c_287028,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_287022,c_320]) ).
tff(c_286477,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_286452,c_318]) ).
tff(c_287282,plain,
op(e0,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_50476,c_287028,c_286477,c_279670,c_42]) ).
tff(c_287054,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_287055,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_287028,c_287054]) ).
tff(c_287056,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_287055]) ).
tff(c_286431,plain,
op(op(e0,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_286429,c_190]) ).
tff(c_287057,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_287056,c_286431]) ).
tff(c_287073,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_287057,c_286452]) ).
tff(c_287075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_287073]) ).
tff(c_287076,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_287055]) ).
tff(c_287081,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_287076,c_334]) ).
tff(c_287254,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_62]) ).
tff(c_287255,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_279937,c_287081,c_404,c_287254]) ).
tff(c_287256,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_287255]) ).
tff(c_287259,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287256,c_160]) ).
tff(c_287283,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287282,c_287259]) ).
tff(c_287293,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286435,c_287283]) ).
tff(c_287294,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_287255]) ).
tff(c_287027,plain,
op(e2,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287022,c_158]) ).
tff(c_287299,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287294,c_287027]) ).
tff(c_287308,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_287299]) ).
tff(c_287310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_287308]) ).
tff(c_287312,plain,
op(e2,e4) != e3,
inference(splitRight,[status(thm)],[c_286425]) ).
tff(c_287517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_287511,c_287345,c_279933,c_287312,c_279664,c_22]) ).
tff(c_287518,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_287462]) ).
tff(c_287532,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_287434,c_287518]) ).
tff(c_287533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_287532]) ).
tff(c_287535,plain,
op(e1,e0) != e4,
inference(splitRight,[status(thm)],[c_286428]) ).
tff(c_287576,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_58]) ).
tff(c_287577,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_279789,c_402,c_287576]) ).
tff(c_287578,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_287577]) ).
tff(c_287561,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_286425]) ).
tff(c_287568,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_287561,c_248]) ).
tff(c_287655,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280031,c_279934,c_287568,c_28]) ).
tff(c_287656,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_287655]) ).
tff(c_287663,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_287656,c_250]) ).
tff(c_287583,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_287578,c_388]) ).
tff(c_287570,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_287561,c_312]) ).
tff(c_287534,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_286428]) ).
tff(c_287536,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_287534]) ).
tff(c_287611,plain,
( ( op(e1,e4) = e3 )
| ( e4 = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_287536,c_118]) ).
tff(c_287612,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_287583,c_410,c_402,c_287570,c_287611]) ).
tff(c_287614,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_287612,c_186]) ).
tff(c_287658,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_287656,c_287614]) ).
tff(c_287728,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e4 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_287658,c_287536,c_279728,c_88]) ).
tff(c_287729,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_414,c_287663,c_416,c_287728]) ).
tff(c_287731,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_287729,c_280007]) ).
tff(c_287741,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_287578,c_287731]) ).
tff(c_287742,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_287655]) ).
tff(c_287615,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_287612,c_178]) ).
tff(c_287744,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_287742,c_287615]) ).
tff(c_287767,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_287744,c_316]) ).
tff(c_287571,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_287561,c_318]) ).
tff(c_287874,plain,
op(e0,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_50476,c_287767,c_287571,c_279670,c_42]) ).
tff(c_287579,plain,
op(e3,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_287578,c_192]) ).
tff(c_287877,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_287874,c_287579]) ).
tff(c_287745,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_287742,c_287614]) ).
tff(c_287831,plain,
( ( e4 = e2 )
| ( e2 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_287578,c_287745,c_279666,c_62]) ).
tff(c_287832,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_406,c_279937,c_412,c_404,c_287831]) ).
tff(c_287902,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_287742,c_287877,c_287832,c_116]) ).
tff(c_287903,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_402,c_416,c_406,c_287902]) ).
tff(c_287910,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_287903,c_255420]) ).
tff(c_287914,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_287877,c_287910]) ).
tff(c_287915,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_287577]) ).
tff(c_287949,plain,
op(e4,e2) = e3,
inference(splitLeft,[status(thm)],[c_287915]) ).
tff(c_287562,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287561,c_156]) ).
tff(c_287953,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287949,c_287562]) ).
tff(c_287962,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_287953]) ).
tff(c_287964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_287962]) ).
tff(c_287965,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_287915]) ).
tff(c_287543,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_287536,c_266]) ).
tff(c_288004,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_92]) ).
tff(c_288005,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_287543,c_404,c_279726,c_288004]) ).
tff(c_288006,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_288005]) ).
tff(c_287989,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_279931,c_286426,c_30]) ).
tff(c_287990,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_287989]) ).
tff(c_287992,plain,
op(op(e0,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_287990,c_180]) ).
tff(c_288019,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_287965,c_288006,c_287992]) ).
tff(c_288020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_288019]) ).
tff(c_288021,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_288005]) ).
tff(c_288031,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_288021,c_232]) ).
tff(c_287917,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280031,c_279934,c_287568,c_28]) ).
tff(c_287918,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_287917]) ).
tff(c_288112,plain,
( ( e4 = e3 )
| ( op(e3,e1) = e4 )
| ( e4 = e0 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_287918,c_287965,c_112]) ).
tff(c_288113,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_288031,c_402,c_288112]) ).
tff(c_288118,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_288113,c_277821]) ).
tff(c_287966,plain,
op(e4,e2) != e3,
inference(splitRight,[status(thm)],[c_287915]) ).
tff(c_288053,plain,
( ( op(e4,e2) = e3 )
| ( e4 = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_288021,c_96]) ).
tff(c_288054,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_402,c_287966,c_288053]) ).
tff(c_288055,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_288054]) ).
tff(c_288057,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_288055,c_287992]) ).
tff(c_287538,plain,
op(e4,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_287536,c_168]) ).
tff(c_288089,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_288057,c_287538]) ).
tff(c_288096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_287966,c_288089]) ).
tff(c_288097,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_288054]) ).
tff(c_287921,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_287918,c_186]) ).
tff(c_288100,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_288097,c_287921]) ).
tff(c_288149,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_288100,c_282]) ).
tff(c_288168,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_288118,c_288149]) ).
tff(c_288169,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_287989]) ).
tff(c_288175,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_288169,c_386]) ).
tff(c_287545,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_287536,c_340]) ).
tff(c_288193,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_287561,c_279666,c_68]) ).
tff(c_288194,plain,
( ( op(e3,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_416,c_414,c_288193]) ).
tff(c_288195,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_288194]) ).
tff(c_287970,plain,
op(op(e1,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_287965,c_158]) ).
tff(c_288196,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_288195,c_287970]) ).
tff(c_288206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_287545,c_288196]) ).
tff(c_288207,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_288194]) ).
tff(c_288215,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_288207,c_224]) ).
tff(c_288347,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_108]) ).
tff(c_288348,plain,
( ( op(e4,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_288215,c_288347]) ).
tff(c_288349,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_288348]) ).
tff(c_287922,plain,
op(op(e1,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_287918,c_178]) ).
tff(c_288350,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_288349,c_287922]) ).
tff(c_288360,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_288350]) ).
tff(c_288362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_288360]) ).
tff(c_288363,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_288348]) ).
tff(c_288367,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_288363,c_287562]) ).
tff(c_288377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_288175,c_288367]) ).
tff(c_288378,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_287917]) ).
tff(c_288388,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_288378,c_366]) ).
tff(c_288389,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_288378,c_378]) ).
tff(c_288438,plain,
op(e4,e2) = e3,
inference(splitLeft,[status(thm)],[c_287915]) ).
tff(c_288439,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_288438,c_287562]) ).
tff(c_288449,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_288439]) ).
tff(c_288451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_288449]) ).
tff(c_288452,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_287915]) ).
tff(c_288513,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e3 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_288452,c_279666,c_66]) ).
tff(c_288514,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_408,c_288513]) ).
tff(c_288515,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_288514]) ).
tff(c_288626,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_288515,c_288452,c_279666,c_62]) ).
tff(c_288627,plain,
op(e4,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_406,c_279937,c_404,c_288626]) ).
tff(c_288475,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_287561,c_279666,c_68]) ).
tff(c_288476,plain,
( ( op(e3,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_416,c_414,c_288475]) ).
tff(c_288477,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_288476]) ).
tff(c_288456,plain,
op(op(e1,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_288452,c_158]) ).
tff(c_288479,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_288477,c_288456]) ).
tff(c_288487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_287545,c_288479]) ).
tff(c_288488,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_288476]) ).
tff(c_288491,plain,
op(op(e4,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_288488,c_162]) ).
tff(c_288631,plain,
op(e2,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_288627,c_288491]) ).
tff(c_288639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_286426,c_288631]) ).
tff(c_288640,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_288514]) ).
tff(c_288642,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_288640]) ).
tff(c_288490,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_288488,c_154]) ).
tff(c_288643,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_288642,c_288490]) ).
tff(c_288653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_288389,c_288643]) ).
tff(c_288654,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_288640]) ).
tff(c_288657,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_288654,c_287562]) ).
tff(c_288667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_288388,c_288657]) ).
tff(c_288668,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_286425]) ).
tff(c_289988,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_288668,c_128]) ).
tff(c_289989,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_416,c_289988]) ).
tff(c_289990,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_289989]) ).
tff(c_288679,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_288668,c_378]) ).
tff(c_287546,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_287536,c_332]) ).
tff(c_288684,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_288685,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_288684]) ).
tff(c_288686,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_288685]) ).
tff(c_288743,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_288686,c_280029,c_288668,c_112]) ).
tff(c_288744,plain,
op(e3,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_402,c_279781,c_288743]) ).
tff(c_287537,plain,
op(op(e3,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_287536,c_184]) ).
tff(c_288746,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_288744,c_287537]) ).
tff(c_288758,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_288746,c_279666]) ).
tff(c_288760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_288758]) ).
tff(c_288761,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_288685]) ).
tff(c_289396,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_288761]) ).
tff(c_288763,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_136]) ).
tff(c_288764,plain,
( ( op(e4,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_286426,c_279730,c_288763]) ).
tff(c_288765,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_288764]) ).
tff(c_288770,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_288765,c_274]) ).
tff(c_288669,plain,
op(e2,e4) != e3,
inference(splitRight,[status(thm)],[c_286425]) ).
tff(c_289257,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_56]) ).
tff(c_289258,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_288770,c_288669,c_279733,c_402,c_289257]) ).
tff(c_288772,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_288765,c_388]) ).
tff(c_288796,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_288772,c_279784,c_10]) ).
tff(c_288797,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_288796]) ).
tff(c_288875,plain,
( ( op(e1,e4) = e2 )
| ( e4 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_288765,c_280029,c_287536,c_122]) ).
tff(c_288876,plain,
op(e1,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_406,c_412,c_279930,c_404,c_288875]) ).
tff(c_288981,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_92]) ).
tff(c_288982,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_287543,c_404,c_279726,c_288981]) ).
tff(c_288983,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_288982]) ).
tff(c_288801,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_288797,c_384]) ).
tff(c_288968,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_164529,c_288801,c_279931,c_286426,c_30]) ).
tff(c_288971,plain,
op(op(e0,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_288968,c_180]) ).
tff(c_288995,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_288983,c_288971]) ).
tff(c_288996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_288995]) ).
tff(c_288997,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_288982]) ).
tff(c_288860,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_288668,c_279928,c_106]) ).
tff(c_288861,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_288801,c_410,c_412,c_288860]) ).
tff(c_288862,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_288861]) ).
tff(c_288865,plain,
op(e1,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_288862,c_166]) ).
tff(c_289000,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_288997,c_288865]) ).
tff(c_289009,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_288876,c_289000]) ).
tff(c_289011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_289009]) ).
tff(c_289012,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_288861]) ).
tff(c_289205,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_288668,c_279928,c_289012,c_110]) ).
tff(c_289206,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_164529,c_416,c_418,c_420,c_289205]) ).
tff(c_289111,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_164529,c_288801,c_279931,c_286426,c_30]) ).
tff(c_289038,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_92]) ).
tff(c_289039,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_287543,c_404,c_279726,c_289038]) ).
tff(c_289040,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_289039]) ).
tff(c_289042,plain,
op(op(e2,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_289040,c_196]) ).
tff(c_289113,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_289111,c_289042]) ).
tff(c_289123,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_289113,c_279666]) ).
tff(c_289125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_289123]) ).
tff(c_289126,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_289039]) ).
tff(c_289128,plain,
op(e4,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_289126,c_174]) ).
tff(c_289207,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_289206,c_289128]) ).
tff(c_289215,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_288797,c_289207]) ).
tff(c_289217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_289215]) ).
tff(c_289218,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_288796]) ).
tff(c_289222,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_289218,c_160]) ).
tff(c_289271,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_289258,c_289222]) ).
tff(c_289280,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_289271,c_232]) ).
tff(c_289330,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_288668,c_112]) ).
tff(c_289331,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_289280,c_279781,c_289330]) ).
tff(c_289337,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289331,c_277821]) ).
tff(c_289359,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289337,c_289258]) ).
tff(c_289361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_289359]) ).
tff(c_289362,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_288764]) ).
tff(c_289365,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_289362,c_160]) ).
tff(c_289397,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_289396,c_289365]) ).
tff(c_289408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_287546,c_289397]) ).
tff(c_289409,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_288761]) ).
tff(c_289991,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289990,c_287537]) ).
tff(c_290072,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_289409,c_289991,c_138]) ).
tff(c_290073,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_288679,c_406,c_410,c_290072]) ).
tff(c_289936,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_288668,c_279928,c_106]) ).
tff(c_289937,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_412,c_289936]) ).
tff(c_289938,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_289937]) ).
tff(c_289940,plain,
op(op(e0,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_289938,c_180]) ).
tff(c_290075,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_290073,c_289940]) ).
tff(c_290082,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_289990,c_290075]) ).
tff(c_290084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_290082]) ).
tff(c_290085,plain,
op(e4,e1) = e0,
inference(splitRight,[status(thm)],[c_289989]) ).
tff(c_289363,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_288764]) ).
tff(c_289439,plain,
( ( op(e1,e4) = e3 )
| ( e4 = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_287536,c_118]) ).
tff(c_289440,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_289363,c_410,c_402,c_289439]) ).
tff(c_289441,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_289440]) ).
tff(c_288671,plain,
op(e3,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_288668,c_186]) ).
tff(c_289442,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289441,c_288671]) ).
tff(c_289456,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289442,c_279728]) ).
tff(c_289458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_289456]) ).
tff(c_289459,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_289440]) ).
tff(c_289462,plain,
op(op(e4,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289459,c_182]) ).
tff(c_290087,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290085,c_289462]) ).
tff(c_290100,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290087,c_289409]) ).
tff(c_290102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_290100]) ).
tff(c_290103,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_289937]) ).
tff(c_290145,plain,
op(e2,e4) = e1,
inference(splitLeft,[status(thm)],[c_290103]) ).
tff(c_289474,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_104]) ).
tff(c_289475,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_279929,c_412,c_289474]) ).
tff(c_289476,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_289475]) ).
tff(c_289484,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_289476,c_284]) ).
tff(c_289536,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_288668,c_128]) ).
tff(c_289537,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_416,c_289536]) ).
tff(c_289538,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_289537]) ).
tff(c_289539,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289538,c_287537]) ).
tff(c_289549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289484,c_289539]) ).
tff(c_289550,plain,
op(e4,e1) = e0,
inference(splitRight,[status(thm)],[c_289537]) ).
tff(c_289552,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289550,c_289462]) ).
tff(c_289565,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289552,c_289409]) ).
tff(c_289567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_289565]) ).
tff(c_289568,plain,
( ( op(e3,e2) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_289475]) ).
tff(c_289578,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_289568]) ).
tff(c_289593,plain,
( ( e4 = e1 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_289578,c_92]) ).
tff(c_289594,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_287543,c_404,c_408,c_289593]) ).
tff(c_289595,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_289594]) ).
tff(c_289602,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_289595,c_292]) ).
tff(c_289588,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_289578,c_342]) ).
tff(c_289601,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_289595,c_356]) ).
tff(c_289648,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_289588,c_279935,c_279729,c_289601,c_16]) ).
tff(c_289625,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_288668,c_279928,c_110]) ).
tff(c_289626,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_416,c_418,c_289625]) ).
tff(c_289627,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_289626]) ).
tff(c_289630,plain,
op(e0,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_289627,c_166]) ).
tff(c_289649,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_289648,c_289630]) ).
tff(c_289659,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_289649]) ).
tff(c_289661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_289659]) ).
tff(c_289662,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_289626]) ).
tff(c_289580,plain,
op(op(e2,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_289578,c_156]) ).
tff(c_289664,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_289662,c_289580]) ).
tff(c_289674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289602,c_289664]) ).
tff(c_289675,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_289594]) ).
tff(c_289775,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_289675,c_238]) ).
tff(c_288677,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_288668,c_364]) ).
tff(c_289782,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280036,c_288677,c_279781,c_8]) ).
tff(c_289783,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_289782]) ).
tff(c_289463,plain,
op(e3,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_289459,c_158]) ).
tff(c_289785,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_289783,c_289463]) ).
tff(c_289793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289775,c_289785]) ).
tff(c_289794,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_289782]) ).
tff(c_289811,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_289794,c_289462]) ).
tff(c_289898,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e4 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_289409,c_287536,c_289811,c_279728,c_88]) ).
tff(c_289899,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_414,c_420,c_416,c_289898]) ).
tff(c_289902,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_289899,c_280007]) ).
tff(c_289909,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_289362,c_289902]) ).
tff(c_289910,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_289568]) ).
tff(c_289918,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_289910,c_238]) ).
tff(c_290105,plain,
( ( op(e4,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_289910,c_108]) ).
tff(c_290106,plain,
( ( op(e4,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_420,c_290105]) ).
tff(c_290107,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_290106]) ).
tff(c_290109,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290107,c_288671]) ).
tff(c_290118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_289918,c_290109]) ).
tff(c_290119,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_290106]) ).
tff(c_290123,plain,
op(op(e2,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_290119,c_156]) ).
tff(c_290146,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_290145,c_290123]) ).
tff(c_290156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_287535,c_290146]) ).
tff(c_290157,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_290103]) ).
tff(c_289912,plain,
op(e1,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_289910,c_174]) ).
tff(c_290159,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_290157,c_289912]) ).
tff(c_290167,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_290159]) ).
tff(c_290169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_290167]) ).
tff(c_290170,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_287534]) ).
tff(c_290254,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_290170,c_118]) ).
tff(c_290255,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_402,c_279761,c_290227,c_290254]) ).
tff(c_290259,plain,
op(op(e0,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290255,c_190]) ).
tff(c_290294,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290292,c_290259]) ).
tff(c_290322,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290294,c_279728]) ).
tff(c_290324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_290322]) ).
tff(c_290325,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_290291]) ).
tff(c_290341,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280031,c_279934,c_290225,c_28]) ).
tff(c_290342,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_290341]) ).
tff(c_290326,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_290291]) ).
tff(c_290233,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_62]) ).
tff(c_290234,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_279937,c_404,c_290233]) ).
tff(c_290235,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_290234]) ).
tff(c_290381,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_290235,c_290325,c_279666,c_66]) ).
tff(c_290382,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_410,c_408,c_290381]) ).
tff(c_290383,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_290382]) ).
tff(c_290219,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_290218,c_156]) ).
tff(c_290387,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_290383,c_290219]) ).
tff(c_290405,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_290387,c_376]) ).
tff(c_290571,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_233155,c_280037,c_290326,c_290405,c_48]) ).
tff(c_290578,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_290571,c_255420]) ).
tff(c_290583,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_290342,c_290578]) ).
tff(c_290584,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_290382]) ).
tff(c_290587,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_290584,c_280007]) ).
tff(c_290598,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_290325,c_290587]) ).
tff(c_290599,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_290341]) ).
tff(c_290172,plain,
op(op(e2,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290170,c_186]) ).
tff(c_290602,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290599,c_290172]) ).
tff(c_290617,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290602,c_279666]) ).
tff(c_290619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_290617]) ).
tff(c_290621,plain,
op(e4,e0) != e2,
inference(splitRight,[status(thm)],[c_290234]) ).
tff(c_290805,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_290218,c_110]) ).
tff(c_290806,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_418,c_416,c_290805]) ).
tff(c_290807,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_290806]) ).
tff(c_290173,plain,
op(e4,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_290170,c_178]) ).
tff(c_290811,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_290807,c_290173]) ).
tff(c_290818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_290621,c_290811]) ).
tff(c_290819,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_290806]) ).
tff(c_290176,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_290170,c_350]) ).
tff(c_290190,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_279935,c_279729,c_290176,c_16]) ).
tff(c_290191,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_290190]) ).
tff(c_290194,plain,
op(op(e2,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_290191,c_166]) ).
tff(c_290822,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_290819,c_290194]) ).
tff(c_290829,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_290822]) ).
tff(c_290831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_290829]) ).
tff(c_290832,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_286425]) ).
tff(c_290834,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_290832,c_290172]) ).
tff(c_290857,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_290834,c_316]) ).
tff(c_290200,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_290191,c_232]) ).
tff(c_291028,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_290832,c_128]) ).
tff(c_291029,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_416,c_290200,c_291028]) ).
tff(c_290856,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_290834,c_306]) ).
tff(c_290833,plain,
op(e2,e4) != e3,
inference(splitRight,[status(thm)],[c_286425]) ).
tff(c_290877,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_290856,c_279933,c_290833,c_279664,c_22]) ).
tff(c_290904,plain,
( ( e4 = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_290877,c_290834,c_279666,c_56]) ).
tff(c_290905,plain,
( ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_402,c_290904]) ).
tff(c_290906,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_290905]) ).
tff(c_290913,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_290906,c_284]) ).
tff(c_290835,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_290832,c_290173]) ).
tff(c_290862,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_290835,c_280007]) ).
tff(c_290970,plain,
( ( op(e4,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_290170,c_279928,c_290191,c_96]) ).
tff(c_290971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_290913,c_402,c_406,c_416,c_290862,c_290970]) ).
tff(c_290972,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_290905]) ).
tff(c_290977,plain,
op(e3,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_290972,c_158]) ).
tff(c_291030,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_291029,c_290977]) ).
tff(c_291048,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_291030,c_240]) ).
tff(c_291118,plain,
( ( e4 = e0 )
| ( op(e3,e1) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280029,c_290832,c_291029,c_112]) ).
tff(c_291119,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_291048,c_414,c_291118]) ).
tff(c_291124,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291119,c_277821]) ).
tff(c_291131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_290857,c_291124]) ).
tff(c_291132,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_290190]) ).
tff(c_291143,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_291132,c_224]) ).
tff(c_291141,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_291132,c_342]) ).
tff(c_291153,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_280031,c_279934,c_28]) ).
tff(c_291154,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_291153]) ).
tff(c_291155,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_291154,c_290173]) ).
tff(c_291279,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291155,c_279666,c_66]) ).
tff(c_291280,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_280036,c_291141,c_408,c_291279]) ).
tff(c_291282,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_291280,c_280007]) ).
tff(c_291307,plain,
( ( e4 = e3 )
| ( e3 = e1 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291155,c_291280,c_279666,c_58]) ).
tff(c_291308,plain,
op(e4,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_406,c_291282,c_410,c_402,c_291307]) ).
tff(c_291203,plain,
( ( e3 = e0 )
| ( op(e2,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291154,c_286425]) ).
tff(c_291204,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_291203]) ).
tff(c_291207,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_291204,c_156]) ).
tff(c_291310,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_291308,c_291207]) ).
tff(c_291316,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_291310]) ).
tff(c_291318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_291316]) ).
tff(c_291319,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_291153]) ).
tff(c_291329,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_291319]) ).
tff(c_291330,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291329,c_290172]) ).
tff(c_291361,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291330,c_279666]) ).
tff(c_291363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_291361]) ).
tff(c_291364,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_291319]) ).
tff(c_291366,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291364,c_290172]) ).
tff(c_291378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291143,c_291366]) ).
tff(c_291379,plain,
( ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_280006]) ).
tff(c_291440,plain,
( ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,e2) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_291381,c_291424,c_291379]) ).
tff(c_291441,plain,
op(e0,op(e0,e2)) != e2,
inference(splitLeft,[status(thm)],[c_291440]) ).
tff(c_291919,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_291916,c_291441]) ).
tff(c_291929,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_291510,c_291919]) ).
tff(c_291930,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_291451]) ).
tff(c_291932,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_291930]) ).
tff(c_291940,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_291932,c_306]) ).
tff(c_291983,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_90]) ).
tff(c_291984,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_416,c_291940,c_291983]) ).
tff(c_291985,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_291984]) ).
tff(c_291990,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_291985,c_362]) ).
tff(c_292198,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_291990,c_291388,c_291431,c_279781,c_8]) ).
tff(c_292025,plain,
( ( e4 = e0 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_291932,c_94]) ).
tff(c_292026,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_414,c_292025]) ).
tff(c_292027,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_292026]) ).
tff(c_291961,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_291959,c_196]) ).
tff(c_292030,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_292027,c_291961]) ).
tff(c_292037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291990,c_292030]) ).
tff(c_292039,plain,
op(e2,e0) != e4,
inference(splitRight,[status(thm)],[c_292026]) ).
tff(c_292008,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_118]) ).
tff(c_292009,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279761,c_292008]) ).
tff(c_292010,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_292009]) ).
tff(c_292063,plain,
( ( e4 = e2 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( e4 = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_292010,c_291424,c_132]) ).
tff(c_292064,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_292039,c_404,c_292063]) ).
tff(c_292070,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_292064,c_238]) ).
tff(c_291969,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_291959,c_284]) ).
tff(c_292093,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_291969,c_279670,c_42]) ).
tff(c_292094,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_292093]) ).
tff(c_292097,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_292094,c_291426]) ).
tff(c_292104,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_292097]) ).
tff(c_292106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_292104]) ).
tff(c_292107,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_292093]) ).
tff(c_292112,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_292107,c_291426]) ).
tff(c_292120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_292070,c_292112]) ).
tff(c_292121,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_292009]) ).
tff(c_292123,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_292121]) ).
tff(c_292127,plain,
op(e3,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_292123,c_158]) ).
tff(c_292199,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_292198,c_292127]) ).
tff(c_292209,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_292199]) ).
tff(c_292211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_292209]) ).
tff(c_292212,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_292121]) ).
tff(c_291993,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_291985,c_232]) ).
tff(c_291966,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_291959,c_356]) ).
tff(c_292235,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_291993,c_291966,c_279935,c_279729,c_16]) ).
tff(c_292296,plain,
( ( op(e4,e2) = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291959,c_292212,c_279928,c_292235,c_108]) ).
tff(c_292297,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_418,c_414,c_292296]) ).
tff(c_291933,plain,
op(e0,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_291932,c_156]) ).
tff(c_292300,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_292297,c_291933]) ).
tff(c_292306,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_292300]) ).
tff(c_292308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_292306]) ).
tff(c_292310,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_291984]) ).
tff(c_291434,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_382]) ).
tff(c_292540,plain,
( ( e3 = e2 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_291424,c_136]) ).
tff(c_292541,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279730,c_406,c_292540]) ).
tff(c_292542,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_292541]) ).
tff(c_292570,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_292542,c_278]) ).
tff(c_292309,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_291984]) ).
tff(c_292636,plain,
( ( op(e4,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291959,c_279928,c_292309,c_96]) ).
tff(c_292637,plain,
op(e4,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_292570,c_406,c_416,c_292636]) ).
tff(c_291934,plain,
op(op(e4,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_291932,c_172]) ).
tff(c_292641,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_292637,c_291934]) ).
tff(c_292648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291434,c_292641]) ).
tff(c_292649,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_292541]) ).
tff(c_292652,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_292649,c_291961]) ).
tff(c_292660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_292310,c_292652]) ).
tff(c_292662,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_291958]) ).
tff(c_291931,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_291451]) ).
tff(c_292661,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_291958]) ).
tff(c_292663,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_292661]) ).
tff(c_292664,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_292663,c_291425]) ).
tff(c_292674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291931,c_292664]) ).
tff(c_292675,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_292661]) ).
tff(c_292724,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_292675,c_142]) ).
tff(c_292725,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_412,c_292724]) ).
tff(c_292726,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_292725]) ).
tff(c_292730,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_292726,c_277821]) ).
tff(c_292739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_292662,c_292730]) ).
tff(c_292740,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_292725]) ).
tff(c_292746,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_292740,c_291426]) ).
tff(c_292753,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_292746]) ).
tff(c_292755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_292753]) ).
tff(c_292756,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_291930]) ).
tff(c_292767,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_292756,c_332]) ).
tff(c_293249,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_279670,c_42]) ).
tff(c_293250,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_293249]) ).
tff(c_293251,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_293250,c_291425]) ).
tff(c_293261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291931,c_293251]) ).
tff(c_293262,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_293249]) ).
tff(c_293264,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_293262]) ).
tff(c_293267,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_293264,c_291426]) ).
tff(c_293284,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_293267,c_350]) ).
tff(c_292782,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_90]) ).
tff(c_292783,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_416,c_292782]) ).
tff(c_292784,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_292783]) ).
tff(c_292789,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_292784,c_362]) ).
tff(c_293425,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_292789,c_291388,c_291431,c_279781,c_8]) ).
tff(c_292762,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_292756,c_324]) ).
tff(c_292974,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_279666,c_66]) ).
tff(c_292975,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_291388,c_408,c_292974]) ).
tff(c_292976,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_292975]) ).
tff(c_292983,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_292976,c_354]) ).
tff(c_292807,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_130]) ).
tff(c_292808,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_292767,c_292807]) ).
tff(c_292809,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_292808]) ).
tff(c_292816,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_292809,c_264]) ).
tff(c_292930,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_292816,c_291385,c_279669,c_32]) ).
tff(c_292931,plain,
op(e1,e4) = e2,
inference(splitLeft,[status(thm)],[c_292930]) ).
tff(c_292936,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_292931,c_320]) ).
tff(c_292836,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( e4 = e0 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_292756,c_279728,c_72]) ).
tff(c_292837,plain,
( ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_279790,c_292836]) ).
tff(c_292838,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_292837]) ).
tff(c_292998,plain,
( ( op(e0,e4) = e2 )
| ( e4 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_292838,c_142]) ).
tff(c_292999,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_404,c_292936,c_292998]) ).
tff(c_293004,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_292999,c_277821]) ).
tff(c_293012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_292983,c_293004]) ).
tff(c_293013,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_292975]) ).
tff(c_291380,plain,
op(e4,op(e4,e3)) = e3,
inference(splitRight,[status(thm)],[c_280006]) ).
tff(c_293017,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_293013,c_291380]) ).
tff(c_292935,plain,
op(e2,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_292931,c_158]) ).
tff(c_293030,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_293017,c_292935]) ).
tff(c_293038,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_292756,c_293030]) ).
tff(c_293040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_293038]) ).
tff(c_293041,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_292930]) ).
tff(c_293048,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_293041,c_320]) ).
tff(c_292843,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_292838,c_286]) ).
tff(c_293108,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_292843,c_46]) ).
tff(c_293109,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_293108]) ).
tff(c_293173,plain,
( ( op(e0,e4) = e3 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_293109,c_292838,c_138]) ).
tff(c_293174,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_402,c_293048,c_293173]) ).
tff(c_292847,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_292838,c_340]) ).
tff(c_293084,plain,
( ( e4 = e3 )
| ( op(e1,e3) = e4 )
| ( e4 = e0 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_292809,c_293041,c_114]) ).
tff(c_293085,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_292847,c_402,c_293084]) ).
tff(c_293090,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_293085,c_198]) ).
tff(c_293176,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_293174,c_293090]) ).
tff(c_293187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_292762,c_293176]) ).
tff(c_293188,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_293108]) ).
tff(c_292792,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_292784,c_232]) ).
tff(c_292884,plain,
( ( op(e0,e4) = e2 )
| ( e4 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_292838,c_142]) ).
tff(c_292885,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_404,c_292884]) ).
tff(c_292886,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_292885]) ).
tff(c_292852,plain,
( ( e3 = e2 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_291424,c_136]) ).
tff(c_292853,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279730,c_406,c_292852]) ).
tff(c_292854,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_292853]) ).
tff(c_292858,plain,
op(e3,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_292854,c_198]) ).
tff(c_292889,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_292886,c_292858]) ).
tff(c_292901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_292792,c_292889]) ).
tff(c_292902,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_292885]) ).
tff(c_292905,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_292902,c_291426]) ).
tff(c_292913,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_292905]) ).
tff(c_292915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_292913]) ).
tff(c_292916,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_292853]) ).
tff(c_292919,plain,
op(op(e0,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_292916,c_180]) ).
tff(c_293190,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_293188,c_292919]) ).
tff(c_293208,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_293190,c_279728]) ).
tff(c_293210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_293208]) ).
tff(c_293211,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_292837]) ).
tff(c_292787,plain,
op(op(e1,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_292784,c_168]) ).
tff(c_293213,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_293211,c_292787]) ).
tff(c_293222,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_293213]) ).
tff(c_293224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_293222]) ).
tff(c_293225,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_292808]) ).
tff(c_293229,plain,
op(e0,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_293225,c_158]) ).
tff(c_293427,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_293425,c_293229]) ).
tff(c_293460,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_293427,c_340]) ).
tff(c_293300,plain,
( ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_293225,c_118]) ).
tff(c_293301,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279761,c_416,c_293300]) ).
tff(c_293302,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_293301]) ).
tff(c_293485,plain,
( ( e4 = e0 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_293302,c_291381,c_293225,c_114]) ).
tff(c_293486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_408,c_293284,c_293460,c_414,c_293485]) ).
tff(c_293488,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_293301]) ).
tff(c_293511,plain,
( ( e3 = e2 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_291424,c_136]) ).
tff(c_293512,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_293488,c_279730,c_406,c_293511]) ).
tff(c_293529,plain,
( ( op(e2,e4) = e4 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_293512,c_279928,c_292756,c_94]) ).
tff(c_293530,plain,
op(e2,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_414,c_279664,c_293529]) ).
tff(c_293487,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_293301]) ).
tff(c_293491,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_293487,c_186]) ).
tff(c_293533,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_293530,c_293491]) ).
tff(c_293557,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_293533,c_291380]) ).
tff(c_293569,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_293557,c_293229]) ).
tff(c_293587,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_293569,c_340]) ).
tff(c_293659,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_292767,c_255416,c_279761,c_293587,c_34]) ).
tff(c_292786,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_292784,c_184]) ).
tff(c_293662,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_293659,c_292786]) ).
tff(c_293675,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_293662,c_291441]) ).
tff(c_293271,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_293264,c_288]) ).
tff(c_293539,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_293530,c_378]) ).
tff(c_293697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233155,c_291389,c_293675,c_293271,c_293539,c_48]) ).
tff(c_293698,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_293262]) ).
tff(c_293702,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_293698,c_291426]) ).
tff(c_293710,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_293702]) ).
tff(c_293712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_293710]) ).
tff(c_293713,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_292783]) ).
tff(c_293715,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_293713]) ).
tff(c_293730,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_118]) ).
tff(c_293731,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279761,c_293730]) ).
tff(c_293732,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_293731]) ).
tff(c_293739,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_293732,c_278]) ).
tff(c_293740,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_293732,c_392]) ).
tff(c_294284,plain,
( ( op(e2,e4) = e4 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_292756,c_94]) ).
tff(c_294285,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_414,c_279664,c_294284]) ).
tff(c_294286,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_294285]) ).
tff(c_293714,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_292783]) ).
tff(c_293797,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_128]) ).
tff(c_293798,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_291931,c_293714,c_293797]) ).
tff(c_293767,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_293768,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_291389,c_293767]) ).
tff(c_293769,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_293768]) ).
tff(c_293770,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_293769,c_291441]) ).
tff(c_293777,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_293769,c_286]) ).
tff(c_293885,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_293769,c_138]) ).
tff(c_293886,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_279732,c_293885]) ).
tff(c_293887,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_293886]) ).
tff(c_293892,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_293887,c_277821]) ).
tff(c_293900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_293777,c_293892]) ).
tff(c_293902,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_293886]) ).
tff(c_293941,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_233155,c_291389,c_293770,c_293902,c_48]) ).
tff(c_293948,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_293941,c_255420]) ).
tff(c_293956,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_293798,c_293948]) ).
tff(c_293958,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_293768]) ).
tff(c_294259,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_293958,c_279932,c_46]) ).
tff(c_294260,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_294259]) ).
tff(c_294264,plain,
op(e3,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_294260,c_180]) ).
tff(c_294287,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_294286,c_294264]) ).
tff(c_294295,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_293715,c_294287]) ).
tff(c_294297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_294295]) ).
tff(c_294299,plain,
op(e2,e0) != e4,
inference(splitRight,[status(thm)],[c_294285]) ).
tff(c_294324,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_164529,c_279931,c_293740,c_294299,c_30]) ).
tff(c_294263,plain,
op(op(e2,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_294260,c_196]) ).
tff(c_294327,plain,
op(e1,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_294324,c_294263]) ).
tff(c_294334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_292767,c_294327]) ).
tff(c_294335,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_294259]) ).
tff(c_293738,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_293732,c_274]) ).
tff(c_293957,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_293768]) ).
tff(c_293959,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_293957]) ).
tff(c_293960,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_293959,c_291425]) ).
tff(c_293970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291931,c_293960]) ).
tff(c_293971,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_293957]) ).
tff(c_293976,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_293971,c_334]) ).
tff(c_294049,plain,
( ( op(e2,e4) = e4 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_292756,c_94]) ).
tff(c_294050,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_414,c_279664,c_294049]) ).
tff(c_294051,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_294050]) ).
tff(c_294058,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_294051,c_260]) ).
tff(c_294082,plain,
( ( op(e0,e4) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_293971,c_138]) ).
tff(c_294083,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_294082]) ).
tff(c_294084,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_294083]) ).
tff(c_293736,plain,
op(e3,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_293732,c_198]) ).
tff(c_294087,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_294084,c_293736]) ).
tff(c_294102,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_294087,c_279728]) ).
tff(c_294104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_294102]) ).
tff(c_294105,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_294083]) ).
tff(c_294107,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_294105]) ).
tff(c_294110,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_294107,c_291426]) ).
tff(c_294133,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_294110,c_232]) ).
tff(c_293998,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_279666,c_70]) ).
tff(c_293999,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_292762,c_414,c_293998]) ).
tff(c_294000,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_293999]) ).
tff(c_294140,plain,
( ( e4 = e0 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_294000,c_112]) ).
tff(c_294141,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_294058,c_294133,c_414,c_294140]) ).
tff(c_293735,plain,
op(op(e0,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_293732,c_190]) ).
tff(c_294144,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_294141,c_293735]) ).
tff(c_294154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_293976,c_294144]) ).
tff(c_294155,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_294105]) ).
tff(c_294053,plain,
op(e4,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_294051,c_196]) ).
tff(c_294157,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_294155,c_294053]) ).
tff(c_294169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_292762,c_294157]) ).
tff(c_294171,plain,
op(e2,e0) != e4,
inference(splitRight,[status(thm)],[c_294050]) ).
tff(c_294221,plain,
( ( e4 = e2 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( e4 = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_293732,c_291424,c_132]) ).
tff(c_294222,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_294171,c_404,c_294221]) ).
tff(c_293973,plain,
op(e1,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_293971,c_170]) ).
tff(c_294224,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_294222,c_293973]) ).
tff(c_294233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_293738,c_294224]) ).
tff(c_294234,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_293999]) ).
tff(c_294352,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_294335,c_279928,c_294234,c_96]) ).
tff(c_294353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_293739,c_406,c_279729,c_416,c_294352]) ).
tff(c_294355,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_293731]) ).
tff(c_294763,plain,
( ( e3 = e2 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_291424,c_136]) ).
tff(c_294764,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_294355,c_279730,c_406,c_294763]) ).
tff(c_294842,plain,
( ( op(e2,e4) = e4 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_294764,c_279928,c_292756,c_94]) ).
tff(c_294843,plain,
op(e2,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_414,c_279664,c_294842]) ).
tff(c_294354,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_293731]) ).
tff(c_294364,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_294354]) ).
tff(c_294369,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_294364,c_320]) ).
tff(c_291429,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_388]) ).
tff(c_293722,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_293715,c_224]) ).
tff(c_294619,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_293722,c_279935,c_279729,c_16]) ).
tff(c_294620,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_294619]) ).
tff(c_292758,plain,
op(op(e3,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_292756,c_174]) ).
tff(c_294622,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_294620,c_292758]) ).
tff(c_294631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291429,c_294622]) ).
tff(c_294632,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_294619]) ).
tff(c_292759,plain,
op(e0,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_292756,c_166]) ).
tff(c_294637,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_294632,c_292759]) ).
tff(c_294646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_294369,c_294637]) ).
tff(c_294647,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_294354]) ).
tff(c_294650,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_294647,c_178]) ).
tff(c_294844,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_294843,c_294650]) ).
tff(c_294853,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_293715,c_294844]) ).
tff(c_294855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_294853]) ).
tff(c_294856,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_293713]) ).
tff(c_294858,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_294856,c_292758]) ).
tff(c_294868,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_294858]) ).
tff(c_294870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_294868]) ).
tff(c_294872,plain,
op(e0,op(e0,e2)) = e2,
inference(splitRight,[status(thm)],[c_291440]) ).
tff(c_296074,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_296072,c_294872]) ).
tff(c_295797,plain,
op(op(e0,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_295794,c_190]) ).
tff(c_296090,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_296074,c_295797]) ).
tff(c_296134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296112,c_296090]) ).
tff(c_296135,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_296071]) ).
tff(c_294915,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_88]) ).
tff(c_294916,plain,
( ( op(e4,e3) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_294892,c_416,c_294915]) ).
tff(c_294917,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_294916]) ).
tff(c_294922,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_294917,c_324]) ).
tff(c_295232,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_279666,c_70]) ).
tff(c_295233,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_294922,c_414,c_295232]) ).
tff(c_295234,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_295233]) ).
tff(c_294887,plain,
op(op(e4,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_294886,c_182]) ).
tff(c_295235,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_295234,c_294887]) ).
tff(c_295245,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_295235]) ).
tff(c_295247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_295245]) ).
tff(c_295248,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_295233]) ).
tff(c_294871,plain,
( ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_291440]) ).
tff(c_294901,plain,
( ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e0) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_294886,c_294871]) ).
tff(c_294902,plain,
op(e4,op(e4,e2)) != e2,
inference(splitLeft,[status(thm)],[c_294901]) ).
tff(c_295250,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_295248,c_294902]) ).
tff(c_295261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_295250]) ).
tff(c_295262,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_294916]) ).
tff(c_295265,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_295262,c_291380]) ).
tff(c_295275,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_295265]) ).
tff(c_295277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_295275]) ).
tff(c_295279,plain,
op(e4,op(e4,e2)) = e2,
inference(splitRight,[status(thm)],[c_294901]) ).
tff(c_296137,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_296135,c_295279]) ).
tff(c_296147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291431,c_296137]) ).
tff(c_296149,plain,
op(e3,e2) != e4,
inference(splitRight,[status(thm)],[c_296019]) ).
tff(c_296164,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_84]) ).
tff(c_296165,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_410,c_296164]) ).
tff(c_296166,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_296165]) ).
tff(c_291433,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_216]) ).
tff(c_295317,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_279670,c_42]) ).
tff(c_295318,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_295317]) ).
tff(c_295320,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_295318,c_291426]) ).
tff(c_295391,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_295320,c_279928,c_96]) ).
tff(c_295392,plain,
( ( op(e4,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_279729,c_295391]) ).
tff(c_295393,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_295392]) ).
tff(c_295396,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_295393,c_294872]) ).
tff(c_295278,plain,
( ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,e2) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,e0) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(splitRight,[status(thm)],[c_294901]) ).
tff(c_295292,plain,
op(e0,op(e0,e3)) != e3,
inference(splitLeft,[status(thm)],[c_295278]) ).
tff(c_295410,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_295396,c_295292]) ).
tff(c_295421,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_295393,c_295410]) ).
tff(c_295422,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_295392]) ).
tff(c_295424,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_295422,c_295279]) ).
tff(c_295432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291433,c_295424]) ).
tff(c_295433,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_295317]) ).
tff(c_295435,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_295433]) ).
tff(c_295438,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_295435,c_291426]) ).
tff(c_295437,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_295435,c_291425]) ).
tff(c_295450,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_104]) ).
tff(c_295451,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_279929,c_412,c_295450]) ).
tff(c_295452,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_295451]) ).
tff(c_295454,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_295452,c_294872]) ).
tff(c_295293,plain,
( ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_294886,c_118]) ).
tff(c_295294,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279761,c_416,c_295293]) ).
tff(c_295295,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_295294]) ).
tff(c_295298,plain,
op(op(e0,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_295295,c_190]) ).
tff(c_295496,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_295454,c_295298]) ).
tff(c_295505,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_295437,c_295496]) ).
tff(c_295507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_295505]) ).
tff(c_295508,plain,
( ( op(e3,e2) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_295451]) ).
tff(c_295538,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_295438,c_295508]) ).
tff(c_295539,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_295538]) ).
tff(c_295540,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_295539,c_295279]) ).
tff(c_295550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291431,c_295540]) ).
tff(c_295551,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_295433]) ).
tff(c_295556,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_295551,c_291426]) ).
tff(c_295564,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_295556]) ).
tff(c_295566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_295564]) ).
tff(c_295567,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_295294]) ).
tff(c_295593,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_279670,c_42]) ).
tff(c_295594,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_295593]) ).
tff(c_295596,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_295594,c_291426]) ).
tff(c_295604,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_295567,c_295596]) ).
tff(c_295606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_295604]) ).
tff(c_295607,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_295593]) ).
tff(c_295609,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_295607]) ).
tff(c_295612,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_295609,c_291426]) ).
tff(c_295655,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_295567,c_279928,c_295612,c_104]) ).
tff(c_295656,plain,
( ( op(e4,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_412,c_408,c_295655]) ).
tff(c_295657,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_295656]) ).
tff(c_295664,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_295657,c_354]) ).
tff(c_295706,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_279666,c_66]) ).
tff(c_295707,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_291388,c_295664,c_408,c_295706]) ).
tff(c_295710,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_295707,c_291380]) ).
tff(c_294889,plain,
op(e0,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_294886,c_158]) ).
tff(c_295723,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_295710,c_294889]) ).
tff(c_295737,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_295723,c_295292]) ).
tff(c_295745,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_295609,c_295737]) ).
tff(c_295746,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_295656]) ).
tff(c_295763,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_295746,c_295279]) ).
tff(c_295770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291431,c_295763]) ).
tff(c_295771,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_295607]) ).
tff(c_295775,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_295771,c_291426]) ).
tff(c_295783,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_295775]) ).
tff(c_295785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_295783]) ).
tff(c_295787,plain,
op(e0,op(e0,e3)) = e3,
inference(splitRight,[status(thm)],[c_295278]) ).
tff(c_296167,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_296166,c_295787]) ).
tff(c_295798,plain,
op(e3,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_295794,c_198]) ).
tff(c_296183,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_296167,c_295798]) ).
tff(c_296216,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_296183,c_279728]) ).
tff(c_296218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_296216]) ).
tff(c_296219,plain,
( ( op(e2,e3) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_296165]) ).
tff(c_296229,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_296219]) ).
tff(c_296231,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_296229,c_291380]) ).
tff(c_296245,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_296231,c_294889]) ).
tff(c_296258,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_296245,c_295787]) ).
tff(c_296284,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_296258,c_291426]) ).
tff(c_296292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296149,c_296284]) ).
tff(c_296293,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_296219]) ).
tff(c_296300,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_296293,c_256]) ).
tff(c_296424,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_164529,c_296300,c_279931,c_295801,c_30]) ).
tff(c_296220,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_296165]) ).
tff(c_296317,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_296318,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279732,c_296317]) ).
tff(c_296319,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_296318]) ).
tff(c_296324,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_296319,c_277821]) ).
tff(c_296333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296220,c_296324]) ).
tff(c_296334,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_296318]) ).
tff(c_296338,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_296334]) ).
tff(c_296340,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_296338,c_291426]) ).
tff(c_296349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296149,c_296340]) ).
tff(c_296350,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_296334]) ).
tff(c_296353,plain,
op(op(e2,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_296350,c_196]) ).
tff(c_296425,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_296424,c_296353]) ).
tff(c_296440,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_296425,c_291380]) ).
tff(c_296448,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_296440]) ).
tff(c_296450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_296448]) ).
tff(c_296451,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_295793]) ).
tff(c_296459,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_296451,c_360]) ).
tff(c_296815,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_296459,c_46]) ).
tff(c_296816,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_296815]) ).
tff(c_296820,plain,
op(e1,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_296816,c_180]) ).
tff(c_297099,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_297098,c_296820]) ).
tff(c_297108,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_297099]) ).
tff(c_297110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_297108]) ).
tff(c_297111,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_297097]) ).
tff(c_297113,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_297111]) ).
tff(c_297115,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_297113,c_296820]) ).
tff(c_297124,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_294886,c_297115]) ).
tff(c_297126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_297124]) ).
tff(c_297127,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_297111]) ).
tff(c_297744,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_297127,c_279928,c_94]) ).
tff(c_297745,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_279664,c_297744]) ).
tff(c_297746,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_297745]) ).
tff(c_296455,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_296451,c_178]) ).
tff(c_297750,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_297746,c_296455]) ).
tff(c_297609,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_297127,c_279928,c_94]) ).
tff(c_297610,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_279664,c_297609]) ).
tff(c_297611,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_297610]) ).
tff(c_297615,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_297611,c_296455]) ).
tff(c_296819,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_296816,c_196]) ).
tff(c_297132,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_297127,c_296819]) ).
tff(c_297160,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_297132,c_362]) ).
tff(c_297526,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_297160,c_291388,c_291431,c_279781,c_8]) ).
tff(c_297529,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297526,c_294889]) ).
tff(c_297542,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_297529,c_295787]) ).
tff(c_297578,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_297542,c_291425]) ).
tff(c_297368,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_297127,c_279928,c_94]) ).
tff(c_297369,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_279664,c_297368]) ).
tff(c_297370,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_297369]) ).
tff(c_296454,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_296451,c_186]) ).
tff(c_297373,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_297370,c_296454]) ).
tff(c_297399,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_297373,c_291380]) ).
tff(c_297411,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297399,c_294889]) ).
tff(c_297436,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_297411,c_295787]) ).
tff(c_297374,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_297370,c_296455]) ).
tff(c_297489,plain,
( ( e4 = e1 )
| ( e2 = e1 )
| ( op(e2,e4) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_297436,c_294886,c_297374,c_279666,c_64]) ).
tff(c_297490,plain,
op(e2,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_410,c_420,c_412,c_408,c_297489]) ).
tff(c_297131,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_297127,c_296820]) ).
tff(c_297006,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_291388,c_291431,c_279781,c_8]) ).
tff(c_297007,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_297006]) ).
tff(c_297009,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297007,c_294889]) ).
tff(c_297017,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_297009]) ).
tff(c_297019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_297017]) ).
tff(c_297020,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_297006]) ).
tff(c_297024,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297020,c_294889]) ).
tff(c_297038,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_297024,c_295787]) ).
tff(c_296743,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_296744,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_296743]) ).
tff(c_296745,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_296744]) ).
tff(c_296749,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_296745,c_277821]) ).
tff(c_294896,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_294886,c_312]) ).
tff(c_296477,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_84]) ).
tff(c_296478,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_410,c_296477]) ).
tff(c_296479,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_296478]) ).
tff(c_296484,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_296479,c_334]) ).
tff(c_296480,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_296479,c_295787]) ).
tff(c_296555,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_296480,c_291381,c_112]) ).
tff(c_296556,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_408,c_279781,c_296555]) ).
tff(c_296557,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_296556]) ).
tff(c_296559,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_296557,c_296454]) ).
tff(c_296569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296484,c_296559]) ).
tff(c_296570,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_296556]) ).
tff(c_279936,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_246]) ).
tff(c_80,plain,
( ( op(e4,e3) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_296533,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_296479,c_279728,c_80]) ).
tff(c_296534,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_279936,c_406,c_291433,c_296533]) ).
tff(c_296536,plain,
op(op(e3,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_296534,c_184]) ).
tff(c_296573,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_296570,c_296536]) ).
tff(c_296601,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_296573,c_295279]) ).
tff(c_296609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291431,c_296601]) ).
tff(c_296610,plain,
( ( op(e2,e3) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_296478]) ).
tff(c_296612,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_296610]) ).
tff(c_296614,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_296612,c_291380]) ).
tff(c_295786,plain,
( ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e0) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 )
| ( op(e4,op(e4,e1)) != e1 ) ),
inference(splitRight,[status(thm)],[c_295278]) ).
tff(c_296471,plain,
( ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,e3) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e0) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 )
| ( op(e4,op(e4,e1)) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_296451,c_295786]) ).
tff(c_296472,plain,
op(e4,op(e4,e1)) != e1,
inference(splitLeft,[status(thm)],[c_296471]) ).
tff(c_296628,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_296614,c_296472]) ).
tff(c_296640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_296612,c_296628]) ).
tff(c_296641,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_296610]) ).
tff(c_296649,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_296641,c_242]) ).
tff(c_296648,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_296641,c_256]) ).
tff(c_296667,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_296648,c_279931,c_30]) ).
tff(c_296668,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_296667]) ).
tff(c_296674,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_296668,c_254]) ).
tff(c_296694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_294896,c_296649,c_279933,c_296674,c_279664,c_22]) ).
tff(c_296695,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_296667]) ).
tff(c_296699,plain,
op(op(e0,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_296695,c_180]) ).
tff(c_296763,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_296749,c_296699]) ).
tff(c_296772,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_294886,c_296763]) ).
tff(c_296774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_296772]) ).
tff(c_296775,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_296744]) ).
tff(c_296777,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_296775]) ).
tff(c_296780,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_296777,c_291426]) ).
tff(c_296787,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_296780]) ).
tff(c_296789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_296787]) ).
tff(c_296790,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_296775]) ).
tff(c_296793,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_296790,c_295787]) ).
tff(c_296804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296459,c_296793]) ).
tff(c_296805,plain,
( ( op(e4,e2) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,e0) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e3) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_296471]) ).
tff(c_296848,plain,
op(e0,op(e0,e4)) != e4,
inference(splitLeft,[status(thm)],[c_296805]) ).
tff(c_297063,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_297038,c_296848]) ).
tff(c_297074,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297024,c_297063]) ).
tff(c_297075,plain,
( ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,e3) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e0) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 ) ),
inference(splitRight,[status(thm)],[c_296805]) ).
tff(c_297171,plain,
( ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,e0) != e4 )
| ( op(e2,e3) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,e0) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_297132,c_297127,c_296451,c_297131,c_297131,c_297075]) ).
tff(c_297172,plain,
op(e4,e2) != e0,
inference(splitLeft,[status(thm)],[c_297171]) ).
tff(c_297331,plain,
( ( e4 = e0 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_296451,c_297131,c_294886,c_114]) ).
tff(c_297332,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_404,c_414,c_297331]) ).
tff(c_296818,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_296816,c_294872]) ).
tff(c_296834,plain,
op(op(e1,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_296818,c_198]) ).
tff(c_297333,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_297332,c_296834]) ).
tff(c_297340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_297172,c_297333]) ).
tff(c_297342,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_297171]) ).
tff(c_297346,plain,
op(op(e2,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297342,c_156]) ).
tff(c_297492,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297490,c_297346]) ).
tff(c_297341,plain,
( ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e0) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,e3) != e0 )
| ( op(e1,e0) != e4 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(splitRight,[status(thm)],[c_297171]) ).
tff(c_297359,plain,
op(e1,op(e1,e0)) != e0,
inference(splitLeft,[status(thm)],[c_297341]) ).
tff(c_297502,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_297492,c_297359]) ).
tff(c_297511,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_294886,c_297502]) ).
tff(c_297512,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_297369]) ).
tff(c_297589,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_297578,c_297512]) ).
tff(c_297591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_297589]) ).
tff(c_297592,plain,
( ( op(e1,e0) != e4 )
| ( op(e2,e3) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,e0) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_297341]) ).
tff(c_297606,plain,
op(e3,op(e3,e4)) != e4,
inference(splitLeft,[status(thm)],[c_297592]) ).
tff(c_297639,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_297615,c_297606]) ).
tff(c_297614,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_297611,c_296454]) ).
tff(c_297627,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_297614,c_291380]) ).
tff(c_297653,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297627,c_294889]) ).
tff(c_297665,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_297653,c_295787]) ).
tff(c_297689,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297665,c_291426]) ).
tff(c_297695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_297639,c_297689]) ).
tff(c_297696,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_297610]) ).
tff(c_297705,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_297696,c_338]) ).
tff(c_297135,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_297127,c_254]) ).
tff(c_297720,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( e3 = e0 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_294886,c_279666,c_56]) ).
tff(c_297721,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_297135,c_279733,c_402,c_297720]) ).
tff(c_297076,plain,
op(e0,op(e0,e4)) = e4,
inference(splitRight,[status(thm)],[c_296805]) ).
tff(c_297722,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297721,c_297076]) ).
tff(c_297733,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_297705,c_297722]) ).
tff(c_297735,plain,
op(e3,op(e3,e4)) = e4,
inference(splitRight,[status(thm)],[c_297592]) ).
tff(c_297760,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297750,c_297735]) ).
tff(c_297749,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_297746,c_296454]) ).
tff(c_297776,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_297749,c_291380]) ).
tff(c_297789,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_297776,c_294887]) ).
tff(c_297734,plain,
( ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e0) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,e3) != e0 )
| ( op(e1,e0) != e4 ) ),
inference(splitRight,[status(thm)],[c_297592]) ).
tff(c_297798,plain,
( ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e0) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e4) != e1 )
| ( op(e2,e3) != e0 )
| ( op(e1,e0) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_297746,c_297734]) ).
tff(c_297799,plain,
op(e1,e0) != e4,
inference(splitLeft,[status(thm)],[c_297798]) ).
tff(c_297897,plain,
( ( e4 = e0 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_296451,c_297131,c_294886,c_114]) ).
tff(c_297898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_297799,c_408,c_402,c_404,c_414,c_297897]) ).
tff(c_297900,plain,
op(e1,e0) = e4,
inference(splitRight,[status(thm)],[c_297798]) ).
tff(c_296833,plain,
op(e2,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_296818,c_190]) ).
tff(c_297925,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_297900,c_296833]) ).
tff(c_297788,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_297776,c_294889]) ).
tff(c_297914,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_297788,c_295787]) ).
tff(c_297939,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_297914,c_291425]) ).
tff(c_297899,plain,
( ( op(e2,e3) != e0 )
| ( op(e2,e4) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,e0) != e1 )
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_297798]) ).
tff(c_297990,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297750,c_297760,c_297789,c_297132,c_297789,c_297746,c_297925,c_297127,c_297939,c_297925,c_297939,c_297899]) ).
tff(c_297991,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_297745]) ).
tff(c_298000,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_297991,c_338]) ).
tff(c_298015,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_297160,c_291388,c_291431,c_279781,c_8]) ).
tff(c_298018,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_298015,c_294889]) ).
tff(c_298026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_298000,c_298018]) ).
tff(c_298027,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_296815]) ).
tff(c_298030,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_298027,c_294872]) ).
tff(c_298046,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_298030,c_291426]) ).
tff(c_298053,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_298046]) ).
tff(c_298055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_298053]) ).
tff(c_298056,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_294885]) ).
tff(c_298058,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_298056]) ).
tff(c_298063,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_298058,c_320]) ).
tff(c_298680,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_298063,c_279670,c_42]) ).
tff(c_298681,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_298680]) ).
tff(c_298683,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_298681,c_291425]) ).
tff(c_298519,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_116]) ).
tff(c_298520,plain,
( ( op(e4,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279731,c_298519]) ).
tff(c_298521,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_298520]) ).
tff(c_298611,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_298521,c_277821]) ).
tff(c_298522,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_279732,c_44]) ).
tff(c_298523,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_298522]) ).
tff(c_298545,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_298523,c_282]) ).
tff(c_298592,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_50476,c_298545,c_298063,c_279670,c_42]) ).
tff(c_298596,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_298592,c_291426]) ).
tff(c_298601,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_298596]) ).
tff(c_298603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_298601]) ).
tff(c_298605,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_298522]) ).
tff(c_298639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_298611,c_298605]) ).
tff(c_298640,plain,
( ( op(e2,e1) = e3 )
| ( op(e4,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_298520]) ).
tff(c_298642,plain,
op(e4,e1) = e3,
inference(splitLeft,[status(thm)],[c_298640]) ).
tff(c_298062,plain,
op(e3,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_298058,c_158]) ).
tff(c_298644,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_298642,c_298062]) ).
tff(c_298653,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_298644]) ).
tff(c_298655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_298653]) ).
tff(c_298656,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_298640]) ).
tff(c_298696,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_298683,c_298656]) ).
tff(c_298698,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_298696]) ).
tff(c_298699,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_298680]) ).
tff(c_298703,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_298699,c_291426]) ).
tff(c_298711,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_298703]) ).
tff(c_298713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_298711]) ).
tff(c_298714,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_298056]) ).
tff(c_298725,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_298714,c_310]) ).
tff(c_299755,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( e2 = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_298714,c_279666,c_64]) ).
tff(c_299756,plain,
( ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_408,c_299755]) ).
tff(c_299757,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_299756]) ).
tff(c_301086,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_298714,c_279666,c_56]) ).
tff(c_301087,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_406,c_279733,c_402,c_301086]) ).
tff(c_300504,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_279931,c_30]) ).
tff(c_300505,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_300504]) ).
tff(c_299759,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_291425]) ).
tff(c_299760,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_291426]) ).
tff(c_299868,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299760,c_279928,c_96]) ).
tff(c_299869,plain,
( ( op(e4,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_279729,c_299868]) ).
tff(c_299870,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_299869]) ).
tff(c_299880,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_299870,c_292]) ).
tff(c_299917,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_299759,c_116]) ).
tff(c_299918,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_299880,c_410,c_416,c_279731,c_299917]) ).
tff(c_299763,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_284]) ).
tff(c_299779,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_299760,c_360]) ).
tff(c_299801,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_130110,c_299763,c_279932,c_299779,c_46]) ).
tff(c_299804,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_299801,c_294872]) ).
tff(c_299035,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( e2 = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_298714,c_279666,c_64]) ).
tff(c_299036,plain,
( ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_408,c_299035]) ).
tff(c_299037,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_299036]) ).
tff(c_299040,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_299037,c_291426]) ).
tff(c_299107,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299040,c_279928,c_96]) ).
tff(c_299108,plain,
( ( op(e4,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_279729,c_299107]) ).
tff(c_299109,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_299108]) ).
tff(c_299071,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_299040,c_278]) ).
tff(c_299082,plain,
( ( e4 = e2 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_291424,c_132]) ).
tff(c_299083,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_299071,c_404,c_299082]) ).
tff(c_299084,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_299083]) ).
tff(c_299088,plain,
op(op(e0,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_299084,c_180]) ).
tff(c_299110,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_299109,c_299088]) ).
tff(c_299121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_298725,c_299110]) ).
tff(c_299122,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_299108]) ).
tff(c_299129,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_299122,c_212]) ).
tff(c_299039,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_299037,c_291425]) ).
tff(c_299149,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_299039,c_116]) ).
tff(c_299150,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_279731,c_299129,c_299149]) ).
tff(c_299155,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_299150,c_277821]) ).
tff(c_298720,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_298714,c_320]) ).
tff(c_298759,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_279732,c_44]) ).
tff(c_298760,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_298759]) ).
tff(c_298766,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_298760,c_286]) ).
tff(c_298839,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_298766,c_279932,c_46]) ).
tff(c_298840,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_298839]) ).
tff(c_298842,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_298840,c_294872]) ).
tff(c_298851,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_298760,c_298842]) ).
tff(c_298853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_298851]) ).
tff(c_298854,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_298839]) ).
tff(c_298857,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_298854,c_294872]) ).
tff(c_298867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_298720,c_298857]) ).
tff(c_298868,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_298759]) ).
tff(c_298880,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_298868]) ).
tff(c_298886,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_298880,c_338]) ).
tff(c_298907,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_291388,c_291431,c_279781,c_8]) ).
tff(c_298908,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_298907]) ).
tff(c_298717,plain,
op(op(e4,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_298714,c_182]) ).
tff(c_298909,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_298908,c_298717]) ).
tff(c_298928,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_298909,c_354]) ).
tff(c_298978,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_298908,c_279666,c_66]) ).
tff(c_298979,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_420,c_298928,c_408,c_298978]) ).
tff(c_298982,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_298979,c_291380]) ).
tff(c_298989,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_298908,c_298982]) ).
tff(c_298991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_298989]) ).
tff(c_298992,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_298907]) ).
tff(c_298719,plain,
op(e2,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_298714,c_158]) ).
tff(c_298995,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_298992,c_298719]) ).
tff(c_299005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_298886,c_298995]) ).
tff(c_299006,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_298868]) ).
tff(c_299165,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_299155,c_299006]) ).
tff(c_299167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_299165]) ).
tff(c_299168,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_299083]) ).
tff(c_299010,plain,
op(op(e3,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_299006,c_194]) ).
tff(c_299171,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_299168,c_299010]) ).
tff(c_298732,plain,
( ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_298714,c_294871]) ).
tff(c_298733,plain,
op(e4,op(e4,e2)) != e2,
inference(splitLeft,[status(thm)],[c_298732]) ).
tff(c_299199,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_299171,c_298733]) ).
tff(c_299208,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_299199]) ).
tff(c_299210,plain,
op(e0,e4) != e1,
inference(splitRight,[status(thm)],[c_299036]) ).
tff(c_299017,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_299006,c_290]) ).
tff(c_299675,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_46]) ).
tff(c_299676,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_299675]) ).
tff(c_299677,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_299676,c_294872]) ).
tff(c_299688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_299017,c_299677]) ).
tff(c_299689,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_299675]) ).
tff(c_299699,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_299689]) ).
tff(c_299701,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_299699,c_294872]) ).
tff(c_299712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_298720,c_299701]) ).
tff(c_299713,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_299689]) ).
tff(c_299724,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_299713,c_284]) ).
tff(c_299740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50476,c_299210,c_298720,c_299724,c_279670,c_42]) ).
tff(c_299741,plain,
( ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,e2) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,e2) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(splitRight,[status(thm)],[c_298732]) ).
tff(c_299772,plain,
( ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,e2) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,e2) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,e1) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_299741]) ).
tff(c_299773,plain,
op(e0,op(e0,e3)) != e3,
inference(splitLeft,[status(thm)],[c_299772]) ).
tff(c_299817,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_299804,c_299773]) ).
tff(c_299829,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_299801,c_299817]) ).
tff(c_299830,plain,
( ( op(e0,e1) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 )
| ( op(e4,op(e4,e1)) != e1 ) ),
inference(splitRight,[status(thm)],[c_299772]) ).
tff(c_299862,plain,
( ( op(e0,e1) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,e0) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 )
| ( op(e4,op(e4,e1)) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299759,c_299760,c_298714,c_299760,c_299830]) ).
tff(c_299863,plain,
op(e4,op(e4,e1)) != e1,
inference(splitLeft,[status(thm)],[c_299862]) ).
tff(c_299919,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_299918,c_299863]) ).
tff(c_300055,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_298714,c_279666,c_56]) ).
tff(c_300056,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_406,c_279733,c_402,c_300055]) ).
tff(c_300062,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_300056,c_254]) ).
tff(c_299968,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_299760,c_298714,c_130]) ).
tff(c_299969,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_414,c_418,c_299968]) ).
tff(c_299974,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_299969,c_328]) ).
tff(c_299996,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_299918,c_279666,c_70]) ).
tff(c_299997,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_416,c_299974,c_414,c_299996]) ).
tff(c_300001,plain,
op(op(e2,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_299997,c_156]) ).
tff(c_300058,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_300056,c_300001]) ).
tff(c_300102,plain,
( ( e3 = e2 )
| ( e4 = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_300058,c_291424,c_136]) ).
tff(c_300103,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_300062,c_402,c_406,c_300102]) ).
tff(c_299873,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_299870,c_294872]) ).
tff(c_299894,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_299873,c_290]) ).
tff(c_300021,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_233155,c_291389,c_299894,c_299880,c_48]) ).
tff(c_300025,plain,
op(e4,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_300021,c_190]) ).
tff(c_300105,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_300103,c_300025]) ).
tff(c_300112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_299919,c_300105]) ).
tff(c_300113,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_299869]) ).
tff(c_299742,plain,
op(e4,op(e4,e2)) = e2,
inference(splitRight,[status(thm)],[c_298732]) ).
tff(c_300115,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_300113,c_299742]) ).
tff(c_300125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291433,c_300115]) ).
tff(c_300126,plain,
( ( op(e4,e2) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e0) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,e1) != e4 ) ),
inference(splitRight,[status(thm)],[c_299862]) ).
tff(c_300134,plain,
op(e0,e1) != e4,
inference(splitLeft,[status(thm)],[c_300126]) ).
tff(c_299762,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_282]) ).
tff(c_300185,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_299757,c_138]) ).
tff(c_300186,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279732,c_410,c_300185]) ).
tff(c_300187,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_300186]) ).
tff(c_300192,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_300187,c_277821]) ).
tff(c_300200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_299762,c_300192]) ).
tff(c_300201,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_300186]) ).
tff(c_300207,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_300201,c_294872]) ).
tff(c_300477,plain,
( ( e4 = e1 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_300201,c_300207,c_299757,c_134]) ).
tff(c_300478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_300134,c_402,c_404,c_408,c_300477]) ).
tff(c_300479,plain,
( ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,e0) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 ) ),
inference(splitRight,[status(thm)],[c_300126]) ).
tff(c_300519,plain,
( ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,e2) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_300505,c_299759,c_300505,c_300479]) ).
tff(c_300520,plain,
op(e4,e2) != e0,
inference(splitLeft,[status(thm)],[c_300519]) ).
tff(c_300480,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_300126]) ).
tff(c_300653,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e4 = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_300480,c_299757,c_138]) ).
tff(c_300654,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_279732,c_410,c_300653]) ).
tff(c_300659,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_300654,c_294872]) ).
tff(c_300490,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_300480,c_376]) ).
tff(c_299843,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_299759,c_364]) ).
tff(c_300529,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_299843,c_291388,c_291431,c_279781,c_8]) ).
tff(c_300533,plain,
op(e3,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_300529,c_298717]) ).
tff(c_300596,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_300533,c_279728,c_74]) ).
tff(c_300597,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_300490,c_408,c_402,c_279668,c_300596]) ).
tff(c_300601,plain,
op(e4,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_300597,c_194]) ).
tff(c_300668,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_300659,c_300601]) ).
tff(c_300677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_300520,c_300668]) ).
tff(c_300679,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_300519]) ).
tff(c_300681,plain,
op(op(e2,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_300679,c_156]) ).
tff(c_301088,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_301087,c_300681]) ).
tff(c_301158,plain,
( ( e3 = e2 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_300505,c_301088,c_291424,c_136]) ).
tff(c_301159,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_402,c_406,c_301158]) ).
tff(c_300483,plain,
op(op(e1,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_300480,c_198]) ).
tff(c_301161,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_301159,c_300483]) ).
tff(c_299842,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_299759,c_250]) ).
tff(c_300684,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_300679,c_206]) ).
tff(c_300943,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_88]) ).
tff(c_300944,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_252838,c_299842,c_416,c_300684,c_300943]) ).
tff(c_300711,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_88]) ).
tff(c_300712,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_252838,c_299842,c_416,c_300684,c_300711]) ).
tff(c_300737,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_298714,c_279666,c_56]) ).
tff(c_300738,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_406,c_279733,c_402,c_300737]) ).
tff(c_300898,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_298714,c_300738,c_279666,c_68]) ).
tff(c_300899,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_418,c_416,c_414,c_300898]) ).
tff(c_300511,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_300505,c_256]) ).
tff(c_300682,plain,
op(e0,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_300679,c_172]) ).
tff(c_300740,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_300738,c_300682]) ).
tff(c_300812,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_300740,c_300712,c_279728,c_84]) ).
tff(c_300813,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_420,c_300511,c_410,c_300812]) ).
tff(c_300818,plain,
op(e1,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_300813,c_162]) ).
tff(c_300900,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_300899,c_300818]) ).
tff(c_300678,plain,
( ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(splitRight,[status(thm)],[c_300519]) ).
tff(c_300698,plain,
op(e1,op(e1,e0)) != e0,
inference(splitLeft,[status(thm)],[c_300678]) ).
tff(c_300911,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_300900,c_300698]) ).
tff(c_300920,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_300712,c_300911]) ).
tff(c_300921,plain,
( ( op(e1,op(e1,e3)) != e3 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_300678]) ).
tff(c_300959,plain,
( ( op(e1,e0) != e3 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_300944,c_300921]) ).
tff(c_300960,plain,
op(e3,op(e3,e4)) != e4,
inference(splitLeft,[status(thm)],[c_300959]) ).
tff(c_301175,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_301161,c_300960]) ).
tff(c_301184,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_301088,c_301175]) ).
tff(c_301185,plain,
( ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e1,e0) != e3 ) ),
inference(splitRight,[status(thm)],[c_300959]) ).
tff(c_301201,plain,
op(e1,e0) != e3,
inference(splitLeft,[status(thm)],[c_301185]) ).
tff(c_301274,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_299843,c_291388,c_291431,c_279781,c_8]) ).
tff(c_300127,plain,
op(e4,op(e4,e1)) = e1,
inference(splitRight,[status(thm)],[c_299862]) ).
tff(c_301275,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_301274,c_300127]) ).
tff(c_299841,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_299759,c_248]) ).
tff(c_301202,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_298714,c_279666,c_68]) ).
tff(c_301203,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_418,c_299841,c_414,c_301202]) ).
tff(c_301208,plain,
op(op(e4,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301203,c_162]) ).
tff(c_301289,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301275,c_301208]) ).
tff(c_301299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_301201,c_301289]) ).
tff(c_301301,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_301185]) ).
tff(c_300482,plain,
op(e4,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_300480,c_190]) ).
tff(c_301304,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_301301,c_300482]) ).
tff(c_301332,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301304,c_291380]) ).
tff(c_301344,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_301332,c_298719]) ).
tff(c_301345,plain,
op(e3,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_301332,c_298717]) ).
tff(c_301303,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_301301,c_300483]) ).
tff(c_301186,plain,
op(e3,op(e3,e4)) = e4,
inference(splitRight,[status(thm)],[c_300959]) ).
tff(c_301315,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_301303,c_301186]) ).
tff(c_301300,plain,
( ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_301185]) ).
tff(c_301406,plain,
( ( op(e2,e4) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,e1) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_301345,c_301303,c_301315,c_301344,c_301300]) ).
tff(c_301407,plain,
op(e3,e1) != e2,
inference(splitLeft,[status(thm)],[c_301406]) ).
tff(c_301414,plain,
( ( e2 = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e4 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_300480,c_299757,c_142]) ).
tff(c_301415,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_279932,c_412,c_301414]) ).
tff(c_299831,plain,
op(e0,op(e0,e3)) = e3,
inference(splitRight,[status(thm)],[c_299772]) ).
tff(c_301419,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301415,c_299831]) ).
tff(c_300507,plain,
op(op(e0,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_300505,c_180]) ).
tff(c_301430,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_301419,c_300507]) ).
tff(c_301438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_301407,c_301430]) ).
tff(c_301440,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_301406]) ).
tff(c_300948,plain,
op(e0,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_300944,c_168]) ).
tff(c_301441,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301440,c_300948]) ).
tff(c_301456,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_301441,c_294872]) ).
tff(c_301369,plain,
op(op(e0,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301315,c_170]) ).
tff(c_301467,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301456,c_301369]) ).
tff(c_301439,plain,
( ( op(e3,op(e3,e1)) != e1 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,e4) != e3 ) ),
inference(splitRight,[status(thm)],[c_301406]) ).
tff(c_301480,plain,
( ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,e4) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_301345,c_301440,c_301439]) ).
tff(c_301481,plain,
op(e2,e4) != e3,
inference(splitLeft,[status(thm)],[c_301480]) ).
tff(c_301482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_301481,c_301467]) ).
tff(c_301483,plain,
op(e2,op(e2,e4)) != e4,
inference(splitRight,[status(thm)],[c_301480]) ).
tff(c_301499,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_301344,c_301467,c_301483]) ).
tff(c_301500,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_300504]) ).
tff(c_301502,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_301500]) ).
tff(c_301509,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_301502,c_256]) ).
tff(c_301527,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_300480,c_291381,c_299759,c_116]) ).
tff(c_301528,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_410,c_416,c_279731,c_301527]) ).
tff(c_301531,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_301528,c_298719]) ).
tff(c_301540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_301509,c_301531]) ).
tff(c_301541,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_301500]) ).
tff(c_301550,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_301541,c_392]) ).
tff(c_301654,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_299757,c_298714,c_279666,c_68]) ).
tff(c_301655,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_418,c_299841,c_414,c_301654]) ).
tff(c_301595,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_300480,c_291381,c_299759,c_116]) ).
tff(c_301596,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_410,c_416,c_279731,c_301595]) ).
tff(c_301597,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_301596,c_300127]) ).
tff(c_301615,plain,
op(e1,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301597,c_162]) ).
tff(c_301656,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301655,c_301615]) ).
tff(c_301665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_301550,c_301656]) ).
tff(c_301666,plain,
( ( op(e2,e4) = e1 )
| ( op(e3,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_299756]) ).
tff(c_301668,plain,
op(e3,e4) = e1,
inference(splitLeft,[status(thm)],[c_301666]) ).
tff(c_301676,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_301668,c_234]) ).
tff(c_301667,plain,
op(e0,e4) != e1,
inference(splitRight,[status(thm)],[c_299756]) ).
tff(c_301677,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_301668,c_306]) ).
tff(c_301717,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_291389,c_48]) ).
tff(c_301718,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_301717]) ).
tff(c_301691,plain,
( ( e4 = e2 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_291424,c_132]) ).
tff(c_301692,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_301691]) ).
tff(c_301693,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_301692]) ).
tff(c_301698,plain,
op(op(e0,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_301693,c_190]) ).
tff(c_301720,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_301718,c_301698]) ).
tff(c_301732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_301677,c_301720]) ).
tff(c_301733,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_301717]) ).
tff(c_301735,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_301733]) ).
tff(c_301740,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_301735,c_277821]) ).
tff(c_301750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_301667,c_301740]) ).
tff(c_301751,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_301733]) ).
tff(c_301699,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_301693,c_198]) ).
tff(c_301755,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_301751,c_301699]) ).
tff(c_301775,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_301755,c_291380]) ).
tff(c_301785,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_291424,c_301775]) ).
tff(c_301787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_301785]) ).
tff(c_301788,plain,
( ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_301692]) ).
tff(c_301790,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_301788]) ).
tff(c_301797,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_301790,c_238]) ).
tff(c_301981,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_50476,c_301667,c_298720,c_279670,c_42]) ).
tff(c_301985,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_301981,c_291426]) ).
tff(c_301993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_301797,c_301985]) ).
tff(c_301995,plain,
op(e3,e0) != e4,
inference(splitRight,[status(thm)],[c_301788]) ).
tff(c_302019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252828,c_301676,c_291434,c_279730,c_301995,c_20]) ).
tff(c_302020,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_301666]) ).
tff(c_302590,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_302591,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279732,c_302590]) ).
tff(c_302592,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_302591]) ).
tff(c_302596,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_302592,c_277821]) ).
tff(c_302687,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_302592,c_302596,c_142]) ).
tff(c_302688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_406,c_279932,c_412,c_298720,c_302687]) ).
tff(c_302689,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_302591]) ).
tff(c_302691,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_302689]) ).
tff(c_302698,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_302691,c_284]) ).
tff(c_298722,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_298714,c_262]) ).
tff(c_302694,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_302691,c_291425]) ).
tff(c_302802,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_302694,c_279728,c_80]) ).
tff(c_302803,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_298722,c_418,c_406,c_291433,c_302802]) ).
tff(c_302025,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_302020,c_254]) ).
tff(c_302045,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_120]) ).
tff(c_302046,plain,
( ( op(e3,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_279934,c_291431,c_302045]) ).
tff(c_302047,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_302046]) ).
tff(c_302059,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_302047,c_376]) ).
tff(c_302052,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_302047,c_255420]) ).
tff(c_291383,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_372]) ).
tff(c_302079,plain,
( ( e4 = e1 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_302020,c_94]) ).
tff(c_302080,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_302079]) ).
tff(c_302081,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_302080]) ).
tff(c_302086,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_302081,c_260]) ).
tff(c_302260,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_302052,c_291383,c_279934,c_302086,c_28]) ).
tff(c_302051,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_302047,c_277821]) ).
tff(c_302124,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_302051,c_279928,c_96]) ).
tff(c_302125,plain,
( ( op(e4,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_406,c_279729,c_302124]) ).
tff(c_302126,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_302125]) ).
tff(c_302127,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_302126,c_186]) ).
tff(c_302261,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_302260,c_302127]) ).
tff(c_302272,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_302261,c_279728]) ).
tff(c_302274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_302272]) ).
tff(c_302275,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_302125]) ).
tff(c_302023,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302020,c_172]) ).
tff(c_302280,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302275,c_302023]) ).
tff(c_302288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_302059,c_302280]) ).
tff(c_302290,plain,
op(e2,e0) != e4,
inference(splitRight,[status(thm)],[c_302080]) ).
tff(c_302461,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_164529,c_302025,c_279931,c_302290,c_30]) ).
tff(c_302066,plain,
op(e1,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302051,c_180]) ).
tff(c_302462,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302461,c_302066]) ).
tff(c_302472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_298722,c_302462]) ).
tff(c_302474,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_302046]) ).
tff(c_302512,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_46]) ).
tff(c_302513,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_302512]) ).
tff(c_302514,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302513,c_294872]) ).
tff(c_302526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_302474,c_302514]) ).
tff(c_302527,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_302512]) ).
tff(c_302537,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_302527]) ).
tff(c_302539,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302537,c_294872]) ).
tff(c_302551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_298720,c_302539]) ).
tff(c_302552,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_302527]) ).
tff(c_302555,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302552,c_294872]) ).
tff(c_302043,plain,
( ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,e2) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,e1) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,e2) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_302020,c_299741]) ).
tff(c_302044,plain,
op(e0,op(e0,e3)) != e3,
inference(splitLeft,[status(thm)],[c_302043]) ).
tff(c_302573,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_302555,c_302044]) ).
tff(c_302583,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_302552,c_302573]) ).
tff(c_302585,plain,
op(e0,op(e0,e3)) = e3,
inference(splitRight,[status(thm)],[c_302043]) ).
tff(c_302804,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_302803,c_302585]) ).
tff(c_302814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_302698,c_302804]) ).
tff(c_302815,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_302689]) ).
tff(c_302822,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_302815,c_360]) ).
tff(c_302868,plain,
( ( e4 = e2 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_291424,c_132]) ).
tff(c_302869,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_302868]) ).
tff(c_302870,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_302869]) ).
tff(c_302875,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_302870,c_276]) ).
tff(c_302884,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_255416,c_298722,c_279761,c_302875,c_34]) ).
tff(c_302969,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_302870,c_291381,c_302884,c_298714,c_118]) ).
tff(c_302970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_410,c_302822,c_416,c_406,c_302969]) ).
tff(c_302971,plain,
( ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_302869]) ).
tff(c_302973,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_302971]) ).
tff(c_302817,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302815,c_294872]) ).
tff(c_302833,plain,
op(e2,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_302817,c_170]) ).
tff(c_302974,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_302973,c_302833]) ).
tff(c_302984,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_302020,c_302974]) ).
tff(c_302986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_302984]) ).
tff(c_302987,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_302971]) ).
tff(c_302819,plain,
op(e3,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302815,c_180]) ).
tff(c_303004,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_302987,c_302819]) ).
tff(c_303014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_298725,c_303004]) ).
tff(c_303015,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_291423]) ).
tff(c_303017,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_303015]) ).
tff(c_303018,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_303017,c_291380]) ).
tff(c_303024,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_303017,c_210]) ).
tff(c_304789,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_212]) ).
tff(c_306412,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_291388,c_303024,c_304789,c_279781,c_8]) ).
tff(c_303027,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_303017,c_334]) ).
tff(c_304819,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_304820,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_303027,c_304819]) ).
tff(c_304821,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_304820]) ).
tff(c_304825,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_304821,c_277821]) ).
tff(c_305230,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_291388,c_303024,c_304789,c_279781,c_8]) ).
tff(c_305201,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_68]) ).
tff(c_305202,plain,
( ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_414,c_305201]) ).
tff(c_305203,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_305202]) ).
tff(c_305204,plain,
op(op(e4,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_305203,c_182]) ).
tff(c_305231,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_305230,c_305204]) ).
tff(c_305241,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_305231]) ).
tff(c_305243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_305241]) ).
tff(c_305244,plain,
( ( op(e2,e4) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_305202]) ).
tff(c_305246,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_305244]) ).
tff(c_303019,plain,
op(op(e3,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303017,c_154]) ).
tff(c_305247,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_305246,c_303019]) ).
tff(c_305257,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_304825,c_305247]) ).
tff(c_305259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_305257]) ).
tff(c_305260,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_305244]) ).
tff(c_304787,plain,
op(e3,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_172]) ).
tff(c_305262,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_305260,c_304787]) ).
tff(c_304844,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_304825,c_356]) ).
tff(c_303016,plain,
op(e4,e0) != e2,
inference(splitRight,[status(thm)],[c_291423]) ).
tff(c_304794,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_218]) ).
tff(c_305789,plain,
op(e4,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_208865,c_303016,c_304794,c_279784,c_10]) ).
tff(c_304786,plain,
op(op(e2,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_156]) ).
tff(c_305263,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_305260,c_304786]) ).
tff(c_304872,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_291388,c_303024,c_304789,c_279781,c_8]) ).
tff(c_303023,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_303017,c_328]) ).
tff(c_303044,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_218]) ).
tff(c_304293,plain,
op(e4,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_208865,c_303016,c_303044,c_279784,c_10]) ).
tff(c_304298,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_304293,c_384]) ).
tff(c_303090,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_303027,c_279732,c_44]) ).
tff(c_303091,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_303090]) ).
tff(c_303065,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_279935,c_279729,c_16]) ).
tff(c_303066,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_303065]) ).
tff(c_303075,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_303066,c_224]) ).
tff(c_303351,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_68]) ).
tff(c_303352,plain,
( ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_303075,c_414,c_303351]) ).
tff(c_303353,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_303352]) ).
tff(c_303039,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_212]) ).
tff(c_303114,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_291388,c_303024,c_303039,c_279781,c_8]) ).
tff(c_303119,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303114,c_158]) ).
tff(c_303354,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303353,c_303119]) ).
tff(c_303364,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_303354]) ).
tff(c_303366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_303364]) ).
tff(c_303367,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_303352]) ).
tff(c_303036,plain,
op(op(e2,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_156]) ).
tff(c_303371,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303367,c_303036]) ).
tff(c_303379,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_303091,c_303371]) ).
tff(c_303381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_303379]) ).
tff(c_303382,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_303090]) ).
tff(c_303410,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_303382,c_340]) ).
tff(c_303384,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_303385,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279931,c_303016,c_303384]) ).
tff(c_303386,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_303385]) ).
tff(c_303395,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_303386,c_390]) ).
tff(c_303416,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_303386,c_136]) ).
tff(c_303417,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_406,c_279730,c_303044,c_303416]) ).
tff(c_303423,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_303417,c_254]) ).
tff(c_303518,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_279933,c_303423,c_279664,c_22]) ).
tff(c_303519,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_303518]) ).
tff(c_303037,plain,
op(e3,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_172]) ).
tff(c_303521,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_303519,c_303037]) ).
tff(c_303530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_303395,c_303521]) ).
tff(c_303531,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_303518]) ).
tff(c_303535,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303531,c_303036]) ).
tff(c_303543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_303410,c_303535]) ).
tff(c_303544,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_303385]) ).
tff(c_303548,plain,
op(op(e3,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_303382,c_194]) ).
tff(c_303597,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_303544,c_303548]) ).
tff(c_303602,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_303597,c_242]) ).
tff(c_303715,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_303382,c_279728,c_303017,c_88]) ).
tff(c_303716,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_414,c_303602,c_416,c_418,c_303715]) ).
tff(c_303779,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_303382,c_303716,c_279728,c_303017,c_84]) ).
tff(c_303780,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_420,c_410,c_412,c_303779]) ).
tff(c_303067,plain,
op(e0,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_303066,c_174]) ).
tff(c_303783,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_303780,c_303067]) ).
tff(c_303798,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_303783,c_277821]) ).
tff(c_303034,plain,
( ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_291381,c_291379]) ).
tff(c_303035,plain,
op(e0,op(e0,e2)) != e2,
inference(splitLeft,[status(thm)],[c_303034]) ).
tff(c_303821,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_303798,c_303035]) ).
tff(c_303829,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_303783,c_303821]) ).
tff(c_303830,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_303065]) ).
tff(c_303832,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_303830]) ).
tff(c_303841,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_303832,c_232]) ).
tff(c_304225,plain,
op(e4,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_208865,c_303016,c_303044,c_279784,c_10]) ).
tff(c_303875,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_291388,c_303024,c_303039,c_279781,c_8]) ).
tff(c_303956,plain,
( ( e4 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_303875,c_303018,c_303017,c_279666,c_66]) ).
tff(c_303957,plain,
op(e4,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_410,c_412,c_408,c_303956]) ).
tff(c_303847,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_279670,c_42]) ).
tff(c_303848,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_303847]) ).
tff(c_303850,plain,
op(e1,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303848,c_160]) ).
tff(c_303959,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303957,c_303850]) ).
tff(c_303965,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_303959]) ).
tff(c_303967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_303965]) ).
tff(c_303968,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_303847]) ).
tff(c_303978,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_303968]) ).
tff(c_303981,plain,
op(e3,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_303978,c_160]) ).
tff(c_304226,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_304225,c_303981]) ).
tff(c_304235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_303841,c_304226]) ).
tff(c_304236,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_303968]) ).
tff(c_304240,plain,
op(e2,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_304236,c_160]) ).
tff(c_304295,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_304293,c_304240]) ).
tff(c_304328,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_304295,c_260]) ).
tff(c_304364,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_164529,c_304298,c_279931,c_304328,c_30]) ).
tff(c_304262,plain,
( ( e2 = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_304236,c_146]) ).
tff(c_304263,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_291389,c_412,c_304262]) ).
tff(c_304264,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_304263]) ).
tff(c_304269,plain,
op(e1,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_304264,c_180]) ).
tff(c_304367,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_304364,c_304269]) ).
tff(c_304376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_303023,c_304367]) ).
tff(c_304378,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_304263]) ).
tff(c_303040,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_354]) ).
tff(c_303839,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_303832,c_356]) ).
tff(c_304412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130110,c_304378,c_279932,c_303040,c_303839,c_46]) ).
tff(c_304413,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_303830]) ).
tff(c_304422,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_304413,c_356]) ).
tff(c_304438,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_304439,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279932,c_303027,c_304438]) ).
tff(c_304440,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_304439]) ).
tff(c_304444,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_304440,c_277821]) ).
tff(c_304454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_304422,c_304444]) ).
tff(c_304455,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_304439]) ).
tff(c_304770,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_130110,c_304422,c_279932,c_303040,c_46]) ).
tff(c_304774,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_304770,c_303035]) ).
tff(c_304783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_304455,c_304774]) ).
tff(c_304784,plain,
( ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_303034]) ).
tff(c_304854,plain,
( ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,op(e4,e1)) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_303017,c_303018,c_304784]) ).
tff(c_304855,plain,
op(e4,op(e4,e1)) != e1,
inference(splitLeft,[status(thm)],[c_304854]) ).
tff(c_304873,plain,
op(e4,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_304872,c_304855]) ).
tff(c_305174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208865,c_304873,c_303016,c_304794,c_279784,c_10]) ).
tff(c_305175,plain,
( ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(splitRight,[status(thm)],[c_304854]) ).
tff(c_305302,plain,
( ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,e2) != e0 )
| ( op(e2,e0) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,e4) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_305263,c_305260,c_305262,c_305175]) ).
tff(c_305303,plain,
op(e0,e4) != e3,
inference(splitLeft,[status(thm)],[c_305302]) ).
tff(c_305261,plain,
op(e3,e4) != e0,
inference(splitRight,[status(thm)],[c_305244]) ).
tff(c_305284,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_305262,c_234]) ).
tff(c_12,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e2 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_305375,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_305261,c_305284,c_279733,c_279668,c_12]) ).
tff(c_305507,plain,
( ( e4 = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_305260,c_305375,c_279666,c_56]) ).
tff(c_305508,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_305303,c_416,c_410,c_402,c_305507]) ).
tff(c_303020,plain,
op(e2,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_303017,c_162]) ).
tff(c_305379,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_305375,c_303020]) ).
tff(c_305391,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_304821,c_291381,c_112]) ).
tff(c_305392,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_279781,c_305391]) ).
tff(c_305393,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_305392]) ).
tff(c_305406,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_305379,c_305393]) ).
tff(c_305408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_305406]) ).
tff(c_305409,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_305392]) ).
tff(c_305449,plain,
( ( op(e4,e1) = e0 )
| ( e4 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_304821,c_291381,c_305379,c_305409,c_128]) ).
tff(c_305450,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_420,c_416,c_414,c_305449]) ).
tff(c_305456,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_305450,c_158]) ).
tff(c_305509,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_305508,c_305456]) ).
tff(c_305517,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_305262,c_305509]) ).
tff(c_305519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_305517]) ).
tff(c_305521,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_305302]) ).
tff(c_305525,plain,
op(e3,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_305521,c_160]) ).
tff(c_305792,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_305789,c_305525]) ).
tff(c_306006,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_305792,c_232]) ).
tff(c_306293,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_304844,c_279935,c_279729,c_306006,c_16]) ).
tff(c_306227,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( e1 = e0 )
| ( op(e1,e4) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_305521,c_305260,c_279666,c_64]) ).
tff(c_306228,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_410,c_291385,c_420,c_408,c_306227]) ).
tff(c_306232,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_306228,c_303019]) ).
tff(c_306183,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_305261,c_305284,c_279733,c_279668,c_12]) ).
tff(c_306187,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_306183,c_303019]) ).
tff(c_304826,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_304821,c_255420]) ).
tff(c_306005,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_305792,c_366]) ).
tff(c_306139,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_304826,c_291383,c_279934,c_306005,c_28]) ).
tff(c_60,plain,
( ( op(e4,e4) = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_306043,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( e2 = e0 )
| ( op(e1,e4) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_305521,c_305260,c_279666,c_60]) ).
tff(c_306044,plain,
op(e1,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_406,c_418,c_305284,c_404,c_306043]) ).
tff(c_306119,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_305521,c_306044,c_305260,c_279666,c_64]) ).
tff(c_306120,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_410,c_412,c_420,c_408,c_306119]) ).
tff(c_305524,plain,
op(op(e4,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_305521,c_192]) ).
tff(c_305791,plain,
op(e1,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_305789,c_305524]) ).
tff(c_305825,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_305792,c_232]) ).
tff(c_305960,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_304844,c_279935,c_279729,c_305825,c_16]) ).
tff(c_305935,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_305263,c_305791,c_279728,c_303017,c_84]) ).
tff(c_305936,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_420,c_410,c_412,c_305935]) ).
tff(c_305940,plain,
op(e1,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_305936,c_166]) ).
tff(c_305961,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_305960,c_305940]) ).
tff(c_305631,plain,
op(e4,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_208865,c_303016,c_304794,c_279784,c_10]) ).
tff(c_305520,plain,
( ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e0) != e4 )
| ( op(e3,e2) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(splitRight,[status(thm)],[c_305302]) ).
tff(c_305535,plain,
( ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e0) != e4 )
| ( op(e3,e2) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_305263,c_305521,c_305520]) ).
tff(c_305536,plain,
op(e4,op(e4,e0)) != e0,
inference(splitLeft,[status(thm)],[c_305535]) ).
tff(c_305634,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_305631,c_305536]) ).
tff(c_305296,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_305263,c_340]) ).
tff(c_305546,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_114]) ).
tff(c_305547,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_305296,c_279669,c_305546]) ).
tff(c_305548,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_305547]) ).
tff(c_304823,plain,
op(e2,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_304821,c_190]) ).
tff(c_305551,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_305548,c_304823]) ).
tff(c_305559,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_305260,c_305551]) ).
tff(c_305561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_305559]) ).
tff(c_305563,plain,
op(e1,e0) != e4,
inference(splitRight,[status(thm)],[c_305547]) ).
tff(c_305761,plain,
( ( e4 = e1 )
| ( e4 = e2 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_305262,c_305631,c_132]) ).
tff(c_305762,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_305563,c_404,c_408,c_305761]) ).
tff(c_304840,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_304825,c_196]) ).
tff(c_305766,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_305762,c_304840]) ).
tff(c_305773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_305634,c_305766]) ).
tff(c_305774,plain,
( ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,e2) != e0 )
| ( op(e2,e0) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(splitRight,[status(thm)],[c_305535]) ).
tff(c_305804,plain,
op(e1,op(e1,e0)) != e0,
inference(splitLeft,[status(thm)],[c_305774]) ).
tff(c_305973,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_305961,c_305804]) ).
tff(c_305983,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_305791,c_305973]) ).
tff(c_305984,plain,
( ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e0) != e4 )
| ( op(e3,e2) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_305774]) ).
tff(c_306041,plain,
( ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,e0) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e0) != e4 )
| ( op(e3,e2) != e0 )
| ( op(e3,e4) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_305792,c_305791,c_305984]) ).
tff(c_306042,plain,
op(e3,op(e3,e4)) != e4,
inference(splitLeft,[status(thm)],[c_306041]) ).
tff(c_306121,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_306120,c_306042]) ).
tff(c_306130,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_305792,c_306121]) ).
tff(c_306131,plain,
( ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e4) != e1 )
| ( op(e3,e2) != e0 )
| ( op(e2,e0) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,e0) != e3 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_306041]) ).
tff(c_306160,plain,
( ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e4) != e1 )
| ( op(e3,e2) != e0 )
| ( op(e2,e0) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,e0) != e3 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_306139,c_306131]) ).
tff(c_306161,plain,
op(e1,op(e1,e2)) != e2,
inference(splitLeft,[status(thm)],[c_306160]) ).
tff(c_306198,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_306187,c_306161]) ).
tff(c_306215,plain,
( ( e4 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e4) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_305521,c_305260,c_306183,c_279666,c_60]) ).
tff(c_306216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_306198,c_418,c_412,c_404,c_306215]) ).
tff(c_306218,plain,
op(e1,op(e1,e2)) = e2,
inference(splitRight,[status(thm)],[c_306160]) ).
tff(c_306244,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_306232,c_306218]) ).
tff(c_305775,plain,
op(e4,op(e4,e0)) = e0,
inference(splitRight,[status(thm)],[c_305535]) ).
tff(c_305790,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_305789,c_305775]) ).
tff(c_305991,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_305790,c_158]) ).
tff(c_306261,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_306244,c_305991]) ).
tff(c_306217,plain,
( ( op(e1,e0) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,e3) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e0) != e4 )
| ( op(e3,e2) != e0 )
| ( op(e3,e4) != e1 )
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_306160]) ).
tff(c_306289,plain,
( ( op(e1,e0) != e3 )
| ( op(e2,e3) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e3,e2) != e0 )
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_306228,c_306261,c_305260,c_306261,c_306232,c_306244,c_306217]) ).
tff(c_306290,plain,
op(e3,op(e3,e2)) != e2,
inference(splitLeft,[status(thm)],[c_306289]) ).
tff(c_306294,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_306293,c_306290]) ).
tff(c_306303,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_305262,c_306294]) ).
tff(c_306304,plain,
( ( op(e3,e2) != e0 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) != e1 )
| ( op(e1,e0) != e3 ) ),
inference(splitRight,[status(thm)],[c_306289]) ).
tff(c_306310,plain,
op(e1,e0) != e3,
inference(splitLeft,[status(thm)],[c_306304]) ).
tff(c_305266,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_305260,c_242]) ).
tff(c_305293,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_305263,c_338]) ).
tff(c_306342,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_305266,c_279936,c_279792,c_305293,c_24]) ).
tff(c_306315,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_304844,c_279935,c_279729,c_306006,c_16]) ).
tff(c_306320,plain,
op(op(e2,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_306315,c_166]) ).
tff(c_306343,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_306342,c_306320]) ).
tff(c_306350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306310,c_306343]) ).
tff(c_306352,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_306304]) ).
tff(c_304824,plain,
op(op(e1,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_304821,c_198]) ).
tff(c_306356,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_306352,c_304824]) ).
tff(c_306357,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_306352,c_304823]) ).
tff(c_306351,plain,
( ( op(e2,e3) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e3,e2) != e0 ) ),
inference(splitRight,[status(thm)],[c_306304]) ).
tff(c_306387,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_306356,c_306139,c_306357,c_306357,c_306351]) ).
tff(c_306388,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_304820]) ).
tff(c_306428,plain,
( ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,e2) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,e0) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_303017,c_303018,c_306412,c_306388,c_304784]) ).
tff(c_306429,plain,
op(e4,e0) != e1,
inference(splitLeft,[status(thm)],[c_306428]) ).
tff(c_306922,plain,
( ( e4 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_306412,c_303018,c_303017,c_279666,c_66]) ).
tff(c_306923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306429,c_420,c_410,c_412,c_408,c_306922]) ).
tff(c_306925,plain,
op(e4,e0) = e1,
inference(splitRight,[status(thm)],[c_306428]) ).
tff(c_306934,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_306925,c_382]) ).
tff(c_307425,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_279933,c_279664,c_22]) ).
tff(c_307426,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_307425]) ).
tff(c_307428,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_307426,c_304786]) ).
tff(c_307046,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_303017,c_84]) ).
tff(c_307047,plain,
( ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_410,c_412,c_307046]) ).
tff(c_307048,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_307047]) ).
tff(c_306390,plain,
op(op(e4,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_306388,c_192]) ).
tff(c_306927,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_306925,c_306390]) ).
tff(c_306391,plain,
op(e2,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_306388,c_160]) ).
tff(c_306926,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_306925,c_306391]) ).
tff(c_306924,plain,
( ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,e2) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(splitRight,[status(thm)],[c_306428]) ).
tff(c_306966,plain,
( ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e4) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e0) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,e2) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_306927,c_306926,c_306412,c_306925,c_306924]) ).
tff(c_306967,plain,
op(e0,op(e0,e3)) != e3,
inference(splitLeft,[status(thm)],[c_306966]) ).
tff(c_307049,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_307048,c_306967]) ).
tff(c_306389,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_304820]) ).
tff(c_304790,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_303018,c_354]) ).
tff(c_306999,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_304790,c_46]) ).
tff(c_307000,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_306999]) ).
tff(c_304785,plain,
op(e0,op(e0,e2)) = e2,
inference(splitRight,[status(thm)],[c_303034]) ).
tff(c_307001,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_307000,c_304785]) ).
tff(c_307011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306389,c_307001]) ).
tff(c_307012,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_306999]) ).
tff(c_307020,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_307012,c_286]) ).
tff(c_306958,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_306927,c_264]) ).
tff(c_306984,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_306388,c_279666,c_68]) ).
tff(c_306985,plain,
( ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_306958,c_414,c_306984]) ).
tff(c_306986,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_306985]) ).
tff(c_306988,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_306986,c_304786]) ).
tff(c_307029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_307020,c_306988]) ).
tff(c_307030,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_306985]) ).
tff(c_307033,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_307030,c_303019]) ).
tff(c_307089,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e4 = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_307033,c_307048,c_306388,c_138]) ).
tff(c_307090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_307049,c_402,c_410,c_406,c_307089]) ).
tff(c_307092,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_307047]) ).
tff(c_307141,plain,
( ( e3 = e2 )
| ( op(e0,e3) = e3 )
| ( e4 = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_307033,c_306388,c_138]) ).
tff(c_307142,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_279732,c_406,c_307141]) ).
tff(c_307148,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_307142,c_277821]) ).
tff(c_307154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_307092,c_307148]) ).
tff(c_307156,plain,
op(e0,op(e0,e3)) = e3,
inference(splitRight,[status(thm)],[c_306966]) ).
tff(c_307453,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_307428,c_307156]) ).
tff(c_307461,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_306388,c_307453]) ).
tff(c_307463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_307461]) ).
tff(c_307464,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_307425]) ).
tff(c_307466,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_307464]) ).
tff(c_307469,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_307466,c_304786]) ).
tff(c_307476,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_307469]) ).
tff(c_307478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_307476]) ).
tff(c_307479,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_307464]) ).
tff(c_307482,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_307479,c_304787]) ).
tff(c_307501,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_307482,c_240]) ).
tff(c_308046,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_252828,c_306934,c_307501,c_279730,c_20]) ).
tff(c_307989,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_252828,c_306934,c_307501,c_279730,c_20]) ).
tff(c_306956,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_306927,c_350]) ).
tff(c_307483,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_307479,c_304786]) ).
tff(c_307176,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_306934,c_279730,c_20]) ).
tff(c_307177,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_307176]) ).
tff(c_307184,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_307177,c_240]) ).
tff(c_306930,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_306925,c_384]) ).
tff(c_307200,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e4 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_306926,c_279928,c_106]) ).
tff(c_307201,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_306930,c_408,c_412,c_307200]) ).
tff(c_307202,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_307201]) ).
tff(c_307209,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_307202,c_242]) ).
tff(c_307234,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_307209,c_279933,c_279664,c_22]) ).
tff(c_307235,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_307234]) ).
tff(c_307238,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_307235,c_304786]) ).
tff(c_307252,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_307238,c_307156]) ).
tff(c_307261,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_306388,c_307252]) ).
tff(c_307263,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_307261]) ).
tff(c_307264,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_307234]) ).
tff(c_307269,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_307264,c_304786]) ).
tff(c_307275,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_307269]) ).
tff(c_307277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_307275]) ).
tff(c_307278,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_307201]) ).
tff(c_307280,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_307278,c_304787]) ).
tff(c_307289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_307184,c_307280]) ).
tff(c_307290,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_307176]) ).
tff(c_306420,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_306412,c_362]) ).
tff(c_307307,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_306927,c_279928,c_303018,c_104]) ).
tff(c_307308,plain,
( ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_412,c_410,c_307307]) ).
tff(c_307309,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_307308]) ).
tff(c_307310,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_307309,c_304785]) ).
tff(c_307320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_306389,c_307310]) ).
tff(c_307321,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_307308]) ).
tff(c_307405,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_307290,c_307321,c_279728,c_90]) ).
tff(c_307406,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_414,c_306420,c_420,c_416,c_307405]) ).
tff(c_307155,plain,
( ( op(e0,e2) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,e0) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,e4) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_306966]) ).
tff(c_307171,plain,
op(e3,op(e3,e4)) != e4,
inference(splitLeft,[status(thm)],[c_307155]) ).
tff(c_307408,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_307406,c_307171]) ).
tff(c_307418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_307290,c_307408]) ).
tff(c_307419,plain,
( ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e4) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e0) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,e2) != e4 ) ),
inference(splitRight,[status(thm)],[c_307155]) ).
tff(c_307522,plain,
( ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e2) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,e4) != e3 )
| ( op(e1,e0) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,e2) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_307483,c_307479,c_306926,c_307479,c_307482,c_307419]) ).
tff(c_307523,plain,
op(e0,e2) != e4,
inference(splitLeft,[status(thm)],[c_307522]) ).
tff(c_307582,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_306926,c_307482,c_306412,c_116]) ).
tff(c_307583,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_402,c_406,c_416,c_307582]) ).
tff(c_306392,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_306388,c_320]) ).
tff(c_307549,plain,
( ( op(e1,e4) = e2 )
| ( e4 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_306927,c_307483,c_122]) ).
tff(c_307550,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_418,c_404,c_306392,c_307549]) ).
tff(c_307553,plain,
op(op(e0,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_307550,c_190]) ).
tff(c_307585,plain,
op(e3,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_307583,c_307553]) ).
tff(c_307654,plain,
( ( e4 = e3 )
| ( e4 = e1 )
| ( e4 = e2 )
| ( e4 = e0 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_306927,c_279928,c_307585,c_303018,c_92]) ).
tff(c_307655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_307523,c_414,c_404,c_408,c_402,c_307654]) ).
tff(c_307657,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_307522]) ).
tff(c_307663,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_307657,c_356]) ).
tff(c_307943,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_306956,c_279935,c_279729,c_307663,c_16]) ).
tff(c_307486,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_307479,c_242]) ).
tff(c_306946,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_306926,c_250]) ).
tff(c_307904,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_307486,c_279936,c_279792,c_306946,c_24]) ).
tff(c_307879,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_306956,c_279935,c_279729,c_307663,c_16]) ).
tff(c_307883,plain,
op(e1,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_307879,c_174]) ).
tff(c_307906,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_307904,c_307883]) ).
tff(c_307798,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_306956,c_279935,c_279729,c_307663,c_16]) ).
tff(c_307656,plain,
( ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,e0) != e2 )
| ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,e2) != e1 )
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_307522]) ).
tff(c_307672,plain,
op(e3,op(e3,e2)) != e2,
inference(splitLeft,[status(thm)],[c_307656]) ).
tff(c_307801,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_307798,c_307672]) ).
tff(c_307810,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_307482,c_307801]) ).
tff(c_307811,plain,
( ( op(e3,e2) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,e4) != e3 )
| ( op(e1,e0) != e2 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(splitRight,[status(thm)],[c_307656]) ).
tff(c_307864,plain,
op(e1,op(e1,e0)) != e0,
inference(splitLeft,[status(thm)],[c_307811]) ).
tff(c_307917,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_307906,c_307864]) ).
tff(c_307928,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_306927,c_307917]) ).
tff(c_307929,plain,
( ( op(e1,e0) != e2 )
| ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,e2) != e1 ) ),
inference(splitRight,[status(thm)],[c_307811]) ).
tff(c_307969,plain,
( ( op(e1,e0) != e2 )
| ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e3,e0)) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_307943,c_307929]) ).
tff(c_307970,plain,
op(e3,op(e3,e0)) != e0,
inference(splitLeft,[status(thm)],[c_307969]) ).
tff(c_307990,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_307989,c_307970]) ).
tff(c_307488,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_307479,c_306]) ).
tff(c_306398,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_306388,c_316]) ).
tff(c_308039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_307990,c_307488,c_306398,c_279733,c_279668,c_12]) ).
tff(c_308041,plain,
op(e3,op(e3,e0)) = e0,
inference(splitRight,[status(thm)],[c_307969]) ).
tff(c_308047,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_308046,c_308041]) ).
tff(c_308066,plain,
op(e2,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_308047,c_303020]) ).
tff(c_307827,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_306926,c_307482,c_306412,c_116]) ).
tff(c_307828,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_402,c_406,c_416,c_307827]) ).
tff(c_307834,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_307828,c_277821]) ).
tff(c_307846,plain,
op(e1,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_307834,c_170]) ).
tff(c_308049,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_308046,c_307846]) ).
tff(c_308040,plain,
( ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,e4) != e3 )
| ( op(e1,e0) != e2 ) ),
inference(splitRight,[status(thm)],[c_307969]) ).
tff(c_308090,plain,
( ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,e0) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308049,c_307483,c_308049,c_308040]) ).
tff(c_308091,plain,
op(e1,e0) != e2,
inference(splitLeft,[status(thm)],[c_308090]) ).
tff(c_308156,plain,
( ( e2 = e1 )
| ( e4 = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_308066,c_308046,c_306925,c_140]) ).
tff(c_308157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_308091,c_406,c_404,c_412,c_308156]) ).
tff(c_308159,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_308090]) ).
tff(c_307833,plain,
op(op(e1,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_307828,c_198]) ).
tff(c_308161,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_308159,c_307833]) ).
tff(c_308158,plain,
( ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e3)) != e3 ) ),
inference(splitRight,[status(thm)],[c_308090]) ).
tff(c_308200,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_308066,c_308161,c_308161,c_308066,c_308158]) ).
tff(c_308201,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_303015]) ).
tff(c_308211,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_374]) ).
tff(c_308210,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_362]) ).
tff(c_317318,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_84]) ).
tff(c_317319,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_410,c_317318]) ).
tff(c_317320,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_317319]) ).
tff(c_317326,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_317320,c_338]) ).
tff(c_311471,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_64]) ).
tff(c_311472,plain,
( ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_291385,c_408,c_311471]) ).
tff(c_311473,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_311472]) ).
tff(c_311478,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_282]) ).
tff(c_315856,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_311473,c_138]) ).
tff(c_315857,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279732,c_410,c_315856]) ).
tff(c_315858,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_315857]) ).
tff(c_315864,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_315858,c_277821]) ).
tff(c_315871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_311478,c_315864]) ).
tff(c_315872,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_315857]) ).
tff(c_312622,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_84]) ).
tff(c_312623,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_311478,c_255416,c_410,c_312622]) ).
tff(c_312624,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_312623]) ).
tff(c_311479,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_284]) ).
tff(c_312597,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_104]) ).
tff(c_312598,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_311479,c_279929,c_412,c_312597]) ).
tff(c_312599,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_312598]) ).
tff(c_312601,plain,
op(op(e2,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_312599,c_166]) ).
tff(c_312625,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_312624,c_312601]) ).
tff(c_312635,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_312625]) ).
tff(c_312637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_312635]) ).
tff(c_312638,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_312623]) ).
tff(c_312641,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_312638,c_291380]) ).
tff(c_312651,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_312641]) ).
tff(c_312653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_312651]) ).
tff(c_312654,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_312598]) ).
tff(c_312665,plain,
op(e4,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_312654,c_218]) ).
tff(c_312845,plain,
( ( e4 = e2 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_308201,c_112]) ).
tff(c_312846,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_312845]) ).
tff(c_312847,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_312846]) ).
tff(c_312707,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_312654,c_108]) ).
tff(c_312708,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_420,c_312707]) ).
tff(c_312709,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_312708]) ).
tff(c_312734,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( e4 = e0 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_312709,c_114]) ).
tff(c_312735,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_279669,c_312734]) ).
tff(c_312736,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_312735]) ).
tff(c_312738,plain,
op(op(e0,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_312736,c_190]) ).
tff(c_312849,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_312847,c_312738]) ).
tff(c_312865,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_312849,c_279666]) ).
tff(c_312867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_312865]) ).
tff(c_312868,plain,
( ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_312846]) ).
tff(c_312870,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_312868]) ).
tff(c_312717,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_312709,c_266]) ).
tff(c_312740,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_312736,c_276]) ).
tff(c_312822,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_312717,c_255416,c_279761,c_312740,c_34]) ).
tff(c_312826,plain,
op(e2,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_312822,c_168]) ).
tff(c_312872,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_312870,c_312826]) ).
tff(c_312895,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_312872,c_248]) ).
tff(c_312877,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_312870,c_366]) ).
tff(c_312905,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_291383,c_279934,c_312895,c_312877,c_28]) ).
tff(c_312710,plain,
op(op(e2,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_312709,c_186]) ).
tff(c_312908,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_312905,c_312710]) ).
tff(c_312914,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_312908]) ).
tff(c_312916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_312914]) ).
tff(c_312917,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_312868]) ).
tff(c_312919,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_312917,c_312710]) ).
tff(c_312928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312665,c_312919]) ).
tff(c_312929,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_312735]) ).
tff(c_312955,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_312929,c_332]) ).
tff(c_312681,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_279931,c_30]) ).
tff(c_312682,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_312681]) ).
tff(c_312931,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_312682,c_279928,c_94]) ).
tff(c_312932,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_279664,c_312931]) ).
tff(c_312933,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_312932]) ).
tff(c_312934,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_312933,c_312710]) ).
tff(c_312943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312665,c_312934]) ).
tff(c_312944,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_312932]) ).
tff(c_312960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312955,c_312944]) ).
tff(c_312961,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_312708]) ).
tff(c_312971,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_312961,c_232]) ).
tff(c_313038,plain,
op(e4,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_208865,c_312665,c_303016,c_279784,c_10]) ).
tff(c_311474,plain,
op(op(e4,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_192]) ).
tff(c_313040,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_313038,c_311474]) ).
tff(c_313048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312971,c_313040]) ).
tff(c_313049,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_312681]) ).
tff(c_313051,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_313049]) ).
tff(c_313061,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_313051,c_392]) ).
tff(c_314150,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_308201,c_116]) ).
tff(c_314151,plain,
( ( op(e2,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279731,c_406,c_314150]) ).
tff(c_314152,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_314151]) ).
tff(c_314157,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_314152,c_277821]) ).
tff(c_314165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_311478,c_314157]) ).
tff(c_314166,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_314151]) ).
tff(c_314944,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( e4 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_313051,c_140]) ).
tff(c_314945,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_303016,c_314944]) ).
tff(c_314946,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_314945]) ).
tff(c_314564,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( e4 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_313051,c_140]) ).
tff(c_314565,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_303016,c_314564]) ).
tff(c_314566,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_314565]) ).
tff(c_314104,plain,
op(e4,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_208865,c_312665,c_303016,c_279784,c_10]) ).
tff(c_313562,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_279761,c_34]) ).
tff(c_313563,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_313562]) ).
tff(c_313566,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_313563,c_328]) ).
tff(c_313614,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_312654,c_96]) ).
tff(c_313615,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_279729,c_410,c_313614]) ).
tff(c_313616,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_313615]) ).
tff(c_313053,plain,
op(e4,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_313051,c_196]) ).
tff(c_313618,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_313616,c_313053]) ).
tff(c_313628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_313566,c_313618]) ).
tff(c_313629,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_313615]) ).
tff(c_313573,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_313563,c_332]) ).
tff(c_313586,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_313051,c_279928,c_110]) ).
tff(c_313587,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_418,c_313573,c_313586]) ).
tff(c_313588,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_313587]) ).
tff(c_313592,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_313588,c_186]) ).
tff(c_313633,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_313629,c_313592]) ).
tff(c_313643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_311478,c_313633]) ).
tff(c_313644,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_313587]) ).
tff(c_312658,plain,
op(e1,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_312654,c_172]) ).
tff(c_313646,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_313644,c_312658]) ).
tff(c_313720,plain,
( ( op(e1,e4) = e3 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_313646,c_291381,c_313563,c_118]) ).
tff(c_313721,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_410,c_416,c_313720]) ).
tff(c_313722,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_313721]) ).
tff(c_313645,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_313587]) ).
tff(c_313060,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_313051,c_260]) ).
tff(c_313691,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_313645,c_291383,c_279934,c_313060,c_28]) ).
tff(c_313694,plain,
op(e3,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_313691,c_186]) ).
tff(c_313724,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_313722,c_313694]) ).
tff(c_313735,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_313724,c_279728]) ).
tff(c_313737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_313735]) ).
tff(c_313738,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_313721]) ).
tff(c_308205,plain,
op(op(e1,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_158]) ).
tff(c_313743,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_313738,c_308205]) ).
tff(c_313758,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_313743,c_350]) ).
tff(c_313790,plain,
( ( e4 = e3 )
| ( e4 = e0 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_313646,c_291381,c_313563,c_313738,c_114]) ).
tff(c_313791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_313758,c_414,c_402,c_313790]) ).
tff(c_313792,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_313562]) ).
tff(c_313794,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_313792]) ).
tff(c_311481,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_318]) ).
tff(c_313080,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_118]) ).
tff(c_313081,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279761,c_313080]) ).
tff(c_313082,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_313081]) ).
tff(c_313090,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_313082,c_388]) ).
tff(c_313097,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_311479,c_279932,c_46]) ).
tff(c_313098,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_313097]) ).
tff(c_313100,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_313098,c_313053]) ).
tff(c_313129,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_313100,c_291380]) ).
tff(c_313137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_313090,c_313129]) ).
tff(c_313138,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_313097]) ).
tff(c_308228,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_279935,c_279729,c_16]) ).
tff(c_308229,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_308228]) ).
tff(c_308238,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_308229,c_232]) ).
tff(c_308597,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_279670,c_42]) ).
tff(c_308598,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_308597]) ).
tff(c_308202,plain,
op(e4,e3) != e2,
inference(splitRight,[status(thm)],[c_303015]) ).
tff(c_308244,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_308202,c_279789,c_279790,c_4]) ).
tff(c_308245,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_308244]) ).
tff(c_308247,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_308245,c_291380]) ).
tff(c_308262,plain,
op(e3,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_308247,c_192]) ).
tff(c_308600,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_308598,c_308262]) ).
tff(c_308610,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308238,c_308600]) ).
tff(c_308611,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_308597]) ).
tff(c_308643,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_308611]) ).
tff(c_308263,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_308247,c_160]) ).
tff(c_308645,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_308643,c_308263]) ).
tff(c_308654,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_308645]) ).
tff(c_308656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_308654]) ).
tff(c_308657,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_308611]) ).
tff(c_308468,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_308469,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_291389,c_308468]) ).
tff(c_308470,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_308469]) ).
tff(c_308477,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_308470,c_286]) ).
tff(c_308268,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_308247,c_218]) ).
tff(c_308547,plain,
( ( op(e4,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308470,c_279928,c_308229,c_96]) ).
tff(c_308548,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_406,c_416,c_308268,c_308547]) ).
tff(c_308282,plain,
( ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_308201,c_128]) ).
tff(c_308283,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_308238,c_418,c_308282]) ).
tff(c_308284,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_308283,c_186]) ).
tff(c_308549,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_308548,c_308284]) ).
tff(c_308559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308477,c_308549]) ).
tff(c_308560,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_308469]) ).
tff(c_308582,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_308560]) ).
tff(c_308584,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_308582,c_308262]) ).
tff(c_308594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308238,c_308584]) ).
tff(c_308595,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_308560]) ).
tff(c_308450,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_308283,c_308201,c_116]) ).
tff(c_308451,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_279731,c_406,c_308450]) ).
tff(c_308321,plain,
( ( e3 = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_308247,c_140]) ).
tff(c_308322,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279931,c_406,c_308321]) ).
tff(c_308323,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_308322]) ).
tff(c_308326,plain,
op(op(e0,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_308323,c_190]) ).
tff(c_308452,plain,
op(e3,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_308451,c_308326]) ).
tff(c_308463,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_308229,c_308452]) ).
tff(c_308465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_308463]) ).
tff(c_308466,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_308322]) ).
tff(c_308562,plain,
op(op(e0,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_308466,c_170]) ).
tff(c_308614,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_308595,c_308562]) ).
tff(c_308732,plain,
( ( op(e4,e2) = e4 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308614,c_279928,c_308229,c_92]) ).
tff(c_308733,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_414,c_279726,c_308732]) ).
tff(c_308218,plain,
( ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,e2) != e1 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_291381,c_308201,c_291379]) ).
tff(c_308219,plain,
op(e0,op(e0,e2)) != e2,
inference(splitLeft,[status(thm)],[c_308218]) ).
tff(c_308736,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_308733,c_308219]) ).
tff(c_308745,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_308657,c_308736]) ).
tff(c_308746,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_308244]) ).
tff(c_308749,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_308746,c_291380]) ).
tff(c_308759,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_308749]) ).
tff(c_308761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_308759]) ).
tff(c_308762,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_308228]) ).
tff(c_308764,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_308762]) ).
tff(c_309525,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_308764,c_356]) ).
tff(c_309746,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_309525,c_46]) ).
tff(c_309747,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_309746]) ).
tff(c_309753,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_309747,c_354]) ).
tff(c_308765,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_303016,c_279784,c_10]) ).
tff(c_308766,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_308765]) ).
tff(c_308796,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_64]) ).
tff(c_308797,plain,
( ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_291385,c_408,c_308796]) ).
tff(c_308798,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_308797]) ).
tff(c_308784,plain,
op(op(e0,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_308766,c_160]) ).
tff(c_308815,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_308798,c_308784]) ).
tff(c_308816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_308815]) ).
tff(c_308818,plain,
op(e0,e4) != e1,
inference(splitRight,[status(thm)],[c_308797]) ).
tff(c_308776,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_308764,c_232]) ).
tff(c_308785,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_308766,c_384]) ).
tff(c_308819,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279666,c_68]) ).
tff(c_308820,plain,
( ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_414,c_308819]) ).
tff(c_308821,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_308820]) ).
tff(c_308203,plain,
op(e2,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_182]) ).
tff(c_308822,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_308821,c_308203]) ).
tff(c_308833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308785,c_308822]) ).
tff(c_308834,plain,
( ( op(e2,e4) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_308820]) ).
tff(c_309215,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_308834]) ).
tff(c_309256,plain,
( ( e3 = e1 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_308766,c_136]) ).
tff(c_309257,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279730,c_410,c_309256]) ).
tff(c_309258,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_309257]) ).
tff(c_309265,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_309258,c_392]) ).
tff(c_309368,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_164529,c_308785,c_279931,c_309265,c_30]) ).
tff(c_309264,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_309258,c_278]) ).
tff(c_309299,plain,
( ( op(e4,e2) = e3 )
| ( e4 = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_308764,c_96]) ).
tff(c_309300,plain,
( ( op(e4,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_309264,c_406,c_402,c_309299]) ).
tff(c_309301,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_309300]) ).
tff(c_309305,plain,
op(e3,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_309301,c_180]) ).
tff(c_309370,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_309368,c_309305]) ).
tff(c_309377,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_309215,c_309370]) ).
tff(c_309379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_309377]) ).
tff(c_309380,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_309300]) ).
tff(c_308817,plain,
( ( op(e2,e4) = e1 )
| ( op(e3,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_308797]) ).
tff(c_308852,plain,
op(e3,e4) = e1,
inference(splitLeft,[status(thm)],[c_308817]) ).
tff(c_308866,plain,
( ( op(e2,e4) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308852,c_308834]) ).
tff(c_308867,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_308866]) ).
tff(c_308874,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_308867,c_248]) ).
tff(c_308773,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_308764,c_356]) ).
tff(c_309029,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_308773,c_46]) ).
tff(c_309030,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_309029]) ).
tff(c_309038,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_309030,c_286]) ).
tff(c_309056,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_308818,c_279670,c_42]) ).
tff(c_309057,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_309056]) ).
tff(c_309059,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_309057,c_308784]) ).
tff(c_309086,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_309059,c_260]) ).
tff(c_309098,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_164529,c_308785,c_279931,c_309086,c_30]) ).
tff(c_309033,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_309030,c_196]) ).
tff(c_309101,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_309098,c_309033]) ).
tff(c_309144,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e4 = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_309059,c_309101,c_308201,c_116]) ).
tff(c_309145,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_402,c_416,c_406,c_309144]) ).
tff(c_309151,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_309145,c_277821]) ).
tff(c_309156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309038,c_309151]) ).
tff(c_309157,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_309056]) ).
tff(c_309160,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_309157,c_308784]) ).
tff(c_309168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308776,c_309160]) ).
tff(c_309169,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_309029]) ).
tff(c_309199,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_309169,c_146]) ).
tff(c_309200,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_291389,c_410,c_308818,c_309199]) ).
tff(c_308900,plain,
( ( e2 = e1 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_308766,c_140]) ).
tff(c_308901,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279931,c_412,c_308900]) ).
tff(c_308902,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_308901]) ).
tff(c_308790,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_308766,c_216]) ).
tff(c_308991,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_308790,c_308202,c_279789,c_279790,c_4]) ).
tff(c_308853,plain,
op(e1,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_308852,c_154]) ).
tff(c_308992,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_308991,c_308853]) ).
tff(c_309003,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308902,c_308992]) ).
tff(c_309005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_309003]) ).
tff(c_309006,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_308901]) ).
tff(c_309011,plain,
op(e2,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_309006,c_194]) ).
tff(c_309202,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_309200,c_309011]) ).
tff(c_309212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308874,c_309202]) ).
tff(c_309213,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_308817]) ).
tff(c_309231,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_309213,c_172]) ).
tff(c_309382,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_309380,c_309231]) ).
tff(c_309391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308210,c_309382]) ).
tff(c_309392,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_309257]) ).
tff(c_309421,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_309392,c_279928,c_309213,c_110]) ).
tff(c_309422,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_418,c_420,c_309421]) ).
tff(c_309423,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_309422]) ).
tff(c_309470,plain,
( ( e4 = e2 )
| ( op(e3,e1) = e4 )
| ( e4 = e0 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_309423,c_308201,c_112]) ).
tff(c_309471,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_308776,c_404,c_309470]) ).
tff(c_309476,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_309471,c_277821]) ).
tff(c_309483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308818,c_309476]) ).
tff(c_309484,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_309422]) ).
tff(c_308768,plain,
op(e4,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308764,c_174]) ).
tff(c_309487,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_309484,c_308768]) ).
tff(c_309495,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_308766,c_309487]) ).
tff(c_309497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_309495]) ).
tff(c_309498,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_308834]) ).
tff(c_309514,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_309498,c_309213]) ).
tff(c_309516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_309514]) ).
tff(c_309517,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_308765]) ).
tff(c_309762,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_309517,c_308201,c_279666,c_66]) ).
tff(c_309763,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_410,c_412,c_309753,c_408,c_309762]) ).
tff(c_309765,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_309763,c_291380]) ).
tff(c_309774,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_309765]) ).
tff(c_309776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_309774]) ).
tff(c_309777,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_309746]) ).
tff(c_309782,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_309777,c_308219]) ).
tff(c_309567,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_94]) ).
tff(c_309568,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_279664,c_309567]) ).
tff(c_309569,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_309568]) ).
tff(c_309572,plain,
op(op(e0,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_309569,c_180]) ).
tff(c_309780,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_309777,c_309572]) ).
tff(c_309802,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_309780,c_316]) ).
tff(c_309856,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_309777,c_142]) ).
tff(c_309857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_308211,c_406,c_309782,c_309802,c_309856]) ).
tff(c_309858,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_309568]) ).
tff(c_309860,plain,
op(e2,e3) = e4,
inference(splitLeft,[status(thm)],[c_309858]) ).
tff(c_309520,plain,
op(e4,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308764,c_174]) ).
tff(c_309862,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_309860,c_309520]) ).
tff(c_309891,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_309862,c_279666]) ).
tff(c_309893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_309891]) ).
tff(c_309895,plain,
op(e2,e3) != e4,
inference(splitRight,[status(thm)],[c_309858]) ).
tff(c_309539,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_309517,c_388]) ).
tff(c_309946,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_118]) ).
tff(c_309947,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_309539,c_410,c_279761,c_309946]) ).
tff(c_309948,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_309947]) ).
tff(c_309894,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_309858]) ).
tff(c_309896,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_309894,c_186]) ).
tff(c_309950,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_309948,c_309896]) ).
tff(c_309976,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_309950,c_291380]) ).
tff(c_309983,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_309976]) ).
tff(c_309985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_309983]) ).
tff(c_309986,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_309947]) ).
tff(c_309988,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_309986,c_308203]) ).
tff(c_309913,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_309525,c_46]) ).
tff(c_309914,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_309913]) ).
tff(c_309924,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_309914,c_284]) ).
tff(c_309991,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_309986,c_320]) ).
tff(c_310091,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_50476,c_309924,c_309991,c_279670,c_42]) ).
tff(c_309536,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_309517,c_160]) ).
tff(c_310094,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_310091,c_309536]) ).
tff(c_310099,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_309988,c_310094]) ).
tff(c_310101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_310099]) ).
tff(c_310102,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_309913]) ).
tff(c_310105,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_310102,c_308219]) ).
tff(c_310216,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_310102,c_142]) ).
tff(c_310217,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_308211,c_406,c_310105,c_310216]) ).
tff(c_310219,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_310217,c_309536]) ).
tff(c_310228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309895,c_310219]) ).
tff(c_310229,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_308762]) ).
tff(c_311302,plain,
( ( op(e4,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_310229,c_108]) ).
tff(c_311303,plain,
( ( op(e4,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_420,c_311302]) ).
tff(c_311304,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_311303]) ).
tff(c_311371,plain,
( ( op(e4,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311304,c_279928,c_310229,c_96]) ).
tff(c_311372,plain,
( ( op(e4,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_406,c_410,c_311371]) ).
tff(c_311373,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_311372]) ).
tff(c_311381,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_311373,c_292]) ).
tff(c_311312,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_311304,c_266]) ).
tff(c_311395,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_88]) ).
tff(c_311396,plain,
( ( op(e4,e3) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_311312,c_416,c_311395]) ).
tff(c_311397,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_311396]) ).
tff(c_310233,plain,
op(op(e2,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_310229,c_166]) ).
tff(c_311398,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_311397,c_310233]) ).
tff(c_311409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_311381,c_311398]) ).
tff(c_311410,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_311396]) ).
tff(c_310523,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_310524,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_308211,c_279932,c_310523]) ).
tff(c_310525,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_310524]) ).
tff(c_310239,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_310229,c_342]) ).
tff(c_310352,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_94]) ).
tff(c_310353,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_279664,c_310352]) ).
tff(c_310354,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_310353]) ).
tff(c_310362,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_310354,c_260]) ).
tff(c_310247,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_310229,c_279728,c_90]) ).
tff(c_310248,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_420,c_416,c_310247]) ).
tff(c_310249,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_310248]) ).
tff(c_310424,plain,
( ( e4 = e2 )
| ( e4 = e0 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_310249,c_308201,c_112]) ).
tff(c_310425,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_310362,c_414,c_404,c_310424]) ).
tff(c_310279,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_310280,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279931,c_303016,c_310279]) ).
tff(c_310281,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_310280]) ).
tff(c_310286,plain,
op(op(e0,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_310281,c_190]) ).
tff(c_310426,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_310425,c_310286]) ).
tff(c_310437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_310239,c_310426]) ).
tff(c_310438,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_310353]) ).
tff(c_310440,plain,
op(e2,e3) = e4,
inference(splitLeft,[status(thm)],[c_310438]) ).
tff(c_310441,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_310440,c_310233]) ).
tff(c_310450,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_310441]) ).
tff(c_310452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_310450]) ).
tff(c_310453,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_310438]) ).
tff(c_310321,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_310281,c_291381,c_118]) ).
tff(c_310322,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_410,c_279761,c_310321]) ).
tff(c_310323,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_310322]) ).
tff(c_310324,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_310323,c_186]) ).
tff(c_310456,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_310453,c_310324]) ).
tff(c_310483,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_310456,c_291380]) ).
tff(c_310490,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_310483]) ).
tff(c_310492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_310490]) ).
tff(c_310493,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_310322]) ).
tff(c_310497,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_310493,c_308205]) ).
tff(c_310505,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_310229,c_310497]) ).
tff(c_310507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_310505]) ).
tff(c_310508,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_310280]) ).
tff(c_310511,plain,
op(op(e0,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_310508,c_170]) ).
tff(c_310538,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_310525,c_310511]) ).
tff(c_310539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_310538]) ).
tff(c_310540,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_310524]) ).
tff(c_310237,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_310229,c_356]) ).
tff(c_310591,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_310237,c_279932,c_46]) ).
tff(c_310592,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_310591]) ).
tff(c_310598,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_310592,c_354]) ).
tff(c_310625,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_279666,c_66]) ).
tff(c_310626,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_310239,c_408,c_310625]) ).
tff(c_310627,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_310626]) ).
tff(c_310542,plain,
op(op(e4,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_310540,c_192]) ).
tff(c_310630,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_310627,c_310542]) ).
tff(c_310546,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_310540,c_282]) ).
tff(c_310668,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_310546,c_279732,c_44]) ).
tff(c_310669,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_310668]) ).
tff(c_310670,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_310669,c_310511]) ).
tff(c_310679,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_310630,c_310670]) ).
tff(c_310681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_310679]) ).
tff(c_310682,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_310668]) ).
tff(c_310702,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_310682,c_310511]) ).
tff(c_310712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_310598,c_310702]) ).
tff(c_310713,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_310626]) ).
tff(c_310716,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_310713,c_291380]) ).
tff(c_310726,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_310716]) ).
tff(c_310728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_310726]) ).
tff(c_310729,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_310591]) ).
tff(c_310733,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_310729,c_308219]) ).
tff(c_310744,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_310540,c_310733]) ).
tff(c_310745,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_310248]) ).
tff(c_310748,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_310745,c_154]) ).
tff(c_311412,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_311410,c_310748]) ).
tff(c_311423,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_311412]) ).
tff(c_311425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_311423]) ).
tff(c_311426,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_311372]) ).
tff(c_310769,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_310770,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279931,c_303016,c_310769]) ).
tff(c_310771,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_310770]) ).
tff(c_310935,plain,
( ( op(e4,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_310229,c_108]) ).
tff(c_310936,plain,
( ( op(e4,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_420,c_310935]) ).
tff(c_310937,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_310936]) ).
tff(c_310944,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_310937,c_348]) ).
tff(c_310945,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_310937,c_266]) ).
tff(c_310805,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_279666,c_70]) ).
tff(c_310806,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_418,c_414,c_310805]) ).
tff(c_310807,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_310806]) ).
tff(c_310852,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_310807,c_279666,c_66]) ).
tff(c_310853,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_420,c_408,c_310852]) ).
tff(c_310854,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_310853]) ).
tff(c_310802,plain,
( ( e4 = e1 )
| ( e1 = e0 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_310745,c_279666,c_64]) ).
tff(c_310803,plain,
( ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_291385,c_420,c_408,c_310802]) ).
tff(c_310804,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_310803]) ).
tff(c_310809,plain,
op(e1,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_310804,c_160]) ).
tff(c_310856,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_310854,c_310809]) ).
tff(c_310863,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_310856]) ).
tff(c_310865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_310863]) ).
tff(c_310866,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_310853]) ).
tff(c_310749,plain,
op(op(e4,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_310745,c_162]) ).
tff(c_310870,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_310866,c_310749]) ).
tff(c_310879,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_310771,c_310870]) ).
tff(c_310881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_310879]) ).
tff(c_310882,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_310806]) ).
tff(c_310897,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_310882,c_310748]) ).
tff(c_310908,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_310897]) ).
tff(c_310910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_310908]) ).
tff(c_310912,plain,
op(e0,e4) != e1,
inference(splitRight,[status(thm)],[c_310803]) ).
tff(c_310960,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_310961,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_291389,c_310237,c_310912,c_310960]) ).
tff(c_310984,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_310961,c_279728,c_88]) ).
tff(c_310985,plain,
( ( op(e4,e3) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_310945,c_416,c_310984]) ).
tff(c_310986,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_310985]) ).
tff(c_311007,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_310986,c_324]) ).
tff(c_310965,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_310961,c_334]) ).
tff(c_310987,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_279666,c_66]) ).
tff(c_310988,plain,
op(e4,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_310239,c_310965,c_408,c_310987]) ).
tff(c_311121,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_310988,c_308201,c_279666,c_70]) ).
tff(c_311122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_418,c_310944,c_311007,c_414,c_311121]) ).
tff(c_311123,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_310985]) ).
tff(c_311126,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_311123,c_310748]) ).
tff(c_311136,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_311126]) ).
tff(c_311138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_311136]) ).
tff(c_311139,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_310936]) ).
tff(c_310911,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_310803]) ).
tff(c_310914,plain,
op(e1,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_310911,c_156]) ).
tff(c_311141,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_311139,c_310914]) ).
tff(c_311150,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_310771,c_311141]) ).
tff(c_311152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_311150]) ).
tff(c_311153,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_310770]) ).
tff(c_311225,plain,
( ( e4 = e0 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e3,e1) = e4 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311153,c_310229,c_279728,c_310745,c_74]) ).
tff(c_311226,plain,
op(e3,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_402,c_414,c_311225]) ).
tff(c_311234,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_311226,c_376]) ).
tff(c_311208,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_279666,c_66]) ).
tff(c_311209,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_310239,c_408,c_311208]) ).
tff(c_311210,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_311209]) ).
tff(c_311180,plain,
( ( e4 = e1 )
| ( e1 = e0 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_310745,c_279666,c_64]) ).
tff(c_311181,plain,
( ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_291385,c_420,c_408,c_311180]) ).
tff(c_311182,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_311181]) ).
tff(c_311184,plain,
op(e1,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_311182,c_160]) ).
tff(c_311211,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_311210,c_311184]) ).
tff(c_311220,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_311211]) ).
tff(c_311222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_311220]) ).
tff(c_311223,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_311209]) ).
tff(c_311239,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_311223,c_310748]) ).
tff(c_311251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_311234,c_311239]) ).
tff(c_311252,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_311181]) ).
tff(c_311256,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_311252,c_172]) ).
tff(c_311429,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_311426,c_311256]) ).
tff(c_311272,plain,
( ( e4 = e0 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e3,e1) = e4 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311153,c_310229,c_279728,c_310745,c_74]) ).
tff(c_311273,plain,
op(e3,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_402,c_414,c_311272]) ).
tff(c_311441,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_311429,c_311273]) ).
tff(c_311443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_311441]) ).
tff(c_311444,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_311303]) ).
tff(c_311446,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_311444,c_311256]) ).
tff(c_311456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308211,c_311446]) ).
tff(c_311458,plain,
op(e0,op(e0,e2)) = e2,
inference(splitRight,[status(thm)],[c_308218]) ).
tff(c_313144,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_313138,c_311458]) ).
tff(c_313151,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_313144]) ).
tff(c_313153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_313151]) ).
tff(c_313154,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_313081]) ).
tff(c_313156,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_313154]) ).
tff(c_313165,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_313156,c_312]) ).
tff(c_313226,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_311481,c_279933,c_313165,c_279664,c_22]) ).
tff(c_313228,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_313226,c_312658]) ).
tff(c_313244,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_313228,c_276]) ).
tff(c_313157,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_313156,c_308203]) ).
tff(c_313271,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_313157,c_279728,c_80]) ).
tff(c_313272,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_313244,c_412,c_406,c_308202,c_313271]) ).
tff(c_311742,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_279666,c_70]) ).
tff(c_311743,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_418,c_414,c_311742]) ).
tff(c_311744,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_311743]) ).
tff(c_311749,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_311744,c_206]) ).
tff(c_311937,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_311749,c_308202,c_279789,c_279790,c_4]) ).
tff(c_311940,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_311937,c_291380]) ).
tff(c_311949,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_311940]) ).
tff(c_311951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_311949]) ).
tff(c_311952,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_311743]) ).
tff(c_311955,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_311952,c_291380]) ).
tff(c_311969,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_311955,c_311474]) ).
tff(c_312067,plain,
( ( e4 = e2 )
| ( e4 = e0 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_311969,c_308201,c_112]) ).
tff(c_312068,plain,
( ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_404,c_312067]) ).
tff(c_312069,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_312068]) ).
tff(c_311710,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_311711,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_279931,c_303016,c_311710]) ).
tff(c_311712,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_311711]) ).
tff(c_311729,plain,
op(op(e0,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_311712,c_190]) ).
tff(c_312070,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_312069,c_311729]) ).
tff(c_311457,plain,
( ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,e2) != e1 )
| ( op(e4,op(e4,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_308218]) ).
tff(c_311498,plain,
( ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,e2) != e1 )
| ( op(e4,op(e4,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_311457]) ).
tff(c_311499,plain,
op(e4,op(e4,e2)) != e2,
inference(splitLeft,[status(thm)],[c_311498]) ).
tff(c_312116,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_312070,c_311499]) ).
tff(c_312122,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_312116]) ).
tff(c_312123,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_312068]) ).
tff(c_311953,plain,
op(e4,e2) != e0,
inference(splitRight,[status(thm)],[c_311743]) ).
tff(c_311617,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_308202,c_279789,c_279790,c_4]) ).
tff(c_311618,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_311617]) ).
tff(c_311620,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_311618,c_291380]) ).
tff(c_311634,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_311620,c_311474]) ).
tff(c_311502,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_279935,c_279729,c_16]) ).
tff(c_311503,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_311502]) ).
tff(c_311511,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_311503,c_342]) ).
tff(c_311550,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_311479,c_279932,c_46]) ).
tff(c_311551,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_311550]) ).
tff(c_311553,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_311551,c_311458]) ).
tff(c_311522,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( e4 = e0 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311503,c_279728,c_74]) ).
tff(c_311523,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_279668,c_311522]) ).
tff(c_311524,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_311523]) ).
tff(c_311526,plain,
op(e4,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_311524,c_194]) ).
tff(c_311566,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_311553,c_311526]) ).
tff(c_311576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_311511,c_311566]) ).
tff(c_311577,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_311550]) ).
tff(c_311581,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_311577,c_311458]) ).
tff(c_311590,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_311581]) ).
tff(c_311592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_311590]) ).
tff(c_311593,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_311523]) ).
tff(c_311660,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_311634,c_311593]) ).
tff(c_311662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_311660]) ).
tff(c_311663,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_311617]) ).
tff(c_311695,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_311663,c_291380]) ).
tff(c_311704,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_311695]) ).
tff(c_311706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_311704]) ).
tff(c_311707,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_311502]) ).
tff(c_311709,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_311707]) ).
tff(c_312045,plain,
( ( op(e4,e2) = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_311709,c_108]) ).
tff(c_312046,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_414,c_311953,c_312045]) ).
tff(c_312049,plain,
op(e0,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_312046,c_178]) ).
tff(c_312125,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_312123,c_312049]) ).
tff(c_312134,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_312125]) ).
tff(c_312136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_312134]) ).
tff(c_312137,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_311711]) ).
tff(c_312368,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_311481,c_279933,c_279664,c_22]) ).
tff(c_312369,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_312368]) ).
tff(c_312148,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_311709,c_232]) ).
tff(c_312154,plain,
( ( op(e4,e2) = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_311709,c_108]) ).
tff(c_312155,plain,
( ( op(e4,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_414,c_312154]) ).
tff(c_312156,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_312155]) ).
tff(c_312300,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_312156,c_279928,c_311709,c_104]) ).
tff(c_312301,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_311479,c_420,c_412,c_408,c_312300]) ).
tff(c_312138,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_311711]) ).
tff(c_312260,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_312156,c_279928,c_311709,c_104]) ).
tff(c_312261,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_311479,c_420,c_412,c_408,c_312260]) ).
tff(c_312211,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_311481,c_279933,c_279664,c_22]) ).
tff(c_312212,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_312211]) ).
tff(c_312215,plain,
op(op(e4,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_312212,c_172]) ).
tff(c_312263,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_312261,c_312215]) ).
tff(c_312272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312138,c_312263]) ).
tff(c_312273,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_312211]) ).
tff(c_312276,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_312273,c_156]) ).
tff(c_312303,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_312301,c_312276]) ).
tff(c_312312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312148,c_312303]) ).
tff(c_312313,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_312155]) ).
tff(c_312316,plain,
op(op(e2,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_312313,c_156]) ).
tff(c_312370,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_312369,c_312316]) ).
tff(c_312380,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_312370]) ).
tff(c_312382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_312380]) ).
tff(c_312383,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_312368]) ).
tff(c_312385,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_312383,c_312316]) ).
tff(c_312395,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_312137,c_312385]) ).
tff(c_312397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_312395]) ).
tff(c_312398,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_311707]) ).
tff(c_312408,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_312398,c_342]) ).
tff(c_312445,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_279666,c_70]) ).
tff(c_312446,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_418,c_414,c_312445]) ).
tff(c_312447,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_312446]) ).
tff(c_312490,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_312447,c_279666,c_66]) ).
tff(c_312491,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_420,c_408,c_312490]) ).
tff(c_312492,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_312491]) ).
tff(c_311475,plain,
op(e1,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_160]) ).
tff(c_312494,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_312492,c_311475]) ).
tff(c_312500,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_312494]) ).
tff(c_312502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_312500]) ).
tff(c_312503,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_312491]) ).
tff(c_312507,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_312503,c_291380]) ).
tff(c_312516,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_312507]) ).
tff(c_312518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_312516]) ).
tff(c_312519,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_312446]) ).
tff(c_312522,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_312519,c_291380]) ).
tff(c_312589,plain,
( ( e4 = e1 )
| ( e1 = e0 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_312522,c_308201,c_312519,c_279666,c_66]) ).
tff(c_312590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_412,c_312408,c_420,c_408,c_312589]) ).
tff(c_312591,plain,
( ( op(e4,e2) != e1 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,e1) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(splitRight,[status(thm)],[c_311498]) ).
tff(c_313068,plain,
( ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,e4) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,e1) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_313051,c_312654,c_312591]) ).
tff(c_313069,plain,
op(e0,op(e0,e3)) != e3,
inference(splitLeft,[status(thm)],[c_313068]) ).
tff(c_313274,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_313272,c_313069]) ).
tff(c_312657,plain,
op(op(e2,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_312654,c_156]) ).
tff(c_313229,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_313226,c_312657]) ).
tff(c_313298,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e4 = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_313229,c_313272,c_311473,c_138]) ).
tff(c_313299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_313274,c_406,c_410,c_313298]) ).
tff(c_313301,plain,
op(e1,e4) != e3,
inference(splitRight,[status(thm)],[c_313154]) ).
tff(c_313315,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_313051,c_279928,c_110]) ).
tff(c_313316,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_418,c_313315]) ).
tff(c_313317,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_313316]) ).
tff(c_313300,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_313154]) ).
tff(c_313302,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_313300,c_186]) ).
tff(c_313329,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_313317,c_313302]) ).
tff(c_313330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_311478,c_313329]) ).
tff(c_313331,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_313316]) ).
tff(c_313341,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_313331]) ).
tff(c_313346,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_313341,c_312657]) ).
tff(c_313378,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_313346,c_292]) ).
tff(c_313435,plain,
( ( e4 = e1 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_313300,c_279928,c_312654,c_92]) ).
tff(c_313436,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_313378,c_402,c_404,c_408,c_313435]) ).
tff(c_313349,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_313341,c_242]) ).
tff(c_313059,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_313051,c_256]) ).
tff(c_313412,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_313349,c_279936,c_279792,c_313059,c_24]) ).
tff(c_313416,plain,
op(e1,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_313412,c_166]) ).
tff(c_313437,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_313436,c_313416]) ).
tff(c_313447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_313301,c_313437]) ).
tff(c_313449,plain,
op(e2,e4) != e0,
inference(splitRight,[status(thm)],[c_313331]) ).
tff(c_313468,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_313449,c_311481,c_279933,c_279664,c_22]) ).
tff(c_313470,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_313468,c_312658]) ).
tff(c_313536,plain,
op(e4,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_208865,c_312665,c_303016,c_279784,c_10]) ).
tff(c_313539,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_313536,c_311475]) ).
tff(c_313545,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_313470,c_313539]) ).
tff(c_313547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_313545]) ).
tff(c_313548,plain,
( ( op(e0,e1) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,e4) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(splitRight,[status(thm)],[c_313068]) ).
tff(c_313814,plain,
( ( op(e0,e1) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,e4) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_313794,c_313548]) ).
tff(c_313815,plain,
op(e4,op(e4,e0)) != e0,
inference(splitLeft,[status(thm)],[c_313814]) ).
tff(c_314105,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_314104,c_313815]) ).
tff(c_312660,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_312654,c_206]) ).
tff(c_314139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_314105,c_312660,c_308202,c_279789,c_279790,c_4]) ).
tff(c_314140,plain,
( ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,e4) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,e1) != e4 ) ),
inference(splitRight,[status(thm)],[c_313814]) ).
tff(c_314168,plain,
op(e0,e1) != e4,
inference(splitLeft,[status(thm)],[c_314140]) ).
tff(c_314291,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_312660,c_308202,c_279789,c_279790,c_4]) ).
tff(c_314294,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_314291,c_291380]) ).
tff(c_314308,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_314294,c_311474]) ).
tff(c_314329,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_314308,c_228]) ).
tff(c_314190,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( e4 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_313051,c_140]) ).
tff(c_314191,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_303016,c_314190]) ).
tff(c_314192,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_314191]) ).
tff(c_314353,plain,
( ( op(e1,e4) = e3 )
| ( e4 = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_314192,c_291381,c_313794,c_118]) ).
tff(c_314354,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_410,c_402,c_314353]) ).
tff(c_314355,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_314354]) ).
tff(c_314172,plain,
op(op(e1,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_314166,c_178]) ).
tff(c_314356,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_314355,c_314172]) ).
tff(c_314367,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_314356,c_279728]) ).
tff(c_314369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_314367]) ).
tff(c_314370,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_314354]) ).
tff(c_314405,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_314370,c_279666,c_68]) ).
tff(c_314406,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_314329,c_414,c_314405]) ).
tff(c_314409,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_314406,c_312657]) ).
tff(c_314416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_314168,c_314409]) ).
tff(c_314417,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_314191]) ).
tff(c_314427,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_314417,c_234]) ).
tff(c_314174,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_314166,c_248]) ).
tff(c_314441,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_279666,c_56]) ).
tff(c_314442,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_314174,c_279733,c_402,c_314441]) ).
tff(c_314446,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_314442,c_264]) ).
tff(c_314444,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_314442,c_308205]) ).
tff(c_314500,plain,
( ( e3 = e1 )
| ( e4 = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_314444,c_312654,c_96]) ).
tff(c_314501,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_314446,c_406,c_402,c_410,c_314500]) ).
tff(c_313054,plain,
op(op(e0,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_313051,c_180]) ).
tff(c_314503,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_314501,c_313054]) ).
tff(c_314513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_314427,c_314503]) ).
tff(c_314515,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_314140]) ).
tff(c_314533,plain,
op(op(e1,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_314515,c_198]) ).
tff(c_314568,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_314566,c_314533]) ).
tff(c_314598,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( e3 = e0 )
| ( op(e1,e4) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_314568,c_279666,c_56]) ).
tff(c_314599,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_279733,c_402,c_314598]) ).
tff(c_314603,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_314599,c_308205]) ).
tff(c_313804,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_313794,c_340]) ).
tff(c_314706,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_252838,c_311478,c_279732,c_313804,c_44]) ).
tff(c_313549,plain,
op(e0,op(e0,e3)) = e3,
inference(splitRight,[status(thm)],[c_313068]) ).
tff(c_314708,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_314706,c_313549]) ).
tff(c_314720,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_314708,c_313054]) ).
tff(c_314514,plain,
( ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,e4) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_314140]) ).
tff(c_314546,plain,
( ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,e4) != e0 )
| ( op(e2,e3) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_314166,c_314514]) ).
tff(c_314547,plain,
op(e3,op(e3,e4)) != e4,
inference(splitLeft,[status(thm)],[c_314546]) ).
tff(c_314736,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_314720,c_314547]) ).
tff(c_314745,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_314603,c_314736]) ).
tff(c_314746,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_314565]) ).
tff(c_314776,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_314746,c_234]) ).
tff(c_314909,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_279666,c_60]) ).
tff(c_314910,plain,
op(e1,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_279933,c_314776,c_404,c_314909]) ).
tff(c_314912,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_314910,c_308205]) ).
tff(c_314919,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_314912]) ).
tff(c_314921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_314919]) ).
tff(c_314922,plain,
( ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) != e1 )
| ( op(e2,e4) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(splitRight,[status(thm)],[c_314546]) ).
tff(c_314947,plain,
op(e1,op(e1,e0)) != e0,
inference(splitLeft,[status(thm)],[c_314922]) ).
tff(c_314977,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_314946,c_314947]) ).
tff(c_314955,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_314946,c_390]) ).
tff(c_313056,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_313051,c_386]) ).
tff(c_315101,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_252828,c_314955,c_279730,c_313056,c_20]) ).
tff(c_314949,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_314946,c_314533]) ).
tff(c_314969,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_314949,c_306]) ).
tff(c_312655,plain,
op(e3,e2) != e1,
inference(splitRight,[status(thm)],[c_312598]) ).
tff(c_314978,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_312655,c_279935,c_279729,c_16]) ).
tff(c_314979,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_314978]) ).
tff(c_315002,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_252838,c_311478,c_279732,c_313804,c_44]) ).
tff(c_315004,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_315002,c_313549]) ).
tff(c_315018,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315004,c_313054]) ).
tff(c_314923,plain,
op(e3,op(e3,e4)) = e4,
inference(splitRight,[status(thm)],[c_314546]) ).
tff(c_315031,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_315018,c_314923]) ).
tff(c_315040,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_314979,c_315031]) ).
tff(c_315042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_315040]) ).
tff(c_315043,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_314978]) ).
tff(c_315123,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e4 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_315101,c_315043,c_279728,c_90]) ).
tff(c_315124,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_414,c_416,c_314969,c_315123]) ).
tff(c_82,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_315180,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_315101,c_315124,c_315043,c_279728,c_82]) ).
tff(c_315181,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_418,c_404,c_406,c_315180]) ).
tff(c_313797,plain,
op(e4,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_313794,c_168]) ).
tff(c_315126,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_315124,c_313797]) ).
tff(c_314141,plain,
op(e4,op(e4,e0)) = e0,
inference(splitRight,[status(thm)],[c_313814]) ).
tff(c_315139,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_315126,c_314141]) ).
tff(c_315157,plain,
op(e0,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_315139,c_162]) ).
tff(c_315182,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_315181,c_315157]) ).
tff(c_315199,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315182,c_311458]) ).
tff(c_315105,plain,
op(e1,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_315101,c_194]) ).
tff(c_315210,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_315199,c_315105]) ).
tff(c_315218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_314977,c_315210]) ).
tff(c_315220,plain,
op(e1,op(e1,e0)) = e0,
inference(splitRight,[status(thm)],[c_314922]) ).
tff(c_315250,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_314946,c_315220]) ).
tff(c_314519,plain,
op(op(e1,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_314166,c_178]) ).
tff(c_315252,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315250,c_314519]) ).
tff(c_315375,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_315252,c_313549]) ).
tff(c_315388,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_315375,c_313053]) ).
tff(c_315415,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_315388,c_291380]) ).
tff(c_315439,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_315415,c_311474]) ).
tff(c_314517,plain,
op(e3,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_314166,c_186]) ).
tff(c_315251,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_315250,c_314517]) ).
tff(c_315281,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_315252,c_313549]) ).
tff(c_315293,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315281,c_313054]) ).
tff(c_315306,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_315293,c_314923]) ).
tff(c_315222,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_314946,c_314533]) ).
tff(c_315219,plain,
( ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,e4) != e0 )
| ( op(e2,e3) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_314922]) ).
tff(c_315278,plain,
( ( op(e1,e4) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,e3) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e3,e1) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_315251,c_313051,c_315222,c_315222,c_314946,c_315250,c_315219]) ).
tff(c_315279,plain,
op(e3,op(e3,e2)) != e2,
inference(splitLeft,[status(thm)],[c_315278]) ).
tff(c_315367,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_315293,c_315306,c_315279]) ).
tff(c_315368,plain,
( ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,e1) != e0 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) != e1 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,e4) != e3 ) ),
inference(splitRight,[status(thm)],[c_315278]) ).
tff(c_315464,plain,
( ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) != e1 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,e4) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_315439,c_315251,c_315439,c_315368]) ).
tff(c_315465,plain,
op(e1,e4) != e3,
inference(splitLeft,[status(thm)],[c_315464]) ).
tff(c_315387,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315375,c_313054]) ).
tff(c_315493,plain,
( ( e4 = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e4) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_311473,c_315222,c_315387,c_279666,c_56]) ).
tff(c_315494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_315465,c_416,c_406,c_402,c_315493]) ).
tff(c_315496,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_315464]) ).
tff(c_315499,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_315496,c_308203]) ).
tff(c_315495,plain,
( ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,e3) != e1 )
| ( op(e2,op(e2,e3)) != e3 ) ),
inference(splitRight,[status(thm)],[c_315464]) ).
tff(c_315519,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_314166,c_315499,c_315499,c_313794,c_315496,c_315495]) ).
tff(c_315521,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_314945]) ).
tff(c_314521,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_314166,c_248]) ).
tff(c_315597,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_311481,c_279933,c_314521,c_279664,c_22]) ).
tff(c_315599,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315597,c_312658]) ).
tff(c_315607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_315521,c_315599]) ).
tff(c_315608,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_313792]) ).
tff(c_315619,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_315608,c_340]) ).
tff(c_315636,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_312654,c_96]) ).
tff(c_315637,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_279729,c_410,c_315636]) ).
tff(c_315638,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_315637]) ).
tff(c_315642,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315638,c_311458]) ).
tff(c_315650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_315619,c_315642]) ).
tff(c_315651,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_315637]) ).
tff(c_315669,plain,
( ( op(e1,e4) = e4 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_315651,c_315608,c_114]) ).
tff(c_315670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_313061,c_408,c_402,c_404,c_279669,c_315669]) ).
tff(c_315671,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_313049]) ).
tff(c_315675,plain,
op(op(e0,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315671,c_180]) ).
tff(c_315875,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315872,c_315675]) ).
tff(c_315888,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_315875,c_279728]) ).
tff(c_315890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_315888]) ).
tff(c_315891,plain,
( ( op(e2,e4) = e1 )
| ( op(e3,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_311472]) ).
tff(c_315893,plain,
op(e3,e4) = e1,
inference(splitLeft,[status(thm)],[c_315891]) ).
tff(c_317292,plain,
( ( e4 = e1 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_315893,c_74]) ).
tff(c_317293,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_408,c_317292]) ).
tff(c_317294,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_317293]) ).
tff(c_317297,plain,
op(op(e0,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_317294,c_170]) ).
tff(c_317322,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_317320,c_317297]) ).
tff(c_317336,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_317322,c_308203]) ).
tff(c_317346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_317326,c_317336]) ).
tff(c_317348,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_317319]) ).
tff(c_315892,plain,
op(e0,e4) != e1,
inference(splitRight,[status(thm)],[c_311472]) ).
tff(c_317302,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_317294,c_240]) ).
tff(c_317413,plain,
( ( e4 = e2 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_308201,c_112]) ).
tff(c_317414,plain,
( ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_317302,c_404,c_317413]) ).
tff(c_317415,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_317414]) ).
tff(c_317420,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_317415,c_277821]) ).
tff(c_317429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_315892,c_317420]) ).
tff(c_317431,plain,
op(e0,e1) != e4,
inference(splitRight,[status(thm)],[c_317414]) ).
tff(c_317454,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_233155,c_291389,c_308211,c_317431,c_48]) ).
tff(c_317460,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_317454,c_277821]) ).
tff(c_317468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_317348,c_317460]) ).
tff(c_317469,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_317293]) ).
tff(c_318143,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_317469]) ).
tff(c_318473,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_318143,c_279728,c_315893,c_82]) ).
tff(c_318474,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_308210,c_404,c_406,c_412,c_318473]) ).
tff(c_318153,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_318143,c_232]) ).
tff(c_318167,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_318168,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279732,c_318167]) ).
tff(c_318169,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_318168]) ).
tff(c_318237,plain,
( ( e4 = e2 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_318169,c_291381,c_308201,c_112]) ).
tff(c_318238,plain,
op(e2,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_408,c_318153,c_404,c_318237]) ).
tff(c_315901,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_315893,c_234]) ).
tff(c_317470,plain,
op(e3,e0) != e4,
inference(splitRight,[status(thm)],[c_317293]) ).
tff(c_318201,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_252828,c_315901,c_279730,c_317470,c_20]) ).
tff(c_318174,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_318169,c_277821]) ).
tff(c_318188,plain,
op(op(e3,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_318174,c_194]) ).
tff(c_318250,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_318238,c_318201,c_318188]) ).
tff(c_318251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_318250]) ).
tff(c_318252,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_318168]) ).
tff(c_318254,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_318252]) ).
tff(c_318261,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_318254,c_284]) ).
tff(c_318384,plain,
( ( e3 = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_318254,c_142]) ).
tff(c_318385,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_308211,c_279932,c_406,c_318384]) ).
tff(c_317676,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_84]) ).
tff(c_317677,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_410,c_317676]) ).
tff(c_317678,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_317677]) ).
tff(c_315900,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_315893,c_224]) ).
tff(c_317247,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_104]) ).
tff(c_317248,plain,
( ( op(e4,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_279929,c_412,c_315900,c_317247]) ).
tff(c_317249,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_317248]) ).
tff(c_317251,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_317249,c_311458]) ).
tff(c_317262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308211,c_317251]) ).
tff(c_317263,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_317248]) ).
tff(c_315908,plain,
( ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e1) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,e2) != e1 )
| ( op(e4,op(e4,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_315893,c_311457]) ).
tff(c_315909,plain,
op(e4,op(e4,e2)) != e2,
inference(splitLeft,[status(thm)],[c_315908]) ).
tff(c_317265,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_317263,c_315909]) ).
tff(c_317277,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_317265]) ).
tff(c_317278,plain,
( ( op(e4,e2) != e1 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,e1) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(splitRight,[status(thm)],[c_315908]) ).
tff(c_317471,plain,
op(e0,op(e0,e3)) != e3,
inference(splitLeft,[status(thm)],[c_317278]) ).
tff(c_317679,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_317678,c_317471]) ).
tff(c_317472,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_317469]) ).
tff(c_317479,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_317472,c_356]) ).
tff(c_317608,plain,
( ( e4 = e0 )
| ( e1 = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_315893,c_279666,c_68]) ).
tff(c_317609,plain,
( ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_420,c_414,c_317608]) ).
tff(c_317610,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_317609]) ).
tff(c_317612,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_317610,c_308205]) ).
tff(c_317621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_317479,c_317612]) ).
tff(c_317622,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_317609]) ).
tff(c_317520,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_279666,c_66]) ).
tff(c_317521,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_408,c_317520]) ).
tff(c_317522,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_317521]) ).
tff(c_317540,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_317522,c_308201,c_279666,c_70]) ).
tff(c_317541,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_418,c_414,c_317540]) ).
tff(c_317542,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_317541]) ).
tff(c_317279,plain,
op(e4,op(e4,e2)) = e2,
inference(splitRight,[status(thm)],[c_315908]) ).
tff(c_317544,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_317542,c_317279]) ).
tff(c_317552,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_317522,c_317544]) ).
tff(c_317554,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_317552]) ).
tff(c_317555,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_317541]) ).
tff(c_317561,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_317555,c_291380]) ).
tff(c_317568,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_317522,c_317561]) ).
tff(c_317570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_317568]) ).
tff(c_317571,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_317521]) ).
tff(c_317573,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_317571]) ).
tff(c_315894,plain,
op(e1,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_315893,c_154]) ).
tff(c_317574,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_317573,c_315894]) ).
tff(c_317585,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_317574]) ).
tff(c_317587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_317585]) ).
tff(c_317588,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_317571]) ).
tff(c_317591,plain,
op(op(e2,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_317588,c_156]) ).
tff(c_317624,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_317622,c_317591]) ).
tff(c_317641,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_317624,c_277821]) ).
tff(c_317650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_315892,c_317641]) ).
tff(c_317651,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_317469]) ).
tff(c_317661,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_317651,c_376]) ).
tff(c_317912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233155,c_291389,c_308211,c_317679,c_317661,c_48]) ).
tff(c_317913,plain,
( ( op(e2,e3) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_317677]) ).
tff(c_317915,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_317913]) ).
tff(c_317916,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_317915,c_315894]) ).
tff(c_317927,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_317916]) ).
tff(c_317929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_317927]) ).
tff(c_317930,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_317913]) ).
tff(c_317937,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_317930,c_256]) ).
tff(c_317954,plain,
( ( e4 = e0 )
| ( e1 = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_315893,c_279666,c_68]) ).
tff(c_317955,plain,
( ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_420,c_414,c_317954]) ).
tff(c_317956,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_317955]) ).
tff(c_317957,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_317956,c_308203]) ).
tff(c_317967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_317937,c_317957]) ).
tff(c_317968,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_317955]) ).
tff(c_317976,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_317968,c_248]) ).
tff(c_317658,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_317651,c_366]) ).
tff(c_318078,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_317976,c_291383,c_279934,c_317658,c_28]) ).
tff(c_317995,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_122]) ).
tff(c_317996,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_279930,c_317995]) ).
tff(c_317997,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_317996]) ).
tff(c_318052,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_317997,c_291381,c_114]) ).
tff(c_318053,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_279669,c_318052]) ).
tff(c_318054,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_318053]) ).
tff(c_318056,plain,
op(e4,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_318054,c_178]) ).
tff(c_318079,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_318078,c_318056]) ).
tff(c_318088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308202,c_318079]) ).
tff(c_318089,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_318053]) ).
tff(c_317655,plain,
op(e4,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_317651,c_184]) ).
tff(c_318092,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_318089,c_317655]) ).
tff(c_318103,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_318092,c_279666]) ).
tff(c_318105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_318103]) ).
tff(c_318106,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_317996]) ).
tff(c_318108,plain,
op(e1,e4) = e2,
inference(splitLeft,[status(thm)],[c_318106]) ).
tff(c_318111,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_318108,c_308205]) ).
tff(c_318118,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_318111]) ).
tff(c_318120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_318118]) ).
tff(c_318121,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_318106]) ).
tff(c_317656,plain,
op(op(e1,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_317651,c_168]) ).
tff(c_318126,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_318121,c_317656]) ).
tff(c_318134,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_317968,c_318126]) ).
tff(c_318136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_318134]) ).
tff(c_318138,plain,
op(e0,op(e0,e3)) = e3,
inference(splitRight,[status(thm)],[c_317278]) ).
tff(c_318386,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_318385,c_318138]) ).
tff(c_318397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_318261,c_318386]) ).
tff(c_318398,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_318252]) ).
tff(c_318418,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_318398,c_311458]) ).
tff(c_318433,plain,
op(e2,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_318418,c_170]) ).
tff(c_318476,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_318474,c_318433]) ).
tff(c_318484,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_318476]) ).
tff(c_318486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_318484]) ).
tff(c_318487,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_317469]) ).
tff(c_318494,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_318487,c_366]) ).
tff(c_318137,plain,
( ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e1) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,e2) != e1 ) ),
inference(splitRight,[status(thm)],[c_317278]) ).
tff(c_318503,plain,
( ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,e2) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_318487,c_315893,c_318487,c_318137]) ).
tff(c_318504,plain,
op(e4,e2) != e1,
inference(splitLeft,[status(thm)],[c_318503]) ).
tff(c_319001,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308201,c_279666,c_66]) ).
tff(c_319002,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_318504,c_408,c_319001]) ).
tff(c_319003,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_319002]) ).
tff(c_318488,plain,
op(e3,e2) != e4,
inference(splitRight,[status(thm)],[c_317469]) ).
tff(c_318542,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_318543,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_279732,c_318542]) ).
tff(c_318544,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_318543]) ).
tff(c_318515,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_118]) ).
tff(c_318516,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_279761,c_318515]) ).
tff(c_318517,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_318516]) ).
tff(c_318519,plain,
op(op(e0,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_318517,c_190]) ).
tff(c_318546,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_318544,c_318519]) ).
tff(c_318577,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_318546,c_279728]) ).
tff(c_318579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_318577]) ).
tff(c_318580,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_318543]) ).
tff(c_318582,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_318580]) ).
tff(c_318589,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_318582,c_284]) ).
tff(c_318671,plain,
( ( e3 = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_318582,c_142]) ).
tff(c_318672,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_308211,c_279932,c_406,c_318671]) ).
tff(c_318673,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_318672,c_318138]) ).
tff(c_318683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_318589,c_318673]) ).
tff(c_318684,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_318580]) ).
tff(c_318702,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_318684,c_311458]) ).
tff(c_318726,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_318702,c_340]) ).
tff(c_318762,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_318517,c_291381,c_122]) ).
tff(c_318763,plain,
op(e1,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_406,c_412,c_279930,c_318726,c_318762]) ).
tff(c_318766,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_318763,c_308205]) ).
tff(c_318773,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_318766]) ).
tff(c_318775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_318773]) ).
tff(c_318776,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_318516]) ).
tff(c_318778,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_318776]) ).
tff(c_318780,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_318778,c_308205]) ).
tff(c_318789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_318488,c_318780]) ).
tff(c_318790,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_318776]) ).
tff(c_318797,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_318790,c_360]) ).
tff(c_318814,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_318797,c_46]) ).
tff(c_318815,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_318814]) ).
tff(c_318817,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_318815,c_311458]) ).
tff(c_318828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308211,c_318817]) ).
tff(c_318829,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_318814]) ).
tff(c_318833,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_318829,c_311458]) ).
tff(c_318849,plain,
op(e2,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_318833,c_160]) ).
tff(c_319005,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_319003,c_318849]) ).
tff(c_319014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_318494,c_319005]) ).
tff(c_319015,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_319002]) ).
tff(c_319017,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_319015,c_315894]) ).
tff(c_319028,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_291381,c_319017]) ).
tff(c_319030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_319028]) ).
tff(c_319032,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_318503]) ).
tff(c_319066,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_252828,c_315901,c_279730,c_317470,c_20]) ).
tff(c_319409,plain,
( ( op(e4,e0) = e4 )
| ( e4 = e2 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_319066,c_132]) ).
tff(c_319410,plain,
( ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_279784,c_319409]) ).
tff(c_319411,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_319410]) ).
tff(c_319420,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_319411,c_392]) ).
tff(c_319456,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_94]) ).
tff(c_319457,plain,
op(e2,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_319420,c_318494,c_404,c_279664,c_319456]) ).
tff(c_319436,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_315900,c_279935,c_279729,c_318488,c_16]) ).
tff(c_319440,plain,
op(op(e2,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319436,c_166]) ).
tff(c_319458,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319457,c_319440]) ).
tff(c_319355,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_319032,c_96]) ).
tff(c_319356,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_279729,c_410,c_319355]) ).
tff(c_319357,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_319356]) ).
tff(c_319359,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_319357,c_311458]) ).
tff(c_319069,plain,
op(op(e0,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319066,c_170]) ).
tff(c_319373,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319359,c_319069]) ).
tff(c_319383,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_319373]) ).
tff(c_319385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_319383]) ).
tff(c_319386,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_319356]) ).
tff(c_319091,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_80]) ).
tff(c_319092,plain,
( ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_279936,c_406,c_308202,c_319091]) ).
tff(c_319093,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_319092]) ).
tff(c_319094,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319093,c_319069]) ).
tff(c_319105,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_319094]) ).
tff(c_319107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_319105]) ).
tff(c_319109,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_319092]) ).
tff(c_319216,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_319217,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_308211,c_279932,c_319109,c_319216]) ).
tff(c_319031,plain,
( ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_318503]) ).
tff(c_319081,plain,
( ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e2) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_319066,c_319031]) ).
tff(c_319082,plain,
op(e0,op(e0,e4)) != e4,
inference(splitLeft,[status(thm)],[c_319081]) ).
tff(c_319219,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_319217,c_319082]) ).
tff(c_319108,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_319092]) ).
tff(c_319161,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_319108,c_279728,c_72]) ).
tff(c_319162,plain,
( ( op(e2,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_402,c_279790,c_319161]) ).
tff(c_319163,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_319162]) ).
tff(c_319165,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319163,c_319069]) ).
tff(c_319175,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_319032,c_319165]) ).
tff(c_319177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_319175]) ).
tff(c_319178,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_319162]) ).
tff(c_319186,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_319178,c_256]) ).
tff(c_319245,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_319032,c_108]) ).
tff(c_319246,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_420,c_319245]) ).
tff(c_319247,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_319246]) ).
tff(c_318492,plain,
op(op(e1,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_318487,c_168]) ).
tff(c_319111,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319108,c_318492]) ).
tff(c_319145,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_319111,c_110]) ).
tff(c_319146,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_418,c_416,c_319145]) ).
tff(c_319147,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_319146]) ).
tff(c_319150,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_319147,c_186]) ).
tff(c_319248,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_319247,c_319150]) ).
tff(c_319256,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_319248]) ).
tff(c_319258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_319256]) ).
tff(c_319259,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_319246]) ).
tff(c_319182,plain,
op(e4,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319178,c_166]) ).
tff(c_319262,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319259,c_319182]) ).
tff(c_319289,plain,
( ( e4 = e3 )
| ( e4 = e2 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_319066,c_319262,c_132]) ).
tff(c_319290,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_319186,c_404,c_402,c_319289]) ).
tff(c_319297,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_319290,c_278]) ).
tff(c_319314,plain,
( ( e4 = e1 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_319259,c_319032,c_92]) ).
tff(c_319315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_319219,c_319297,c_404,c_414,c_408,c_319314]) ).
tff(c_319317,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_319146]) ).
tff(c_319132,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_319111,c_248]) ).
tff(c_319340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_319317,c_291383,c_279934,c_319132,c_318494,c_28]) ).
tff(c_319341,plain,
( ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,e2) != e0 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(splitRight,[status(thm)],[c_319081]) ).
tff(c_319426,plain,
( ( op(e1,e4) != e0 )
| ( op(e1,e3) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,e2) != e0 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_319386,c_319411,c_319341]) ).
tff(c_319427,plain,
op(e4,op(e4,e0)) != e0,
inference(splitLeft,[status(thm)],[c_319426]) ).
tff(c_319474,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_319458,c_319427]) ).
tff(c_319526,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_319458,c_308201,c_319032,c_279666,c_70]) ).
tff(c_319527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_418,c_420,c_319474,c_414,c_319526]) ).
tff(c_319528,plain,
( ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,e2) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e3) != e2 )
| ( op(e1,e4) != e0 ) ),
inference(splitRight,[status(thm)],[c_319426]) ).
tff(c_319542,plain,
op(e1,e4) != e0,
inference(splitLeft,[status(thm)],[c_319528]) ).
tff(c_319037,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_319032,c_206]) ).
tff(c_319543,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_319037,c_308202,c_279789,c_279790,c_4]) ).
tff(c_315895,plain,
op(op(e4,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_315893,c_162]) ).
tff(c_319546,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319543,c_315895]) ).
tff(c_319565,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_319546,c_277821]) ).
tff(c_319568,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_319546,c_288]) ).
tff(c_319394,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_319386,c_264]) ).
tff(c_319630,plain,
( ( e4 = e3 )
| ( e3 = e1 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_315893,c_279666,c_56]) ).
tff(c_319631,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_319568,c_319394,c_410,c_402,c_319630]) ).
tff(c_319035,plain,
op(e1,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_319032,c_172]) ).
tff(c_319633,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_319631,c_319035]) ).
tff(c_319719,plain,
( ( e4 = e0 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_319565,c_319633,c_279728,c_319543,c_72]) ).
tff(c_319720,plain,
op(e2,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_402,c_414,c_319719]) ).
tff(c_319687,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_315900,c_279935,c_279729,c_318488,c_16]) ).
tff(c_319690,plain,
op(e0,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_319687,c_174]) ).
tff(c_319722,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_319720,c_319690]) ).
tff(c_319342,plain,
op(e0,op(e0,e4)) = e4,
inference(splitRight,[status(thm)],[c_319081]) ).
tff(c_319735,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_319722,c_319342]) ).
tff(c_319548,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319543,c_291380]) ).
tff(c_319584,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_319548,c_384]) ).
tff(c_319665,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_164529,c_279931,c_319584,c_319420,c_30]) ).
tff(c_319668,plain,
op(e1,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319665,c_196]) ).
tff(c_319748,plain,
op(e1,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319735,c_319668]) ).
tff(c_319756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_319542,c_319748]) ).
tff(c_319758,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_319528]) ).
tff(c_319761,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_319758,c_308205]) ).
tff(c_319786,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_319761,c_311458]) ).
tff(c_319931,plain,
( ( e2 = e1 )
| ( op(e0,e3) = e1 )
| ( e4 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_319761,c_319786,c_146]) ).
tff(c_319932,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_291389,c_408,c_412,c_319931]) ).
tff(c_319937,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319932,c_318138]) ).
tff(c_319416,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319411,c_198]) ).
tff(c_319963,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319937,c_319416]) ).
tff(c_319982,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319963,c_291380]) ).
tff(c_319800,plain,
op(e2,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_319786,c_160]) ).
tff(c_319994,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_319982,c_319800]) ).
tff(c_319070,plain,
op(e2,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319066,c_194]) ).
tff(c_319936,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319932,c_319070]) ).
tff(c_319760,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_319758,c_308203]) ).
tff(c_319799,plain,
op(op(e4,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319786,c_192]) ).
tff(c_319995,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319982,c_319799]) ).
tff(c_318497,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_318487,c_376]) ).
tff(c_319828,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_233155,c_291389,c_308211,c_318497,c_48]) ).
tff(c_319829,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319828,c_319416]) ).
tff(c_319879,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_319829,c_291380]) ).
tff(c_319892,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_319879,c_319799]) ).
tff(c_319757,plain,
( ( op(e1,e3) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,e2) != e0 )
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_319528]) ).
tff(c_319822,plain,
( ( op(e1,e3) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e2,e1) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,e2) != e0 )
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_319760,c_319411,c_319758,c_319757]) ).
tff(c_319823,plain,
op(e3,op(e3,e2)) != e2,
inference(splitLeft,[status(thm)],[c_319822]) ).
tff(c_319915,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_319892,c_319823]) ).
tff(c_319922,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_319066,c_319915]) ).
tff(c_319923,plain,
( ( op(e3,e2) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,e1) != e0 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e3) != e2 ) ),
inference(splitRight,[status(thm)],[c_319822]) ).
tff(c_320041,plain,
( ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,e4) != e3 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,e3) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_319936,c_319760,c_319936,c_319994,c_319995,c_319923]) ).
tff(c_320042,plain,
op(e1,e3) != e2,
inference(splitLeft,[status(thm)],[c_320041]) ).
tff(c_320061,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_319932,c_319994,c_279728,c_319963,c_80]) ).
tff(c_320062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_320042,c_404,c_406,c_418,c_320061]) ).
tff(c_320064,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_320041]) ).
tff(c_320068,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320064,c_318492]) ).
tff(c_320063,plain,
( ( op(e1,op(e1,e3)) != e3 )
| ( op(e2,e4) != e3 )
| ( op(e2,op(e2,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_320041]) ).
tff(c_320089,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_319994,c_320068,c_320068,c_319386,c_320064,c_320063]) ).
tff(c_320090,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_319410]) ).
tff(c_320097,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_320090,c_256]) ).
tff(c_320115,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_279728,c_72]) ).
tff(c_320116,plain,
( ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_320097,c_402,c_279790,c_320115]) ).
tff(c_320117,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_320116]) ).
tff(c_320118,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320117,c_319069]) ).
tff(c_320129,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_319032,c_320118]) ).
tff(c_320131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_320129]) ).
tff(c_320132,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_320116]) ).
tff(c_320135,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320132,c_318492]) ).
tff(c_320147,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320135,c_279666]) ).
tff(c_320149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_320147]) ).
tff(c_320150,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_315891]) ).
tff(c_320427,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_46]) ).
tff(c_320428,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_320427]) ).
tff(c_320429,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320428,c_311458]) ).
tff(c_320441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308211,c_320429]) ).
tff(c_320442,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_320427]) ).
tff(c_320460,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_320442]) ).
tff(c_320462,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320460,c_311458]) ).
tff(c_320482,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_320462,c_282]) ).
tff(c_320469,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_320460,c_286]) ).
tff(c_320580,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_252838,c_320482,c_279732,c_320469,c_44]) ).
tff(c_320263,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_279932,c_46]) ).
tff(c_320264,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_320263]) ).
tff(c_320265,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320264,c_311458]) ).
tff(c_320277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308211,c_320265]) ).
tff(c_320278,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_320263]) ).
tff(c_320280,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_320278]) ).
tff(c_320282,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320280,c_311458]) ).
tff(c_320176,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_303016,c_279784,c_10]) ).
tff(c_320177,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_320176]) ).
tff(c_320179,plain,
op(e1,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_320177,c_192]) ).
tff(c_320297,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_320282,c_320179]) ).
tff(c_320290,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_320280,c_292]) ).
tff(c_320353,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_233155,c_291389,c_308211,c_320290,c_48]) ).
tff(c_320359,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_320353,c_277821]) ).
tff(c_320187,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_320177,c_382]) ).
tff(c_320232,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_320187,c_279730,c_20]) ).
tff(c_320233,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_320232]) ).
tff(c_320235,plain,
op(op(e0,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320233,c_170]) ).
tff(c_320371,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320359,c_320235]) ).
tff(c_320377,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_320297,c_320371]) ).
tff(c_320379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_320377]) ).
tff(c_320380,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_320278]) ).
tff(c_320383,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320380,c_311458]) ).
tff(c_320400,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320383,c_320235]) ).
tff(c_320408,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_279928,c_320400]) ).
tff(c_320410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_320408]) ).
tff(c_320411,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_320232]) ).
tff(c_320415,plain,
op(e4,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_320411,c_194]) ).
tff(c_320583,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_320580,c_320415]) ).
tff(c_320594,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_320583,c_308201]) ).
tff(c_320596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_320594]) ).
tff(c_320597,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_320442]) ).
tff(c_320600,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320597,c_311458]) ).
tff(c_320414,plain,
op(op(e0,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320411,c_170]) ).
tff(c_320617,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320600,c_320414]) ).
tff(c_320625,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_320150,c_320617]) ).
tff(c_320627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_320625]) ).
tff(c_320628,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_320176]) ).
tff(c_320687,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_320628,c_308201,c_279666,c_70]) ).
tff(c_320688,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_418,c_414,c_320687]) ).
tff(c_320689,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_320688]) ).
tff(c_320153,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320150,c_172]) ).
tff(c_320692,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320689,c_320153]) ).
tff(c_320701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_308211,c_320692]) ).
tff(c_320702,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_320688]) ).
tff(c_320155,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_320150,c_254]) ).
tff(c_320645,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( e1 = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_320150,c_279666,c_68]) ).
tff(c_320646,plain,
( ( op(e3,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_420,c_414,c_320645]) ).
tff(c_320647,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_320646]) ).
tff(c_320648,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_320647,c_308203]) ).
tff(c_320658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320155,c_320648]) ).
tff(c_320659,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_320646]) ).
tff(c_320663,plain,
op(op(e4,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320659,c_162]) ).
tff(c_320704,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_320702,c_320663]) ).
tff(c_320713,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_320704]) ).
tff(c_320715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_320713]) ).
tff(c_320717,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_279727]) ).
tff(c_320866,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_320756,c_320717,c_255415]) ).
tff(c_320876,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_320866,c_246]) ).
tff(c_320889,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_320866,c_279663]) ).
tff(c_320890,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_320876,c_406,c_320889]) ).
tff(c_320896,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_320890,c_252]) ).
tff(c_320916,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_320876,c_279725]) ).
tff(c_320917,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_320916]) ).
tff(c_320892,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320890,c_178]) ).
tff(c_320918,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320917,c_320892]) ).
tff(c_320932,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_320918,c_320918,c_188]) ).
tff(c_320940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320896,c_320932]) ).
tff(c_320941,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_320916]) ).
tff(c_320867,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320866,c_174]) ).
tff(c_320943,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_320941,c_320941,c_320867]) ).
tff(c_320954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_320943]) ).
tff(c_320956,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_321335,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_321389,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_321335,c_320957,c_158]) ).
tff(c_321390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320956,c_321389]) ).
tff(c_321391,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_321559,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_321506,c_321391]) ).
tff(c_321560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_321489,c_412,c_321473,c_321559]) ).
tff(c_321561,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_321505]) ).
tff(c_321571,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_321561,c_344]) ).
tff(c_321472,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_321470,c_322]) ).
tff(c_320955,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_321576,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_320957,c_320955]) ).
tff(c_321577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_321571,c_321472,c_321576]) ).
tff(c_321578,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_321487]) ).
tff(c_321587,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_321578,c_344]) ).
tff(c_321620,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_320957,c_320955]) ).
tff(c_321621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_321587,c_321472,c_321620]) ).
tff(c_321622,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_321469]) ).
tff(c_321630,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_321622,c_246]) ).
tff(c_321636,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_321622,c_279663]) ).
tff(c_321637,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_321630,c_406,c_321636]) ).
tff(c_321642,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_321637,c_252]) ).
tff(c_321658,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_321630,c_321421]) ).
tff(c_321659,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_321658]) ).
tff(c_321672,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_321659,c_321637,c_178]) ).
tff(c_321673,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_321672,c_321672,c_188]) ).
tff(c_321682,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_321642,c_321673]) ).
tff(c_321683,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_321658]) ).
tff(c_321752,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_321622,c_321683,c_321622,c_166]) ).
tff(c_321753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_321752]) ).
tff(c_321754,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_322939,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322839,c_321754]) ).
tff(c_322940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322840,c_412,c_322820,c_322939]) ).
tff(c_322941,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_322838]) ).
tff(c_322950,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_322941,c_344]) ).
tff(c_322830,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_322817,c_322]) ).
tff(c_323019,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_322950,c_322830,c_320955]) ).
tff(c_322961,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_322805,c_158]) ).
tff(c_323020,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_323019,c_323019,c_322961]) ).
tff(c_323031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_323020]) ).
tff(c_323033,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_322816]) ).
tff(c_323509,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_323033,c_255415]) ).
tff(c_323510,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_323509]) ).
tff(c_323562,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_323510,c_320955]) ).
tff(c_323563,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_323562]) ).
tff(c_323564,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_323563]) ).
tff(c_323042,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_322805,c_158]) ).
tff(c_323565,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_323564,c_323564,c_323042]) ).
tff(c_323575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_323565]) ).
tff(c_323576,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_323563]) ).
tff(c_323583,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_323576,c_344]) ).
tff(c_321756,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_320956,c_50475]) ).
tff(c_321757,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_321756]) ).
tff(c_321762,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_321757,c_222]) ).
tff(c_322114,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_321762,c_255415]) ).
tff(c_322115,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_322114]) ).
tff(c_322186,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_321757,c_321757,c_322115,c_154]) ).
tff(c_322187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_322186]) ).
tff(c_322188,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_322114]) ).
tff(c_321782,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_321757,c_252827]) ).
tff(c_321783,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_321762,c_321782]) ).
tff(c_321784,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_321783]) ).
tff(c_321787,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_321784,c_346]) ).
tff(c_321796,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( op(e4,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_321784,c_130109]) ).
tff(c_321797,plain,
( ( op(e1,e2) = e1 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_321787,c_321796]) ).
tff(c_321798,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_321797]) ).
tff(c_321818,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_321798,c_206]) ).
tff(c_321830,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_321787,c_279663]) ).
tff(c_321831,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_321830]) ).
tff(c_321837,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_321831,c_364]) ).
tff(c_321873,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_321798,c_320955]) ).
tff(c_321874,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_321837,c_404,c_321873]) ).
tff(c_321824,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_321757,c_162]) ).
tff(c_321876,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_321874,c_321824]) ).
tff(c_321885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_321762,c_321876]) ).
tff(c_321886,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_321830]) ).
tff(c_321904,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_321886,c_255415]) ).
tff(c_321905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_321818,c_321762,c_406,c_321904]) ).
tff(c_321906,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_321797]) ).
tff(c_321913,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_321906,c_272]) ).
tff(c_321760,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_321757,c_228]) ).
tff(c_321927,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_321787,c_279663]) ).
tff(c_321928,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_321927]) ).
tff(c_321980,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_321928,c_321754]) ).
tff(c_321981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_321913,c_412,c_321760,c_321980]) ).
tff(c_321982,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_321927]) ).
tff(c_322001,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_321982,c_255415]) ).
tff(c_322002,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_321762,c_406,c_322001]) ).
tff(c_322028,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_322002,c_322002,c_321757,c_162]) ).
tff(c_322029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_322028]) ).
tff(c_322030,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_321783]) ).
tff(c_322034,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_322030,c_366]) ).
tff(c_322190,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_322034,c_279663]) ).
tff(c_322191,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_322190]) ).
tff(c_322198,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_322191,c_246]) ).
tff(c_322214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322198,c_322188]) ).
tff(c_322215,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_322190]) ).
tff(c_322240,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_322188,c_322215]) ).
tff(c_322241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_322240]) ).
tff(c_322242,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_321756]) ).
tff(c_323659,plain,
( ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322805,c_322242]) ).
tff(c_323660,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_323659]) ).
tff(c_323635,plain,
op(e2,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_323576,c_172]) ).
tff(c_323661,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_323660,c_323635]) ).
tff(c_323671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_323583,c_323661]) ).
tff(c_323672,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_323509]) ).
tff(c_323678,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_323672,c_242]) ).
tff(c_323810,plain,
( ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322805,c_322242]) ).
tff(c_323811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_323678,c_323810]) ).
tff(c_323812,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_325790,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_323812]) ).
tff(c_325798,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_325790,c_370]) ).
tff(c_325795,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_325790,c_272]) ).
tff(c_325796,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_325790,c_368]) ).
tff(c_325842,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_325796,c_320955]) ).
tff(c_325843,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_325842]) ).
tff(c_325851,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_325843,c_344]) ).
tff(c_322244,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_322557,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_322244,c_206]) ).
tff(c_322567,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_322557,c_255415]) ).
tff(c_322568,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_322567]) ).
tff(c_322569,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_322568,c_326]) ).
tff(c_322585,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_322569,c_279663]) ).
tff(c_322586,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_322585]) ).
tff(c_322587,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_322586,c_372]) ).
tff(c_322574,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_322568,c_230]) ).
tff(c_322599,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322586,c_321754]) ).
tff(c_322600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322587,c_412,c_322574,c_322599]) ).
tff(c_322601,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_322585]) ).
tff(c_322608,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_322601,c_252]) ).
tff(c_322615,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_322608,c_322574,c_321754]) ).
tff(c_322621,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_322615,c_368]) ).
tff(c_322570,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_322568,c_322]) ).
tff(c_322645,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322244,c_320955]) ).
tff(c_322646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322621,c_404,c_322570,c_322645]) ).
tff(c_322648,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_322567]) ).
tff(c_322647,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_322567]) ).
tff(c_322655,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_322647,c_246]) ).
tff(c_322661,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322647,c_279663]) ).
tff(c_322662,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_322655,c_406,c_322661]) ).
tff(c_322663,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_322662,c_372]) ).
tff(c_322676,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322662,c_321754]) ).
tff(c_322677,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_322663,c_412,c_322676]) ).
tff(c_322253,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_322369,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_322244,c_206]) ).
tff(c_322371,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_322369,c_255415]) ).
tff(c_322372,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_322371]) ).
tff(c_322373,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_322372,c_326]) ).
tff(c_322393,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_322373,c_279663]) ).
tff(c_322394,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_322393]) ).
tff(c_322395,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_322394,c_372]) ).
tff(c_322379,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_322372,c_230]) ).
tff(c_322407,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322394,c_321754]) ).
tff(c_322408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322395,c_412,c_322379,c_322407]) ).
tff(c_322409,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_322393]) ).
tff(c_322416,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_322409,c_252]) ).
tff(c_322423,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_322416,c_322379,c_321754]) ).
tff(c_322429,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_322423,c_368]) ).
tff(c_322374,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_322372,c_322]) ).
tff(c_322449,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322244,c_320955]) ).
tff(c_322450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322429,c_404,c_322374,c_322449]) ).
tff(c_322451,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_322371]) ).
tff(c_322459,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_322451,c_246]) ).
tff(c_322465,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322451,c_279663]) ).
tff(c_322466,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_322459,c_406,c_322465]) ).
tff(c_322471,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_322466,c_364]) ).
tff(c_322513,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322244,c_320955]) ).
tff(c_322514,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_322471,c_404,c_322513]) ).
tff(c_322531,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_322253,c_322514,c_322253,c_162]) ).
tff(c_322532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_322531]) ).
tff(c_322533,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_322746,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_322677,c_322533]) ).
tff(c_322747,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_322648,c_322746]) ).
tff(c_322737,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_322647,c_166]) ).
tff(c_322748,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_322747,c_322737]) ).
tff(c_322801,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_322748,c_322747,c_322647,c_174]) ).
tff(c_322802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_322801]) ).
tff(c_322803,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_325858,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_325795,c_325851,c_322803]) ).
tff(c_325866,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_325858,c_226]) ).
tff(c_324197,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_323812]) ).
tff(c_324203,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_324197,c_368]) ).
tff(c_324242,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_324203,c_320955]) ).
tff(c_324243,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_324242]) ).
tff(c_324251,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_324243,c_344]) ).
tff(c_324096,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_322803]) ).
tff(c_324103,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_324096,c_272]) ).
tff(c_324164,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_324096,c_323812]) ).
tff(c_324165,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_324103,c_412,c_324164]) ).
tff(c_324166,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_324165,c_330]) ).
tff(c_324128,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_324103,c_321754]) ).
tff(c_324129,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_324128]) ).
tff(c_324160,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_324096,c_324129,c_324096,c_178]) ).
tff(c_324161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_324160]) ).
tff(c_324162,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_324128]) ).
tff(c_324193,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_324162,c_324165,c_168]) ).
tff(c_324194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324166,c_324193]) ).
tff(c_324195,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_322803]) ).
tff(c_324294,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_324251,c_324195]) ).
tff(c_324303,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_324294,c_226]) ).
tff(c_323997,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_279663]) ).
tff(c_323998,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_323997,c_372]) ).
tff(c_324010,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_323998,c_323812]) ).
tff(c_324011,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_324010]) ).
tff(c_324015,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_324011,c_352]) ).
tff(c_324024,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_323997,c_321754]) ).
tff(c_324025,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_323998,c_412,c_324024]) ).
tff(c_324030,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_324025,c_232]) ).
tff(c_324061,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_324011,c_322803]) ).
tff(c_324062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_324015,c_324030,c_324061]) ).
tff(c_324063,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_324010]) ).
tff(c_324065,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_324063,c_330]) ).
tff(c_324078,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_323997,c_321754]) ).
tff(c_324079,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_323998,c_412,c_324078]) ).
tff(c_324092,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_324079,c_324063,c_168]) ).
tff(c_324093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324065,c_324092]) ).
tff(c_324094,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_279663]) ).
tff(c_324321,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_324251,c_324094]) ).
tff(c_324296,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_324294,c_166]) ).
tff(c_324323,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_324321,c_324296]) ).
tff(c_324333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324303,c_324323]) ).
tff(c_324334,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_324242]) ).
tff(c_323814,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_324212,plain,
op(op(e4,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_323814,c_162]) ).
tff(c_324336,plain,
op(e3,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_324334,c_324212]) ).
tff(c_324353,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_324336,c_323814]) ).
tff(c_324355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_324353]) ).
tff(c_324357,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_323812]) ).
tff(c_324371,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_324357,c_321754]) ).
tff(c_324372,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_324371]) ).
tff(c_324377,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_324372,c_252]) ).
tff(c_324445,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_324377,c_324195]) ).
tff(c_324453,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_324445,c_226]) ).
tff(c_324468,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_324377,c_324094]) ).
tff(c_324447,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_324445,c_166]) ).
tff(c_324470,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_324468,c_324447]) ).
tff(c_324480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324453,c_324470]) ).
tff(c_324481,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_324371]) ).
tff(c_324487,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_324481,c_232]) ).
tff(c_324704,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_324487,c_324195]) ).
tff(c_324712,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_324704,c_246]) ).
tff(c_324488,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_324481,c_230]) ).
tff(c_323834,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_255415]) ).
tff(c_323920,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_323814,c_323834,c_162]) ).
tff(c_323993,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_323920,c_323814,c_323834,c_154]) ).
tff(c_323994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_323993]) ).
tff(c_323995,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_255415]) ).
tff(c_324736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324712,c_324488,c_323995]) ).
tff(c_324737,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_325885,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_325858,c_324737]) ).
tff(c_325886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325798,c_406,c_325866,c_325885]) ).
tff(c_325887,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_325842]) ).
tff(c_325896,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_325887,c_322]) ).
tff(c_325904,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_325795,c_322803]) ).
tff(c_325905,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_325904]) ).
tff(c_325911,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_325905,c_346]) ).
tff(c_325918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325798,c_325911,c_325896,c_324737]) ).
tff(c_325919,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_325904]) ).
tff(c_325939,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_325919,c_324737]) ).
tff(c_325940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325798,c_406,c_325896,c_325939]) ).
tff(c_325942,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_323812]) ).
tff(c_325975,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_325942,c_321754]) ).
tff(c_325976,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_325975]) ).
tff(c_325982,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_325976,c_250]) ).
tff(c_325981,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_325976,c_252]) ).
tff(c_326014,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_325981,c_322803]) ).
tff(c_326015,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_326014]) ).
tff(c_326036,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_325976,c_326015,c_325976,c_186]) ).
tff(c_326037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_326036]) ).
tff(c_326038,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_326014]) ).
tff(c_326069,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_326038,c_226]) ).
tff(c_324745,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_255415]) ).
tff(c_325315,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_324745,c_320955]) ).
tff(c_325316,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_325315]) ).
tff(c_325317,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_325316]) ).
tff(c_325320,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_325317,c_208]) ).
tff(c_325010,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_323812]) ).
tff(c_325016,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_325010,c_368]) ).
tff(c_325062,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_324745,c_320955]) ).
tff(c_325063,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_325016,c_402,c_325062]) ).
tff(c_325070,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_325063,c_344]) ).
tff(c_325013,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_325010,c_268]) ).
tff(c_325148,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_325013,c_322242]) ).
tff(c_325064,plain,
op(e2,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_325063,c_172]) ).
tff(c_325150,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_325148,c_325064]) ).
tff(c_325161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325070,c_325150]) ).
tff(c_325163,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_323812]) ).
tff(c_325186,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_325163,c_321754]) ).
tff(c_325187,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_325186]) ).
tff(c_325192,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_325187,c_252]) ).
tff(c_325233,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_325192,c_322803]) ).
tff(c_325234,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_325233]) ).
tff(c_325251,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_325187,c_325234,c_325187,c_186]) ).
tff(c_325252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_325251]) ).
tff(c_325253,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_325233]) ).
tff(c_325263,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_325253,c_226]) ).
tff(c_324835,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_324737]) ).
tff(c_324836,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_324835,c_362]) ).
tff(c_324843,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_324835,c_370]) ).
tff(c_324923,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_324843,c_323812]) ).
tff(c_324924,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_324923]) ).
tff(c_324929,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_324924,c_348]) ).
tff(c_324956,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_324745,c_320955]) ).
tff(c_324957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324836,c_324929,c_402,c_324956]) ).
tff(c_324958,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_324923]) ).
tff(c_325005,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_324958,c_324958,c_324835,c_184]) ).
tff(c_325006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_325005]) ).
tff(c_325007,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_324737]) ).
tff(c_325297,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_325253,c_325007]) ).
tff(c_325298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325263,c_406,c_325297]) ).
tff(c_325299,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_325186]) ).
tff(c_325308,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_325299,c_230]) ).
tff(c_325306,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_325299,c_232]) ).
tff(c_325348,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_325306,c_322803]) ).
tff(c_325349,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_325348]) ).
tff(c_325162,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_323812]) ).
tff(c_325437,plain,
( ( e2 = e1 )
| ( op(e1,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_325349,c_325162]) ).
tff(c_325438,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_325437]) ).
tff(c_325301,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_325299,c_168]) ).
tff(c_325440,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_325438,c_325301]) ).
tff(c_325450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325308,c_325440]) ).
tff(c_325451,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_325348]) ).
tff(c_325456,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_325451,c_244]) ).
tff(c_325501,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_325456,c_322242]) ).
tff(c_325319,plain,
op(op(e1,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_325317,c_158]) ).
tff(c_325502,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_325501,c_325319]) ).
tff(c_325516,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_325502,c_325502,c_188]) ).
tff(c_325525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325320,c_325516]) ).
tff(c_325526,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_325316]) ).
tff(c_325533,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_325526,c_344]) ).
tff(c_325540,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_325306,c_322803]) ).
tff(c_325541,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_325540]) ).
tff(c_325544,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_325541,c_264]) ).
tff(c_325583,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_325544,c_322242]) ).
tff(c_325597,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_325583,c_325526,c_172]) ).
tff(c_325598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325533,c_325597]) ).
tff(c_325599,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_325540]) ).
tff(c_325616,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_325599,c_325533]) ).
tff(c_325617,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_255415]) ).
tff(c_326077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325982,c_326069,c_325617]) ).
tff(c_326078,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_325975]) ).
tff(c_326086,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_326078,c_230]) ).
tff(c_326234,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_326078,c_324737]) ).
tff(c_326235,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_326086,c_326234]) ).
tff(c_326084,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_326078,c_232]) ).
tff(c_326121,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_326084,c_322803]) ).
tff(c_326122,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_326121]) ).
tff(c_325941,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_323812]) ).
tff(c_326205,plain,
( ( e2 = e1 )
| ( op(e1,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_326122,c_325941]) ).
tff(c_326206,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_326205]) ).
tff(c_326080,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_326078,c_168]) ).
tff(c_326208,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_326206,c_326080]) ).
tff(c_326218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_326086,c_326208]) ).
tff(c_326219,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_326121]) ).
tff(c_326227,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_326219,c_346]) ).
tff(c_326250,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_326235,c_326227]) ).
tff(c_326252,plain,
op(op(e0,e1),e1) = e0,
inference(splitRight,[status(thm)],[c_255419]) ).
tff(c_387167,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_387163,c_326252]) ).
tff(c_386083,plain,
op(op(e3,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_184]) ).
tff(c_387180,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387167,c_386083]) ).
tff(c_387188,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_387180]) ).
tff(c_387190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_387188]) ).
tff(c_387191,plain,
( ( op(e2,e1) = e3 )
| ( op(e4,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_387162]) ).
tff(c_387193,plain,
op(e4,e1) = e3,
inference(splitLeft,[status(thm)],[c_387191]) ).
tff(c_365881,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_368]) ).
tff(c_386838,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_66]) ).
tff(c_386839,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_384911,c_365881,c_408,c_386838]) ).
tff(c_386840,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_386839]) ).
tff(c_386848,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_386840,c_354]) ).
tff(c_365882,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_380]) ).
tff(c_365788,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_336]) ).
tff(c_386917,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_386918,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365788,c_386917]) ).
tff(c_386919,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_386918]) ).
tff(c_326266,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_326256,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_326329,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_326266,c_326256,c_208]) ).
tff(c_326331,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_327190,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_326256,c_208864]) ).
tff(c_327191,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_326331,c_408,c_327190]) ).
tff(c_327192,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_327191]) ).
tff(c_327272,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_327192,c_322]) ).
tff(c_327414,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327192,c_255415]) ).
tff(c_327415,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_327272,c_327414]) ).
tff(c_327422,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_327415,c_242]) ).
tff(c_326330,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_327439,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_327422,c_326330]) ).
tff(c_327440,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_327439]) ).
tff(c_327361,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_326256,c_158]) ).
tff(c_327441,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_327440,c_327440,c_327361]) ).
tff(c_327452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_327441]) ).
tff(c_327453,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_327439]) ).
tff(c_327387,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_327192,c_162]) ).
tff(c_327455,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_327453,c_327387]) ).
tff(c_327467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_327272,c_327455]) ).
tff(c_327468,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_327191]) ).
tff(c_327473,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_327468,c_344]) ).
tff(c_327672,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_326256,c_210]) ).
tff(c_327472,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_327468,c_348]) ).
tff(c_327042,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_327143,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_326256,c_327042,c_158]) ).
tff(c_327144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_326331,c_327143]) ).
tff(c_327145,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_327681,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_327472,c_327145]) ).
tff(c_327682,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_327681]) ).
tff(c_327688,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_327682,c_372]) ).
tff(c_327685,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_327682,c_268]) ).
tff(c_327703,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_327685,c_326330]) ).
tff(c_327704,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_327703]) ).
tff(c_327708,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_327704,c_242]) ).
tff(c_327726,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_327672,c_327708,c_255415]) ).
tff(c_327727,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_327726,c_326]) ).
tff(c_326332,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_326625,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_326256,c_208864]) ).
tff(c_326626,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_326331,c_408,c_326625]) ).
tff(c_326627,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_326626]) ).
tff(c_326337,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_326332,c_306]) ).
tff(c_326614,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_326337,c_252827]) ).
tff(c_326615,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_326614]) ).
tff(c_326639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_326627,c_326615,c_322]) ).
tff(c_326640,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_326626]) ).
tff(c_326725,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_326332,c_326640,c_326332,c_172]) ).
tff(c_326726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_326725]) ).
tff(c_326728,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_326614]) ).
tff(c_326909,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_326332,c_326330]) ).
tff(c_326910,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_326909]) ).
tff(c_326911,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_326910]) ).
tff(c_326755,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_326256,c_158]) ).
tff(c_326912,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_326911,c_326911,c_326755]) ).
tff(c_326922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_326912]) ).
tff(c_326923,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_326910]) ).
tff(c_326730,plain,
( ( e4 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_326256,c_208864]) ).
tff(c_326731,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_326331,c_408,c_326730]) ).
tff(c_326732,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_326731]) ).
tff(c_326782,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_326732,c_162]) ).
tff(c_326925,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_326923,c_326782]) ).
tff(c_326936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_326728,c_326925]) ).
tff(c_326937,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_326731]) ).
tff(c_327038,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_326937,c_326937,c_326332,c_156]) ).
tff(c_327039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_327038]) ).
tff(c_327040,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_327744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_327688,c_327473,c_327727,c_327040]) ).
tff(c_327745,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_327703]) ).
tff(c_327753,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_327745,c_222]) ).
tff(c_327761,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_327672,c_327753,c_255415]) ).
tff(c_327787,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327761,c_327040]) ).
tff(c_327788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_327688,c_327473,c_406,c_327787]) ).
tff(c_327789,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_327681]) ).
tff(c_327792,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_327789,c_330]) ).
tff(c_327849,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_327672,c_327792,c_255415]) ).
tff(c_327877,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327849,c_327040]) ).
tff(c_327878,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_327473,c_406,c_327877]) ).
tff(c_327882,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_327878,c_252]) ).
tff(c_327147,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_327187,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_327147,c_326256,c_212]) ).
tff(c_327188,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_327908,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_327473,c_327188]) ).
tff(c_327909,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_327908]) ).
tff(c_327895,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_327878,c_178]) ).
tff(c_327910,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_327909,c_327895]) ).
tff(c_327923,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_327910,c_327910,c_188]) ).
tff(c_327932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_327882,c_327923]) ).
tff(c_327933,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_327908]) ).
tff(c_327850,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_327849,c_174]) ).
tff(c_327935,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_327933,c_327933,c_327850]) ).
tff(c_327945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_327935]) ).
tff(c_327946,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_362353,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_327946]) ).
tff(c_362362,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_362353,c_370]) ).
tff(c_362355,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_362353,c_268]) ).
tff(c_362358,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_362353,c_272]) ).
tff(c_329861,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_330455,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_329861,c_206]) ).
tff(c_330779,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_330455,c_255415]) ).
tff(c_330780,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_330779]) ).
tff(c_330782,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330780,c_326]) ).
tff(c_330635,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_327946]) ).
tff(c_330636,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_330635,c_268]) ).
tff(c_330030,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_329861,c_206]) ).
tff(c_329871,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_329861,c_208864]) ).
tff(c_329872,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_329871]) ).
tff(c_329873,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_329872]) ).
tff(c_329910,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_329873,c_329861,c_204]) ).
tff(c_329912,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_329872]) ).
tff(c_329913,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_329912,c_50475]) ).
tff(c_329914,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_329913]) ).
tff(c_329919,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_329914,c_222]) ).
tff(c_329941,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_329914,c_252827]) ).
tff(c_329942,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_329919,c_329941]) ).
tff(c_329943,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_329942]) ).
tff(c_329949,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_329943,c_346]) ).
tff(c_329963,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_329861,c_206]) ).
tff(c_329997,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_329963,c_329919,c_255415]) ).
tff(c_329978,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_329943,c_174]) ).
tff(c_329999,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_329997,c_329978]) ).
tff(c_330008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_329949,c_329999]) ).
tff(c_330009,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_329942]) ).
tff(c_330013,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_330009,c_366]) ).
tff(c_327948,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_327951,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_327948,c_304]) ).
tff(c_328568,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327948,c_50475]) ).
tff(c_328569,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_327951,c_404,c_328568]) ).
tff(c_328570,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_328569]) ).
tff(c_328576,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_328570,c_222]) ).
tff(c_328574,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_328570,c_228]) ).
tff(c_328949,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_328574,c_327946]) ).
tff(c_328950,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_328949]) ).
tff(c_328954,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_328950,c_272]) ).
tff(c_328929,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_328570,c_252827]) ).
tff(c_328930,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_328576,c_328929]) ).
tff(c_328931,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_328930]) ).
tff(c_328935,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_328931,c_346]) ).
tff(c_327960,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_328387,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_327948,c_327960,c_172]) ).
tff(c_327953,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_327948,c_306]) ).
tff(c_327969,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327960,c_208864]) ).
tff(c_327970,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_327951,c_404,c_327969]) ).
tff(c_327971,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_327970]) ).
tff(c_327981,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_327953,c_252827]) ).
tff(c_327982,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_327981]) ).
tff(c_328041,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_327971,c_327982,c_322]) ).
tff(c_328043,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_327981]) ).
tff(c_328181,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327971,c_255415]) ).
tff(c_328182,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_328043,c_328181]) ).
tff(c_328188,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_328182,c_246]) ).
tff(c_328078,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327948,c_50475]) ).
tff(c_328079,plain,
( ( op(e1,e4) = e1 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_327951,c_404,c_328078]) ).
tff(c_328080,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_328079]) ).
tff(c_328125,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_328080,c_327971,c_162]) ).
tff(c_328126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_328043,c_328125]) ).
tff(c_328127,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_328079]) ).
tff(c_328134,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_328127,c_268]) ).
tff(c_328150,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_328134,c_327946]) ).
tff(c_328151,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_328150]) ).
tff(c_328156,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_328151,c_250]) ).
tff(c_328164,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327971,c_255415]) ).
tff(c_328165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_328043,c_328156,c_328164]) ).
tff(c_328166,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_328150]) ).
tff(c_328042,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_327981]) ).
tff(c_328232,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_328166,c_328042]) ).
tff(c_328233,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_328232]) ).
tff(c_328211,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_328182,c_174]) ).
tff(c_328234,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_328233,c_328211]) ).
tff(c_328244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_328188,c_328234]) ).
tff(c_328245,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_327970]) ).
tff(c_328249,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_328245,c_362]) ).
tff(c_328258,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_327953,c_328249,c_252827]) ).
tff(c_328259,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_328258]) ).
tff(c_328264,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_328259,c_222]) ).
tff(c_328318,plain,
( ( op(e1,e4) = e1 )
| ( e4 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_327948,c_50475]) ).
tff(c_328319,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_327951,c_328264,c_404,c_328318]) ).
tff(c_328368,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_328319,c_328245,c_158]) ).
tff(c_328405,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_328387,c_328368,c_328368,c_188]) ).
tff(c_328406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_328405]) ).
tff(c_328408,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_328258]) ).
tff(c_328518,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_327960,c_206]) ).
tff(c_328250,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_328245,c_368]) ).
tff(c_328520,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_328250,c_327946]) ).
tff(c_328521,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_328520]) ).
tff(c_328527,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_328521,c_250]) ).
tff(c_328544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_328518,c_328408,c_328527,c_255415]) ).
tff(c_328545,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_328520]) ).
tff(c_327954,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_327948,c_312]) ).
tff(c_328407,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_328258]) ).
tff(c_328409,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_328407,c_350]) ).
tff(c_328420,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_327954,c_328409,c_328250,c_85116]) ).
tff(c_328564,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_328545,c_328420,c_168]) ).
tff(c_328565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_328408,c_328564]) ).
tff(c_328566,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_328982,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_328931,c_328566]) ).
tff(c_328983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_328954,c_328935,c_406,c_328982]) ).
tff(c_328984,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_328949]) ).
tff(c_328990,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_328984,c_250]) ).
tff(c_328998,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_328576,c_328990,c_255415]) ).
tff(c_329043,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_328570,c_328998,c_328570,c_154]) ).
tff(c_329044,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_329043]) ).
tff(c_329045,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_328930]) ).
tff(c_329054,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_329045,c_370]) ).
tff(c_329064,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_328576,c_255415]) ).
tff(c_329065,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_329064]) ).
tff(c_329117,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_329065,c_329065,c_328570,c_162]) ).
tff(c_329118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_329117]) ).
tff(c_329119,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_329064]) ).
tff(c_329123,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_329119,c_250]) ).
tff(c_329131,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_329045,c_327946]) ).
tff(c_329132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_329054,c_329123,c_410,c_329131]) ).
tff(c_329133,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_328569]) ).
tff(c_329550,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_329133,c_264]) ).
tff(c_329465,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_329133,c_268]) ).
tff(c_329575,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_329465,c_327946]) ).
tff(c_329576,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_329575]) ).
tff(c_329579,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_329576,c_252]) ).
tff(c_329626,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_329550,c_329579,c_328566]) ).
tff(c_329478,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_329133,c_264]) ).
tff(c_329466,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_327953,c_252827]) ).
tff(c_329467,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_329466]) ).
tff(c_329470,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_329467,c_230]) ).
tff(c_329489,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_329465,c_329470,c_327946]) ).
tff(c_329492,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_329489,c_252]) ).
tff(c_329468,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_329467,c_226]) ).
tff(c_329546,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_329478,c_329492,c_329468,c_328566]) ).
tff(c_329547,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_329466]) ).
tff(c_329695,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_329626,c_329547]) ).
tff(c_329696,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_329695]) ).
tff(c_329701,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_329696,c_362]) ).
tff(c_329382,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_329133,c_264]) ).
tff(c_329357,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_327953,c_252827]) ).
tff(c_329358,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_329357]) ).
tff(c_329346,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_327951,c_208864]) ).
tff(c_329347,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_329346]) ).
tff(c_329379,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_329358,c_329347,c_322]) ).
tff(c_329381,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_329357]) ).
tff(c_329427,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_329347,c_255415]) ).
tff(c_329428,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_329381,c_329427]) ).
tff(c_329435,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_329428,c_246]) ).
tff(c_329354,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_329133,c_268]) ).
tff(c_329395,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_329354,c_327946]) ).
tff(c_329396,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_329395]) ).
tff(c_329401,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_329396,c_250]) ).
tff(c_329410,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_329347,c_255415]) ).
tff(c_329411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_329381,c_329401,c_329410]) ).
tff(c_329412,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_329395]) ).
tff(c_329417,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_329412,c_232]) ).
tff(c_329461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_329382,c_329435,c_329417,c_328566]) ).
tff(c_329462,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_329346]) ).
tff(c_329731,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_329701,c_329462]) ).
tff(c_329690,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_327948,c_156]) ).
tff(c_329732,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_329731,c_329731,c_329690]) ).
tff(c_329743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_329732]) ).
tff(c_329744,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_329575]) ).
tff(c_329750,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_329744,c_232]) ).
tff(c_329795,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_329550,c_329750,c_328566]) ).
tff(c_329801,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_329795,c_346]) ).
tff(c_329856,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_329744,c_329547]) ).
tff(c_329857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_329801,c_329856]) ).
tff(c_329858,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_330041,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_330013,c_329858]) ).
tff(c_330042,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_330041]) ).
tff(c_330050,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_330042,c_246]) ).
tff(c_330064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_330030,c_329919,c_330050,c_255415]) ).
tff(c_330065,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_330041]) ).
tff(c_330083,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330065,c_255415]) ).
tff(c_330084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_330030,c_329919,c_406,c_330083]) ).
tff(c_330085,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_329913]) ).
tff(c_330737,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_330636,c_330085]) ).
tff(c_330724,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_329861,c_156]) ).
tff(c_330738,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_330737,c_330737,c_330724]) ).
tff(c_330749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_330738]) ).
tff(c_330751,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_327946]) ).
tff(c_330785,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330780,c_330]) ).
tff(c_330298,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_329861,c_206]) ).
tff(c_330089,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_330094,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_330089,c_310]) ).
tff(c_330103,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_330094,c_252827]) ).
tff(c_330104,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_330103]) ).
tff(c_330118,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330104,c_326]) ).
tff(c_330128,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_330118,c_329858]) ).
tff(c_330129,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_330128]) ).
tff(c_330133,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_330129,c_372]) ).
tff(c_330108,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330104,c_230]) ).
tff(c_330182,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330129,c_327946]) ).
tff(c_330183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_330133,c_412,c_330108,c_330182]) ).
tff(c_330184,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_330128]) ).
tff(c_330186,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_330184,c_244]) ).
tff(c_330294,plain,
( ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330089,c_330085]) ).
tff(c_330295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_330186,c_330294]) ).
tff(c_330297,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_330103]) ).
tff(c_330339,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_330298,c_330297,c_255415]) ).
tff(c_330345,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_330339,c_242]) ).
tff(c_330435,plain,
( ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330089,c_330085]) ).
tff(c_330436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_330345,c_330435]) ).
tff(c_330437,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_330798,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_330751,c_330785,c_330437]) ).
tff(c_330804,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_330798,c_352]) ).
tff(c_330485,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_329858]) ).
tff(c_330489,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_330485,c_372]) ).
tff(c_330498,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_330455,c_255415]) ).
tff(c_330499,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_330498]) ).
tff(c_330507,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330499,c_230]) ).
tff(c_330517,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330485,c_327946]) ).
tff(c_330518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_330489,c_412,c_330507,c_330517]) ).
tff(c_330520,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_330498]) ).
tff(c_330567,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_330489,c_330437]) ).
tff(c_330568,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_330567]) ).
tff(c_330617,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_330485,c_330568,c_330485,c_178]) ).
tff(c_330618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_330617]) ).
tff(c_330619,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_330567]) ).
tff(c_330534,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330485,c_327946]) ).
tff(c_330535,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_330489,c_412,c_330534]) ).
tff(c_330537,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_330535,c_168]) ).
tff(c_330621,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_330619,c_330537]) ).
tff(c_330632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_330520,c_330621]) ).
tff(c_330633,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_329858]) ).
tff(c_330860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_330782,c_330804,c_330633]) ).
tff(c_330861,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_330779]) ).
tff(c_330870,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_330861,c_246]) ).
tff(c_330935,plain,
( ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330861,c_330633]) ).
tff(c_330936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_330870,c_330935]) ).
tff(c_330937,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_362505,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_362358,c_330937]) ).
tff(c_362506,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_362505]) ).
tff(c_362507,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_362506,c_244]) ).
tff(c_330941,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_208864]) ).
tff(c_360033,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_202]) ).
tff(c_330944,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_308]) ).
tff(c_330943,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_302]) ).
tff(c_330951,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_330943,c_252827]) ).
tff(c_330952,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_330951]) ).
tff(c_330962,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_330]) ).
tff(c_330964,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_330944,c_330962,c_85116]) ).
tff(c_330965,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_330964]) ).
tff(c_330969,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_330965,c_352]) ).
tff(c_330982,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_326]) ).
tff(c_330955,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_230]) ).
tff(c_331017,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_330955,c_327946]) ).
tff(c_331018,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_331017]) ).
tff(c_331024,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331018,c_372]) ).
tff(c_331073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331024,c_330969,c_330982,c_329858]) ).
tff(c_331074,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_331017]) ).
tff(c_331124,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331074,c_329858]) ).
tff(c_331125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_330969,c_330982,c_331124]) ).
tff(c_331126,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_330964]) ).
tff(c_331134,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_380]) ).
tff(c_331260,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_331261,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_331134,c_331260]) ).
tff(c_331262,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_331261]) ).
tff(c_331132,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_372]) ).
tff(c_331143,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_326]) ).
tff(c_331242,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_331132,c_331143,c_329858]) ).
tff(c_331248,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_252]) ).
tff(c_335686,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_120]) ).
tff(c_335687,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_331248,c_335686]) ).
tff(c_335688,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_335687]) ).
tff(c_326254,plain,
( ( op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e4,e3)) != e3 )
| ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e2)) != e2 )
| ( op(e0,op(e0,e1)) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_252829,c_424]) ).
tff(c_326255,plain,
op(e0,op(e0,e1)) != e1,
inference(splitLeft,[status(thm)],[c_326254]) ).
tff(c_335691,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_335688,c_326255]) ).
tff(c_335702,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_335691]) ).
tff(c_335704,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_335687]) ).
tff(c_342340,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_331134,c_335704,c_48]) ).
tff(c_342341,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_342340]) ).
tff(c_342346,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_342341,c_326252]) ).
tff(c_331245,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_258]) ).
tff(c_340558,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_331245,c_30]) ).
tff(c_340559,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_340558]) ).
tff(c_335660,plain,
op(e1,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_180]) ).
tff(c_340561,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_340559,c_335660]) ).
tff(c_340570,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_340561]) ).
tff(c_340572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_340570]) ).
tff(c_340573,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_340558]) ).
tff(c_340575,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_340573]) ).
tff(c_340578,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_340575,c_335660]) ).
tff(c_335703,plain,
( ( op(e3,e1) = e2 )
| ( op(e4,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_335687]) ).
tff(c_340365,plain,
op(e4,e1) = e2,
inference(splitLeft,[status(thm)],[c_335703]) ).
tff(c_340533,plain,
op(op(e1,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340365,c_158]) ).
tff(c_340593,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340578,c_340533]) ).
tff(c_340602,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_340593]) ).
tff(c_340604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_340602]) ).
tff(c_340605,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_340573]) ).
tff(c_340609,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_340605,c_335660]) ).
tff(c_335659,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_196]) ).
tff(c_340608,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_340605,c_335659]) ).
tff(c_335663,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_354]) ).
tff(c_340852,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340365,c_330941,c_66]) ).
tff(c_340853,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_335663,c_408,c_340852]) ).
tff(c_340854,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_340853]) ).
tff(c_335666,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_284]) ).
tff(c_330945,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_314]) ).
tff(c_338339,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_335666,c_330945,c_42]) ).
tff(c_338340,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_338339]) ).
tff(c_331135,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_370]) ).
tff(c_331270,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_356]) ).
tff(c_331274,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_284]) ).
tff(c_331145,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_202]) ).
tff(c_331250,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_246]) ).
tff(c_332252,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_80]) ).
tff(c_332253,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331250,c_406,c_332252]) ).
tff(c_332254,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_332253]) ).
tff(c_330954,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_236]) ).
tff(c_331290,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_330954,c_20]) ).
tff(c_331291,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_331290]) ).
tff(c_331292,plain,
op(e1,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_331291,c_194]) ).
tff(c_332256,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_332254,c_331292]) ).
tff(c_332259,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_332254,c_334]) ).
tff(c_331142,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_322]) ).
tff(c_332295,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_332259,c_331142,c_331145,c_4]) ).
tff(c_332296,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_332295]) ).
tff(c_330938,plain,
op(e4,e2) != e4,
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_331316,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_331242,c_92]) ).
tff(c_331317,plain,
( ( op(e3,e2) = e4 )
| ( op(e1,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_330938,c_331316]) ).
tff(c_331318,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_331317]) ).
tff(c_331327,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_331318,c_278]) ).
tff(c_331251,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_344]) ).
tff(c_331332,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_62]) ).
tff(c_331333,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331251,c_404,c_331332]) ).
tff(c_331334,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_331333]) ).
tff(c_331385,plain,
( ( e4 = e2 )
| ( e4 = e1 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_331291,c_331334,c_132]) ).
tff(c_331386,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_331327,c_408,c_404,c_331385]) ).
tff(c_331267,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_196]) ).
tff(c_331388,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_331386,c_331267]) ).
tff(c_331344,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_331334,c_216]) ).
tff(c_331272,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_286]) ).
tff(c_330956,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_336]) ).
tff(c_331473,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_331272,c_330956,c_44]) ).
tff(c_331474,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_331473]) ).
tff(c_331293,plain,
op(op(e0,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_331291,c_170]) ).
tff(c_331475,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_331474,c_331293]) ).
tff(c_331320,plain,
op(e4,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331318,c_178]) ).
tff(c_331490,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331475,c_331320]) ).
tff(c_331498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331344,c_331490]) ).
tff(c_331499,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_331473]) ).
tff(c_331502,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_331499,c_331293]) ).
tff(c_331511,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_331388,c_331502]) ).
tff(c_331513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_331511]) ).
tff(c_331515,plain,
op(e4,e0) != e2,
inference(splitRight,[status(thm)],[c_331333]) ).
tff(c_331249,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_346]) ).
tff(c_330953,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_226]) ).
tff(c_331324,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_331318,c_350]) ).
tff(c_331679,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_331270,c_331249,c_330953,c_331324,c_16]) ).
tff(c_331687,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_331679,c_232]) ).
tff(c_331707,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_128]) ).
tff(c_331708,plain,
( ( op(e4,e1) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_331687,c_331707]) ).
tff(c_331709,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_331708]) ).
tff(c_331710,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331709,c_331320]) ).
tff(c_331721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331515,c_331710]) ).
tff(c_331722,plain,
op(e4,e1) = e0,
inference(splitRight,[status(thm)],[c_331708]) ).
tff(c_331514,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_331333]) ).
tff(c_331658,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_331514]) ).
tff(c_326251,plain,
( ( op(op(e0,e2),e2) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e1),e1) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e2),e2) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e3),e3) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e3),e3) != e4 )
| ( op(op(e4,e4),e4) != e4 ) ),
inference(splitRight,[status(thm)],[c_255419]) ).
tff(c_331264,plain,
( ( op(op(e0,e2),e2) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e3),e3) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_330941,c_330952,c_330952,c_331242,c_331242,c_331126,c_331126,c_326251]) ).
tff(c_331265,plain,
op(op(e4,e3),e3) != e4,
inference(splitLeft,[status(thm)],[c_331264]) ).
tff(c_331660,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_331658,c_331265]) ).
tff(c_331668,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_331658,c_328]) ).
tff(c_331326,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_331318,c_266]) ).
tff(c_331748,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_255416,c_331668,c_330962,c_331326,c_34]) ).
tff(c_331847,plain,
( ( e4 = e2 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e0 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331748,c_330952,c_331658,c_72]) ).
tff(c_331848,plain,
op(e0,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_331660,c_402,c_404,c_331847]) ).
tff(c_331850,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_331848,c_331293]) ).
tff(c_331857,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_331722,c_331850]) ).
tff(c_331859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_331857]) ).
tff(c_331861,plain,
op(e4,e3) != e2,
inference(splitRight,[status(thm)],[c_331514]) ).
tff(c_331294,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331291,c_386]) ).
tff(c_331516,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331142,c_331145,c_4]) ).
tff(c_331517,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_331516]) ).
tff(c_331572,plain,
( ( op(e4,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331517,c_331514]) ).
tff(c_331573,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_331572]) ).
tff(c_331128,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_268]) ).
tff(c_331545,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331128,c_330944,c_32]) ).
tff(c_331546,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_331545]) ).
tff(c_331547,plain,
op(op(e4,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331546,c_182]) ).
tff(c_331574,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331573,c_331547]) ).
tff(c_331585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331294,c_331574]) ).
tff(c_331586,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_331545]) ).
tff(c_331618,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_331586]) ).
tff(c_331594,plain,
( ( op(e4,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331517,c_331514]) ).
tff(c_331595,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_331594]) ).
tff(c_331598,plain,
op(op(e1,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_331595,c_158]) ).
tff(c_331619,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_331618,c_331598]) ).
tff(c_331630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331324,c_331619]) ).
tff(c_331631,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_331586]) ).
tff(c_331633,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_331631,c_331598]) ).
tff(c_331643,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_331633]) ).
tff(c_331645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_331643]) ).
tff(c_331646,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_331516]) ).
tff(c_331884,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_331861,c_331646]) ).
tff(c_331891,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331884,c_324]) ).
tff(c_331901,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331128,c_330944,c_32]) ).
tff(c_331902,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_331901]) ).
tff(c_331860,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_331514]) ).
tff(c_331862,plain,
op(e2,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331860,c_182]) ).
tff(c_331903,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331902,c_331862]) ).
tff(c_331913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331294,c_331903]) ).
tff(c_331914,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_331901]) ).
tff(c_331924,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_331914]) ).
tff(c_331926,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331924,c_331862]) ).
tff(c_331936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331891,c_331926]) ).
tff(c_331937,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_331914]) ).
tff(c_331863,plain,
op(op(e1,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_331860,c_158]) ).
tff(c_331941,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_331937,c_331863]) ).
tff(c_331949,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_331941]) ).
tff(c_331951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_331949]) ).
tff(c_331953,plain,
op(e1,e2) != e4,
inference(splitRight,[status(thm)],[c_331317]) ).
tff(c_331992,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331142,c_331145,c_4]) ).
tff(c_331993,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_331992]) ).
tff(c_331300,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331291,c_234]) ).
tff(c_330957,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_222]) ).
tff(c_331977,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331300,c_330957,c_330943,c_12]) ).
tff(c_331978,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_331977]) ).
tff(c_331980,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_331978,c_154]) ).
tff(c_332007,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_331993,c_331980]) ).
tff(c_332008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_332007]) ).
tff(c_332009,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_331992]) ).
tff(c_332021,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_332009]) ).
tff(c_332022,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_332021,c_331980]) ).
tff(c_332034,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_332022]) ).
tff(c_332036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_332034]) ).
tff(c_332037,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_332009]) ).
tff(c_332043,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_332037,c_331265]) ).
tff(c_331981,plain,
op(op(e4,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_331978,c_162]) ).
tff(c_332041,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_332037,c_331981]) ).
tff(c_332133,plain,
( ( op(e4,e0) = e2 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_332041,c_331291,c_140]) ).
tff(c_332134,plain,
op(e4,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_406,c_331245,c_412,c_332133]) ).
tff(c_331244,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_244]) ).
tff(c_332106,plain,
( ( e4 = e2 )
| ( e2 = e0 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331978,c_330941,c_60]) ).
tff(c_332107,plain,
( ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331244,c_418,c_404,c_332106]) ).
tff(c_332108,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_332107]) ).
tff(c_332110,plain,
op(e2,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_332108,c_160]) ).
tff(c_332135,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_332134,c_332110]) ).
tff(c_332143,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_332135]) ).
tff(c_332145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_332143]) ).
tff(c_332146,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_332107]) ).
tff(c_332202,plain,
( ( e4 = e2 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_332041,c_331126,c_332146,c_114]) ).
tff(c_332203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_408,c_331953,c_332043,c_404,c_332202]) ).
tff(c_332204,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_331977]) ).
tff(c_332208,plain,
op(op(e4,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_332204,c_162]) ).
tff(c_332298,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_332296,c_332208]) ).
tff(c_332308,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_332298]) ).
tff(c_332310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_332308]) ).
tff(c_332311,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_332295]) ).
tff(c_332315,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_332311,c_332208]) ).
tff(c_332325,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_332256,c_332315]) ).
tff(c_332327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_332325]) ).
tff(c_332328,plain,
( ( op(e1,e3) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_332253]) ).
tff(c_332330,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_332328]) ).
tff(c_332331,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_332330,c_332208]) ).
tff(c_332342,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_332331]) ).
tff(c_332344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_332342]) ).
tff(c_332345,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_332328]) ).
tff(c_332543,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_332345,c_330952,c_72]) ).
tff(c_332544,plain,
( ( op(e2,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_402,c_331145,c_332543]) ).
tff(c_332545,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_332544]) ).
tff(c_332548,plain,
op(e1,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_332545,c_331292]) ).
tff(c_332618,plain,
( ( e4 = e1 )
| ( e2 = e1 )
| ( op(e2,e4) = e1 )
| ( e1 = e0 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_332548,c_332204,c_330941,c_64]) ).
tff(c_332619,plain,
op(e2,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_331274,c_420,c_412,c_408,c_332618]) ).
tff(c_332577,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_332548,c_264]) ).
tff(c_331952,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_331317]) ).
tff(c_332584,plain,
( ( op(e4,e2) = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_331242,c_331952,c_108]) ).
tff(c_332585,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_332577,c_418,c_414,c_332584]) ).
tff(c_332590,plain,
op(e0,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_332585,c_172]) ).
tff(c_332620,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_332619,c_332590]) ).
tff(c_332638,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_332620,c_326255]) ).
tff(c_332648,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_332638]) ).
tff(c_332649,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_332544]) ).
tff(c_331956,plain,
op(op(e2,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_331952,c_166]) ).
tff(c_332651,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_332649,c_331956]) ).
tff(c_332663,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_332651,c_330941]) ).
tff(c_332665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_332663]) ).
tff(c_332666,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_331290]) ).
tff(c_332668,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_332666]) ).
tff(c_333891,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_332668,c_330952,c_86]) ).
tff(c_333892,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_331135,c_331270,c_410,c_333891]) ).
tff(c_333670,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_331242,c_108]) ).
tff(c_333671,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_418,c_333670]) ).
tff(c_333672,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_333671]) ).
tff(c_333358,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_84]) ).
tff(c_333359,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_331272,c_255416,c_410,c_333358]) ).
tff(c_333360,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_333359]) ).
tff(c_333367,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_333360,c_242]) ).
tff(c_329859,plain,
op(e2,e4) != e4,
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_333504,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_333367,c_331244,c_329859,c_22]) ).
tff(c_333505,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_333504]) ).
tff(c_333514,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_333505,c_312]) ).
tff(c_333379,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_331274,c_330945,c_42]) ).
tff(c_333380,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_333379]) ).
tff(c_333386,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_333380,c_282]) ).
tff(c_333440,plain,
op(e0,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_252838,c_331272,c_333386,c_330956,c_44]) ).
tff(c_332671,plain,
op(op(e0,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_332668,c_170]) ).
tff(c_333441,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_333440,c_332671]) ).
tff(c_333484,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_333441,c_330941]) ).
tff(c_333486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_333484]) ).
tff(c_333487,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_333379]) ).
tff(c_333492,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_333487,c_320]) ).
tff(c_333572,plain,
op(e1,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_333514,c_331128,c_333492,c_330944,c_32]) ).
tff(c_333580,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_333572,c_262]) ).
tff(c_332676,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_332668,c_390]) ).
tff(c_332684,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331132,c_331248,c_28]) ).
tff(c_332685,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_332684]) ).
tff(c_332693,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_332685,c_364]) ).
tff(c_332914,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_80]) ).
tff(c_332915,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331250,c_406,c_332914]) ).
tff(c_332916,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_332915]) ).
tff(c_332984,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e2 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_331262,c_332916,c_134]) ).
tff(c_332985,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_404,c_330945,c_332984]) ).
tff(c_332990,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_332985,c_326252]) ).
tff(c_332997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_332693,c_332990]) ).
tff(c_332998,plain,
( ( op(e1,e3) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_332915]) ).
tff(c_333008,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_332998]) ).
tff(c_332704,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_60]) ).
tff(c_332705,plain,
( ( op(e3,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331244,c_404,c_332704]) ).
tff(c_332706,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_332705]) ).
tff(c_332712,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_332706,c_282]) ).
tff(c_332737,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_114]) ).
tff(c_332738,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_332676,c_408,c_330944,c_332737]) ).
tff(c_332739,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_332738]) ).
tff(c_332687,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_332685,c_186]) ).
tff(c_332740,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_332739,c_332687]) ).
tff(c_332753,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_332740,c_332706]) ).
tff(c_332755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_332753]) ).
tff(c_332756,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_332738]) ).
tff(c_332837,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e4 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_332756,c_330952,c_80]) ).
tff(c_332838,plain,
op(e4,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_332712,c_404,c_331250,c_406,c_332837]) ).
tff(c_332822,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_332668,c_330952,c_86]) ).
tff(c_332823,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_331135,c_331270,c_410,c_332822]) ).
tff(c_332826,plain,
op(op(e4,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_332823,c_162]) ).
tff(c_332850,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_332685,c_332838,c_332826]) ).
tff(c_332851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_332850]) ).
tff(c_332852,plain,
( ( op(e1,e4) = e2 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_332705]) ).
tff(c_332866,plain,
op(e3,e4) = e2,
inference(splitLeft,[status(thm)],[c_332852]) ).
tff(c_332900,plain,
op(e2,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_332866,c_154]) ).
tff(c_333009,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_333008,c_332900]) ).
tff(c_333020,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_333009]) ).
tff(c_333022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_333020]) ).
tff(c_333023,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_332998]) ).
tff(c_333049,plain,
( ( op(e1,e4) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_333023,c_114]) ).
tff(c_333050,plain,
op(e1,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_332676,c_408,c_404,c_330944,c_333049]) ).
tff(c_333052,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_333050,c_332687]) ).
tff(c_333060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331274,c_333052]) ).
tff(c_333062,plain,
op(e3,e4) != e2,
inference(splitRight,[status(thm)],[c_332852]) ).
tff(c_333341,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_332668,c_330952,c_82]) ).
tff(c_333342,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_404,c_331249,c_406,c_333062,c_333341]) ).
tff(c_333061,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_332852]) ).
tff(c_333263,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_333061,c_130]) ).
tff(c_333264,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_418,c_333263]) ).
tff(c_333265,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_333264]) ).
tff(c_332688,plain,
op(op(e1,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_332685,c_178]) ).
tff(c_333266,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_333265,c_332688]) ).
tff(c_333274,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_333266]) ).
tff(c_333276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_333274]) ).
tff(c_333277,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_333264]) ).
tff(c_333281,plain,
op(e0,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_333277,c_168]) ).
tff(c_333343,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_333342,c_333281]) ).
tff(c_333353,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_333343]) ).
tff(c_333355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_333353]) ).
tff(c_333356,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_332684]) ).
tff(c_333550,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_333356]) ).
tff(c_333587,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_333550,c_331242,c_333360,c_333505,c_98]) ).
tff(c_333588,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_410,c_416,c_333587]) ).
tff(c_331268,plain,
op(e1,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_180]) ).
tff(c_333592,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_333588,c_331268]) ).
tff(c_333614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_333580,c_333592]) ).
tff(c_333615,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_333356]) ).
tff(c_333619,plain,
op(e3,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_333615,c_186]) ).
tff(c_333674,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_333672,c_333619]) ).
tff(c_333685,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_333674,c_332668]) ).
tff(c_333687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_333685]) ).
tff(c_333688,plain,
( ( op(e3,e2) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_333671]) ).
tff(c_333712,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_333688]) ).
tff(c_333508,plain,
op(e0,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_333505,c_156]) ).
tff(c_333713,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_333712,c_333508]) ).
tff(c_333723,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_333713]) ).
tff(c_333725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_333723]) ).
tff(c_333726,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_333688]) ).
tff(c_333363,plain,
op(op(e3,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_333360,c_174]) ).
tff(c_333728,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_333726,c_333363]) ).
tff(c_333744,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_333728,c_326255]) ).
tff(c_333753,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_333744]) ).
tff(c_333754,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_333504]) ).
tff(c_333496,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_333487,c_318]) ).
tff(c_333770,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_333754,c_333496]) ).
tff(c_333771,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_333359]) ).
tff(c_333774,plain,
op(op(e3,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_333771,c_154]) ).
tff(c_333893,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_333892,c_333774]) ).
tff(c_333902,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_333893]) ).
tff(c_333904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_333902]) ).
tff(c_333905,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_332666]) ).
tff(c_333917,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_333905,c_234]) ).
tff(c_333923,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_330957,c_330943,c_12]) ).
tff(c_333924,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_333923]) ).
tff(c_333939,plain,
( ( e4 = e2 )
| ( e2 = e0 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_333924,c_330941,c_60]) ).
tff(c_333940,plain,
( ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331244,c_418,c_404,c_333939]) ).
tff(c_333941,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_333940]) ).
tff(c_333947,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_333941,c_282]) ).
tff(c_333929,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_333924,c_310]) ).
tff(c_334079,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_80]) ).
tff(c_334080,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_333947,c_331250,c_406,c_334079]) ).
tff(c_334081,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_334080]) ).
tff(c_334108,plain,
( ( op(e1,e4) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_334081,c_130]) ).
tff(c_334109,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_418,c_333929,c_334108]) ).
tff(c_334307,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_334109,c_331242,c_96]) ).
tff(c_334308,plain,
op(e4,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_406,c_330953,c_334307]) ).
tff(c_333930,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_333924,c_228]) ).
tff(c_333918,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_333905,c_382]) ).
tff(c_331131,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_272]) ).
tff(c_331127,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_330964]) ).
tff(c_334007,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331131,c_331127,c_36]) ).
tff(c_334008,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_334007]) ).
tff(c_333981,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331132,c_331248,c_28]) ).
tff(c_333982,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_333981]) ).
tff(c_333985,plain,
op(op(e1,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_333982,c_178]) ).
tff(c_334009,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_334008,c_333985]) ).
tff(c_334018,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_334009]) ).
tff(c_334020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_334018]) ).
tff(c_334021,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_334007]) ).
tff(c_334023,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_334021]) ).
tff(c_334025,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_334023,c_333985]) ).
tff(c_334035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_333918,c_334025]) ).
tff(c_334036,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_334021]) ).
tff(c_333984,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_333982,c_186]) ).
tff(c_334040,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_334036,c_333984]) ).
tff(c_334050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_331272,c_334040]) ).
tff(c_334051,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_333981]) ).
tff(c_334053,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_334051]) ).
tff(c_333932,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_333924,c_306]) ).
tff(c_334141,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_333932,c_331244,c_329859,c_22]) ).
tff(c_334142,plain,
op(e2,e4) = e1,
inference(splitLeft,[status(thm)],[c_334141]) ).
tff(c_334229,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_334053,c_331242,c_334142,c_98]) ).
tff(c_334230,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_331143,c_410,c_334229]) ).
tff(c_334233,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_334230,c_331267]) ).
tff(c_334239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_333930,c_334233]) ).
tff(c_334240,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_334141]) ).
tff(c_334244,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_334240,c_156]) ).
tff(c_334309,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_334308,c_334244]) ).
tff(c_334317,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_334309]) ).
tff(c_334319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_334317]) ).
tff(c_334320,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_334080]) ).
tff(c_333925,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_333924,c_154]) ).
tff(c_334322,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_334320,c_333925]) ).
tff(c_334333,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_334322]) ).
tff(c_334335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_334333]) ).
tff(c_334336,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_334051]) ).
tff(c_334338,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_130]) ).
tff(c_334339,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_333929,c_334338]) ).
tff(c_334340,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_334339]) ).
tff(c_334342,plain,
op(e0,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_334340,c_178]) ).
tff(c_334370,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_334336,c_334342]) ).
tff(c_334371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_333947,c_334370]) ).
tff(c_334372,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_334339]) ).
tff(c_334399,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_334372,c_332]) ).
tff(c_334427,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_334336,c_331242,c_110]) ).
tff(c_334428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164529,c_416,c_418,c_334399,c_333932,c_334427]) ).
tff(c_334429,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_333940]) ).
tff(c_334438,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_334429,c_262]) ).
tff(c_334566,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_80]) ).
tff(c_334567,plain,
( ( op(e4,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_334438,c_331250,c_406,c_334566]) ).
tff(c_334568,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_334567]) ).
tff(c_333910,plain,
op(op(e0,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_333905,c_170]) ).
tff(c_334570,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_334568,c_333910]) ).
tff(c_334579,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_334570]) ).
tff(c_334581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_334579]) ).
tff(c_334582,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_334567]) ).
tff(c_334584,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_334582,c_333925]) ).
tff(c_334595,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_334584]) ).
tff(c_334597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_334595]) ).
tff(c_334598,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_333923]) ).
tff(c_335015,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_333917,c_334598]) ).
tff(c_334910,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_84]) ).
tff(c_334911,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_331272,c_255416,c_410,c_334910]) ).
tff(c_334912,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_334911]) ).
tff(c_334600,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_331242,c_92]) ).
tff(c_334601,plain,
( ( op(e3,e2) = e4 )
| ( op(e1,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_330938,c_334600]) ).
tff(c_334602,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_334601]) ).
tff(c_334608,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_334602,c_350]) ).
tff(c_334857,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_331270,c_331249,c_330953,c_334608,c_16]) ).
tff(c_334610,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_334602,c_266]) ).
tff(c_334620,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_72]) ).
tff(c_334621,plain,
( ( op(e2,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_334610,c_402,c_331145,c_334620]) ).
tff(c_334622,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_334621]) ).
tff(c_334611,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_334602,c_278]) ).
tff(c_334708,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331142,c_331145,c_4]) ).
tff(c_334709,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_334708]) ).
tff(c_334670,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_333917,c_334598]) ).
tff(c_334673,plain,
op(e1,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_334670,c_154]) ).
tff(c_334711,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_334709,c_334673]) ).
tff(c_334720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_334611,c_334711]) ).
tff(c_334721,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_334708]) ).
tff(c_334731,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_334721]) ).
tff(c_334769,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_334622,c_330952,c_334731,c_84]) ).
tff(c_334770,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_255416,c_410,c_412,c_334769]) ).
tff(c_334775,plain,
op(op(e3,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_334770,c_174]) ).
tff(c_334859,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_334857,c_334775]) ).
tff(c_334883,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_334859,c_326255]) ).
tff(c_334891,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_334883]) ).
tff(c_334892,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_334721]) ).
tff(c_334674,plain,
op(op(e4,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_334670,c_162]) ).
tff(c_334896,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_334892,c_334674]) ).
tff(c_334905,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_334896]) ).
tff(c_334907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_334905]) ).
tff(c_334908,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_334621]) ).
tff(c_334927,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_334912,c_334908]) ).
tff(c_334928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_334927]) ).
tff(c_334929,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_334911]) ).
tff(c_334947,plain,
op(op(e3,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_334929,c_154]) ).
tff(c_335016,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335015,c_334947]) ).
tff(c_335026,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_335016]) ).
tff(c_335028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_335026]) ).
tff(c_335030,plain,
op(e1,e2) != e4,
inference(splitRight,[status(thm)],[c_334601]) ).
tff(c_335371,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_330962,c_34]) ).
tff(c_335372,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_335371]) ).
tff(c_335376,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_335372,c_328]) ).
tff(c_335397,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_335376,c_331142,c_331145,c_4]) ).
tff(c_335398,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_335397]) ).
tff(c_335219,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_333917,c_334598]) ).
tff(c_335222,plain,
op(e1,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335219,c_154]) ).
tff(c_335400,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335398,c_335222]) ).
tff(c_335410,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_335400]) ).
tff(c_335412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_335410]) ).
tff(c_335413,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_335397]) ).
tff(c_335432,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335413,c_335222]) ).
tff(c_335443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335030,c_335432]) ).
tff(c_335444,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_335371]) ).
tff(c_335446,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_335444]) ).
tff(c_335505,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e4 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_335446,c_330952,c_80]) ).
tff(c_335506,plain,
( ( op(e4,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_331250,c_406,c_335505]) ).
tff(c_335507,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_335506]) ).
tff(c_335509,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_335507,c_333910]) ).
tff(c_335518,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_335509]) ).
tff(c_335520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_335518]) ).
tff(c_335521,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_335506]) ).
tff(c_335523,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335521,c_335222]) ).
tff(c_335534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335030,c_335523]) ).
tff(c_335535,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_335444]) ).
tff(c_335546,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_335535,c_340]) ).
tff(c_335628,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331131,c_331127,c_335030,c_36]) ).
tff(c_335629,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_335628]) ).
tff(c_335273,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_331272,c_330956,c_44]) ).
tff(c_335274,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_335273]) ).
tff(c_335289,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_335274,c_333910]) ).
tff(c_335299,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_335289]) ).
tff(c_335301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_335299]) ).
tff(c_335302,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_335273]) ).
tff(c_335319,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_335302,c_333910]) ).
tff(c_335197,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_333917,c_334598]) ).
tff(c_335052,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_98]) ).
tff(c_335053,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_331143,c_335052]) ).
tff(c_335054,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_335053]) ).
tff(c_335056,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_335054,c_331268]) ).
tff(c_335083,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_335056,c_328]) ).
tff(c_335055,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_335054,c_331267]) ).
tff(c_335074,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_335055,c_362]) ).
tff(c_335094,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331142,c_331145,c_4]) ).
tff(c_335095,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_335094]) ).
tff(c_335096,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_335095,c_331265]) ).
tff(c_335119,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_331262,c_134]) ).
tff(c_335120,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_335096,c_330945,c_335119]) ).
tff(c_335124,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_335120,c_326252]) ).
tff(c_335132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335074,c_335124]) ).
tff(c_335133,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_335094]) ).
tff(c_335145,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_335083,c_335133]) ).
tff(c_335150,plain,
op(e1,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_335145,c_162]) ).
tff(c_335198,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_335197,c_335150]) ).
tff(c_335206,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_335198]) ).
tff(c_335208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_335206]) ).
tff(c_335209,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_335053]) ).
tff(c_335242,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_335209]) ).
tff(c_335247,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335242,c_156]) ).
tff(c_335333,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335319,c_335247]) ).
tff(c_335342,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_335333]) ).
tff(c_335344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_335342]) ).
tff(c_335345,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_335209]) ).
tff(c_335351,plain,
op(op(e1,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_335345,c_178]) ).
tff(c_335631,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_335629,c_335351]) ).
tff(c_335638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335546,c_335631]) ).
tff(c_335639,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_335628]) ).
tff(c_335642,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_335639,c_335351]) ).
tff(c_335653,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_335642,c_330952]) ).
tff(c_335655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_335653]) ).
tff(c_335656,plain,
( ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e2),e2) != e0 ) ),
inference(splitRight,[status(thm)],[c_331264]) ).
tff(c_335705,plain,
( ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(e1,e2) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_335656]) ).
tff(c_335706,plain,
op(e1,e2) != e0,
inference(splitLeft,[status(thm)],[c_335705]) ).
tff(c_338254,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_335706,c_331131,c_331127,c_36]) ).
tff(c_338255,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_338254]) ).
tff(c_337232,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_72]) ).
tff(c_337233,plain,
( ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_331145,c_337232]) ).
tff(c_337234,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_337233]) ).
tff(c_337240,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_337234,c_338]) ).
tff(c_337249,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_337234,c_330952,c_80]) ).
tff(c_337250,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_331250,c_406,c_337249]) ).
tff(c_337251,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_337250]) ).
tff(c_335707,plain,
op(e4,e1) = e2,
inference(splitLeft,[status(thm)],[c_335703]) ).
tff(c_335850,plain,
( ( e4 = e2 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_335707,c_112]) ).
tff(c_335851,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_335850]) ).
tff(c_335852,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_335851]) ).
tff(c_335857,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_335852,c_326252]) ).
tff(c_335868,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_335857,c_335707]) ).
tff(c_335870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_335868]) ).
tff(c_335872,plain,
op(e0,e1) != e4,
inference(splitRight,[status(thm)],[c_335851]) ).
tff(c_335732,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_330957,c_330943,c_12]) ).
tff(c_335733,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_335732]) ).
tff(c_335738,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_335733,c_310]) ).
tff(c_336048,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_130]) ).
tff(c_336049,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_335706,c_335738,c_336048]) ).
tff(c_335664,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_286]) ).
tff(c_336086,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_336049,c_330952,c_84]) ).
tff(c_336087,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_335664,c_420,c_410,c_336086]) ).
tff(c_336088,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_336087]) ).
tff(c_336114,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( e4 = e0 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_336049,c_336088,c_330952,c_72]) ).
tff(c_336115,plain,
op(e0,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_402,c_331145,c_336114]) ).
tff(c_335717,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_335707,c_220]) ).
tff(c_335956,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_335957,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_331245,c_335717,c_335956]) ).
tff(c_335958,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_335957]) ).
tff(c_335963,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_335958,c_274]) ).
tff(c_335742,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_335733,c_306]) ).
tff(c_335756,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_335742,c_331244,c_329859,c_22]) ).
tff(c_335757,plain,
op(e2,e4) = e1,
inference(splitLeft,[status(thm)],[c_335756]) ).
tff(c_335764,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_335757,c_242]) ).
tff(c_335805,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_335738,c_331128,c_330944,c_32]) ).
tff(c_335806,plain,
op(e1,e4) = e2,
inference(splitLeft,[status(thm)],[c_335805]) ).
tff(c_335709,plain,
op(op(e1,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335707,c_158]) ).
tff(c_335809,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335806,c_335709]) ).
tff(c_335816,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_335809]) ).
tff(c_335818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_335816]) ).
tff(c_335819,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_335805]) ).
tff(c_335708,plain,
op(e2,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_335707,c_182]) ).
tff(c_335823,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_335819,c_335708]) ).
tff(c_335832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335764,c_335823]) ).
tff(c_335833,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_335756]) ).
tff(c_335843,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_335833,c_312]) ).
tff(c_336032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335738,c_331128,c_335963,c_335843,c_330944,c_32]) ).
tff(c_336033,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_335957]) ).
tff(c_336036,plain,
op(op(e0,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_336033,c_170]) ).
tff(c_336116,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_336115,c_336036]) ).
tff(c_335837,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335833,c_156]) ).
tff(c_336144,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_336116,c_335837]) ).
tff(c_336152,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_336144]) ).
tff(c_336154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_336152]) ).
tff(c_336155,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_336087]) ).
tff(c_335734,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_335733,c_154]) ).
tff(c_336159,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_336155,c_335734]) ).
tff(c_336169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335872,c_336159]) ).
tff(c_336170,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_335732]) ).
tff(c_336172,plain,
op(e3,e4) = e2,
inference(splitLeft,[status(thm)],[c_336170]) ).
tff(c_336438,plain,
( ( e4 = e1 )
| ( e2 = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_336172,c_330941,c_64]) ).
tff(c_336439,plain,
op(e2,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_335666,c_331128,c_412,c_408,c_336438]) ).
tff(c_336366,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_335707,c_330941,c_70]) ).
tff(c_336367,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_418,c_414,c_336366]) ).
tff(c_336368,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_336367]) ).
tff(c_336372,plain,
op(e0,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_336368,c_172]) ).
tff(c_336440,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_336439,c_336372]) ).
tff(c_336449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335704,c_336440]) ).
tff(c_336450,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_336367]) ).
tff(c_336175,plain,
op(op(e4,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_336172,c_162]) ).
tff(c_336452,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_336450,c_336175]) ).
tff(c_336463,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_336452]) ).
tff(c_336465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_336463]) ).
tff(c_336466,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_336170]) ).
tff(c_336478,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_336466,c_306]) ).
tff(c_336492,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_336478,c_331244,c_329859,c_22]) ).
tff(c_336493,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_336492]) ).
tff(c_336502,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_336493,c_312]) ).
tff(c_335711,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_335707,c_210]) ).
tff(c_336508,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_80]) ).
tff(c_336509,plain,
( ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331250,c_406,c_335711,c_336508]) ).
tff(c_336510,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_336509]) ).
tff(c_336517,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_336510,c_282]) ).
tff(c_336543,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_336502,c_331128,c_330944,c_32]) ).
tff(c_336544,plain,
op(e1,e4) = e2,
inference(splitLeft,[status(thm)],[c_336543]) ).
tff(c_336547,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_336544,c_335709]) ).
tff(c_336554,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_336547]) ).
tff(c_336556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_336554]) ).
tff(c_336557,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_336543]) ).
tff(c_336564,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_336557,c_320]) ).
tff(c_336615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50476,c_335666,c_336517,c_336564,c_330945,c_42]) ).
tff(c_336616,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_336509]) ).
tff(c_336622,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_336616,c_262]) ).
tff(c_336636,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_336502,c_331128,c_336622,c_330944,c_32]) ).
tff(c_336640,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_336636,c_335709]) ).
tff(c_336877,plain,
( ( op(e4,e2) = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_331242,c_336640,c_108]) ).
tff(c_336878,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_335706,c_418,c_414,c_336877]) ).
tff(c_336497,plain,
op(op(e4,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_336493,c_172]) ).
tff(c_336879,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_336878,c_336497]) ).
tff(c_336887,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_336879]) ).
tff(c_336889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_336887]) ).
tff(c_336890,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_336492]) ).
tff(c_336901,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_336890,c_312]) ).
tff(c_336907,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_335707,c_330941,c_70]) ).
tff(c_336908,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_418,c_414,c_336907]) ).
tff(c_336909,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_336908]) ).
tff(c_336896,plain,
op(op(e4,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_336890,c_172]) ).
tff(c_336961,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_336909,c_336896]) ).
tff(c_336936,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_130]) ).
tff(c_336937,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_335706,c_336936]) ).
tff(c_336938,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_336937]) ).
tff(c_336975,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e0 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_336961,c_336938,c_330952,c_72]) ).
tff(c_336976,plain,
op(e2,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_404,c_414,c_402,c_331145,c_336975]) ).
tff(c_336984,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_336976,c_250]) ).
tff(c_336895,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_336890,c_156]) ).
tff(c_336921,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_336909,c_336895]) ).
tff(c_336928,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_336921,c_240]) ).
tff(c_336997,plain,
( ( e4 = e2 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_335707,c_112]) ).
tff(c_336998,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_336984,c_336928,c_404,c_336997]) ).
tff(c_337003,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_336998,c_326252]) ).
tff(c_337013,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_337003,c_335707]) ).
tff(c_337015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_337013]) ).
tff(c_337016,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_336937]) ).
tff(c_337020,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_337016,c_335709]) ).
tff(c_337027,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_337020]) ).
tff(c_337029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_337027]) ).
tff(c_337030,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_336908]) ).
tff(c_336470,plain,
op(e1,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_336466,c_154]) ).
tff(c_337033,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_337030,c_336470]) ).
tff(c_337078,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_337033,c_278]) ).
tff(c_337168,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_331242,c_92]) ).
tff(c_337169,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_337078,c_404,c_330938,c_337168]) ).
tff(c_335657,plain,
op(op(e4,e3),e3) = e4,
inference(splitRight,[status(thm)],[c_331264]) ).
tff(c_337035,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_337030,c_335657]) ).
tff(c_337112,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_337035,c_330952,c_337030,c_84]) ).
tff(c_337113,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_255416,c_410,c_420,c_337112]) ).
tff(c_337117,plain,
op(e1,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_337113,c_166]) ).
tff(c_337171,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_337169,c_337117]) ).
tff(c_337180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_336901,c_337171]) ).
tff(c_337181,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_335703]) ).
tff(c_337184,plain,
op(op(e1,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_337181,c_168]) ).
tff(c_337253,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_337251,c_337184]) ).
tff(c_337262,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_337253]) ).
tff(c_337264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_337262]) ).
tff(c_337265,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_337250]) ).
tff(c_337267,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_337265,c_335657]) ).
tff(c_337278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_337240,c_337267]) ).
tff(c_337279,plain,
( ( op(e1,e3) = e4 )
| ( op(e2,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_337233]) ).
tff(c_337281,plain,
op(e2,e3) = e4,
inference(splitLeft,[status(thm)],[c_337279]) ).
tff(c_337462,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_337281,c_332]) ).
tff(c_337280,plain,
op(e0,e3) != e4,
inference(splitRight,[status(thm)],[c_337233]) ).
tff(c_337207,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331132,c_331248,c_28]) ).
tff(c_337208,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_337207]) ).
tff(c_337218,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_337208,c_364]) ).
tff(c_330950,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_214]) ).
tff(c_337282,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_330950,c_10]) ).
tff(c_337283,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_337282]) ).
tff(c_337419,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_331242,c_92]) ).
tff(c_337420,plain,
( ( op(e3,e2) = e4 )
| ( op(e1,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_330938,c_337419]) ).
tff(c_337421,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_337420]) ).
tff(c_337213,plain,
op(op(e1,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_337208,c_178]) ).
tff(c_337422,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_337421,c_337213]) ).
tff(c_337430,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_337283,c_337422]) ).
tff(c_337432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_337430]) ).
tff(c_337433,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_337420]) ).
tff(c_337286,plain,
op(e4,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_337281,c_166]) ).
tff(c_337436,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_337433,c_337286]) ).
tff(c_337448,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_337436,c_330941]) ).
tff(c_337450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_337448]) ).
tff(c_337451,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_337282]) ).
tff(c_337475,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_337451]) ).
tff(c_337578,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_337475,c_330941,c_70]) ).
tff(c_337579,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_337218,c_414,c_337578]) ).
tff(c_337580,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_337579]) ).
tff(c_337526,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_337475,c_330941,c_70]) ).
tff(c_337527,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_337218,c_414,c_337526]) ).
tff(c_337528,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_337527]) ).
tff(c_337216,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_337208,c_248]) ).
tff(c_337503,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_337216,c_331244,c_329859,c_22]) ).
tff(c_337504,plain,
op(e2,e4) = e1,
inference(splitLeft,[status(thm)],[c_337503]) ).
tff(c_337508,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_337504,c_172]) ).
tff(c_337530,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_337528,c_337508]) ).
tff(c_337540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335704,c_337530]) ).
tff(c_337541,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_337527]) ).
tff(c_337543,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_337541,c_335657]) ).
tff(c_337553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_337280,c_337543]) ).
tff(c_337554,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_337503]) ).
tff(c_337559,plain,
op(op(e4,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_337554,c_172]) ).
tff(c_337582,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_337580,c_337559]) ).
tff(c_337612,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_337582,c_282]) ).
tff(c_337564,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_337554,c_318]) ).
tff(c_337647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50476,c_335666,c_337612,c_337564,c_330945,c_42]) ).
tff(c_337648,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_337579]) ).
tff(c_337683,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_337648,c_335657]) ).
tff(c_337693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_337280,c_337683]) ).
tff(c_337694,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_337451]) ).
tff(c_337706,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_337694,c_216]) ).
tff(c_337720,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_337281,c_330952,c_80]) ).
tff(c_337721,plain,
( ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_406,c_337706,c_337720]) ).
tff(c_337722,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_337721]) ).
tff(c_337843,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( e4 = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_337722,c_337281,c_330952,c_84]) ).
tff(c_337844,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_255416,c_408,c_410,c_337843]) ).
tff(c_337849,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_337844,c_335657]) ).
tff(c_337855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_337462,c_337849]) ).
tff(c_337856,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_337721]) ).
tff(c_337859,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_337856,c_337184]) ).
tff(c_337868,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_337859]) ).
tff(c_337870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_337868]) ).
tff(c_337871,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_337279]) ).
tff(c_337183,plain,
op(e2,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_337181,c_184]) ).
tff(c_337890,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_337871,c_337183]) ).
tff(c_337217,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_337208,c_250]) ).
tff(c_337872,plain,
op(e2,e3) != e4,
inference(splitRight,[status(thm)],[c_337279]) ).
tff(c_337903,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_337217,c_331250,c_331143,c_337872,c_24]) ).
tff(c_337912,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_337903,c_242]) ).
tff(c_337943,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_337890,c_337912]) ).
tff(c_337944,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_337207]) ).
tff(c_337946,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_337944]) ).
tff(c_338009,plain,
( ( op(e4,e1) = e0 )
| ( e2 = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_337946,c_337181,c_128]) ).
tff(c_338010,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_414,c_418,c_338009]) ).
tff(c_337189,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_337181,c_240]) ).
tff(c_338071,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_337189,c_330954,c_20]) ).
tff(c_338072,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_338071]) ).
tff(c_337954,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_337946,c_250]) ).
tff(c_337961,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_72]) ).
tff(c_337962,plain,
( ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_337954,c_402,c_331145,c_337961]) ).
tff(c_337963,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_337962]) ).
tff(c_337966,plain,
op(e4,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_337963,c_170]) ).
tff(c_338073,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_338072,c_337966]) ).
tff(c_338082,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_338010,c_338073]) ).
tff(c_338084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_338082]) ).
tff(c_338085,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_338071]) ).
tff(c_337965,plain,
op(op(e3,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_337963,c_194]) ).
tff(c_338088,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_338085,c_337965]) ).
tff(c_338101,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_338088,c_330941]) ).
tff(c_338103,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_338101]) ).
tff(c_338104,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_337962]) ).
tff(c_338107,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_338104,c_337183]) ).
tff(c_338209,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_337946,c_331242,c_338107,c_98]) ).
tff(c_338210,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_331143,c_410,c_338209]) ).
tff(c_338213,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_338210,c_335659]) ).
tff(c_338224,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_338213,c_337181]) ).
tff(c_338226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_338224]) ).
tff(c_338227,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_337944]) ).
tff(c_338232,plain,
op(op(e1,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_338227,c_178]) ).
tff(c_338256,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_338255,c_338232]) ).
tff(c_338270,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_338256,c_330952]) ).
tff(c_338272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_338270]) ).
tff(c_338273,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_338254]) ).
tff(c_338231,plain,
op(e3,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_338227,c_186]) ).
tff(c_338276,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_338273,c_338231]) ).
tff(c_338362,plain,
( ( e4 = e0 )
| ( e1 = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_338340,c_338276,c_330941,c_68]) ).
tff(c_338363,plain,
( ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_420,c_414,c_338362]) ).
tff(c_338364,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_338363]) ).
tff(c_338372,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_338364,c_312]) ).
tff(c_338311,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_338276,c_306]) ).
tff(c_338235,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_338227,c_248]) ).
tff(c_338387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_338372,c_338311,c_331244,c_338235,c_329859,c_22]) ).
tff(c_338389,plain,
op(e1,e4) != e0,
inference(splitRight,[status(thm)],[c_338363]) ).
tff(c_338461,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_338273,c_130]) ).
tff(c_338462,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_414,c_338389,c_338461]) ).
tff(c_338465,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_338462,c_337184]) ).
tff(c_338472,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_338465]) ).
tff(c_338474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_338472]) ).
tff(c_338476,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_335705]) ).
tff(c_338483,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_338476,c_348]) ).
tff(c_340376,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_340365,c_220]) ).
tff(c_340389,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_340376,c_330950,c_10]) ).
tff(c_340390,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_340389]) ).
tff(c_340454,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340390,c_340365,c_330941,c_70]) ).
tff(c_340455,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_418,c_338483,c_414,c_340454]) ).
tff(c_340458,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340455,c_335657]) ).
tff(c_340146,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_335666,c_330945,c_42]) ).
tff(c_340147,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_340146]) ).
tff(c_339917,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e0 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_338476,c_331242,c_92]) ).
tff(c_339918,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_404,c_330938,c_339917]) ).
tff(c_339791,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_72]) ).
tff(c_339792,plain,
( ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_331145,c_339791]) ).
tff(c_339793,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_339792]) ).
tff(c_339800,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_339793,c_338]) ).
tff(c_339386,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_330950,c_10]) ).
tff(c_339387,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_339386]) ).
tff(c_339396,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_339387,c_216]) ).
tff(c_339402,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_80]) ).
tff(c_339403,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331250,c_406,c_339402]) ).
tff(c_339404,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_339403]) ).
tff(c_339427,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331250,c_331143,c_24]) ).
tff(c_339428,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_339427]) ).
tff(c_339462,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_339404,c_339428,c_330952,c_84]) ).
tff(c_339463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_255416,c_420,c_410,c_339396,c_339462]) ).
tff(c_339464,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_339427]) ).
tff(c_339474,plain,
op(e2,e3) = e4,
inference(splitLeft,[status(thm)],[c_339464]) ).
tff(c_339548,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( e4 = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_339404,c_339474,c_330952,c_84]) ).
tff(c_339549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_255416,c_408,c_410,c_339396,c_339548]) ).
tff(c_339550,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_339464]) ).
tff(c_339560,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_339550,c_242]) ).
tff(c_338481,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_338476,c_264]) ).
tff(c_338484,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_338476,c_266]) ).
tff(c_338501,plain,
op(e4,e1) = e2,
inference(splitLeft,[status(thm)],[c_335703]) ).
tff(c_338623,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_338501,c_330941,c_66]) ).
tff(c_338624,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_335663,c_408,c_338623]) ).
tff(c_338625,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_338624]) ).
tff(c_338505,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_338501,c_210]) ).
tff(c_338516,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_80]) ).
tff(c_338517,plain,
( ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331250,c_406,c_338505,c_338516]) ).
tff(c_338518,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_338517]) ).
tff(c_338525,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_338518,c_282]) ).
tff(c_338599,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_50476,c_335666,c_338525,c_330945,c_42]) ).
tff(c_338603,plain,
op(op(e4,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_338599,c_192]) ).
tff(c_338626,plain,
op(e1,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_338625,c_338603]) ).
tff(c_338637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_338484,c_338626]) ).
tff(c_338638,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_338624]) ).
tff(c_338641,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_338638,c_335657]) ).
tff(c_338549,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331244,c_329859,c_22]) ).
tff(c_338550,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_338549]) ).
tff(c_338557,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_338550,c_248]) ).
tff(c_338573,plain,
( ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_338501,c_128]) ).
tff(c_338574,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_338557,c_418,c_338573]) ).
tff(c_338577,plain,
op(op(e1,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_338574,c_168]) ).
tff(c_338654,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_338641,c_338577]) ).
tff(c_338602,plain,
op(e3,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_338599,c_160]) ).
tff(c_338669,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_338654,c_338602]) ).
tff(c_338677,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_338669]) ).
tff(c_338679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_338677]) ).
tff(c_338680,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_338549]) ).
tff(c_338682,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_338680]) ).
tff(c_338757,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_338682,c_330941,c_68]) ).
tff(c_338758,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_50476,c_338481,c_416,c_414,c_338757]) ).
tff(c_338782,plain,
( ( e4 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_338682,c_338758,c_330941,c_64]) ).
tff(c_338783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335666,c_331128,c_410,c_420,c_408,c_338782]) ).
tff(c_338784,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_338680]) ).
tff(c_338793,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_338784,c_242]) ).
tff(c_338511,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_338501,c_220]) ).
tff(c_338833,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_338834,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_331245,c_338511,c_338833]) ).
tff(c_338835,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_338834]) ).
tff(c_338840,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_338835,c_274]) ).
tff(c_338859,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_338481,c_331128,c_338840,c_330944,c_32]) ).
tff(c_338502,plain,
op(e2,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_338501,c_182]) ).
tff(c_338861,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_338859,c_338502]) ).
tff(c_338869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_338793,c_338861]) ).
tff(c_338870,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_338834]) ).
tff(c_338521,plain,
op(e2,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_338518,c_170]) ).
tff(c_338872,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_338870,c_338521]) ).
tff(c_338882,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_338872]) ).
tff(c_338884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_338882]) ).
tff(c_338885,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_338517]) ).
tff(c_338892,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_338885,c_262]) ).
tff(c_338482,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_338476,c_350]) ).
tff(c_339185,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_338511,c_330950,c_10]) ).
tff(c_339186,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_339185]) ).
tff(c_339305,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_339186,c_338501,c_330941,c_70]) ).
tff(c_339306,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_418,c_338483,c_414,c_339305]) ).
tff(c_338938,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_338476,c_331242,c_96]) ).
tff(c_338939,plain,
op(e4,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_406,c_330953,c_338938]) ).
tff(c_338475,plain,
( ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(splitRight,[status(thm)],[c_335705]) ).
tff(c_338491,plain,
( ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_338476,c_338475]) ).
tff(c_338492,plain,
op(op(e4,e2),e2) != e4,
inference(splitLeft,[status(thm)],[c_338491]) ).
tff(c_338940,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_338939,c_338492]) ).
tff(c_338921,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_68]) ).
tff(c_338922,plain,
( ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_338481,c_414,c_338921]) ).
tff(c_338923,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_338922]) ).
tff(c_338926,plain,
op(op(e4,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_338923,c_172]) ).
tff(c_338967,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_338939,c_338926]) ).
tff(c_339006,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_338923,c_106]) ).
tff(c_339007,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_331132,c_412,c_420,c_339006]) ).
tff(c_339008,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_339007]) ).
tff(c_339010,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_339008,c_335660]) ).
tff(c_339017,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_339010]) ).
tff(c_339019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_339017]) ).
tff(c_339020,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_339007]) ).
tff(c_339070,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_339020,c_338923,c_98]) ).
tff(c_339071,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_410,c_416,c_339070]) ).
tff(c_339072,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_339071]) ).
tff(c_339074,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_339072,c_335659]) ).
tff(c_338980,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( e1 = e0 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_338923,c_330941,c_64]) ).
tff(c_338981,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_335666,c_331128,c_420,c_408,c_338980]) ).
tff(c_339101,plain,
( ( e4 = e1 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( e4 = e0 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_338967,c_339074,c_330952,c_338981,c_74]) ).
tff(c_339102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_414,c_338940,c_402,c_408,c_339101]) ).
tff(c_339103,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_339071]) ).
tff(c_338478,plain,
op(e0,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_338476,c_178]) ).
tff(c_339107,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_339103,c_338478]) ).
tff(c_338925,plain,
op(e0,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_338923,c_156]) ).
tff(c_338952,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_338939,c_338925]) ).
tff(c_339117,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_339107,c_338952]) ).
tff(c_339119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_339117]) ).
tff(c_339120,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_338922]) ).
tff(c_339123,plain,
op(op(e4,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_339120,c_162]) ).
tff(c_339308,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_339306,c_339123]) ).
tff(c_339316,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_339308]) ).
tff(c_339318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_339316]) ).
tff(c_339319,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_339185]) ).
tff(c_339136,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_335666,c_330945,c_42]) ).
tff(c_339137,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_339136]) ).
tff(c_339140,plain,
op(op(e4,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_339137,c_192]) ).
tff(c_339321,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_339319,c_339140]) ).
tff(c_339332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_338482,c_339321]) ).
tff(c_339333,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_339136]) ).
tff(c_339338,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_339333,c_320]) ).
tff(c_339361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_338481,c_331128,c_338892,c_339338,c_330944,c_32]) ).
tff(c_339363,plain,
op(e4,e1) != e2,
inference(splitRight,[status(thm)],[c_335703]) ).
tff(c_339362,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_335703]) ).
tff(c_339577,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_68]) ).
tff(c_339578,plain,
( ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_338481,c_414,c_339577]) ).
tff(c_339579,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_339578]) ).
tff(c_339602,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( e1 = e0 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_339579,c_330941,c_64]) ).
tff(c_339603,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_335666,c_331128,c_420,c_408,c_339602]) ).
tff(c_339707,plain,
( ( e4 = e1 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_339362,c_330952,c_339603,c_74]) ).
tff(c_339708,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_402,c_408,c_339707]) ).
tff(c_339709,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_339708]) ).
tff(c_339406,plain,
op(op(e3,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_339404,c_194]) ).
tff(c_339710,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_339709,c_339406]) ).
tff(c_339720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_338483,c_339710]) ).
tff(c_339721,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_339708]) ).
tff(c_339556,plain,
op(op(e3,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_339550,c_174]) ).
tff(c_339725,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_339721,c_339556]) ).
tff(c_339734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_339363,c_339725]) ).
tff(c_339735,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_339578]) ).
tff(c_339759,plain,
( ( e4 = e1 )
| ( e1 = e0 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_339735,c_330941,c_64]) ).
tff(c_339760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335666,c_331128,c_339560,c_420,c_408,c_339759]) ).
tff(c_339761,plain,
( ( op(e1,e3) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_339403]) ).
tff(c_339821,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_339761]) ).
tff(c_339824,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_339821,c_335657]) ).
tff(c_339833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_339800,c_339824]) ).
tff(c_339834,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_339761]) ).
tff(c_339365,plain,
op(op(e1,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_339362,c_168]) ).
tff(c_339854,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_339834,c_339365]) ).
tff(c_339863,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_339854]) ).
tff(c_339865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_339863]) ).
tff(c_339866,plain,
( ( op(e1,e3) = e4 )
| ( op(e2,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_339792]) ).
tff(c_339872,plain,
op(e2,e3) = e4,
inference(splitLeft,[status(thm)],[c_339866]) ).
tff(c_339874,plain,
op(e4,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_339872,c_166]) ).
tff(c_339919,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_339918,c_339874]) ).
tff(c_339932,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_339919,c_330941]) ).
tff(c_339934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_339932]) ).
tff(c_339936,plain,
op(e2,e3) != e4,
inference(splitRight,[status(thm)],[c_339866]) ).
tff(c_339935,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_339866]) ).
tff(c_340000,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_339935,c_339761]) ).
tff(c_340001,plain,
op(e4,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_404,c_340000]) ).
tff(c_340004,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340001,c_335657]) ).
tff(c_340012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_339936,c_340004]) ).
tff(c_340013,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_339386]) ).
tff(c_340015,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_340013]) ).
tff(c_340024,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_340015,c_218]) ).
tff(c_340116,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_338476,c_331242,c_96]) ).
tff(c_340117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_406,c_330953,c_340024,c_340116]) ).
tff(c_340118,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_340013]) ).
tff(c_340122,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340118,c_160]) ).
tff(c_340149,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340147,c_340122]) ).
tff(c_340158,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_340149]) ).
tff(c_340160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_340158]) ).
tff(c_340161,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_340146]) ).
tff(c_340164,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340161,c_340122]) ).
tff(c_331133,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_368]) ).
tff(c_340272,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340118,c_330941,c_66]) ).
tff(c_340273,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_331133,c_335663,c_408,c_340272]) ).
tff(c_340278,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340273,c_335657]) ).
tff(c_340327,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_340278,c_339365]) ).
tff(c_340341,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_340327,c_338492]) ).
tff(c_340350,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_340164,c_340341]) ).
tff(c_340351,plain,
( ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 ) ),
inference(splitRight,[status(thm)],[c_338491]) ).
tff(c_340366,plain,
op(op(e0,e3),e3) != e0,
inference(splitLeft,[status(thm)],[c_340351]) ).
tff(c_340471,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_340458,c_340366]) ).
tff(c_340483,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_340455,c_340471]) ).
tff(c_340484,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_340389]) ).
tff(c_340501,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340484,c_340365,c_330941,c_70]) ).
tff(c_340502,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_416,c_418,c_338483,c_414,c_340501]) ).
tff(c_340504,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340502,c_335657]) ).
tff(c_340517,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_340504,c_340366]) ).
tff(c_340529,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_340502,c_340517]) ).
tff(c_340530,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(splitRight,[status(thm)],[c_340351]) ).
tff(c_340649,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e2,e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(e2,e1) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340365,c_340608,c_340605,c_340609,c_340530]) ).
tff(c_340650,plain,
op(e2,e1) != e4,
inference(splitLeft,[status(thm)],[c_340649]) ).
tff(c_340653,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_331262,c_138]) ).
tff(c_340654,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_330956,c_340653]) ).
tff(c_340655,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_340654]) ).
tff(c_340737,plain,
( ( e4 = e2 )
| ( e4 = e0 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340655,c_331126,c_340608,c_340365,c_112]) ).
tff(c_340738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_408,c_340650,c_414,c_404,c_340737]) ).
tff(c_340739,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_340654]) ).
tff(c_340742,plain,
op(e3,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340739,c_160]) ).
tff(c_340856,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340854,c_340742]) ).
tff(c_340865,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_340608,c_340856]) ).
tff(c_340867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_340865]) ).
tff(c_340868,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_340853]) ).
tff(c_340871,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_340868,c_335657]) ).
tff(c_340878,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_340609,c_340871]) ).
tff(c_340880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_340878]) ).
tff(c_340882,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_340649]) ).
tff(c_338477,plain,
op(op(e2,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_338476,c_186]) ).
tff(c_340885,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_340882,c_338477]) ).
tff(c_341126,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_340885,c_382]) ).
tff(c_340891,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_340882,c_378]) ).
tff(c_341469,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_233155,c_331134,c_335704,c_340891,c_48]) ).
tff(c_340886,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_340882,c_338478]) ).
tff(c_340881,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e2,e3) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 ) ),
inference(splitRight,[status(thm)],[c_340649]) ).
tff(c_340897,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e2,e3) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340365,c_340882,c_340881]) ).
tff(c_340898,plain,
op(op(e0,e4),e4) != e0,
inference(splitLeft,[status(thm)],[c_340897]) ).
tff(c_340925,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_340886,c_340898]) ).
tff(c_340907,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_340885,c_216]) ).
tff(c_340890,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_340882,c_250]) ).
tff(c_340953,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331250,c_331143,c_340890,c_24]) ).
tff(c_340954,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_340953]) ).
tff(c_340979,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340609,c_340954,c_330952,c_84]) ).
tff(c_340980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335664,c_412,c_420,c_410,c_340907,c_340979]) ).
tff(c_340981,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_340953]) ).
tff(c_340989,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_340981,c_242]) ).
tff(c_340615,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_340605,c_254]) ).
tff(c_341097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_340925,c_340989,c_331244,c_340615,c_329859,c_22]) ).
tff(c_341099,plain,
op(op(e0,e4),e4) = e0,
inference(splitRight,[status(thm)],[c_340897]) ).
tff(c_341104,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_340886,c_341099]) ).
tff(c_341098,plain,
( ( op(op(e1,e0),e0) != e1 )
| ( op(e2,e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 ) ),
inference(splitRight,[status(thm)],[c_340897]) ).
tff(c_341145,plain,
( ( op(op(e1,e0),e0) != e1 )
| ( op(e2,e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e1,e0) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340885,c_340886,c_341104,c_341098]) ).
tff(c_341146,plain,
op(e1,e0) != e4,
inference(splitLeft,[status(thm)],[c_341145]) ).
tff(c_340616,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_340605,c_392]) ).
tff(c_341158,plain,
( ( op(e1,e4) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_338476,c_340609,c_118]) ).
tff(c_341159,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_340616,c_410,c_416,c_406,c_341158]) ).
tff(c_340532,plain,
op(e2,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_340365,c_182]) ).
tff(c_341161,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_341159,c_340532]) ).
tff(c_341282,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340609,c_341161,c_330952,c_88]) ).
tff(c_341283,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_252838,c_418,c_420,c_416,c_341282]) ).
tff(c_340641,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_340609,c_276]) ).
tff(c_341205,plain,
( ( e2 = e1 )
| ( op(e3,e0) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_340605,c_340885,c_140]) ).
tff(c_341206,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_340641,c_406,c_412,c_341205]) ).
tff(c_341162,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_341159,c_340533]) ).
tff(c_341231,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( e4 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_341206,c_340608,c_341162,c_330952,c_86]) ).
tff(c_341232,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_420,c_408,c_410,c_341231]) ).
tff(c_341235,plain,
op(e1,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_341232,c_154]) ).
tff(c_341285,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_341283,c_341235]) ).
tff(c_341295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_341146,c_341285]) ).
tff(c_341297,plain,
op(e1,e0) = e4,
inference(splitRight,[status(thm)],[c_341145]) ).
tff(c_341300,plain,
op(op(e0,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_341297,c_190]) ).
tff(c_341470,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_341469,c_341300]) ).
tff(c_341381,plain,
( ( op(e1,e4) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_341297,c_331126,c_338476,c_340609,c_118]) ).
tff(c_341382,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_410,c_416,c_406,c_341381]) ).
tff(c_341433,plain,
( ( e3 = e2 )
| ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_331262,c_340886,c_138]) ).
tff(c_341434,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_330956,c_406,c_341433]) ).
tff(c_341435,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_341434,c_341300]) ).
tff(c_341296,plain,
( ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e2,e3) != e1 )
| ( op(op(e1,e0),e0) != e1 ) ),
inference(splitRight,[status(thm)],[c_341145]) ).
tff(c_341325,plain,
( ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e2,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340885,c_341297,c_341296]) ).
tff(c_341326,plain,
op(e2,e3) != e1,
inference(splitLeft,[status(thm)],[c_341325]) ).
tff(c_341334,plain,
( ( op(e1,e4) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_341297,c_331126,c_338476,c_340609,c_118]) ).
tff(c_341335,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_410,c_416,c_406,c_341334]) ).
tff(c_341337,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_341335,c_340532]) ).
tff(c_341344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_341326,c_341337]) ).
tff(c_341346,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_341325]) ).
tff(c_341345,plain,
( ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 ) ),
inference(splitRight,[status(thm)],[c_341325]) ).
tff(c_341369,plain,
( ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_340609,c_341346,c_341345]) ).
tff(c_341370,plain,
op(op(e3,e4),e4) != e3,
inference(splitLeft,[status(thm)],[c_341369]) ).
tff(c_341449,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_341435,c_341370]) ).
tff(c_341458,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_341382,c_341449]) ).
tff(c_341460,plain,
op(op(e3,e4),e4) = e3,
inference(splitRight,[status(thm)],[c_341369]) ).
tff(c_341484,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_341470,c_341460]) ).
tff(c_341511,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_341484,c_340533]) ).
tff(c_341459,plain,
( ( op(op(e3,e2),e2) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 ) ),
inference(splitRight,[status(thm)],[c_341369]) ).
tff(c_341565,plain,
( ( op(e4,e2) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e3,e0) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_341470,c_341484,c_341469,c_341511,c_341459]) ).
tff(c_341566,plain,
op(e3,e0) != e2,
inference(splitLeft,[status(thm)],[c_341565]) ).
tff(c_341304,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_341297,c_390]) ).
tff(c_341603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252828,c_341126,c_341566,c_330954,c_341304,c_20]) ).
tff(c_341605,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_341565]) ).
tff(c_341301,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_341297,c_198]) ).
tff(c_341471,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_341469,c_341301]) ).
tff(c_341500,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_341471,c_335657]) ).
tff(c_341524,plain,
op(e4,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_341500,c_170]) ).
tff(c_341606,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_341605,c_341524]) ).
tff(c_341604,plain,
( ( op(op(e3,e0),e0) != e3 )
| ( op(e4,e2) != e3 ) ),
inference(splitRight,[status(thm)],[c_341565]) ).
tff(c_341632,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_341606,c_340605,c_341605,c_341604]) ).
tff(c_341633,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_335703]) ).
tff(c_342357,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_342346,c_341633]) ).
tff(c_342359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_342357]) ).
tff(c_342360,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_342340]) ).
tff(c_342370,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_342360,c_290]) ).
tff(c_342366,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_342360,c_326252]) ).
tff(c_342229,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331262,c_338476,c_331242,c_96]) ).
tff(c_342230,plain,
op(e4,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_406,c_330953,c_342229]) ).
tff(c_342671,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_342366,c_342230,c_330941,c_66]) ).
tff(c_342672,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_410,c_408,c_342671]) ).
tff(c_342673,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_342672]) ).
tff(c_342386,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_342366,c_364]) ).
tff(c_342697,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_110]) ).
tff(c_342698,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_342386,c_418,c_342697]) ).
tff(c_342699,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_342698]) ).
tff(c_340352,plain,
op(op(e4,e2),e2) = e4,
inference(splitRight,[status(thm)],[c_338491]) ).
tff(c_342231,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342230,c_340352]) ).
tff(c_342250,plain,
op(e4,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_342231,c_174]) ).
tff(c_342701,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_342699,c_342250]) ).
tff(c_342710,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_342673,c_342701]) ).
tff(c_342712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_342710]) ).
tff(c_342713,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_342698]) ).
tff(c_342235,plain,
op(op(e2,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342230,c_156]) ).
tff(c_342715,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342713,c_342235]) ).
tff(c_342726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_342370,c_342715]) ).
tff(c_342727,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_342672]) ).
tff(c_342964,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_342727,c_324]) ).
tff(c_342960,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342727,c_335657]) ).
tff(c_342981,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_342960,c_332]) ).
tff(c_343391,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_342964,c_331250,c_331143,c_342981,c_24]) ).
tff(c_343395,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_343391,c_342250]) ).
tff(c_342728,plain,
op(e4,e0) != e1,
inference(splitRight,[status(thm)],[c_342672]) ).
tff(c_342241,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_342230,c_218]) ).
tff(c_342813,plain,
op(e4,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_208865,c_342728,c_342241,c_330950,c_10]) ).
tff(c_342410,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_342366,c_342230,c_330941,c_66]) ).
tff(c_342411,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_410,c_408,c_342410]) ).
tff(c_342412,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_342411]) ).
tff(c_342434,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_110]) ).
tff(c_342435,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_342386,c_418,c_342434]) ).
tff(c_342436,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_342435]) ).
tff(c_342438,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_342436,c_342250]) ).
tff(c_342447,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_342412,c_342438]) ).
tff(c_342449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_342447]) ).
tff(c_342450,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_342435]) ).
tff(c_342452,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342450,c_342235]) ).
tff(c_342463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_342370,c_342452]) ).
tff(c_342464,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_342411]) ).
tff(c_342467,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342464,c_335657]) ).
tff(c_341635,plain,
op(e2,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_341633,c_184]) ).
tff(c_342480,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_342467,c_341635]) ).
tff(c_342510,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_342480,c_110]) ).
tff(c_342511,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_164529,c_342386,c_418,c_420,c_342510]) ).
tff(c_342249,plain,
op(op(e2,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_342231,c_166]) ).
tff(c_342514,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_342511,c_342249]) ).
tff(c_342277,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_331134,c_335704,c_48]) ).
tff(c_342278,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_342277]) ).
tff(c_342283,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_342278,c_326252]) ).
tff(c_342294,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_342283,c_341633]) ).
tff(c_342296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_342294]) ).
tff(c_342297,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_342277]) ).
tff(c_342303,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_342297,c_326252]) ).
tff(c_341938,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_84]) ).
tff(c_341939,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_335664,c_255416,c_410,c_341938]) ).
tff(c_341940,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_341939]) ).
tff(c_341947,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_341940,c_242]) ).
tff(c_342036,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_338484,c_255416,c_330962,c_34]) ).
tff(c_342037,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_342036]) ).
tff(c_341636,plain,
op(op(e1,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_341633,c_168]) ).
tff(c_342039,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_342037,c_341636]) ).
tff(c_342046,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_342039]) ).
tff(c_342048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_342046]) ).
tff(c_342049,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_342036]) ).
tff(c_342052,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_342049,c_341635]) ).
tff(c_342061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_341947,c_342052]) ).
tff(c_342062,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_341939]) ).
tff(c_341659,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_341633,c_330952,c_90]) ).
tff(c_341660,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_252828,c_418,c_338482,c_416,c_341659]) ).
tff(c_341662,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_341660,c_154]) ).
tff(c_342066,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342062,c_341662]) ).
tff(c_342105,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_342066,c_326252]) ).
tff(c_342146,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_342105,c_364]) ).
tff(c_342108,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_342066,c_378]) ).
tff(c_342180,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_342146,c_331132,c_331248,c_342108,c_28]) ).
tff(c_342184,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_342180,c_338478]) ).
tff(c_341653,plain,
( ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_341633,c_340351]) ).
tff(c_341654,plain,
op(op(e0,e3),e3) != e0,
inference(splitLeft,[status(thm)],[c_341653]) ).
tff(c_342197,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_342184,c_341654]) ).
tff(c_342067,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342062,c_335657]) ).
tff(c_342091,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_342067,c_341635]) ).
tff(c_342215,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_342180,c_331242,c_342091,c_110]) ).
tff(c_342216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164529,c_416,c_418,c_342197,c_420,c_342215]) ).
tff(c_342217,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(splitRight,[status(thm)],[c_341653]) ).
tff(c_342271,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_342230,c_342231,c_342217]) ).
tff(c_342272,plain,
op(op(e4,e1),e1) != e4,
inference(splitLeft,[status(thm)],[c_342271]) ).
tff(c_342315,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_342303,c_342272]) ).
tff(c_342327,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_342297,c_342315]) ).
tff(c_342328,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 ) ),
inference(splitRight,[status(thm)],[c_342271]) ).
tff(c_342409,plain,
op(op(e0,e4),e4) != e0,
inference(splitLeft,[status(thm)],[c_342328]) ).
tff(c_342525,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_342514,c_342409]) ).
tff(c_342498,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_342480,c_254]) ).
tff(c_342561,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_342511,c_342480,c_98]) ).
tff(c_342562,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_416,c_410,c_342561]) ).
tff(c_342563,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_342562]) ).
tff(c_342566,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_342563,c_335660]) ).
tff(c_342576,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_342566,c_342467]) ).
tff(c_342578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_342576]) ).
tff(c_342580,plain,
op(e2,e0) != e3,
inference(splitRight,[status(thm)],[c_342562]) ).
tff(c_342592,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_164529,c_342498,c_331245,c_342580,c_30]) ).
tff(c_342596,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_342592,c_335660]) ).
tff(c_342663,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_342514,c_342596,c_342480,c_330941,c_68]) ).
tff(c_342664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_418,c_420,c_342525,c_414,c_342663]) ).
tff(c_342665,plain,
( ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 ) ),
inference(splitRight,[status(thm)],[c_342328]) ).
tff(c_342729,plain,
op(op(e4,e0),e0) != e4,
inference(splitLeft,[status(thm)],[c_342665]) ).
tff(c_342814,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_342813,c_342729]) ).
tff(c_342731,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342727,c_335657]) ).
tff(c_342744,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_342731,c_341635]) ).
tff(c_342849,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( e1 = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_342744,c_330941,c_68]) ).
tff(c_342850,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_50476,c_338481,c_420,c_414,c_342849]) ).
tff(c_342733,plain,
op(e1,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_342727,c_162]) ).
tff(c_342851,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_342850,c_342733]) ).
tff(c_342869,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_342851,c_274]) ).
tff(c_342947,plain,
op(e1,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_338481,c_331128,c_342869,c_330944,c_32]) ).
tff(c_342382,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342366,c_158]) ).
tff(c_342950,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_342947,c_342382]) ).
tff(c_342956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_342814,c_342950]) ).
tff(c_342958,plain,
op(op(e4,e0),e0) = e4,
inference(splitRight,[status(thm)],[c_342665]) ).
tff(c_343418,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_343395,c_342958]) ).
tff(c_342973,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_342960,c_341635]) ).
tff(c_343507,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_343418,c_331242,c_343391,c_342973,c_98]) ).
tff(c_343508,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_416,c_410,c_343507]) ).
tff(c_343394,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_343391,c_342249]) ).
tff(c_342666,plain,
op(op(e0,e4),e4) = e0,
inference(splitRight,[status(thm)],[c_342328]) ).
tff(c_343405,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_343394,c_342666]) ).
tff(c_342962,plain,
op(e1,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_342727,c_162]) ).
tff(c_343432,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_343405,c_342962]) ).
tff(c_343034,plain,
( ( op(e1,e4) = e3 )
| ( e4 = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_338476,c_342960,c_118]) ).
tff(c_343035,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_402,c_343034]) ).
tff(c_343036,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_343035]) ).
tff(c_342957,plain,
( ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e0),e0) != e1 ) ),
inference(splitRight,[status(thm)],[c_342665]) ).
tff(c_343032,plain,
( ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e1,e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e0),e0) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_342727,c_342960,c_342973,c_342957]) ).
tff(c_343033,plain,
op(op(e1,e0),e0) != e1,
inference(splitLeft,[status(thm)],[c_343032]) ).
tff(c_343037,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_343036,c_343033]) ).
tff(c_341641,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_341633,c_240]) ).
tff(c_342252,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_342231,c_238]) ).
tff(c_343193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252828,c_343037,c_341641,c_330954,c_342252,c_20]) ).
tff(c_343194,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_343035]) ).
tff(c_342381,plain,
op(e0,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_342366,c_182]) ).
tff(c_343196,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_343194,c_342381]) ).
tff(c_343205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335664,c_343196]) ).
tff(c_343207,plain,
op(op(e1,e0),e0) = e1,
inference(splitRight,[status(thm)],[c_343032]) ).
tff(c_343459,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_343432,c_343207]) ).
tff(c_343447,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_343418,c_335660]) ).
tff(c_342978,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_342960,c_276]) ).
tff(c_343356,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_132]) ).
tff(c_343357,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_342978,c_342252,c_330950,c_343356]) ).
tff(c_343360,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_343357,c_335660]) ).
tff(c_343238,plain,
( ( op(e1,e4) = e3 )
| ( e4 = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_338476,c_342960,c_118]) ).
tff(c_343239,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_402,c_343238]) ).
tff(c_343240,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_343239]) ).
tff(c_342364,plain,
op(op(e1,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_342360,c_198]) ).
tff(c_343244,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_343240,c_342364]) ).
tff(c_343206,plain,
( ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e1,e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e4),e4) != e3 ) ),
inference(splitRight,[status(thm)],[c_343032]) ).
tff(c_343212,plain,
op(op(e3,e4),e4) != e3,
inference(splitLeft,[status(thm)],[c_343206]) ).
tff(c_343272,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_343244,c_343212]) ).
tff(c_343215,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_252828,c_341641,c_330954,c_342252,c_20]) ).
tff(c_343256,plain,
( ( op(e4,e0) = e4 )
| ( e4 = e1 )
| ( op(e2,e0) = e4 )
| ( e4 = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_343240,c_343215,c_132]) ).
tff(c_343257,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_408,c_330950,c_343256]) ).
tff(c_343261,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_343257,c_335660]) ).
tff(c_343292,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_343261,c_320]) ).
tff(c_343300,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e4 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_342360,c_331262,c_142]) ).
tff(c_343301,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_412,c_343292,c_343300]) ).
tff(c_342218,plain,
op(op(e0,e3),e3) = e0,
inference(splitRight,[status(thm)],[c_341653]) ).
tff(c_343305,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_343301,c_342218]) ).
tff(c_343331,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_343305,c_342249]) ).
tff(c_343336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343272,c_343331]) ).
tff(c_343337,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_343239]) ).
tff(c_343339,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_343337,c_342381]) ).
tff(c_343348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335664,c_343339]) ).
tff(c_343349,plain,
( ( op(e2,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e1,e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 ) ),
inference(splitRight,[status(thm)],[c_343206]) ).
tff(c_343355,plain,
op(op(e1,e4),e4) != e1,
inference(splitLeft,[status(thm)],[c_343349]) ).
tff(c_343373,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_343360,c_343355]) ).
tff(c_343384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_342973,c_343373]) ).
tff(c_343385,plain,
( ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e1,e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e2,e1) != e3 ) ),
inference(splitRight,[status(thm)],[c_343349]) ).
tff(c_343521,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_343508,c_343432,c_343459,c_343447,c_343391,c_341633,c_343508,c_343395,c_343418,c_343385]) ).
tff(c_343512,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_343508,c_338478]) ).
tff(c_343522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343521,c_343512]) ).
tff(c_343523,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_331261]) ).
tff(c_343525,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_343523]) ).
tff(c_343524,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_331261]) ).
tff(c_351029,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_96]) ).
tff(c_351030,plain,
( ( op(e4,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_330953,c_351029]) ).
tff(c_351031,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_351030]) ).
tff(c_351037,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_351031,c_360]) ).
tff(c_343533,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_318]) ).
tff(c_351081,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_331245,c_30]) ).
tff(c_351082,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_351081]) ).
tff(c_351036,plain,
op(e3,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_351031,c_180]) ).
tff(c_351083,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_351082,c_351036]) ).
tff(c_348135,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_330950,c_10]) ).
tff(c_348136,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_348135]) ).
tff(c_343526,plain,
op(e1,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_160]) ).
tff(c_348137,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_348136,c_343526]) ).
tff(c_348147,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_348137]) ).
tff(c_348149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_348147]) ).
tff(c_348150,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_348135]) ).
tff(c_348152,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_348150]) ).
tff(c_343527,plain,
op(op(e4,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_192]) ).
tff(c_348155,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_348152,c_343527]) ).
tff(c_348175,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_348155,c_232]) ).
tff(c_348161,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_348152,c_218]) ).
tff(c_348154,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_348152,c_343526]) ).
tff(c_348200,plain,
( ( op(e1,e4) = e0 )
| ( e4 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_348154,c_130]) ).
tff(c_348201,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_414,c_348200]) ).
tff(c_348202,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_348201]) ).
tff(c_348494,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348202,c_331242,c_96]) ).
tff(c_348495,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_406,c_330953,c_348161,c_348494]) ).
tff(c_343530,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_282]) ).
tff(c_346613,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_84]) ).
tff(c_346614,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_343530,c_255416,c_410,c_346613]) ).
tff(c_346615,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_346614]) ).
tff(c_346619,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_346615,c_324]) ).
tff(c_346640,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_62]) ).
tff(c_346641,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331251,c_404,c_346640]) ).
tff(c_346642,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_346641]) ).
tff(c_346644,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_346642,c_343527]) ).
tff(c_346679,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_346644,c_364]) ).
tff(c_346735,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_346642,c_330941,c_70]) ).
tff(c_346736,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_346679,c_414,c_346735]) ).
tff(c_346737,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_346736]) ).
tff(c_346764,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( e1 = e0 )
| ( op(e4,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_346642,c_346737,c_330941,c_66]) ).
tff(c_346765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_331133,c_420,c_346619,c_408,c_346764]) ).
tff(c_346766,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_346736]) ).
tff(c_343534,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_316]) ).
tff(c_346698,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_343534,c_330957,c_330943,c_12]) ).
tff(c_346699,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_346698]) ).
tff(c_346701,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_346699,c_154]) ).
tff(c_346768,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_346766,c_346701]) ).
tff(c_346779,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_346768]) ).
tff(c_346781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_346779]) ).
tff(c_346782,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_346698]) ).
tff(c_346791,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_346782,c_228]) ).
tff(c_346649,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_346642,c_220]) ).
tff(c_346844,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_346644,c_120]) ).
tff(c_346845,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_418,c_346791,c_346649,c_346844]) ).
tff(c_331130,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_280]) ).
tff(c_346647,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_346642,c_388]) ).
tff(c_346643,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_346642,c_343526]) ).
tff(c_346693,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_346643,c_278]) ).
tff(c_346822,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_85117,c_331130,c_346647,c_346693,c_40]) ).
tff(c_346826,plain,
op(e3,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_346822,c_198]) ).
tff(c_346846,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_346845,c_346826]) ).
tff(c_346869,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_346846,c_342]) ).
tff(c_346902,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_346642,c_330941,c_70]) ).
tff(c_346903,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_346679,c_346869,c_414,c_346902]) ).
tff(c_346787,plain,
op(op(e4,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_346782,c_162]) ).
tff(c_346905,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_346903,c_346787]) ).
tff(c_345593,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_343534,c_330957,c_330943,c_12]) ).
tff(c_345594,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_345593]) ).
tff(c_345609,plain,
( ( e4 = e2 )
| ( e2 = e0 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_345594,c_330941,c_60]) ).
tff(c_345610,plain,
op(e1,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_331244,c_418,c_404,c_345609]) ).
tff(c_345602,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_345594,c_224]) ).
tff(c_345658,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_345602,c_331249,c_330953,c_16]) ).
tff(c_345659,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_345658]) ).
tff(c_343551,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_84]) ).
tff(c_343552,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_343530,c_255416,c_410,c_343551]) ).
tff(c_343553,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_343552]) ).
tff(c_343556,plain,
op(op(e3,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_343553,c_174]) ).
tff(c_345661,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_345659,c_343556]) ).
tff(c_345669,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_345661]) ).
tff(c_345671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_345669]) ).
tff(c_345672,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_345658]) ).
tff(c_343555,plain,
op(e1,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_343553,c_166]) ).
tff(c_345677,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_345672,c_343555]) ).
tff(c_345684,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_345610,c_345677]) ).
tff(c_345686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_345684]) ).
tff(c_345687,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_345593]) ).
tff(c_343557,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_343553,c_324]) ).
tff(c_345200,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_343530,c_330956,c_44]) ).
tff(c_345201,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_345200]) ).
tff(c_343938,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331132,c_331248,c_28]) ).
tff(c_343939,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_343938]) ).
tff(c_343946,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_343939,c_366]) ).
tff(c_343576,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_330954,c_20]) ).
tff(c_343577,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_343576]) ).
tff(c_343587,plain,
op(e4,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_343577,c_382]) ).
tff(c_343602,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_120]) ).
tff(c_343603,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_331248,c_343602]) ).
tff(c_343604,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_343603]) ).
tff(c_343608,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_343604,c_326252]) ).
tff(c_343627,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_343608,c_366]) ).
tff(c_343612,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_343604,c_290]) ).
tff(c_343709,plain,
op(e0,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_252838,c_343530,c_343612,c_330956,c_44]) ).
tff(c_331246,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_358]) ).
tff(c_343662,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_343587,c_330950,c_10]) ).
tff(c_343663,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_343662]) ).
tff(c_343665,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_343663,c_343526]) ).
tff(c_343684,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_343665,c_360]) ).
tff(c_343871,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_130110,c_343524,c_331246,c_343684,c_46]) ).
tff(c_343559,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_343553,c_256]) ).
tff(c_343625,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_343608,c_248]) ).
tff(c_343648,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_343625,c_343533,c_331244,c_329859,c_22]) ).
tff(c_343655,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_343648,c_254]) ).
tff(c_343821,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_164529,c_343559,c_331245,c_343655,c_30]) ).
tff(c_343825,plain,
op(e4,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_343821,c_196]) ).
tff(c_343873,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_343871,c_343825]) ).
tff(c_343549,plain,
( ( op(op(e0,e2),e2) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(e1,e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e3),e3) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_330941,c_330952,c_330952,c_331242,c_331242,c_331126,c_331126,c_343525,c_326251]) ).
tff(c_343550,plain,
op(op(e4,e3),e3) != e4,
inference(splitLeft,[status(thm)],[c_343549]) ).
tff(c_343888,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_343873,c_343550]) ).
tff(c_343895,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_343709,c_343888]) ).
tff(c_343896,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_343662]) ).
tff(c_343901,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_343896,c_343527]) ).
tff(c_343910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343627,c_343901]) ).
tff(c_343911,plain,
( ( op(e3,e1) = e2 )
| ( op(e4,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_343603]) ).
tff(c_343913,plain,
op(e4,e1) = e2,
inference(splitLeft,[status(thm)],[c_343911]) ).
tff(c_343923,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_343913,c_220]) ).
tff(c_343960,plain,
op(e4,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_208865,c_343587,c_343923,c_330950,c_10]) ).
tff(c_343964,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_343960,c_343527]) ).
tff(c_343972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343946,c_343964]) ).
tff(c_343973,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_343938]) ).
tff(c_343975,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_343973]) ).
tff(c_343983,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_343975,c_366]) ).
tff(c_344016,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_343533,c_331244,c_329859,c_22]) ).
tff(c_344017,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_344016]) ).
tff(c_344025,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_344017,c_312]) ).
tff(c_344044,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_130]) ).
tff(c_344045,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_344025,c_344044]) ).
tff(c_344046,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_344045]) ).
tff(c_343978,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_343975,c_186]) ).
tff(c_344047,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_344046,c_343978]) ).
tff(c_344058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343587,c_344047]) ).
tff(c_344059,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_344045]) ).
tff(c_343921,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_343913,c_362]) ).
tff(c_18,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_343989,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331135,c_343921,c_330955,c_18]) ).
tff(c_343990,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_343989]) ).
tff(c_343993,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_343990,c_184]) ).
tff(c_344061,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_344059,c_343993]) ).
tff(c_344070,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_344061]) ).
tff(c_344072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_344070]) ).
tff(c_344073,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_344016]) ).
tff(c_344083,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_344073,c_312]) ).
tff(c_343998,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_343990,c_228]) ).
tff(c_344100,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_343998,c_343534,c_330957,c_330943,c_12]) ).
tff(c_344113,plain,
( ( e4 = e2 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( e4 = e0 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_343577,c_343990,c_330952,c_344100,c_74]) ).
tff(c_344114,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_402,c_404,c_344113]) ).
tff(c_344118,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_344114,c_343555]) ).
tff(c_344126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_344083,c_344118]) ).
tff(c_344127,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_343989]) ).
tff(c_344129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343983,c_344127]) ).
tff(c_344130,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_343973]) ).
tff(c_344138,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_344130,c_248]) ).
tff(c_344432,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_343533,c_331244,c_344138,c_329859,c_22]) ).
tff(c_344440,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_344432,c_312]) ).
tff(c_344146,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_343534,c_330957,c_330943,c_12]) ).
tff(c_344147,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_344146]) ).
tff(c_344154,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_344147,c_228]) ).
tff(c_344396,plain,
( ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_344130,c_343913,c_128]) ).
tff(c_344397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_416,c_344154,c_418,c_344396]) ).
tff(c_344398,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_344146]) ).
tff(c_344405,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_344398,c_310]) ).
tff(c_344453,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_344440,c_331128,c_344405,c_330944,c_32]) ).
tff(c_344459,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_344453,c_264]) ).
tff(c_343915,plain,
op(op(e1,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_343913,c_158]) ).
tff(c_344457,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344453,c_343915]) ).
tff(c_344473,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_344457,c_350]) ).
tff(c_344483,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_331131,c_331127,c_344459,c_344473,c_36]) ).
tff(c_344522,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_344483,c_331242,c_344457,c_104]) ).
tff(c_344523,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_343524,c_420,c_412,c_408,c_344522]) ).
tff(c_344436,plain,
op(e0,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344432,c_156]) ).
tff(c_344526,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344523,c_344436]) ).
tff(c_344550,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_344526,c_326255]) ).
tff(c_344558,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_344550]) ).
tff(c_344559,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_343911]) ).
tff(c_344718,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_343533,c_331244,c_329859,c_22]) ).
tff(c_344719,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_344718]) ).
tff(c_343582,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_343577,c_238]) ).
tff(c_344560,plain,
op(e4,e1) != e2,
inference(splitRight,[status(thm)],[c_343911]) ).
tff(c_344584,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_92]) ).
tff(c_344585,plain,
( ( op(e3,e2) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_330938,c_344584]) ).
tff(c_344586,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_344585]) ).
tff(c_344591,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_344586,c_360]) ).
tff(c_344609,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_343587,c_330950,c_10]) ).
tff(c_344610,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_344609]) ).
tff(c_344612,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344610,c_343526]) ).
tff(c_344622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_344591,c_344612]) ).
tff(c_344623,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_344609]) ).
tff(c_344627,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344623,c_343526]) ).
tff(c_344561,plain,
op(e2,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_344559,c_184]) ).
tff(c_344641,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_344627,c_344561]) ).
tff(c_344650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343533,c_344641]) ).
tff(c_344651,plain,
( ( op(e1,e2) = e4 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_344585]) ).
tff(c_344653,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_344651]) ).
tff(c_344655,plain,
op(e4,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_344653,c_343556]) ).
tff(c_344664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_344560,c_344655]) ).
tff(c_344665,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_344651]) ).
tff(c_344695,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_344665,c_331242,c_104]) ).
tff(c_344696,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_343524,c_408,c_412,c_343582,c_344695]) ).
tff(c_344698,plain,
op(op(e2,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344696,c_156]) ).
tff(c_344721,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344719,c_344698]) ).
tff(c_344749,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_344721,c_326255]) ).
tff(c_344759,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_344749]) ).
tff(c_344760,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_344718]) ).
tff(c_344763,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344760,c_344698]) ).
tff(c_344771,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_344559,c_344763]) ).
tff(c_344773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_344771]) ).
tff(c_344774,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_343576]) ).
tff(c_344776,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_344774]) ).
tff(c_344778,plain,
op(e4,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_344776,c_194]) ).
tff(c_345213,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_345201,c_344778]) ).
tff(c_345221,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_345213,c_348]) ).
tff(c_345293,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_345213,c_96]) ).
tff(c_345294,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_330953,c_416,c_345293]) ).
tff(c_345295,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_345294]) ).
tff(c_345313,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_345295,c_360]) ).
tff(c_345290,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( e3 = e0 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_345213,c_330941,c_58]) ).
tff(c_345291,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_331142,c_402,c_345290]) ).
tff(c_345292,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_345291]) ).
tff(c_345296,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_345292,c_343526]) ).
tff(c_345328,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_345296,c_266]) ).
tff(c_345390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_345221,c_331131,c_331127,c_345313,c_345328,c_36]) ).
tff(c_345391,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_345294]) ).
tff(c_344779,plain,
op(op(e0,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_344776,c_170]) ).
tff(c_345244,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_345201,c_344779]) ).
tff(c_345249,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_345244,c_248]) ).
tff(c_344792,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331132,c_331248,c_28]) ).
tff(c_344793,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_344792]) ).
tff(c_344801,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_344793,c_366]) ).
tff(c_344815,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_330941,c_60]) ).
tff(c_344816,plain,
( ( op(e3,e4) = e2 )
| ( op(e1,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_331244,c_404,c_344815]) ).
tff(c_344817,plain,
op(e1,e4) = e2,
inference(splitLeft,[status(thm)],[c_344816]) ).
tff(c_344825,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_344817,c_310]) ).
tff(c_345032,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_343534,c_344825,c_330957,c_330943,c_12]) ).
tff(c_345057,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_344776,c_330952,c_345032,c_82]) ).
tff(c_345058,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_404,c_331249,c_406,c_418,c_345057]) ).
tff(c_344782,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_344776,c_238]) ).
tff(c_344847,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_92]) ).
tff(c_344848,plain,
( ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_344782,c_330938,c_344847]) ).
tff(c_344849,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_344848]) ).
tff(c_344854,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_344849,c_360]) ).
tff(c_344876,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_330950,c_10]) ).
tff(c_344877,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_344876]) ).
tff(c_344878,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344877,c_343526]) ).
tff(c_344887,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_344878]) ).
tff(c_344889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_344887]) ).
tff(c_344890,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_344876]) ).
tff(c_344892,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_344890]) ).
tff(c_344895,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_344892,c_343527]) ).
tff(c_344904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_344801,c_344895]) ).
tff(c_344905,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_344890]) ).
tff(c_344909,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_344905,c_343526]) ).
tff(c_344919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_344854,c_344909]) ).
tff(c_344920,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_344848]) ).
tff(c_344994,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_344920,c_344817,c_130]) ).
tff(c_344995,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_414,c_418,c_344994]) ).
tff(c_344998,plain,
op(op(e3,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_344995,c_184]) ).
tff(c_345060,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_345058,c_344998]) ).
tff(c_345069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343559,c_345060]) ).
tff(c_345070,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_344816]) ).
tff(c_345078,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_345070,c_228]) ).
tff(c_344783,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_344776,c_240]) ).
tff(c_345197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_344801,c_331135,c_345078,c_330955,c_344783,c_18]) ).
tff(c_345198,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_344792]) ).
tff(c_345268,plain,
op(e2,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_345249,c_345198]) ).
tff(c_345272,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_345268,c_186]) ).
tff(c_345422,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_345391,c_345272]) ).
tff(c_345432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343557,c_345422]) ).
tff(c_345434,plain,
op(e4,e0) != e3,
inference(splitRight,[status(thm)],[c_345291]) ).
tff(c_345478,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e1,e3) = e4 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_345201,c_343553,c_330952,c_72]) ).
tff(c_345479,plain,
op(e1,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_402,c_331145,c_345478]) ).
tff(c_345199,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_344792]) ).
tff(c_345217,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_345213,c_212]) ).
tff(c_345228,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_128]) ).
tff(c_345229,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_345199,c_345217,c_345228]) ).
tff(c_345232,plain,
op(op(e1,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_345229,c_168]) ).
tff(c_345480,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_345479,c_345232]) ).
tff(c_345490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_345434,c_345480]) ).
tff(c_345491,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_345200]) ).
tff(c_345573,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_345491,c_344778]) ).
tff(c_345574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_345573]) ).
tff(c_345575,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_344774]) ).
tff(c_345587,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_345575,c_234]) ).
tff(c_345706,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_345687,c_345587]) ).
tff(c_345707,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_343552]) ).
tff(c_345709,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_345707,c_343550]) ).
tff(c_345732,plain,
( ( e4 = e1 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_345707,c_72]) ).
tff(c_345733,plain,
( ( op(e2,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_345709,c_402,c_408,c_345732]) ).
tff(c_345734,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_345733]) ).
tff(c_346491,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_345734,c_330952,c_345707,c_80]) ).
tff(c_346492,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_404,c_331250,c_406,c_412,c_346491]) ).
tff(c_346497,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_346492,c_262]) ).
tff(c_345714,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_345707,c_206]) ).
tff(c_345756,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_330954,c_20]) ).
tff(c_345757,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_345756]) ).
tff(c_345736,plain,
op(op(e3,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_345734,c_194]) ).
tff(c_345758,plain,
op(e1,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_345757,c_345736]) ).
tff(c_345796,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_345758,c_330941,c_60]) ).
tff(c_345797,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_418,c_331244,c_404,c_345796]) ).
tff(c_345711,plain,
op(e1,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_345707,c_162]) ).
tff(c_345799,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_345797,c_345711]) ).
tff(c_345762,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_345757,c_238]) ).
tff(c_345923,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_345762,c_331249,c_330953,c_16]) ).
tff(c_345924,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_345923]) ).
tff(c_345931,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_345924,c_342]) ).
tff(c_345941,plain,
( ( e2 = e1 )
| ( e4 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_345734,c_343525,c_142]) ).
tff(c_345942,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_331246,c_404,c_412,c_345941]) ).
tff(c_345845,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_345734,c_330952,c_345707,c_80]) ).
tff(c_345846,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_404,c_331250,c_406,c_412,c_345845]) ).
tff(c_345894,plain,
( ( e4 = e0 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_345799,c_345846,c_345758,c_114]) ).
tff(c_345895,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_404,c_414,c_345894]) ).
tff(c_345899,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_345895,c_198]) ).
tff(c_345943,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_345942,c_345899]) ).
tff(c_345954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_345931,c_345943]) ).
tff(c_345955,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_345923]) ).
tff(c_345980,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_345799,c_331242,c_345955,c_104]) ).
tff(c_345981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343524,c_410,c_412,c_408,c_345714,c_345980]) ).
tff(c_345982,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_345756]) ).
tff(c_345984,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_345982]) ).
tff(c_345986,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_345984,c_345736]) ).
tff(c_346002,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_345986,c_330941]) ).
tff(c_346004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_346002]) ).
tff(c_346005,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_345982]) ).
tff(c_346017,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_346005,c_234]) ).
tff(c_346009,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_346005,c_345736]) ).
tff(c_346509,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( e2 = e0 )
| ( op(e1,e4) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_346009,c_330941,c_60]) ).
tff(c_346510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_346497,c_418,c_346017,c_404,c_346509]) ).
tff(c_346511,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_345733]) ).
tff(c_346520,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_346511,c_250]) ).
tff(c_346551,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_343534,c_330957,c_330943,c_12]) ).
tff(c_346552,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_346551]) ).
tff(c_345710,plain,
op(op(e3,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_345707,c_154]) ).
tff(c_346553,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_346552,c_345710]) ).
tff(c_346579,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_346553,c_326255]) ).
tff(c_346590,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_346579]) ).
tff(c_346591,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_346551]) ).
tff(c_346596,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_346591,c_345710]) ).
tff(c_346606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_346520,c_346596]) ).
tff(c_346607,plain,
( ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e1,e4) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e2),e2) != e0 ) ),
inference(splitRight,[status(thm)],[c_343549]) ).
tff(c_346630,plain,
( ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e1,e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e1,e4) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e2),e2) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_346615,c_346607]) ).
tff(c_346631,plain,
op(op(e0,e2),e2) != e0,
inference(splitLeft,[status(thm)],[c_346630]) ).
tff(c_346931,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_346905,c_346631]) ).
tff(c_346939,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_346846,c_346931]) ).
tff(c_346940,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_346641]) ).
tff(c_346942,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_346940]) ).
tff(c_346608,plain,
op(op(e4,e3),e3) = e4,
inference(splitRight,[status(thm)],[c_343549]) ).
tff(c_346947,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_346942,c_346608]) ).
tff(c_346957,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_346615,c_346947]) ).
tff(c_346959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_346957]) ).
tff(c_346961,plain,
op(e4,e3) != e2,
inference(splitRight,[status(thm)],[c_346940]) ).
tff(c_347791,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331131,c_331127,c_36]) ).
tff(c_347792,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_347791]) ).
tff(c_346941,plain,
op(e4,e0) != e2,
inference(splitRight,[status(thm)],[c_346641]) ).
tff(c_347651,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_346941,c_330950,c_10]) ).
tff(c_347652,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_347651]) ).
tff(c_347654,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_347652,c_343526]) ).
tff(c_347662,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_347654]) ).
tff(c_347664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_347662]) ).
tff(c_347665,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_347651]) ).
tff(c_347669,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_347665,c_343526]) ).
tff(c_347688,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_347669,c_266]) ).
tff(c_347697,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331131,c_331127,c_347688,c_36]) ).
tff(c_347698,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_347697]) ).
tff(c_346621,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_346615,c_256]) ).
tff(c_347073,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_130]) ).
tff(c_347074,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_347073]) ).
tff(c_347075,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_347074]) ).
tff(c_346984,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331132,c_331248,c_28]) ).
tff(c_346985,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_346984]) ).
tff(c_346988,plain,
op(op(e1,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_346985,c_178]) ).
tff(c_347076,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347075,c_346988]) ).
tff(c_347086,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_347076]) ).
tff(c_347088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_347086]) ).
tff(c_347089,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_347074]) ).
tff(c_347091,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_347089]) ).
tff(c_346960,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_346940]) ).
tff(c_346962,plain,
op(e2,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_346960,c_182]) ).
tff(c_347094,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_347091,c_346962]) ).
tff(c_347102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_346621,c_347094]) ).
tff(c_347103,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_347089]) ).
tff(c_346991,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_346985,c_248]) ).
tff(c_347188,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_346991,c_343533,c_331244,c_329859,c_22]) ).
tff(c_347149,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e2 = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_346960,c_330941,c_66]) ).
tff(c_347150,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_346619,c_408,c_347149]) ).
tff(c_347151,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_347150]) ).
tff(c_347153,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_347151,c_343526]) ).
tff(c_347160,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_347153]) ).
tff(c_347162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_347160]) ).
tff(c_347163,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_347150]) ).
tff(c_347167,plain,
op(e1,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347163,c_172]) ).
tff(c_347189,plain,
op(e1,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347188,c_347167]) ).
tff(c_347197,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_347103,c_347189]) ).
tff(c_347199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_347197]) ).
tff(c_347200,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_346984]) ).
tff(c_347202,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_347200]) ).
tff(c_347206,plain,
op(op(e1,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347202,c_178]) ).
tff(c_347701,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347698,c_347206]) ).
tff(c_347709,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_347701]) ).
tff(c_347711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_347709]) ).
tff(c_347712,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_347697]) ).
tff(c_347205,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_347202,c_186]) ).
tff(c_347716,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_347712,c_347205]) ).
tff(c_347726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_346619,c_347716]) ).
tff(c_347727,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_347200]) ).
tff(c_347733,plain,
op(op(e1,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347727,c_178]) ).
tff(c_347793,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347792,c_347733]) ).
tff(c_347775,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_346615,c_330952,c_72]) ).
tff(c_347776,plain,
( ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_331145,c_347775]) ).
tff(c_347777,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_347776]) ).
tff(c_347819,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347793,c_347777]) ).
tff(c_347821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_347819]) ).
tff(c_347822,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_347791]) ).
tff(c_347832,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_347822]) ).
tff(c_347834,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347832,c_347733]) ).
tff(c_347845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_346961,c_347834]) ).
tff(c_347846,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_347822]) ).
tff(c_347850,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347846,c_347733]) ).
tff(c_347866,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_347850,c_330952]) ).
tff(c_347868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_347866]) ).
tff(c_347869,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_347776]) ).
tff(c_347877,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_347869,c_266]) ).
tff(c_347917,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331131,c_331127,c_347877,c_36]) ).
tff(c_347918,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_347917]) ).
tff(c_347732,plain,
op(e3,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_347727,c_186]) ).
tff(c_347921,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_347918,c_347732]) ).
tff(c_347736,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_347727,c_248]) ).
tff(c_347753,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_343533,c_331244,c_347736,c_329859,c_22]) ).
tff(c_347762,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_347753,c_312]) ).
tff(c_347884,plain,
( ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_347727,c_346960,c_128]) ).
tff(c_347885,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_416,c_418,c_347884]) ).
tff(c_347872,plain,
op(e4,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_347869,c_168]) ).
tff(c_347898,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_347885,c_347872]) ).
tff(c_347933,plain,
( ( e3 = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_347898,c_140]) ).
tff(c_347934,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_331245,c_406,c_347933]) ).
tff(c_347935,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_347934]) ).
tff(c_347941,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_347935,c_274]) ).
tff(c_347986,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_347762,c_331128,c_347941,c_330944,c_32]) ).
tff(c_346963,plain,
op(op(e1,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_346960,c_158]) ).
tff(c_347989,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_347986,c_346963]) ).
tff(c_348042,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_347918,c_331242,c_347989,c_104]) ).
tff(c_348043,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_343524,c_420,c_412,c_408,c_348042]) ).
tff(c_347757,plain,
op(e0,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_347753,c_156]) ).
tff(c_348047,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_348043,c_347757]) ).
tff(c_348061,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_348047,c_326255]) ).
tff(c_348070,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_348061]) ).
tff(c_348071,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_347934]) ).
tff(c_348098,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_347921,c_348071]) ).
tff(c_348100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_348098]) ).
tff(c_348101,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_347917]) ).
tff(c_348104,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_348101,c_347733]) ).
tff(c_348118,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_348104,c_330952]) ).
tff(c_348120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_348118]) ).
tff(c_348122,plain,
op(op(e0,e2),e2) = e0,
inference(splitRight,[status(thm)],[c_346630]) ).
tff(c_348498,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_348495,c_348122]) ).
tff(c_348507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_348175,c_348498]) ).
tff(c_348508,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_348201]) ).
tff(c_348156,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_348152,c_384]) ).
tff(c_348564,plain,
op(e2,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_164529,c_346621,c_331245,c_348156,c_30]) ).
tff(c_348570,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_348564,c_386]) ).
tff(c_348635,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( e4 = e0 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348155,c_330952,c_74]) ).
tff(c_348636,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_348570,c_414,c_402,c_330943,c_348635]) ).
tff(c_346617,plain,
op(e1,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_346615,c_166]) ).
tff(c_348639,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_348636,c_346617]) ).
tff(c_348646,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_348508,c_348639]) ).
tff(c_348648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_348646]) ).
tff(c_348649,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_348150]) ).
tff(c_348652,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_343526]) ).
tff(c_349117,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_348652,c_350]) ).
tff(c_349802,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_330941,c_58]) ).
tff(c_349803,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_331142,c_402,c_349802]) ).
tff(c_349804,plain,
op(e4,e1) = e3,
inference(splitLeft,[status(thm)],[c_349803]) ).
tff(c_349536,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_330941,c_58]) ).
tff(c_349537,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_331142,c_402,c_349536]) ).
tff(c_349538,plain,
op(e4,e1) = e3,
inference(splitLeft,[status(thm)],[c_349537]) ).
tff(c_349116,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_348652,c_360]) ).
tff(c_348653,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_343527]) ).
tff(c_349129,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_348653,c_364]) ).
tff(c_349142,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_348652,c_130]) ).
tff(c_349143,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_414,c_349142]) ).
tff(c_349144,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_349143]) ).
tff(c_349149,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_349144,c_328]) ).
tff(c_349256,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_330941,c_70]) ).
tff(c_349257,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_349129,c_349149,c_414,c_349256]) ).
tff(c_348687,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_348653,c_364]) ).
tff(c_348686,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_348653,c_248]) ).
tff(c_348696,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_330941,c_68]) ).
tff(c_348697,plain,
( ( op(e3,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_348686,c_414,c_348696]) ).
tff(c_348698,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_348697]) ).
tff(c_348703,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_348698,c_262]) ).
tff(c_348677,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_348652,c_266]) ).
tff(c_348970,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_348703,c_255416,c_330962,c_348677,c_34]) ).
tff(c_348675,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_348652,c_350]) ).
tff(c_348658,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_220]) ).
tff(c_327947,plain,
op(e4,e1) != e4,
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_348876,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_348687,c_331133,c_348658,c_327947,c_8]) ).
tff(c_348699,plain,
op(op(e4,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_348698,c_182]) ).
tff(c_348878,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_348876,c_348699]) ).
tff(c_348705,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_348698,c_310]) ).
tff(c_348919,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_348705,c_343534,c_330957,c_330943,c_12]) ).
tff(c_348941,plain,
( ( e4 = e2 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348878,c_330952,c_348919,c_74]) ).
tff(c_348942,plain,
op(e3,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_348675,c_402,c_404,c_348941]) ).
tff(c_348945,plain,
op(e4,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_348942,c_184]) ).
tff(c_348972,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_348970,c_348945]) ).
tff(c_348121,plain,
( ( op(op(e0,e3),e3) != e0 )
| ( op(e1,e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e1,e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(splitRight,[status(thm)],[c_346630]) ).
tff(c_348667,plain,
( ( op(op(e0,e3),e3) != e0 )
| ( op(e1,e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e1,e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_348121]) ).
tff(c_348668,plain,
op(op(e4,e2),e2) != e4,
inference(splitLeft,[status(thm)],[c_348667]) ).
tff(c_348994,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_348972,c_348668]) ).
tff(c_349002,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_348652,c_348994]) ).
tff(c_349003,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_348697]) ).
tff(c_349012,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_349003,c_224]) ).
tff(c_349051,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348652,c_331242,c_96]) ).
tff(c_349052,plain,
( ( op(e4,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_330953,c_349051]) ).
tff(c_349053,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_349052]) ).
tff(c_349057,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_349053,c_348122]) ).
tff(c_349066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_349012,c_349057]) ).
tff(c_349067,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_349052]) ).
tff(c_349094,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e4,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_349067,c_330941,c_70]) ).
tff(c_349095,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_348687,c_416,c_414,c_349094]) ).
tff(c_349007,plain,
op(op(e4,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_349003,c_162]) ).
tff(c_349096,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_349095,c_349007]) ).
tff(c_349106,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_349096]) ).
tff(c_349108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_349106]) ).
tff(c_349110,plain,
op(op(e4,e2),e2) = e4,
inference(splitRight,[status(thm)],[c_348667]) ).
tff(c_349258,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349257,c_349110]) ).
tff(c_349268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_349116,c_349258]) ).
tff(c_349270,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_349143]) ).
tff(c_349119,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_348652,c_266]) ).
tff(c_349511,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_349270,c_255416,c_330962,c_349119,c_34]) ).
tff(c_349430,plain,
op(e4,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_349129,c_331133,c_348658,c_327947,c_8]) ).
tff(c_349269,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_349143]) ).
tff(c_349272,plain,
op(e0,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349269,c_158]) ).
tff(c_349432,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349430,c_349272]) ).
tff(c_349109,plain,
( ( op(op(e4,e1),e1) != e4 )
| ( op(e2,e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e1,e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e1,e4) != e0 )
| ( op(op(e0,e3),e3) != e0 ) ),
inference(splitRight,[status(thm)],[c_348667]) ).
tff(c_349288,plain,
( ( op(op(e4,e1),e1) != e4 )
| ( op(e2,e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e1,e3) != e2 )
| ( op(e0,e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(e4,e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e3),e3) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_349269,c_348652,c_343525,c_349269,c_348653,c_349109]) ).
tff(c_349289,plain,
op(op(e0,e3),e3) != e0,
inference(splitLeft,[status(thm)],[c_349288]) ).
tff(c_349455,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_349432,c_349289]) ).
tff(c_349294,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348652,c_331242,c_104]) ).
tff(c_349295,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_343524,c_408,c_412,c_349294]) ).
tff(c_349296,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_349295]) ).
tff(c_346618,plain,
op(op(e3,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_346615,c_174]) ).
tff(c_349298,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_349296,c_346618]) ).
tff(c_349307,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_349298]) ).
tff(c_349309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_349307]) ).
tff(c_349310,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_349295]) ).
tff(c_349497,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_349430,c_349310,c_330941,c_70]) ).
tff(c_349498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_416,c_420,c_349455,c_414,c_349497]) ).
tff(c_349499,plain,
( ( op(op(e1,e0),e0) != e1 )
| ( op(e4,e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(e0,e1) != e2 )
| ( op(e1,e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(splitRight,[status(thm)],[c_349288]) ).
tff(c_349530,plain,
( ( op(op(e1,e0),e0) != e1 )
| ( op(e4,e2) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(e0,e1) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_349511,c_346615,c_349511,c_349499]) ).
tff(c_349531,plain,
op(op(e4,e1),e1) != e4,
inference(splitLeft,[status(thm)],[c_349530]) ).
tff(c_349539,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_349538,c_349531]) ).
tff(c_349712,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_349269,c_330941,c_60]) ).
tff(c_349713,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_418,c_331244,c_404,c_349712]) ).
tff(c_349541,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349538,c_349272]) ).
tff(c_349500,plain,
op(op(e0,e3),e3) = e0,
inference(splitRight,[status(thm)],[c_349288]) ).
tff(c_349569,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_349541,c_349500]) ).
tff(c_349583,plain,
op(op(e3,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349569,c_154]) ).
tff(c_349715,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349713,c_349583]) ).
tff(c_349766,plain,
( ( op(e2,e4) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_349715,c_348653,c_331242,c_346615,c_98]) ).
tff(c_349767,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_416,c_406,c_410,c_349766]) ).
tff(c_349271,plain,
op(op(e4,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_349269,c_182]) ).
tff(c_349540,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_349538,c_349271]) ).
tff(c_349559,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_349540,c_238]) ).
tff(c_349627,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348652,c_331242,c_104]) ).
tff(c_349628,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_343524,c_408,c_412,c_349559,c_349627]) ).
tff(c_349633,plain,
op(op(e2,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349628,c_156]) ).
tff(c_349769,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349767,c_349633]) ).
tff(c_349776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_349539,c_349769]) ).
tff(c_349777,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_349537]) ).
tff(c_349779,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349777,c_349110]) ).
tff(c_349789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_349117,c_349779]) ).
tff(c_349791,plain,
op(op(e4,e1),e1) = e4,
inference(splitRight,[status(thm)],[c_349530]) ).
tff(c_349805,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349804,c_349791]) ).
tff(c_349515,plain,
op(e2,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_349511,c_168]) ).
tff(c_349992,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_349805,c_349515]) ).
tff(c_349277,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_349269,c_310]) ).
tff(c_350235,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_349277,c_343534,c_330957,c_330943,c_12]) ).
tff(c_349807,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_349804,c_349272]) ).
tff(c_350024,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_349807,c_349500]) ).
tff(c_350063,plain,
op(e0,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_350024,c_162]) ).
tff(c_350237,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_350235,c_350063]) ).
tff(c_350251,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_350237,c_348122]) ).
tff(c_350265,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_350251,c_346617]) ).
tff(c_349806,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_349804,c_349271]) ).
tff(c_349514,plain,
op(op(e3,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_349511,c_184]) ).
tff(c_349993,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_349805,c_349514]) ).
tff(c_349929,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( e4 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_349806,c_349805,c_330952,c_82]) ).
tff(c_349930,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_404,c_331249,c_406,c_349929]) ).
tff(c_349848,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_349807,c_349500]) ).
tff(c_349888,plain,
op(e0,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_349848,c_162]) ).
tff(c_349932,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_349930,c_349888]) ).
tff(c_349946,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_349932,c_348122]) ).
tff(c_349961,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_349946,c_346617]) ).
tff(c_349790,plain,
( ( op(e2,e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e0,e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(e4,e2) != e1 )
| ( op(op(e1,e0),e0) != e1 ) ),
inference(splitRight,[status(thm)],[c_349530]) ).
tff(c_349820,plain,
op(op(e1,e0),e0) != e1,
inference(splitLeft,[status(thm)],[c_349790]) ).
tff(c_349982,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_349961,c_349820]) ).
tff(c_349989,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_349806,c_349982]) ).
tff(c_349990,plain,
( ( op(e4,e2) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(e0,e1) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e0) != e4 ) ),
inference(splitRight,[status(thm)],[c_349790]) ).
tff(c_350073,plain,
( ( op(op(e2,e0),e0) != e2 )
| ( op(e0,e1) != e2 )
| ( op(e3,e4) != e2 )
| ( op(e1,e0) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e0) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_349804,c_349805,c_349806,c_349992,c_349993,c_349990]) ).
tff(c_350074,plain,
op(e2,e0) != e4,
inference(splitLeft,[status(thm)],[c_350073]) ).
tff(c_350109,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( e4 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_349806,c_349805,c_330952,c_82]) ).
tff(c_350110,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_404,c_331249,c_406,c_350109]) ).
tff(c_350062,plain,
op(op(e3,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_350024,c_154]) ).
tff(c_350111,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_350110,c_350062]) ).
tff(c_350119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_350074,c_350111]) ).
tff(c_350121,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_350073]) ).
tff(c_350120,plain,
( ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e1,e0) != e3 )
| ( op(e3,e4) != e2 )
| ( op(e0,e1) != e2 )
| ( op(op(e2,e0),e0) != e2 ) ),
inference(splitRight,[status(thm)],[c_350073]) ).
tff(c_350155,plain,
( ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e1,e0) != e3 )
| ( op(e3,e4) != e2 )
| ( op(e0,e1) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348649,c_350121,c_350120]) ).
tff(c_350156,plain,
op(e0,e1) != e2,
inference(splitLeft,[status(thm)],[c_350155]) ).
tff(c_350209,plain,
( ( e2 = e1 )
| ( e4 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_349807,c_343525,c_142]) ).
tff(c_350210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_350156,c_331246,c_404,c_412,c_350209]) ).
tff(c_350211,plain,
( ( op(e3,e4) != e2 )
| ( op(e1,e0) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 ) ),
inference(splitRight,[status(thm)],[c_350155]) ).
tff(c_350292,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_349992,c_350235,c_350237,c_350251,c_350265,c_350235,c_350211]) ).
tff(c_350293,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_349803]) ).
tff(c_350295,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_350293,c_349110]) ).
tff(c_350305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_349117,c_350295]) ).
tff(c_350306,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_346614]) ).
tff(c_350308,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_350306,c_346608]) ).
tff(c_350323,plain,
op(op(e3,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_350308,c_184]) ).
tff(c_351098,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_351083,c_350323]) ).
tff(c_351108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343533,c_351098]) ).
tff(c_351109,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_351081]) ).
tff(c_351111,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_351109]) ).
tff(c_351113,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_351111,c_351036]) ).
tff(c_350310,plain,
op(e1,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_350306,c_162]) ).
tff(c_351128,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_351113,c_350310]) ).
tff(c_351138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_351037,c_351128]) ).
tff(c_351139,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_351109]) ).
tff(c_351142,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_351139,c_351036]) ).
tff(c_351159,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_351142,c_330952]) ).
tff(c_351161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_351159]) ).
tff(c_351162,plain,
( ( op(e1,e2) = e3 )
| ( op(e4,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_351030]) ).
tff(c_351164,plain,
op(e4,e2) = e3,
inference(splitLeft,[status(thm)],[c_351162]) ).
tff(c_350876,plain,
( ( e4 = e0 )
| ( e1 = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_350306,c_330941,c_70]) ).
tff(c_350877,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_420,c_414,c_350876]) ).
tff(c_350878,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_350877]) ).
tff(c_350881,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_350878,c_212]) ).
tff(c_350327,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_350308,c_276]) ).
tff(c_350307,plain,
op(e2,e3) != e1,
inference(splitRight,[status(thm)],[c_346614]) ).
tff(c_350331,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_350308,c_332]) ).
tff(c_350808,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_350307,c_331250,c_331143,c_350331,c_24]) ).
tff(c_350853,plain,
( ( op(e2,e4) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_350808,c_106]) ).
tff(c_350854,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_331132,c_412,c_420,c_343533,c_350853]) ).
tff(c_350902,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_350854,c_132]) ).
tff(c_350903,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_350327,c_408,c_330950,c_350902]) ).
tff(c_350831,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e4 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_350308,c_350808,c_330952,c_350306,c_80]) ).
tff(c_350832,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_404,c_418,c_406,c_412,c_350831]) ).
tff(c_350835,plain,
op(op(e3,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_350832,c_194]) ).
tff(c_350906,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_350903,c_350835]) ).
tff(c_350915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_350881,c_350906]) ).
tff(c_350916,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_350877]) ).
tff(c_350318,plain,
op(e4,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_350306,c_216]) ).
tff(c_350754,plain,
( ( op(e1,e4) = e0 )
| ( e4 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_350308,c_130]) ).
tff(c_350755,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_414,c_350754]) ).
tff(c_350756,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_350755]) ).
tff(c_350355,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_112]) ).
tff(c_350356,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_327947,c_350355]) ).
tff(c_350357,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_350356]) ).
tff(c_350360,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_350357,c_326255]) ).
tff(c_350371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_350360]) ).
tff(c_350372,plain,
( ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_350356]) ).
tff(c_350374,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_350372]) ).
tff(c_350375,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_350374,c_350323]) ).
tff(c_350389,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_350375,c_330941]) ).
tff(c_350391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_350389]) ).
tff(c_350392,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_350372]) ).
tff(c_350395,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_350392,c_186]) ).
tff(c_350769,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_350756,c_350395]) ).
tff(c_350770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_350318,c_350769]) ).
tff(c_350771,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_350755]) ).
tff(c_350730,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331128,c_330944,c_32]) ).
tff(c_350731,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_350730]) ).
tff(c_350408,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_350392,c_128]) ).
tff(c_350409,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_414,c_350408]) ).
tff(c_350410,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_350409]) ).
tff(c_350418,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_350410,c_232]) ).
tff(c_350324,plain,
op(e4,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_350308,c_168]) ).
tff(c_350413,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_350410,c_350324]) ).
tff(c_350435,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_350413,c_218]) ).
tff(c_350557,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_96]) ).
tff(c_350558,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_330953,c_350435,c_350557]) ).
tff(c_350559,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_350558]) ).
tff(c_350513,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e4 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_350392,c_331242,c_106]) ).
tff(c_350514,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_412,c_350307,c_343533,c_350513]) ).
tff(c_350519,plain,
op(op(e0,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_350514,c_180]) ).
tff(c_350563,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_350559,c_350519]) ).
tff(c_350572,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_350410,c_350563]) ).
tff(c_350574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_350572]) ).
tff(c_350575,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_350558]) ).
tff(c_350627,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_350575,c_331242,c_92]) ).
tff(c_350628,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_330938,c_350627]) ).
tff(c_350629,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_350628]) ).
tff(c_350337,plain,
( ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e1,e4) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e2),e2) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_350306,c_350308,c_346607]) ).
tff(c_350338,plain,
op(op(e0,e2),e2) != e0,
inference(splitLeft,[status(thm)],[c_350337]) ).
tff(c_350633,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_350629,c_350338]) ).
tff(c_350659,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_350629,c_350575,c_331242,c_108]) ).
tff(c_350660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_416,c_418,c_350418,c_350633,c_350659]) ).
tff(c_350662,plain,
op(e0,e2) != e4,
inference(splitRight,[status(thm)],[c_350628]) ).
tff(c_350416,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_350410,c_362]) ).
tff(c_350434,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_350413,c_220]) ).
tff(c_350705,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_350416,c_331133,c_350434,c_327947,c_8]) ).
tff(c_350443,plain,
( ( op(e1,e4) = e0 )
| ( e4 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_350308,c_130]) ).
tff(c_350444,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_414,c_350443]) ).
tff(c_350445,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_350444]) ).
tff(c_350396,plain,
op(op(e1,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_350392,c_178]) ).
tff(c_350458,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_350445,c_350396]) ).
tff(c_350459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_350458]) ).
tff(c_350460,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_350444]) ).
tff(c_350463,plain,
op(e0,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_350460,c_158]) ).
tff(c_350706,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_350705,c_350463]) ).
tff(c_350715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_350662,c_350706]) ).
tff(c_350716,plain,
op(e4,e1) = e0,
inference(splitRight,[status(thm)],[c_350409]) ).
tff(c_350719,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_350716,c_158]) ).
tff(c_350750,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_350731,c_350719]) ).
tff(c_350751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_350750]) ).
tff(c_350753,plain,
op(e1,e4) != e0,
inference(splitRight,[status(thm)],[c_350730]) ).
tff(c_350784,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_350771,c_350753]) ).
tff(c_350785,plain,
( ( op(op(e0,e3),e3) != e0 )
| ( op(e1,e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(splitRight,[status(thm)],[c_350337]) ).
tff(c_350795,plain,
op(op(e4,e2),e2) != e4,
inference(splitLeft,[status(thm)],[c_350785]) ).
tff(c_350918,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_350916,c_350795]) ).
tff(c_350328,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_350308,c_266]) ).
tff(c_350816,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_350808,c_242]) ).
tff(c_350941,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_350816,c_343533,c_331244,c_329859,c_22]) ).
tff(c_350921,plain,
op(op(e2,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_350916,c_156]) ).
tff(c_350943,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_350941,c_350921]) ).
tff(c_350960,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_350943,c_238]) ).
tff(c_351009,plain,
( ( e4 = e0 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_350916,c_92]) ).
tff(c_351010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_350918,c_350328,c_404,c_350960,c_414,c_351009]) ).
tff(c_351012,plain,
op(op(e4,e2),e2) = e4,
inference(splitRight,[status(thm)],[c_350785]) ).
tff(c_351165,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_351164,c_351012]) ).
tff(c_351238,plain,
( ( e3 = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_351165,c_351164,c_104]) ).
tff(c_351239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343524,c_331131,c_412,c_408,c_410,c_351238]) ).
tff(c_351240,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_351162]) ).
tff(c_352368,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_331242,c_92]) ).
tff(c_352369,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_330938,c_352368]) ).
tff(c_352370,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_352369]) ).
tff(c_352380,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_352370,c_292]) ).
tff(c_352417,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_112]) ).
tff(c_352418,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_352380,c_408,c_327947,c_352417]) ).
tff(c_352419,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_352418]) ).
tff(c_352428,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_352419,c_366]) ).
tff(c_351906,plain,
( ( op(e1,e4) = e0 )
| ( e4 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_351240,c_350308,c_130]) ).
tff(c_351907,plain,
op(e1,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_416,c_414,c_351906]) ).
tff(c_351915,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_351907,c_312]) ).
tff(c_350786,plain,
op(op(e0,e2),e2) = e0,
inference(splitRight,[status(thm)],[c_350337]) ).
tff(c_352372,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_352370,c_350786]) ).
tff(c_352392,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_352372,c_212]) ).
tff(c_352633,plain,
( ( e4 = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352372,c_350306,c_330941,c_58]) ).
tff(c_352634,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_402,c_352633]) ).
tff(c_352635,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_352634]) ).
tff(c_352643,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_352635,c_220]) ).
tff(c_352750,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_352392,c_331133,c_352643,c_327947,c_8]) ).
tff(c_351909,plain,
op(op(e4,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_351907,c_182]) ).
tff(c_352755,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_352750,c_351909]) ).
tff(c_352424,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_352419,c_260]) ).
tff(c_352461,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_132]) ).
tff(c_352462,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_350327,c_352424,c_330950,c_352461]) ).
tff(c_352485,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e3 )
| ( e4 = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_352370,c_343525,c_138]) ).
tff(c_352486,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_330956,c_410,c_352485]) ).
tff(c_352491,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_352486,c_326252]) ).
tff(c_352504,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_352491,c_350324]) ).
tff(c_144,plain,
( ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_352540,plain,
( ( e3 = e1 )
| ( e4 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_352462,c_352504,c_144]) ).
tff(c_352541,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_331130,c_408,c_410,c_352540]) ).
tff(c_352600,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352370,c_351240,c_331242,c_352372,c_104]) ).
tff(c_352601,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_410,c_412,c_420,c_352600]) ).
tff(c_352574,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e4 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352541,c_352419,c_331242,c_110]) ).
tff(c_352575,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_414,c_418,c_351915,c_352574]) ).
tff(c_352580,plain,
op(op(e3,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_352575,c_174]) ).
tff(c_352602,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_352601,c_352580]) ).
tff(c_351244,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_178]) ).
tff(c_352420,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_352419,c_351244]) ).
tff(c_351931,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_331242,c_92]) ).
tff(c_351932,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_330938,c_351931]) ).
tff(c_351933,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_351932]) ).
tff(c_351935,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_351933,c_350786]) ).
tff(c_351955,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_351935,c_212]) ).
tff(c_351943,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_351933,c_292]) ).
tff(c_352002,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_112]) ).
tff(c_352003,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_351943,c_408,c_327947,c_352002]) ).
tff(c_352004,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_352003]) ).
tff(c_352005,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_352004,c_351244]) ).
tff(c_352048,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_352005,c_228]) ).
tff(c_352079,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( e4 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_352004,c_120]) ).
tff(c_352080,plain,
( ( op(e4,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_404,c_352048,c_352079]) ).
tff(c_352081,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_352080]) ).
tff(c_351957,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_351935,c_342]) ).
tff(c_351940,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_351933,c_356]) ).
tff(c_351964,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_351957,c_331249,c_330953,c_351940,c_16]) ).
tff(c_352020,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351964,c_330952,c_82]) ).
tff(c_352021,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_406,c_352020]) ).
tff(c_352022,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_352021]) ).
tff(c_352031,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_352022,c_234]) ).
tff(c_352037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_352031,c_352005]) ).
tff(c_352039,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_352021]) ).
tff(c_352059,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_352060,plain,
( ( op(e4,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_331245,c_352039,c_352059]) ).
tff(c_352061,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_352060]) ).
tff(c_352064,plain,
op(op(e0,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_352061,c_190]) ).
tff(c_352082,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_352081,c_352064]) ).
tff(c_352096,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_352082,c_331242]) ).
tff(c_352098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_352096]) ).
tff(c_352099,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_352080]) ).
tff(c_350313,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_350306,c_206]) ).
tff(c_351266,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_351267,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_331245,c_351266]) ).
tff(c_351268,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_351267]) ).
tff(c_351275,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_351268,c_388]) ).
tff(c_351360,plain,
op(e4,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_208865,c_350318,c_351275,c_330950,c_10]) ).
tff(c_351364,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_351360,c_343527]) ).
tff(c_351381,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_351364,c_366]) ).
tff(c_351277,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_351268,c_390]) ).
tff(c_351293,plain,
( ( e2 = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_343525,c_142]) ).
tff(c_351294,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_331246,c_412,c_351293]) ).
tff(c_351295,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_351294]) ).
tff(c_351299,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_351295,c_326252]) ).
tff(c_351311,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_351299,c_351244]) ).
tff(c_351321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_351277,c_351311]) ).
tff(c_351322,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_351294]) ).
tff(c_351011,plain,
( ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e1,e4) != e0 )
| ( op(op(e0,e3),e3) != e0 ) ),
inference(splitRight,[status(thm)],[c_350785]) ).
tff(c_351256,plain,
( ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e1,e4) != e0 )
| ( op(op(e0,e3),e3) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_351011]) ).
tff(c_351257,plain,
op(op(e0,e3),e3) != e0,
inference(splitLeft,[status(thm)],[c_351256]) ).
tff(c_351324,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_351322,c_351257]) ).
tff(c_351346,plain,
( ( op(e1,e4) = e0 )
| ( e4 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351268,c_331126,c_351240,c_350308,c_130]) ).
tff(c_351347,plain,
op(e1,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_420,c_416,c_414,c_351346]) ).
tff(c_351355,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_351347,c_312]) ).
tff(c_351611,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_110]) ).
tff(c_351612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164529,c_351381,c_418,c_351324,c_351355,c_351611]) ).
tff(c_351614,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_351267]) ).
tff(c_351750,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_350307,c_331250,c_331143,c_350331,c_24]) ).
tff(c_351655,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_331242,c_92]) ).
tff(c_351656,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_330938,c_351655]) ).
tff(c_351657,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_351656]) ).
tff(c_351659,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_351657,c_350786]) ).
tff(c_351732,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351657,c_351240,c_331242,c_351659,c_104]) ).
tff(c_351733,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_410,c_412,c_420,c_351732]) ).
tff(c_351738,plain,
op(e1,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_351733,c_174]) ).
tff(c_351811,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_351750,c_351738]) ).
tff(c_351812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_351614,c_351811]) ).
tff(c_351813,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_351656]) ).
tff(c_351890,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_331242,c_351813,c_104]) ).
tff(c_351891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343524,c_410,c_412,c_408,c_350313,c_351890]) ).
tff(c_351892,plain,
( ( op(e1,e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e3,e2) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(splitRight,[status(thm)],[c_351256]) ).
tff(c_351925,plain,
( ( op(op(e1,e0),e0) != e1 )
| ( op(e3,e2) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_351907,c_351907,c_351892]) ).
tff(c_351926,plain,
op(op(e4,e1),e1) != e4,
inference(splitLeft,[status(thm)],[c_351925]) ).
tff(c_352103,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_352099,c_351926]) ).
tff(c_352113,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_352004,c_352103]) ).
tff(c_352114,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_352060]) ).
tff(c_352117,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_352114,c_343526]) ).
tff(c_352125,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_352117]) ).
tff(c_352127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_352125]) ).
tff(c_352128,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_352003]) ).
tff(c_352143,plain,
( ( op(e4,e1) = e0 )
| ( e4 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_352128,c_128]) ).
tff(c_352144,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_414,c_351955,c_352143]) ).
tff(c_351243,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_186]) ).
tff(c_352147,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_352144,c_351243]) ).
tff(c_352156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343530,c_352147]) ).
tff(c_352158,plain,
op(e0,e2) != e4,
inference(splitRight,[status(thm)],[c_351932]) ).
tff(c_352325,plain,
( ( e4 = e2 )
| ( e2 = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_350306,c_330941,c_62]) ).
tff(c_352326,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331251,c_412,c_404,c_352325]) ).
tff(c_352327,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_352326]) ).
tff(c_352329,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_352327,c_343526]) ).
tff(c_352338,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_352329]) ).
tff(c_352340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_352338]) ).
tff(c_352341,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_352326]) ).
tff(c_351910,plain,
op(e0,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_351907,c_158]) ).
tff(c_352343,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_352341,c_351910]) ).
tff(c_352353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_352158,c_352343]) ).
tff(c_352354,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(e3,e2) != e1 )
| ( op(op(e1,e0),e0) != e1 ) ),
inference(splitRight,[status(thm)],[c_351925]) ).
tff(c_352459,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(e2,e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e4,e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(e3,e2) != e1 )
| ( op(op(e1,e0),e0) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352419,c_352420,c_352354]) ).
tff(c_352460,plain,
op(op(e1,e0),e0) != e1,
inference(splitLeft,[status(thm)],[c_352459]) ).
tff(c_352615,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_352602,c_352460]) ).
tff(c_352624,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_352541,c_352615]) ).
tff(c_352625,plain,
( ( op(e3,e2) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(e4,e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e2,e4) != e3 )
| ( op(op(e4,e0),e0) != e4 ) ),
inference(splitRight,[status(thm)],[c_352459]) ).
tff(c_352650,plain,
( ( op(e3,e2) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(e4,e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e2,e4) != e3 )
| ( op(e3,e0) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352635,c_352625]) ).
tff(c_352651,plain,
op(e3,e0) != e4,
inference(splitLeft,[status(thm)],[c_352650]) ).
tff(c_352676,plain,
( ( e4 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e4,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352635,c_352372,c_350306,c_330941,c_62]) ).
tff(c_352677,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_406,c_418,c_412,c_404,c_352676]) ).
tff(c_352682,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_352677,c_351909]) ).
tff(c_352708,plain,
( ( e4 = e3 )
| ( op(e3,e0) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_352682,c_352635,c_132]) ).
tff(c_352709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_350327,c_408,c_352651,c_402,c_352708]) ).
tff(c_352711,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_352650]) ).
tff(c_352638,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_352635,c_343527]) ).
tff(c_352710,plain,
( ( op(e2,e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e4,e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(e3,e2) != e1 ) ),
inference(splitRight,[status(thm)],[c_352650]) ).
tff(c_352781,plain,
( ( op(e2,e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e0,e1) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e1,e0) != e2 )
| ( op(e3,e2) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352755,c_352750,c_352635,c_352711,c_352638,c_352710]) ).
tff(c_352782,plain,
op(e3,e2) != e1,
inference(splitLeft,[status(thm)],[c_352781]) ).
tff(c_352845,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352370,c_351240,c_331242,c_352372,c_104]) ).
tff(c_352846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_410,c_412,c_352782,c_420,c_352845]) ).
tff(c_352848,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_352781]) ).
tff(c_352847,plain,
( ( op(e1,e0) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e0,e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e2,e4) != e3 ) ),
inference(splitRight,[status(thm)],[c_352781]) ).
tff(c_352874,plain,
( ( op(e1,e0) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e0,e1) != e3 )
| ( op(e2,e4) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351240,c_352848,c_352847]) ).
tff(c_352875,plain,
op(e2,e4) != e3,
inference(splitLeft,[status(thm)],[c_352874]) ).
tff(c_352924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_351915,c_343533,c_331244,c_352875,c_329859,c_22]) ).
tff(c_352926,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_352874]) ).
tff(c_352391,plain,
op(e0,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_352372,c_172]) ).
tff(c_352928,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_352926,c_352391]) ).
tff(c_351893,plain,
op(op(e0,e3),e3) = e0,
inference(splitRight,[status(thm)],[c_351256]) ).
tff(c_352941,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_352928,c_351893]) ).
tff(c_352853,plain,
op(e1,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_352848,c_174]) ).
tff(c_352954,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_352941,c_352853]) ).
tff(c_352852,plain,
op(op(e2,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_352848,c_166]) ).
tff(c_352955,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_352941,c_352852]) ).
tff(c_352925,plain,
( ( op(e0,e1) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e1,e0) != e2 ) ),
inference(splitRight,[status(thm)],[c_352874]) ).
tff(c_352993,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_352954,c_352928,c_352941,c_352420,c_352926,c_352955,c_352925]) ).
tff(c_352994,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_352634]) ).
tff(c_352355,plain,
op(op(e4,e1),e1) = e4,
inference(splitRight,[status(thm)],[c_351925]) ).
tff(c_352997,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_352994,c_352355]) ).
tff(c_353006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_352428,c_352997]) ).
tff(c_353007,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_352418]) ).
tff(c_353009,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_353007,c_350323]) ).
tff(c_353023,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_353009,c_330941]) ).
tff(c_353025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_353023]) ).
tff(c_353026,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_352369]) ).
tff(c_353035,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_353026,c_232]) ).
tff(c_353050,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_112]) ).
tff(c_353051,plain,
( ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_353035,c_327947,c_353050]) ).
tff(c_353052,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_353051]) ).
tff(c_353055,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_353052,c_326255]) ).
tff(c_353066,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_343525,c_353055]) ).
tff(c_353068,plain,
op(e0,e1) != e4,
inference(splitRight,[status(thm)],[c_353051]) ).
tff(c_353027,plain,
op(e0,e2) != e4,
inference(splitRight,[status(thm)],[c_352369]) ).
tff(c_350330,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_350308,c_340]) ).
tff(c_353136,plain,
( ( e4 = e1 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_343525,c_134]) ).
tff(c_353137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_353068,c_353027,c_350330,c_408,c_353136]) ).
tff(c_353138,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_343523]) ).
tff(c_354773,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_334]) ).
tff(c_354796,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_108]) ).
tff(c_354797,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_354796]) ).
tff(c_354798,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_354797]) ).
tff(c_355493,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_354773,c_331142,c_331145,c_4]) ).
tff(c_355494,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_355493]) ).
tff(c_353165,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_331134,c_48]) ).
tff(c_353166,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_353165]) ).
tff(c_353170,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_353166,c_326252]) ).
tff(c_353188,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_353170,c_250]) ).
tff(c_353139,plain,
op(e0,e4) != e1,
inference(splitRight,[status(thm)],[c_343523]) ).
tff(c_353173,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_353166,c_288]) ).
tff(c_353840,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_50476,c_353139,c_353173,c_330945,c_42]) ).
tff(c_353810,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_50476,c_353139,c_353173,c_330945,c_42]) ).
tff(c_353176,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_353166,c_374]) ).
tff(c_353642,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_330952,c_80]) ).
tff(c_353643,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_331250,c_406,c_353642]) ).
tff(c_353644,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_353643]) ).
tff(c_353648,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_353644,c_328]) ).
tff(c_353568,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_330950,c_10]) ).
tff(c_353569,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_353568]) ).
tff(c_353666,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_353569,c_330941,c_62]) ).
tff(c_353667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_353176,c_331251,c_353648,c_404,c_353666]) ).
tff(c_353668,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_353643]) ).
tff(c_353146,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_334]) ).
tff(c_353522,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_353146,c_331142,c_331145,c_4]) ).
tff(c_353523,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_353522]) ).
tff(c_353289,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_353146,c_331142,c_331145,c_4]) ).
tff(c_353290,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_353289]) ).
tff(c_353177,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_353166,c_376]) ).
tff(c_353199,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_82]) ).
tff(c_353200,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_353177,c_331249,c_406,c_353199]) ).
tff(c_353201,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_353200]) ).
tff(c_353210,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_353201,c_234]) ).
tff(c_353259,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_353210,c_330957,c_330943,c_12]) ).
tff(c_353260,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_353259]) ).
tff(c_353262,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_353260,c_154]) ).
tff(c_353291,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_353290,c_353262]) ).
tff(c_353301,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_353291]) ).
tff(c_353303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_353301]) ).
tff(c_353304,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_353289]) ).
tff(c_353141,plain,
( ( op(op(e0,e2),e2) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e3),e3) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_330941,c_330952,c_330952,c_331242,c_331242,c_331126,c_331126,c_326251]) ).
tff(c_353142,plain,
op(op(e4,e3),e3) != e4,
inference(splitLeft,[status(thm)],[c_353141]) ).
tff(c_353311,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_353304,c_353142]) ).
tff(c_353266,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_353260,c_310]) ).
tff(c_353144,plain,
op(e1,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_170]) ).
tff(c_353203,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_353201,c_353144]) ).
tff(c_353347,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_353203,c_130]) ).
tff(c_353348,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_416,c_353266,c_353347]) ).
tff(c_353436,plain,
( ( e4 = e2 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e0 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_353348,c_330952,c_353304,c_72]) ).
tff(c_353437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_353311,c_402,c_404,c_353436]) ).
tff(c_353438,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_353259]) ).
tff(c_353442,plain,
op(op(e4,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_353438,c_162]) ).
tff(c_353524,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_353523,c_353442]) ).
tff(c_353534,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_353166,c_353524]) ).
tff(c_353536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_353534]) ).
tff(c_353537,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_353522]) ).
tff(c_353539,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_353537,c_353442]) ).
tff(c_353549,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_353170,c_353539]) ).
tff(c_353551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_353549]) ).
tff(c_353552,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_353200]) ).
tff(c_353555,plain,
op(op(e4,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_353552,c_162]) ).
tff(c_353684,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_353668,c_353555]) ).
tff(c_353694,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_353684]) ).
tff(c_353696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_353694]) ).
tff(c_353697,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_353568]) ).
tff(c_353707,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_353697]) ).
tff(c_353709,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_353707,c_160]) ).
tff(c_353812,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_353810,c_353709]) ).
tff(c_353819,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_330952,c_353812]) ).
tff(c_353821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_353819]) ).
tff(c_353822,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_353697]) ).
tff(c_353827,plain,
op(e2,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_353822,c_192]) ).
tff(c_353856,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_353840,c_353827]) ).
tff(c_353857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_353188,c_353856]) ).
tff(c_353858,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_353165]) ).
tff(c_353860,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_353858]) ).
tff(c_353865,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_353860,c_326252]) ).
tff(c_353883,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_353865,c_364]) ).
tff(c_353869,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_353860,c_378]) ).
tff(c_354734,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_353883,c_331132,c_331248,c_353869,c_28]) ).
tff(c_354694,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_353883,c_331132,c_331248,c_353869,c_28]) ).
tff(c_353983,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_330952,c_80]) ).
tff(c_353984,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_331250,c_406,c_353983]) ).
tff(c_353985,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_353984]) ).
tff(c_353990,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_353985,c_328]) ).
tff(c_354007,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_353883,c_331132,c_331248,c_353869,c_28]) ).
tff(c_353867,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_353860,c_292]) ).
tff(c_353908,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_92]) ).
tff(c_353909,plain,
( ( op(e3,e2) = e4 )
| ( op(e1,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_353867,c_404,c_330938,c_353908]) ).
tff(c_353910,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_353909]) ).
tff(c_353912,plain,
op(e4,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_353910,c_178]) ).
tff(c_354009,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_354007,c_353912]) ).
tff(c_354018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_353990,c_354009]) ).
tff(c_354019,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_353984]) ).
tff(c_354024,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_354019,c_353142]) ).
tff(c_354033,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_354019,c_216]) ).
tff(c_353957,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331244,c_329859,c_22]) ).
tff(c_353958,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_353957]) ).
tff(c_353967,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_353958,c_312]) ).
tff(c_354048,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e4 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_353860,c_353138,c_142]) ).
tff(c_354049,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_331246,c_412,c_354048]) ).
tff(c_354053,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_354049,c_320]) ).
tff(c_354125,plain,
op(e1,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_353967,c_331128,c_354053,c_330944,c_32]) ).
tff(c_353878,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_353865,c_158]) ).
tff(c_354129,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_354125,c_353878]) ).
tff(c_354178,plain,
( ( op(e4,e0) = e2 )
| ( e4 = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_354129,c_140]) ).
tff(c_354179,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_331245,c_404,c_354033,c_354178]) ).
tff(c_353862,plain,
op(e4,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_353860,c_190]) ).
tff(c_354183,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_354179,c_353862]) ).
tff(c_354240,plain,
( ( e4 = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e4,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_353865,c_354183,c_354019,c_330941,c_58]) ).
tff(c_354241,plain,
op(e4,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_406,c_402,c_354240]) ).
tff(c_354051,plain,
op(e2,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_354049,c_160]) ).
tff(c_354243,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_354241,c_354051]) ).
tff(c_354249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_354024,c_354243]) ).
tff(c_354250,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_353957]) ).
tff(c_354252,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_354250]) ).
tff(c_354260,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_354252,c_248]) ).
tff(c_354280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_353883,c_331132,c_331248,c_354260,c_353869,c_28]) ).
tff(c_354281,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_354250]) ).
tff(c_354292,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_354281,c_306]) ).
tff(c_354445,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_353883,c_331132,c_331248,c_353869,c_28]) ).
tff(c_353911,plain,
op(op(e2,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_353910,c_186]) ).
tff(c_354446,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_354445,c_353911]) ).
tff(c_354456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_354292,c_354446]) ).
tff(c_354458,plain,
op(e1,e2) != e4,
inference(splitRight,[status(thm)],[c_353909]) ).
tff(c_354648,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331131,c_331127,c_354458,c_36]) ).
tff(c_354649,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_354648]) ).
tff(c_354652,plain,
op(e0,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_354649,c_178]) ).
tff(c_354695,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_354694,c_354652]) ).
tff(c_354704,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_354695]) ).
tff(c_354706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_354704]) ).
tff(c_354707,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_354648]) ).
tff(c_354711,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_354707,c_186]) ).
tff(c_354735,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_354734,c_354711]) ).
tff(c_354748,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_354735,c_330952]) ).
tff(c_354750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_354748]) ).
tff(c_354751,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_353858]) ).
tff(c_354756,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_354751,c_326255]) ).
tff(c_354767,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_354756]) ).
tff(c_354769,plain,
op(op(e4,e3),e3) = e4,
inference(splitRight,[status(thm)],[c_353141]) ).
tff(c_355497,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_355494,c_354769]) ).
tff(c_355505,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_355497]) ).
tff(c_355507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_355505]) ).
tff(c_355508,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_355493]) ).
tff(c_355353,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_128]) ).
tff(c_355354,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_355353]) ).
tff(c_355355,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_355354]) ).
tff(c_354799,plain,
op(op(e2,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_354798,c_186]) ).
tff(c_355356,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_355355,c_354799]) ).
tff(c_355366,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_355356]) ).
tff(c_355368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_355366]) ).
tff(c_355370,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_355354]) ).
tff(c_354803,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_354798,c_264]) ).
tff(c_355105,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_330957,c_330943,c_12]) ).
tff(c_355106,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_355105]) ).
tff(c_355163,plain,
( ( e4 = e2 )
| ( e2 = e0 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_355106,c_330941,c_60]) ).
tff(c_355164,plain,
( ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331244,c_418,c_404,c_355163]) ).
tff(c_355165,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_355164]) ).
tff(c_355169,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_355165,c_320]) ).
tff(c_355115,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_355106,c_306]) ).
tff(c_355189,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_355115,c_331244,c_329859,c_22]) ).
tff(c_355190,plain,
op(e2,e4) = e1,
inference(splitLeft,[status(thm)],[c_355189]) ).
tff(c_354851,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_60]) ).
tff(c_354852,plain,
( ( op(e3,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331244,c_404,c_354851]) ).
tff(c_354853,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_354852]) ).
tff(c_354822,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_66]) ).
tff(c_354823,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_331133,c_354773,c_408,c_354822]) ).
tff(c_354824,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_354823]) ).
tff(c_354825,plain,
op(op(e0,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_354824,c_160]) ).
tff(c_354854,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_354853,c_354825]) ).
tff(c_354875,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_354854,c_250]) ).
tff(c_354913,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_354773,c_331142,c_331145,c_4]) ).
tff(c_354914,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_354913]) ).
tff(c_354915,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_354914,c_354769]) ).
tff(c_354925,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_354915]) ).
tff(c_354927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_354925]) ).
tff(c_354928,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_354913]) ).
tff(c_354933,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_354928,c_354769]) ).
tff(c_354944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_354875,c_354933]) ).
tff(c_354946,plain,
op(e0,e4) != e2,
inference(splitRight,[status(thm)],[c_354852]) ).
tff(c_355061,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_353138,c_142]) ).
tff(c_355062,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_331246,c_412,c_354946,c_355061]) ).
tff(c_355066,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_355062,c_326252]) ).
tff(c_355078,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_355066,c_354799]) ).
tff(c_355086,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_355078]) ).
tff(c_355088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_355086]) ).
tff(c_355089,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_354823]) ).
tff(c_355094,plain,
op(e1,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_355089,c_172]) ).
tff(c_355191,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_355190,c_355094]) ).
tff(c_355200,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_355191]) ).
tff(c_355202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_355200]) ).
tff(c_355203,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_355189]) ).
tff(c_355214,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_355203,c_312]) ).
tff(c_355270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_354803,c_331128,c_355169,c_355214,c_330944,c_32]) ).
tff(c_355271,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_355164]) ).
tff(c_355139,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( e1 = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_355089,c_330941,c_70]) ).
tff(c_355140,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_420,c_414,c_355139]) ).
tff(c_355141,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_355140]) ).
tff(c_355142,plain,
op(e0,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_355141,c_182]) ).
tff(c_355274,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_355271,c_355142]) ).
tff(c_355283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343524,c_355274]) ).
tff(c_355284,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_355140]) ).
tff(c_355108,plain,
op(op(e4,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_355106,c_162]) ).
tff(c_355286,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_355284,c_355108]) ).
tff(c_355296,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_355286]) ).
tff(c_355298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_355296]) ).
tff(c_355299,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_355105]) ).
tff(c_355309,plain,
op(e3,e4) = e2,
inference(splitLeft,[status(thm)],[c_355299]) ).
tff(c_355320,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_355309,c_316]) ).
tff(c_355397,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_353138,c_142]) ).
tff(c_355398,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_331246,c_412,c_355320,c_355397]) ).
tff(c_355402,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_355398,c_326252]) ).
tff(c_355410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355370,c_355402]) ).
tff(c_355411,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_355299]) ).
tff(c_355414,plain,
op(e1,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_355411,c_154]) ).
tff(c_355511,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_355508,c_355414]) ).
tff(c_355520,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_354798,c_355511]) ).
tff(c_355522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_355520]) ).
tff(c_355524,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_354797]) ).
tff(c_359965,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_355524,c_331131,c_331127,c_36]) ).
tff(c_359966,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_359965]) ).
tff(c_359346,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330941,c_62]) ).
tff(c_359347,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_331251,c_404,c_359346]) ).
tff(c_359348,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_359347]) ).
tff(c_359359,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_359348,c_216]) ).
tff(c_359585,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_354773,c_359359,c_331142,c_331145,c_4]) ).
tff(c_359589,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_359585,c_354769]) ).
tff(c_359596,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_359589]) ).
tff(c_359598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_359596]) ).
tff(c_359599,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_359347]) ).
tff(c_359603,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_359599]) ).
tff(c_359611,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_359603,c_210]) ).
tff(c_358027,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_112]) ).
tff(c_358028,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_327947,c_358027]) ).
tff(c_358029,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_358028]) ).
tff(c_358033,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_358029,c_326252]) ).
tff(c_359228,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e1 = e0 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358033,c_330941,c_66]) ).
tff(c_359229,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_354773,c_408,c_359228]) ).
tff(c_359230,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_359229]) ).
tff(c_358048,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_358033,c_210]) ).
tff(c_359281,plain,
op(e4,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_358048,c_354773,c_331142,c_331145,c_4]) ).
tff(c_359283,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_359281,c_354769]) ).
tff(c_355523,plain,
( ( op(e3,e2) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_354797]) ).
tff(c_355525,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_355523]) ).
tff(c_355530,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_355525,c_206]) ).
tff(c_357805,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331135,c_330955,c_18]) ).
tff(c_357806,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_357805]) ).
tff(c_355534,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_355525,c_342]) ).
tff(c_356868,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331135,c_330955,c_18]) ).
tff(c_356869,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_356868]) ).
tff(c_356842,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_330962,c_34]) ).
tff(c_356843,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_356842]) ).
tff(c_356845,plain,
op(e0,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_356843,c_168]) ).
tff(c_356870,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_356869,c_356845]) ).
tff(c_356879,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_356870]) ).
tff(c_356881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_356879]) ).
tff(c_356882,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_356868]) ).
tff(c_356884,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_356882]) ).
tff(c_356844,plain,
op(op(e3,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_356843,c_184]) ).
tff(c_356887,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_356884,c_356844]) ).
tff(c_355529,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_355525,c_212]) ).
tff(c_356090,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_355529,c_331133,c_327947,c_8]) ).
tff(c_356091,plain,
op(e4,e1) = e2,
inference(splitLeft,[status(thm)],[c_356090]) ).
tff(c_356100,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_356091,c_374]) ).
tff(c_356211,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_331134,c_356100,c_48]) ).
tff(c_356212,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_356211]) ).
tff(c_356216,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_356212,c_326255]) ).
tff(c_356225,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_356216]) ).
tff(c_356226,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_356211]) ).
tff(c_356233,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_356226,c_326252]) ).
tff(c_356244,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_356233,c_356091]) ).
tff(c_356246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_356244]) ).
tff(c_356247,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_356090]) ).
tff(c_356298,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_353139,c_330945,c_42]) ).
tff(c_356299,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_356298]) ).
tff(c_356306,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_356299,c_288]) ).
tff(c_356258,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_356247,c_374]) ).
tff(c_356390,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_233155,c_331134,c_356306,c_356258,c_48]) ).
tff(c_356396,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_356390,c_326252]) ).
tff(c_356406,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_356396,c_356247]) ).
tff(c_356408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_356406]) ).
tff(c_356409,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_356298]) ).
tff(c_356418,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_356409,c_318]) ).
tff(c_356272,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_331245,c_30]) ).
tff(c_356273,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_356272]) ).
tff(c_356689,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_353138,c_356409,c_142]) ).
tff(c_356690,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_331246,c_412,c_406,c_356689]) ).
tff(c_356696,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_356690,c_326252]) ).
tff(c_356773,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356273,c_356696,c_331242,c_98]) ).
tff(c_356774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_406,c_331143,c_356418,c_356773]) ).
tff(c_356775,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_356272]) ).
tff(c_356777,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_356775]) ).
tff(c_356782,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_356777,c_386]) ).
tff(c_356256,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_356247,c_364]) ).
tff(c_356803,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356777,c_331242,c_98]) ).
tff(c_356804,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_356256,c_406,c_331143,c_356803]) ).
tff(c_355527,plain,
op(op(e2,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_355525,c_156]) ).
tff(c_356805,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_356804,c_355527]) ).
tff(c_356815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_356782,c_356805]) ).
tff(c_356816,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_356775]) ).
tff(c_355995,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_355525,c_96]) ).
tff(c_355996,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_330953,c_416,c_355995]) ).
tff(c_355997,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_355996]) ).
tff(c_356012,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_355997,c_353138,c_142]) ).
tff(c_356013,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_406,c_412,c_356012]) ).
tff(c_356014,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_356013]) ).
tff(c_356019,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_356014,c_326252]) ).
tff(c_355550,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( e1 = e0 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_355525,c_330941,c_66]) ).
tff(c_355551,plain,
op(e4,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_331133,c_420,c_354773,c_408,c_355550]) ).
tff(c_355589,plain,
( ( e4 = e0 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_355525,c_92]) ).
tff(c_355590,plain,
( ( op(e3,e2) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_414,c_355589]) ).
tff(c_355591,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_355590]) ).
tff(c_354768,plain,
( ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e2),e2) != e0 ) ),
inference(splitRight,[status(thm)],[c_353141]) ).
tff(c_355544,plain,
( ( op(e0,e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(e1,e3) != e0 )
| ( op(op(e0,e2),e2) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_355525,c_354768]) ).
tff(c_355545,plain,
op(op(e0,e2),e2) != e0,
inference(splitLeft,[status(thm)],[c_355544]) ).
tff(c_355592,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_355591,c_355545]) ).
tff(c_355604,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_355525,c_355592]) ).
tff(c_355605,plain,
( ( op(e1,e2) = e4 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_355590]) ).
tff(c_355686,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_355605]) ).
tff(c_355726,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_355686,c_232]) ).
tff(c_355573,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331132,c_331248,c_28]) ).
tff(c_355574,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_355573]) ).
tff(c_355687,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( e4 = e0 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_355574,c_112]) ).
tff(c_355688,plain,
( ( op(e3,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_327947,c_355687]) ).
tff(c_355689,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_355688]) ).
tff(c_355707,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_355689,c_326252]) ).
tff(c_355715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355529,c_355707]) ).
tff(c_355716,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_355688]) ).
tff(c_355732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355726,c_355716]) ).
tff(c_355733,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_355605]) ).
tff(c_355577,plain,
op(op(e1,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_355574,c_178]) ).
tff(c_355766,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_355733,c_355577]) ).
tff(c_355776,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_355551,c_355766]) ).
tff(c_355778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_355776]) ).
tff(c_355779,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_355573]) ).
tff(c_355781,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_355779]) ).
tff(c_355791,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_355781,c_366]) ).
tff(c_355809,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_353139,c_330945,c_42]) ).
tff(c_355810,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_355809]) ).
tff(c_355553,plain,
op(e1,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_355551,c_192]) ).
tff(c_355811,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_355810,c_355553]) ).
tff(c_355822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355524,c_355811]) ).
tff(c_355823,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_355809]) ).
tff(c_355552,plain,
op(op(e0,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_355551,c_160]) ).
tff(c_355826,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_355823,c_355552]) ).
tff(c_355836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355791,c_355826]) ).
tff(c_355837,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_355779]) ).
tff(c_356029,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_356019,c_355837]) ).
tff(c_356031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_356029]) ).
tff(c_356032,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_356013]) ).
tff(c_356050,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_356032,c_355553]) ).
tff(c_356060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355524,c_356050]) ).
tff(c_356061,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_355996]) ).
tff(c_355959,plain,
op(op(e1,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_355837,c_178]) ).
tff(c_356063,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_356061,c_355959]) ).
tff(c_356077,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_356063,c_330952]) ).
tff(c_356079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_356077]) ).
tff(c_356080,plain,
( ( op(e1,e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(e0,e2) != e4 ) ),
inference(splitRight,[status(thm)],[c_355544]) ).
tff(c_356862,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(e3,e1) != e4 )
| ( op(e0,e2) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356247,c_356816,c_353138,c_356843,c_356843,c_356080]) ).
tff(c_356863,plain,
op(e0,e2) != e4,
inference(splitLeft,[status(thm)],[c_356862]) ).
tff(c_356982,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_355524,c_331131,c_331127,c_36]) ).
tff(c_356983,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_356982]) ).
tff(c_356892,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_356884,c_232]) ).
tff(c_356953,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_355534,c_331249,c_330953,c_356892,c_16]) ).
tff(c_357015,plain,
( ( e4 = e0 )
| ( e4 = e1 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356983,c_331242,c_356953,c_355525,c_92]) ).
tff(c_357016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_356863,c_402,c_404,c_408,c_414,c_357015]) ).
tff(c_357017,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_356982]) ).
tff(c_356852,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_356843,c_332]) ).
tff(c_356927,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356816,c_331242,c_110]) ).
tff(c_356928,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_418,c_356852,c_356927]) ).
tff(c_356929,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_356928]) ).
tff(c_356934,plain,
op(op(e1,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_356929,c_178]) ).
tff(c_357020,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_357017,c_356934]) ).
tff(c_357028,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_356887,c_357020]) ).
tff(c_357030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_357028]) ).
tff(c_357031,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_356928]) ).
tff(c_357034,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_357031,c_355527]) ).
tff(c_357042,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_357034]) ).
tff(c_357044,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_357042]) ).
tff(c_357045,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_356882]) ).
tff(c_357048,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_357045,c_356845]) ).
tff(c_356081,plain,
op(op(e0,e2),e2) = e0,
inference(splitRight,[status(thm)],[c_355544]) ).
tff(c_357065,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_357048,c_356081]) ).
tff(c_357074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355534,c_357065]) ).
tff(c_357076,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_356862]) ).
tff(c_357615,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357076,c_331242,c_355525,c_104]) ).
tff(c_357616,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_408,c_331131,c_412,c_420,c_357615]) ).
tff(c_356821,plain,
op(op(e0,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_356816,c_180]) ).
tff(c_357078,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_357076,c_356821]) ).
tff(c_357107,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_357078,c_354769]) ).
tff(c_357121,plain,
op(op(e3,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_357107,c_174]) ).
tff(c_357618,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_357616,c_357121]) ).
tff(c_356820,plain,
op(e3,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_356816,c_196]) ).
tff(c_357077,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_357076,c_356820]) ).
tff(c_357100,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_357077,c_306]) ).
tff(c_357124,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_357107,c_250]) ).
tff(c_357714,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_331132,c_331248,c_356256,c_357124,c_28]) ).
tff(c_357082,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_357076,c_360]) ).
tff(c_357566,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_355524,c_331131,c_331127,c_357082,c_36]) ).
tff(c_357084,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_357076,c_292]) ).
tff(c_357257,plain,
( ( op(e0,e4) = e3 )
| ( e3 = e1 )
| ( e4 = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_357076,c_353138,c_138]) ).
tff(c_357258,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_356258,c_402,c_410,c_357257]) ).
tff(c_357097,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_357077,c_228]) ).
tff(c_357199,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_357097,c_331135,c_330955,c_18]) ).
tff(c_357200,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_357199]) ).
tff(c_357203,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_357200,c_356844]) ).
tff(c_357215,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_357203,c_356816]) ).
tff(c_357217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_357215]) ).
tff(c_357218,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_357199]) ).
tff(c_357220,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_357218,c_356845]) ).
tff(c_357075,plain,
( ( op(e3,e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 ) ),
inference(splitRight,[status(thm)],[c_356862]) ).
tff(c_357138,plain,
( ( op(e3,e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(e0,e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357078,c_357107,c_357077,c_357075]) ).
tff(c_357139,plain,
op(op(e0,e4),e4) != e0,
inference(splitLeft,[status(thm)],[c_357138]) ).
tff(c_357233,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_357220,c_357139]) ).
tff(c_357244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_357077,c_357233]) ).
tff(c_357245,plain,
( ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e0,e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(e3,e1) != e4 ) ),
inference(splitRight,[status(thm)],[c_357138]) ).
tff(c_357274,plain,
( ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(e3,e1) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357258,c_357245]) ).
tff(c_357275,plain,
op(e3,e1) != e4,
inference(splitLeft,[status(thm)],[c_357274]) ).
tff(c_357288,plain,
( ( e4 = e3 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_356247,c_112]) ).
tff(c_357289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357084,c_408,c_357124,c_357275,c_402,c_357288]) ).
tff(c_357291,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_357274]) ).
tff(c_357294,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_357291,c_356844]) ).
tff(c_357329,plain,
( ( e3 = e0 )
| ( e4 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_357291,c_356247,c_128]) ).
tff(c_357330,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_414,c_416,c_357329]) ).
tff(c_357454,plain,
( ( op(e2,e4) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356816,c_357330,c_331242,c_357107,c_106]) ).
tff(c_357455,plain,
op(e2,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_410,c_420,c_412,c_408,c_357454]) ).
tff(c_357458,plain,
op(e1,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_357455,c_355527]) ).
tff(c_357290,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 ) ),
inference(splitRight,[status(thm)],[c_357274]) ).
tff(c_357307,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_356247,c_357291,c_357290]) ).
tff(c_357308,plain,
op(op(e1,e0),e0) != e1,
inference(splitLeft,[status(thm)],[c_357307]) ).
tff(c_357470,plain,
op(e4,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_357458,c_357308]) ).
tff(c_357478,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_357294,c_357470]) ).
tff(c_357479,plain,
( ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e4,e0),e0) != e4 ) ),
inference(splitRight,[status(thm)],[c_357307]) ).
tff(c_357495,plain,
( ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e1,e0) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357294,c_357479]) ).
tff(c_357496,plain,
op(e1,e0) != e4,
inference(splitLeft,[status(thm)],[c_357495]) ).
tff(c_357298,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_357291,c_240]) ).
tff(c_357533,plain,
( ( e4 = e1 )
| ( op(e3,e0) = e4 )
| ( e4 = e3 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_356816,c_357294,c_132]) ).
tff(c_357534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_357496,c_402,c_357298,c_408,c_357533]) ).
tff(c_357535,plain,
( ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e2),e2) != e1 ) ),
inference(splitRight,[status(thm)],[c_357495]) ).
tff(c_357563,plain,
op(op(e1,e2),e2) != e1,
inference(splitLeft,[status(thm)],[c_357535]) ).
tff(c_357567,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_357566,c_357563]) ).
tff(c_357083,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_357076,c_356]) ).
tff(c_357606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355534,c_357567,c_331249,c_330953,c_357083,c_16]) ).
tff(c_357607,plain,
( ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e2),e2) != e3 ) ),
inference(splitRight,[status(thm)],[c_357535]) ).
tff(c_357630,plain,
( ( op(op(e1,e4),e4) != e1 )
| ( op(e3,e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e1,e2) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357616,c_357607]) ).
tff(c_357631,plain,
op(e1,e2) != e3,
inference(splitLeft,[status(thm)],[c_357630]) ).
tff(c_357673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355524,c_331131,c_331127,c_357631,c_357082,c_36]) ).
tff(c_357675,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_357630]) ).
tff(c_357680,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_357675,c_178]) ).
tff(c_357715,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_357714,c_357680]) ).
tff(c_357674,plain,
( ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e3,e0) != e2 )
| ( op(op(e1,e4),e4) != e1 ) ),
inference(splitRight,[status(thm)],[c_357630]) ).
tff(c_357745,plain,
( ( op(op(e2,e4),e4) != e2 )
| ( op(e0,e1) != e2 )
| ( op(e2,e4) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357618,c_357715,c_357714,c_356816,c_357715,c_357674]) ).
tff(c_357746,plain,
op(e2,e4) != e1,
inference(splitLeft,[status(thm)],[c_357745]) ).
tff(c_356826,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_356816,c_254]) ).
tff(c_357747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357100,c_357746,c_331244,c_356826,c_329859,c_22]) ).
tff(c_357749,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_357745]) ).
tff(c_355528,plain,
op(e0,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_355525,c_172]) ).
tff(c_357753,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_357749,c_355528]) ).
tff(c_357748,plain,
( ( op(e0,e1) != e2 )
| ( op(op(e2,e4),e4) != e2 ) ),
inference(splitRight,[status(thm)],[c_357745]) ).
tff(c_357778,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_357618,c_357749,c_357753,c_357748]) ).
tff(c_357779,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_356842]) ).
tff(c_357781,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_357779]) ).
tff(c_357783,plain,
op(op(e3,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_357781,c_184]) ).
tff(c_357807,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_357806,c_357783]) ).
tff(c_357817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_353139,c_357807]) ).
tff(c_357818,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_357805]) ).
tff(c_357820,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_357818]) ).
tff(c_357784,plain,
op(e4,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_357781,c_168]) ).
tff(c_357823,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_357820,c_357784]) ).
tff(c_357837,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_357823,c_330941]) ).
tff(c_357839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_357837]) ).
tff(c_357840,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_357818]) ).
tff(c_357845,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_357840,c_357784]) ).
tff(c_357853,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_355525,c_357845]) ).
tff(c_357855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_357853]) ).
tff(c_357856,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_357779]) ).
tff(c_357862,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_357856,c_328]) ).
tff(c_358000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355530,c_354773,c_357862,c_331142,c_331145,c_4]) ).
tff(c_358001,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_355523]) ).
tff(c_358004,plain,
op(op(e2,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_358001,c_166]) ).
tff(c_359296,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_359283,c_358004]) ).
tff(c_359302,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_359230,c_359296]) ).
tff(c_359304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_359302]) ).
tff(c_359305,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_359229]) ).
tff(c_354774,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_338]) ).
tff(c_358100,plain,
( ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358029,c_331126,c_358033,c_120]) ).
tff(c_358101,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_404,c_412,c_331248,c_418,c_358100]) ).
tff(c_358074,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331244,c_329859,c_22]) ).
tff(c_358075,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_358074]) ).
tff(c_358880,plain,
op(e4,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_358048,c_354773,c_331142,c_331145,c_4]) ).
tff(c_358882,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_358880,c_354769]) ).
tff(c_358005,plain,
op(e0,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_358001,c_174]) ).
tff(c_358896,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_358882,c_358005]) ).
tff(c_358109,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_358101,c_240]) ).
tff(c_358312,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_358313,plain,
( ( op(e4,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_331245,c_358109,c_358312]) ).
tff(c_358314,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_358313]) ).
tff(c_358030,plain,
op(e4,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_358029,c_190]) ).
tff(c_358315,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_358314,c_358030]) ).
tff(c_358084,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_358075,c_312]) ).
tff(c_358407,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358314,c_331126,c_130]) ).
tff(c_358408,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_420,c_355524,c_358084,c_358407]) ).
tff(c_358105,plain,
op(op(e1,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_358101,c_168]) ).
tff(c_358411,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_358408,c_358105]) ).
tff(c_358430,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_358411,c_360]) ).
tff(c_358128,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e1 = e0 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358033,c_330941,c_66]) ).
tff(c_358129,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_354773,c_408,c_358128]) ).
tff(c_358130,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_358129]) ).
tff(c_358148,plain,
( ( e4 = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358130,c_358033,c_330941,c_58]) ).
tff(c_358149,plain,
op(e4,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_331142,c_402,c_358148]) ).
tff(c_358078,plain,
op(op(e4,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_358075,c_172]) ).
tff(c_358151,plain,
op(e3,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_358149,c_358078]) ).
tff(c_358160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_358109,c_358151]) ).
tff(c_358161,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_358129]) ).
tff(c_358163,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_358161,c_358078]) ).
tff(c_358277,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358163,c_331126,c_130]) ).
tff(c_358278,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_420,c_355524,c_358084,c_358277]) ).
tff(c_358281,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_358278,c_358105]) ).
tff(c_358120,plain,
( ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e0,e2) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e0,e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(e1,e3) != e0 )
| ( op(op(e0,e2),e2) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_358075,c_358101,c_358001,c_358029,c_358033,c_354768]) ).
tff(c_358121,plain,
op(op(e0,e2),e2) != e0,
inference(splitLeft,[status(thm)],[c_358120]) ).
tff(c_358291,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_358281,c_358121]) ).
tff(c_358301,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358001,c_358291]) ).
tff(c_358302,plain,
( ( op(e1,e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e0,e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e2,e1) != e3 )
| ( op(e0,e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(splitRight,[status(thm)],[c_358120]) ).
tff(c_358330,plain,
( ( op(e1,e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(e2,e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e0,e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e2,e1) != e3 )
| ( op(e0,e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358314,c_358302]) ).
tff(c_358331,plain,
op(op(e4,e2),e2) != e4,
inference(splitLeft,[status(thm)],[c_358330]) ).
tff(c_358347,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_358315,c_358331]) ).
tff(c_358479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_355524,c_331131,c_331127,c_358430,c_358347,c_36]) ).
tff(c_358481,plain,
op(op(e4,e2),e2) = e4,
inference(splitRight,[status(thm)],[c_358330]) ).
tff(c_358497,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_358315,c_358481]) ).
tff(c_358480,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e0,e2) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e0,e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(e2,e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(e1,e3) != e0 ) ),
inference(splitRight,[status(thm)],[c_358330]) ).
tff(c_358511,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(e0,e2) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e0,e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(e2,e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(e1,e3) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358315,c_358497,c_358480]) ).
tff(c_358512,plain,
op(e1,e3) != e0,
inference(splitLeft,[status(thm)],[c_358511]) ).
tff(c_358640,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( e4 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358314,c_331126,c_358497,c_130]) ).
tff(c_358641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_420,c_414,c_358512,c_358084,c_358640]) ).
tff(c_358643,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_358511]) ).
tff(c_358104,plain,
op(e2,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_358101,c_184]) ).
tff(c_358647,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_358643,c_358104]) ).
tff(c_358851,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( e4 = e1 )
| ( e4 = e2 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_358314,c_358647,c_132]) ).
tff(c_358852,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_408,c_330950,c_358851]) ).
tff(c_354771,plain,
op(e1,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_170]) ).
tff(c_358856,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_358852,c_354771]) ).
tff(c_358895,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_358882,c_358004]) ).
tff(c_358490,plain,
op(e4,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_358315,c_218]) ).
tff(c_358321,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_358314,c_388]) ).
tff(c_358721,plain,
op(e4,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_208865,c_358490,c_358321,c_330950,c_10]) ).
tff(c_358646,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_358643,c_358105]) ).
tff(c_358642,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(e2,e0) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e0,e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e2,e1) != e3 )
| ( op(e0,e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 ) ),
inference(splitRight,[status(thm)],[c_358511]) ).
tff(c_358681,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(e0,e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358646,c_358314,c_358647,c_353138,c_358643,c_358647,c_358642]) ).
tff(c_358682,plain,
op(op(e4,e0),e0) != e4,
inference(splitLeft,[status(thm)],[c_358681]) ).
tff(c_358722,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_358721,c_358682]) ).
tff(c_358012,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_358001,c_224]) ).
tff(c_358110,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_358101,c_228]) ).
tff(c_358695,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_358012,c_358110,c_330957,c_330943,c_12]) ).
tff(c_358829,plain,
( ( e4 = e1 )
| ( e4 = e3 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358101,c_358001,c_330952,c_358695,c_74]) ).
tff(c_358830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_358722,c_404,c_414,c_402,c_408,c_358829]) ).
tff(c_358831,plain,
( ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(e0,e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e0,e4),e4) != e0 ) ),
inference(splitRight,[status(thm)],[c_358681]) ).
tff(c_358943,plain,
( ( op(op(e3,e4),e4) != e3 )
| ( op(e2,e1) != e3 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(e3,e4) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358075,c_358896,c_358856,c_358880,c_358882,c_358896,c_358895,c_358852,c_358831]) ).
tff(c_358944,plain,
op(e3,e4) != e1,
inference(splitLeft,[status(thm)],[c_358943]) ).
tff(c_358957,plain,
( ( e3 = e0 )
| ( e4 = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358647,c_331242,c_358882,c_358075,c_98]) ).
tff(c_358958,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_406,c_402,c_416,c_358957]) ).
tff(c_358499,plain,
op(op(e2,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_358497,c_186]) ).
tff(c_358960,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_358958,c_358499]) ).
tff(c_358967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_358944,c_358960]) ).
tff(c_358969,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_358943]) ).
tff(c_358885,plain,
op(e2,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_358880,c_162]) ).
tff(c_358971,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_358969,c_358885]) ).
tff(c_358968,plain,
( ( op(op(e2,e1),e1) != e2 )
| ( op(e2,e1) != e3 )
| ( op(op(e3,e4),e4) != e3 ) ),
inference(splitRight,[status(thm)],[c_358943]) ).
tff(c_358982,plain,
( ( op(op(e2,e1),e1) != e2 )
| ( op(e2,e1) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358856,c_358969,c_358968]) ).
tff(c_358983,plain,
op(e2,e1) != e3,
inference(splitLeft,[status(thm)],[c_358982]) ).
tff(c_358984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_358983,c_358971]) ).
tff(c_358985,plain,
op(op(e2,e1),e1) != e2,
inference(splitRight,[status(thm)],[c_358982]) ).
tff(c_359001,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358101,c_358971,c_358985]) ).
tff(c_359003,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_358313]) ).
tff(c_359002,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_358313]) ).
tff(c_359057,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_359002,c_358033,c_330941,c_66]) ).
tff(c_359058,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_412,c_420,c_354773,c_408,c_359057]) ).
tff(c_359060,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_359058,c_358078]) ).
tff(c_359069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_359003,c_359060]) ).
tff(c_359070,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_358074]) ).
tff(c_359072,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_359070]) ).
tff(c_359122,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331242,c_359072,c_106]) ).
tff(c_359123,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_331132,c_412,c_354774,c_410,c_359122]) ).
tff(c_359082,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_359072,c_312]) ).
tff(c_359138,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_331128,c_359082,c_330944,c_32]) ).
tff(c_359139,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_359138]) ).
tff(c_358046,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_358033,c_158]) ).
tff(c_359141,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_359139,c_358046]) ).
tff(c_359150,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_359141]) ).
tff(c_359152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_359150]) ).
tff(c_359153,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_359138]) ).
tff(c_359157,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_359153,c_358046]) ).
tff(c_359166,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_359123,c_359157]) ).
tff(c_359168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_359166]) ).
tff(c_359169,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_359070]) ).
tff(c_359174,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_359169,c_172]) ).
tff(c_359309,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_359305,c_359174]) ).
tff(c_359318,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_359309]) ).
tff(c_359320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_359318]) ).
tff(c_359321,plain,
( ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_358028]) ).
tff(c_359323,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_359321]) ).
tff(c_359658,plain,
( ( op(e4,e1) = e2 )
| ( e4 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331126,c_359323,c_120]) ).
tff(c_359659,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_331248,c_404,c_359611,c_359658]) ).
tff(c_359604,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_359603,c_354769]) ).
tff(c_359620,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_359604,c_358005]) ).
tff(c_359650,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_359620,c_288]) ).
tff(c_359675,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_359659,c_359650]) ).
tff(c_359677,plain,
op(e4,e3) != e2,
inference(splitRight,[status(thm)],[c_359599]) ).
tff(c_359878,plain,
op(e4,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_354773,c_359677,c_331142,c_331145,c_4]) ).
tff(c_359880,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_359878,c_354769]) ).
tff(c_359888,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_353138,c_359880]) ).
tff(c_359890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_359888]) ).
tff(c_359891,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_359321]) ).
tff(c_359894,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_359891,c_186]) ).
tff(c_359967,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_359966,c_359894]) ).
tff(c_359978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_354773,c_359967]) ).
tff(c_359979,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_359965]) ).
tff(c_359981,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_359979,c_359894]) ).
tff(c_360011,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_359981,c_330941]) ).
tff(c_360013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_360011]) ).
tff(c_360015,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_330951]) ).
tff(c_360110,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_360033,c_360015,c_255415]) ).
tff(c_360039,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_327946]) ).
tff(c_360044,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_360039,c_372]) ).
tff(c_360056,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_360033,c_360015,c_255415]) ).
tff(c_360064,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_360056,c_246]) ).
tff(c_360077,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_360056,c_329858]) ).
tff(c_360078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_360044,c_360064,c_406,c_360077]) ).
tff(c_360080,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_327946]) ).
tff(c_360119,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_360110,c_246]) ).
tff(c_360156,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_360119,c_330937]) ).
tff(c_360157,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_360156]) ).
tff(c_360133,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_360110,c_329858]) ).
tff(c_360134,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_360119,c_406,c_360133]) ).
tff(c_360170,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_360157,c_360134,c_186]) ).
tff(c_360171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_360080,c_360170]) ).
tff(c_360172,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_360156]) ).
tff(c_360128,plain,
op(e2,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_360110,c_166]) ).
tff(c_360174,plain,
op(e2,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_360172,c_360128]) ).
tff(c_360184,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_360110,c_360174]) ).
tff(c_360186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_360184]) ).
tff(c_360188,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_360189,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_360188,c_50475]) ).
tff(c_360190,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_360189]) ).
tff(c_360195,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_360190,c_222]) ).
tff(c_360216,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_360190,c_252827]) ).
tff(c_360217,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_360195,c_360216]) ).
tff(c_360218,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_360217]) ).
tff(c_360223,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_360218,c_346]) ).
tff(c_360317,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_360195,c_255415]) ).
tff(c_360318,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_360317]) ).
tff(c_360312,plain,
op(e3,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_360190,c_154]) ).
tff(c_360319,plain,
op(e3,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_360318,c_360312]) ).
tff(c_360329,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_360190,c_360319]) ).
tff(c_360331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_360329]) ).
tff(c_360332,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_360317]) ).
tff(c_360280,plain,
op(e2,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_360218,c_174]) ).
tff(c_360335,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_360332,c_360280]) ).
tff(c_360345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_360223,c_360335]) ).
tff(c_360346,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_360217]) ).
tff(c_360350,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_360346,c_366]) ).
tff(c_360405,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_360350,c_329858]) ).
tff(c_360406,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_360405]) ).
tff(c_360414,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_360406,c_246]) ).
tff(c_360429,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_360195,c_360414,c_255415]) ).
tff(c_360369,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_360190,c_162]) ).
tff(c_360430,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_360429,c_360429,c_360369]) ).
tff(c_360440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_360430]) ).
tff(c_360441,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_360405]) ).
tff(c_360459,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_360441,c_255415]) ).
tff(c_360460,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_360195,c_406,c_360459]) ).
tff(c_360462,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_360460,c_360460,c_360369]) ).
tff(c_360471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_360462]) ).
tff(c_360472,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_360189]) ).
tff(c_362598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_362355,c_362507,c_360472]) ).
tff(c_362599,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_362505]) ).
tff(c_362359,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_362353,c_372]) ).
tff(c_362600,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_362505]) ).
tff(c_362615,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_362359,c_362600,c_329858]) ).
tff(c_362601,plain,
op(e3,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_362599,c_174]) ).
tff(c_362645,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_362615,c_362601]) ).
tff(c_361709,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_327946]) ).
tff(c_361716,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_361709,c_368]) ).
tff(c_360187,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_361735,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_361716,c_360187]) ).
tff(c_361736,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_361735]) ).
tff(c_361744,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_361736,c_344]) ).
tff(c_361166,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_330937]) ).
tff(c_361172,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_361166,c_272]) ).
tff(c_361278,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_361172,c_327946]) ).
tff(c_361279,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_361278]) ).
tff(c_361311,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_361279,c_361279,c_361166,c_186]) ).
tff(c_361312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_361311]) ).
tff(c_361313,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_361278]) ).
tff(c_361320,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_361313,c_230]) ).
tff(c_360474,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_360480,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_360474,c_310]) ).
tff(c_360487,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_360480,c_252827]) ).
tff(c_360488,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_360487]) ).
tff(c_360490,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_360488,c_226]) ).
tff(c_360522,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_360490,c_330937]) ).
tff(c_360523,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_360522]) ).
tff(c_360529,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_360523,c_272]) ).
tff(c_360492,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_360488,c_230]) ).
tff(c_360499,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_360488,c_326]) ).
tff(c_360541,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_360499,c_329858]) ).
tff(c_360542,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_360541]) ).
tff(c_360597,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_360542,c_327946]) ).
tff(c_360598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_360529,c_412,c_360492,c_360597]) ).
tff(c_360599,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_360541]) ).
tff(c_360605,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_360599,c_252]) ).
tff(c_360648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_360529,c_360605,c_360492,c_327946]) ).
tff(c_360649,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_360522]) ).
tff(c_360655,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_360649,c_252]) ).
tff(c_360727,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_360655,c_360492,c_327946]) ).
tff(c_360734,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_360727,c_368]) ).
tff(c_360658,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_360649,c_344]) ).
tff(c_360500,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_360488,c_322]) ).
tff(c_360757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_360734,c_360658,c_360500,c_360187]) ).
tff(c_360759,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_360487]) ).
tff(c_360957,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_360759,c_255415]) ).
tff(c_360958,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_360957]) ).
tff(c_360976,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_360958,c_360187]) ).
tff(c_360977,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_360976]) ).
tff(c_360978,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_360977]) ).
tff(c_360764,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_360474,c_158]) ).
tff(c_360980,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_360978,c_360978,c_360764]) ).
tff(c_360989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_360980]) ).
tff(c_360990,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_360977]) ).
tff(c_360998,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_360990,c_344]) ).
tff(c_361042,plain,
( ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_360474,c_360472]) ).
tff(c_361043,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_361042]) ).
tff(c_360993,plain,
op(e2,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_360990,c_172]) ).
tff(c_361044,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_361043,c_360993]) ).
tff(c_361054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_360998,c_361044]) ).
tff(c_361055,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_360957]) ).
tff(c_361062,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_361055,c_242]) ).
tff(c_361144,plain,
( ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_360474,c_360472]) ).
tff(c_361145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_361062,c_361144]) ).
tff(c_361146,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_361395,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_361166,c_361146]) ).
tff(c_361396,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_361172,c_412,c_361395]) ).
tff(c_361430,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_361396,c_361313,c_168]) ).
tff(c_361431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_361320,c_361430]) ).
tff(c_361432,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_330937]) ).
tff(c_361806,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_361744,c_361432]) ).
tff(c_361815,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_361806,c_226]) ).
tff(c_361148,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_361154,plain,
op(e3,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_361148,c_222]) ).
tff(c_361675,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_255415]) ).
tff(c_361443,plain,
op(op(e4,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_361148,c_162]) ).
tff(c_361676,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_361675,c_361443]) ).
tff(c_361689,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_361676,c_361676,c_152]) ).
tff(c_361698,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_361154,c_361689]) ).
tff(c_361699,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_255415]) ).
tff(c_361821,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_361815,c_361699]) ).
tff(c_361808,plain,
op(op(e2,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_361806,c_166]) ).
tff(c_361834,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_361821,c_361821,c_361808]) ).
tff(c_361835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_361834]) ).
tff(c_361836,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_361735]) ).
tff(c_361840,plain,
op(e3,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_361836,c_361443]) ).
tff(c_361853,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_361840,c_361148]) ).
tff(c_361855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_361853]) ).
tff(c_361857,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_327946]) ).
tff(c_362125,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_361857,c_361146]) ).
tff(c_362126,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_362125]) ).
tff(c_362133,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_362126,c_352]) ).
tff(c_362217,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_362133,c_361432]) ).
tff(c_362172,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_362133,c_361432]) ).
tff(c_362157,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_361699]) ).
tff(c_362159,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_362157,c_174]) ).
tff(c_362200,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_362172,c_362172,c_362159]) ).
tff(c_362201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_362200]) ).
tff(c_362202,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_361699]) ).
tff(c_362209,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_362202,c_226]) ).
tff(c_362247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_362217,c_362209]) ).
tff(c_362248,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_362125]) ).
tff(c_362260,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_362248,c_332]) ).
tff(c_361452,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_329858]) ).
tff(c_361456,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_361452,c_372]) ).
tff(c_361610,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_361456,c_361146]) ).
tff(c_361611,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_361610]) ).
tff(c_361522,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_361452,c_178]) ).
tff(c_361612,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_361611,c_361522]) ).
tff(c_361622,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_361452,c_361612]) ).
tff(c_361624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_361622]) ).
tff(c_361625,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_361610]) ).
tff(c_361508,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_361452,c_327946]) ).
tff(c_361509,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_361456,c_412,c_361508]) ).
tff(c_361515,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_361509,c_230]) ).
tff(c_361458,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_361452,c_364]) ).
tff(c_361531,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_361458,c_360187]) ).
tff(c_361532,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_361531]) ).
tff(c_361538,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_361532,c_348]) ).
tff(c_361546,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_361456,c_361538,c_361146]) ).
tff(c_361606,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_361546,c_361509,c_168]) ).
tff(c_361607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_361515,c_361606]) ).
tff(c_361608,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_361531]) ).
tff(c_361634,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_361608,c_328]) ).
tff(c_361656,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_361625,c_361634]) ).
tff(c_361657,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_329858]) ).
tff(c_362271,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_362260,c_361657]) ).
tff(c_362279,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_362271,c_246]) ).
tff(c_362253,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_362248,c_330]) ).
tff(c_362318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_362279,c_362253,c_361699]) ).
tff(c_362319,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_362657,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_362599,c_362645,c_362319]) ).
tff(c_362658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_362362,c_406,c_406,c_362657]) ).
tff(c_362659,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_327946]) ).
tff(c_363529,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_362659]) ).
tff(c_363537,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_363529,c_230]) ).
tff(c_362660,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_327946]) ).
tff(c_363641,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_362660,c_361146]) ).
tff(c_363642,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_363641]) ).
tff(c_363648,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_363642,c_350]) ).
tff(c_363658,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_363529,c_362319]) ).
tff(c_363659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_363648,c_363537,c_363658]) ).
tff(c_363660,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_363641]) ).
tff(c_363531,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_363529,c_168]) ).
tff(c_363664,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_363660,c_363531]) ).
tff(c_363674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_363537,c_363664]) ).
tff(c_363675,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_362659]) ).
tff(c_363681,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_363675,c_252]) ).
tff(c_363879,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_362660,c_361146]) ).
tff(c_363880,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_363879]) ).
tff(c_363679,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_363675,c_178]) ).
tff(c_363882,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_363880,c_363679]) ).
tff(c_363893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_363681,c_363882]) ).
tff(c_363894,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_363879]) ).
tff(c_363906,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_363894,c_332]) ).
tff(c_363404,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_329858]) ).
tff(c_363412,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_363404,c_364]) ).
tff(c_363413,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_363404,c_366]) ).
tff(c_363453,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_363413,c_362319]) ).
tff(c_363454,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_363453]) ).
tff(c_363462,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_363454,c_342]) ).
tff(c_363457,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_363454,c_350]) ).
tff(c_363469,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_362660,c_363457,c_361146]) ).
tff(c_363472,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_363469,c_328]) ).
tff(c_363489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_363412,c_363462,c_363472,c_360187]) ).
tff(c_363490,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_363453]) ).
tff(c_363495,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_363490,c_330]) ).
tff(c_363505,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_362660,c_363495,c_361146]) ).
tff(c_363405,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_363404,c_186]) ).
tff(c_363506,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_363505,c_363505,c_363405]) ).
tff(c_363518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_363506]) ).
tff(c_363519,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_329858]) ).
tff(c_363961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_363906,c_363681,c_363519]) ).
tff(c_363963,plain,
op(e0,op(e0,e1)) = e1,
inference(splitRight,[status(thm)],[c_326254]) ).
tff(c_386924,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_386919,c_363963]) ).
tff(c_384903,plain,
op(op(e0,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_170]) ).
tff(c_386938,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_386924,c_384903]) ).
tff(c_386946,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_386938]) ).
tff(c_386948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_386946]) ).
tff(c_386950,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_386918]) ).
tff(c_386952,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_386950,c_48]) ).
tff(c_386953,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_386952]) ).
tff(c_386973,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_386953,c_363963]) ).
tff(c_386981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386848,c_386973]) ).
tff(c_386982,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_386952]) ).
tff(c_387003,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_386982,c_326252]) ).
tff(c_385800,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_48]) ).
tff(c_385801,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_385800]) ).
tff(c_385806,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_385801,c_363963]) ).
tff(c_365900,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_246]) ).
tff(c_378717,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_80]) ).
tff(c_378718,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_365900,c_406,c_378717]) ).
tff(c_378719,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_378718]) ).
tff(c_378728,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_290]) ).
tff(c_381666,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_378728,c_48]) ).
tff(c_381667,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_381666]) ).
tff(c_381673,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_381667,c_363963]) ).
tff(c_381697,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_381673,c_378719]) ).
tff(c_381699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_381697]) ).
tff(c_381700,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_381666]) ).
tff(c_381708,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_381700,c_363963]) ).
tff(c_381737,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_381708,c_284]) ).
tff(c_365895,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_358]) ).
tff(c_378723,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_334]) ).
tff(c_378744,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_118]) ).
tff(c_378745,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_365652,c_378744]) ).
tff(c_378746,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_378745]) ).
tff(c_378824,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_378746,c_365874,c_130]) ).
tff(c_378825,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_420,c_378824]) ).
tff(c_378826,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_378825]) ).
tff(c_378836,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_378826,c_266]) ).
tff(c_378729,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_340]) ).
tff(c_379028,plain,
op(e1,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_378836,c_255416,c_378729,c_365652,c_34]) ).
tff(c_378835,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_378826,c_348]) ).
tff(c_378897,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_378898,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_378835,c_414,c_378897]) ).
tff(c_378899,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_378898]) ).
tff(c_378903,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_378899,c_210]) ).
tff(c_365899,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_346]) ).
tff(c_378772,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_82]) ).
tff(c_378773,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_365899,c_406,c_378772]) ).
tff(c_378774,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_378773]) ).
tff(c_378721,plain,
op(e2,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_170]) ).
tff(c_378790,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_378774,c_378721]) ).
tff(c_378797,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_378790]) ).
tff(c_378799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_378797]) ).
tff(c_378800,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_378773]) ).
tff(c_378849,plain,
op(e3,e4) = e2,
inference(splitLeft,[status(thm)],[c_378800]) ).
tff(c_378854,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_378849,c_310]) ).
tff(c_378864,plain,
( ( op(e0,e4) = e1 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_146]) ).
tff(c_378865,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_412,c_378864]) ).
tff(c_378866,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_378865]) ).
tff(c_365767,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_214]) ).
tff(c_378769,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( e4 = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378746,c_132]) ).
tff(c_378770,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_365767,c_378769]) ).
tff(c_378771,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_378770]) ).
tff(c_378803,plain,
op(op(e0,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_378771,c_180]) ).
tff(c_378868,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_378866,c_378803]) ).
tff(c_378877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_378854,c_378868]) ).
tff(c_378879,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_378865]) ).
tff(c_378956,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_378879,c_365895,c_46]) ).
tff(c_378957,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_378956]) ).
tff(c_378805,plain,
op(e4,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_378771,c_196]) ).
tff(c_378959,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_378957,c_378805]) ).
tff(c_378968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_378903,c_378959]) ).
tff(c_378969,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_378956]) ).
tff(c_378973,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_378969,c_378805]) ).
tff(c_378985,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_378973,c_365449]) ).
tff(c_378987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_378985]) ).
tff(c_378988,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_378898]) ).
tff(c_377147,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_110]) ).
tff(c_377148,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_418,c_377147]) ).
tff(c_377149,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_377148]) ).
tff(c_377157,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_377149,c_364]) ).
tff(c_375694,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_375695,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365788,c_375694]) ).
tff(c_375696,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_375695]) ).
tff(c_375701,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375696,c_363963]) ).
tff(c_375700,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_375696,c_326252]) ).
tff(c_375733,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_375700,c_232]) ).
tff(c_376644,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_108]) ).
tff(c_376645,plain,
( ( op(e4,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_375733,c_376644]) ).
tff(c_376646,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_376645]) ).
tff(c_375731,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_375700,c_366]) ).
tff(c_365880,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_372]) ).
tff(c_365898,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_252]) ).
tff(c_375704,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_375696,c_378]) ).
tff(c_376622,plain,
op(e2,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_375731,c_365880,c_365898,c_375704,c_28]) ).
tff(c_376625,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_376622,c_186]) ).
tff(c_376648,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_376646,c_376625]) ).
tff(c_375782,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_375700,c_365783,c_82]) ).
tff(c_375783,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_365899,c_406,c_375782]) ).
tff(c_375784,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_375783]) ).
tff(c_375713,plain,
op(op(e3,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_375701,c_194]) ).
tff(c_375786,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_375784,c_375713]) ).
tff(c_375795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_375731,c_375786]) ).
tff(c_375796,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_375783]) ).
tff(c_375807,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_375796,c_316]) ).
tff(c_375902,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_108]) ).
tff(c_375903,plain,
( ( op(e4,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_375733,c_375902]) ).
tff(c_375904,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_375903]) ).
tff(c_365447,plain,
op(e4,e1) != e4,
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_375877,plain,
( ( op(e4,e1) = e4 )
| ( e4 = e0 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_375696,c_365874,c_375700,c_112]) ).
tff(c_375878,plain,
op(e2,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_408,c_414,c_365447,c_375877]) ).
tff(c_375884,plain,
op(op(e1,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_375878,c_178]) ).
tff(c_375905,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_375904,c_375884]) ).
tff(c_375916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_375807,c_375905]) ).
tff(c_375917,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_375903]) ).
tff(c_375925,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_375917,c_206]) ).
tff(c_375766,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_365767,c_10]) ).
tff(c_375767,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_375766]) ).
tff(c_365878,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_280]) ).
tff(c_365786,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_236]) ).
tff(c_375832,plain,
( ( e3 = e1 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_375767,c_136]) ).
tff(c_375833,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365786,c_410,c_375832]) ).
tff(c_375834,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_375833]) ).
tff(c_375697,plain,
op(e3,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375696,c_190]) ).
tff(c_375835,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375834,c_375697]) ).
tff(c_375850,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375835,c_365783]) ).
tff(c_375852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_375850]) ).
tff(c_375854,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_375833]) ).
tff(c_375945,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_365878,c_375854,c_40]) ).
tff(c_375946,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_375945]) ).
tff(c_375987,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_375946,c_365874,c_114]) ).
tff(c_375988,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_365452,c_375987]) ).
tff(c_375989,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_375988]) ).
tff(c_375991,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_375989,c_375884]) ).
tff(c_376002,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_375991,c_365449]) ).
tff(c_376004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_376002]) ).
tff(c_376005,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_375988]) ).
tff(c_375728,plain,
op(op(e1,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_375700,c_168]) ).
tff(c_376009,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_376005,c_375728]) ).
tff(c_376016,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375767,c_376009]) ).
tff(c_376018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_376016]) ).
tff(c_376019,plain,
op(e1,e0) = e4,
inference(splitRight,[status(thm)],[c_375945]) ).
tff(c_375699,plain,
op(op(e1,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_375696,c_198]) ).
tff(c_376024,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_376019,c_375699]) ).
tff(c_376032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_375925,c_376024]) ).
tff(c_376033,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_375766]) ).
tff(c_376035,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_376033]) ).
tff(c_376041,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_376035,c_388]) ).
tff(c_375730,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_375700,c_362]) ).
tff(c_376339,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_365878,c_376041,c_40]) ).
tff(c_376340,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_376339]) ).
tff(c_376288,plain,
( ( e3 = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_376035,c_144]) ).
tff(c_376289,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365878,c_410,c_376288]) ).
tff(c_376290,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_376289]) ).
tff(c_376379,plain,
( ( e4 = e3 )
| ( op(e3,e0) = e4 )
| ( e4 = e1 )
| ( e4 = e2 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_376340,c_376290,c_376035,c_132]) ).
tff(c_376380,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_408,c_402,c_376379]) ).
tff(c_376383,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_376380,c_375713]) ).
tff(c_376388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_375730,c_376383]) ).
tff(c_376389,plain,
op(e1,e0) = e4,
inference(splitRight,[status(thm)],[c_376339]) ).
tff(c_376393,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_376389,c_375697]) ).
tff(c_365897,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_244]) ).
tff(c_376063,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_60]) ).
tff(c_376064,plain,
( ( op(e3,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_365897,c_404,c_376063]) ).
tff(c_376065,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_376064]) ).
tff(c_376038,plain,
op(e3,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_376035,c_192]) ).
tff(c_376067,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_376065,c_376038]) ).
tff(c_376077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_375733,c_376067]) ).
tff(c_376078,plain,
( ( op(e1,e4) = e2 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_376064]) ).
tff(c_376080,plain,
op(e3,e4) = e2,
inference(splitLeft,[status(thm)],[c_376078]) ).
tff(c_376405,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_376393,c_376080]) ).
tff(c_376407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_376405]) ).
tff(c_376408,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_376289]) ).
tff(c_375714,plain,
op(e1,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_375701,c_170]) ).
tff(c_376412,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_376408,c_375714]) ).
tff(c_376418,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_376412]) ).
tff(c_376420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_376418]) ).
tff(c_376421,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_376078]) ).
tff(c_376441,plain,
( ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_376421,c_118]) ).
tff(c_376442,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_376041,c_410,c_365652,c_406,c_376441]) ).
tff(c_376468,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_376442,c_376421,c_130]) ).
tff(c_376469,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_416,c_418,c_376468]) ).
tff(c_376471,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_376469,c_375728]) ).
tff(c_376478,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_376471]) ).
tff(c_376480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_376478]) ).
tff(c_376481,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_376033]) ).
tff(c_376705,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_376648,c_376481]) ).
tff(c_376707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_376705]) ).
tff(c_376708,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_376645]) ).
tff(c_365712,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_202]) ).
tff(c_365685,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_365451,c_252827]) ).
tff(c_365686,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_365685]) ).
tff(c_365653,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_365450,c_164528]) ).
tff(c_365654,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_365653]) ).
tff(c_365707,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_365686,c_365654,c_326]) ).
tff(c_365709,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_365685]) ).
tff(c_365762,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365654,c_255415]) ).
tff(c_365763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365712,c_365709,c_406,c_365762]) ).
tff(c_365765,plain,
op(e2,e3) != e3,
inference(splitRight,[status(thm)],[c_365653]) ).
tff(c_376509,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_98]) ).
tff(c_376510,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_375704,c_406,c_365765,c_376509]) ).
tff(c_376511,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_376510]) ).
tff(c_376578,plain,
( ( e2 = e1 )
| ( op(e3,e0) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_376511,c_376481,c_144]) ).
tff(c_376579,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_365878,c_410,c_412,c_376578]) ).
tff(c_376582,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_376579,c_375714]) ).
tff(c_376587,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_376582]) ).
tff(c_376589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_376587]) ).
tff(c_376590,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_376510]) ).
tff(c_376594,plain,
op(op(e4,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_376590,c_172]) ).
tff(c_376710,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_376708,c_376594]) ).
tff(c_376720,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375701,c_376710]) ).
tff(c_376722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_376720]) ).
tff(c_376723,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_375695]) ).
tff(c_376726,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_376723]) ).
tff(c_376870,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_376726,c_146]) ).
tff(c_376871,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_410,c_376870]) ).
tff(c_376872,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_376871]) ).
tff(c_374844,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_374845,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365788,c_374844]) ).
tff(c_374846,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_374845]) ).
tff(c_374851,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_374846,c_363963]) ).
tff(c_374869,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_374851,c_282]) ).
tff(c_365798,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_202]) ).
tff(c_374850,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_374846,c_326252]) ).
tff(c_374881,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_374850,c_366]) ).
tff(c_374854,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_374846,c_378]) ).
tff(c_374853,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_374846,c_288]) ).
tff(c_365789,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_222]) ).
tff(c_374944,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_56]) ).
tff(c_374945,plain,
( ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_374853,c_365789,c_402,c_374944]) ).
tff(c_374946,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_374945]) ).
tff(c_374956,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_374946,c_312]) ).
tff(c_375124,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_98]) ).
tff(c_375125,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_374854,c_406,c_365765,c_374956,c_375124]) ).
tff(c_365453,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_314]) ).
tff(c_374919,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e1 )
| ( op(e0,e2) = e4 )
| ( e4 = e3 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_374846,c_374851,c_134]) ).
tff(c_374920,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_408,c_365453,c_374919]) ).
tff(c_374924,plain,
op(e4,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_374920,c_180]) ).
tff(c_375126,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_375125,c_374924]) ).
tff(c_375073,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_374850,c_365783,c_82]) ).
tff(c_375074,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_365899,c_406,c_375073]) ).
tff(c_375075,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_375074]) ).
tff(c_374863,plain,
op(op(e3,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_374851,c_194]) ).
tff(c_375076,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_375075,c_374863]) ).
tff(c_375086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374881,c_375076]) ).
tff(c_375087,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_375074]) ).
tff(c_375091,plain,
op(op(e4,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_375087,c_162]) ).
tff(c_375140,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_375126,c_375091]) ).
tff(c_375152,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_375140]) ).
tff(c_375154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_375152]) ).
tff(c_375155,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_374945]) ).
tff(c_375181,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_375155,c_110]) ).
tff(c_375182,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_164529,c_374881,c_418,c_416,c_375181]) ).
tff(c_375382,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( e4 = e0 )
| ( op(e1,e3) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_374851,c_375182,c_365783,c_72]) ).
tff(c_375383,plain,
op(e1,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_402,c_365798,c_375382]) ).
tff(c_374877,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_374850,c_184]) ).
tff(c_375385,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375383,c_374877]) ).
tff(c_375393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374869,c_375385]) ).
tff(c_375395,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_374845]) ).
tff(c_375538,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_375395,c_48]) ).
tff(c_375539,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_375538]) ).
tff(c_375545,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375539,c_363963]) ).
tff(c_375447,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_375395,c_48]) ).
tff(c_375448,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_375447]) ).
tff(c_375454,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375448,c_363963]) ).
tff(c_372348,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_372349,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365788,c_372348]) ).
tff(c_372350,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_372349]) ).
tff(c_372355,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_372350,c_363963]) ).
tff(c_372370,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_372355,c_334]) ).
tff(c_372361,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_372350,c_374]) ).
tff(c_372873,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_94]) ).
tff(c_372874,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_365450,c_372873]) ).
tff(c_372875,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_372874]) ).
tff(c_372882,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_372875,c_260]) ).
tff(c_372373,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_372355,c_282]) ).
tff(c_372357,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_372350,c_288]) ).
tff(c_372890,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_50476,c_372373,c_372357,c_365453,c_42]) ).
tff(c_369876,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_369877,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_414,c_369876]) ).
tff(c_369878,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_369877]) ).
tff(c_369886,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_369878,c_362]) ).
tff(c_369847,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_56]) ).
tff(c_369848,plain,
( ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_365789,c_402,c_369847]) ).
tff(c_369849,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_369848]) ).
tff(c_369954,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_369849,c_146]) ).
tff(c_369955,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_410,c_369954]) ).
tff(c_369956,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_369955]) ).
tff(c_369882,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_369878,c_210]) ).
tff(c_365799,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_322]) ).
tff(c_370061,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_369882,c_365799,c_365798,c_4]) ).
tff(c_370062,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_370061]) ).
tff(c_365942,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365899,c_365785,c_16]) ).
tff(c_365943,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_365942]) ).
tff(c_365952,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_365943,c_232]) ).
tff(c_366936,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_48]) ).
tff(c_366937,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_366936]) ).
tff(c_366942,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_366937,c_363963]) ).
tff(c_366972,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_366942,c_286]) ).
tff(c_366946,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_366937,c_290]) ).
tff(c_366077,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365943,c_365783,c_86]) ).
tff(c_366078,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_420,c_410,c_366077]) ).
tff(c_366079,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_366078]) ).
tff(c_365966,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_72]) ).
tff(c_365967,plain,
( ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_365798,c_365966]) ).
tff(c_365968,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_365967]) ).
tff(c_365969,plain,
op(op(e3,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_365968,c_194]) ).
tff(c_366082,plain,
op(e1,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_366079,c_365969]) ).
tff(c_365970,plain,
op(e4,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365968,c_170]) ).
tff(c_366081,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_366079,c_365970]) ).
tff(c_366101,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_366081,c_374]) ).
tff(c_366087,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_366079,c_234]) ).
tff(c_366148,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( e1 = e0 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_366082,c_365449,c_64]) ).
tff(c_366149,plain,
( ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_366087,c_408,c_366148]) ).
tff(c_366150,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_366149]) ).
tff(c_366244,plain,
( ( e3 = e1 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_365968,c_366150,c_138]) ).
tff(c_366245,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_366101,c_402,c_410,c_366244]) ).
tff(c_365974,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365968,c_286]) ).
tff(c_365993,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_132]) ).
tff(c_365994,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_365767,c_365993]) ).
tff(c_365995,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_365994]) ).
tff(c_366003,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_365995,c_278]) ).
tff(c_365781,plain,
op(e4,e2) != e4,
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_366040,plain,
( ( op(e4,e2) = e4 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_365943,c_92]) ).
tff(c_366041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365974,c_366003,c_404,c_414,c_365781,c_366040]) ).
tff(c_366042,plain,
( ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_365994]) ).
tff(c_366044,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_366042]) ).
tff(c_366045,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_366044,c_365970]) ).
tff(c_366058,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_366045,c_365449]) ).
tff(c_366060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_366058]) ).
tff(c_366061,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_366042]) ).
tff(c_366065,plain,
op(e4,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_366061,c_196]) ).
tff(c_366248,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_366245,c_366065]) ).
tff(c_365911,plain,
( ( op(op(e0,e2),e2) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e3),e3) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_365449,c_365783,c_365783,c_365892,c_365892,c_365874,c_365874,c_326251]) ).
tff(c_365912,plain,
op(op(e4,e3),e3) != e4,
inference(splitLeft,[status(thm)],[c_365911]) ).
tff(c_366271,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_366248,c_365912]) ).
tff(c_366280,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_365968,c_366271]) ).
tff(c_366282,plain,
op(e0,e4) != e1,
inference(splitRight,[status(thm)],[c_366149]) ).
tff(c_366304,plain,
( ( op(e0,e4) = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_365968,c_146]) ).
tff(c_366305,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_408,c_366282,c_366304]) ).
tff(c_366063,plain,
op(op(e0,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_366061,c_180]) ).
tff(c_366306,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_366305,c_366063]) ).
tff(c_366315,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_366082,c_366306]) ).
tff(c_366317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_366315]) ).
tff(c_366318,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_366078]) ).
tff(c_366329,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_366318,c_316]) ).
tff(c_366642,plain,
( ( op(e0,e4) = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_365968,c_146]) ).
tff(c_366643,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_408,c_366329,c_366642]) ).
tff(c_366645,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_366643,c_366065]) ).
tff(c_366663,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_366645,c_364]) ).
tff(c_366069,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_366061,c_260]) ).
tff(c_366714,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_366663,c_365880,c_365898,c_366069,c_28]) ).
tff(c_366404,plain,
( ( op(e4,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_365943,c_96]) ).
tff(c_366405,plain,
( ( op(e4,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_416,c_366404]) ).
tff(c_366406,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_366405]) ).
tff(c_366408,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_366406,c_366063]) ).
tff(c_366416,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_366318,c_366408]) ).
tff(c_366418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_366416]) ).
tff(c_366419,plain,
( ( op(e1,e2) = e3 )
| ( op(e4,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_366405]) ).
tff(c_366421,plain,
op(e4,e2) = e3,
inference(splitLeft,[status(thm)],[c_366419]) ).
tff(c_366319,plain,
op(e3,e0) != e1,
inference(splitRight,[status(thm)],[c_366078]) ).
tff(c_366062,plain,
op(e3,e0) != e4,
inference(splitRight,[status(thm)],[c_366042]) ).
tff(c_366567,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_252828,c_366319,c_365786,c_366062,c_20]) ).
tff(c_366571,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_366567,c_365969]) ).
tff(c_366597,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_366061,c_365892,c_366571,c_98]) ).
tff(c_366598,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_365765,c_416,c_366597]) ).
tff(c_365949,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_365943,c_350]) ).
tff(c_366431,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_366421,c_348]) ).
tff(c_366552,plain,
op(e1,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_365949,c_365879,c_365896,c_366431,c_36]) ).
tff(c_366558,plain,
op(e4,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_366552,c_178]) ).
tff(c_366599,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_366598,c_366558]) ).
tff(c_363962,plain,
( ( op(e0,op(e0,e2)) != e2 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e3)) != e3 )
| ( op(e4,op(e4,e4)) != e4 ) ),
inference(splitRight,[status(thm)],[c_326254]) ).
tff(c_365940,plain,
( ( op(e0,op(e0,e2)) != e2 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e3)) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_365449,c_365783,c_365783,c_365892,c_365892,c_365874,c_365874,c_363962]) ).
tff(c_365941,plain,
op(e4,op(e4,e3)) != e3,
inference(splitLeft,[status(thm)],[c_365940]) ).
tff(c_366616,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_366599,c_365941]) ).
tff(c_366625,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_366421,c_366616]) ).
tff(c_366626,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_366419]) ).
tff(c_366632,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_366626,c_178]) ).
tff(c_366715,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_366714,c_366632]) ).
tff(c_366743,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_366715,c_365783]) ).
tff(c_366745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_366743]) ).
tff(c_366747,plain,
op(e0,e3) != e4,
inference(splitRight,[status(thm)],[c_365967]) ).
tff(c_367001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252838,c_366972,c_366946,c_365788,c_366747,c_44]) ).
tff(c_367002,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_366936]) ).
tff(c_367004,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_367002]) ).
tff(c_367009,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_367004,c_326252]) ).
tff(c_367041,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_367009,c_364]) ).
tff(c_367013,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_367004,c_378]) ).
tff(c_367075,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_367041,c_365880,c_365898,c_367013,c_28]) ).
tff(c_367083,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_367075,c_248]) ).
tff(c_367010,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_367004,c_363963]) ).
tff(c_367026,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_367010,c_282]) ).
tff(c_367118,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_252838,c_367026,c_365788,c_366747,c_44]) ).
tff(c_367017,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_367004,c_376]) ).
tff(c_367048,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( e4 = e0 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365943,c_365783,c_74]) ).
tff(c_367049,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_367017,c_414,c_402,c_365451,c_367048]) ).
tff(c_367051,plain,
op(op(e0,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_367049,c_170]) ).
tff(c_367119,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_367118,c_367051]) ).
tff(c_367129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_367083,c_367119]) ).
tff(c_367130,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_367002]) ).
tff(c_367136,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_367130,c_326252]) ).
tff(c_367146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365952,c_367136]) ).
tff(c_367147,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_365942]) ).
tff(c_367149,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_367147]) ).
tff(c_367159,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_367149,c_232]) ).
tff(c_368062,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_112]) ).
tff(c_368063,plain,
( ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_367159,c_365447,c_368062]) ).
tff(c_368064,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_368063]) ).
tff(c_367157,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_367149,c_238]) ).
tff(c_367169,plain,
( ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_144]) ).
tff(c_367170,plain,
( ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365878,c_367169]) ).
tff(c_367171,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_367170]) ).
tff(c_367202,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_367171,c_132]) ).
tff(c_367203,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_367157,c_365767,c_367202]) ).
tff(c_367206,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_367203,c_198]) ).
tff(c_368065,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_368064,c_367206]) ).
tff(c_368108,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_368065,c_365449]) ).
tff(c_368110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_368108]) ).
tff(c_368112,plain,
op(e0,e1) != e4,
inference(splitRight,[status(thm)],[c_368063]) ).
tff(c_367438,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_367171,c_365892,c_94]) ).
tff(c_367439,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_365450,c_367438]) ).
tff(c_367440,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_367439]) ).
tff(c_367470,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_367171,c_367440,c_365892,c_98]) ).
tff(c_367471,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_402,c_406,c_365765,c_367470]) ).
tff(c_367231,plain,
( ( op(e4,e2) = e3 )
| ( e4 = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_367149,c_96]) ).
tff(c_367232,plain,
( ( op(e4,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_402,c_367231]) ).
tff(c_367233,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_367232]) ).
tff(c_367172,plain,
op(op(e0,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_367171,c_180]) ).
tff(c_367234,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_367233,c_367172]) ).
tff(c_367271,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_367234,c_376]) ).
tff(c_367241,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_367233,c_292]) ).
tff(c_367328,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_367271,c_367241,c_48]) ).
tff(c_367331,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_367328,c_367206]) ).
tff(c_367345,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_367331,c_365449]) ).
tff(c_367347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_367345]) ).
tff(c_367348,plain,
( ( op(e1,e2) = e3 )
| ( op(e4,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_367232]) ).
tff(c_367350,plain,
op(e4,e2) = e3,
inference(splitLeft,[status(thm)],[c_367348]) ).
tff(c_367351,plain,
op(op(e2,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_367350,c_156]) ).
tff(c_367473,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_367471,c_367351]) ).
tff(c_367480,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_367473]) ).
tff(c_367482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_367480]) ).
tff(c_367483,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_367439]) ).
tff(c_367153,plain,
op(e4,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_367149,c_174]) ).
tff(c_367503,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_367483,c_367153]) ).
tff(c_367515,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_367503,c_365449]) ).
tff(c_367517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_367515]) ).
tff(c_367518,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_367348]) ).
tff(c_368139,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_367518,c_365892,c_367149,c_104]) ).
tff(c_368140,plain,
( ( op(e4,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_412,c_408,c_368139]) ).
tff(c_368141,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_368140]) ).
tff(c_368143,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_368141,c_367172]) ).
tff(c_368152,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_368143]) ).
tff(c_368154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_368152]) ).
tff(c_368155,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_368140]) ).
tff(c_367553,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_367554,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_367553]) ).
tff(c_367555,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_367554]) ).
tff(c_367557,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_367555,c_367172]) ).
tff(c_367566,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_367557]) ).
tff(c_367568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_367566]) ).
tff(c_367569,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_367554]) ).
tff(c_367583,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_367569]) ).
tff(c_367179,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_367171,c_256]) ).
tff(c_367597,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_112]) ).
tff(c_367598,plain,
( ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_367159,c_365447,c_367597]) ).
tff(c_367599,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_367598]) ).
tff(c_367603,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_367599,c_326252]) ).
tff(c_367520,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_68]) ).
tff(c_367521,plain,
( ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_414,c_367520]) ).
tff(c_367522,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_367521]) ).
tff(c_367525,plain,
op(e0,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_367522,c_158]) ).
tff(c_367616,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_367603,c_367525]) ).
tff(c_367625,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_367616]) ).
tff(c_367627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_367625]) ).
tff(c_367628,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_367598]) ).
tff(c_367635,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_367628,c_250]) ).
tff(c_367680,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_367179,c_365900,c_365765,c_367635,c_24]) ).
tff(c_367152,plain,
op(op(e2,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_367149,c_166]) ).
tff(c_367682,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_367680,c_367152]) ).
tff(c_367690,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_367583,c_367682]) ).
tff(c_367692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_367690]) ).
tff(c_367693,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_367569]) ).
tff(c_367701,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_367693,c_282]) ).
tff(c_367177,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_367171,c_254]) ).
tff(c_367709,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_48]) ).
tff(c_367710,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_367709]) ).
tff(c_367204,plain,
op(op(e0,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_367203,c_190]) ).
tff(c_367712,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_367710,c_367204]) ).
tff(c_367723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_367177,c_367712]) ).
tff(c_367724,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_367709]) ).
tff(c_367734,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_367724]) ).
tff(c_367740,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_367734,c_363963]) ).
tff(c_367748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_367701,c_367740]) ).
tff(c_367749,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_367724]) ).
tff(c_367752,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_367749,c_367206]) ).
tff(c_367758,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_367749,c_288]) ).
tff(c_367753,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_367749,c_367204]) ).
tff(c_367823,plain,
( ( e4 = e3 )
| ( e3 = e1 )
| ( op(e2,e4) = e3 )
| ( e3 = e0 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_367522,c_367753,c_365449,c_56]) ).
tff(c_367824,plain,
op(e2,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_367758,c_416,c_410,c_402,c_367823]) ).
tff(c_367850,plain,
( ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_367171,c_365892,c_367824,c_94]) ).
tff(c_367851,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_402,c_367850]) ).
tff(c_367852,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_367851]) ).
tff(c_367538,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_367518,c_186]) ).
tff(c_367855,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_367852,c_367538]) ).
tff(c_367861,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_367752,c_367855]) ).
tff(c_367863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_367861]) ).
tff(c_367864,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_367851]) ).
tff(c_367867,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_367864,c_367152]) ).
tff(c_367878,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_367867,c_365449]) ).
tff(c_367880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_367878]) ).
tff(c_367881,plain,
( ( op(e2,e4) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_367521]) ).
tff(c_367904,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_367881]) ).
tff(c_367951,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_367171,c_365892,c_94]) ).
tff(c_367952,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_365450,c_367951]) ).
tff(c_367953,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_367952]) ).
tff(c_367887,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_367518,c_178]) ).
tff(c_367968,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_367953,c_367887]) ).
tff(c_367976,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_367904,c_367968]) ).
tff(c_367978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_367976]) ).
tff(c_367979,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_367952]) ).
tff(c_367995,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_367979,c_367152]) ).
tff(c_368008,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_367995,c_365449]) ).
tff(c_368010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_368008]) ).
tff(c_368011,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_367881]) ).
tff(c_368014,plain,
op(e0,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_368011,c_156]) ).
tff(c_368173,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_368155,c_368014]) ).
tff(c_368181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_368112,c_368173]) ).
tff(c_368182,plain,
( ( op(e3,e0) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_367170]) ).
tff(c_368188,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_368182]) ).
tff(c_369043,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_368188,c_382]) ).
tff(c_368183,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_367170]) ).
tff(c_368237,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_368238,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_368237]) ).
tff(c_368239,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_368238]) ).
tff(c_368248,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_368239,c_284]) ).
tff(c_368189,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_368190,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_414,c_368189]) ).
tff(c_368191,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_368190]) ).
tff(c_368213,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_368191,c_362]) ).
tff(c_368212,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_368191,c_364]) ).
tff(c_368535,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_110]) ).
tff(c_368536,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_368212,c_418,c_368535]) ).
tff(c_368537,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_368536]) ).
tff(c_368539,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_368537,c_367153]) ).
tff(c_368548,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_368188,c_368539]) ).
tff(c_368550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_368548]) ).
tff(c_368551,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_368536]) ).
tff(c_368579,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_368551,c_98]) ).
tff(c_368580,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_365765,c_416,c_368579]) ).
tff(c_368581,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_368580]) ).
tff(c_368243,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_368239,c_196]) ).
tff(c_368582,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_368581,c_368243]) ).
tff(c_368592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_368213,c_368582]) ).
tff(c_368593,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_368580]) ).
tff(c_368642,plain,
( ( e4 = e0 )
| ( op(e3,e1) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_368593,c_368191,c_112]) ).
tff(c_368643,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_367159,c_414,c_368642]) ).
tff(c_368649,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_368643,c_363963]) ).
tff(c_368656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_368248,c_368649]) ).
tff(c_368657,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_368238]) ).
tff(c_368659,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_368657]) ).
tff(c_368192,plain,
op(op(e0,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_368188,c_160]) ).
tff(c_368661,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_368659,c_368192]) ).
tff(c_368670,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_368661]) ).
tff(c_368672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_368670]) ).
tff(c_368673,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_368657]) ).
tff(c_368675,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_368676,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365788,c_368675]) ).
tff(c_368677,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_368676]) ).
tff(c_368681,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_368677,c_326252]) ).
tff(c_368690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_368213,c_368681]) ).
tff(c_368691,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_368676]) ).
tff(c_368715,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_368691]) ).
tff(c_368718,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_368715,c_368192]) ).
tff(c_368727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_367159,c_368718]) ).
tff(c_368728,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_368691]) ).
tff(c_368755,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_368728,c_354]) ).
tff(c_368777,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_130]) ).
tff(c_368778,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_368777]) ).
tff(c_368779,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_368778]) ).
tff(c_368786,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_368779,c_266]) ).
tff(c_368886,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_368786,c_255416,c_365652,c_34]) ).
tff(c_368887,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_368886]) ).
tff(c_368674,plain,
op(e0,e4) != e1,
inference(splitRight,[status(thm)],[c_368657]) ).
tff(c_368730,plain,
( ( e4 = e0 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_368191,c_112]) ).
tff(c_368731,plain,
( ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_367159,c_414,c_368730]) ).
tff(c_368732,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_368731]) ).
tff(c_368738,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_368732,c_363963]) ).
tff(c_368746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_368674,c_368738]) ).
tff(c_368747,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_368731]) ).
tff(c_368767,plain,
op(op(e1,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_368747,c_178]) ).
tff(c_368800,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_368779,c_368767]) ).
tff(c_368809,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_368800,c_316]) ).
tff(c_368817,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_367149,c_365783,c_82]) ).
tff(c_368818,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_406,c_368809,c_368817]) ).
tff(c_368819,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_368818]) ).
tff(c_368694,plain,
op(e1,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_368673,c_170]) ).
tff(c_368820,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_368819,c_368694]) ).
tff(c_368830,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_368779,c_368820]) ).
tff(c_368832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_368830]) ).
tff(c_368833,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_368818]) ).
tff(c_368839,plain,
op(op(e1,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_368833,c_168]) ).
tff(c_368888,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_368887,c_368839]) ).
tff(c_368897,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_368888]) ).
tff(c_368899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_368897]) ).
tff(c_368900,plain,
op(e1,e3) = e4,
inference(splitRight,[status(thm)],[c_368886]) ).
tff(c_368902,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_368900,c_368839]) ).
tff(c_368912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_368755,c_368902]) ).
tff(c_368913,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_368778]) ).
tff(c_368915,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_368913]) ).
tff(c_368207,plain,
op(e0,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_368191,c_182]) ).
tff(c_368916,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_368915,c_368207]) ).
tff(c_368926,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_368916]) ).
tff(c_368928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_368926]) ).
tff(c_368929,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_368913]) ).
tff(c_369003,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_368673,c_368929,c_365783,c_80]) ).
tff(c_369004,plain,
op(e4,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_418,c_365900,c_406,c_369003]) ).
tff(c_368754,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_368728,c_360]) ).
tff(c_368972,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_367149,c_365783,c_82]) ).
tff(c_368973,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_406,c_368972]) ).
tff(c_368974,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_368973]) ).
tff(c_368975,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_368974,c_368694]) ).
tff(c_368986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_368754,c_368975]) ).
tff(c_368987,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_368973]) ).
tff(c_368989,plain,
op(e3,e4) = e2,
inference(splitLeft,[status(thm)],[c_368987]) ).
tff(c_368991,plain,
op(op(e4,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_368989,c_162]) ).
tff(c_369017,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_369004,c_368991]) ).
tff(c_369018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_369017]) ).
tff(c_369019,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_368987]) ).
tff(c_368931,plain,
op(op(e3,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_368929,c_184]) ).
tff(c_369021,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_369019,c_368931]) ).
tff(c_369031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_368183,c_369021]) ).
tff(c_369033,plain,
op(e4,e1) != e0,
inference(splitRight,[status(thm)],[c_368190]) ).
tff(c_369032,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_368190]) ).
tff(c_369052,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_369032]) ).
tff(c_369062,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_369052,c_206]) ).
tff(c_369108,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_48]) ).
tff(c_369109,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_369108]) ).
tff(c_369084,plain,
( ( e4 = e1 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_368188,c_132]) ).
tff(c_369085,plain,
( ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_367157,c_408,c_369084]) ).
tff(c_369086,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_369085]) ).
tff(c_369089,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_369086,c_198]) ).
tff(c_369110,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_369109,c_369089]) ).
tff(c_369123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_369062,c_369110]) ).
tff(c_369124,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_369108]) ).
tff(c_369126,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_369124]) ).
tff(c_369131,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_369126,c_326252]) ).
tff(c_369141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_369033,c_369131]) ).
tff(c_369142,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_369124]) ).
tff(c_369150,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_369142,c_363963]) ).
tff(c_369195,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_369150,c_286]) ).
tff(c_369063,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_369052,c_328]) ).
tff(c_369090,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_369086,c_276]) ).
tff(c_369268,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_369063,c_255416,c_365652,c_369090,c_34]) ).
tff(c_369149,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_369142,c_326252]) ).
tff(c_369180,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_369149,c_184]) ).
tff(c_369270,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_369268,c_369180]) ).
tff(c_369278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_369195,c_369270]) ).
tff(c_369279,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_369085]) ).
tff(c_369329,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_369279,c_365892,c_98]) ).
tff(c_369330,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_365765,c_369329]) ).
tff(c_369331,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_369330]) ).
tff(c_369303,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_365787,c_367159,c_18]) ).
tff(c_369304,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_369303]) ).
tff(c_369346,plain,
( ( op(e4,e1) = e4 )
| ( e4 = e0 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_369331,c_369304,c_112]) ).
tff(c_369347,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_414,c_365447,c_369346]) ).
tff(c_369351,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_369347,c_326252]) ).
tff(c_369359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_369033,c_369351]) ).
tff(c_369360,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_369330]) ).
tff(c_369369,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_369360,c_312]) ).
tff(c_369061,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_369052,c_324]) ).
tff(c_369288,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_369279,c_256]) ).
tff(c_369568,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_369061,c_365900,c_365765,c_369288,c_24]) ).
tff(c_369571,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_369568,c_367152]) ).
tff(c_369578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_369369,c_369571]) ).
tff(c_369579,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_369303]) ).
tff(c_369588,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_369579,c_240]) ).
tff(c_369637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252828,c_369043,c_369588,c_365786,c_367157,c_20]) ).
tff(c_369638,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_369032]) ).
tff(c_369767,plain,
( ( e1 = e0 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_367149,c_369638,c_104]) ).
tff(c_369768,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_365879,c_412,c_408,c_420,c_369767]) ).
tff(c_369711,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_369712,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365788,c_369711]) ).
tff(c_369713,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_369712]) ).
tff(c_369717,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_369713,c_363963]) ).
tff(c_369734,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_369717,c_286]) ).
tff(c_369782,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_369768,c_369734]) ).
tff(c_369783,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_369712]) ).
tff(c_369789,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_369783]) ).
tff(c_369034,plain,
op(op(e0,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_368188,c_160]) ).
tff(c_369790,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_369789,c_369034]) ).
tff(c_369801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_367159,c_369790]) ).
tff(c_369802,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_369783]) ).
tff(c_369821,plain,
( ( e1 = e0 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_369802,c_365892,c_367149,c_369638,c_104]) ).
tff(c_369822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_365879,c_412,c_408,c_420,c_369821]) ).
tff(c_369823,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_368182]) ).
tff(c_369833,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_369823,c_234]) ).
tff(c_369917,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_369823,c_367149,c_365783,c_82]) ).
tff(c_369918,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_404,c_406,c_369917]) ).
tff(c_369919,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_369918]) ).
tff(c_369927,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_369919,c_228]) ).
tff(c_370037,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_369833,c_369927,c_365789,c_365451,c_12]) ).
tff(c_370040,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_370037,c_154]) ).
tff(c_370063,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_370062,c_370040]) ).
tff(c_370087,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_370063,c_363963]) ).
tff(c_370098,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_370087,c_369849]) ).
tff(c_370100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_370098]) ).
tff(c_370101,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_370061]) ).
tff(c_370104,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_370101,c_370040]) ).
tff(c_370116,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_369956,c_370104]) ).
tff(c_370118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_370116]) ).
tff(c_370119,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_369955]) ).
tff(c_369827,plain,
op(op(e0,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_369823,c_170]) ).
tff(c_370135,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_370119,c_369827]) ).
tff(c_370144,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_370135]) ).
tff(c_370146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_370144]) ).
tff(c_370148,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_369918]) ).
tff(c_370337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_369886,c_365883,c_370148,c_365787,c_367159,c_18]) ).
tff(c_370339,plain,
op(e4,e1) != e0,
inference(splitRight,[status(thm)],[c_369877]) ).
tff(c_369856,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_369849,c_288]) ).
tff(c_370392,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_369856,c_48]) ).
tff(c_370393,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_370392]) ).
tff(c_370398,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_370393,c_326252]) ).
tff(c_370439,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( e4 = e0 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_370398,c_365892,c_94]) ).
tff(c_370440,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_365450,c_370439]) ).
tff(c_370441,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_370440]) ).
tff(c_370361,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_369849,c_146]) ).
tff(c_370362,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_410,c_370361]) ).
tff(c_370363,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_370362]) ).
tff(c_370368,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_370363,c_196]) ).
tff(c_370443,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_370441,c_370368]) ).
tff(c_370452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_370339,c_370443]) ).
tff(c_370453,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_370440]) ).
tff(c_370456,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_370453,c_367152]) ).
tff(c_370468,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_370456,c_365449]) ).
tff(c_370470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_370468]) ).
tff(c_370471,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_370392]) ).
tff(c_370477,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_370471,c_326252]) ).
tff(c_370485,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_370339,c_370477]) ).
tff(c_370486,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_370362]) ).
tff(c_370489,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_370486,c_369827]) ).
tff(c_370497,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_370489]) ).
tff(c_370499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_370497]) ).
tff(c_370501,plain,
op(e0,e4) != e3,
inference(splitRight,[status(thm)],[c_369848]) ).
tff(c_371216,plain,
( ( op(e4,e0) = e4 )
| ( e4 = e1 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_369823,c_132]) ).
tff(c_371217,plain,
( ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_365767,c_371216]) ).
tff(c_371218,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_371217]) ).
tff(c_370527,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_370528,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_414,c_370527]) ).
tff(c_370529,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_370528]) ).
tff(c_370537,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_370529,c_362]) ).
tff(c_370536,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_370529,c_364]) ).
tff(c_370853,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_48]) ).
tff(c_370854,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_370853]) ).
tff(c_370858,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_370854,c_326252]) ).
tff(c_370867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_370536,c_370858]) ).
tff(c_370868,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_370853]) ).
tff(c_370886,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_370868]) ).
tff(c_370892,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_370886,c_363963]) ).
tff(c_370500,plain,
( ( op(e1,e4) = e3 )
| ( op(e2,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_369848]) ).
tff(c_370502,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_370500]) ).
tff(c_370933,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_370502,c_110]) ).
tff(c_370934,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_164529,c_370536,c_418,c_416,c_370933]) ).
tff(c_370935,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_370934,c_367152]) ).
tff(c_370944,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_370892,c_370935]) ).
tff(c_370946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_370944]) ).
tff(c_370947,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_370868]) ).
tff(c_370953,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_370947,c_326252]) ).
tff(c_370962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_370537,c_370953]) ).
tff(c_370964,plain,
op(e4,e1) != e0,
inference(splitRight,[status(thm)],[c_370528]) ).
tff(c_370986,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_369823,c_367149,c_365783,c_82]) ).
tff(c_370987,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_404,c_406,c_370986]) ).
tff(c_370988,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_370987]) ).
tff(c_370997,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_370988,c_376]) ).
tff(c_371088,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_370997,c_48]) ).
tff(c_371089,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_371088]) ).
tff(c_371094,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_371089,c_326252]) ).
tff(c_371105,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_371094,c_370988]) ).
tff(c_371107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_371105]) ).
tff(c_371108,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_371088]) ).
tff(c_371115,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_371108,c_326252]) ).
tff(c_371123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_370964,c_371115]) ).
tff(c_371124,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_370987]) ).
tff(c_370963,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_370528]) ).
tff(c_370965,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_370963]) ).
tff(c_370968,plain,
op(op(e3,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_370965,c_154]) ).
tff(c_371153,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_371124,c_370968]) ).
tff(c_371158,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_371153,c_260]) ).
tff(c_371170,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_112]) ).
tff(c_371171,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_371158,c_367159,c_365447,c_371170]) ).
tff(c_371176,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_371171,c_326252]) ).
tff(c_371185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_370964,c_371176]) ).
tff(c_371186,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_370963]) ).
tff(c_370503,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_370502,c_156]) ).
tff(c_371188,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_371186,c_370503]) ).
tff(c_371197,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_369823,c_371188]) ).
tff(c_371199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_371197]) ).
tff(c_371200,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_370500]) ).
tff(c_371392,plain,
( ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_371218,c_365874,c_371200,c_130]) ).
tff(c_371393,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_420,c_416,c_371392]) ).
tff(c_371394,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_371393]) ).
tff(c_371403,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_371394,c_266]) ).
tff(c_371223,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_371218,c_276]) ).
tff(c_371465,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_371403,c_255416,c_365652,c_371223,c_34]) ).
tff(c_371473,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_371465,c_340]) ).
tff(c_371562,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_371473,c_365788,c_44]) ).
tff(c_371563,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_371562]) ).
tff(c_371565,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_371563,c_369827]) ).
tff(c_371574,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_371565]) ).
tff(c_371576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_371574]) ).
tff(c_371577,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_371562]) ).
tff(c_371581,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_371577,c_369827]) ).
tff(c_371204,plain,
op(e3,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_371200,c_158]) ).
tff(c_371595,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_371581,c_371204]) ).
tff(c_371604,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_371595]) ).
tff(c_371606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_371604]) ).
tff(c_371608,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_371393]) ).
tff(c_371607,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_371393]) ).
tff(c_371627,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_371607,c_328]) ).
tff(c_371772,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_371773,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365788,c_370501,c_371772]) ).
tff(c_371774,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_371773]) ).
tff(c_371222,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_371218,c_198]) ).
tff(c_371789,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_371774,c_371222]) ).
tff(c_371801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_371627,c_371789]) ).
tff(c_371802,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_371773]) ).
tff(c_371850,plain,
( ( op(e4,e2) = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_371802,c_365892,c_367149,c_108]) ).
tff(c_371851,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_416,c_371608,c_418,c_414,c_371850]) ).
tff(c_367155,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_367149,c_356]) ).
tff(c_371250,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( e3 = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_371200,c_365449,c_64]) ).
tff(c_371251,plain,
( ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_369833,c_408,c_371250]) ).
tff(c_371252,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_371251]) ).
tff(c_371325,plain,
( ( e4 = e1 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_371252,c_134]) ).
tff(c_371326,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_367155,c_408,c_371325]) ).
tff(c_371327,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_371326]) ).
tff(c_371329,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_371327,c_371222]) ).
tff(c_371344,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_371329,c_365449]) ).
tff(c_371346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_371344]) ).
tff(c_371347,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_371326]) ).
tff(c_371350,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_371347,c_369827]) ).
tff(c_371364,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_371350,c_371204]) ).
tff(c_371373,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_371364]) ).
tff(c_371375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_371373]) ).
tff(c_371376,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_371251]) ).
tff(c_371381,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_371376,c_172]) ).
tff(c_371854,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_371851,c_371381]) ).
tff(c_371871,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_371854,c_363963]) ).
tff(c_371883,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_371871,c_371802]) ).
tff(c_371885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_371883]) ).
tff(c_371886,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_371217]) ).
tff(c_367156,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_367149,c_350]) ).
tff(c_369824,plain,
op(e4,e0) != e1,
inference(splitRight,[status(thm)],[c_368182]) ).
tff(c_371961,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_369824,c_365767,c_10]) ).
tff(c_371962,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_371961]) ).
tff(c_371902,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( e3 = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_371200,c_365449,c_64]) ).
tff(c_371903,plain,
( ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_369833,c_408,c_371902]) ).
tff(c_371904,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_371903]) ).
tff(c_371906,plain,
op(e1,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_371904,c_160]) ).
tff(c_371963,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_371962,c_371906]) ).
tff(c_371973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_367156,c_371963]) ).
tff(c_371974,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_371961]) ).
tff(c_371909,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_371904,c_282]) ).
tff(c_371945,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_371909,c_365788,c_44]) ).
tff(c_371946,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_371945]) ).
tff(c_371948,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_371946,c_369827]) ).
tff(c_371985,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_371948,c_378]) ).
tff(c_372051,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_371946,c_371904,c_138]) ).
tff(c_372052,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_371985,c_406,c_410,c_372051]) ).
tff(c_371891,plain,
op(e4,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_371886,c_196]) ).
tff(c_372053,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_372052,c_371891]) ).
tff(c_372066,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_372053,c_365941]) ).
tff(c_372077,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_371974,c_372066]) ).
tff(c_372078,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_371945]) ).
tff(c_372081,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_372078,c_369827]) ).
tff(c_372095,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_372081,c_371204]) ).
tff(c_372105,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_372095]) ).
tff(c_372107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_372105]) ).
tff(c_372108,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_371903]) ).
tff(c_372271,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_371886,c_365892,c_372108,c_110]) ).
tff(c_372272,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_418,c_420,c_372271]) ).
tff(c_372273,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_372272]) ).
tff(c_372280,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_372273,c_364]) ).
tff(c_372287,plain,
( ( op(e4,e2) = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_367149,c_104]) ).
tff(c_372288,plain,
( ( op(e4,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365879,c_412,c_408,c_372287]) ).
tff(c_372289,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_372288]) ).
tff(c_372291,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_372289,c_371891]) ).
tff(c_372301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372280,c_372291]) ).
tff(c_372302,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_372288]) ).
tff(c_372216,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_372108,c_172]) ).
tff(c_372304,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_372302,c_372216]) ).
tff(c_372313,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_372304]) ).
tff(c_372315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_372313]) ).
tff(c_372316,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_372272]) ).
tff(c_372320,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_372316,c_367152]) ).
tff(c_372329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_370501,c_372320]) ).
tff(c_372330,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_367147]) ).
tff(c_372340,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_372330,c_238]) ).
tff(c_372392,plain,
( ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_144]) ).
tff(c_372393,plain,
( ( op(e4,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365878,c_372340,c_372392]) ).
tff(c_372394,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_372393]) ).
tff(c_372500,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_365652,c_34]) ).
tff(c_372501,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_372500]) ).
tff(c_372354,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_372350,c_326252]) ).
tff(c_372382,plain,
op(op(e1,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_372354,c_168]) ).
tff(c_372502,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_372501,c_372382]) ).
tff(c_372510,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_372502]) ).
tff(c_372512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_372510]) ).
tff(c_372513,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_372500]) ).
tff(c_372515,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_372513]) ).
tff(c_372381,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_372354,c_184]) ).
tff(c_372518,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_372515,c_372381]) ).
tff(c_372526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372373,c_372518]) ).
tff(c_372527,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_372513]) ).
tff(c_372531,plain,
op(e2,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_372527,c_372382]) ).
tff(c_372539,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_372394,c_372531]) ).
tff(c_372541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_372539]) ).
tff(c_372542,plain,
op(e4,e0) = e1,
inference(splitRight,[status(thm)],[c_372393]) ).
tff(c_372577,plain,
op(op(e0,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_372542,c_160]) ).
tff(c_372892,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_372890,c_372577]) ).
tff(c_372905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372882,c_372892]) ).
tff(c_372906,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_372874]) ).
tff(c_372908,plain,
op(e2,e3) = e4,
inference(splitLeft,[status(thm)],[c_372906]) ).
tff(c_372335,plain,
op(op(e2,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_372330,c_166]) ).
tff(c_372925,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_372908,c_372335]) ).
tff(c_372935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372361,c_372925]) ).
tff(c_372936,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_372906]) ).
tff(c_372343,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_372330,c_224]) ).
tff(c_372387,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_372354,c_228]) ).
tff(c_372338,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_372330,c_356]) ).
tff(c_372356,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_372350,c_292]) ).
tff(c_372756,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_130110,c_372338,c_365895,c_372356,c_46]) ).
tff(c_372544,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_118]) ).
tff(c_372545,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_365652,c_372544]) ).
tff(c_372546,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_372545]) ).
tff(c_372351,plain,
op(e3,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_372350,c_190]) ).
tff(c_372573,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_372546,c_372351]) ).
tff(c_372574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_372573]) ).
tff(c_372575,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_372545]) ).
tff(c_372591,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_372575]) ).
tff(c_372601,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_372591,c_312]) ).
tff(c_372358,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_372350,c_378]) ).
tff(c_372576,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_372545]) ).
tff(c_372630,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_365878,c_372576,c_40]) ).
tff(c_372631,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_372630]) ).
tff(c_372353,plain,
op(op(e1,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_372350,c_198]) ).
tff(c_372632,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_372631,c_372353]) ).
tff(c_372666,plain,
( ( op(e2,e4) = e4 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_372632,c_94]) ).
tff(c_372667,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_414,c_365450,c_372666]) ).
tff(c_372668,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_372667]) ).
tff(c_372699,plain,
( ( op(e2,e4) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_372668,c_365892,c_372632,c_98]) ).
tff(c_372700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_372358,c_406,c_416,c_372601,c_372699]) ).
tff(c_372701,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_372667]) ).
tff(c_372734,plain,
( ( op(e2,e4) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_372701,c_365892,c_372632,c_98]) ).
tff(c_372735,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_416,c_372601,c_372734]) ).
tff(c_372740,plain,
op(e3,op(e0,e2)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_372735,c_196]) ).
tff(c_372757,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_372756,c_372740]) ).
tff(c_372767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372387,c_372757]) ).
tff(c_372768,plain,
op(e1,e0) = e4,
inference(splitRight,[status(thm)],[c_372630]) ).
tff(c_372771,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_372768,c_372351]) ).
tff(c_372780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372343,c_372771]) ).
tff(c_372781,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_372575]) ).
tff(c_372783,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_372781,c_186]) ).
tff(c_372939,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_372936,c_372783]) ).
tff(c_372949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372370,c_372939]) ).
tff(c_372951,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_372349]) ).
tff(c_373032,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_110]) ).
tff(c_373033,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_418,c_373032]) ).
tff(c_373034,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_373033]) ).
tff(c_373041,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_373034,c_248]) ).
tff(c_372950,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_372349]) ).
tff(c_372960,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_372950]) ).
tff(c_372963,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_372960,c_320]) ).
tff(c_373000,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_372960,c_146]) ).
tff(c_373001,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_372338,c_410,c_373000]) ).
tff(c_372975,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_372330,c_365783,c_74]) ).
tff(c_372976,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_365451,c_372975]) ).
tff(c_372977,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_372976]) ).
tff(c_372980,plain,
op(op(e0,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_372977,c_170]) ).
tff(c_373002,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_373001,c_372980]) ).
tff(c_373012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372963,c_373002]) ).
tff(c_373014,plain,
op(e3,e0) != e4,
inference(splitRight,[status(thm)],[c_372976]) ).
tff(c_373450,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_252828,c_372340,c_365786,c_373014,c_20]) ).
tff(c_373013,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_372976]) ).
tff(c_373023,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_373013,c_376]) ).
tff(c_373397,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_372951,c_373023,c_48]) ).
tff(c_373404,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_373397,c_363963]) ).
tff(c_373069,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_365788,c_44]) ).
tff(c_373070,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_373069]) ).
tff(c_373296,plain,
( ( e4 = e3 )
| ( e4 = e1 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_373070,c_372960,c_134]) ).
tff(c_373297,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_373023,c_408,c_402,c_373296]) ).
tff(c_373412,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_373404,c_373297]) ).
tff(c_373414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_373412]) ).
tff(c_373415,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_373069]) ).
tff(c_373419,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_373415]) ).
tff(c_373421,plain,
op(op(e3,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_373419,c_194]) ).
tff(c_373451,plain,
op(e2,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_373450,c_373421]) ).
tff(c_373462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_373041,c_373451]) ).
tff(c_373463,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_373415]) ).
tff(c_373473,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_373463,c_290]) ).
tff(c_373490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_373473,c_372951,c_373023,c_48]) ).
tff(c_373492,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_373033]) ).
tff(c_373520,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e4 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_373013,c_372330,c_365783,c_82]) ).
tff(c_373521,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_412,c_406,c_373520]) ).
tff(c_373522,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_373521]) ).
tff(c_373532,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_373522,c_382]) ).
tff(c_373549,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_373532,c_365767,c_10]) ).
tff(c_373550,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_373549]) ).
tff(c_372962,plain,
op(op(e4,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_372960,c_192]) ).
tff(c_373553,plain,
op(e1,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_373550,c_372962]) ).
tff(c_373572,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_373553,c_266]) ).
tff(c_373586,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e0 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_373553,c_365783,c_72]) ).
tff(c_373587,plain,
( ( op(e2,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_365798,c_373586]) ).
tff(c_373588,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_373587]) ).
tff(c_373526,plain,
op(op(e0,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_373522,c_170]) ).
tff(c_373590,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_373588,c_373526]) ).
tff(c_373619,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_372330,c_373590,c_108]) ).
tff(c_373620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130110,c_373572,c_418,c_420,c_416,c_373619]) ).
tff(c_373621,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_373587]) ).
tff(c_373624,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_373621,c_372335]) ).
tff(c_373642,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_373624,c_364]) ).
tff(c_373020,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_373013,c_366]) ).
tff(c_373665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_373492,c_365880,c_365898,c_373642,c_373020,c_28]) ).
tff(c_373666,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_373549]) ).
tff(c_372961,plain,
op(e3,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_372960,c_160]) ).
tff(c_373669,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_373666,c_372961]) ).
tff(c_373678,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_373669]) ).
tff(c_373680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_373678]) ).
tff(c_373681,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_373521]) ).
tff(c_373689,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_373681,c_310]) ).
tff(c_373491,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_373033]) ).
tff(c_373505,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_373491]) ).
tff(c_373737,plain,
( ( e4 = e0 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_373505,c_94]) ).
tff(c_373738,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_373020,c_404,c_414,c_373737]) ).
tff(c_373739,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_373738]) ).
tff(c_373786,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_373739,c_365892,c_373505,c_98]) ).
tff(c_373787,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_365765,c_416,c_373786]) ).
tff(c_373707,plain,
( ( op(e4,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_372330,c_108]) ).
tff(c_373708,plain,
( ( op(e4,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_418,c_420,c_373707]) ).
tff(c_373709,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_373708]) ).
tff(c_373710,plain,
op(op(e2,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_373709,c_186]) ).
tff(c_373789,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_373787,c_373710]) ).
tff(c_373798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372340,c_373789]) ).
tff(c_373799,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_373738]) ).
tff(c_372336,plain,
op(e1,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_372330,c_174]) ).
tff(c_373803,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_373799,c_372336]) ).
tff(c_373812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_373689,c_373803]) ).
tff(c_373813,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_373708]) ).
tff(c_373509,plain,
op(op(e4,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_373505,c_172]) ).
tff(c_373815,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_373813,c_373509]) ).
tff(c_373825,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_373815]) ).
tff(c_373827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_373825]) ).
tff(c_373828,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_373491]) ).
tff(c_373830,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_373828,c_372335]) ).
tff(c_373841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372951,c_373830]) ).
tff(c_373842,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_372950]) ).
tff(c_374029,plain,
( ( op(e4,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_373842,c_365892,c_372330,c_92]) ).
tff(c_374030,plain,
op(e1,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_408,c_365781,c_374029]) ).
tff(c_374038,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_374030,c_266]) ).
tff(c_374371,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_365788,c_44]) ).
tff(c_374372,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_374371]) ).
tff(c_374510,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_374372,c_365783,c_72]) ).
tff(c_374511,plain,
op(e2,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_374038,c_402,c_365798,c_374510]) ).
tff(c_374378,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_374372,c_282]) ).
tff(c_373843,plain,
op(e0,e4) != e3,
inference(splitRight,[status(thm)],[c_372950]) ).
tff(c_373858,plain,
( ( e4 = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_56]) ).
tff(c_373859,plain,
( ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_373843,c_365789,c_402,c_373858]) ).
tff(c_373860,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_373859]) ).
tff(c_373870,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_373860,c_312]) ).
tff(c_373962,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_98]) ).
tff(c_373963,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_365765,c_373870,c_373962]) ).
tff(c_373964,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_373963]) ).
tff(c_373847,plain,
op(op(e2,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_373842,c_196]) ).
tff(c_373967,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_373964,c_373847]) ).
tff(c_373996,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_373967,c_365783]) ).
tff(c_373998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_373996]) ).
tff(c_373999,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_373963]) ).
tff(c_373893,plain,
( ( op(e4,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_373842,c_365892,c_372330,c_92]) ).
tff(c_373894,plain,
op(e1,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_404,c_408,c_365781,c_373893]) ).
tff(c_373896,plain,
op(op(e2,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_373894,c_186]) ).
tff(c_374002,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_373999,c_373896]) ).
tff(c_374012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372343,c_374002]) ).
tff(c_374013,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_373859]) ).
tff(c_374021,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_374013,c_248]) ).
tff(c_374414,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_374372,c_365783,c_72]) ).
tff(c_374415,plain,
op(e2,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_374038,c_402,c_365798,c_374414]) ).
tff(c_374398,plain,
( ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_374013,c_94]) ).
tff(c_374399,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_402,c_374398]) ).
tff(c_374400,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_374399]) ).
tff(c_374407,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_374400,c_256]) ).
tff(c_374429,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_374415,c_374407]) ).
tff(c_374430,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_374399]) ).
tff(c_374432,plain,
op(e2,e3) = e4,
inference(splitLeft,[status(thm)],[c_374430]) ).
tff(c_374440,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_374432,c_250]) ).
tff(c_374496,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_365880,c_365898,c_374021,c_374440,c_28]) ).
tff(c_374032,plain,
op(op(e2,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_374030,c_186]) ).
tff(c_374498,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_374496,c_374032]) ).
tff(c_374507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374378,c_374498]) ).
tff(c_374509,plain,
op(e2,e3) != e4,
inference(splitRight,[status(thm)],[c_374430]) ).
tff(c_374539,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_374511,c_374509]) ).
tff(c_374540,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_374371]) ).
tff(c_374546,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_374540]) ).
tff(c_374555,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_374546,c_290]) ).
tff(c_374565,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_372951,c_374555,c_48]) ).
tff(c_374572,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_374565,c_363963]) ).
tff(c_374596,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_374572,c_373842]) ).
tff(c_374598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_374596]) ).
tff(c_374599,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_374540]) ).
tff(c_374609,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_374599,c_290]) ).
tff(c_374792,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_374609,c_372951,c_48]) ).
tff(c_374798,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_374792,c_326252]) ).
tff(c_374816,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_374798,c_364]) ).
tff(c_374799,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_374792,c_363963]) ).
tff(c_373849,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_373842,c_354]) ).
tff(c_374262,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_372340,c_365786,c_20]) ).
tff(c_374263,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_374262]) ).
tff(c_374070,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_365767,c_10]) ).
tff(c_374071,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_374070]) ).
tff(c_374094,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_374013,c_110]) ).
tff(c_374095,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_418,c_416,c_374094]) ).
tff(c_374096,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_374095]) ).
tff(c_374035,plain,
op(e4,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_374030,c_178]) ).
tff(c_374098,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_374096,c_374035]) ).
tff(c_374107,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_374071,c_374098]) ).
tff(c_374109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_374107]) ).
tff(c_374110,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_374095]) ).
tff(c_374112,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_374110,c_372335]) ).
tff(c_374122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_372951,c_374112]) ).
tff(c_374123,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_374070]) ).
tff(c_374125,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_374123]) ).
tff(c_374133,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_374125,c_220]) ).
tff(c_374149,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_365788,c_44]) ).
tff(c_374150,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_374149]) ).
tff(c_374172,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_374150,c_365783,c_72]) ).
tff(c_374173,plain,
op(e2,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_374038,c_402,c_365798,c_374172]) ).
tff(c_374175,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_374173,c_372335]) ).
tff(c_374184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374133,c_374175]) ).
tff(c_374185,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_374149]) ).
tff(c_374187,plain,
op(e0,e3) = e4,
inference(splitLeft,[status(thm)],[c_374185]) ).
tff(c_374193,plain,
op(e4,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_374187,c_170]) ).
tff(c_374264,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_374263,c_374193]) ).
tff(c_374273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_373849,c_374264]) ).
tff(c_374274,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_374262]) ).
tff(c_374276,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_374274,c_374193]) ).
tff(c_374289,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_374276,c_365449]) ).
tff(c_374291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_374289]) ).
tff(c_374292,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_374185]) ).
tff(c_374303,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_374292,c_290]) ).
tff(c_374309,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_374303,c_372951,c_48]) ).
tff(c_374316,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_374309,c_363963]) ).
tff(c_374127,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_374125,c_160]) ).
tff(c_374340,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_374316,c_374127]) ).
tff(c_374348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374038,c_374340]) ).
tff(c_374349,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_374123]) ).
tff(c_374353,plain,
op(e2,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_374349,c_192]) ).
tff(c_374823,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_374799,c_374353]) ).
tff(c_374834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374816,c_374823]) ).
tff(c_374835,plain,
( ( op(e4,op(e4,e2)) != e2 )
| ( op(e4,op(e4,e1)) != e1 )
| ( op(e4,op(e4,e0)) != e0 )
| ( op(e3,op(e3,e4)) != e4 )
| ( op(e3,op(e3,e2)) != e2 )
| ( op(e3,op(e3,e1)) != e1 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e4)) != e4 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e4)) != e4 )
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(splitRight,[status(thm)],[c_365940]) ).
tff(c_374843,plain,
op(e0,op(e0,e2)) != e2,
inference(splitLeft,[status(thm)],[c_374835]) ).
tff(c_375466,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_375454,c_374843]) ).
tff(c_375477,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_375448,c_375466]) ).
tff(c_375478,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_375447]) ).
tff(c_375486,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375478,c_363963]) ).
tff(c_375394,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_374845]) ).
tff(c_375396,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_375394]) ).
tff(c_375510,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375486,c_375396]) ).
tff(c_375512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_375510]) ).
tff(c_375513,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_375394]) ).
tff(c_375569,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375545,c_375513]) ).
tff(c_375571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_375569]) ).
tff(c_375572,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_375538]) ).
tff(c_375578,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_375572,c_326252]) ).
tff(c_375597,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_375578,c_364]) ).
tff(c_375598,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_375578,c_362]) ).
tff(c_375645,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_365767,c_10]) ).
tff(c_375646,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_375645]) ).
tff(c_375579,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_375572,c_363963]) ).
tff(c_375605,plain,
op(e1,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_375579,c_160]) ).
tff(c_375647,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_375646,c_375605]) ).
tff(c_375656,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_375647]) ).
tff(c_375658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_375656]) ).
tff(c_375659,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_375645]) ).
tff(c_375661,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_375659]) ).
tff(c_375606,plain,
op(op(e4,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_375579,c_192]) ).
tff(c_375664,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_375661,c_375606]) ).
tff(c_375673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_375598,c_375664]) ).
tff(c_375674,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_375659]) ).
tff(c_375678,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_375674,c_375606]) ).
tff(c_375687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_375597,c_375678]) ).
tff(c_375689,plain,
op(e0,op(e0,e2)) = e2,
inference(splitRight,[status(thm)],[c_374835]) ).
tff(c_376874,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_376872,c_375689]) ).
tff(c_376892,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_376874,c_326252]) ).
tff(c_376912,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_376892,c_366]) ).
tff(c_376911,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_376892,c_364]) ).
tff(c_365894,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_258]) ).
tff(c_376992,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_365894,c_30]) ).
tff(c_376993,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_376992]) ).
tff(c_376875,plain,
op(e1,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_376872,c_180]) ).
tff(c_376994,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_376993,c_376875]) ).
tff(c_377002,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_376994]) ).
tff(c_377004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_377002]) ).
tff(c_377005,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_376992]) ).
tff(c_377007,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_377005]) ).
tff(c_376877,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_376872,c_196]) ).
tff(c_377010,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377007,c_376877]) ).
tff(c_377018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_376911,c_377010]) ).
tff(c_377019,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_377005]) ).
tff(c_377023,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377019,c_376877]) ).
tff(c_377031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_376912,c_377023]) ).
tff(c_377033,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_376871]) ).
tff(c_376724,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_375695]) ).
tff(c_377176,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_376724,c_48]) ).
tff(c_377177,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_377176]) ).
tff(c_377183,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_377177,c_363963]) ).
tff(c_377190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377033,c_377183]) ).
tff(c_377191,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_377176]) ).
tff(c_377197,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377191,c_326252]) ).
tff(c_377204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377157,c_377197]) ).
tff(c_377206,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_377148]) ).
tff(c_376753,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_140]) ).
tff(c_376754,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_365894,c_376753]) ).
tff(c_376755,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_376754]) ).
tff(c_376762,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_376755,c_388]) ).
tff(c_376778,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_376762,c_365767,c_10]) ).
tff(c_376779,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_376778]) ).
tff(c_376789,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_376779,c_382]) ).
tff(c_376764,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_376755,c_390]) ).
tff(c_376727,plain,
op(e3,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_376726,c_160]) ).
tff(c_376781,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_376779,c_376727]) ).
tff(c_376800,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_376781,c_240]) ).
tff(c_376851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252828,c_376789,c_376764,c_365786,c_376800,c_20]) ).
tff(c_376852,plain,
op(e4,e0) = e3,
inference(splitRight,[status(thm)],[c_376778]) ).
tff(c_376856,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_376852,c_376727]) ).
tff(c_376865,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_376856]) ).
tff(c_376867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_376865]) ).
tff(c_376868,plain,
( ( op(e3,e0) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_376754]) ).
tff(c_377055,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_376868]) ).
tff(c_377056,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_377055,c_376727]) ).
tff(c_377091,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_377056,c_356]) ).
tff(c_377032,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_376871]) ).
tff(c_377113,plain,
( ( e4 = e3 )
| ( e4 = e1 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_377032,c_376726,c_134]) ).
tff(c_377114,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_377091,c_408,c_402,c_377113]) ).
tff(c_377118,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_377114,c_363963]) ).
tff(c_377128,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_377118,c_376726]) ).
tff(c_377130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_377128]) ).
tff(c_377131,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_376868]) ).
tff(c_377034,plain,
op(op(e3,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377032,c_194]) ).
tff(c_377134,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377131,c_377034]) ).
tff(c_377221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377206,c_377134]) ).
tff(c_377222,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_376723]) ).
tff(c_377224,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_377222,c_375689]) ).
tff(c_377244,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_377224,c_282]) ).
tff(c_377256,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_377222,c_365892,c_108]) ).
tff(c_377257,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_418,c_377256]) ).
tff(c_377258,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_377257]) ).
tff(c_377266,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_377258,c_348]) ).
tff(c_377289,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_74]) ).
tff(c_377290,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_365451,c_377289]) ).
tff(c_377291,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_377290]) ).
tff(c_377239,plain,
op(op(e3,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377224,c_194]) ).
tff(c_377292,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377291,c_377239]) ).
tff(c_377303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377266,c_377292]) ).
tff(c_377304,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_377290]) ).
tff(c_377310,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_377304]) ).
tff(c_377318,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_377310,c_232]) ).
tff(c_377334,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_112]) ).
tff(c_377335,plain,
( ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_377318,c_365447,c_377334]) ).
tff(c_377336,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_377335]) ).
tff(c_377342,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377336,c_326252]) ).
tff(c_377359,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_377342,c_364]) ).
tff(c_377345,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_377336,c_378]) ).
tff(c_377434,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_377359,c_365880,c_365898,c_377345,c_28]) ).
tff(c_377260,plain,
op(op(e2,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_377258,c_186]) ).
tff(c_377438,plain,
op(e3,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_377434,c_377260]) ).
tff(c_377379,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_377258,c_118]) ).
tff(c_377380,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_365652,c_377379]) ).
tff(c_377381,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_377380]) ).
tff(c_377339,plain,
op(e4,op(e1,e0)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_377336,c_190]) ).
tff(c_377407,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_377381,c_377339]) ).
tff(c_374836,plain,
op(e4,op(e4,e3)) = e3,
inference(splitRight,[status(thm)],[c_365940]) ).
tff(c_377410,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_377407,c_374836]) ).
tff(c_377418,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377342,c_377410]) ).
tff(c_377420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_377418]) ).
tff(c_377421,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_377380]) ).
tff(c_377355,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_377342,c_158]) ).
tff(c_377492,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_377438,c_377421,c_377355]) ).
tff(c_377493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_377492]) ).
tff(c_377494,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_377335]) ).
tff(c_377263,plain,
op(e0,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_377258,c_178]) ).
tff(c_377496,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_377494,c_377263]) ).
tff(c_377507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377244,c_377496]) ).
tff(c_377509,plain,
op(e3,e2) != e4,
inference(splitRight,[status(thm)],[c_377304]) ).
tff(c_377920,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_365767,c_10]) ).
tff(c_377921,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_377920]) ).
tff(c_377837,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_377222,c_377258,c_365892,c_104]) ).
tff(c_377838,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_420,c_412,c_377837]) ).
tff(c_377839,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_377838]) ).
tff(c_377848,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_377839,c_224]) ).
tff(c_377267,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_377258,c_266]) ).
tff(c_377247,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_377224,c_340]) ).
tff(c_377524,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_377258,c_118]) ).
tff(c_377525,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_365652,c_377524]) ).
tff(c_377526,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_377525]) ).
tff(c_377532,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_377526,c_388]) ).
tff(c_377508,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_377304]) ).
tff(c_377515,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_377508,c_366]) ).
tff(c_377746,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( e4 = e2 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_94]) ).
tff(c_377747,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_377515,c_404,c_365450,c_377746]) ).
tff(c_377748,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_377747]) ).
tff(c_377227,plain,
op(op(e2,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377222,c_196]) ).
tff(c_377750,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377748,c_377227]) ).
tff(c_377765,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_377750,c_374836]) ).
tff(c_377776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377532,c_377765]) ).
tff(c_377777,plain,
op(e2,e3) = e4,
inference(splitRight,[status(thm)],[c_377747]) ).
tff(c_377787,plain,
op(e1,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_377777,c_332]) ).
tff(c_377804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377267,c_255416,c_377247,c_365652,c_377787,c_34]) ).
tff(c_377805,plain,
op(e1,e4) = e3,
inference(splitRight,[status(thm)],[c_377525]) ).
tff(c_377863,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( e3 = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_377805,c_365449,c_64]) ).
tff(c_377864,plain,
( ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_377848,c_408,c_377863]) ).
tff(c_377865,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_377864]) ).
tff(c_377868,plain,
op(e1,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_377865,c_160]) ).
tff(c_377922,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_377921,c_377868]) ).
tff(c_377932,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_377922]) ).
tff(c_377934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_377932]) ).
tff(c_377935,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_377920]) ).
tff(c_377945,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_377935]) ).
tff(c_377869,plain,
op(op(e4,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377865,c_192]) ).
tff(c_377948,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377945,c_377869]) ).
tff(c_377963,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377948,c_377508]) ).
tff(c_377965,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_377963]) ).
tff(c_377966,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_377935]) ).
tff(c_377969,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_377966,c_377868]) ).
tff(c_377979,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_377258,c_377969]) ).
tff(c_377981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_377979]) ).
tff(c_377982,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_377864]) ).
tff(c_377990,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_377982,c_242]) ).
tff(c_377246,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_377224,c_290]) ).
tff(c_378061,plain,
( ( op(e4,e1) = e2 )
| ( e4 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_377508,c_120]) ).
tff(c_378062,plain,
op(e4,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_377246,c_412,c_365898,c_404,c_378061]) ).
tff(c_377809,plain,
op(op(e4,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_377805,c_182]) ).
tff(c_378064,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_378062,c_377809]) ).
tff(c_378072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_377990,c_378064]) ).
tff(c_378073,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_377838]) ).
tff(c_378259,plain,
( ( e4 = e1 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e0 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_377222,c_377258,c_365892,c_378073,c_92]) ).
tff(c_378260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_414,c_404,c_377509,c_408,c_378259]) ).
tff(c_378261,plain,
( ( op(e3,e2) = e0 )
| ( op(e4,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_377257]) ).
tff(c_378275,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_378261]) ).
tff(c_378281,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_378275,c_212]) ).
tff(c_378461,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_377222,c_377224,c_134]) ).
tff(c_378462,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_404,c_365453,c_378461]) ).
tff(c_378468,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_378462,c_326252]) ).
tff(c_378475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_378281,c_378468]) ).
tff(c_378477,plain,
op(e4,e2) != e0,
inference(splitRight,[status(thm)],[c_378261]) ).
tff(c_378262,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_377257]) ).
tff(c_378629,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_365786,c_20]) ).
tff(c_378630,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_378629]) ).
tff(c_378631,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_378630,c_377239]) ).
tff(c_378641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_378262,c_378631]) ).
tff(c_378642,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_378629]) ).
tff(c_378652,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_378642]) ).
tff(c_378654,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_378652,c_377239]) ).
tff(c_378664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_378477,c_378654]) ).
tff(c_378665,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_378642]) ).
tff(c_377240,plain,
op(e2,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_377224,c_170]) ).
tff(c_378670,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_378665,c_377240]) ).
tff(c_378678,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_378670]) ).
tff(c_378680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_378678]) ).
tff(c_378682,plain,
op(op(e4,e3),e3) = e4,
inference(splitRight,[status(thm)],[c_365911]) ).
tff(c_378993,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_378988,c_378682]) ).
tff(c_379001,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_378993]) ).
tff(c_379003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_379001]) ).
tff(c_379004,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_378800]) ).
tff(c_379007,plain,
op(e2,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_379004,c_184]) ).
tff(c_379030,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_379028,c_379007]) ).
tff(c_379062,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_379030,c_318]) ).
tff(c_379095,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e2 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_134]) ).
tff(c_379096,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_365453,c_379095]) ).
tff(c_379097,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_379096]) ).
tff(c_379103,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_379097,c_363963]) ).
tff(c_379111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_379062,c_379103]) ).
tff(c_379112,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_379096]) ).
tff(c_379115,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_379112,c_378805]) ).
tff(c_379128,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_379115,c_365449]) ).
tff(c_379130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_379128]) ).
tff(c_379131,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_378825]) ).
tff(c_379204,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_379131]) ).
tff(c_379148,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_379149,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_414,c_379148]) ).
tff(c_379150,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_379149]) ).
tff(c_379152,plain,
op(e0,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_379150,c_182]) ).
tff(c_379205,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_379204,c_379152]) ).
tff(c_379215,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_379205]) ).
tff(c_379217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_379215]) ).
tff(c_379218,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_379131]) ).
tff(c_379279,plain,
( ( op(e1,e4) = e4 )
| ( e4 = e0 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_378746,c_365874,c_379218,c_114]) ).
tff(c_379280,plain,
op(e1,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_402,c_408,c_414,c_365452,c_379279]) ).
tff(c_379157,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_379150,c_364]) ).
tff(c_378809,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_378771,c_260]) ).
tff(c_379177,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_379157,c_365880,c_365898,c_378809,c_28]) ).
tff(c_379183,plain,
op(op(e1,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_379177,c_178]) ).
tff(c_379282,plain,
op(e4,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_379280,c_379183]) ).
tff(c_379292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_378723,c_379282]) ).
tff(c_379293,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_379149]) ).
tff(c_379510,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_379293]) ).
tff(c_379515,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_379510,c_378682]) ).
tff(c_379523,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_379515]) ).
tff(c_379525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_379523]) ).
tff(c_379527,plain,
op(e4,e3) != e0,
inference(splitRight,[status(thm)],[c_379293]) ).
tff(c_379322,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_379293]) ).
tff(c_379327,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_379322,c_378682]) ).
tff(c_379336,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_379327]) ).
tff(c_379338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_379336]) ).
tff(c_379340,plain,
op(e4,e3) != e0,
inference(splitRight,[status(thm)],[c_379293]) ).
tff(c_379294,plain,
op(e4,e1) != e0,
inference(splitRight,[status(thm)],[c_379149]) ).
tff(c_378806,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_378771,c_386]) ).
tff(c_379133,plain,
op(e3,e4) = e2,
inference(splitLeft,[status(thm)],[c_378800]) ).
tff(c_379424,plain,
( ( e4 = e2 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_379133,c_74]) ).
tff(c_379425,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_378806,c_402,c_404,c_379424]) ).
tff(c_379426,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_379425]) ).
tff(c_379303,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_379131]) ).
tff(c_379312,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_379303,c_262]) ).
tff(c_379369,plain,
op(e1,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_379312,c_255416,c_378729,c_365652,c_34]) ).
tff(c_379373,plain,
op(e4,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_379369,c_168]) ).
tff(c_379428,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_379426,c_379373]) ).
tff(c_379440,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_379428,c_365449]) ).
tff(c_379442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_379440]) ).
tff(c_379443,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_379425]) ).
tff(c_379452,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_379443,c_356]) ).
tff(c_379468,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_365895,c_379452,c_46]) ).
tff(c_379469,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_379468]) ).
tff(c_379471,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_379469,c_378805]) ).
tff(c_379480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_379294,c_379471]) ).
tff(c_379481,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_379468]) ).
tff(c_379485,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_379481,c_378805]) ).
tff(c_379494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_379340,c_379485]) ).
tff(c_379496,plain,
op(e1,e4) != e0,
inference(splitRight,[status(thm)],[c_379131]) ).
tff(c_379584,plain,
( ( op(e0,e4) = e3 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_138]) ).
tff(c_379585,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_406,c_379584]) ).
tff(c_379586,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_379585]) ).
tff(c_379592,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_379586,c_363963]) ).
tff(c_379602,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_379592,c_378719]) ).
tff(c_379604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_379602]) ).
tff(c_379605,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_379585]) ).
tff(c_379607,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_379605]) ).
tff(c_379633,plain,
( ( e4 = e0 )
| ( e2 = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_379607,c_379133,c_365449,c_68]) ).
tff(c_379634,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_416,c_379496,c_418,c_414,c_379633]) ).
tff(c_379526,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_379293]) ).
tff(c_379528,plain,
op(op(e2,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_379526,c_156]) ).
tff(c_379636,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_379634,c_379528]) ).
tff(c_379643,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_379636]) ).
tff(c_379645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_379643]) ).
tff(c_379646,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_379605]) ).
tff(c_379648,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_379646,c_378805]) ).
tff(c_379658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_379527,c_379648]) ).
tff(c_379660,plain,
op(e3,e4) != e2,
inference(splitRight,[status(thm)],[c_378800]) ).
tff(c_379683,plain,
op(e1,e4) = e0,
inference(splitLeft,[status(thm)],[c_379131]) ).
tff(c_379692,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_379683,c_310]) ).
tff(c_379845,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e2 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_134]) ).
tff(c_379846,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_365453,c_379845]) ).
tff(c_379847,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_379846]) ).
tff(c_378749,plain,
op(e3,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_378746,c_198]) ).
tff(c_379849,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_379847,c_378749]) ).
tff(c_379860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_379692,c_379849]) ).
tff(c_379861,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_379846]) ).
tff(c_379863,plain,
op(e4,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_379861,c_378805]) ).
tff(c_379877,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_379863,c_365449]) ).
tff(c_379879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_379877]) ).
tff(c_379880,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_379131]) ).
tff(c_379659,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_378800]) ).
tff(c_379663,plain,
op(op(e1,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_379659,c_168]) ).
tff(c_379882,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_379880,c_379663]) ).
tff(c_379896,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_379882,c_378803]) ).
tff(c_379906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_379660,c_379896]) ).
tff(c_379907,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_378770]) ).
tff(c_378720,plain,
op(op(e3,e0),e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_194]) ).
tff(c_379909,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_379907,c_378720]) ).
tff(c_380169,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_379909,c_342]) ).
tff(c_379954,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_379909,c_212]) ).
tff(c_379979,plain,
( ( op(e0,e4) = e1 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_146]) ).
tff(c_379980,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_412,c_379979]) ).
tff(c_379981,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_379980]) ).
tff(c_379958,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_379909,c_348]) ).
tff(c_378726,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_282]) ).
tff(c_379910,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_379907,c_378721]) ).
tff(c_379989,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_379981,c_284]) ).
tff(c_380003,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_379910,c_365449,c_64]) ).
tff(c_380004,plain,
op(e3,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_379989,c_365876,c_410,c_408,c_380003]) ).
tff(c_380027,plain,
( ( e4 = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_379910,c_380004,c_365449,c_60]) ).
tff(c_380028,plain,
op(e1,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_378726,c_406,c_412,c_404,c_380027]) ).
tff(c_380079,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_378746,c_365874,c_380028,c_130]) ).
tff(c_380080,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_416,c_420,c_379958,c_418,c_380079]) ).
tff(c_379922,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_379907,c_365783,c_82]) ).
tff(c_379923,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_365899,c_406,c_379922]) ).
tff(c_379924,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_379923]) ).
tff(c_379927,plain,
op(op(e1,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_379924,c_168]) ).
tff(c_380083,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_380080,c_379927]) ).
tff(c_380089,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_379981,c_380083]) ).
tff(c_380091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_380089]) ).
tff(c_380092,plain,
op(e0,e4) = e1,
inference(splitRight,[status(thm)],[c_379980]) ).
tff(c_380116,plain,
( ( e4 = e1 )
| ( e4 = e2 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_380092,c_134]) ).
tff(c_380117,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_408,c_380116]) ).
tff(c_380118,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_380117]) ).
tff(c_380123,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_380118,c_326252]) ).
tff(c_380130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_379954,c_380123]) ).
tff(c_380131,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_380117]) ).
tff(c_378681,plain,
( ( op(op(e4,e2),e2) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e2),e2) != e0 ) ),
inference(splitRight,[status(thm)],[c_365911]) ).
tff(c_378716,plain,
op(op(e0,e2),e2) != e0,
inference(splitLeft,[status(thm)],[c_378681]) ).
tff(c_380136,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_380131,c_378716]) ).
tff(c_380146,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379909,c_380136]) ).
tff(c_380147,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_379923]) ).
tff(c_380427,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_379907,c_365783,c_380147,c_90]) ).
tff(c_380428,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_414,c_380169,c_416,c_418,c_380427]) ).
tff(c_378754,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_378746,c_392]) ).
tff(c_379911,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_379907,c_386]) ).
tff(c_380447,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_164529,c_365894,c_378754,c_379911,c_30]) ).
tff(c_380164,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_379909,c_212]) ).
tff(c_380201,plain,
( ( op(e0,e4) = e1 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_146]) ).
tff(c_380202,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_412,c_380201]) ).
tff(c_380203,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_380202]) ).
tff(c_380225,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e2 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_380203,c_378719,c_134]) ).
tff(c_380226,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_404,c_365453,c_380225]) ).
tff(c_380231,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_380226,c_326252]) ).
tff(c_380239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380164,c_380231]) ).
tff(c_380240,plain,
op(e0,e4) = e1,
inference(splitRight,[status(thm)],[c_380202]) ).
tff(c_380267,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_380240,c_138]) ).
tff(c_380268,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_406,c_410,c_380267]) ).
tff(c_380269,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_380268]) ).
tff(c_380275,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_380269,c_363963]) ).
tff(c_380298,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_380275,c_378719]) ).
tff(c_380300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_380298]) ).
tff(c_380301,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_380268]) ).
tff(c_380305,plain,
op(e3,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_380301,c_180]) ).
tff(c_380449,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_380447,c_380305]) ).
tff(c_380456,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_380428,c_380449]) ).
tff(c_380458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_380456]) ).
tff(c_380459,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_378745]) ).
tff(c_380461,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_380459]) ).
tff(c_380471,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_380461,c_312]) ).
tff(c_380861,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_132]) ).
tff(c_380862,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_365767,c_380861]) ).
tff(c_380863,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_380862]) ).
tff(c_380484,plain,
( ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_144]) ).
tff(c_380485,plain,
( ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365878,c_380484]) ).
tff(c_380486,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_380485]) ).
tff(c_380487,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_132]) ).
tff(c_380488,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_365767,c_380487]) ).
tff(c_380489,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_380488]) ).
tff(c_380511,plain,
op(e3,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_380489,c_390]) ).
tff(c_380711,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_380712,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_414,c_380711]) ).
tff(c_380713,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_380712]) ).
tff(c_380464,plain,
op(e3,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_380461,c_158]) ).
tff(c_380715,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_380713,c_380464]) ).
tff(c_380725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380511,c_380715]) ).
tff(c_380727,plain,
op(e4,e1) != e0,
inference(splitRight,[status(thm)],[c_380712]) ).
tff(c_380554,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_380555,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_414,c_380554]) ).
tff(c_380556,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_380555]) ).
tff(c_380558,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_380556,c_380464]) ).
tff(c_380567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380511,c_380558]) ).
tff(c_380568,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_380555]) ).
tff(c_380574,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_380568]) ).
tff(c_380577,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_380574,c_378682]) ).
tff(c_380587,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_380577]) ).
tff(c_380589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_380587]) ).
tff(c_380591,plain,
op(e4,e3) != e0,
inference(splitRight,[status(thm)],[c_380568]) ).
tff(c_380465,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_380461,c_320]) ).
tff(c_380653,plain,
( ( op(e0,e4) = e3 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_138]) ).
tff(c_380654,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_406,c_380465,c_380653]) ).
tff(c_380655,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_380654]) ).
tff(c_380507,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_380489,c_198]) ).
tff(c_380658,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_380655,c_380507]) ).
tff(c_380671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380591,c_380658]) ).
tff(c_380672,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_380654]) ).
tff(c_380490,plain,
op(op(e0,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_380486,c_180]) ).
tff(c_380675,plain,
op(e3,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_380672,c_380490]) ).
tff(c_380517,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_74]) ).
tff(c_380518,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_380511,c_402,c_365451,c_380517]) ).
tff(c_380519,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_380518]) ).
tff(c_380688,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_380675,c_380519]) ).
tff(c_380690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_380688]) ).
tff(c_380691,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_380518]) ).
tff(c_380697,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_380691,c_356]) ).
tff(c_380805,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e2 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_134]) ).
tff(c_380806,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_380697,c_404,c_365453,c_380805]) ).
tff(c_380811,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_380806,c_326252]) ).
tff(c_380820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380727,c_380811]) ).
tff(c_380821,plain,
( ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_380488]) ).
tff(c_380845,plain,
( ( e4 = e1 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380486,c_380821]) ).
tff(c_380846,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_380845]) ).
tff(c_380849,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_380846,c_378721]) ).
tff(c_380858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380471,c_380849]) ).
tff(c_380859,plain,
( ( op(e3,e0) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_380485]) ).
tff(c_380886,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_380859]) ).
tff(c_381028,plain,
( ( e2 = e1 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e4 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_380863,c_380886,c_140]) ).
tff(c_381029,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_365894,c_412,c_381028]) ).
tff(c_381033,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_381029,c_378721]) ).
tff(c_381037,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_381033]) ).
tff(c_381039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_381037]) ).
tff(c_381040,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_380859]) ).
tff(c_381043,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_381040,c_378720]) ).
tff(c_381064,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_381043,c_348]) ).
tff(c_381137,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_381138,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_381064,c_414,c_381137]) ).
tff(c_381139,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_381138]) ).
tff(c_381143,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_381139,c_380464]) ).
tff(c_381150,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_381040,c_381143]) ).
tff(c_381152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_381150]) ).
tff(c_381153,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_381138]) ).
tff(c_381157,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_381153,c_378682]) ).
tff(c_381167,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_378719,c_381157]) ).
tff(c_381169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_381167]) ).
tff(c_381170,plain,
( ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_380862]) ).
tff(c_381220,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_381170]) ).
tff(c_381224,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_381220,c_378721]) ).
tff(c_381232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380471,c_381224]) ).
tff(c_381234,plain,
op(e3,e0) != e4,
inference(splitRight,[status(thm)],[c_381170]) ).
tff(c_381253,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e2 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_378719,c_134]) ).
tff(c_381254,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_404,c_365453,c_381253]) ).
tff(c_381255,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_381254]) ).
tff(c_381260,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_381255,c_326252]) ).
tff(c_381273,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_381260,c_380464]) ).
tff(c_381281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381234,c_381273]) ).
tff(c_381282,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_381254]) ).
tff(c_381233,plain,
op(e2,e0) = e4,
inference(splitRight,[status(thm)],[c_381170]) ).
tff(c_381236,plain,
op(op(e0,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_381233,c_180]) ).
tff(c_381284,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_381282,c_381236]) ).
tff(c_381314,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_381284,c_365449]) ).
tff(c_381316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_381314]) ).
tff(c_381317,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_380459]) ).
tff(c_381325,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_381317,c_360]) ).
tff(c_381745,plain,
op(e0,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_130110,c_381737,c_365895,c_381325,c_46]) ).
tff(c_381709,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_381700,c_292]) ).
tff(c_381760,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_381745,c_381709]) ).
tff(c_381761,plain,
( ( op(e1,e3) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_378718]) ).
tff(c_381763,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_381761]) ).
tff(c_381765,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_381763,c_378682]) ).
tff(c_381787,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_381765,c_338]) ).
tff(c_381821,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_134]) ).
tff(c_381822,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_381787,c_365453,c_381821]) ).
tff(c_381823,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_381822]) ).
tff(c_381829,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_381823,c_292]) ).
tff(c_381828,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_381823,c_363963]) ).
tff(c_381827,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_381823,c_326252]) ).
tff(c_381860,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_381827,c_362]) ).
tff(c_381952,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_90]) ).
tff(c_381953,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_381860,c_416,c_381952]) ).
tff(c_381954,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_381953]) ).
tff(c_381782,plain,
op(op(e3,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_381765,c_174]) ).
tff(c_381956,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_381954,c_381782]) ).
tff(c_381964,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_381828,c_381956]) ).
tff(c_381966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_381964]) ).
tff(c_381967,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_381953]) ).
tff(c_381766,plain,
op(op(e3,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_381763,c_154]) ).
tff(c_381970,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_381967,c_381766]) ).
tff(c_381980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381829,c_381970]) ).
tff(c_381981,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_381822]) ).
tff(c_381983,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_381981,c_378716]) ).
tff(c_381988,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_381981,c_360]) ).
tff(c_381793,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e4 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_381765,c_365783,c_381763,c_88]) ).
tff(c_381794,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_252838,c_414,c_416,c_418,c_381793]) ).
tff(c_382206,plain,
( ( op(e1,e4) = e4 )
| ( e4 = e0 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_381794,c_114]) ).
tff(c_382207,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_381988,c_414,c_365452,c_382206]) ).
tff(c_382002,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_86]) ).
tff(c_382003,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_410,c_382002]) ).
tff(c_382004,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_382003]) ).
tff(c_382115,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( e4 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_381981,c_146]) ).
tff(c_382116,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_408,c_382115]) ).
tff(c_382117,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_382116]) ).
tff(c_382006,plain,
op(op(e0,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_382004,c_170]) ).
tff(c_382118,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_382117,c_382006]) ).
tff(c_382126,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_382118]) ).
tff(c_382128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_382126]) ).
tff(c_382129,plain,
op(e0,e4) = e1,
inference(splitRight,[status(thm)],[c_382116]) ).
tff(c_382035,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382004,c_365783,c_90]) ).
tff(c_382036,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_382035]) ).
tff(c_382037,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_382036]) ).
tff(c_381797,plain,
op(e0,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_381794,c_168]) ).
tff(c_382038,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_382037,c_381797]) ).
tff(c_382046,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_382038]) ).
tff(c_382048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_382046]) ).
tff(c_382049,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_382036]) ).
tff(c_382059,plain,
op(e3,e4) = e0,
inference(splitLeft,[status(thm)],[c_382049]) ).
tff(c_382131,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( e4 = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_381981,c_138]) ).
tff(c_382132,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_365788,c_382131]) ).
tff(c_382133,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_382132]) ).
tff(c_382091,plain,
( ( op(e1,e4) = e4 )
| ( e4 = e0 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_381794,c_114]) ).
tff(c_382092,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_381988,c_414,c_365452,c_382091]) ).
tff(c_382093,plain,
op(op(e0,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_382092,c_190]) ).
tff(c_382135,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_382133,c_382093]) ).
tff(c_382146,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_382059,c_382135]) ).
tff(c_382148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_382146]) ).
tff(c_382149,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_382132]) ).
tff(c_382163,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_382129,c_382149]) ).
tff(c_382164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_382163]) ).
tff(c_382165,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_382049]) ).
tff(c_381781,plain,
op(e4,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_381765,c_166]) ).
tff(c_382169,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_382165,c_381781]) ).
tff(c_382229,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e4 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_382207,c_382004,c_382169,c_140]) ).
tff(c_382230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_404,c_365894,c_412,c_406,c_382229]) ).
tff(c_382231,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_382003]) ).
tff(c_382249,plain,
op(e3,e4) = e1,
inference(splitLeft,[status(thm)],[c_382231]) ).
tff(c_382250,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_382249,c_381766]) ).
tff(c_382261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381988,c_382250]) ).
tff(c_382262,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_382231]) ).
tff(c_382265,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_382262,c_381781]) ).
tff(c_382315,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_382265,c_374]) ).
tff(c_381982,plain,
op(e0,e1) != e4,
inference(splitRight,[status(thm)],[c_381822]) ).
tff(c_382460,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_382315,c_381982,c_48]) ).
tff(c_382278,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382262,c_365783,c_90]) ).
tff(c_382279,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252828,c_420,c_416,c_382278]) ).
tff(c_382280,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_382279]) ).
tff(c_381796,plain,
op(op(e3,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_381794,c_184]) ).
tff(c_382281,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_382280,c_381796]) ).
tff(c_382290,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_382281]) ).
tff(c_382292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_382290]) ).
tff(c_382293,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_382279]) ).
tff(c_381767,plain,
op(e2,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_381763,c_162]) ).
tff(c_382323,plain,
op(e2,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_382293,c_381767]) ).
tff(c_382358,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( e4 = e3 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_382323,c_132]) ).
tff(c_382359,plain,
( ( op(e3,e0) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_402,c_365767,c_382358]) ).
tff(c_382360,plain,
op(e1,e0) = e4,
inference(splitLeft,[status(thm)],[c_382359]) ).
tff(c_382365,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_382360,c_198]) ).
tff(c_382462,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_382460,c_382365]) ).
tff(c_382472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381983,c_382462]) ).
tff(c_382473,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_382359]) ).
tff(c_382495,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382473,c_382262,c_365783,c_382293,c_82]) ).
tff(c_382496,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_404,c_412,c_406,c_418,c_382495]) ).
tff(c_382499,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_382496,c_381796]) ).
tff(c_382509,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_382499,c_382323]) ).
tff(c_382511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_382509]) ).
tff(c_382512,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_381761]) ).
tff(c_384477,plain,
( ( op(e1,e4) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_382512,c_130]) ).
tff(c_384478,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_418,c_384477]) ).
tff(c_384479,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_384478]) ).
tff(c_384485,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_384479,c_350]) ).
tff(c_382519,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_382512,c_276]) ).
tff(c_382536,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382512,c_365783,c_88]) ).
tff(c_382537,plain,
( ( op(e4,e3) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_418,c_416,c_382536]) ).
tff(c_382538,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_382537]) ).
tff(c_382548,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_382538,c_250]) ).
tff(c_382562,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_382563,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_382562]) ).
tff(c_382564,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_382563]) ).
tff(c_383309,plain,
( ( op(e4,e3) = e4 )
| ( e4 = e3 )
| ( e4 = e0 )
| ( e4 = e2 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382512,c_382538,c_365783,c_72]) ).
tff(c_383310,plain,
op(e0,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_404,c_414,c_402,c_365798,c_383309]) ).
tff(c_382933,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382564,c_365892,c_92]) ).
tff(c_382934,plain,
( ( op(e3,e2) = e4 )
| ( op(e1,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_365781,c_382933]) ).
tff(c_382935,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_382934]) ).
tff(c_382942,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_382935,c_350]) ).
tff(c_382572,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_382564,c_286]) ).
tff(c_383047,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_382564,c_138]) ).
tff(c_383048,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_410,c_365788,c_383047]) ).
tff(c_383049,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_383048]) ).
tff(c_383054,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383049,c_363963]) ).
tff(c_383062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382572,c_383054]) ).
tff(c_383063,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_383048]) ).
tff(c_382518,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_382512,c_262]) ).
tff(c_382748,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382564,c_365892,c_92]) ).
tff(c_382749,plain,
( ( op(e3,e2) = e4 )
| ( op(e1,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_365781,c_382748]) ).
tff(c_382750,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_382749]) ).
tff(c_382759,plain,
op(e1,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_382750,c_278]) ).
tff(c_382565,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_382564,c_378716]) ).
tff(c_381762,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_378718]) ).
tff(c_382702,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_382564,c_142]) ).
tff(c_382703,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_412,c_381762,c_382702]) ).
tff(c_382704,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_382703]) ).
tff(c_382708,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_382704,c_326252]) ).
tff(c_382716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382548,c_382708]) ).
tff(c_382717,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_382703]) ).
tff(c_382588,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_365767,c_10]) ).
tff(c_382589,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_382588]) ).
tff(c_382591,plain,
op(e1,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_382589,c_192]) ).
tff(c_382720,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_382717,c_382591]) ).
tff(c_382729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382565,c_382720]) ).
tff(c_382730,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_382588]) ).
tff(c_382732,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_382730]) ).
tff(c_382838,plain,
( ( e4 = e3 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_382732,c_132]) ).
tff(c_382839,plain,
( ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_382759,c_402,c_382838]) ).
tff(c_382840,plain,
op(e2,e0) = e4,
inference(splitLeft,[status(thm)],[c_382839]) ).
tff(c_382566,plain,
op(e1,op(e2,e0)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_382564,c_180]) ).
tff(c_382843,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_382840,c_382566]) ).
tff(c_382852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382518,c_382843]) ).
tff(c_382853,plain,
op(e3,e0) = e4,
inference(splitRight,[status(thm)],[c_382839]) ).
tff(c_382574,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_382564,c_284]) ).
tff(c_382807,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_382564,c_134]) ).
tff(c_382808,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_365453,c_382807]) ).
tff(c_382809,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_382808]) ).
tff(c_382814,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_382809,c_363963]) ).
tff(c_382822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382574,c_382814]) ).
tff(c_382823,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_382808]) ).
tff(c_382827,plain,
op(op(e3,e0),e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_382823,c_194]) ).
tff(c_382866,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_382853,c_382827]) ).
tff(c_382867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_382866]) ).
tff(c_382868,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_382749]) ).
tff(c_382543,plain,
op(op(e3,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_382538,c_174]) ).
tff(c_382871,plain,
op(e4,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_382868,c_382543]) ).
tff(c_382912,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_382871,c_382732]) ).
tff(c_382914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_382912]) ).
tff(c_382915,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_382730]) ).
tff(c_382918,plain,
op(op(e0,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_382915,c_160]) ).
tff(c_383066,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_383063,c_382918]) ).
tff(c_383076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382942,c_383066]) ).
tff(c_383077,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_382934]) ).
tff(c_382542,plain,
op(e0,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_382538,c_166]) ).
tff(c_383081,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_383077,c_382542]) ).
tff(c_383354,plain,
( ( e3 = e2 )
| ( e4 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_382564,c_383310,c_383081,c_142]) ).
tff(c_383355,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_412,c_404,c_406,c_383354]) ).
tff(c_383361,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_383355,c_326252]) ).
tff(c_383367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382548,c_383361]) ).
tff(c_383368,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_382563]) ).
tff(c_383370,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_383368]) ).
tff(c_383379,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_383370,c_316]) ).
tff(c_383375,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_383370,c_282]) ).
tff(c_383385,plain,
( ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_86]) ).
tff(c_383386,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_410,c_383385]) ).
tff(c_383387,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_383386]) ).
tff(c_383420,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_383387,c_365783,c_74]) ).
tff(c_383421,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_402,c_365451,c_383420]) ).
tff(c_383422,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_383421]) ).
tff(c_383431,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_383422,c_376]) ).
tff(c_383529,plain,
( ( e4 = e1 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_383370,c_134]) ).
tff(c_383530,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_383431,c_408,c_383529]) ).
tff(c_383531,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_383530]) ).
tff(c_383555,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e3 )
| ( e4 = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_383531,c_383370,c_138]) ).
tff(c_383556,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_365788,c_410,c_383555]) ).
tff(c_383562,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383556,c_363963]) ).
tff(c_383568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_383375,c_383562]) ).
tff(c_383569,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_383530]) ).
tff(c_383389,plain,
op(op(e0,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_383387,c_170]) ).
tff(c_383572,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_383569,c_383389]) ).
tff(c_383600,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_383572,c_374]) ).
tff(c_383606,plain,
( ( e3 = e1 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_383569,c_383370,c_138]) ).
tff(c_383607,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_383600,c_402,c_410,c_383606]) ).
tff(c_383615,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_383607,c_360]) ).
tff(c_383388,plain,
op(e1,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_383387,c_194]) ).
tff(c_383571,plain,
op(e1,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_383569,c_383388]) ).
tff(c_382544,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_382538,c_324]) ).
tff(c_382514,plain,
op(op(e3,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_382512,c_184]) ).
tff(c_383423,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383422,c_382514]) ).
tff(c_383478,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( e1 = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_383423,c_365449,c_70]) ).
tff(c_383479,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_208865,c_420,c_382544,c_414,c_383478]) ).
tff(c_383512,plain,
( ( e2 = e0 )
| ( e4 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_383422,c_383479,c_120]) ).
tff(c_383513,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_365898,c_404,c_418,c_383512]) ).
tff(c_383462,plain,
( ( op(e1,e4) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_382512,c_118]) ).
tff(c_383463,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_406,c_383462]) ).
tff(c_383464,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_383463]) ).
tff(c_383466,plain,
op(op(e0,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383464,c_190]) ).
tff(c_383514,plain,
op(e2,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383513,c_383466]) ).
tff(c_383524,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_382538,c_383514]) ).
tff(c_383526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_383524]) ).
tff(c_383527,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_383463]) ).
tff(c_383637,plain,
( ( op(e1,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_383571,c_383527]) ).
tff(c_383638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_383615,c_383637]) ).
tff(c_383639,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_383421]) ).
tff(c_383643,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_383639,c_382542]) ).
tff(c_383651,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383370,c_383643]) ).
tff(c_383653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_383651]) ).
tff(c_383654,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_383386]) ).
tff(c_383688,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_383379,c_383654]) ).
tff(c_383690,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_383688,c_382543]) ).
tff(c_383700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382519,c_383690]) ).
tff(c_383701,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_383368]) ).
tff(c_383709,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_383701,c_334]) ).
tff(c_383775,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_383701,c_142]) ).
tff(c_383776,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_365895,c_412,c_383775]) ).
tff(c_383777,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_383776]) ).
tff(c_383784,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_383777,c_326252]) ).
tff(c_383792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382548,c_383784]) ).
tff(c_383794,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_383776]) ).
tff(c_383726,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_383727,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_382544,c_414,c_383726]) ).
tff(c_383728,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_383727]) ).
tff(c_383819,plain,
( ( e4 = e0 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_383728,c_112]) ).
tff(c_383820,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_383819]) ).
tff(c_383821,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_383820]) ).
tff(c_383827,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383821,c_363963]) ).
tff(c_383793,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_383776]) ).
tff(c_383837,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383827,c_383793]) ).
tff(c_383839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_383837]) ).
tff(c_383841,plain,
op(e0,e1) != e4,
inference(splitRight,[status(thm)],[c_383820]) ).
tff(c_383977,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_383794,c_383841,c_48]) ).
tff(c_383743,plain,
( ( op(e1,e4) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_382512,c_130]) ).
tff(c_383744,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_418,c_383743]) ).
tff(c_383745,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_383744]) ).
tff(c_383927,plain,
( ( op(e1,e4) = e4 )
| ( e4 = e2 )
| ( e4 = e0 )
| ( e4 = e1 )
| ( op(e1,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_383745,c_382512,c_114]) ).
tff(c_383928,plain,
op(e1,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_404,c_365452,c_383927]) ).
tff(c_383932,plain,
op(e4,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_383928,c_198]) ).
tff(c_383979,plain,
op(e4,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_383977,c_383932]) ).
tff(c_383988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382544,c_383979]) ).
tff(c_383989,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_383744]) ).
tff(c_383730,plain,
op(e0,op(e1,e4)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383728,c_182]) ).
tff(c_384003,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_383989,c_383730]) ).
tff(c_384004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_384003]) ).
tff(c_384005,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_383727]) ).
tff(c_384006,plain,
op(e4,e1) != e0,
inference(splitRight,[status(thm)],[c_383727]) ).
tff(c_384116,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_112]) ).
tff(c_384117,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_365447,c_384116]) ).
tff(c_384118,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_384117]) ).
tff(c_384123,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384118,c_326252]) ).
tff(c_384131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384006,c_384123]) ).
tff(c_384132,plain,
( ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_384117]) ).
tff(c_384134,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_384132]) ).
tff(c_384136,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_384134,c_382514]) ).
tff(c_384145,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384005,c_384136]) ).
tff(c_384147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_384145]) ).
tff(c_384148,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_384132]) ).
tff(c_384164,plain,
( ( op(e2,e4) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e4 = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384148,c_365892,c_382538,c_98]) ).
tff(c_384165,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_416,c_384164]) ).
tff(c_384166,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_384165]) ).
tff(c_384198,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_384166,c_140]) ).
tff(c_384199,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_382519,c_406,c_384198]) ).
tff(c_384200,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_384199]) ).
tff(c_383707,plain,
op(e1,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_383701,c_170]) ).
tff(c_384201,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_384200,c_383707]) ).
tff(c_384151,plain,
op(e4,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_384148,c_186]) ).
tff(c_384213,plain,
op(e4,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_384201,c_384151]) ).
tff(c_384223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_383709,c_384213]) ).
tff(c_384224,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_384199]) ).
tff(c_384031,plain,
( ( op(e0,e4) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_383701,c_142]) ).
tff(c_384032,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_365895,c_412,c_384031]) ).
tff(c_384033,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_384032]) ).
tff(c_384037,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384033,c_326252]) ).
tff(c_384046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382548,c_384037]) ).
tff(c_384047,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_384032]) ).
tff(c_384050,plain,
op(e2,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_384047,c_160]) ).
tff(c_384228,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_384224,c_384050]) ).
tff(c_384235,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_384228]) ).
tff(c_384237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_384235]) ).
tff(c_384238,plain,
op(e2,e4) = e3,
inference(splitRight,[status(thm)],[c_384165]) ).
tff(c_384009,plain,
op(e0,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_384005,c_172]) ).
tff(c_384241,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_384238,c_384009]) ).
tff(c_384247,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_383701,c_384241]) ).
tff(c_384249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_384247]) ).
tff(c_384250,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_382537]) ).
tff(c_384256,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_384250,c_378682]) ).
tff(c_384278,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_384256,c_290]) ).
tff(c_384595,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_384278,c_48]) ).
tff(c_384596,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_384595]) ).
tff(c_384303,plain,
( ( op(e0,e4) = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_384256,c_146]) ).
tff(c_384304,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_408,c_384303]) ).
tff(c_384305,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_384304]) ).
tff(c_384313,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_384305,c_354]) ).
tff(c_384394,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_384278,c_48]) ).
tff(c_384395,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_384394]) ).
tff(c_384400,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384395,c_326252]) ).
tff(c_384353,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_112]) ).
tff(c_384354,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_384278,c_408,c_365447,c_384353]) ).
tff(c_384355,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_384354]) ).
tff(c_384411,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384400,c_384355]) ).
tff(c_384413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_384411]) ).
tff(c_384414,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_384394]) ).
tff(c_384422,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_384414,c_363963]) ).
tff(c_384445,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_384422,c_384256]) ).
tff(c_384447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_384445]) ).
tff(c_384448,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_384354]) ).
tff(c_384450,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_384448,c_382514]) ).
tff(c_384461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384313,c_384450]) ).
tff(c_384462,plain,
op(e0,e4) = e1,
inference(splitRight,[status(thm)],[c_384304]) ).
tff(c_384509,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_112]) ).
tff(c_384510,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_384278,c_408,c_365447,c_384509]) ).
tff(c_384511,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_384510]) ).
tff(c_384483,plain,
op(e0,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_384479,c_178]) ).
tff(c_384512,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_384511,c_384483]) ).
tff(c_384522,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_384462,c_384512]) ).
tff(c_384524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_384522]) ).
tff(c_384525,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_384510]) ).
tff(c_382515,plain,
op(e2,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_382512,c_168]) ).
tff(c_384528,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_384525,c_382515]) ).
tff(c_384561,plain,
op(e1,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_384528,c_312]) ).
tff(c_384570,plain,
( ( op(e1,e4) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_384479,c_382512,c_118]) ).
tff(c_384571,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_416,c_406,c_384561,c_384570]) ).
tff(c_384575,plain,
op(e3,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384571,c_198]) ).
tff(c_384597,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384596,c_384575]) ).
tff(c_384608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384485,c_384597]) ).
tff(c_384609,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_384595]) ).
tff(c_384611,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384609,c_384575]) ).
tff(c_384626,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384611,c_365783]) ).
tff(c_384628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_384626]) ).
tff(c_384629,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_384478]) ).
tff(c_384638,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_384629,c_310]) ).
tff(c_384648,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_112]) ).
tff(c_384649,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_384278,c_408,c_365447,c_384648]) ).
tff(c_384650,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_384649]) ).
tff(c_384655,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_384650,c_260]) ).
tff(c_384471,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_384462,c_316]) ).
tff(c_384731,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_384638,c_384471,c_365789,c_365451,c_12]) ).
tff(c_384257,plain,
op(op(e3,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_384250,c_154]) ).
tff(c_384734,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_384731,c_384257]) ).
tff(c_384742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384655,c_384734]) ).
tff(c_384743,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_384649]) ).
tff(c_384801,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e4 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384743,c_365783,c_90]) ).
tff(c_384802,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_252828,c_414,c_416,c_384638,c_384801]) ).
tff(c_384746,plain,
op(e2,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_384743,c_382515]) ).
tff(c_384857,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384462,c_384629,c_384746,c_365449,c_60]) ).
tff(c_384858,plain,
op(e3,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_418,c_406,c_404,c_384857]) ).
tff(c_384258,plain,
op(e0,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_384250,c_162]) ).
tff(c_384862,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_384858,c_384258]) ).
tff(c_384885,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_384862,c_378716]) ).
tff(c_384892,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384802,c_384885]) ).
tff(c_384894,plain,
op(op(e0,e2),e2) = e0,
inference(splitRight,[status(thm)],[c_378681]) ).
tff(c_385831,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385806,c_384894]) ).
tff(c_385805,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385801,c_326252]) ).
tff(c_385818,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_385805,c_186]) ).
tff(c_385874,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_385831,c_385818]) ).
tff(c_385875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_385874]) ).
tff(c_385876,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_385800]) ).
tff(c_385878,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_385876]) ).
tff(c_385883,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385878,c_326252]) ).
tff(c_385914,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_385883,c_364]) ).
tff(c_385884,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_385878,c_363963]) ).
tff(c_384954,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_365783,c_82]) ).
tff(c_384955,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_365899,c_406,c_384954]) ).
tff(c_384956,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_384955]) ).
tff(c_385214,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_384956,c_365783,c_74]) ).
tff(c_385215,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_402,c_365451,c_385214]) ).
tff(c_384978,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_66]) ).
tff(c_384979,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_384911,c_365881,c_408,c_384978]) ).
tff(c_384980,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_384979]) ).
tff(c_384893,plain,
( ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(splitRight,[status(thm)],[c_378681]) ).
tff(c_384916,plain,
( ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e1,e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_384893]) ).
tff(c_384917,plain,
op(op(e4,e2),e2) != e4,
inference(splitLeft,[status(thm)],[c_384916]) ).
tff(c_384981,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_384980,c_384917]) ).
tff(c_384926,plain,
( ( op(e4,e0) = e2 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_384901,c_140]) ).
tff(c_384927,plain,
( ( op(e4,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_365894,c_412,c_384926]) ).
tff(c_384928,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_384927]) ).
tff(c_385197,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( e4 = e1 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384928,c_365874,c_114]) ).
tff(c_385198,plain,
op(e1,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_404,c_408,c_384981,c_365452,c_385197]) ).
tff(c_384959,plain,
op(op(e1,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_384956,c_168]) ).
tff(c_385200,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_385198,c_384959]) ).
tff(c_385209,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_384980,c_385200]) ).
tff(c_385211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_385209]) ).
tff(c_385212,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_384979]) ).
tff(c_385230,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_385212,c_378682]) ).
tff(c_385246,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_385230,c_384959]) ).
tff(c_385273,plain,
op(e3,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_385246,c_384917]) ).
tff(c_385282,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_385215,c_385273]) ).
tff(c_385283,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_384955]) ).
tff(c_385309,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_385283,c_316]) ).
tff(c_385612,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384928,c_365874,c_130]) ).
tff(c_385613,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_420,c_385612]) ).
tff(c_385614,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_385613]) ).
tff(c_385284,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_384955]) ).
tff(c_385322,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_385284,c_365787,c_18]) ).
tff(c_385323,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_385322]) ).
tff(c_385329,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_385323,c_362]) ).
tff(c_385353,plain,
( ( op(e4,e1) = e4 )
| ( e4 = e0 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_385323,c_112]) ).
tff(c_385354,plain,
( ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_414,c_365447,c_385353]) ).
tff(c_385355,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_385354]) ).
tff(c_385359,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385355,c_326252]) ).
tff(c_385368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385329,c_385359]) ).
tff(c_385369,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_385354]) ).
tff(c_385375,plain,
op(op(e1,e2),e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_385369,c_178]) ).
tff(c_385616,plain,
op(e0,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_385614,c_385375]) ).
tff(c_385625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385309,c_385616]) ).
tff(c_385627,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_385613]) ).
tff(c_385393,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_84]) ).
tff(c_385394,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_410,c_385393]) ).
tff(c_385395,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_385394]) ).
tff(c_385397,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_385395,c_384903]) ).
tff(c_385406,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_385397]) ).
tff(c_385408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_385406]) ).
tff(c_385409,plain,
( ( op(e2,e3) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_385394]) ).
tff(c_385411,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_385409]) ).
tff(c_385415,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_385411,c_378682]) ).
tff(c_385326,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_385323,c_184]) ).
tff(c_385429,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_385415,c_385326]) ).
tff(c_385448,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_385429,c_284]) ).
tff(c_385302,plain,
op(op(e4,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_385283,c_162]) ).
tff(c_385412,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_385411,c_385302]) ).
tff(c_385433,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_385415,c_266]) ).
tff(c_385458,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_92]) ).
tff(c_385459,plain,
( ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_385433,c_404,c_365781,c_385458]) ).
tff(c_385460,plain,
op(e0,e2) = e4,
inference(splitLeft,[status(thm)],[c_385459]) ).
tff(c_385462,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385460,c_384894]) ).
tff(c_385478,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_385462,c_384917]) ).
tff(c_385488,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_385460,c_385478]) ).
tff(c_385489,plain,
op(e3,e2) = e4,
inference(splitRight,[status(thm)],[c_385459]) ).
tff(c_384935,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_384928,c_388]) ).
tff(c_385285,plain,
op(e4,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_208865,c_384911,c_384935,c_365767,c_10]) ).
tff(c_385522,plain,
( ( e4 = e0 )
| ( e1 = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_385285,c_385411,c_365449,c_70]) ).
tff(c_385523,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_416,c_385329,c_420,c_414,c_385522]) ).
tff(c_385553,plain,
( ( e1 = e0 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_385412,c_365892,c_385489,c_385523,c_104]) ).
tff(c_385554,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385448,c_410,c_412,c_408,c_420,c_385553]) ).
tff(c_385556,plain,
op(e4,e3) != e1,
inference(splitRight,[status(thm)],[c_385409]) ).
tff(c_385571,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_385285,c_365449,c_66]) ).
tff(c_385572,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_410,c_365881,c_385556,c_408,c_385571]) ).
tff(c_385581,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_385572,c_354]) ).
tff(c_385652,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_385653,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_365895,c_385309,c_385652]) ).
tff(c_385654,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_385653]) ).
tff(c_385660,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_385654,c_363963]) ).
tff(c_385667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385581,c_385660]) ).
tff(c_385668,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_385653]) ).
tff(c_384902,plain,
op(e1,op(e0,e3)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_194]) ).
tff(c_385671,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385668,c_384902]) ).
tff(c_385681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385627,c_385671]) ).
tff(c_385682,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_385322]) ).
tff(c_385690,plain,
op(e2,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_385682,c_366]) ).
tff(c_385716,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_385285,c_365449,c_66]) ).
tff(c_385717,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_365881,c_408,c_385716]) ).
tff(c_385718,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_385717]) ).
tff(c_385727,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_385718,c_354]) ).
tff(c_385734,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_385735,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_385727,c_385734]) ).
tff(c_385736,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_385735]) ).
tff(c_385738,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_385736,c_384903]) ).
tff(c_385747,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_385738]) ).
tff(c_385749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_385747]) ).
tff(c_385750,plain,
op(e0,e4) = e1,
inference(splitRight,[status(thm)],[c_385735]) ).
tff(c_385289,plain,
op(e3,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385285,c_192]) ).
tff(c_385752,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385750,c_385289]) ).
tff(c_385766,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385752,c_385682]) ).
tff(c_385768,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_385766]) ).
tff(c_385769,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_385717]) ).
tff(c_385301,plain,
op(e2,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_385283,c_154]) ).
tff(c_385771,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_385769,c_385301]) ).
tff(c_385783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385690,c_385771]) ).
tff(c_385784,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_384927]) ).
tff(c_385788,plain,
op(e2,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385784,c_192]) ).
tff(c_386021,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_385884,c_385788]) ).
tff(c_386022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385914,c_386021]) ).
tff(c_386023,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_385876]) ).
tff(c_386030,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_386023,c_363963]) ).
tff(c_386056,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_386030,c_384903]) ).
tff(c_386064,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_386056]) ).
tff(c_386066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_386064]) ).
tff(c_386068,plain,
op(op(e4,e2),e2) = e4,
inference(splitRight,[status(thm)],[c_384916]) ).
tff(c_386841,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_386840,c_386068]) ).
tff(c_386085,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_328]) ).
tff(c_386111,plain,
( ( op(e4,e0) = e2 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_384901,c_140]) ).
tff(c_386112,plain,
( ( op(e4,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_365894,c_412,c_386111]) ).
tff(c_386113,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_386112]) ).
tff(c_386375,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_365783,c_84]) ).
tff(c_386376,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_410,c_386375]) ).
tff(c_386377,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_386376]) ).
tff(c_386067,plain,
( ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(e1,e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 ) ),
inference(splitRight,[status(thm)],[c_384916]) ).
tff(c_386097,plain,
( ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(e1,e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e0,e3) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_386067]) ).
tff(c_386098,plain,
op(op(e0,e3),e3) != e0,
inference(splitLeft,[status(thm)],[c_386097]) ).
tff(c_386378,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_386377,c_386098]) ).
tff(c_386390,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_386378]) ).
tff(c_386391,plain,
( ( op(e2,e3) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_386376]) ).
tff(c_386401,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_386391]) ).
tff(c_386404,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_386401,c_378682]) ).
tff(c_386414,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_386404]) ).
tff(c_386416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_386414]) ).
tff(c_386417,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_386391]) ).
tff(c_386089,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_266]) ).
tff(c_386358,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_108]) ).
tff(c_386359,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_386089,c_418,c_386358]) ).
tff(c_386360,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_386359]) ).
tff(c_386363,plain,
op(op(e2,e3),e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_386360,c_166]) ).
tff(c_386435,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_386417,c_386363]) ).
tff(c_386444,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_386113,c_386435]) ).
tff(c_386446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_386444]) ).
tff(c_386447,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_386359]) ).
tff(c_386087,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_262]) ).
tff(c_386134,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_68]) ).
tff(c_386135,plain,
( ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_386087,c_414,c_386134]) ).
tff(c_386136,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_386135]) ).
tff(c_386137,plain,
op(e0,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_386136,c_156]) ).
tff(c_386449,plain,
op(e0,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_386447,c_386137]) ).
tff(c_386460,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_386449]) ).
tff(c_386462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_386460]) ).
tff(c_386463,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_386135]) ).
tff(c_386092,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_332]) ).
tff(c_386668,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_365783,c_386463,c_82]) ).
tff(c_386669,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_365899,c_406,c_418,c_386668]) ).
tff(c_386671,plain,
op(e2,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_386669,c_386083]) ).
tff(c_386611,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_98]) ).
tff(c_386612,plain,
( ( op(e2,e4) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_365765,c_386611]) ).
tff(c_386613,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_386612]) ).
tff(c_386682,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_386671,c_386613]) ).
tff(c_386684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_386682]) ).
tff(c_386685,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_386612]) ).
tff(c_386687,plain,
op(e2,e4) = e3,
inference(splitLeft,[status(thm)],[c_386685]) ).
tff(c_386695,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_386687,c_248]) ).
tff(c_386706,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_116]) ).
tff(c_386707,plain,
( ( op(e4,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_386695,c_365787,c_386706]) ).
tff(c_386708,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_386707]) ).
tff(c_386116,plain,
op(e2,op(e0,e1)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_386113,c_198]) ).
tff(c_386709,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_386708,c_386116]) ).
tff(c_386722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386092,c_386709]) ).
tff(c_386723,plain,
op(e4,e1) = e3,
inference(splitRight,[status(thm)],[c_386707]) ).
tff(c_386751,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( e3 = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386723,c_365449,c_70]) ).
tff(c_386752,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_208865,c_416,c_386085,c_414,c_386751]) ).
tff(c_386689,plain,
op(e3,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_386687,c_156]) ).
tff(c_386753,plain,
op(e3,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_386752,c_386689]) ).
tff(c_386763,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_386753]) ).
tff(c_386765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_386763]) ).
tff(c_386766,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_386685]) ).
tff(c_386479,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_386089,c_365879,c_365896,c_36]) ).
tff(c_386480,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_386479]) ).
tff(c_386488,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_386480,c_360]) ).
tff(c_386567,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_365783,c_386463,c_82]) ).
tff(c_386568,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_412,c_365899,c_406,c_418,c_386567]) ).
tff(c_386084,plain,
op(e0,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_168]) ).
tff(c_386571,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_386568,c_386084]) ).
tff(c_386578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386488,c_386571]) ).
tff(c_386579,plain,
op(e1,e2) = e4,
inference(splitRight,[status(thm)],[c_386479]) ).
tff(c_386582,plain,
op(op(e2,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_386579,c_186]) ).
tff(c_386768,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_386766,c_386582]) ).
tff(c_386778,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_386463,c_386768]) ).
tff(c_386780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_386778]) ).
tff(c_386781,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_386112]) ).
tff(c_386792,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_386781,c_216]) ).
tff(c_386808,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_386085,c_386792,c_365799,c_365798,c_4]) ).
tff(c_386812,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_386808,c_378682]) ).
tff(c_386821,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_386812]) ).
tff(c_386823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_386821]) ).
tff(c_386824,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(e0,e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e1,e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(splitRight,[status(thm)],[c_386097]) ).
tff(c_386886,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e0,e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e1,e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386840,c_386841,c_386824]) ).
tff(c_386887,plain,
op(op(e4,e1),e1) != e4,
inference(splitLeft,[status(thm)],[c_386886]) ).
tff(c_387015,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_387003,c_386887]) ).
tff(c_387026,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386982,c_387015]) ).
tff(c_387028,plain,
op(op(e4,e1),e1) = e4,
inference(splitRight,[status(thm)],[c_386886]) ).
tff(c_387196,plain,
op(e3,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_387193,c_387028]) ).
tff(c_387210,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387196,c_386083]) ).
tff(c_387219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384911,c_387210]) ).
tff(c_387220,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_387191]) ).
tff(c_386857,plain,
op(op(e2,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_386841,c_186]) ).
tff(c_387223,plain,
op(e3,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387220,c_386857]) ).
tff(c_387234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384910,c_387223]) ).
tff(c_387235,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_386839]) ).
tff(c_387239,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_387235,c_378682]) ).
tff(c_387249,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_386082,c_387239]) ).
tff(c_387251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_387249]) ).
tff(c_387252,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_386081]) ).
tff(c_387254,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_387252]) ).
tff(c_387262,plain,
op(e1,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_387254,c_266]) ).
tff(c_387278,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365879,c_365896,c_387262,c_36]) ).
tff(c_387279,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_387278]) ).
tff(c_387286,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_387279,c_350]) ).
tff(c_387821,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_387279,c_365892,c_96]) ).
tff(c_387822,plain,
( ( op(e4,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_406,c_365785,c_387821]) ).
tff(c_387823,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_387822]) ).
tff(c_387824,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_387823,c_384894]) ).
tff(c_387835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_387286,c_387824]) ).
tff(c_387836,plain,
op(e4,e2) = e3,
inference(splitRight,[status(thm)],[c_387822]) ).
tff(c_387848,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_387836,c_218]) ).
tff(c_387846,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_387836,c_354]) ).
tff(c_388602,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_388603,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_387846,c_365788,c_388602]) ).
tff(c_388604,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_388603]) ).
tff(c_388608,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_388604,c_326252]) ).
tff(c_387257,plain,
op(e4,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_387254,c_168]) ).
tff(c_388623,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_388608,c_387257]) ).
tff(c_388630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_387848,c_388623]) ).
tff(c_388631,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_388603]) ).
tff(c_387839,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_387836,c_386068]) ).
tff(c_387859,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_387839,c_356]) ).
tff(c_388043,plain,
( ( e4 = e2 )
| ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_387836,c_365449,c_62]) ).
tff(c_388044,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_404,c_388043]) ).
tff(c_388045,plain,
op(e4,e0) = e2,
inference(splitLeft,[status(thm)],[c_388044]) ).
tff(c_387264,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_387254,c_340]) ).
tff(c_387285,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_387279,c_264]) ).
tff(c_387885,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_365453,c_42]) ).
tff(c_387886,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_387885]) ).
tff(c_387951,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e4 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_387254,c_365783,c_88]) ).
tff(c_387952,plain,
( ( op(e4,e3) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_414,c_416,c_387951]) ).
tff(c_387953,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_387952]) ).
tff(c_387856,plain,
op(op(e2,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_387839,c_166]) ).
tff(c_387956,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_387953,c_387856]) ).
tff(c_387966,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387886,c_387956]) ).
tff(c_387968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_387966]) ).
tff(c_387969,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_387952]) ).
tff(c_387895,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_387886,c_318]) ).
tff(c_387912,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_387839,c_365783,c_82]) ).
tff(c_387913,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_404,c_406,c_387912]) ).
tff(c_387914,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_387913]) ).
tff(c_387256,plain,
op(op(e3,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387254,c_184]) ).
tff(c_387917,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387914,c_387256]) ).
tff(c_387926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_387895,c_387917]) ).
tff(c_387927,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_387913]) ).
tff(c_387931,plain,
op(op(e4,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_387927,c_162]) ).
tff(c_387971,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_387969,c_387931]) ).
tff(c_387982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_387846,c_387971]) ).
tff(c_387983,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_387885]) ).
tff(c_387985,plain,
op(e0,e4) = e3,
inference(splitLeft,[status(thm)],[c_387983]) ).
tff(c_387688,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_387689,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365788,c_387688]) ).
tff(c_387690,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_387689]) ).
tff(c_387695,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387690,c_363963]) ).
tff(c_387710,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_387695,c_384903]) ).
tff(c_387717,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_387710]) ).
tff(c_387719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_387717]) ).
tff(c_387721,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_387689]) ).
tff(c_387723,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_387721,c_48]) ).
tff(c_387724,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_387723]) ).
tff(c_387743,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_387724,c_326252]) ).
tff(c_387284,plain,
op(e0,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_387279,c_178]) ).
tff(c_387756,plain,
op(e0,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_387743,c_387284]) ).
tff(c_387764,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_387756]) ).
tff(c_387766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_387764]) ).
tff(c_387767,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_387723]) ).
tff(c_387788,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_387767,c_326252]) ).
tff(c_387564,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365880,c_365898,c_28]) ).
tff(c_387565,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_387564]) ).
tff(c_387281,plain,
op(op(e2,e1),e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387279,c_186]) ).
tff(c_387566,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387565,c_387281]) ).
tff(c_387574,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_387566]) ).
tff(c_387576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_387574]) ).
tff(c_387577,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_387564]) ).
tff(c_387579,plain,
op(e2,e1) = e4,
inference(splitLeft,[status(thm)],[c_387577]) ).
tff(c_387581,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387579,c_387281]) ).
tff(c_387590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384911,c_387581]) ).
tff(c_387591,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_387577]) ).
tff(c_387596,plain,
op(e0,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_387591,c_387284]) ).
tff(c_387294,plain,
( ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(e1,e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e4,e3) != e1 )
| ( op(e0,e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e0,e3),e3) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_387279,c_387254,c_386067]) ).
tff(c_387295,plain,
op(op(e0,e3),e3) != e0,
inference(splitLeft,[status(thm)],[c_387294]) ).
tff(c_387609,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_387596,c_387295]) ).
tff(c_387288,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_387279,c_348]) ).
tff(c_365901,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_344]) ).
tff(c_387304,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_365787,c_18]) ).
tff(c_387305,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_387304]) ).
tff(c_387306,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_387305,c_387257]) ).
tff(c_387341,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_387306,c_218]) ).
tff(c_387347,plain,
op(e4,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_387288,c_365901,c_387341,c_365781,c_6]) ).
tff(c_387350,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_387347,c_386068]) ).
tff(c_387359,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_387279,c_387350]) ).
tff(c_387361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_387359]) ).
tff(c_387362,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_387304]) ).
tff(c_387364,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_387362]) ).
tff(c_387367,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387364,c_387256]) ).
tff(c_387379,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387367,c_365449]) ).
tff(c_387381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_387379]) ).
tff(c_387382,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_387362]) ).
tff(c_387393,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_387382,c_228]) ).
tff(c_387399,plain,
( ( op(e3,e4) = e4 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( e4 = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_387382,c_365783,c_74]) ).
tff(c_387400,plain,
op(e3,e2) = e4,
inference(negUnitSimplification,[status(thm)],[c_408,c_404,c_402,c_365451,c_387399]) ).
tff(c_387386,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_387382,c_387257]) ).
tff(c_387476,plain,
( ( e3 = e1 )
| ( e4 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_387279,c_365892,c_387400,c_387386,c_104]) ).
tff(c_387477,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_412,c_408,c_410,c_387476]) ).
tff(c_387441,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_387442,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_365788,c_387441]) ).
tff(c_387443,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_387442]) ).
tff(c_387449,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387443,c_363963]) ).
tff(c_387463,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_387449,c_384903]) ).
tff(c_387471,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_387463]) ).
tff(c_387473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_387471]) ).
tff(c_387474,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_387442]) ).
tff(c_387511,plain,
( ( e3 = e1 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_387477,c_387474]) ).
tff(c_387512,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_387511]) ).
tff(c_387387,plain,
op(e2,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_387382,c_387256]) ).
tff(c_387542,plain,
( ( e4 = e2 )
| ( op(e3,e4) = e2 )
| ( e2 = e1 )
| ( op(e1,e4) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_387512,c_387387,c_365449,c_60]) ).
tff(c_387543,plain,
op(e1,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_406,c_412,c_387393,c_404,c_387542]) ).
tff(c_387550,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_387543,c_274]) ).
tff(c_387630,plain,
( ( op(e4,e0) = e2 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_384901,c_140]) ).
tff(c_387631,plain,
op(e4,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_387550,c_365894,c_412,c_387630]) ).
tff(c_387515,plain,
op(op(e4,e0),e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_387512,c_192]) ).
tff(c_387632,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_387631,c_387515]) ).
tff(c_387643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_387609,c_387632]) ).
tff(c_387644,plain,
( ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(e0,e2) != e1 )
| ( op(e4,e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(e1,e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 ) ),
inference(splitRight,[status(thm)],[c_387294]) ).
tff(c_387658,plain,
op(op(e4,e1),e1) != e4,
inference(splitLeft,[status(thm)],[c_387644]) ).
tff(c_387800,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_387788,c_387658]) ).
tff(c_387812,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_387767,c_387800]) ).
tff(c_387813,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(e1,e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e4,e3) != e1 )
| ( op(e0,e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 ) ),
inference(splitRight,[status(thm)],[c_387644]) ).
tff(c_387879,plain,
( ( op(op(e4,e0),e0) != e4 )
| ( op(op(e3,e4),e4) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(e1,e0) != e3 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(e4,e3) != e1 )
| ( op(e0,e2) != e1 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e0,e4),e4) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_387836,c_387839,c_387813]) ).
tff(c_387880,plain,
op(op(e0,e4),e4) != e0,
inference(splitLeft,[status(thm)],[c_387879]) ).
tff(c_387987,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_387985,c_387880]) ).
tff(c_388010,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_387985,c_365449,c_68]) ).
tff(c_388011,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_416,c_387285,c_387987,c_414,c_388010]) ).
tff(c_387840,plain,
op(op(e2,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_387836,c_156]) ).
tff(c_388013,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_388011,c_387840]) ).
tff(c_388023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_387264,c_388013]) ).
tff(c_388024,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_387983]) ).
tff(c_388029,plain,
op(e2,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_388024,c_160]) ).
tff(c_388058,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_388045,c_388029]) ).
tff(c_388059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_388058]) ).
tff(c_388060,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_388044]) ).
tff(c_388093,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_388060]) ).
tff(c_388028,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_388024,c_387880]) ).
tff(c_388066,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388024,c_365449,c_68]) ).
tff(c_388067,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_387285,c_388028,c_414,c_388066]) ).
tff(c_388070,plain,
op(e0,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_388067,c_154]) ).
tff(c_388095,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_388093,c_388070]) ).
tff(c_388105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_387859,c_388095]) ).
tff(c_388106,plain,
op(e4,e1) = e2,
inference(splitRight,[status(thm)],[c_388060]) ).
tff(c_387814,plain,
op(op(e4,e1),e1) = e4,
inference(splitRight,[status(thm)],[c_387644]) ).
tff(c_388109,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_388106,c_387814]) ).
tff(c_388124,plain,
op(e4,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_388109,c_387281]) ).
tff(c_388134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384911,c_388124]) ).
tff(c_388136,plain,
op(op(e0,e4),e4) = e0,
inference(splitRight,[status(thm)],[c_387879]) ).
tff(c_388634,plain,
op(e3,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_388631,c_388136]) ).
tff(c_388346,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_365788,c_387264,c_44]) ).
tff(c_388347,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_388346]) ).
tff(c_388351,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_388347,c_384903]) ).
tff(c_388359,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_388351]) ).
tff(c_388361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_388359]) ).
tff(c_388362,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_388346]) ).
tff(c_388369,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_388362,c_384903]) ).
tff(c_388145,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e4 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384901,c_387839,c_365783,c_82]) ).
tff(c_388146,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_404,c_406,c_388145]) ).
tff(c_388147,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_388146]) ).
tff(c_388499,plain,
( ( op(e4,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_388369,c_388147,c_128]) ).
tff(c_388500,plain,
op(e4,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_233155,c_420,c_416,c_418,c_388499]) ).
tff(c_388505,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_388500,c_387814]) ).
tff(c_388521,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_388505,c_363963]) ).
tff(c_387645,plain,
op(op(e0,e3),e3) = e0,
inference(splitRight,[status(thm)],[c_387294]) ).
tff(c_388366,plain,
op(e2,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_388362,c_387645]) ).
tff(c_388397,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_388366,c_387856]) ).
tff(c_388529,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_388521,c_388397]) ).
tff(c_388531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_388529]) ).
tff(c_388532,plain,
op(e3,e4) = e2,
inference(splitRight,[status(thm)],[c_388146]) ).
tff(c_388648,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_388634,c_388532]) ).
tff(c_388650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_388648]) ).
tff(c_388651,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_387278]) ).
tff(c_388661,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_388651,c_348]) ).
tff(c_388677,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_365787,c_18]) ).
tff(c_388678,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_388677]) ).
tff(c_388680,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_388678,c_387256]) ).
tff(c_388702,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_388680,c_282]) ).
tff(c_388864,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_252838,c_388702,c_365788,c_387264,c_44]) ).
tff(c_388867,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_388864,c_384902]) ).
tff(c_388876,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_388867,c_388651]) ).
tff(c_388878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_388876]) ).
tff(c_388879,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_388677]) ).
tff(c_388941,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_388879]) ).
tff(c_388944,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_388941,c_387256]) ).
tff(c_388956,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_388944,c_365449]) ).
tff(c_388958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_388956]) ).
tff(c_388959,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_388879]) ).
tff(c_388979,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_388959,c_387257]) ).
tff(c_388989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_388661,c_388979]) ).
tff(c_388990,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_387252]) ).
tff(c_389018,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388990,c_365783,c_84]) ).
tff(c_389019,plain,
( ( op(e4,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_410,c_389018]) ).
tff(c_389020,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_389019]) ).
tff(c_389024,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_389020,c_384903]) ).
tff(c_389033,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_389024]) ).
tff(c_389035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_389033]) ).
tff(c_389037,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_389019]) ).
tff(c_389079,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e2) = e1 )
| ( op(e4,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365901,c_365781,c_6]) ).
tff(c_389080,plain,
op(e4,e2) = e0,
inference(splitLeft,[status(thm)],[c_389079]) ).
tff(c_389086,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_389080,c_206]) ).
tff(c_389036,plain,
( ( op(e2,e3) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_389019]) ).
tff(c_389038,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_389036]) ).
tff(c_389041,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_389038,c_378682]) ).
tff(c_389051,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_388990,c_389041]) ).
tff(c_389053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_389051]) ).
tff(c_389054,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_389036]) ).
tff(c_389059,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_389054,c_324]) ).
tff(c_388995,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_388990,c_328]) ).
tff(c_389214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_389086,c_389059,c_388995,c_365799,c_365798,c_4]) ).
tff(c_389215,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_389079]) ).
tff(c_389217,plain,
op(e4,e2) = e3,
inference(splitLeft,[status(thm)],[c_389215]) ).
tff(c_389226,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_389217,c_354]) ).
tff(c_389261,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_138]) ).
tff(c_389262,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_389226,c_365788,c_389261]) ).
tff(c_389263,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_389262]) ).
tff(c_389268,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_389263,c_363963]) ).
tff(c_389277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_389037,c_389268]) ).
tff(c_389278,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_389262]) ).
tff(c_389219,plain,
op(e3,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_389217,c_386068]) ).
tff(c_389057,plain,
op(e1,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_389054,c_166]) ).
tff(c_389234,plain,
op(e1,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_389219,c_389057]) ).
tff(c_389251,plain,
op(e0,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_389234,c_320]) ).
tff(c_389294,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_389278,c_389251]) ).
tff(c_389295,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_389215]) ).
tff(c_389305,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_389295,c_354]) ).
tff(c_389298,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_389295,c_386068]) ).
tff(c_389320,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_389298,c_360]) ).
tff(c_389338,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_130110,c_389305,c_365895,c_389320,c_46]) ).
tff(c_389341,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_389338,c_384894]) ).
tff(c_389058,plain,
op(op(e3,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_389054,c_174]) ).
tff(c_389356,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_389341,c_389058]) ).
tff(c_389382,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_389356,c_363963]) ).
tff(c_389393,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_389382,c_389338]) ).
tff(c_389395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_389393]) ).
tff(c_389396,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_384900]) ).
tff(c_389398,plain,
op(e3,e4) = e1,
inference(splitLeft,[status(thm)],[c_389396]) ).
tff(c_389405,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_389398,c_224]) ).
tff(c_389397,plain,
op(e3,e0) != e1,
inference(splitRight,[status(thm)],[c_384900]) ).
tff(c_391254,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_365767,c_10]) ).
tff(c_391255,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_391254]) ).
tff(c_391262,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_391255,c_218]) ).
tff(c_391227,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_70]) ).
tff(c_391228,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_414,c_391227]) ).
tff(c_391229,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_391228]) ).
tff(c_391233,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_391229,c_210]) ).
tff(c_391263,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_391255,c_216]) ).
tff(c_391434,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_80]) ).
tff(c_391435,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_365900,c_406,c_391434]) ).
tff(c_391436,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_391435]) ).
tff(c_391441,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_391436,c_334]) ).
tff(c_391528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_391233,c_391263,c_391441,c_365799,c_365798,c_4]) ).
tff(c_391529,plain,
( ( op(e1,e3) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_391435]) ).
tff(c_391531,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_391529]) ).
tff(c_389400,plain,
op(op(e4,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_389398,c_162]) ).
tff(c_391535,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_391531,c_389400]) ).
tff(c_391530,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_391435]) ).
tff(c_391592,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_142]) ).
tff(c_391593,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_365895,c_391530,c_391592]) ).
tff(c_391594,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_391593]) ).
tff(c_391600,plain,
op(e2,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_391594,c_326252]) ).
tff(c_391610,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_391600,c_391535]) ).
tff(c_391612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_391610]) ).
tff(c_391613,plain,
op(e0,e4) = e2,
inference(splitRight,[status(thm)],[c_391593]) ).
tff(c_391256,plain,
op(op(e0,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_391255,c_160]) ).
tff(c_391616,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_391613,c_391256]) ).
tff(c_391625,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_391535,c_391616]) ).
tff(c_391627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_391625]) ).
tff(c_391628,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_391529]) ).
tff(c_391237,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_391229,c_362]) ).
tff(c_391269,plain,
( ( e4 = e1 )
| ( e4 = e3 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_389398,c_74]) ).
tff(c_391270,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_408,c_391269]) ).
tff(c_391271,plain,
op(e3,e0) = e4,
inference(splitLeft,[status(thm)],[c_391270]) ).
tff(c_391275,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_391271,c_386]) ).
tff(c_391301,plain,
( ( e4 = e2 )
| ( e2 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_389398,c_365449,c_60]) ).
tff(c_391302,plain,
( ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_365897,c_412,c_404,c_391301]) ).
tff(c_391303,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_391302]) ).
tff(c_391257,plain,
op(e1,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_391255,c_192]) ).
tff(c_391305,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_391303,c_391257]) ).
tff(c_391323,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_391305,c_350]) ).
tff(c_391369,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_391271,c_365783,c_389398,c_90]) ).
tff(c_391370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_391237,c_391323,c_416,c_420,c_391369]) ).
tff(c_391371,plain,
op(e1,e4) = e2,
inference(splitRight,[status(thm)],[c_391302]) ).
tff(c_391232,plain,
op(op(e1,e4),e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_391229,c_158]) ).
tff(c_391374,plain,
op(e2,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_391371,c_391232]) ).
tff(c_391383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_391275,c_391374]) ).
tff(c_391384,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_391270]) ).
tff(c_391394,plain,
op(e3,e2) = e4,
inference(splitLeft,[status(thm)],[c_391384]) ).
tff(c_391409,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e4 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_391394,c_365783,c_389398,c_90]) ).
tff(c_391410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252828,c_391237,c_414,c_416,c_420,c_391409]) ).
tff(c_391411,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_391384]) ).
tff(c_391415,plain,
op(e4,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_391411,c_184]) ).
tff(c_391631,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_391628,c_391415]) ).
tff(c_391641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_391262,c_391631]) ).
tff(c_391642,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_391254]) ).
tff(c_391644,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_391642]) ).
tff(c_391969,plain,
( ( e3 = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_391644,c_144]) ).
tff(c_391970,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_365878,c_389397,c_410,c_391969]) ).
tff(c_391898,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_391233,c_365799,c_365798,c_4]) ).
tff(c_391899,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_391898]) ).
tff(c_389399,plain,
op(e1,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_389398,c_154]) ).
tff(c_391901,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_391899,c_389399]) ).
tff(c_391910,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_391901]) ).
tff(c_391912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_391910]) ).
tff(c_391913,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_391898]) ).
tff(c_391918,plain,
op(e2,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_391913,c_389400]) ).
tff(c_391920,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_391913,c_378682]) ).
tff(c_392094,plain,
( ( op(e2,e4) = e0 )
| ( e4 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_391970,c_391918,c_365892,c_391920,c_110]) ).
tff(c_392095,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_418,c_414,c_392094]) ).
tff(c_391917,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_391913,c_389399]) ).
tff(c_392003,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e4 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_391917,c_365892,c_104]) ).
tff(c_392004,plain,
( ( op(e4,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_412,c_389405,c_392003]) ).
tff(c_392005,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_392004]) ).
tff(c_391973,plain,
op(op(e0,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_391970,c_180]) ).
tff(c_392007,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_392005,c_391973]) ).
tff(c_392017,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_392007]) ).
tff(c_392019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_392017]) ).
tff(c_392020,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_392004]) ).
tff(c_392058,plain,
op(op(e2,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_392020,c_156]) ).
tff(c_392097,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_392095,c_392058]) ).
tff(c_392136,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_392097,c_363963]) ).
tff(c_389408,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_389398,c_316]) ).
tff(c_392022,plain,
( ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50476,c_389408,c_365453,c_42]) ).
tff(c_392023,plain,
op(e0,e4) = e2,
inference(splitLeft,[status(thm)],[c_392022]) ).
tff(c_392144,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_392136,c_392023]) ).
tff(c_392146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_392144]) ).
tff(c_392147,plain,
op(e0,e4) = e3,
inference(splitRight,[status(thm)],[c_392022]) ).
tff(c_391646,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_391644,c_160]) ).
tff(c_392164,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_392147,c_391646]) ).
tff(c_392174,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_392164]) ).
tff(c_392176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_392174]) ).
tff(c_392177,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_391642]) ).
tff(c_392184,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_392177,c_388]) ).
tff(c_392816,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392177,c_391229,c_365449,c_66]) ).
tff(c_392817,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_420,c_408,c_392816]) ).
tff(c_392818,plain,
op(e4,e2) = e1,
inference(splitLeft,[status(thm)],[c_392817]) ).
tff(c_391236,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_391229,c_364]) ).
tff(c_392549,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_391236,c_365880,c_365898,c_28]) ).
tff(c_392550,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_392549]) ).
tff(c_392219,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365879,c_365896,c_36]) ).
tff(c_392220,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_392219]) ).
tff(c_392225,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_392220,c_264]) ).
tff(c_392202,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_110]) ).
tff(c_392203,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_391236,c_418,c_392202]) ).
tff(c_392204,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_392203]) ).
tff(c_392211,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_392204,c_242]) ).
tff(c_392251,plain,
( ( e4 = e0 )
| ( e1 = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_389398,c_365449,c_68]) ).
tff(c_392252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50476,c_392225,c_392211,c_420,c_414,c_392251]) ).
tff(c_392253,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e4 ) ),
inference(splitRight,[status(thm)],[c_392219]) ).
tff(c_392433,plain,
op(e1,e2) = e4,
inference(splitLeft,[status(thm)],[c_392253]) ).
tff(c_392443,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_392433,c_360]) ).
tff(c_392473,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_130110,c_365895,c_392443,c_46]) ).
tff(c_392474,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_392473]) ).
tff(c_392476,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_392474,c_384894]) ).
tff(c_392490,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_392476,c_392433]) ).
tff(c_392492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_392490]) ).
tff(c_392493,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_392473]) ).
tff(c_392496,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_392493,c_384894]) ).
tff(c_392206,plain,
op(e0,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_392204,c_166]) ).
tff(c_392512,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_392496,c_392206]) ).
tff(c_392519,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_392512]) ).
tff(c_392521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_392519]) ).
tff(c_392522,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_392253]) ).
tff(c_392526,plain,
op(op(e2,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_392522,c_186]) ).
tff(c_392566,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_392550,c_392526]) ).
tff(c_392594,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_392566,c_365783]) ).
tff(c_392596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_392594]) ).
tff(c_392597,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_392549]) ).
tff(c_392529,plain,
op(e3,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_392522,c_178]) ).
tff(c_392632,plain,
op(e3,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_392597,c_392529]) ).
tff(c_392641,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_389398,c_392632]) ).
tff(c_392643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_392641]) ).
tff(c_392644,plain,
op(e2,e4) = e0,
inference(splitRight,[status(thm)],[c_392203]) ).
tff(c_392649,plain,
op(op(e4,e2),e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_392644,c_172]) ).
tff(c_392820,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_392818,c_392649]) ).
tff(c_392829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_392184,c_392820]) ).
tff(c_392830,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_392817]) ).
tff(c_392834,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_392830,c_389399]) ).
tff(c_392843,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_392834]) ).
tff(c_392845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_392843]) ).
tff(c_392846,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_391228]) ).
tff(c_392848,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_392846]) ).
tff(c_392850,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_392848,c_389400]) ).
tff(c_392881,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_392850,c_363963]) ).
tff(c_392852,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_392848,c_378682]) ).
tff(c_392917,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_392881,c_392852]) ).
tff(c_392918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_392917]) ).
tff(c_392919,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_392846]) ).
tff(c_390612,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_66]) ).
tff(c_390613,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365881,c_408,c_390612]) ).
tff(c_390614,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_390613]) ).
tff(c_390637,plain,
( ( e4 = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390614,c_365449,c_70]) ).
tff(c_390638,plain,
( ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_414,c_390637]) ).
tff(c_390639,plain,
op(e4,e1) = e0,
inference(splitLeft,[status(thm)],[c_390638]) ).
tff(c_390679,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_390639,c_362]) ).
tff(c_390618,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_390614,c_384]) ).
tff(c_390623,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_390614,c_218]) ).
tff(c_390640,plain,
( ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( e4 = e1 )
| ( op(e0,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_112]) ).
tff(c_390641,plain,
( ( op(e3,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_365447,c_390640]) ).
tff(c_390642,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_390641]) ).
tff(c_390660,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_390642,c_363963]) ).
tff(c_390669,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_389408,c_390660]) ).
tff(c_390670,plain,
( ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_390641]) ).
tff(c_390689,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_390670]) ).
tff(c_389425,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_80]) ).
tff(c_389426,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_365900,c_406,c_389425]) ).
tff(c_389427,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_389426]) ).
tff(c_389436,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_389427,c_290]) ).
tff(c_390365,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_389436,c_48]) ).
tff(c_390366,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_390365]) ).
tff(c_390372,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_390366,c_363963]) ).
tff(c_390383,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_390372,c_389427]) ).
tff(c_390385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_390383]) ).
tff(c_390386,plain,
op(e0,e1) = e4,
inference(splitRight,[status(thm)],[c_390365]) ).
tff(c_390394,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_390386,c_363963]) ).
tff(c_390402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_389408,c_390394]) ).
tff(c_390403,plain,
( ( op(e1,e3) = e2 )
| ( op(e4,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_389426]) ).
tff(c_390405,plain,
op(e4,e3) = e2,
inference(splitLeft,[status(thm)],[c_390403]) ).
tff(c_390406,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_390405,c_389399]) ).
tff(c_390452,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_390406,c_360]) ).
tff(c_390501,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_146]) ).
tff(c_390502,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_389408,c_390501]) ).
tff(c_390503,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_390502]) ).
tff(c_390505,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_390503,c_384894]) ).
tff(c_390519,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_390505,c_390406]) ).
tff(c_390521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_390519]) ).
tff(c_390522,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_390502]) ).
tff(c_390546,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e1 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_390522,c_134]) ).
tff(c_390547,plain,
op(e0,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_390452,c_408,c_365453,c_390546]) ).
tff(c_390553,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_390547,c_363963]) ).
tff(c_390560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_389408,c_390553]) ).
tff(c_390561,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_390403]) ).
tff(c_390563,plain,
op(op(e3,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_390561,c_184]) ).
tff(c_390691,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_390689,c_390563]) ).
tff(c_390700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_390623,c_390691]) ).
tff(c_390701,plain,
op(e2,e1) = e4,
inference(splitRight,[status(thm)],[c_390670]) ).
tff(c_390708,plain,
op(e2,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_390701,c_260]) ).
tff(c_390869,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_164529,c_390618,c_365894,c_390708,c_30]) ).
tff(c_390567,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_390561,c_262]) ).
tff(c_390729,plain,
( ( e4 = e2 )
| ( e2 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_389398,c_365449,c_60]) ).
tff(c_390730,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_390567,c_365897,c_412,c_404,c_390729]) ).
tff(c_390617,plain,
op(e1,op(e0,e4)) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_390614,c_192]) ).
tff(c_390732,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_390730,c_390617]) ).
tff(c_390750,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_390732,c_264]) ).
tff(c_390763,plain,
( ( e4 = e0 )
| ( e1 = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390730,c_389398,c_365449,c_68]) ).
tff(c_390764,plain,
op(e2,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_418,c_390750,c_420,c_414,c_390763]) ).
tff(c_390771,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_390764,c_242]) ).
tff(c_390710,plain,
op(e2,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_390701,c_250]) ).
tff(c_390787,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_390771,c_365900,c_365765,c_390710,c_24]) ).
tff(c_390796,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_390787,c_338]) ).
tff(c_390809,plain,
( ( e2 = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_390730,c_146]) ).
tff(c_390810,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_420,c_365882,c_390796,c_412,c_390809]) ).
tff(c_390814,plain,
op(op(e2,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_390810,c_196]) ).
tff(c_390870,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_390869,c_390814]) ).
tff(c_390878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_390679,c_390870]) ).
tff(c_390879,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_390638]) ).
tff(c_390881,plain,
op(e4,e3) = e0,
inference(splitLeft,[status(thm)],[c_390879]) ).
tff(c_390885,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_390881,c_389400]) ).
tff(c_390926,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_390885,c_363963]) ).
tff(c_390887,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_390881,c_378682]) ).
tff(c_390937,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_390926,c_390887]) ).
tff(c_390939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_390937]) ).
tff(c_390940,plain,
op(e4,e2) = e0,
inference(splitRight,[status(thm)],[c_390879]) ).
tff(c_390880,plain,
op(e4,e1) != e0,
inference(splitRight,[status(thm)],[c_390638]) ).
tff(c_389423,plain,
( ( op(op(e0,e3),e3) != e0 )
| ( op(op(e0,e4),e4) != e0 )
| ( op(op(e1,e0),e0) != e1 )
| ( op(op(e1,e2),e2) != e1 )
| ( op(op(e1,e3),e3) != e1 )
| ( op(op(e1,e4),e4) != e1 )
| ( op(op(e2,e0),e0) != e2 )
| ( op(op(e2,e1),e1) != e2 )
| ( op(op(e2,e3),e3) != e2 )
| ( op(op(e2,e4),e4) != e2 )
| ( op(op(e3,e0),e0) != e3 )
| ( op(op(e3,e1),e1) != e3 )
| ( op(op(e3,e2),e2) != e3 )
| ( op(e1,e4) != e3 )
| ( op(op(e4,e0),e0) != e4 )
| ( op(op(e4,e1),e1) != e4 )
| ( op(op(e4,e2),e2) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_389398,c_384893]) ).
tff(c_389424,plain,
op(op(e4,e2),e2) != e4,
inference(splitLeft,[status(thm)],[c_389423]) ).
tff(c_390959,plain,
op(e0,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_390940,c_389424]) ).
tff(c_391004,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_134]) ).
tff(c_391005,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_390959,c_365453,c_391004]) ).
tff(c_391006,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_391005]) ).
tff(c_391010,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_391006,c_326252]) ).
tff(c_391020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_390880,c_391010]) ).
tff(c_391021,plain,
op(e0,e3) = e4,
inference(splitRight,[status(thm)],[c_391005]) ).
tff(c_390577,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_389398,c_82]) ).
tff(c_390578,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_365899,c_406,c_412,c_390577]) ).
tff(c_390579,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_390578]) ).
tff(c_390582,plain,
op(op(e0,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_390579,c_170]) ).
tff(c_391023,plain,
op(e4,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_391021,c_390582]) ).
tff(c_391033,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_390940,c_391023]) ).
tff(c_391035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_391033]) ).
tff(c_391036,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_390613]) ).
tff(c_391062,plain,
op(e4,e3) = e1,
inference(splitLeft,[status(thm)],[c_391036]) ).
tff(c_391064,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_391062,c_389399]) ).
tff(c_391075,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_391064]) ).
tff(c_391077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_391075]) ).
tff(c_391078,plain,
op(e4,e2) = e1,
inference(splitRight,[status(thm)],[c_391036]) ).
tff(c_391090,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_391078,c_354]) ).
tff(c_390586,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_390579,c_240]) ).
tff(c_391108,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_390586,c_365787,c_18]) ).
tff(c_391109,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_391108]) ).
tff(c_391110,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_391109,c_390563]) ).
tff(c_391120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_391090,c_391110]) ).
tff(c_391121,plain,
op(e3,e1) = e4,
inference(splitRight,[status(thm)],[c_391108]) ).
tff(c_391131,plain,
op(e0,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_391121,c_376]) ).
tff(c_391168,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_233155,c_365882,c_391131,c_48]) ).
tff(c_391169,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_391168]) ).
tff(c_391173,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_391169,c_363963]) ).
tff(c_391181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_391090,c_391173]) ).
tff(c_391182,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_391168]) ).
tff(c_391186,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_391182,c_326252]) ).
tff(c_391199,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_391186,c_391121]) ).
tff(c_391201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_391199]) ).
tff(c_391202,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_390578]) ).
tff(c_391217,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_391202,c_390563]) ).
tff(c_391218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_391217]) ).
tff(c_391220,plain,
op(op(e4,e2),e2) = e4,
inference(splitRight,[status(thm)],[c_389423]) ).
tff(c_392921,plain,
op(e0,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_392919,c_391220]) ).
tff(c_393180,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392921,c_365892,c_392919,c_104]) ).
tff(c_393181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_365879,c_412,c_389405,c_420,c_393180]) ).
tff(c_393183,plain,
op(e3,e4) != e1,
inference(splitRight,[status(thm)],[c_389396]) ).
tff(c_393206,plain,
( ( e4 = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_64]) ).
tff(c_393207,plain,
( ( op(e2,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365876,c_393183,c_408,c_393206]) ).
tff(c_393208,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_393207]) ).
tff(c_393213,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_393208,c_282]) ).
tff(c_393233,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_118]) ).
tff(c_393234,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_365652,c_393233]) ).
tff(c_393235,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_393234]) ).
tff(c_393242,plain,
op(e4,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_393235,c_388]) ).
tff(c_393283,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_365883,c_365787,c_18]) ).
tff(c_393284,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_393283]) ).
tff(c_393250,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_365652,c_34]) ).
tff(c_393251,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_393250]) ).
tff(c_393253,plain,
op(e0,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393251,c_168]) ).
tff(c_393285,plain,
op(e0,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393284,c_393253]) ).
tff(c_393294,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_393285]) ).
tff(c_393296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_393294]) ).
tff(c_393297,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e4 ) ),
inference(splitRight,[status(thm)],[c_393283]) ).
tff(c_393299,plain,
op(e3,e1) = e4,
inference(splitLeft,[status(thm)],[c_393297]) ).
tff(c_393301,plain,
op(e0,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393299,c_393253]) ).
tff(c_393310,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_393208,c_393301]) ).
tff(c_393312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_393310]) ).
tff(c_393313,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_393297]) ).
tff(c_393317,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393313,c_393253]) ).
tff(c_393333,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_393317,c_384894]) ).
tff(c_393182,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_389396]) ).
tff(c_393358,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_393333,c_393182]) ).
tff(c_393360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_393358]) ).
tff(c_393361,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_393250]) ).
tff(c_393371,plain,
op(e1,e3) = e4,
inference(splitLeft,[status(thm)],[c_393361]) ).
tff(c_393386,plain,
( ( op(e1,e4) = e0 )
| ( e4 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393235,c_365874,c_393371,c_130]) ).
tff(c_393387,plain,
( ( op(e1,e4) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_420,c_414,c_393386]) ).
tff(c_393388,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_393387]) ).
tff(c_393463,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_393242,c_365767,c_10]) ).
tff(c_393464,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_393463]) ).
tff(c_393209,plain,
op(e1,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_393208,c_160]) ).
tff(c_393466,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_393464,c_393209]) ).
tff(c_393475,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_393466]) ).
tff(c_393477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_393475]) ).
tff(c_393478,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_393463]) ).
tff(c_393482,plain,
op(e1,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_393478,c_393209]) ).
tff(c_393491,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_393388,c_393482]) ).
tff(c_393493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_393491]) ).
tff(c_393494,plain,
op(e1,e4) = e0,
inference(splitRight,[status(thm)],[c_393387]) ).
tff(c_393502,plain,
op(e3,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_393494,c_310]) ).
tff(c_393512,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_365783,c_90]) ).
tff(c_393513,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_252828,c_420,c_416,c_393502,c_393512]) ).
tff(c_393374,plain,
op(e4,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393371,c_168]) ).
tff(c_393527,plain,
op(e4,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393513,c_393374]) ).
tff(c_393528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_393242,c_393527]) ).
tff(c_393529,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_393361]) ).
tff(c_393191,plain,
op(e4,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_342]) ).
tff(c_393666,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_66]) ).
tff(c_393667,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365881,c_393191,c_408,c_393666]) ).
tff(c_393668,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_393667]) ).
tff(c_393670,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_393668,c_393209]) ).
tff(c_393679,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_393670]) ).
tff(c_393681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_393679]) ).
tff(c_393682,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_393667]) ).
tff(c_393688,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_393682,c_378682]) ).
tff(c_393696,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_393529,c_393688]) ).
tff(c_393698,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_393696]) ).
tff(c_393699,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_393234]) ).
tff(c_393701,plain,
op(e1,e4) = e3,
inference(splitLeft,[status(thm)],[c_393699]) ).
tff(c_393894,plain,
( ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_393701,c_130]) ).
tff(c_393895,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85117,c_420,c_416,c_393894]) ).
tff(c_393896,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_393895]) ).
tff(c_393723,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_110]) ).
tff(c_393724,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_418,c_393723]) ).
tff(c_393725,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_393724]) ).
tff(c_393726,plain,
op(e0,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_393725,c_186]) ).
tff(c_393897,plain,
op(e0,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_393896,c_393726]) ).
tff(c_393906,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_393897]) ).
tff(c_393908,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_393906]) ).
tff(c_393909,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_393895]) ).
tff(c_393731,plain,
op(e2,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_393725,c_248]) ).
tff(c_393850,plain,
( ( e4 = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393208,c_393701,c_365449,c_68]) ).
tff(c_393851,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_420,c_416,c_393731,c_414,c_393850]) ).
tff(c_393700,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_393234]) ).
tff(c_393740,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_365783,c_82]) ).
tff(c_393741,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_406,c_393740]) ).
tff(c_393742,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_393741]) ).
tff(c_393751,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_393742,c_234]) ).
tff(c_393837,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_393183,c_393751,c_365789,c_365451,c_12]) ).
tff(c_393765,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_66]) ).
tff(c_393766,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365881,c_393191,c_408,c_393765]) ).
tff(c_393767,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_393766]) ).
tff(c_393769,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_393767,c_393209]) ).
tff(c_393778,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_393769]) ).
tff(c_393780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_393778]) ).
tff(c_393781,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_393766]) ).
tff(c_393786,plain,
op(e1,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393781,c_162]) ).
tff(c_393839,plain,
op(e1,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393837,c_393786]) ).
tff(c_393847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_393700,c_393839]) ).
tff(c_393848,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_393741]) ).
tff(c_393880,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393851,c_393848]) ).
tff(c_393881,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_393880]) ).
tff(c_393885,plain,
op(op(e1,e3),e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393881,c_168]) ).
tff(c_393936,plain,
op(e0,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393909,c_393885]) ).
tff(c_393938,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_393936,c_384894]) ).
tff(c_393949,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_393938,c_393182]) ).
tff(c_393951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_393949]) ).
tff(c_393952,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e4) = e0 ) ),
inference(splitRight,[status(thm)],[c_393724]) ).
tff(c_393954,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_393952]) ).
tff(c_393962,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_393954,c_242]) ).
tff(c_393977,plain,
( ( op(e4,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_88]) ).
tff(c_393978,plain,
( ( op(e4,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_252838,c_393962,c_416,c_393977]) ).
tff(c_393979,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_393978]) ).
tff(c_394059,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365449,c_66]) ).
tff(c_394060,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_365881,c_393191,c_408,c_394059]) ).
tff(c_394061,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_394060]) ).
tff(c_394062,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_394061,c_393209]) ).
tff(c_394072,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_365874,c_394062]) ).
tff(c_394074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_394072]) ).
tff(c_394075,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_394060]) ).
tff(c_394079,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_394075,c_378682]) ).
tff(c_394088,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_393979,c_394079]) ).
tff(c_394090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414,c_394088]) ).
tff(c_394091,plain,
op(e4,e3) = e0,
inference(splitRight,[status(thm)],[c_393978]) ).
tff(c_394094,plain,
op(e0,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_394091,c_378682]) ).
tff(c_394138,plain,
( ( e3 = e1 )
| ( e4 = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_394094,c_393208,c_138]) ).
tff(c_394139,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_402,c_410,c_394138]) ).
tff(c_394140,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_394139]) ).
tff(c_394146,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_394140,c_363963]) ).
tff(c_394168,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_394146,c_394094]) ).
tff(c_394170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_394168]) ).
tff(c_394171,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_394139]) ).
tff(c_394175,plain,
op(e3,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_394171,c_384894]) ).
tff(c_394187,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_394175,c_393182]) ).
tff(c_394189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_420,c_394187]) ).
tff(c_394190,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_393952]) ).
tff(c_393185,plain,
op(op(e2,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_166]) ).
tff(c_394193,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_394190,c_393185]) ).
tff(c_394222,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_394193,c_363963]) ).
tff(c_394230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_393213,c_394222]) ).
tff(c_394231,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_393699]) ).
tff(c_394238,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_394231,c_360]) ).
tff(c_394756,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_393208,c_138]) ).
tff(c_394757,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_416,c_394238,c_365788,c_410,c_394756]) ).
tff(c_394762,plain,
op(e0,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_394757,c_363963]) ).
tff(c_394770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_393213,c_394762]) ).
tff(c_394772,plain,
op(e0,e4) != e1,
inference(splitRight,[status(thm)],[c_393207]) ).
tff(c_395820,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_365783,c_82]) ).
tff(c_395821,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_406,c_395820]) ).
tff(c_395822,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_395821]) ).
tff(c_395853,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_395822,c_393182,c_365783,c_90]) ).
tff(c_395854,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_418,c_420,c_416,c_395853]) ).
tff(c_395855,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_395854]) ).
tff(c_394771,plain,
op(e2,e4) = e1,
inference(splitRight,[status(thm)],[c_393207]) ).
tff(c_394780,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_394771,c_242]) ).
tff(c_394797,plain,
( ( op(e4,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365783,c_84]) ).
tff(c_394798,plain,
( ( op(e4,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_394780,c_410,c_394797]) ).
tff(c_394799,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_394798]) ).
tff(c_394803,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_394799,c_334]) ).
tff(c_393188,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_356]) ).
tff(c_394846,plain,
( ( op(e3,e4) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_365783,c_82]) ).
tff(c_394847,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_406,c_394846]) ).
tff(c_394848,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_394847]) ).
tff(c_394801,plain,
op(e1,op(e3,e0)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_394799,c_170]) ).
tff(c_394849,plain,
op(e1,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_394848,c_394801]) ).
tff(c_394897,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_394849,c_348]) ).
tff(c_395060,plain,
op(e4,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_393191,c_365901,c_394897,c_365781,c_6]) ).
tff(c_394777,plain,
op(op(e4,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_394771,c_172]) ).
tff(c_395062,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_395060,c_394777]) ).
tff(c_395080,plain,
op(e0,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_395062,c_363963]) ).
tff(c_395085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_393188,c_395080]) ).
tff(c_395086,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_394847]) ).
tff(c_395088,plain,
op(e3,e4) = e2,
inference(splitLeft,[status(thm)],[c_395086]) ).
tff(c_395169,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_365783,c_395088,c_90]) ).
tff(c_395170,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_252828,c_420,c_416,c_418,c_395169]) ).
tff(c_395177,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_395170,c_362]) ).
tff(c_395200,plain,
( ( e4 = e2 )
| ( e4 = e3 )
| ( e4 = e1 )
| ( e4 = e0 )
| ( op(e3,e0) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_395170,c_393182,c_365783,c_395088,c_74]) ).
tff(c_395201,plain,
op(e3,e0) = e4,
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_402,c_404,c_395200]) ).
tff(c_394800,plain,
op(op(e3,e0),e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_394799,c_194]) ).
tff(c_395204,plain,
op(e4,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_395201,c_394800]) ).
tff(c_395211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395177,c_395204]) ).
tff(c_395212,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_395086]) ).
tff(c_395222,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_395212,c_376]) ).
tff(c_395308,plain,
( ( op(e0,e4) = e4 )
| ( e4 = e1 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_394799,c_134]) ).
tff(c_395309,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_414,c_408,c_365453,c_395308]) ).
tff(c_395310,plain,
op(e0,e1) = e4,
inference(splitLeft,[status(thm)],[c_395309]) ).
tff(c_395087,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_394847]) ).
tff(c_394822,plain,
( ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_208865,c_365767,c_10]) ).
tff(c_394823,plain,
op(e4,e0) = e1,
inference(splitLeft,[status(thm)],[c_394822]) ).
tff(c_395237,plain,
( ( e2 = e1 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_252829,c_394823,c_140]) ).
tff(c_395238,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_418,c_365894,c_395087,c_412,c_395237]) ).
tff(c_395239,plain,
op(op(e0,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_395238,c_190]) ).
tff(c_395311,plain,
op(e4,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_395310,c_395239]) ).
tff(c_395322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_393191,c_395311]) ).
tff(c_395323,plain,
op(e0,e2) = e4,
inference(splitRight,[status(thm)],[c_395309]) ).
tff(c_395326,plain,
op(e4,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_395323,c_384894]) ).
tff(c_395339,plain,
op(e0,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_395326,c_394777]) ).
tff(c_395349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395222,c_395339]) ).
tff(c_395350,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_394822]) ).
tff(c_395352,plain,
op(e4,e0) = e3,
inference(splitLeft,[status(thm)],[c_395350]) ).
tff(c_395360,plain,
op(e4,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_395352,c_220]) ).
tff(c_395392,plain,
( ( op(e4,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394799,c_365783,c_80]) ).
tff(c_395393,plain,
( ( op(e4,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_365900,c_406,c_395392]) ).
tff(c_395394,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_395393]) ).
tff(c_395399,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_395394,c_262]) ).
tff(c_395368,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_365892,c_394771,c_110]) ).
tff(c_395369,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164529,c_418,c_420,c_395368]) ).
tff(c_395370,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_395369]) ).
tff(c_395378,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_395370,c_366]) ).
tff(c_395426,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_365783,c_90]) ).
tff(c_395427,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_252828,c_395378,c_420,c_416,c_395426]) ).
tff(c_395453,plain,
( ( e4 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394771,c_395427,c_365449,c_60]) ).
tff(c_395454,plain,
op(e0,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_395399,c_412,c_418,c_404,c_395453]) ).
tff(c_395354,plain,
op(op(e0,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_395352,c_160]) ).
tff(c_395455,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_395454,c_395354]) ).
tff(c_393186,plain,
op(e1,op(e2,e3)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_393182,c_174]) ).
tff(c_395469,plain,
op(e1,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_395455,c_393186]) ).
tff(c_395476,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395399,c_395469]) ).
tff(c_395477,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_395393]) ).
tff(c_395496,plain,
op(e2,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_395477,c_378682]) ).
tff(c_395510,plain,
op(e4,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_395496,c_393185]) ).
tff(c_395516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395360,c_395510]) ).
tff(c_395517,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_395369]) ).
tff(c_395520,plain,
op(e1,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_395517,c_393186]) ).
tff(c_395536,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_395520,c_276]) ).
tff(c_395546,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_255416,c_365652,c_34]) ).
tff(c_395547,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_395546]) ).
tff(c_395527,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_395517,c_332]) ).
tff(c_395574,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_395547,c_395527]) ).
tff(c_395575,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_395546]) ).
tff(c_395621,plain,
op(e1,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_395536,c_395575]) ).
tff(c_395521,plain,
op(e0,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_395517,c_393185]) ).
tff(c_395578,plain,
op(e3,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_395521,c_326252]) ).
tff(c_395592,plain,
op(e0,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_395578,c_184]) ).
tff(c_395622,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_395621,c_395592]) ).
tff(c_395632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_394772,c_395622]) ).
tff(c_395633,plain,
op(e4,e0) = e2,
inference(splitRight,[status(thm)],[c_395350]) ).
tff(c_395787,plain,
( ( e4 = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_395633,c_365449,c_66]) ).
tff(c_395788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_365881,c_393191,c_394803,c_408,c_395787]) ).
tff(c_395789,plain,
op(e4,e3) = e1,
inference(splitRight,[status(thm)],[c_394798]) ).
tff(c_395792,plain,
op(e1,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_395789,c_378682]) ).
tff(c_395807,plain,
op(op(e3,e1),e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_395792,c_184]) ).
tff(c_395905,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_395855,c_395807]) ).
tff(c_395906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_394772,c_395905]) ).
tff(c_395907,plain,
op(e3,e4) = e0,
inference(splitRight,[status(thm)],[c_395854]) ).
tff(c_395793,plain,
op(op(e3,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_395789,c_154]) ).
tff(c_395937,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_395907,c_395793]) ).
tff(c_395940,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_395937,c_363963]) ).
tff(c_395949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_394772,c_395940]) ).
tff(c_395950,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e4) = e2 ) ),
inference(splitRight,[status(thm)],[c_395821]) ).
tff(c_395968,plain,
op(e3,e4) = e2,
inference(splitLeft,[status(thm)],[c_395950]) ).
tff(c_395977,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_395968,c_228]) ).
tff(c_395971,plain,
op(e2,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_395968,c_395793]) ).
tff(c_395991,plain,
op(e3,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_395971,c_366]) ).
tff(c_396014,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_365883,c_395977,c_365787,c_395991,c_18]) ).
tff(c_396017,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_396014,c_395807]) ).
tff(c_396025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_394772,c_396017]) ).
tff(c_396026,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_395950]) ).
tff(c_396065,plain,
( ( op(e3,e4) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396026,c_393182,c_365783,c_90]) ).
tff(c_396066,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_252828,c_418,c_420,c_416,c_396065]) ).
tff(c_396068,plain,
op(e0,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_396066,c_395793]) ).
tff(c_396085,plain,
op(e0,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_396068,c_363963]) ).
tff(c_396093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_394772,c_396085]) ).
tff(c_396094,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_365873]) ).
tff(c_396098,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396094,c_252]) ).
tff(c_396109,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_396098,c_365785,c_365780]) ).
tff(c_396096,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_396094,c_178]) ).
tff(c_396124,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_396109,c_396109,c_396096]) ).
tff(c_396125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_396124]) ).
tff(c_396127,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_365782]) ).
tff(c_396152,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_396131,c_396127,c_255415]) ).
tff(c_396160,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396152,c_246]) ).
tff(c_396158,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396152,c_250]) ).
tff(c_396170,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_396158,c_365446]) ).
tff(c_396171,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_396170]) ).
tff(c_396176,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_396171,c_272]) ).
tff(c_396190,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_396176,c_396160,c_365780]) ).
tff(c_396185,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_396152,c_174]) ).
tff(c_396191,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_396190,c_396190,c_396185]) ).
tff(c_396201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_396191]) ).
tff(c_396202,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_396170]) ).
tff(c_396126,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_365782]) ).
tff(c_396313,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396202,c_396126]) ).
tff(c_396314,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_396313]) ).
tff(c_396245,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_396152,c_174]) ).
tff(c_396316,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_396314,c_396245]) ).
tff(c_396326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_396160,c_396316]) ).
tff(c_396327,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_397512,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396330,c_396327]) ).
tff(c_397513,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_397512]) ).
tff(c_397514,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_397513]) ).
tff(c_397518,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_397514,c_244]) ).
tff(c_397520,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_397514,c_248]) ).
tff(c_397531,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_397520,c_365446]) ).
tff(c_397532,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_397531]) ).
tff(c_397538,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_397532,c_368]) ).
tff(c_396334,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_396330,c_310]) ).
tff(c_396343,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_396334,c_252827]) ).
tff(c_396344,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_396343]) ).
tff(c_396349,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_396344,c_222]) ).
tff(c_396703,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396330,c_396327]) ).
tff(c_396704,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_396349,c_396703]) ).
tff(c_396347,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_396344,c_230]) ).
tff(c_396613,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_396347,c_365446]) ).
tff(c_396614,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_396613]) ).
tff(c_396620,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_396614,c_372]) ).
tff(c_396636,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396330,c_396327]) ).
tff(c_396637,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_396349,c_396636]) ).
tff(c_396642,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396637,c_244]) ).
tff(c_396336,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_396330,c_312]) ).
tff(c_396526,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_396336,c_164528]) ).
tff(c_396527,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_396526]) ).
tff(c_396540,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396527,c_396344,c_326]) ).
tff(c_396541,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_396526]) ).
tff(c_396687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_396620,c_396642,c_396541]) ).
tff(c_396688,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_396613]) ).
tff(c_396693,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396688,c_248]) ).
tff(c_396720,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396704,c_396693]) ).
tff(c_396722,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_396343]) ).
tff(c_396328,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_396723,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_396328,c_208864]) ).
tff(c_396724,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_396723]) ).
tff(c_396840,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396724,c_255415]) ).
tff(c_396841,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_396722,c_396840]) ).
tff(c_396847,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396841,c_242]) ).
tff(c_396735,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_396724,c_324]) ).
tff(c_396749,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_396336,c_396735,c_164528]) ).
tff(c_396750,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_396749]) ).
tff(c_396758,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396750,c_246]) ).
tff(c_396798,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396724,c_255415]) ).
tff(c_396799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_396722,c_396758,c_396798]) ).
tff(c_396800,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_396749]) ).
tff(c_396805,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_396800,c_372]) ).
tff(c_396871,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396800,c_365446]) ).
tff(c_396872,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_396805,c_412,c_396871]) ).
tff(c_396878,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_396872,c_228]) ).
tff(c_396905,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396330,c_396327]) ).
tff(c_396906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_396847,c_396878,c_396905]) ).
tff(c_396907,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_396723]) ).
tff(c_397674,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_397538,c_396907]) ).
tff(c_397624,plain,
op(op(e4,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_397514,c_172]) ).
tff(c_397676,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_397674,c_397624]) ).
tff(c_397686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_397518,c_397676]) ).
tff(c_397688,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_397531]) ).
tff(c_397366,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396330,c_396327]) ).
tff(c_397367,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_397366]) ).
tff(c_397368,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_397367]) ).
tff(c_397373,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_397368,c_244]) ).
tff(c_397461,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_396907]) ).
tff(c_397203,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_396330,c_158]) ).
tff(c_397463,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_397461,c_397461,c_397203]) ).
tff(c_397473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_397463]) ).
tff(c_397474,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_396907]) ).
tff(c_397369,plain,
op(op(e4,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_397368,c_172]) ).
tff(c_397478,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_397474,c_397369]) ).
tff(c_397487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_397373,c_397478]) ).
tff(c_397488,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_397367]) ).
tff(c_397167,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_396336,c_164528]) ).
tff(c_397168,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_397167]) ).
tff(c_397189,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_397168,c_255415]) ).
tff(c_397190,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_396722,c_406,c_397189]) ).
tff(c_397348,plain,
op(op(e3,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_397190,c_154]) ).
tff(c_397491,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_397488,c_397488,c_397348]) ).
tff(c_397501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_397491]) ).
tff(c_397502,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_397167]) ).
tff(c_397813,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_397518,c_397502]) ).
tff(c_397687,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_397531]) ).
tff(c_397692,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_397687,c_232]) ).
tff(c_396910,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_396922,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_396910,c_206]) ).
tff(c_396984,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_396922,c_396722,c_255415]) ).
tff(c_396990,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396984,c_242]) ).
tff(c_397150,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396330,c_396327]) ).
tff(c_397151,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_396990,c_397150]) ).
tff(c_396993,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396984,c_246]) ).
tff(c_396991,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_396984,c_250]) ).
tff(c_397003,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_396991,c_365446]) ).
tff(c_397004,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_397003]) ).
tff(c_397013,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_397004,c_370]) ).
tff(c_396721,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_396343]) ).
tff(c_397122,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_397013,c_396721]) ).
tff(c_396985,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_396984,c_174]) ).
tff(c_397125,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_397122,c_396985]) ).
tff(c_397134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_396993,c_397125]) ).
tff(c_397135,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_397003]) ).
tff(c_397142,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_397135,c_228]) ).
tff(c_397164,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_397151,c_397142]) ).
tff(c_397165,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_397715,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_397518,c_397692,c_397165]) ).
tff(c_397716,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_397715,c_186]) ).
tff(c_397815,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_397813,c_397716]) ).
tff(c_397825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_397688,c_397815]) ).
tff(c_397826,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_397513]) ).
tff(c_397830,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_397826,c_228]) ).
tff(c_397844,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_397830,c_365446]) ).
tff(c_397845,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_397844]) ).
tff(c_397849,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_397845,c_272]) ).
tff(c_397831,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_397826,c_224]) ).
tff(c_397907,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_397849,c_397831,c_397165]) ).
tff(c_397867,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_396722,c_255415]) ).
tff(c_397868,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_397867]) ).
tff(c_397890,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_397826,c_397868,c_397826,c_154]) ).
tff(c_397891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_397890]) ).
tff(c_397892,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_397867]) ).
tff(c_397901,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_397892,c_246]) ).
tff(c_397920,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_397907,c_397901]) ).
tff(c_397921,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_397844]) ).
tff(c_397925,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_397921,c_252]) ).
tff(c_397959,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_397925,c_397831,c_397165]) ).
tff(c_397923,plain,
op(e2,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_397921,c_186]) ).
tff(c_397960,plain,
op(e2,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_397959,c_397923]) ).
tff(c_397973,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_397960,c_397921]) ).
tff(c_397975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_397973]) ).
tff(c_397976,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_401874,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_397976]) ).
tff(c_401881,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_401874,c_368]) ).
tff(c_399499,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_396328,c_208864]) ).
tff(c_399500,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_399499]) ).
tff(c_399502,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_399500,c_322]) ).
tff(c_400043,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_399500,c_255415]) ).
tff(c_400044,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_402,c_399502,c_400043]) ).
tff(c_400051,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_400044,c_250]) ).
tff(c_400067,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_400051,c_365446]) ).
tff(c_400068,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_400067]) ).
tff(c_400070,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_400068,c_268]) ).
tff(c_400050,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_400044,c_242]) ).
tff(c_400085,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_400070,c_400050,c_396327]) ).
tff(c_400013,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_399500,c_162]) ).
tff(c_400086,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_400085,c_400013]) ).
tff(c_400097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399502,c_400086]) ).
tff(c_400099,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_400067]) ).
tff(c_399504,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_399500,c_328]) ).
tff(c_400144,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_400099,c_399504,c_397976]) ).
tff(c_400148,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_400144,c_350]) ).
tff(c_400098,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_400067]) ).
tff(c_398892,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_397976]) ).
tff(c_398895,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_398892,c_268]) ).
tff(c_397979,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_398910,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_397979,c_396327]) ).
tff(c_398911,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_398895,c_402,c_398910]) ).
tff(c_398914,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_398911,c_242]) ).
tff(c_398897,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_398892,c_272]) ).
tff(c_398915,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_398911,c_244]) ).
tff(c_398345,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_398371,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_397976]) ).
tff(c_398373,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_398371,c_268]) ).
tff(c_398388,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_397979,c_396327]) ).
tff(c_398389,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_398373,c_402,c_398388]) ).
tff(c_398468,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_398345,c_398389,c_398345,c_172]) ).
tff(c_398469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_398468]) ).
tff(c_398471,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_397976]) ).
tff(c_397992,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_396328,c_208864]) ).
tff(c_397993,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_397992]) ).
tff(c_398059,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_397993,c_397993,c_397979,c_154]) ).
tff(c_398060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_398059]) ).
tff(c_398061,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_397992]) ).
tff(c_398721,plain,
( ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_398345,c_398061]) ).
tff(c_398722,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_398721]) ).
tff(c_398649,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_397979,c_396327]) ).
tff(c_398650,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_398649]) ).
tff(c_398651,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_398650]) ).
tff(c_398735,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_398722,c_398651,c_182]) ).
tff(c_398736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_398471,c_398735]) ).
tff(c_398737,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_398650]) ).
tff(c_398346,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_398345,c_206]) ).
tff(c_398472,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_398346,c_255415]) ).
tff(c_398473,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_398472]) ).
tff(c_398480,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_398473,c_230]) ).
tff(c_398495,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_398471,c_398480,c_365446]) ).
tff(c_398497,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_398495,c_252]) ).
tff(c_397986,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_397979,c_306]) ).
tff(c_398063,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_397986,c_164528]) ).
tff(c_398064,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_398063]) ).
tff(c_398238,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_398064,c_326]) ).
tff(c_398329,plain,
( ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_398064,c_255415]) ).
tff(c_398330,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_398238,c_406,c_398329]) ).
tff(c_398324,plain,
op(e4,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_397979,c_154]) ).
tff(c_398331,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_398330,c_398324]) ).
tff(c_398342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_396328,c_398331]) ).
tff(c_398343,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_398063]) ).
tff(c_398615,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_398495,c_398343]) ).
tff(c_398616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_398497,c_398615]) ).
tff(c_398617,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_398472]) ).
tff(c_398623,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_398617,c_242]) ).
tff(c_398763,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_398737,c_398623]) ).
tff(c_398764,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_398972,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_398897,c_398915,c_398764]) ).
tff(c_398980,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_398972,c_226]) ).
tff(c_397984,plain,
op(e3,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_397979,c_222]) ).
tff(c_398800,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_255415]) ).
tff(c_398778,plain,
op(op(e4,e3),e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_397979,c_162]) ).
tff(c_398801,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_398800,c_398778]) ).
tff(c_398880,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_398801,c_398801,c_152]) ).
tff(c_398881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_397984,c_398880]) ).
tff(c_398882,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_255415]) ).
tff(c_399014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_398914,c_398980,c_398882]) ).
tff(c_399016,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_397976]) ).
tff(c_399058,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_399016,c_365446]) ).
tff(c_399059,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_399058]) ).
tff(c_399061,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_399059,c_252]) ).
tff(c_399151,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_399059,c_398343]) ).
tff(c_399152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_399061,c_399151]) ).
tff(c_399153,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_399058]) ).
tff(c_399161,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_399153,c_232]) ).
tff(c_399029,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_397979,c_396327]) ).
tff(c_399030,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_399029]) ).
tff(c_399031,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_399030]) ).
tff(c_399037,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_399031,c_264]) ).
tff(c_399169,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_399037,c_398764]) ).
tff(c_399170,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_399169]) ).
tff(c_399177,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_399170,c_246]) ).
tff(c_399162,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_399153,c_230]) ).
tff(c_399237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399177,c_399162,c_398882]) ).
tff(c_399238,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_399169]) ).
tff(c_399240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399161,c_399238]) ).
tff(c_399241,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_399030]) ).
tff(c_399245,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_399241,c_242]) ).
tff(c_399255,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_399016,c_365446]) ).
tff(c_399256,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_399255]) ).
tff(c_399248,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_399241,c_248]) ).
tff(c_399286,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_399256,c_399248]) ).
tff(c_399287,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_399255]) ).
tff(c_399296,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_399287,c_230]) ).
tff(c_399496,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399245,c_399296,c_398882]) ).
tff(c_399497,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_400175,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_400098,c_399497]) ).
tff(c_400176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_400148,c_399502,c_400175]) ).
tff(c_400177,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_399499]) ).
tff(c_401888,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_401881,c_400177]) ).
tff(c_401893,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_401888,c_204]) ).
tff(c_401877,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_401874,c_268]) ).
tff(c_401904,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_401877,c_396327]) ).
tff(c_401905,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_401904]) ).
tff(c_401889,plain,
op(op(e2,e4),e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_401888,c_156]) ).
tff(c_401921,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_401905,c_401889]) ).
tff(c_401923,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_401921,c_401921,c_176]) ).
tff(c_401931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_401893,c_401923]) ).
tff(c_401932,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_401904]) ).
tff(c_401940,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_401932,c_224]) ).
tff(c_401897,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_401888,c_344]) ).
tff(c_400195,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_400196,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_400195,c_206]) ).
tff(c_400435,plain,
( ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_400196,c_255415]) ).
tff(c_400436,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_400435]) ).
tff(c_400439,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_400436,c_330]) ).
tff(c_400488,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_400439,c_397976]) ).
tff(c_400489,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_400488]) ).
tff(c_400492,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_400489,c_268]) ).
tff(c_400444,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_400436,c_222]) ).
tff(c_400507,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_400492,c_400444,c_396327]) ).
tff(c_400479,plain,
op(op(e2,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_400195,c_156]) ).
tff(c_400508,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_400507,c_400507,c_400479]) ).
tff(c_400520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_400508]) ).
tff(c_400521,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_400488]) ).
tff(c_400530,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_400521,c_272]) ).
tff(c_400522,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_400488]) ).
tff(c_400442,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_400436,c_230]) ).
tff(c_400566,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_400522,c_400442,c_365446]) ).
tff(c_400524,plain,
op(op(e2,e1),e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_400521,c_186]) ).
tff(c_400567,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_400566,c_400524]) ).
tff(c_400581,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_400567,c_400567,c_176]) ).
tff(c_400589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_400530,c_400581]) ).
tff(c_400590,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_400435]) ).
tff(c_400599,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_400590,c_246]) ).
tff(c_400591,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_400435]) ).
tff(c_400605,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_400591,c_399497]) ).
tff(c_400606,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_400605]) ).
tff(c_400615,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_400606,c_370]) ).
tff(c_400597,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_400590,c_250]) ).
tff(c_400672,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_400606,c_365446]) ).
tff(c_400673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_400615,c_400597,c_410,c_400672]) ).
tff(c_400674,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_400605]) ).
tff(c_400592,plain,
op(op(e3,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_400590,c_174]) ).
tff(c_400703,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_400674,c_400592]) ).
tff(c_400704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_400599,c_400703]) ).
tff(c_400705,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_401448,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_400705]) ).
tff(c_401454,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_401448,c_272]) ).
tff(c_401681,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_401448,c_397976]) ).
tff(c_401682,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_401454,c_412,c_401681]) ).
tff(c_401687,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_401682,c_270]) ).
tff(c_401614,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_401454,c_365446]) ).
tff(c_401615,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_401614]) ).
tff(c_401677,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_401448,c_401615,c_401448,c_178]) ).
tff(c_401678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_401677]) ).
tff(c_401679,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_401614]) ).
tff(c_401683,plain,
op(op(e3,e1),e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_401682,c_184]) ).
tff(c_401729,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_401679,c_401683]) ).
tff(c_401731,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_401729,c_401729,c_164]) ).
tff(c_401739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_401687,c_401731]) ).
tff(c_401740,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_400705]) ).
tff(c_402019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_401940,c_401897,c_401740]) ).
tff(c_402021,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_397976]) ).
tff(c_400707,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_400873,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_400707,c_396327]) ).
tff(c_400874,plain,
( ( op(e3,e4) = e3 )
| ( op(e1,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_400873]) ).
tff(c_400875,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_400874]) ).
tff(c_400880,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_400875,c_264]) ).
tff(c_400729,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_397976]) ).
tff(c_400733,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_400729,c_272]) ).
tff(c_400731,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_400729,c_268]) ).
tff(c_400746,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_400707,c_396327]) ).
tff(c_400747,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_400731,c_404,c_400746]) ).
tff(c_400754,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_400747,c_222]) ).
tff(c_400808,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_400754,c_255415]) ).
tff(c_400809,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_400808]) ).
tff(c_400775,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_400747,c_162]) ).
tff(c_400810,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_400809,c_400809,c_400775]) ).
tff(c_400822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_400810]) ).
tff(c_400823,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_400808]) ).
tff(c_400832,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_400823,c_246]) ).
tff(c_400753,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_400747,c_224]) ).
tff(c_400838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_400733,c_400832,c_400753,c_400705]) ).
tff(c_400840,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_397976]) ).
tff(c_400902,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_400840,c_365446]) ).
tff(c_400903,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_400902]) ).
tff(c_400907,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_400903,c_252]) ).
tff(c_400954,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_400880,c_400907,c_400705]) ).
tff(c_400960,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_400954,c_226]) ).
tff(c_400972,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_400954,c_399497]) ).
tff(c_400973,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_400960,c_400972]) ).
tff(c_400977,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_400973,c_362]) ).
tff(c_401026,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_400977,c_400177]) ).
tff(c_400897,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_400707,c_156]) ).
tff(c_401029,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_401026,c_401026,c_400897]) ).
tff(c_401038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_401029]) ).
tff(c_401039,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_400902]) ).
tff(c_401045,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_401039,c_232]) ).
tff(c_401070,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_400880,c_400705]) ).
tff(c_401071,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_401070]) ).
tff(c_401077,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_401071,c_346]) ).
tff(c_401047,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_401039,c_230]) ).
tff(c_401088,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_401039,c_399497]) ).
tff(c_401089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_401077,c_401047,c_401088]) ).
tff(c_401090,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_401070]) ).
tff(c_401092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_401045,c_401090]) ).
tff(c_401093,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_400874]) ).
tff(c_401099,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_401093,c_228]) ).
tff(c_401101,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_401093,c_222]) ).
tff(c_401108,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_400840,c_365446]) ).
tff(c_401109,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_401108]) ).
tff(c_401115,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_401109,c_250]) ).
tff(c_401123,plain,
op(e4,e3) = e4,
inference(negUnitSimplification,[status(thm)],[c_401101,c_401115,c_255415]) ).
tff(c_401095,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_401093,c_162]) ).
tff(c_401141,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_401123,c_401123,c_401095]) ).
tff(c_401142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_401141]) ).
tff(c_401143,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_401108]) ).
tff(c_401164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_401099,c_401143]) ).
tff(c_401165,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_401750,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_401165]) ).
tff(c_401755,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_401750,c_372]) ).
tff(c_401768,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_401755,c_397976]) ).
tff(c_401769,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_401768]) ).
tff(c_401751,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_401750,c_178]) ).
tff(c_401770,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_401769,c_401751]) ).
tff(c_401780,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_401750,c_401770]) ).
tff(c_401782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_401780]) ).
tff(c_401783,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_401768]) ).
tff(c_401787,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_401783,c_330]) ).
tff(c_401826,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_401750,c_365446]) ).
tff(c_401827,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_401755,c_412,c_401826]) ).
tff(c_401785,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_401783,c_168]) ).
tff(c_401829,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_401827,c_401785]) ).
tff(c_401839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_401787,c_401829]) ).
tff(c_401840,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_401165]) ).
tff(c_402022,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_401840]) ).
tff(c_402025,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_402022,c_326]) ).
tff(c_401200,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_399497]) ).
tff(c_401209,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_401200,c_370]) ).
tff(c_401203,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_401200,c_366]) ).
tff(c_401289,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_401203,c_401165]) ).
tff(c_401290,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_401289]) ).
tff(c_401291,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_401290,c_352]) ).
tff(c_401303,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_401209,c_401291,c_397976]) ).
tff(c_401201,plain,
op(op(e1,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_401200,c_168]) ).
tff(c_401317,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_401200,c_401303,c_401201]) ).
tff(c_401318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_401317]) ).
tff(c_401320,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_401289]) ).
tff(c_401319,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_401289]) ).
tff(c_401345,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_401319,c_332]) ).
tff(c_401383,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_401209,c_401345,c_397976]) ).
tff(c_401350,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_401200,c_365446]) ).
tff(c_401351,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_401209,c_410,c_401350]) ).
tff(c_401428,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_401383,c_401351,c_178]) ).
tff(c_401429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_401320,c_401428]) ).
tff(c_401430,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_399497]) ).
tff(c_402120,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402025,c_401430]) ).
tff(c_402023,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_402022,c_166]) ).
tff(c_402122,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_402120,c_402120,c_402023]) ).
tff(c_402132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_402122]) ).
tff(c_402133,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_401840]) ).
tff(c_402140,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_402133,c_252]) ).
tff(c_402256,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_402021,c_402140,c_365446]) ).
tff(c_402139,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_402133,c_244]) ).
tff(c_402143,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_402133,c_344]) ).
tff(c_402225,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_402143,c_400177]) ).
tff(c_402148,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_396327]) ).
tff(c_402150,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_402148,c_182]) ).
tff(c_402227,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_402225,c_402150]) ).
tff(c_402237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402021,c_402227]) ).
tff(c_402238,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(splitRight,[status(thm)],[c_396327]) ).
tff(c_402240,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_402139,c_402238]) ).
tff(c_402246,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_402240,c_228]) ).
tff(c_402272,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402256,c_402246]) ).
tff(c_402273,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e4 ) ),
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_422740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422342,c_422640,c_422681,c_422697,c_402273]) ).
tff(c_422741,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_422679]) ).
tff(c_422751,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_422741,c_372]) ).
tff(c_422756,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_422741,c_233154]) ).
tff(c_422757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422650,c_422639,c_412,c_422751,c_422756]) ).
tff(c_422759,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_422634]) ).
tff(c_412813,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_412818,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_412813,c_220]) ).
tff(c_402274,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_402284,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402274,c_444]) ).
tff(c_402285,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_402284]) ).
tff(c_406652,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_402285,c_278]) ).
tff(c_403292,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_402285,c_274]) ).
tff(c_402302,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_50475]) ).
tff(c_402306,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_402302,c_314]) ).
tff(c_402275,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_438]) ).
tff(c_403015,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_403016,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402306,c_416,c_403015]) ).
tff(c_403017,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_403016]) ).
tff(c_403020,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_403017,c_358]) ).
tff(c_402301,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_402285,c_280]) ).
tff(c_402961,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402301,c_233154]) ).
tff(c_402962,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_402961]) ).
tff(c_403010,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402962,c_402302,c_208]) ).
tff(c_403011,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_402961]) ).
tff(c_403055,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_403011]) ).
tff(c_402305,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_402302,c_308]) ).
tff(c_402303,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_402302,c_304]) ).
tff(c_402313,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402303,c_164528]) ).
tff(c_402314,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_402313]) ).
tff(c_402318,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_402314,c_332]) ).
tff(c_402538,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_402539,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402306,c_416,c_402538]) ).
tff(c_402540,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_402539]) ).
tff(c_402545,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_402540,c_360]) ).
tff(c_402553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402305,c_402318,c_402545,c_402301,c_85116]) ).
tff(c_402554,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_402539]) ).
tff(c_402563,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_402554,c_376]) ).
tff(c_402568,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402305,c_402318,c_402301,c_85116]) ).
tff(c_402569,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_402568,c_352]) ).
tff(c_402627,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402568,c_130109]) ).
tff(c_402628,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402569,c_412,c_402627]) ).
tff(c_402629,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_402628]) ).
tff(c_402649,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402629,c_402302,c_204]) ).
tff(c_402650,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_402628]) ).
tff(c_402304,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_402302,c_302]) ).
tff(c_402325,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402304,c_252827]) ).
tff(c_402326,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_402325]) ).
tff(c_402532,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402314,c_402326,c_326]) ).
tff(c_402533,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_402325]) ).
tff(c_402670,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402650,c_402533]) ).
tff(c_402671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402563,c_406,c_402670]) ).
tff(c_402672,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_402313]) ).
tff(c_403144,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_403055,c_402672]) ).
tff(c_403145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_403020,c_403144]) ).
tff(c_403146,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_403011]) ).
tff(c_403151,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_403146,c_232]) ).
tff(c_402922,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_402285,c_278]) ).
tff(c_402924,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402922,c_130109]) ).
tff(c_402925,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_402924]) ).
tff(c_402958,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402925,c_402302,c_204]) ).
tff(c_402959,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_402924]) ).
tff(c_403164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_403020,c_403151,c_402959]) ).
tff(c_403165,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_403016]) ).
tff(c_403174,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_403165,c_376]) ).
tff(c_403201,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_403011]) ).
tff(c_403204,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_403201,c_252]) ).
tff(c_403218,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_403204,c_402959]) ).
tff(c_402675,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_402304,c_252827]) ).
tff(c_402676,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_402675]) ).
tff(c_402835,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_402676,c_330]) ).
tff(c_402867,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_402305,c_402835,c_402301,c_85116]) ).
tff(c_402871,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_402867,c_352]) ).
tff(c_402677,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_402676,c_226]) ).
tff(c_402687,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402677,c_130109]) ).
tff(c_402688,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_402687]) ).
tff(c_402830,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402302,c_402688,c_204]) ).
tff(c_402831,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_402687]) ).
tff(c_402918,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402867,c_402831]) ).
tff(c_402919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_402871,c_402918]) ).
tff(c_402920,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_402675]) ).
tff(c_403240,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_403218,c_402920]) ).
tff(c_403241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_403174,c_406,c_403240]) ).
tff(c_403242,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_403011]) ).
tff(c_403248,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_403242,c_232]) ).
tff(c_403265,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_403248,c_402959]) ).
tff(c_403271,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_403265,c_346]) ).
tff(c_403287,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_403242,c_402920]) ).
tff(c_403288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_403271,c_403287]) ).
tff(c_403289,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_407167,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_403292,c_403289]) ).
tff(c_407168,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_407167]) ).
tff(c_407170,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_407168,c_244]) ).
tff(c_404217,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_402285,c_278]) ).
tff(c_403295,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_403301,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_403295,c_318]) ).
tff(c_404231,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_404232,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_403301,c_416,c_404231]) ).
tff(c_404233,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_404232]) ).
tff(c_404236,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_404233,c_358]) ).
tff(c_403900,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_403903,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_403900,c_344]) ).
tff(c_404028,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_403295,c_403900,c_172]) ).
tff(c_404063,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_404028,c_404028,c_152]) ).
tff(c_404064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_403903,c_404063]) ).
tff(c_404065,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_404266,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_404217,c_404236,c_404065]) ).
tff(c_404274,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_404266,c_224]) ).
tff(c_404298,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_403295,c_403289]) ).
tff(c_404299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_403292,c_404,c_404274,c_404298]) ).
tff(c_404300,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_404232]) ).
tff(c_404309,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_404300,c_376]) ).
tff(c_404342,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_404217,c_404065]) ).
tff(c_404343,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_404342]) ).
tff(c_404349,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_404343,c_346]) ).
tff(c_403299,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_403295,c_306]) ).
tff(c_403307,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_403299,c_252827]) ).
tff(c_403308,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_403307]) ).
tff(c_403313,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_403308,c_222]) ).
tff(c_403895,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_403295,c_403289]) ).
tff(c_403896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_403292,c_404,c_403313,c_403895]) ).
tff(c_403897,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_403307]) ).
tff(c_404398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404309,c_404349,c_403897]) ).
tff(c_404399,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_404342]) ).
tff(c_404409,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_404399,c_224]) ).
tff(c_404418,plain,
( ( op(e3,e4) = e3 )
| ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_403295,c_403289]) ).
tff(c_404419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_403292,c_404,c_404409,c_404418]) ).
tff(c_404420,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_407186,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_407170,c_404420]) ).
tff(c_407187,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_407186]) ).
tff(c_407196,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_407187,c_366]) ).
tff(c_404423,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_404431,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_404423,c_316]) ).
tff(c_405088,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_405089,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_404431,c_416,c_405088]) ).
tff(c_405090,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_405089]) ).
tff(c_405093,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405090,c_358]) ).
tff(c_404425,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_404423,c_310]) ).
tff(c_405076,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404425,c_402301,c_85116]) ).
tff(c_405077,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_405076]) ).
tff(c_405083,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_405077,c_332]) ).
tff(c_405114,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_405093,c_405083,c_404420]) ).
tff(c_405121,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_405114,c_364]) ).
tff(c_405091,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405090,c_354]) ).
tff(c_403290,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_50475]) ).
tff(c_404621,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_403290,c_208864]) ).
tff(c_404622,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_404621]) ).
tff(c_404743,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_404423,c_404423,c_404622,c_162]) ).
tff(c_404744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_404743]) ).
tff(c_404745,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_404621]) ).
tff(c_405214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_405121,c_405091,c_404745]) ).
tff(c_405215,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_405089]) ).
tff(c_405218,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_405215,c_378]) ).
tff(c_405245,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_405218,c_405083,c_404420]) ).
tff(c_405246,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405245,c_244]) ).
tff(c_405267,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_404423,c_403289]) ).
tff(c_405268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_403292,c_405246,c_402,c_405267]) ).
tff(c_405269,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_405076]) ).
tff(c_405274,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405269,c_360]) ).
tff(c_405281,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_405282,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_404431,c_416,c_405274,c_405281]) ).
tff(c_405284,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_405282,c_378]) ).
tff(c_405296,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405269,c_352]) ).
tff(c_405311,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_405284,c_405296,c_404420]) ).
tff(c_405317,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_405311,c_246]) ).
tff(c_404601,plain,
( ( e4 = e3 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_404423,c_403289]) ).
tff(c_404602,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_403292,c_402,c_404601]) ).
tff(c_404436,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_404564,plain,
op(e4,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_404436,c_172]) ).
tff(c_404603,plain,
op(e4,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_404602,c_404564]) ).
tff(c_404616,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_404603,c_404436]) ).
tff(c_404618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_404616]) ).
tff(c_404619,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_405377,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405269,c_404619]) ).
tff(c_405378,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_405296,c_405377]) ).
tff(c_405328,plain,
op(op(e3,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_405311,c_174]) ).
tff(c_405379,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_405378,c_405328]) ).
tff(c_405392,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_405379,c_405379,c_164]) ).
tff(c_405401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_405317,c_405392]) ).
tff(c_405402,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_407218,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_407196,c_405402]) ).
tff(c_407219,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_407218]) ).
tff(c_405404,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_405447,plain,
( ( op(e4,e1) = e1 )
| ( e4 = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405404,c_208864]) ).
tff(c_405448,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_403290,c_404,c_405447]) ).
tff(c_405449,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_405448]) ).
tff(c_405676,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_405449,c_202]) ).
tff(c_405457,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_405449,c_322]) ).
tff(c_405706,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_405457,c_405402]) ).
tff(c_405707,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_405706]) ).
tff(c_405709,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_405707,c_366]) ).
tff(c_405458,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_405449,c_324]) ).
tff(c_405728,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_405709,c_405458,c_404420]) ).
tff(c_405729,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405728,c_244]) ).
tff(c_405750,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_403292,c_405729,c_403289]) ).
tff(c_405741,plain,
op(op(e3,e4),e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_405449,c_154]) ).
tff(c_405751,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_405750,c_405741]) ).
tff(c_405764,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_405751,c_405751,c_164]) ).
tff(c_405773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_405676,c_405764]) ).
tff(c_405774,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_405706]) ).
tff(c_405778,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405774,c_350]) ).
tff(c_405674,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_405449,c_328]) ).
tff(c_405461,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402301,c_85116]) ).
tff(c_405462,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_405461]) ).
tff(c_405636,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405462,c_403289]) ).
tff(c_405637,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_405636]) ).
tff(c_405638,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_405637]) ).
tff(c_405500,plain,
op(e4,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_405404,c_172]) ).
tff(c_405640,plain,
op(e4,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_405638,c_405500]) ).
tff(c_405652,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_405640,c_405404]) ).
tff(c_405654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_405652]) ).
tff(c_405655,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_405637]) ).
tff(c_405661,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_405655,c_228]) ).
tff(c_405530,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_405457,c_405402]) ).
tff(c_405531,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_405530]) ).
tff(c_405534,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_405531,c_366]) ).
tff(c_405554,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_405534,c_405458,c_404420]) ).
tff(c_405555,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405554,c_244]) ).
tff(c_405576,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405462,c_403289]) ).
tff(c_405577,plain,
op(e3,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_405555,c_405576]) ).
tff(c_405549,plain,
op(e3,op(e3,e4)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_405449,c_162]) ).
tff(c_405578,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_405577,c_405549]) ).
tff(c_405589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_405457,c_405578]) ).
tff(c_405590,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_405530]) ).
tff(c_405597,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405590,c_346]) ).
tff(c_405605,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_405597,c_405458,c_404420]) ).
tff(c_405415,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402301,c_233154]) ).
tff(c_405416,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_405415]) ).
tff(c_405444,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_405416,c_405404,c_212]) ).
tff(c_405445,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_405415]) ).
tff(c_405670,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405605,c_405445]) ).
tff(c_405671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_405661,c_405670]) ).
tff(c_405672,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_405461]) ).
tff(c_405881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_405778,c_405674,c_405672]) ).
tff(c_405882,plain,
op(e4,e1) = e1,
inference(splitRight,[status(thm)],[c_405448]) ).
tff(c_405885,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_405882,c_362]) ).
tff(c_406081,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_405885,c_405402]) ).
tff(c_406082,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_406081]) ).
tff(c_406084,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_406082,c_350]) ).
tff(c_405886,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_405882,c_364]) ).
tff(c_406087,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_406082,c_346]) ).
tff(c_406095,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_405886,c_406087,c_404420]) ).
tff(c_406103,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_406095,c_332]) ).
tff(c_405888,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_405882,c_374]) ).
tff(c_405910,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_405911,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_405888,c_405910]) ).
tff(c_405912,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_405911]) ).
tff(c_405895,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402301,c_85116]) ).
tff(c_405896,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_405895]) ).
tff(c_405926,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_405912,c_405896,c_320]) ).
tff(c_405927,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_405911]) ).
tff(c_405930,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_405927,c_356]) ).
tff(c_406007,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_405885,c_405930,c_405402]) ).
tff(c_405973,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405896,c_403289]) ).
tff(c_405974,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_405973]) ).
tff(c_405975,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_405974]) ).
tff(c_405948,plain,
op(e4,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_405404,c_172]) ).
tff(c_405976,plain,
op(e4,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_405975,c_405948]) ).
tff(c_405989,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_405976,c_405404]) ).
tff(c_405991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_405989]) ).
tff(c_405992,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_405974]) ).
tff(c_405999,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_405992,c_222]) ).
tff(c_406021,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_406007,c_405999]) ).
tff(c_406022,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_405895]) ).
tff(c_406142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406084,c_406103,c_406022]) ).
tff(c_406143,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_406081]) ).
tff(c_406061,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_403292,c_403289]) ).
tff(c_406062,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_406061]) ).
tff(c_406051,plain,
op(e4,op(e2,e4)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_405404,c_172]) ).
tff(c_406063,plain,
op(e4,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_406062,c_406051]) ).
tff(c_406076,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_406063,c_405404]) ).
tff(c_406078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_406076]) ).
tff(c_406079,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_406061]) ).
tff(c_406150,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_406079,c_222]) ).
tff(c_406183,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_406143,c_406150]) ).
tff(c_406184,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_407242,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_407219,c_406184]) ).
tff(c_407243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406652,c_407170,c_406,c_407242]) ).
tff(c_407244,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_407218]) ).
tff(c_407250,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_407244,c_226]) ).
tff(c_407264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406652,c_407170,c_407250,c_406184]) ).
tff(c_407265,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_407186]) ).
tff(c_407269,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_407265,c_326]) ).
tff(c_407320,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_406652,c_407170,c_406184]) ).
tff(c_407307,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_407265,c_166]) ).
tff(c_407321,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_407320,c_407307]) ).
tff(c_407331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_407269,c_407321]) ).
tff(c_407332,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_407167]) ).
tff(c_407339,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_407332,c_224]) ).
tff(c_407473,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_406652,c_407339,c_406184]) ).
tff(c_407477,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_407473,c_352]) ).
tff(c_406653,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_402301,c_85116]) ).
tff(c_406654,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_406653]) ).
tff(c_406655,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_406654,c_320]) ).
tff(c_406667,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_406668,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_406655,c_416,c_406667]) ).
tff(c_406669,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_406668]) ).
tff(c_406672,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_406669,c_358]) ).
tff(c_406775,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_406672,c_404420]) ).
tff(c_406776,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_406775]) ).
tff(c_406784,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_406776,c_366]) ).
tff(c_406671,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_406669,c_356]) ).
tff(c_406801,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_406784,c_406671,c_405402]) ).
tff(c_406806,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_406801,c_226]) ).
tff(c_406828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406652,c_406672,c_406806,c_406184]) ).
tff(c_406829,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_406775]) ).
tff(c_406836,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_406829,c_246]) ).
tff(c_406883,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_406652,c_406672,c_406184]) ).
tff(c_406878,plain,
op(op(e3,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_406829,c_174]) ).
tff(c_406884,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_406883,c_406878]) ).
tff(c_406899,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_406884,c_406884,c_164]) ).
tff(c_406906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406836,c_406899]) ).
tff(c_406907,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_406668]) ).
tff(c_406916,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_406907,c_376]) ).
tff(c_406910,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_406907,c_378]) ).
tff(c_407011,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_406654,c_403289]) ).
tff(c_407012,plain,
( ( op(e3,e4) = e3 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_407011]) ).
tff(c_407013,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_407012]) ).
tff(c_407015,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_407013,c_244]) ).
tff(c_407031,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_406910,c_407015,c_404420]) ).
tff(c_407034,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_407031,c_326]) ).
tff(c_407061,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_406916,c_407034,c_405402]) ).
tff(c_407078,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_407061,c_407061,c_407031,c_166]) ).
tff(c_407079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_407078]) ).
tff(c_407080,plain,
op(e3,e4) = e3,
inference(splitRight,[status(thm)],[c_407012]) ).
tff(c_407085,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_407080,c_224]) ).
tff(c_407094,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_406652,c_406184]) ).
tff(c_407095,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_407094]) ).
tff(c_407101,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_407095,c_346]) ).
tff(c_407086,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_407080,c_222]) ).
tff(c_407108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406916,c_407101,c_407086,c_405402]) ).
tff(c_407109,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_407094]) ).
tff(c_407111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_407085,c_407109]) ).
tff(c_407112,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_406653]) ).
tff(c_407497,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_407477,c_407112]) ).
tff(c_407340,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_407332,c_222]) ).
tff(c_407436,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_407340,c_405402]) ).
tff(c_407437,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_407436]) ).
tff(c_407463,plain,
op(e1,op(e1,e3)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_407437,c_184]) ).
tff(c_407498,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_407497,c_407497,c_407463]) ).
tff(c_407509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_407498]) ).
tff(c_407510,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_407436]) ).
tff(c_407517,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_407510,c_346]) ).
tff(c_407525,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_407510,c_406184]) ).
tff(c_407526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406652,c_407517,c_406,c_407525]) ).
tff(c_407527,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_402284]) ).
tff(c_413835,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_412818,c_407527]) ).
tff(c_413836,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_413835]) ).
tff(c_413927,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_413836,c_413836,c_402275,c_194]) ).
tff(c_413928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_413927]) ).
tff(c_413929,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_413835]) ).
tff(c_413935,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_413929,c_254]) ).
tff(c_410276,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_208864]) ).
tff(c_410278,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_410276,c_302]) ).
tff(c_410280,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_410276,c_314]) ).
tff(c_410453,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_410454,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_410280,c_416,c_410453]) ).
tff(c_410455,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_410454]) ).
tff(c_410456,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_410455,c_356]) ).
tff(c_410468,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410278,c_410456,c_252827]) ).
tff(c_410469,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_410468]) ).
tff(c_410474,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_410469,c_230]) ).
tff(c_410277,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_410276,c_304]) ).
tff(c_410458,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_410455,c_358]) ).
tff(c_410482,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410277,c_410458,c_164528]) ).
tff(c_410483,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_410482]) ).
tff(c_410513,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_410483,c_410469,c_326]) ).
tff(c_410514,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_410482]) ).
tff(c_410516,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410514,c_372]) ).
tff(c_410528,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_410514,c_233154]) ).
tff(c_410529,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_410474,c_412,c_410516,c_410528]) ).
tff(c_410544,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_410529,c_410276,c_208]) ).
tff(c_410545,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_410468]) ).
tff(c_410554,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410545,c_370]) ).
tff(c_410457,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_410455,c_360]) ).
tff(c_410549,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410545,c_366]) ).
tff(c_410559,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_410277,c_410458,c_410549,c_164528]) ).
tff(c_410565,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_410559,c_332]) ).
tff(c_407537,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_407539,plain,
op(e4,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_308]) ).
tff(c_409553,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_50475]) ).
tff(c_409554,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407539,c_408,c_409553]) ).
tff(c_409555,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_409554]) ).
tff(c_409560,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_409555,c_222]) ).
tff(c_409709,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_409555,c_252827]) ).
tff(c_409710,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_409560,c_409709]) ).
tff(c_409711,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_409710]) ).
tff(c_409717,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_409711,c_342]) ).
tff(c_408510,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_50475]) ).
tff(c_408511,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407539,c_408,c_408510]) ).
tff(c_408512,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_408511]) ).
tff(c_408517,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_408512,c_222]) ).
tff(c_408501,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407539,c_208864]) ).
tff(c_408502,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_408501]) ).
tff(c_408693,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_408502,c_408512,c_162]) ).
tff(c_408694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408517,c_408693]) ).
tff(c_408695,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_408511]) ).
tff(c_409162,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408695,c_248]) ).
tff(c_408697,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_409004,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_408697,c_158]) ).
tff(c_409005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_407539,c_409004]) ).
tff(c_409006,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_409250,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_409162,c_409006]) ).
tff(c_409251,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_409250]) ).
tff(c_409259,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_409251,c_370]) ).
tff(c_409256,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_409251,c_272]) ).
tff(c_409226,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408695,c_244]) ).
tff(c_409008,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_409012,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_409008,c_218]) ).
tff(c_409020,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408695,c_248]) ).
tff(c_409092,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_409020,c_409006]) ).
tff(c_409093,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_409092]) ).
tff(c_409094,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_409093,c_372]) ).
tff(c_409088,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408695,c_244]) ).
tff(c_407540,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_312]) ).
tff(c_407545,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407540,c_164528]) ).
tff(c_407546,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_407545]) ).
tff(c_408159,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_50475]) ).
tff(c_408160,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407539,c_408,c_408159]) ).
tff(c_408161,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_408160]) ).
tff(c_408164,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_408161,c_228]) ).
tff(c_407556,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_407799,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_407556,c_158]) ).
tff(c_407800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_407539,c_407799]) ).
tff(c_407801,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_408184,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_408164,c_407801]) ).
tff(c_408185,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_408184]) ).
tff(c_408192,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_408185,c_368]) ).
tff(c_408190,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_408185,c_272]) ).
tff(c_408165,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_408161,c_224]) ).
tff(c_408016,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_408021,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_408016,c_218]) ).
tff(c_408027,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_50475]) ).
tff(c_408028,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407539,c_408,c_408027]) ).
tff(c_408029,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_408028]) ).
tff(c_408035,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_408029,c_234]) ).
tff(c_408071,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_408021,c_408035,c_407527]) ).
tff(c_408076,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408071,c_260]) ).
tff(c_408032,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_408029,c_228]) ).
tff(c_408094,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_408076,c_408032,c_407801]) ).
tff(c_408102,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_408094,c_368]) ).
tff(c_407803,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407539,c_208864]) ).
tff(c_407804,plain,
op(e4,e3) = e3,
inference(splitLeft,[status(thm)],[c_407803]) ).
tff(c_407861,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_407546,c_407804,c_324]) ).
tff(c_407862,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_407803]) ).
tff(c_408123,plain,
( ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_408016,c_407862]) ).
tff(c_408124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408102,c_404,c_408123]) ).
tff(c_408125,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_408028]) ).
tff(c_408155,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_408016,c_408125,c_408016,c_172]) ).
tff(c_408156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_408155]) ).
tff(c_408157,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_408236,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408190,c_408165,c_408157]) ).
tff(c_408244,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408236,c_344]) ).
tff(c_408257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408192,c_408244,c_407862]) ).
tff(c_408258,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_408184]) ).
tff(c_408263,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408258,c_252]) ).
tff(c_408308,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_408263,c_408165,c_408157]) ).
tff(c_408370,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_408308,c_408258,c_408308,c_178]) ).
tff(c_408371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_408370]) ).
tff(c_408372,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_408160]) ).
tff(c_408378,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408372,c_248]) ).
tff(c_408404,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_408378,c_407801]) ).
tff(c_408405,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_408404]) ).
tff(c_408413,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_408405,c_370]) ).
tff(c_408410,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_408405,c_272]) ).
tff(c_408385,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408372,c_244]) ).
tff(c_408418,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_408410,c_408385,c_408157]) ).
tff(c_407538,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_310]) ).
tff(c_407864,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407538,c_252827]) ).
tff(c_407865,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_407864]) ).
tff(c_407962,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_407546,c_407865,c_326]) ).
tff(c_407963,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_407864]) ).
tff(c_408434,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_408418,c_407963]) ).
tff(c_408435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408413,c_406,c_408434]) ).
tff(c_408436,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_408404]) ).
tff(c_408469,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_408436,c_407963]) ).
tff(c_408470,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_408469]) ).
tff(c_408497,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_407546,c_408470,c_407546,c_174]) ).
tff(c_408498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_408497]) ).
tff(c_408499,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_407545]) ).
tff(c_409140,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_409094,c_409088,c_408499]) ).
tff(c_409141,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_409092]) ).
tff(c_409144,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_409141,c_240]) ).
tff(c_409017,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_408695,c_254]) ).
tff(c_409156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_409012,c_409144,c_409017,c_407527]) ).
tff(c_409157,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_409269,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_409256,c_409226,c_409157]) ).
tff(c_409201,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407538,c_252827]) ).
tff(c_409202,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_409201]) ).
tff(c_409221,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_409202,c_408502,c_322]) ).
tff(c_409222,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_409201]) ).
tff(c_409297,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_409269,c_409222]) ).
tff(c_409298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_409259,c_406,c_409297]) ).
tff(c_409300,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_409250]) ).
tff(c_409387,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_409226,c_408499]) ).
tff(c_409299,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_409250]) ).
tff(c_409304,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_409299,c_232]) ).
tff(c_409318,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_409226,c_409304,c_409157]) ).
tff(c_409413,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_409387,c_409318,c_186]) ).
tff(c_409414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_409300,c_409413]) ).
tff(c_409415,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_408501]) ).
tff(c_409785,plain,
op(e4,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_409717,c_409415]) ).
tff(c_409812,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_409785,c_409785,c_407537,c_158]) ).
tff(c_409813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_409812]) ).
tff(c_409814,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_409710]) ).
tff(c_409823,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_409814,c_370]) ).
tff(c_409417,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_233154]) ).
tff(c_409549,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_407537,c_409417,c_158]) ).
tff(c_409550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_407539,c_409549]) ).
tff(c_409551,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_409832,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_409814,c_409551]) ).
tff(c_409833,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_409823,c_410,c_409832]) ).
tff(c_409838,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_409833,c_252]) ).
tff(c_409861,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_409833,c_408499]) ).
tff(c_409862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_409838,c_409861]) ).
tff(c_409863,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_409554]) ).
tff(c_410076,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_409863,c_244]) ).
tff(c_409868,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_409863,c_248]) ).
tff(c_410077,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_409868,c_409551]) ).
tff(c_410078,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_410077]) ).
tff(c_410086,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410078,c_370]) ).
tff(c_410083,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410078,c_272]) ).
tff(c_409876,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_409967,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_409876,c_409863,c_409876,c_172]) ).
tff(c_409968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_409967]) ).
tff(c_409969,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_410107,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_410083,c_410076,c_409969]) ).
tff(c_409971,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_407538,c_252827]) ).
tff(c_409972,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_409971]) ).
tff(c_409976,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_409972,c_230]) ).
tff(c_410015,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_409868,c_409976,c_409551]) ).
tff(c_410020,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410015,c_272]) ).
tff(c_410012,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_409863,c_244]) ).
tff(c_409973,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_409972,c_226]) ).
tff(c_410044,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410020,c_410012,c_409973,c_409969]) ).
tff(c_410045,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_409971]) ).
tff(c_410135,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_410107,c_410045]) ).
tff(c_410136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410086,c_406,c_410135]) ).
tff(c_410137,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_410077]) ).
tff(c_410142,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_410137,c_232]) ).
tff(c_410169,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_410076,c_410142,c_409969]) ).
tff(c_410173,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410169,c_352]) ).
tff(c_410237,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_410076,c_408499]) ).
tff(c_410263,plain,
op(e1,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_410237,c_410169,c_178]) ).
tff(c_410264,plain,
op(e2,e2) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_410263,c_410263,c_188]) ).
tff(c_410273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410173,c_410264]) ).
tff(c_410274,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_410618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410554,c_410457,c_410565,c_410274]) ).
tff(c_410619,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_410454]) ).
tff(c_410628,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410619,c_376]) ).
tff(c_410633,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410278,c_410628,c_252827]) ).
tff(c_410634,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_410633]) ).
tff(c_410638,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_410634,c_230]) ).
tff(c_410623,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410619,c_380]) ).
tff(c_410697,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410638,c_410623,c_233154]) ).
tff(c_410698,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_410697]) ).
tff(c_410721,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_410698,c_410276,c_208]) ).
tff(c_410722,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_410697]) ).
tff(c_410622,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_410619,c_378]) ).
tff(c_410645,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410277,c_410622,c_164528]) ).
tff(c_410646,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_410645]) ).
tff(c_410694,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_410634,c_410646,c_326]) ).
tff(c_410695,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_410645]) ).
tff(c_410728,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_410695,c_252]) ).
tff(c_410747,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_410722,c_410728]) ).
tff(c_410748,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_410633]) ).
tff(c_410794,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410277,c_410622,c_164528]) ).
tff(c_410795,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_410794]) ).
tff(c_410850,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_410748,c_410795,c_410748,c_166]) ).
tff(c_410851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_410850]) ).
tff(c_410852,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_410794]) ).
tff(c_410753,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_410748,c_346]) ).
tff(c_410865,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_410852,c_410753]) ).
tff(c_410867,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_410869,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_410867,c_50475]) ).
tff(c_410870,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_410869]) ).
tff(c_410875,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_222]) ).
tff(c_412181,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_252827]) ).
tff(c_412182,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_410875,c_412181]) ).
tff(c_412183,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_412182]) ).
tff(c_412184,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_412183,c_350]) ).
tff(c_412352,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412184,c_410274]) ).
tff(c_412353,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_412352]) ).
tff(c_412360,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_412353,c_368]) ).
tff(c_412188,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_412183,c_342]) ).
tff(c_410866,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_412405,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412360,c_412188,c_410866]) ).
tff(c_412366,plain,
op(e3,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_154]) ).
tff(c_412407,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_412405,c_412366]) ).
tff(c_412430,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_412407,c_412405,c_410870,c_162]) ).
tff(c_412431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_412430]) ).
tff(c_412432,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_412352]) ).
tff(c_412435,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_412432,c_328]) ).
tff(c_412186,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_412183,c_346]) ).
tff(c_411216,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( e4 = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_252827]) ).
tff(c_411217,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_410875,c_411216]) ).
tff(c_411218,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_411217]) ).
tff(c_411220,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_411218,c_350]) ).
tff(c_411463,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_411220,c_410274]) ).
tff(c_411464,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_411463]) ).
tff(c_411472,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_411464,c_368]) ).
tff(c_410874,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_224]) ).
tff(c_410883,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410874,c_130109]) ).
tff(c_410884,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_410883]) ).
tff(c_411509,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_410884,c_410866]) ).
tff(c_411510,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_411472,c_404,c_411509]) ).
tff(c_411445,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_162]) ).
tff(c_411511,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_411510,c_411445]) ).
tff(c_411522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410875,c_411511]) ).
tff(c_411524,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_411463]) ).
tff(c_410888,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_410884,c_218]) ).
tff(c_410876,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_234]) ).
tff(c_411547,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_410888,c_410876,c_407527]) ).
tff(c_411552,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_411547,c_260]) ).
tff(c_410873,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_228]) ).
tff(c_411230,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410873,c_233154]) ).
tff(c_411231,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_411230]) ).
tff(c_411256,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_411231,c_410884,c_212]) ).
tff(c_411257,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_411230]) ).
tff(c_411601,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_411524,c_411552,c_411257]) ).
tff(c_411602,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_410883]) ).
tff(c_412477,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_412186,c_411602]) ).
tff(c_412447,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_412188,c_410866]) ).
tff(c_412448,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_412447]) ).
tff(c_412455,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_412448,c_368]) ).
tff(c_410871,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_302]) ).
tff(c_412196,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410873,c_233154]) ).
tff(c_412197,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_412196]) ).
tff(c_412298,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_412197,c_410866]) ).
tff(c_412299,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_412188,c_412298]) ).
tff(c_412284,plain,
op(e3,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_410870,c_154]) ).
tff(c_412300,plain,
op(e3,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_412299,c_412284]) ).
tff(c_412313,plain,
op(e4,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_412300,c_412300,c_164]) ).
tff(c_412322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410871,c_412313]) ).
tff(c_412323,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_412196]) ).
tff(c_412508,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_412455,c_412323]) ).
tff(c_412478,plain,
op(e1,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_412477,c_178]) ).
tff(c_412509,plain,
op(e1,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_412508,c_412478]) ).
tff(c_412518,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_412477,c_412509]) ).
tff(c_412520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_412518]) ).
tff(c_412521,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_412447]) ).
tff(c_412523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412435,c_412521]) ).
tff(c_412524,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_412182]) ).
tff(c_412533,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_412524,c_370]) ).
tff(c_412550,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e1 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_412524,c_233154]) ).
tff(c_412551,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_412533,c_412550]) ).
tff(c_412552,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_412551]) ).
tff(c_412556,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_412552,c_220]) ).
tff(c_412632,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_412556,c_410876,c_407527]) ).
tff(c_412638,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_412632,c_258]) ).
tff(c_412565,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_412552,c_410866]) ).
tff(c_412566,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_412565]) ).
tff(c_412567,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_412566]) ).
tff(c_412570,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_412567,c_348]) ).
tff(c_412605,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412533,c_412570,c_410274]) ).
tff(c_412595,plain,
op(op(e1,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_412524,c_168]) ).
tff(c_412606,plain,
op(e3,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_412605,c_412595]) ).
tff(c_412615,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_412524,c_412606]) ).
tff(c_412617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_412615]) ).
tff(c_412618,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_412566]) ).
tff(c_412621,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_412618,c_328]) ).
tff(c_412652,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_412533,c_412621,c_410274]) ).
tff(c_412688,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_412652,c_411602]) ).
tff(c_412689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_412638,c_412688]) ).
tff(c_412690,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_412551]) ).
tff(c_412696,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_412690,c_252]) ).
tff(c_412763,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412533,c_410274]) ).
tff(c_412764,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_412763]) ).
tff(c_412794,plain,
( ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_412764,c_411602]) ).
tff(c_412795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_412696,c_412794]) ).
tff(c_412796,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_412763]) ).
tff(c_412527,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_412524,c_362]) ).
tff(c_412705,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_412527,c_410866]) ).
tff(c_412706,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_412705]) ).
tff(c_412710,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_412706,c_348]) ).
tff(c_412734,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_412533,c_412710,c_410274]) ).
tff(c_412751,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_412524,c_412734,c_412524,c_168]) ).
tff(c_412752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_412751]) ).
tff(c_412753,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_412705]) ).
tff(c_412810,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_412796,c_412753,c_328]) ).
tff(c_412811,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_410869]) ).
tff(c_414105,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_413935,c_412811]) ).
tff(c_413826,plain,
op(op(e1,e4),e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_412813,c_158]) ).
tff(c_414106,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_414105,c_414105,c_413826]) ).
tff(c_414116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_414106]) ).
tff(c_414117,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_233154]) ).
tff(c_418984,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_414117]) ).
tff(c_418991,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_418984,c_380]) ).
tff(c_414119,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_414125,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_414119,c_318]) ).
tff(c_414387,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_414388,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_414125,c_416,c_414387]) ).
tff(c_414389,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_414388]) ).
tff(c_414754,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_414389,c_360]) ).
tff(c_414391,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_414389,c_354]) ).
tff(c_414788,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_414391,c_410866]) ).
tff(c_414789,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_414788]) ).
tff(c_414791,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_414789,c_208]) ).
tff(c_414895,plain,
( ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_414119,c_412811]) ).
tff(c_414896,plain,
op(e1,e4) = e1,
inference(negUnitSimplification,[status(thm)],[c_404,c_414895]) ).
tff(c_414790,plain,
op(op(e1,e4),e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_414789,c_158]) ).
tff(c_414898,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_414896,c_414790]) ).
tff(c_414913,plain,
op(e4,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_414898,c_414898,c_188]) ).
tff(c_414919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414791,c_414913]) ).
tff(c_414920,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_414788]) ).
tff(c_414924,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_414920,c_328]) ).
tff(c_414957,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_414754,c_414924,c_410274]) ).
tff(c_414960,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_414957,c_268]) ).
tff(c_415027,plain,
( ( e4 = e2 )
| ( op(e1,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_414119,c_412811]) ).
tff(c_415028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_414960,c_404,c_415027]) ).
tff(c_415029,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_414388]) ).
tff(c_415033,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_415029,c_380]) ).
tff(c_415306,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_415033,c_414117]) ).
tff(c_415307,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_415306]) ).
tff(c_415313,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_415307,c_252]) ).
tff(c_415037,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_415029,c_374]) ).
tff(c_415287,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_415037,c_410866]) ).
tff(c_415288,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_415287]) ).
tff(c_415302,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_414119,c_415288,c_414119,c_172]) ).
tff(c_415303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_415302]) ).
tff(c_415304,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_415287]) ).
tff(c_415322,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_415304,c_328]) ).
tff(c_415362,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_415033,c_415322,c_410274]) ).
tff(c_415404,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_415362,c_415307,c_178]) ).
tff(c_415405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415313,c_415404]) ).
tff(c_415406,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_415306]) ).
tff(c_415412,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_415406,c_232]) ).
tff(c_415422,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_415304,c_328]) ).
tff(c_415462,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_415033,c_415422,c_410274]) ).
tff(c_415465,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_415462,c_352]) ).
tff(c_415043,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_415047,plain,
op(e2,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_415043,c_344]) ).
tff(c_415234,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_414119,c_415043,c_172]) ).
tff(c_415273,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_415234,c_415234,c_152]) ).
tff(c_415274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415047,c_415273]) ).
tff(c_415275,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_415432,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_415275]) ).
tff(c_415445,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_415432,c_410274]) ).
tff(c_415446,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_415033,c_412,c_415445]) ).
tff(c_415459,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_415446,c_415422]) ).
tff(c_415460,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_415275]) ).
tff(c_415545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415412,c_415465,c_415460]) ).
tff(c_415546,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_417614,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_415546]) ).
tff(c_417616,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_417614,c_372]) ).
tff(c_417636,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_417614,c_414117]) ).
tff(c_417637,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_417616,c_412,c_417636]) ).
tff(c_417645,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_417637,c_230]) ).
tff(c_417665,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_417616,c_410274]) ).
tff(c_417666,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_417665]) ).
tff(c_417660,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_417614,c_186]) ).
tff(c_417667,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_417666,c_417666,c_417660]) ).
tff(c_417679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_417667]) ).
tff(c_417680,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_417665]) ).
tff(c_417640,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_417637,c_168]) ).
tff(c_417682,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_417680,c_417640]) ).
tff(c_417693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_417645,c_417682]) ).
tff(c_417694,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_415546]) ).
tff(c_417709,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_417694]) ).
tff(c_417712,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_417709,c_326]) ).
tff(c_415548,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_415557,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_415548,c_316]) ).
tff(c_415562,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_415563,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_415557,c_416,c_415562]) ).
tff(c_415564,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_415563]) ).
tff(c_415566,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_415564,c_354]) ).
tff(c_415896,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_415566,c_410866]) ).
tff(c_415897,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_415896]) ).
tff(c_415904,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_415897,c_368]) ).
tff(c_415567,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_415564,c_360]) ).
tff(c_415568,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_415564,c_358]) ).
tff(c_415819,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_415568,c_415546]) ).
tff(c_415820,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_415819]) ).
tff(c_415822,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_415820,c_372]) ).
tff(c_415833,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_415820,c_414117]) ).
tff(c_415834,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_415822,c_412,c_415833]) ).
tff(c_415840,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_415834,c_230]) ).
tff(c_415859,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_415822,c_415567,c_410274]) ).
tff(c_415880,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_415859,c_415834,c_168]) ).
tff(c_415881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415840,c_415880]) ).
tff(c_415882,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_415819]) ).
tff(c_415891,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_415882,c_332]) ).
tff(c_415925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415904,c_415567,c_415891,c_410274]) ).
tff(c_415926,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_415896]) ).
tff(c_415885,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_415882,c_324]) ).
tff(c_415953,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_415926,c_415885]) ).
tff(c_415954,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_415563]) ).
tff(c_415962,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_415954,c_374]) ).
tff(c_415958,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_415954,c_380]) ).
tff(c_415957,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_415954,c_378]) ).
tff(c_416124,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_415957,c_415546]) ).
tff(c_416125,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_416124]) ).
tff(c_416131,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_416125,c_252]) ).
tff(c_416142,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_415958,c_416131,c_414117]) ).
tff(c_416150,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_416142,c_230]) ).
tff(c_416127,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_416125,c_352]) ).
tff(c_416170,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_415958,c_416127,c_410274]) ).
tff(c_416143,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_416142,c_168]) ).
tff(c_416171,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_416170,c_416143]) ).
tff(c_416181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416150,c_416171]) ).
tff(c_416182,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_416124]) ).
tff(c_416191,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_416182,c_332]) ).
tff(c_416265,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_415958,c_416191,c_410274]) ).
tff(c_416272,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_416265,c_348]) ).
tff(c_416185,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_416182,c_324]) ).
tff(c_416325,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415962,c_416272,c_416185,c_410866]) ).
tff(c_416326,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_417482,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_416326]) ).
tff(c_417491,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_417482,c_370]) ).
tff(c_417486,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_417482,c_366]) ).
tff(c_417500,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_417486,c_415546]) ).
tff(c_417501,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_417500]) ).
tff(c_417507,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_417501,c_252]) ).
tff(c_417514,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_417482,c_414117]) ).
tff(c_417515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_417491,c_417507,c_410,c_417514]) ).
tff(c_417517,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_417500]) ).
tff(c_417516,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_417500]) ).
tff(c_417527,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_417516,c_332]) ).
tff(c_417564,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_417491,c_417527,c_410274]) ).
tff(c_417532,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_417482,c_414117]) ).
tff(c_417533,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_417491,c_410,c_417532]) ).
tff(c_417536,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_417533,c_178]) ).
tff(c_417565,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_417564,c_417536]) ).
tff(c_417576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_417517,c_417565]) ).
tff(c_417577,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_416326]) ).
tff(c_417787,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_417712,c_417577]) ).
tff(c_417710,plain,
op(e3,op(e3,e2)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_417709,c_166]) ).
tff(c_417788,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_417787,c_417787,c_417710]) ).
tff(c_417799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_417788]) ).
tff(c_417800,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_417694]) ).
tff(c_417806,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_417800,c_258]) ).
tff(c_417846,plain,
( ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_417806,c_407527]) ).
tff(c_417847,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_417846]) ).
tff(c_416328,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e0 )
| ( op(e0,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_402273]) ).
tff(c_416329,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_416,c_416328]) ).
tff(c_416330,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_416329]) ).
tff(c_417579,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_416330,c_160]) ).
tff(c_417850,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_417847,c_417579]) ).
tff(c_417860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410867,c_417850]) ).
tff(c_417861,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_417846]) ).
tff(c_417704,plain,
op(op(e3,e0),e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_194]) ).
tff(c_417863,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_417861,c_417861,c_417704]) ).
tff(c_417875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_417863]) ).
tff(c_417876,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_416329]) ).
tff(c_419006,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_418991,c_417876]) ).
tff(c_419012,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419006,c_358]) ).
tff(c_418879,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_415546]) ).
tff(c_418881,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_418879,c_372]) ).
tff(c_418902,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_418879,c_414117]) ).
tff(c_418903,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_418881,c_412,c_418902]) ).
tff(c_418911,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418903,c_230]) ).
tff(c_418931,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418881,c_410274]) ).
tff(c_418932,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_418931]) ).
tff(c_418880,plain,
op(op(e1,e2),e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_418879,c_178]) ).
tff(c_418933,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_418932,c_418880]) ).
tff(c_418943,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_418879,c_418933]) ).
tff(c_418945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_418943]) ).
tff(c_418946,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_418931]) ).
tff(c_418906,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_418903,c_168]) ).
tff(c_418949,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_418946,c_418906]) ).
tff(c_418959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418911,c_418949]) ).
tff(c_418960,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_415546]) ).
tff(c_419030,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_419012,c_418960]) ).
tff(c_419033,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_419030,c_326]) ).
tff(c_419009,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419006,c_356]) ).
tff(c_418758,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_416326]) ).
tff(c_418767,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_418758,c_370]) ).
tff(c_418762,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_418758,c_366]) ).
tff(c_418772,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418762,c_415546]) ).
tff(c_418773,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_418772]) ).
tff(c_418780,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418773,c_252]) ).
tff(c_418787,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_418758,c_414117]) ).
tff(c_418788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418767,c_418780,c_410,c_418787]) ).
tff(c_418790,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_418772]) ).
tff(c_418789,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_418772]) ).
tff(c_418799,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418789,c_332]) ).
tff(c_418836,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_418767,c_418799,c_410274]) ).
tff(c_418804,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_418758,c_414117]) ).
tff(c_418805,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_418767,c_410,c_418804]) ).
tff(c_418808,plain,
op(op(e1,e2),e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_418805,c_178]) ).
tff(c_418837,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_418836,c_418808]) ).
tff(c_418848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418790,c_418837]) ).
tff(c_418849,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_416326]) ).
tff(c_419081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_419033,c_419009,c_418849]) ).
tff(c_419083,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_414117]) ).
tff(c_419092,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_418960]) ).
tff(c_419099,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_419092,c_246]) ).
tff(c_419102,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_419092,c_332]) ).
tff(c_419107,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_419083,c_419102,c_410274]) ).
tff(c_419111,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419107,c_352]) ).
tff(c_417878,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_417891,plain,
( ( op(e4,e3) = e3 )
| ( e4 = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_417878,c_410866]) ).
tff(c_417892,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_417891]) ).
tff(c_417893,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_417892]) ).
tff(c_417898,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_417893,c_364]) ).
tff(c_417899,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_417893,c_368]) ).
tff(c_417929,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_417899,c_410274]) ).
tff(c_417930,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_417929]) ).
tff(c_417932,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_417930,c_352]) ).
tff(c_417885,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_417878,c_218]) ).
tff(c_417910,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_417885,c_407527]) ).
tff(c_417911,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_417910]) ).
tff(c_417915,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_417911,c_240]) ).
tff(c_417947,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_417899,c_417915,c_414117]) ).
tff(c_418004,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_417947,c_417930,c_178]) ).
tff(c_418005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_417932,c_418004]) ).
tff(c_418006,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_417929]) ).
tff(c_418015,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418006,c_332]) ).
tff(c_418033,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_417898,c_418015,c_415546]) ).
tff(c_417897,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_417893,c_362]) ).
tff(c_417916,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_417911,c_236]) ).
tff(c_418020,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_417897,c_417916,c_416326]) ).
tff(c_418025,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418020,c_346]) ).
tff(c_418046,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_418033,c_418025]) ).
tff(c_418047,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_417910]) ).
tff(c_418056,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418047,c_258]) ).
tff(c_418063,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_417899,c_410274]) ).
tff(c_418064,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_418063]) ).
tff(c_418069,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418064,c_350]) ).
tff(c_418052,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418047,c_260]) ).
tff(c_418081,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_417899,c_418052,c_414117]) ).
tff(c_418087,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418081,c_230]) ).
tff(c_418148,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_418081,c_416326]) ).
tff(c_418149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_418069,c_418087,c_418148]) ).
tff(c_418150,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_418063]) ).
tff(c_418159,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418150,c_332]) ).
tff(c_418193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_417898,c_418056,c_418159,c_415546]) ).
tff(c_418194,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_417892]) ).
tff(c_418201,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418194,c_322]) ).
tff(c_418301,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_418201,c_416326]) ).
tff(c_418302,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_418301]) ).
tff(c_418310,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_418302,c_370]) ).
tff(c_418212,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_417885,c_407527]) ).
tff(c_418213,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_418212]) ).
tff(c_418297,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_402275,c_418213,c_402275,c_170]) ).
tff(c_418298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_416,c_418297]) ).
tff(c_418299,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_418212]) ).
tff(c_418331,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418299,c_260]) ).
tff(c_418341,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_418302,c_414117]) ).
tff(c_418342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418310,c_418331,c_410,c_418341]) ).
tff(c_418343,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_418301]) ).
tff(c_418363,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418343,c_346]) ).
tff(c_418197,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418194,c_324]) ).
tff(c_418371,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_418363,c_418197,c_415546]) ).
tff(c_418372,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_418371,c_372]) ).
tff(c_418362,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418343,c_350]) ).
tff(c_418198,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418194,c_328]) ).
tff(c_418416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418372,c_418362,c_418198,c_410274]) ).
tff(c_418417,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_418443,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_418417]) ).
tff(c_418450,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_418443,c_272]) ).
tff(c_418511,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_418443,c_410274]) ).
tff(c_418512,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_418450,c_412,c_418511]) ).
tff(c_418517,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418512,c_330]) ).
tff(c_418539,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418450,c_414117]) ).
tff(c_418540,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_418539]) ).
tff(c_418479,plain,
op(op(e2,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_418443,c_186]) ).
tff(c_418541,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_418540,c_418540,c_418479]) ).
tff(c_418551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_418541]) ).
tff(c_418552,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_418539]) ).
tff(c_418515,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_418512,c_168]) ).
tff(c_418554,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_418552,c_418515]) ).
tff(c_418565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418517,c_418554]) ).
tff(c_418566,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_418417]) ).
tff(c_419143,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_419111,c_418566]) ).
tff(c_419094,plain,
op(op(e3,e2),e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_419092,c_174]) ).
tff(c_419144,plain,
op(e3,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_419143,c_419094]) ).
tff(c_419158,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_419144,c_419144,c_164]) ).
tff(c_419166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_419099,c_419158]) ).
tff(c_419167,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_418960]) ).
tff(c_419171,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419167,c_352]) ).
tff(c_419182,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_419083,c_419171,c_410274]) ).
tff(c_419185,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_419182,c_328]) ).
tff(c_419177,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419167,c_344]) ).
tff(c_418588,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_410866]) ).
tff(c_418596,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_418588,c_368]) ).
tff(c_418631,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418596,c_410274]) ).
tff(c_418632,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_418631]) ).
tff(c_418638,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418632,c_350]) ).
tff(c_418635,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418632,c_352]) ).
tff(c_418647,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418596,c_414117]) ).
tff(c_418648,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_418647]) ).
tff(c_418633,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_418632,c_178]) ).
tff(c_418661,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_418648,c_418633]) ).
tff(c_418662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418635,c_418661]) ).
tff(c_418663,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_418647]) ).
tff(c_418678,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_418663,c_416326]) ).
tff(c_418679,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_410,c_418638,c_418678]) ).
tff(c_418671,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418663,c_230]) ).
tff(c_418693,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_418679,c_418671]) ).
tff(c_418694,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_418631]) ).
tff(c_418698,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418694,c_330]) ).
tff(c_418709,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_418596,c_414117]) ).
tff(c_418710,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_418709]) ).
tff(c_418716,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_418710,c_252]) ).
tff(c_418704,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_418694,c_332]) ).
tff(c_418724,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_418710,c_415546]) ).
tff(c_418725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_418716,c_418704,c_418724]) ).
tff(c_418726,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_418709]) ).
tff(c_418696,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_418694,c_168]) ).
tff(c_418754,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_418726,c_418696]) ).
tff(c_418755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418698,c_418754]) ).
tff(c_418756,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_410866]) ).
tff(c_419230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_419185,c_419177,c_418756]) ).
tff(c_419231,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(splitRight,[status(thm)],[c_438]) ).
tff(c_422777,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_422764,c_422759,c_419231]) ).
tff(c_422778,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_422777]) ).
tff(c_422784,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_422778,c_246]) ).
tff(c_422792,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( op(e2,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_422778,c_164528]) ).
tff(c_422793,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_422339,c_406,c_422784,c_422792]) ).
tff(c_422802,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_422793,c_372]) ).
tff(c_422815,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_422793,c_233154]) ).
tff(c_422816,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_422761,c_412,c_422802,c_422815]) ).
tff(c_422819,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422816,c_240]) ).
tff(c_422782,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_422778,c_256]) ).
tff(c_419250,plain,
op(e4,e4) = e4,
inference(splitLeft,[status(thm)],[c_208864]) ).
tff(c_419251,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_419250,c_304]) ).
tff(c_419254,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_419250,c_314]) ).
tff(c_419252,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_419250,c_302]) ).
tff(c_419259,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_419252,c_252827]) ).
tff(c_419260,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_419259]) ).
tff(c_419263,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_419260,c_230]) ).
tff(c_419233,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_402274,c_444]) ).
tff(c_419234,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_419233]) ).
tff(c_419248,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_419234,c_280]) ).
tff(c_419383,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_419263,c_419248,c_233154]) ).
tff(c_419384,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_419383]) ).
tff(c_419417,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_419384,c_419250,c_208]) ).
tff(c_419418,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_419383]) ).
tff(c_419261,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_419260,c_226]) ).
tff(c_419249,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_419234,c_278]) ).
tff(c_419271,plain,
( ( op(e2,e2) = e2 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_419261,c_419249,c_130109]) ).
tff(c_419272,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_419271]) ).
tff(c_419371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_419250,c_419272,c_204]) ).
tff(c_419372,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_419271]) ).
tff(c_419457,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_419418,c_419372,c_252]) ).
tff(c_419459,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_419259]) ).
tff(c_419253,plain,
op(e1,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_419250,c_308]) ).
tff(c_419582,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_419253,c_419248,c_85116]) ).
tff(c_419583,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_419582]) ).
tff(c_419587,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_419583,c_340]) ).
tff(c_419630,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_419254,c_419587,c_402273]) ).
tff(c_419631,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_419630]) ).
tff(c_419635,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419631,c_358]) ).
tff(c_419594,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_419583,c_419231]) ).
tff(c_419595,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_419459,c_410,c_419594]) ).
tff(c_419596,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_419595]) ).
tff(c_419627,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_419596,c_419250,c_202]) ).
tff(c_419628,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_419595]) ).
tff(c_419658,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( op(e2,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_419628,c_164528]) ).
tff(c_419659,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_419251,c_406,c_419635,c_419658]) ).
tff(c_419527,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_419248,c_233154]) ).
tff(c_419528,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_419527]) ).
tff(c_419579,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_419528,c_419250,c_208]) ).
tff(c_419580,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_419527]) ).
tff(c_419683,plain,
( ( op(e3,e1) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_419659,c_419580]) ).
tff(c_419684,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_419683]) ).
tff(c_419711,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_419684,c_419583,c_168]) ).
tff(c_419712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_419459,c_419711]) ).
tff(c_419713,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_419630]) ).
tff(c_419751,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_419713,c_378]) ).
tff(c_419588,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_419583,c_332]) ).
tff(c_419715,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_419251,c_419588,c_164528]) ).
tff(c_419716,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_419715]) ).
tff(c_419723,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419716,c_246]) ).
tff(c_419744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_419723,c_419628]) ).
tff(c_419745,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_419715]) ).
tff(c_419762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_419751,c_419745]) ).
tff(c_419763,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_419582]) ).
tff(c_419770,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419763,c_360]) ).
tff(c_419827,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_419254,c_419770,c_402273]) ).
tff(c_419828,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_419827]) ).
tff(c_419832,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_419828,c_338]) ).
tff(c_419767,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419763,c_352]) ).
tff(c_419848,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_419251,c_419832,c_419767,c_164528]) ).
tff(c_419863,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_419848,c_419848,c_419763,c_178]) ).
tff(c_419864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_419863]) ).
tff(c_419865,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_419827]) ).
tff(c_419875,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_419865,c_376]) ).
tff(c_419765,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_419763,c_350]) ).
tff(c_419458,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_419259]) ).
tff(c_419933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_419875,c_419765,c_419458]) ).
tff(c_419935,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_419936,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_419234,c_274]) ).
tff(c_420952,plain,
( ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_419935,c_419936,c_50475]) ).
tff(c_420953,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_420952]) ).
tff(c_420957,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_420953,c_228]) ).
tff(c_421464,plain,
( ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_420957,c_419248,c_233154]) ).
tff(c_421465,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_421464]) ).
tff(c_420959,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_420953,c_222]) ).
tff(c_421428,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_419234,c_276]) ).
tff(c_421442,plain,
( ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_420959,c_421428,c_419231]) ).
tff(c_421443,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_421442]) ).
tff(c_421494,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_421465,c_421443,c_210]) ).
tff(c_421495,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_421464]) ).
tff(c_420958,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_420953,c_224]) ).
tff(c_421497,plain,
( ( op(e2,e2) = e2 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_420958,c_419249,c_130109]) ).
tff(c_421498,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_421497]) ).
tff(c_421526,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_421498,c_421443,c_206]) ).
tff(c_421527,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_421497]) ).
tff(c_421533,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_421527,c_252]) ).
tff(c_421553,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_421495,c_421533]) ).
tff(c_421554,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_421442]) ).
tff(c_421558,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_421554,c_250]) ).
tff(c_421577,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_420957,c_421558,c_419248,c_233154]) ).
tff(c_421590,plain,
op(e4,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_421577,c_212]) ).
tff(c_421559,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_421554,c_246]) ).
tff(c_421591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_421590,c_420958,c_421559,c_419249,c_130109]) ).
tff(c_421592,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_420952]) ).
tff(c_421598,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_421592,c_244]) ).
tff(c_422209,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_421598,c_419249,c_130109]) ).
tff(c_422210,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_422209]) ).
tff(c_421596,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_421592,c_242]) ).
tff(c_422000,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_419234,c_276]) ).
tff(c_422158,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_421596,c_422000,c_419231]) ).
tff(c_422159,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_422158]) ).
tff(c_422245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_422210,c_422159,c_206]) ).
tff(c_422246,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_422209]) ).
tff(c_421597,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_421592,c_248]) ).
tff(c_422036,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_421597,c_419248,c_233154]) ).
tff(c_422037,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_422036]) ).
tff(c_422001,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_421592,c_164528]) ).
tff(c_422002,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_421598,c_422001]) ).
tff(c_422003,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_422002]) ).
tff(c_422014,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_422003,c_419231]) ).
tff(c_422015,plain,
( ( op(e3,e3) = e3 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_422000,c_422014]) ).
tff(c_422016,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_422015]) ).
tff(c_422048,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_422037,c_422016,c_210]) ).
tff(c_422049,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_422036]) ).
tff(c_422054,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422049,c_232]) ).
tff(c_422063,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_421598,c_419249,c_130109]) ).
tff(c_422064,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_422063]) ).
tff(c_422082,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_422064,c_422016,c_206]) ).
tff(c_422083,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_422063]) ).
tff(c_422085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422054,c_422083]) ).
tff(c_422086,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_422015]) ).
tff(c_422088,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422086,c_226]) ).
tff(c_422090,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422086,c_230]) ).
tff(c_422108,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_422090,c_421597,c_419248,c_233154]) ).
tff(c_422097,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_421598,c_419249,c_130109]) ).
tff(c_422098,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_422097]) ).
tff(c_422131,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_422108,c_422098,c_212]) ).
tff(c_422132,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_422097]) ).
tff(c_422144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422088,c_422132]) ).
tff(c_422145,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_422002]) ).
tff(c_422179,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_422145,c_233154]) ).
tff(c_422180,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_419248,c_422179]) ).
tff(c_422181,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_422180]) ).
tff(c_422194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_422181,c_422159,c_210]) ).
tff(c_422195,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_422180]) ).
tff(c_422200,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422195,c_232]) ).
tff(c_422260,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_422246,c_422200]) ).
tff(c_422261,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_422158]) ).
tff(c_422276,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422261,c_230]) ).
tff(c_422283,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_422145,c_233154]) ).
tff(c_422284,plain,
op(e4,e1) = e4,
inference(negUnitSimplification,[status(thm)],[c_422276,c_412,c_419248,c_422283]) ).
tff(c_422263,plain,
( ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_421598,c_419249,c_130109]) ).
tff(c_422264,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_422263]) ).
tff(c_422310,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_422284,c_422264,c_212]) ).
tff(c_422311,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_422263]) ).
tff(c_422313,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_422311,c_226]) ).
tff(c_422333,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_422261,c_422313]) ).
tff(c_422334,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e4 ) ),
inference(splitRight,[status(thm)],[c_419233]) ).
tff(c_422892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422760,c_422819,c_422782,c_422334]) ).
tff(c_422893,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_422777]) ).
tff(c_422900,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_422893,c_270]) ).
tff(c_422932,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_422761,c_422900,c_233154]) ).
tff(c_422933,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_422932]) ).
tff(c_422968,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_422893,c_422933,c_422893,c_168]) ).
tff(c_422969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_422968]) ).
tff(c_422970,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_422932]) ).
tff(c_422975,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_422970,c_260]) ).
tff(c_423014,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_422760,c_422975,c_422334]) ).
tff(c_422762,plain,
op(e4,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_422338,c_204]) ).
tff(c_422977,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_422970,c_252]) ).
tff(c_422901,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_422893,c_266]) ).
tff(c_423001,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_422762,c_422977,c_422901,c_130109]) ).
tff(c_423003,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_423001,c_238]) ).
tff(c_423028,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_423014,c_423003]) ).
tff(c_423030,plain,
op(e4,e4) != e4,
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_426478,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_423030,c_50475]) ).
tff(c_426479,plain,
op(e3,e4) = e3,
inference(splitLeft,[status(thm)],[c_426478]) ).
tff(c_426485,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_426479,c_222]) ).
tff(c_424214,plain,
op(e3,e4) = e4,
inference(splitLeft,[status(thm)],[c_252827]) ).
tff(c_424227,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( e4 = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_424214,c_50475]) ).
tff(c_424228,plain,
( ( op(e1,e4) = e1 )
| ( op(e2,e4) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_423030,c_402,c_424227]) ).
tff(c_424229,plain,
op(e2,e4) = e2,
inference(splitLeft,[status(thm)],[c_424228]) ).
tff(c_424232,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_424229,c_304]) ).
tff(c_424235,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_424229,c_244]) ).
tff(c_424624,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_424229,c_164528]) ).
tff(c_424625,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_424235,c_424624]) ).
tff(c_424626,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_424625]) ).
tff(c_424634,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_424626,c_332]) ).
tff(c_423031,plain,
op(e1,e4) = e4,
inference(splitLeft,[status(thm)],[c_85116]) ).
tff(c_423163,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_402273]) ).
tff(c_423204,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_423031,c_423163,c_320]) ).
tff(c_423205,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_402273]) ).
tff(c_423998,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_423205]) ).
tff(c_424007,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_423998,c_376]) ).
tff(c_424003,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_423998,c_378]) ).
tff(c_423038,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_423031,c_312]) ).
tff(c_423332,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_423038,c_164528]) ).
tff(c_423333,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_423332]) ).
tff(c_423334,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_423333,c_324]) ).
tff(c_423029,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_208864]) ).
tff(c_423594,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_423334,c_423029]) ).
tff(c_423595,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_423594]) ).
tff(c_423572,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_423031,c_158]) ).
tff(c_423596,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_423595,c_423595,c_423572]) ).
tff(c_423606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_423596]) ).
tff(c_423607,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_423594]) ).
tff(c_423613,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_423607,c_354]) ).
tff(c_423339,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_423333,c_338]) ).
tff(c_423621,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_423613,c_423339,c_423205]) ).
tff(c_423630,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_423621,c_376]) ).
tff(c_423616,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_423607,c_342]) ).
tff(c_423036,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_423031,c_310]) ).
tff(c_423043,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_423036,c_252827]) ).
tff(c_423044,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_423043]) ).
tff(c_423049,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_423044,c_222]) ).
tff(c_423056,plain,
( ( e4 = e1 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_423031,c_50475]) ).
tff(c_423057,plain,
op(e2,e4) = e2,
inference(negUnitSimplification,[status(thm)],[c_423030,c_423049,c_408,c_423056]) ).
tff(c_423063,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_423057,c_244]) ).
tff(c_423073,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_423057,c_164528]) ).
tff(c_423074,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_423063,c_423073]) ).
tff(c_423075,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_423074]) ).
tff(c_423088,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_423075,c_423044,c_326]) ).
tff(c_423089,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_423074]) ).
tff(c_423098,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_423089,c_372]) ).
tff(c_423047,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_423044,c_230]) ).
tff(c_423103,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_423089,c_233154]) ).
tff(c_423104,plain,
( ( op(e1,e1) = e1 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_423047,c_412,c_423103]) ).
tff(c_423105,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_423104]) ).
tff(c_423112,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_423105,c_220]) ).
tff(c_423046,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_423044,c_236]) ).
tff(c_423059,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_423057,c_254]) ).
tff(c_423157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_423112,c_423046,c_423059,c_422334]) ).
tff(c_423158,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_423104]) ).
tff(c_423160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_423098,c_423158]) ).
tff(c_423161,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_423043]) ).
tff(c_423639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_423630,c_423616,c_423161]) ).
tff(c_423640,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_423332]) ).
tff(c_424016,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_424003,c_423640]) ).
tff(c_424020,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_424016,c_346]) ).
tff(c_424034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424007,c_424020,c_423161]) ).
tff(c_424035,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_423205]) ).
tff(c_424072,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_424035]) ).
tff(c_424076,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_424072,c_334]) ).
tff(c_424100,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_423161]) ).
tff(c_424105,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_424100,c_366]) ).
tff(c_423954,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_423029]) ).
tff(c_423852,plain,
op(e4,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_423031,c_158]) ).
tff(c_423955,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_423954,c_423954,c_423852]) ).
tff(c_423965,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_423955]) ).
tff(c_423966,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_423029]) ).
tff(c_424127,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_424076,c_423966]) ).
tff(c_424136,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_424127,c_344]) ).
tff(c_424150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424105,c_424136,c_423640]) ).
tff(c_424151,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_423161]) ).
tff(c_424161,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_424151,c_342]) ).
tff(c_424167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424076,c_424161,c_423966]) ).
tff(c_424168,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_424035]) ).
tff(c_424174,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_424168,c_356]) ).
tff(c_424184,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_424174,c_423161]) ).
tff(c_424189,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_424184,c_366]) ).
tff(c_424172,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_424168,c_358]) ).
tff(c_424211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424189,c_424172,c_423640]) ).
tff(c_424212,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_85116]) ).
tff(c_424706,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_424634,c_424212]) ).
tff(c_424707,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_424706]) ).
tff(c_424712,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_424707,c_368]) ).
tff(c_424628,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_424626,c_324]) ).
tff(c_424761,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_424712,c_424628,c_423029]) ).
tff(c_424756,plain,
op(e2,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_424229,c_156]) ).
tff(c_424762,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_424761,c_424756]) ).
tff(c_424775,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_424762,c_424762,c_176]) ).
tff(c_424784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424232,c_424775]) ).
tff(c_424786,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_424706]) ).
tff(c_424785,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_424706]) ).
tff(c_424601,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_424235,c_130109]) ).
tff(c_424602,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_424601]) ).
tff(c_424620,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_424602,c_424602,c_424229,c_172]) ).
tff(c_424621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_424620]) ).
tff(c_424622,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_424601]) ).
tff(c_424834,plain,
( ( op(e3,e2) = e3 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_424785,c_424622]) ).
tff(c_424835,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_412,c_424834]) ).
tff(c_424843,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_424835,c_232]) ).
tff(c_424234,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_424229,c_248]) ).
tff(c_424648,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_424234,c_233154]) ).
tff(c_424649,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_424648]) ).
tff(c_424679,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_424649,c_423029]) ).
tff(c_424680,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_424628,c_424679]) ).
tff(c_424698,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_424680,c_424229,c_172]) ).
tff(c_424699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424235,c_424698]) ).
tff(c_424700,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_424648]) ).
tff(c_424871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424786,c_424843,c_424700]) ).
tff(c_424872,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_424625]) ).
tff(c_424881,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_424872,c_372]) ).
tff(c_424886,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_424872,c_233154]) ).
tff(c_424887,plain,
( ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_412,c_424881,c_424886]) ).
tff(c_424888,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_424887]) ).
tff(c_424896,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_424888,c_220]) ).
tff(c_424231,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_424229,c_254]) ).
tff(c_424951,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_424896,c_424231,c_422334]) ).
tff(c_424955,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_424951,c_238]) ).
tff(c_425009,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_424955,c_424622]) ).
tff(c_424946,plain,
op(e1,op(e1,e2)) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_424872,c_186]) ).
tff(c_425011,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_425009,c_424946]) ).
tff(c_425021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424881,c_425011]) ).
tff(c_425022,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_424887]) ).
tff(c_425029,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_425022,c_230]) ).
tff(c_424877,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_424872,c_364]) ).
tff(c_425040,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_424877,c_423029]) ).
tff(c_425041,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_425040]) ).
tff(c_425047,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_425041,c_348]) ).
tff(c_425104,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_424881,c_425047,c_424212]) ).
tff(c_425060,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_425022,c_168]) ).
tff(c_425105,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_425104,c_425060]) ).
tff(c_425115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_425029,c_425105]) ).
tff(c_425116,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_425040]) ).
tff(c_425162,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_425116,c_425116,c_424214,c_154]) ).
tff(c_425163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_425162]) ).
tff(c_425164,plain,
op(e1,e4) = e1,
inference(splitRight,[status(thm)],[c_424228]) ).
tff(c_425169,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_425164,c_268]) ).
tff(c_426284,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_425169,c_424212]) ).
tff(c_426285,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_426284]) ).
tff(c_426291,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_426285,c_348]) ).
tff(c_426339,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_426291,c_423029]) ).
tff(c_426340,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_426339]) ).
tff(c_426275,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_425164,c_182]) ).
tff(c_426341,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_426340,c_426275]) ).
tff(c_426352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_425169,c_426341]) ).
tff(c_426353,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_426339]) ).
tff(c_426322,plain,
op(e4,op(e4,e3)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_424214,c_154]) ).
tff(c_426355,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_426353,c_426353,c_426322]) ).
tff(c_426366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_426355]) ).
tff(c_426367,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_426284]) ).
tff(c_426370,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_426367,c_328]) ).
tff(c_426414,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_426370,c_423029]) ).
tff(c_426415,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_426414]) ).
tff(c_426416,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_426415,c_426275]) ).
tff(c_426427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_425169,c_426416]) ).
tff(c_426428,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_426414]) ).
tff(c_426438,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_426428,c_344]) ).
tff(c_424222,plain,
op(e0,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_424214,c_316]) ).
tff(c_424221,plain,
op(e2,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_424214,c_306]) ).
tff(c_425321,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_424221,c_164528]) ).
tff(c_425322,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_425321]) ).
tff(c_425328,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_425322,c_338]) ).
tff(c_425472,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_424222,c_425328,c_402273]) ).
tff(c_425473,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_425472]) ).
tff(c_425478,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_425473,c_360]) ).
tff(c_425329,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_425322,c_332]) ).
tff(c_425507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_425169,c_425478,c_425329,c_424212]) ).
tff(c_425508,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_425472]) ).
tff(c_425517,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_425508,c_374]) ).
tff(c_425630,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_425169,c_425329,c_424212]) ).
tff(c_425636,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_425630,c_348]) ).
tff(c_425607,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_425322,c_324]) ).
tff(c_425692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_425517,c_425636,c_425607,c_423029]) ).
tff(c_425693,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_425321]) ).
tff(c_426444,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_426438,c_425693]) ).
tff(c_426452,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_426444,c_378]) ).
tff(c_426436,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_426428,c_354]) ).
tff(c_425735,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_424222,c_402273]) ).
tff(c_425736,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_425735]) ).
tff(c_425738,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_425736,c_334]) ).
tff(c_425962,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_425738,c_423029]) ).
tff(c_425963,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_425962]) ).
tff(c_425970,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_425963,c_364]) ).
tff(c_425744,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_425736,c_340]) ).
tff(c_425957,plain,
op(e1,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_425164,c_158]) ).
tff(c_425964,plain,
op(e1,e1) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_425963,c_425957]) ).
tff(c_426007,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_425964,c_424212]) ).
tff(c_426008,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_408,c_425744,c_426007]) ).
tff(c_426012,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_426008,c_352]) ).
tff(c_426072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_425970,c_426012,c_425693]) ).
tff(c_426073,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_425962]) ).
tff(c_426081,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_426073,c_348]) ).
tff(c_426120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_425169,c_426081,c_425744,c_424212]) ).
tff(c_426121,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_425735]) ).
tff(c_426475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426452,c_426436,c_426121]) ).
tff(c_426476,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_252827]) ).
tff(c_428376,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_426485,c_426476]) ).
tff(c_428377,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_428376]) ).
tff(c_428387,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428377,c_370]) ).
tff(c_428381,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428377,c_362]) ).
tff(c_428396,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_428381,c_423029]) ).
tff(c_428397,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_428396]) ).
tff(c_428405,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428397,c_348]) ).
tff(c_428416,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_428387,c_428405,c_424212]) ).
tff(c_428379,plain,
op(op(e1,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_428377,c_168]) ).
tff(c_428417,plain,
op(e3,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_428416,c_428379]) ).
tff(c_428426,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_428377,c_428417]) ).
tff(c_428428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_428426]) ).
tff(c_428429,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_428396]) ).
tff(c_427387,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_426479,c_162]) ).
tff(c_428432,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_428429,c_427387]) ).
tff(c_428442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426485,c_428432]) ).
tff(c_428443,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_428376]) ).
tff(c_428453,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428443,c_342]) ).
tff(c_428459,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_428453,c_423029]) ).
tff(c_428460,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_428459]) ).
tff(c_428468,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428460,c_364]) ).
tff(c_428451,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428443,c_346]) ).
tff(c_428469,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428460,c_368]) ).
tff(c_428449,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428443,c_350]) ).
tff(c_428479,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_428469,c_428449,c_424212]) ).
tff(c_428489,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_428479,c_332]) ).
tff(c_426483,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_426479,c_228]) ).
tff(c_427632,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_426483,c_233154]) ).
tff(c_427633,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_427632]) ).
tff(c_427642,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_427633,c_220]) ).
tff(c_426486,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_426479,c_234]) ).
tff(c_426493,plain,
( ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e4,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_426485,c_419231]) ).
tff(c_426494,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_426493]) ).
tff(c_426524,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_426494,c_426494,c_426479,c_162]) ).
tff(c_426525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_426524]) ).
tff(c_426526,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_426493]) ).
tff(c_427878,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_426526]) ).
tff(c_427882,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_427878,c_330]) ).
tff(c_427893,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_427633,c_423029]) ).
tff(c_427894,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_427893]) ).
tff(c_427895,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_427894]) ).
tff(c_427904,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_427895,c_342]) ).
tff(c_427910,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_427904,c_426485,c_426476]) ).
tff(c_427880,plain,
op(e1,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_427878,c_168]) ).
tff(c_427923,plain,
op(e1,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_427910,c_427880]) ).
tff(c_427926,plain,
op(e3,e3) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_427923,c_427923,c_188]) ).
tff(c_427933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_427882,c_427926]) ).
tff(c_427934,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_427894]) ).
tff(c_427968,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_427934,c_427387]) ).
tff(c_427977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426485,c_427968]) ).
tff(c_427978,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_426526]) ).
tff(c_428001,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_427978,c_256]) ).
tff(c_428026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_427642,c_426486,c_428001,c_422334]) ).
tff(c_428027,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_427632]) ).
tff(c_428121,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_428027]) ).
tff(c_428127,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428121,c_368]) ).
tff(c_428155,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_428127,c_423029]) ).
tff(c_428156,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_428155]) ).
tff(c_428061,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_428078,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_428061,c_156]) ).
tff(c_428158,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_428156,c_428156,c_428078]) ).
tff(c_428167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_428158]) ).
tff(c_428168,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_428155]) ).
tff(c_428171,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_428168,c_427387]) ).
tff(c_428181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426485,c_428171]) ).
tff(c_428183,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_428027]) ).
tff(c_428198,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_428183,c_424212]) ).
tff(c_428199,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_428198]) ).
tff(c_428204,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428199,c_348]) ).
tff(c_428212,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_428204,c_423029]) ).
tff(c_428213,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_428212]) ).
tff(c_428221,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428213,c_362]) ).
tff(c_428203,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428199,c_350]) ).
tff(c_428236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428221,c_428203,c_426485,c_426476]) ).
tff(c_428237,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_428212]) ).
tff(c_428240,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_428237,c_427387]) ).
tff(c_428250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426485,c_428240]) ).
tff(c_428251,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_428198]) ).
tff(c_428255,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_428251,c_328]) ).
tff(c_428267,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_428255,c_423029]) ).
tff(c_428268,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_428267]) ).
tff(c_428278,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428268,c_374]) ).
tff(c_428276,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428268,c_362]) ).
tff(c_428283,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_428276,c_426485,c_426476]) ).
tff(c_428289,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428283,c_356]) ).
tff(c_428261,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_428251,c_340]) ).
tff(c_427195,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_424212]) ).
tff(c_427204,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_427195,c_370]) ).
tff(c_427201,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_427195,c_368]) ).
tff(c_427213,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_427201,c_423029]) ).
tff(c_427214,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_427213]) ).
tff(c_427223,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_427214,c_342]) ).
tff(c_427229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_427204,c_427223,c_426485,c_426476]) ).
tff(c_427230,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_427213]) ).
tff(c_426724,plain,
op(op(e4,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_426479,c_162]) ).
tff(c_427232,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_427230,c_426724]) ).
tff(c_427244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426485,c_427232]) ).
tff(c_427246,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_424212]) ).
tff(c_427318,plain,
( ( op(e2,e0) = e2 )
| ( op(e4,e0) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_426486,c_422334]) ).
tff(c_427319,plain,
op(e4,e0) = e4,
inference(splitLeft,[status(thm)],[c_427318]) ).
tff(c_426528,plain,
op(e0,e4) = e4,
inference(splitLeft,[status(thm)],[c_402273]) ).
tff(c_427190,plain,
op(e4,op(e4,e0)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_426528,c_160]) ).
tff(c_427321,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_427319,c_427190]) ).
tff(c_427332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_423030,c_427321]) ).
tff(c_427333,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_427318]) ).
tff(c_427341,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_427333,c_260]) ).
tff(c_426932,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_426485,c_426476]) ).
tff(c_426933,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_426932]) ).
tff(c_426942,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_426933,c_370]) ).
tff(c_426737,plain,
( ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_426483,c_233154]) ).
tff(c_426738,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_426737]) ).
tff(c_426956,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_426738,c_423029]) ).
tff(c_426957,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_426956]) ).
tff(c_426958,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_426957]) ).
tff(c_426964,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_426958,c_348]) ).
tff(c_426986,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_426942,c_426964,c_424212]) ).
tff(c_426935,plain,
op(op(e1,e3),e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_426933,c_168]) ).
tff(c_426987,plain,
op(e3,e1) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_426986,c_426935]) ).
tff(c_426996,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_426933,c_426987]) ).
tff(c_426998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410,c_426996]) ).
tff(c_426999,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_426957]) ).
tff(c_427001,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_426999,c_426724]) ).
tff(c_427012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426485,c_427001]) ).
tff(c_427013,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_426932]) ).
tff(c_427023,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_427013,c_342]) ).
tff(c_427029,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 )
| ( e4 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_426738,c_423029]) ).
tff(c_427030,plain,
op(e4,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_408,c_427023,c_427029]) ).
tff(c_427031,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_427030,c_426724]) ).
tff(c_427042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426485,c_427031]) ).
tff(c_427043,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_426737]) ).
tff(c_427380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_427246,c_427341,c_427043]) ).
tff(c_427381,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_402273]) ).
tff(c_428314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428278,c_428289,c_428261,c_427381]) ).
tff(c_428315,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_428267]) ).
tff(c_428318,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_428315,c_428315,c_428078]) ).
tff(c_428328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_428318]) ).
tff(c_428329,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_428506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428468,c_428451,c_428489,c_428329]) ).
tff(c_428507,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_428459]) ).
tff(c_428510,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_428507,c_427387]) ).
tff(c_428520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426485,c_428510]) ).
tff(c_428521,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e1 ) ),
inference(splitRight,[status(thm)],[c_426478]) ).
tff(c_428523,plain,
op(e1,e4) = e1,
inference(splitLeft,[status(thm)],[c_428521]) ).
tff(c_428528,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428523,c_268]) ).
tff(c_429856,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_428528,c_424212]) ).
tff(c_429857,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_429856]) ).
tff(c_429861,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_429857,c_352]) ).
tff(c_429863,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_429857,c_350]) ).
tff(c_429864,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_429857,c_348]) ).
tff(c_429876,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_429864,c_423029]) ).
tff(c_429877,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_429876]) ).
tff(c_429815,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_428523,c_182]) ).
tff(c_429878,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_429877,c_429815]) ).
tff(c_429890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428528,c_429878]) ).
tff(c_429891,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_429876]) ).
tff(c_429901,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_429891,c_322]) ).
tff(c_429908,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_429863,c_429901,c_426476]) ).
tff(c_429534,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_428528,c_233154]) ).
tff(c_429535,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_429534]) ).
tff(c_429521,plain,
op(e1,op(e4,e1)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_428523,c_158]) ).
tff(c_429536,plain,
op(e1,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_429535,c_429521]) ).
tff(c_429545,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_428523,c_429536]) ).
tff(c_429547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_429545]) ).
tff(c_429548,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_429534]) ).
tff(c_429959,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_429908,c_429548]) ).
tff(c_429960,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_429959]) ).
tff(c_429859,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_429857,c_178]) ).
tff(c_429963,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_429960,c_429859]) ).
tff(c_429972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_429861,c_429963]) ).
tff(c_429973,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_429856]) ).
tff(c_429978,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_429973,c_328]) ).
tff(c_430005,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_429978,c_423029]) ).
tff(c_430006,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_430005]) ).
tff(c_430007,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_430006,c_429815]) ).
tff(c_430019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428528,c_430007]) ).
tff(c_430020,plain,
op(e4,e2) = e2,
inference(splitRight,[status(thm)],[c_430005]) ).
tff(c_430080,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_430020,c_342]) ).
tff(c_429979,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_429973,c_330]) ).
tff(c_430022,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_429979,c_426476]) ).
tff(c_430023,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_430022]) ).
tff(c_430040,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_430023,c_366]) ).
tff(c_430032,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_430020,c_344]) ).
tff(c_428537,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_419231]) ).
tff(c_428541,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_428537,c_210]) ).
tff(c_428563,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_428541,c_428528,c_233154]) ).
tff(c_428564,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_428563]) ).
tff(c_428570,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_428564,c_230]) ).
tff(c_428539,plain,
op(e4,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_428537,c_206]) ).
tff(c_428568,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_428564,c_232]) ).
tff(c_428527,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428523,c_264]) ).
tff(c_428577,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_428539,c_428568,c_428527,c_130109]) ).
tff(c_428580,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428577,c_352]) ).
tff(c_428651,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_428528,c_428580,c_424212]) ).
tff(c_428646,plain,
op(op(e1,e3),e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_428564,c_168]) ).
tff(c_428652,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_428651,c_428646]) ).
tff(c_428662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428570,c_428652]) ).
tff(c_428663,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_428563]) ).
tff(c_428669,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428663,c_252]) ).
tff(c_428545,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_428537,c_216]) ).
tff(c_428677,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_428539,c_428527,c_130109]) ).
tff(c_428678,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_428677]) ).
tff(c_428679,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_428678,c_238]) ).
tff(c_428666,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_428663,c_260]) ).
tff(c_428874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428545,c_428679,c_428666,c_422334]) ).
tff(c_428875,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_428677]) ).
tff(c_428877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428669,c_428875]) ).
tff(c_428878,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_419231]) ).
tff(c_430051,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_429973,c_428878]) ).
tff(c_430052,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_429979,c_430051]) ).
tff(c_429317,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_428528,c_424212]) ).
tff(c_429318,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_429317]) ).
tff(c_429324,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_429318,c_348]) ).
tff(c_429336,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_429324,c_423029]) ).
tff(c_429337,plain,
op(e4,e1) = e1,
inference(splitLeft,[status(thm)],[c_429336]) ).
tff(c_429153,plain,
op(op(e4,e1),e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_428523,c_182]) ).
tff(c_429338,plain,
op(e1,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_429337,c_429153]) ).
tff(c_429349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428528,c_429338]) ).
tff(c_429350,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_429336]) ).
tff(c_429360,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_429350,c_322]) ).
tff(c_429323,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_429318,c_350]) ).
tff(c_428526,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_428523,c_262]) ).
tff(c_429206,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_426476]) ).
tff(c_429209,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_429206,c_362]) ).
tff(c_429229,plain,
( ( op(e4,e3) = e3 )
| ( op(e4,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_429209,c_423029]) ).
tff(c_429230,plain,
op(e4,e2) = e2,
inference(splitLeft,[status(thm)],[c_429229]) ).
tff(c_428880,plain,
op(e2,e4) = e4,
inference(splitLeft,[status(thm)],[c_164528]) ).
tff(c_428897,plain,
op(e4,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_428880,c_156]) ).
tff(c_429233,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_429230,c_429230,c_428897]) ).
tff(c_429242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_429233]) ).
tff(c_429243,plain,
op(e4,e3) = e3,
inference(splitRight,[status(thm)],[c_429229]) ).
tff(c_429253,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_429243,c_322]) ).
tff(c_429285,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_428526,c_429253,c_428878]) ).
tff(c_429291,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_429285,c_250]) ).
tff(c_428906,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_428528,c_233154]) ).
tff(c_428907,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_428906]) ).
tff(c_428920,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_428523,c_428907,c_428523,c_158]) ).
tff(c_428921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_408,c_428920]) ).
tff(c_428922,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_428906]) ).
tff(c_429313,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_429206,c_428922]) ).
tff(c_429314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_429291,c_410,c_429313]) ).
tff(c_429315,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_426476]) ).
tff(c_429426,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_429360,c_429323,c_429315]) ).
tff(c_429427,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_429317]) ).
tff(c_429433,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_429427,c_330]) ).
tff(c_429458,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_429427,c_428878]) ).
tff(c_429459,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_429433,c_429458]) ).
tff(c_429466,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_429459,c_250]) ).
tff(c_429485,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_429466,c_428922]) ).
tff(c_429430,plain,
op(e3,op(e3,e1)) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_429427,c_168]) ).
tff(c_429487,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_429485,c_429430]) ).
tff(c_429498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_429433,c_429487]) ).
tff(c_429499,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_164528]) ).
tff(c_430067,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430052,c_429499]) ).
tff(c_430068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430040,c_430032,c_406,c_430067]) ).
tff(c_430069,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_430022]) ).
tff(c_430086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430080,c_430069]) ).
tff(c_430087,plain,
op(e2,e4) = e2,
inference(splitRight,[status(thm)],[c_428521]) ).
tff(c_430092,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_248]) ).
tff(c_430826,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_430092,c_233154]) ).
tff(c_430827,plain,
op(e4,e1) = e4,
inference(splitLeft,[status(thm)],[c_430826]) ).
tff(c_430835,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_430827,c_220]) ).
tff(c_430089,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_254]) ).
tff(c_430939,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_430835,c_430089,c_422334]) ).
tff(c_430093,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_244]) ).
tff(c_430436,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_164528]) ).
tff(c_430437,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_430436]) ).
tff(c_430438,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_430437]) ).
tff(c_430440,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_430438,c_326]) ).
tff(c_430571,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_430093,c_130109]) ).
tff(c_430572,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_430571]) ).
tff(c_430558,plain,
op(e2,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_156]) ).
tff(c_430573,plain,
op(e2,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_430572,c_430558]) ).
tff(c_430582,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_430573]) ).
tff(c_430584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_430582]) ).
tff(c_430585,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_430571]) ).
tff(c_430587,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_430585]) ).
tff(c_430594,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_430587,c_266]) ).
tff(c_430090,plain,
op(e4,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_304]) ).
tff(c_430101,plain,
op(e4,e3) = e4,
inference(splitLeft,[status(thm)],[c_419231]) ).
tff(c_430103,plain,
op(e4,e2) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_430101,c_206]) ).
tff(c_430105,plain,
op(e4,e1) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_430101,c_210]) ).
tff(c_430129,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_430105,c_430092,c_233154]) ).
tff(c_430130,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_430129]) ).
tff(c_430134,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_430130,c_232]) ).
tff(c_430143,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_430103,c_430134,c_430093,c_130109]) ).
tff(c_430151,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_430143,c_272]) ).
tff(c_430114,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e3 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_164528]) ).
tff(c_430115,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_404,c_430093,c_430114]) ).
tff(c_430116,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_430115]) ).
tff(c_430124,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_430116,c_332]) ).
tff(c_430201,plain,
( ( op(e1,e3) = e3 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430143,c_424212]) ).
tff(c_430202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430151,c_412,c_430124,c_430201]) ).
tff(c_430203,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_430129]) ).
tff(c_430209,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_430203,c_368]) ).
tff(c_430311,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430101,c_423029]) ).
tff(c_430312,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_430209,c_402,c_430311]) ).
tff(c_430298,plain,
op(e2,op(e4,e2)) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_156]) ).
tff(c_430313,plain,
op(e2,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_430312,c_430298]) ).
tff(c_430326,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_430313,c_430313,c_176]) ).
tff(c_430334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430090,c_430326]) ).
tff(c_430335,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_430115]) ).
tff(c_430340,plain,
op(e4,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_430335,c_364]) ).
tff(c_430396,plain,
( ( e4 = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430101,c_423029]) ).
tff(c_430397,plain,
op(e4,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_430340,c_402,c_430396]) ).
tff(c_430432,plain,
op(e2,e2) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_430397,c_430087,c_172]) ).
tff(c_430433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430093,c_430432]) ).
tff(c_430434,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_419231]) ).
tff(c_430666,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430438,c_430434]) ).
tff(c_430667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430594,c_406,c_430440,c_430666]) ).
tff(c_430668,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_430585]) ).
tff(c_430714,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_430668,c_430438,c_166]) ).
tff(c_430715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430440,c_430714]) ).
tff(c_430716,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_430437]) ).
tff(c_430913,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_430093,c_430716]) ).
tff(c_430091,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_430087,c_242]) ).
tff(c_430853,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_430091,c_430434]) ).
tff(c_430854,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_430853]) ).
tff(c_430859,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_430854,c_270]) ).
tff(c_430880,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430854,c_424212]) ).
tff(c_430881,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_430859,c_410,c_430880]) ).
tff(c_430883,plain,
op(e2,op(e2,e1)) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_430881,c_178]) ).
tff(c_430914,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_430913,c_430913,c_430883]) ).
tff(c_430924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_412,c_430914]) ).
tff(c_430925,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_430853]) ).
tff(c_430931,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_430925,c_236]) ).
tff(c_430953,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_430939,c_430931]) ).
tff(c_430954,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_430826]) ).
tff(c_430956,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_430954]) ).
tff(c_430962,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_430956,c_272]) ).
tff(c_430958,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_430956,c_270]) ).
tff(c_430969,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_430958,c_430091,c_430434]) ).
tff(c_430973,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_430969,c_226]) ).
tff(c_430736,plain,
( ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_430093,c_130109]) ).
tff(c_430737,plain,
op(e4,e2) = e4,
inference(splitLeft,[status(thm)],[c_430736]) ).
tff(c_430822,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_430737,c_430737,c_430087,c_172]) ).
tff(c_430823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_404,c_430822]) ).
tff(c_430824,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_430736]) ).
tff(c_430983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430962,c_430973,c_430824]) ).
tff(c_430984,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_430954]) ).
tff(c_430991,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_430984,c_230]) ).
tff(c_431021,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430984,c_426476]) ).
tff(c_431022,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_430991,c_431021]) ).
tff(c_431039,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_431022,c_430824]) ).
tff(c_431040,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_431039]) ).
tff(c_431047,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_431040,c_266]) ).
tff(c_431102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_431047,c_430091,c_430991,c_430434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG165+1 : TPTP v9.0.0. Released v2.7.0.
% 0.08/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Apr 6 07:07:03 EDT 2025
% 0.14/0.36 % CPUTime :
% 152.65/137.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 239.89/222.51
% 239.89/222.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------