%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG132+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n028.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 05:24:18 PM UTC 2025
% Result : Unsatisfiable 30.24s 17.17s
% Output : CNFRefutation 62.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 29
% Syntax : Number of formulae : 17865 (13307 unt; 0 typ; 0 def)
% Number of atoms : 28103 (26059 equ)
% Maximal formula atoms : 128 ( 1 avg)
% Number of connectives : 15600 (5362 ~;10080 |; 158 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 2 avg)
% Maximal term depth : 4 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > 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(e3,type,
e3: $i ).
tff(f_567,axiom,
( ( e0 != e1 )
& ( e0 != e2 )
& ( e0 != e3 )
& ( e1 != e2 )
& ( e1 != e3 )
& ( e2 != e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f_407,axiom,
( ( ( op(e0,e0) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) )
& ( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e3,e0) = e0 ) )
& ( ( op(e0,e0) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) )
& ( ( op(e0,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e3,e0) = e1 ) )
& ( ( op(e0,e0) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) )
& ( ( op(e0,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e2 ) )
& ( ( op(e0,e0) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) )
& ( ( op(e0,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e3,e0) = e3 ) )
& ( ( op(e1,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) )
& ( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) )
& ( ( op(e1,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e3) = e1 ) )
& ( ( op(e0,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e3,e1) = e1 ) )
& ( ( op(e1,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) )
& ( ( op(e0,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e2 ) )
& ( ( op(e1,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 ) )
& ( ( op(e0,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e3,e1) = e3 ) )
& ( ( op(e2,e0) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) )
& ( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e2) = e0 ) )
& ( ( op(e2,e0) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e3) = e1 ) )
& ( ( op(e0,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e2) = e1 ) )
& ( ( op(e2,e0) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e2 ) )
& ( ( op(e0,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e2 ) )
& ( ( op(e2,e0) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e3) = e3 ) )
& ( ( op(e0,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) )
& ( ( op(e3,e0) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 ) )
& ( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e3,e3) = e0 ) )
& ( ( op(e3,e0) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e3) = e1 ) )
& ( ( op(e0,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e3,e3) = e1 ) )
& ( ( op(e3,e0) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) )
& ( ( op(e0,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e2 ) )
& ( ( op(e3,e0) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e3,e3) = e3 ) )
& ( ( op(e0,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e3,e3) = e3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f_550,axiom,
( ( op(e0,e0) != op(e1,e0) )
& ( op(e0,e0) != op(e2,e0) )
& ( op(e0,e0) != op(e3,e0) )
& ( op(e1,e0) != op(e2,e0) )
& ( op(e1,e0) != op(e3,e0) )
& ( op(e2,e0) != op(e3,e0) )
& ( op(e0,e1) != op(e1,e1) )
& ( op(e0,e1) != op(e2,e1) )
& ( op(e0,e1) != op(e3,e1) )
& ( op(e1,e1) != op(e2,e1) )
& ( op(e1,e1) != op(e3,e1) )
& ( op(e2,e1) != op(e3,e1) )
& ( op(e0,e2) != op(e1,e2) )
& ( op(e0,e2) != op(e2,e2) )
& ( op(e0,e2) != op(e3,e2) )
& ( op(e1,e2) != op(e2,e2) )
& ( op(e1,e2) != op(e3,e2) )
& ( op(e2,e2) != op(e3,e2) )
& ( op(e0,e3) != op(e1,e3) )
& ( op(e0,e3) != op(e2,e3) )
& ( op(e0,e3) != op(e3,e3) )
& ( op(e1,e3) != op(e2,e3) )
& ( op(e1,e3) != op(e3,e3) )
& ( op(e2,e3) != op(e3,e3) )
& ( op(e0,e0) != op(e0,e1) )
& ( op(e0,e0) != op(e0,e2) )
& ( op(e0,e0) != op(e0,e3) )
& ( op(e0,e1) != op(e0,e2) )
& ( op(e0,e1) != op(e0,e3) )
& ( op(e0,e2) != op(e0,e3) )
& ( op(e1,e0) != op(e1,e1) )
& ( op(e1,e0) != op(e1,e2) )
& ( op(e1,e0) != op(e1,e3) )
& ( op(e1,e1) != op(e1,e2) )
& ( op(e1,e1) != op(e1,e3) )
& ( op(e1,e2) != op(e1,e3) )
& ( op(e2,e0) != op(e2,e1) )
& ( op(e2,e0) != op(e2,e2) )
& ( op(e2,e0) != op(e2,e3) )
& ( op(e2,e1) != op(e2,e2) )
& ( op(e2,e1) != op(e2,e3) )
& ( op(e2,e2) != op(e2,e3) )
& ( op(e3,e0) != op(e3,e1) )
& ( op(e3,e0) != op(e3,e2) )
& ( op(e3,e0) != op(e3,e3) )
& ( op(e3,e1) != op(e3,e2) )
& ( op(e3,e1) != op(e3,e3) )
& ( op(e3,e2) != op(e3,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f_152,axiom,
( ( ( op(e0,e0) = e0 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) )
& ( ( op(e0,e1) = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) )
& ( ( op(e0,e2) = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 ) )
& ( ( op(e0,e3) = e0 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) )
& ( ( op(e1,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) )
& ( ( op(e1,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) )
& ( ( op(e1,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) )
& ( ( op(e1,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) )
& ( ( op(e2,e0) = e0 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) )
& ( ( op(e2,e1) = e0 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) )
& ( ( op(e2,e2) = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) )
& ( ( op(e2,e3) = e0 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) )
& ( ( op(e3,e0) = e0 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) )
& ( ( op(e3,e1) = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) )
& ( ( op(e3,e2) = e0 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) )
& ( ( op(e3,e3) = e0 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f_598,axiom,
( ( ( op(e0,op(e0,e0)) = e0 )
& ( op(e1,op(e0,e1)) = e1 )
& ( op(e2,op(e0,e2)) = e2 )
& ( op(e3,op(e0,e3)) = e3 ) )
| ( ( op(e0,op(e1,e0)) = e0 )
& ( op(e1,op(e1,e1)) = e1 )
& ( op(e2,op(e1,e2)) = e2 )
& ( op(e3,op(e1,e3)) = e3 ) )
| ( ( op(e0,op(e2,e0)) = e0 )
& ( op(e1,op(e2,e1)) = e1 )
& ( op(e2,op(e2,e2)) = e2 )
& ( op(e3,op(e2,e3)) = e3 ) )
| ( ( op(e0,op(e3,e0)) = e0 )
& ( op(e1,op(e3,e1)) = e1 )
& ( op(e2,op(e3,e2)) = e2 )
& ( op(e3,op(e3,e3)) = e3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f_658,axiom,
~ ( ( e1 = op(e3,e3) )
& ( e2 = op(e3,op(e3,e3)) )
& ( e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
tff(f_676,axiom,
~ ( ( e2 = op(e1,e1) )
& ( e0 = op(e1,op(e1,e1)) )
& ( e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
tff(f_664,axiom,
~ ( ( e1 = op(e0,e0) )
& ( e3 = op(e0,op(e0,e0)) )
& ( e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
tff(f_700,axiom,
~ ( ( e2 = op(e0,e0) )
& ( e3 = op(e0,op(e0,e0)) )
& ( e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
tff(f_640,axiom,
~ ( ( e1 = op(e2,e2) )
& ( e0 = op(e2,op(e2,e2)) )
& ( e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
tff(f_694,axiom,
~ ( ( e2 = op(e3,e3) )
& ( e1 = op(e3,op(e3,e3)) )
& ( e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
tff(f_616,axiom,
~ ( ( e0 = op(e1,e1) )
& ( e2 = op(e1,op(e1,e1)) )
& ( e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
tff(f_688,axiom,
~ ( ( e2 = op(e0,e0) )
& ( e1 = op(e0,op(e0,e0)) )
& ( e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
tff(f_742,axiom,
~ ( ( e3 = op(e1,e1) )
& ( e2 = op(e1,op(e1,e1)) )
& ( e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
tff(f_712,axiom,
~ ( ( e3 = op(e1,e1) )
& ( e0 = op(e1,op(e1,e1)) )
& ( e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
tff(f_604,axiom,
~ ( ( e0 = op(e2,e2) )
& ( e1 = op(e2,op(e2,e2)) )
& ( e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
tff(f_718,axiom,
~ ( ( e3 = op(e2,e2) )
& ( e0 = op(e2,op(e2,e2)) )
& ( e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
tff(f_724,axiom,
~ ( ( e3 = op(e0,e0) )
& ( e1 = op(e0,op(e0,e0)) )
& ( e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
tff(f_652,axiom,
~ ( ( e1 = op(e0,e0) )
& ( e2 = op(e0,op(e0,e0)) )
& ( e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
tff(f_730,axiom,
~ ( ( e3 = op(e2,e2) )
& ( e1 = op(e2,op(e2,e2)) )
& ( e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
tff(f_736,axiom,
~ ( ( e3 = op(e0,e0) )
& ( e2 = op(e0,op(e0,e0)) )
& ( e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
tff(f_670,axiom,
~ ( ( e1 = op(e2,e2) )
& ( e3 = op(e2,op(e2,e2)) )
& ( e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
tff(f_646,axiom,
~ ( ( e1 = op(e3,e3) )
& ( e0 = op(e3,op(e3,e3)) )
& ( e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
tff(f_682,axiom,
~ ( ( e2 = op(e3,e3) )
& ( e0 = op(e3,op(e3,e3)) )
& ( e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
tff(f_706,axiom,
~ ( ( e2 = op(e1,e1) )
& ( e3 = op(e1,op(e1,e1)) )
& ( e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
tff(f_634,axiom,
~ ( ( e0 = op(e2,e2) )
& ( e3 = op(e2,op(e2,e2)) )
& ( e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
tff(f_610,axiom,
~ ( ( e0 = op(e3,e3) )
& ( e1 = op(e3,op(e3,e3)) )
& ( e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
tff(f_628,axiom,
~ ( ( e0 = op(e1,e1) )
& ( e3 = op(e1,op(e1,e1)) )
& ( e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
tff(f_622,axiom,
~ ( ( e0 = op(e3,e3) )
& ( e2 = op(e3,op(e3,e3)) )
& ( e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
tff(c_194,plain,
e3 != e2,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_204,plain,
e1 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_202,plain,
e2 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_196,plain,
e3 != e1,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_64,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_146306,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_186,plain,
op(e2,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_146311,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146306,c_186]) ).
tff(c_198,plain,
e2 != e1,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_200,plain,
e3 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_8,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_765,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_106,plain,
op(e3,e2) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_767,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_765,c_106]) ).
tff(c_184,plain,
op(e3,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_770,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_765,c_184]) ).
tff(c_188,plain,
op(e3,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_771,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_765,c_188]) ).
tff(c_20,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_10166,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_168,plain,
op(e1,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_10172,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10166,c_168]) ).
tff(c_96,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_11073,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_10172,c_96]) ).
tff(c_11074,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_11073]) ).
tff(c_136,plain,
op(e0,e3) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_11075,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11074,c_136]) ).
tff(c_182,plain,
op(e3,e0) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_769,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_765,c_182]) ).
tff(c_16,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_776,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_769,c_776]) ).
tff(c_778,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_780,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_778]) ).
tff(c_190,plain,
op(e2,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6176,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_190]) ).
tff(c_32,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_11753,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_6176,c_32]) ).
tff(c_11754,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_11753]) ).
tff(c_140,plain,
op(e0,e3) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_11757,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11754,c_140]) ).
tff(c_108,plain,
op(e3,e1) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_766,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_765,c_108]) ).
tff(c_104,plain,
op(e3,e3) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_768,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_765,c_104]) ).
tff(c_2,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_6181,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_2]) ).
tff(c_6182,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_6181]) ).
tff(c_100,plain,
op(e3,e3) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6187,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6182,c_100]) ).
tff(c_120,plain,
op(e2,e1) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6174,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_120]) ).
tff(c_80,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_8446,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_80]) ).
tff(c_8447,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_8446]) ).
tff(c_180,plain,
op(e1,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_8452,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8447,c_180]) ).
tff(c_152,plain,
op(e3,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6186,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6182,c_152]) ).
tff(c_92,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_6193,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_6186,c_92]) ).
tff(c_6194,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_6193]) ).
tff(c_192,plain,
op(e1,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6200,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_192]) ).
tff(c_148,plain,
op(e3,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6184,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6182,c_148]) ).
tff(c_14,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_781,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_114,plain,
op(e2,e2) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_796,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_781,c_114]) ).
tff(c_178,plain,
op(e2,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_795,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_781,c_178]) ).
tff(c_802,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_2]) ).
tff(c_803,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_802]) ).
tff(c_807,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_152]) ).
tff(c_2045,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_807,c_92]) ).
tff(c_2046,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_2045]) ).
tff(c_144,plain,
op(e0,e1) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2051,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2046,c_144]) ).
tff(c_808,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_100]) ).
tff(c_174,plain,
op(e2,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_792,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_781,c_174]) ).
tff(c_22,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_814,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_792,c_22]) ).
tff(c_815,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_814]) ).
tff(c_132,plain,
op(e1,e1) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1111,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_815,c_132]) ).
tff(c_786,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_186]) ).
tff(c_24,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_1140,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_1111,c_786,c_24]) ).
tff(c_816,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_795,c_96]) ).
tff(c_817,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_816]) ).
tff(c_832,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_817,c_168]) ).
tff(c_819,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_815,c_132]) ).
tff(c_920,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_819,c_786,c_24]) ).
tff(c_1096,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_920,c_815,c_80]) ).
tff(c_1097,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_832,c_1096]) ).
tff(c_823,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_815,c_180]) ).
tff(c_931,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_817,c_92]) ).
tff(c_932,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_823,c_204,c_807,c_931]) ).
tff(c_112,plain,
op(e2,e3) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_793,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_781,c_112]) ).
tff(c_146,plain,
op(e3,e3) != op(e2,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_806,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_146]) ).
tff(c_116,plain,
op(e2,e3) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_784,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_116]) ).
tff(c_10,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_838,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_784,c_10]) ).
tff(c_154,plain,
op(e2,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_843,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_838,c_154]) ).
tff(c_88,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_954,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_932,c_817,c_88]) ).
tff(c_955,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_843,c_954]) ).
tff(c_84,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_968,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_932,c_955,c_817,c_84]) ).
tff(c_969,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_968]) ).
tff(c_805,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_148]) ).
tff(c_150,plain,
op(e2,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_842,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_838,c_150]) ).
tff(c_18,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_942,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_805,c_842,c_18]) ).
tff(c_943,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_942]) ).
tff(c_692,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_1092,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_932,c_765,c_969,c_780,c_765,c_943,c_955,c_932,c_692]) ).
tff(c_1093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_202,c_1092]) ).
tff(c_1094,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_942]) ).
tff(c_1106,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1097,c_1094]) ).
tff(c_1107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_1106]) ).
tff(c_1108,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_816]) ).
tff(c_156,plain,
op(e1,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1125,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1108,c_156]) ).
tff(c_1151,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1140,c_815,c_80]) ).
tff(c_1152,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_1125,c_1151]) ).
tff(c_68,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_1241,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1140,c_815,c_1152,c_68]) ).
tff(c_1242,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_1241]) ).
tff(c_98,plain,
op(e3,e3) != op(e3,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_809,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_98]) ).
tff(c_4,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_1163,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_809,c_4]) ).
tff(c_1164,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_1163]) ).
tff(c_102,plain,
op(e3,e2) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1169,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1164,c_102]) ).
tff(c_6,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_1225,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_808,c_1169,c_6]) ).
tff(c_1130,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_784,c_10]) ).
tff(c_110,plain,
op(e2,e3) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1135,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1130,c_110]) ).
tff(c_118,plain,
op(e2,e2) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_783,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_118]) ).
tff(c_12,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_1200,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_796,c_1135,c_783,c_12]) ).
tff(c_70,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_1178,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_815,c_781,c_70]) ).
tff(c_1179,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_1169,c_1178]) ).
tff(c_498,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_1326,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1242,c_1225,c_781,c_1200,c_803,c_1242,c_1152,c_1179,c_498]) ).
tff(c_1327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_196,c_204,c_1326]) ).
tff(c_1328,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_1163]) ).
tff(c_40,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_1351,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_1328,c_803,c_40]) ).
tff(c_1352,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_1351]) ).
tff(c_736,plain,
( ( op(op(e3,op(e3,e3)),op(e3,e3)) != e0 )
| ( op(e3,op(e3,e3)) != e2 )
| ( op(e3,e3) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_658]) ).
tff(c_1461,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_1352,c_803,c_781,c_1352,c_803,c_803,c_736]) ).
tff(c_1462,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_814]) ).
tff(c_1464,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_1462]) ).
tff(c_172,plain,
op(e3,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1470,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1464,c_172]) ).
tff(c_1621,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_808,c_1470,c_6]) ).
tff(c_1799,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_1621,c_803,c_781,c_803,c_1621,c_803,c_736]) ).
tff(c_1800,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_1462]) ).
tff(c_1809,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1800,c_180]) ).
tff(c_1808,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1800,c_172]) ).
tff(c_2059,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_808,c_1808,c_6]) ).
tff(c_176,plain,
op(e3,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2063,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2059,c_176]) ).
tff(c_30,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_2092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_795,c_2051,c_1809,c_2063,c_30]) ).
tff(c_2094,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_2045]) ).
tff(c_787,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_190]) ).
tff(c_2290,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_2094,c_787,c_32]) ).
tff(c_126,plain,
op(e1,e2) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1807,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1800,c_126]) ).
tff(c_2019,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_1807,c_20]) ).
tff(c_2020,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_2019]) ).
tff(c_1814,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1800,c_80]) ).
tff(c_1815,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_1814]) ).
tff(c_1816,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_1815]) ).
tff(c_1805,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1800,c_132]) ).
tff(c_1827,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_1805,c_786,c_24]) ).
tff(c_1832,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1827,c_192]) ).
tff(c_1850,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_1832,c_787,c_32]) ).
tff(c_1869,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_808,c_1808,c_6]) ).
tff(c_1873,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1869,c_176]) ).
tff(c_1903,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_795,c_1809,c_1873,c_30]) ).
tff(c_1822,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1816,c_168]) ).
tff(c_1837,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_795,c_1822,c_96]) ).
tff(c_1942,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1850,c_1903,c_1837,c_84]) ).
tff(c_1943,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_1942]) ).
tff(c_742,plain,
( ( op(op(e1,op(e1,e1)),op(e1,e1)) != e3 )
| ( op(e1,op(e1,e1)) != e0 )
| ( op(e1,e1) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_2006,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1800,c_1816,c_1800,c_1943,c_1816,c_1800,c_1800,c_742]) ).
tff(c_2007,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_1815]) ).
tff(c_122,plain,
op(e1,e3) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2013,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_2007,c_122]) ).
tff(c_2031,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2020,c_2013]) ).
tff(c_2032,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_2019]) ).
tff(c_2034,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_2032]) ).
tff(c_160,plain,
op(e3,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2038,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2034,c_160]) ).
tff(c_2204,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_809,c_2038,c_4]) ).
tff(c_38,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_2227,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2007,c_803,c_38]) ).
tff(c_2228,plain,
( ( op(e2,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_2227]) ).
tff(c_2229,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_2228]) ).
tff(c_2233,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2229,c_154]) ).
tff(c_2248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_2233,c_784,c_10]) ).
tff(c_2249,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_2228]) ).
tff(c_2093,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_2045]) ).
tff(c_2095,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_2093]) ).
tff(c_2014,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_2007,c_156]) ).
tff(c_26,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_2108,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_2014,c_807,c_26]) ).
tff(c_2109,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_2108]) ).
tff(c_34,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_2139,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2109,c_2007,c_803,c_34]) ).
tff(c_2140,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_784,c_196,c_2139]) ).
tff(c_2141,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_2108]) ).
tff(c_2174,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2095,c_2141,c_96]) ).
tff(c_2175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_795,c_204,c_200,c_2174]) ).
tff(c_2176,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_2093]) ).
tff(c_594,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_2390,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2290,c_765,c_2204,c_2249,c_765,c_2007,c_1800,c_2176,c_594]) ).
tff(c_2391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_200,c_198,c_2390]) ).
tff(c_2392,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_2032]) ).
tff(c_130,plain,
op(e1,e2) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2396,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2392,c_130]) ).
tff(c_2429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_2396,c_1805,c_786,c_24]) ).
tff(c_2430,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_802]) ).
tff(c_2432,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_2430]) ).
tff(c_3547,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2432,c_98]) ).
tff(c_4218,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_3547,c_4]) ).
tff(c_4219,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_4218]) ).
tff(c_158,plain,
op(e3,e2) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_4222,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4219,c_158]) ).
tff(c_2433,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_793,c_784,c_10]) ).
tff(c_2434,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_2433]) ).
tff(c_2449,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2434,c_154]) ).
tff(c_3080,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_2449,c_92]) ).
tff(c_3081,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_3080]) ).
tff(c_3087,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3081,c_192]) ).
tff(c_2439,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2432,c_152]) ).
tff(c_2455,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_795,c_96]) ).
tff(c_2456,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_2455]) ).
tff(c_3019,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2456,c_84]) ).
tff(c_3020,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_787,c_200,c_2439,c_3019]) ).
tff(c_3039,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3020,c_2456,c_92]) ).
tff(c_3040,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_2449,c_3039]) ).
tff(c_3044,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3040,c_192]) ).
tff(c_2582,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_792,c_22]) ).
tff(c_2583,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_2582]) ).
tff(c_2585,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2583,c_132]) ).
tff(c_2619,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_787,c_32]) ).
tff(c_2620,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_2619]) ).
tff(c_2588,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2583,c_172]) ).
tff(c_2440,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2432,c_100]) ).
tff(c_2609,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_2588,c_2440,c_6]) ).
tff(c_66,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_2712,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2583,c_781,c_2609,c_66]) ).
tff(c_2713,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_2712]) ).
tff(c_738,plain,
( ( op(op(e0,op(e0,e0)),op(e0,e0)) != e2 )
| ( op(e0,op(e0,e0)) != e3 )
| ( op(e0,e0) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_2747,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2620,c_2713,c_2620,c_2609,c_2713,c_2620,c_2620,c_738]) ).
tff(c_2748,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_2619]) ).
tff(c_90,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_2809,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2748,c_780,c_765,c_90]) ).
tff(c_2810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_2585,c_196,c_204,c_2809]) ).
tff(c_2811,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_2582]) ).
tff(c_2813,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_2811]) ).
tff(c_2820,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2813,c_180]) ).
tff(c_2837,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_787,c_32]) ).
tff(c_2838,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_2837]) ).
tff(c_2905,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2838,c_2456,c_84]) ).
tff(c_2906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_2820,c_200,c_2439,c_2905]) ).
tff(c_2907,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_2837]) ).
tff(c_2919,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2907,c_2456,c_92]) ).
tff(c_2920,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_2449,c_2919]) ).
tff(c_2990,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2907,c_2920,c_2456,c_84]) ).
tff(c_2991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_2439,c_2990]) ).
tff(c_2992,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_2811]) ).
tff(c_2999,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2992,c_126]) ).
tff(c_2450,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2434,c_110]) ).
tff(c_2461,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_2456,c_168]) ).
tff(c_2467,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_2461,c_20]) ).
tff(c_2468,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_2467]) ).
tff(c_2472,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2468,c_160]) ).
tff(c_2441,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2432,c_98]) ).
tff(c_2481,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_2472,c_2441,c_4]) ).
tff(c_2485,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2481,c_158]) ).
tff(c_2579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_796,c_2450,c_2485,c_783,c_12]) ).
tff(c_2580,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_2467]) ).
tff(c_3007,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_2999,c_2580]) ).
tff(c_2448,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2434,c_150]) ).
tff(c_124,plain,
op(e1,e3) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2998,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2992,c_124]) ).
tff(c_2437,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2432,c_148]) ).
tff(c_3055,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_2448,c_2998,c_2437,c_18]) ).
tff(c_76,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_3076,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2992,c_3007,c_3055,c_76]) ).
tff(c_3077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3044,c_198,c_196,c_204,c_3076]) ).
tff(c_3078,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_2455]) ).
tff(c_3096,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3078,c_156]) ).
tff(c_3102,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_3096,c_2448,c_2437,c_18]) ).
tff(c_128,plain,
op(e1,e3) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3106,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3102,c_128]) ).
tff(c_3201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_3087,c_3106,c_786,c_24]) ).
tff(c_3203,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_3080]) ).
tff(c_3437,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_3203,c_787,c_32]) ).
tff(c_3202,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_3080]) ).
tff(c_3214,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_3202]) ).
tff(c_164,plain,
op(e3,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3220,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3214,c_164]) ).
tff(c_3209,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3078,c_156]) ).
tff(c_3227,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_2440,c_6]) ).
tff(c_3228,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_3227]) ).
tff(c_3231,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3228,c_172]) ).
tff(c_3238,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_792,c_3231,c_22]) ).
tff(c_3239,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_3238]) ).
tff(c_3243,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3239,c_124]) ).
tff(c_3280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3209,c_2448,c_3243,c_2437,c_18]) ).
tff(c_3281,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_3238]) ).
tff(c_3289,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3281,c_180]) ).
tff(c_3296,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3214,c_3078,c_84]) ).
tff(c_3297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_787,c_3289,c_196,c_200,c_3296]) ).
tff(c_3298,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_3227]) ).
tff(c_3304,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3298,c_102]) ).
tff(c_3369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_3220,c_3304,c_2441,c_4]) ).
tff(c_3370,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_3202]) ).
tff(c_3406,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3370,c_3078,c_84]) ).
tff(c_3407,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_787,c_196,c_200,c_3406]) ).
tff(c_3375,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3370,c_176]) ).
tff(c_3383,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_3375,c_2440,c_6]) ).
tff(c_3388,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3383,c_102]) ).
tff(c_3475,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_3388,c_2441,c_4]) ).
tff(c_750,plain,
( ( op(op(e0,op(e0,e0)),op(e0,e0)) != e1 )
| ( op(e0,op(e0,e0)) != e3 )
| ( op(e0,e0) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_700]) ).
tff(c_3538,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3437,c_3407,c_3437,c_3475,c_3437,c_3407,c_3437,c_750]) ).
tff(c_3539,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_2433]) ).
tff(c_3557,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3539,c_110]) ).
tff(c_4295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_796,c_4222,c_3557,c_783,c_12]) ).
tff(c_4296,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_4218]) ).
tff(c_4126,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_796,c_3557,c_783,c_12]) ).
tff(c_3546,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2432,c_100]) ).
tff(c_3562,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_3546,c_6]) ).
tff(c_3563,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_3562]) ).
tff(c_3567,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3563,c_176]) ).
tff(c_3568,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3563,c_102]) ).
tff(c_3555,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3539,c_150]) ).
tff(c_3543,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2432,c_148]) ).
tff(c_3792,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_3555,c_3543,c_18]) ).
tff(c_3793,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_3792]) ).
tff(c_3796,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3793,c_156]) ).
tff(c_3573,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_787,c_32]) ).
tff(c_3574,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_3573]) ).
tff(c_3577,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3574,c_140]) ).
tff(c_3556,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3539,c_154]) ).
tff(c_3545,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2432,c_152]) ).
tff(c_3805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3796,c_3577,c_3556,c_3545,c_26]) ).
tff(c_3806,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_3792]) ).
tff(c_3695,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_796,c_3557,c_783,c_12]) ).
tff(c_3622,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_3568,c_3547,c_4]) ).
tff(c_3580,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3574,c_192]) ).
tff(c_3610,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_3580,c_786,c_24]) ).
tff(c_3615,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3610,c_130]) ).
tff(c_3566,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3563,c_172]) ).
tff(c_3585,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3574,c_88]) ).
tff(c_3586,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_3556,c_3585]) ).
tff(c_3587,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_3586]) ).
tff(c_3592,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3587,c_180]) ).
tff(c_3597,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_792,c_3566,c_3592,c_22]) ).
tff(c_3603,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3597,c_126]) ).
tff(c_3637,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_3615,c_3603,c_20]) ).
tff(c_3638,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_3637]) ).
tff(c_3641,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3638,c_122]) ).
tff(c_3650,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_3641,c_3555,c_3543,c_18]) ).
tff(c_402,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_3779,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3695,c_3622,c_3610,c_781,c_3563,c_3650,c_3638,c_3587,c_402]) ).
tff(c_3780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_196,c_204,c_3779]) ).
tff(c_3781,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_3637]) ).
tff(c_3785,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3781,c_122]) ).
tff(c_3819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3806,c_3785]) ).
tff(c_3820,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_3586]) ).
tff(c_3827,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3820,c_164]) ).
tff(c_3869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_3568,c_3827,c_3547,c_4]) ).
tff(c_3870,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_3573]) ).
tff(c_3963,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3870,c_144]) ).
tff(c_3984,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_795,c_3567,c_3963,c_30]) ).
tff(c_730,plain,
( ( op(op(e2,op(e2,e2)),op(e2,e2)) != e3 )
| ( op(e2,op(e2,e2)) != e0 )
| ( op(e2,e2) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_640]) ).
tff(c_4215,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4126,c_781,c_4126,c_3984,c_4126,c_781,c_4126,c_730]) ).
tff(c_4216,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_3562]) ).
tff(c_4314,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4216,c_102]) ).
tff(c_4333,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4296,c_4314]) ).
tff(c_4334,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_2430]) ).
tff(c_4339,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4334,c_146]) ).
tff(c_4342,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4334,c_98]) ).
tff(c_4341,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4334,c_100]) ).
tff(c_5943,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_4341,c_6]) ).
tff(c_5944,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_5943]) ).
tff(c_5957,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5944,c_172]) ).
tff(c_4340,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4334,c_152]) ).
tff(c_4360,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_795,c_96]) ).
tff(c_4361,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_4360]) ).
tff(c_4372,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4361,c_88]) ).
tff(c_4373,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_4340,c_4372]) ).
tff(c_4374,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_4373]) ).
tff(c_4556,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4374,c_4361,c_84]) ).
tff(c_4557,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_4556]) ).
tff(c_4558,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_4557]) ).
tff(c_4562,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4558,c_176]) ).
tff(c_4366,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_4361,c_168]) ).
tff(c_4396,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_4366,c_20]) ).
tff(c_4397,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_4396]) ).
tff(c_4399,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4397,c_130]) ).
tff(c_4487,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4374,c_780,c_765,c_90]) ).
tff(c_4488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_4399,c_196,c_204,c_4487]) ).
tff(c_4489,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_4396]) ).
tff(c_4491,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_4489]) ).
tff(c_4495,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4491,c_160]) ).
tff(c_36,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_4581,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_4334,c_36]) ).
tff(c_4582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_4562,c_4495,c_194,c_4581]) ).
tff(c_4583,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_4557]) ).
tff(c_4497,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4491,c_126]) ).
tff(c_4504,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_792,c_4497,c_22]) ).
tff(c_4505,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_4504]) ).
tff(c_4508,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4505,c_132]) ).
tff(c_4517,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4374,c_780,c_765,c_90]) ).
tff(c_4518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_4508,c_196,c_204,c_4517]) ).
tff(c_4519,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_4504]) ).
tff(c_4607,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_4334,c_36]) ).
tff(c_4608,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_4495,c_194,c_4607]) ).
tff(c_74,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_4626,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4519,c_781,c_4608,c_74]) ).
tff(c_4627,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_4626]) ).
tff(c_706,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_4707,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4374,c_765,c_4583,c_780,c_4491,c_4519,c_4519,c_4627,c_706]) ).
tff(c_4708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_196,c_198,c_4707]) ).
tff(c_4709,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_4489]) ).
tff(c_4716,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4709,c_126]) ).
tff(c_4726,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_792,c_4716,c_22]) ).
tff(c_4727,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_4726]) ).
tff(c_4732,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4727,c_180]) ).
tff(c_4348,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_793,c_784,c_10]) ).
tff(c_4349,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_4348]) ).
tff(c_4353,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4349,c_154]) ).
tff(c_4737,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4374,c_4361,c_92]) ).
tff(c_4738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_4732,c_204,c_4353,c_4737]) ).
tff(c_4739,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_4726]) ).
tff(c_4755,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4739,c_180]) ).
tff(c_4764,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4374,c_4361,c_84]) ).
tff(c_4765,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_4755,c_200,c_4764]) ).
tff(c_4778,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4374,c_4361,c_4765,c_92]) ).
tff(c_4779,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_4778]) ).
tff(c_4783,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4779,c_176]) ).
tff(c_4754,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4739,c_172]) ).
tff(c_4818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_4783,c_4341,c_4754,c_6]) ).
tff(c_4820,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_4373]) ).
tff(c_4844,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_4820,c_787,c_32]) ).
tff(c_86,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_5047,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4844,c_780,c_765,c_86]) ).
tff(c_5048,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_5047]) ).
tff(c_4830,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_4366,c_20]) ).
tff(c_4831,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_4830]) ).
tff(c_4835,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4831,c_160]) ).
tff(c_4885,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_4835,c_4342,c_4]) ).
tff(c_4819,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_4373]) ).
tff(c_4930,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4844,c_4819,c_4361,c_84]) ).
tff(c_4931,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_4930]) ).
tff(c_4352,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4349,c_150]) ).
tff(c_4338,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4334,c_148]) ).
tff(c_4856,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_4352,c_4338,c_18]) ).
tff(c_4857,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_4856]) ).
tff(c_430,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_5020,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4349,c_4885,c_4931,c_780,c_765,c_4857,c_4334,c_4931,c_430]) ).
tff(c_5021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_200,c_194,c_5020]) ).
tff(c_5022,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_4856]) ).
tff(c_5065,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5048,c_4831,c_5022,c_80]) ).
tff(c_5066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_792,c_204,c_200,c_5065]) ).
tff(c_5067,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_4830]) ).
tff(c_5069,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_5067]) ).
tff(c_5074,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5069,c_160]) ).
tff(c_5108,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_4342,c_5074,c_4]) ).
tff(c_5087,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_4820,c_787,c_32]) ).
tff(c_5126,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5087,c_4819,c_4361,c_84]) ).
tff(c_5127,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_5126]) ).
tff(c_5073,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5069,c_122]) ).
tff(c_5158,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_4352,c_4338,c_5073,c_18]) ).
tff(c_5256,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_781,c_5108,c_5127,c_780,c_765,c_5158,c_4334,c_5127,c_430]) ).
tff(c_5257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_200,c_194,c_5256]) ).
tff(c_5258,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_5067]) ).
tff(c_5262,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5258,c_130]) ).
tff(c_5286,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_4820,c_787,c_32]) ).
tff(c_5325,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5286,c_780,c_765,c_86]) ).
tff(c_5326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_5262,c_194,c_202,c_5325]) ).
tff(c_5327,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_4360]) ).
tff(c_5726,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5327,c_92]) ).
tff(c_5727,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_5726]) ).
tff(c_5728,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_5727]) ).
tff(c_5742,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5728,c_192]) ).
tff(c_5334,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_5327,c_156]) ).
tff(c_5341,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_5334,c_4352,c_4338,c_18]) ).
tff(c_5352,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_80]) ).
tff(c_5353,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_792,c_200,c_5352]) ).
tff(c_72,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_5840,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5353,c_5341,c_72]) ).
tff(c_5841,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_5840]) ).
tff(c_5842,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_5841]) ).
tff(c_5846,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5842,c_132]) ).
tff(c_5364,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5327,c_88]) ).
tff(c_5365,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_5364]) ).
tff(c_5366,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_5365]) ).
tff(c_4354,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4349,c_110]) ).
tff(c_5378,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_796,c_4354,c_783,c_12]) ).
tff(c_50,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_5390,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5353,c_5378,c_50]) ).
tff(c_5391,plain,
( ( op(e3,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_5390]) ).
tff(c_5392,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_5391]) ).
tff(c_5403,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_4341,c_6]) ).
tff(c_5404,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_5403]) ).
tff(c_5408,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5404,c_176]) ).
tff(c_5370,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5366,c_144]) ).
tff(c_138,plain,
op(e0,e2) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_5395,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5392,c_138]) ).
tff(c_5441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_795,c_5408,c_5370,c_5395,c_30]) ).
tff(c_5442,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_5403]) ).
tff(c_44,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_5515,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_5442,c_4334,c_44]) ).
tff(c_5516,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_5515]) ).
tff(c_5551,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5366,c_5392,c_5366,c_5516,c_5366,c_5392,c_5366,c_750]) ).
tff(c_5552,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_5391]) ).
tff(c_5557,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5552,c_102]) ).
tff(c_5562,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_4341,c_5557,c_6]) ).
tff(c_5572,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5366,c_5327,c_92]) ).
tff(c_5573,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_5572]) ).
tff(c_5574,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_5573]) ).
tff(c_5567,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5562,c_176]) ).
tff(c_5584,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5574,c_5567]) ).
tff(c_5585,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_5573]) ).
tff(c_5610,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5366,c_5585,c_5327,c_84]) ).
tff(c_5611,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_5610]) ).
tff(c_5371,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5366,c_192]) ).
tff(c_5595,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_5371,c_786,c_24]) ).
tff(c_616,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_5721,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5366,c_765,c_5562,c_4349,c_5611,c_5595,c_781,c_5585,c_616]) ).
tff(c_5722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_200,c_202,c_5721]) ).
tff(c_5723,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_5365]) ).
tff(c_5725,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_5723]) ).
tff(c_5830,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5728,c_5725,c_5327,c_84]) ).
tff(c_5831,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_5830]) ).
tff(c_5751,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_4334,c_36]) ).
tff(c_5752,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_5751]) ).
tff(c_5753,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_5752]) ).
tff(c_5774,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5753,c_102]) ).
tff(c_5800,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5725,c_5353,c_50]) ).
tff(c_5801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_783,c_5774,c_5800]) ).
tff(c_5803,plain,
op(e3,e1) != e3,
inference(splitRight,[status(thm)],[c_5752]) ).
tff(c_5812,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_4341,c_5803,c_6]) ).
tff(c_5869,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5831,c_781,c_5812,c_70]) ).
tff(c_5870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_5846,c_202,c_198,c_5869]) ).
tff(c_5872,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_5841]) ).
tff(c_5885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_5742,c_5872,c_786,c_24]) ).
tff(c_5887,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_5727]) ).
tff(c_5724,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_5365]) ).
tff(c_5919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_5887,c_5724,c_787,c_32]) ).
tff(c_5920,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_5723]) ).
tff(c_5926,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5920,c_180]) ).
tff(c_5965,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5353,c_5341,c_72]) ).
tff(c_5966,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_5926,c_202,c_194,c_5965]) ).
tff(c_6008,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5966,c_5353,c_5341,c_76]) ).
tff(c_6009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_5957,c_204,c_196,c_6008]) ).
tff(c_6010,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_5943]) ).
tff(c_6015,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6010,c_102]) ).
tff(c_6067,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_4342,c_6015,c_4]) ).
tff(c_748,plain,
( ( op(op(e3,op(e3,e3)),op(e3,e3)) != e0 )
| ( op(e3,op(e3,e3)) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_694]) ).
tff(c_6154,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4334,c_6067,c_4334,c_5353,c_6067,c_4334,c_4334,c_748]) ).
tff(c_6155,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_4348]) ).
tff(c_6168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4339,c_6155]) ).
tff(c_6169,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_6205,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_6206,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_6205]) ).
tff(c_170,plain,
op(e3,e1) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6211,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6206,c_170]) ).
tff(c_6212,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6206,c_178]) ).
tff(c_6188,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6182,c_98]) ).
tff(c_6622,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_6188,c_4]) ).
tff(c_6623,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_6622]) ).
tff(c_6628,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6623,c_164]) ).
tff(c_6749,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_88]) ).
tff(c_6750,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_6212,c_6628,c_6749]) ).
tff(c_6596,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_6187,c_6211,c_6]) ).
tff(c_6199,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_144]) ).
tff(c_6209,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6206,c_174]) ).
tff(c_6218,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_6209,c_22]) ).
tff(c_6219,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_6218]) ).
tff(c_6580,plain,
( ( op(e3,e1) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_6206,c_74]) ).
tff(c_6581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6199,c_204,c_198,c_6187,c_6580]) ).
tff(c_6582,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_6218]) ).
tff(c_6584,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_6582]) ).
tff(c_6590,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6584,c_172]) ).
tff(c_6607,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6596,c_6590]) ).
tff(c_6608,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_6582]) ).
tff(c_6615,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6608,c_126]) ).
tff(c_6627,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6623,c_160]) ).
tff(c_6760,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_6615,c_6627,c_20]) ).
tff(c_6761,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_6760]) ).
tff(c_6636,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_6206,c_64]) ).
tff(c_6637,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_6636]) ).
tff(c_6638,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_6637]) ).
tff(c_166,plain,
op(e2,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6642,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_6638,c_166]) ).
tff(c_142,plain,
op(e0,e2) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6198,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_142]) ).
tff(c_162,plain,
op(e2,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6641,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_6638,c_162]) ).
tff(c_6723,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_6641,c_6615,c_6627,c_20]) ).
tff(c_6729,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6723,c_168]) ).
tff(c_28,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_6736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6642,c_6198,c_6628,c_6729,c_28]) ).
tff(c_6737,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_6637]) ).
tff(c_6767,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_6761,c_168]) ).
tff(c_6786,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_6767,c_6198,c_6628,c_28]) ).
tff(c_696,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_6920,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_765,c_6750,c_780,c_780,c_6761,c_6737,c_6786,c_696]) ).
tff(c_6921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_194,c_202,c_6920]) ).
tff(c_6922,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_6760]) ).
tff(c_6927,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6922,c_122]) ).
tff(c_6950,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6750,c_6737,c_6182,c_34]) ).
tff(c_6951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_6927,c_200,c_196,c_6950]) ).
tff(c_6952,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_6622]) ).
tff(c_6959,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6952,c_102]) ).
tff(c_6979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_6187,c_6211,c_6959,c_6]) ).
tff(c_6980,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_6205]) ).
tff(c_6988,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6980,c_114]) ).
tff(c_6172,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_118]) ).
tff(c_7377,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_6988,c_6172,c_12]) ).
tff(c_7378,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_7377]) ).
tff(c_7382,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7378,c_162]) ).
tff(c_7384,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7378,c_110]) ).
tff(c_6185,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6182,c_146]) ).
tff(c_7558,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_88]) ).
tff(c_7559,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_7558]) ).
tff(c_7560,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_7559]) ).
tff(c_6984,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6980,c_174]) ).
tff(c_6994,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_6984,c_22]) ).
tff(c_6995,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_6994]) ).
tff(c_6175,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_186]) ).
tff(c_7275,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_6200,c_6175,c_24]) ).
tff(c_722,plain,
( ( op(op(e1,op(e1,e1)),op(e1,e1)) != e3 )
| ( op(e1,op(e1,e1)) != e2 )
| ( op(e1,e1) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_616]) ).
tff(c_7362,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6995,c_7275,c_6995,c_780,c_7275,c_6995,c_6995,c_722]) ).
tff(c_7363,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_6994]) ).
tff(c_7365,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_7363]) ).
tff(c_78,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_7592,plain,
( ( op(e3,e1) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7560,c_7365,c_6980,c_78]) ).
tff(c_7593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_766,c_7592]) ).
tff(c_7594,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_7559]) ).
tff(c_7596,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_7594]) ).
tff(c_7601,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7596,c_154]) ).
tff(c_6173,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_116]) ).
tff(c_7608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7384,c_6185,c_7601,c_6173,c_10]) ).
tff(c_7609,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_7594]) ).
tff(c_7616,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7609,c_168]) ).
tff(c_7370,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7365,c_126]) ).
tff(c_7655,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_7382,c_7616,c_7370,c_20]) ).
tff(c_7369,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7365,c_124]) ).
tff(c_7544,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_6184,c_7369,c_18]) ).
tff(c_7545,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_7544]) ).
tff(c_7553,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7545,c_156]) ).
tff(c_7642,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_7609,c_96]) ).
tff(c_7643,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_7553,c_7642]) ).
tff(c_7687,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_7643,c_7609,c_84]) ).
tff(c_7688,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_7687]) ).
tff(c_630,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_7796,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_765,c_780,c_7378,c_6980,c_7655,c_6182,c_7688,c_630]) ).
tff(c_7797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_198,c_196,c_7796]) ).
tff(c_7798,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_7544]) ).
tff(c_7802,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7798,c_128]) ).
tff(c_7851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_6200,c_7802,c_6175,c_24]) ).
tff(c_7852,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_7377]) ).
tff(c_7859,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7852,c_166]) ).
tff(c_7865,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6194,c_88]) ).
tff(c_7866,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_7865]) ).
tff(c_7867,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_7866]) ).
tff(c_7893,plain,
( ( op(e3,e1) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7867,c_7365,c_6980,c_78]) ).
tff(c_7894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_766,c_7893]) ).
tff(c_7895,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_7866]) ).
tff(c_7899,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_7859,c_7895]) ).
tff(c_7904,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7899,c_156]) ).
tff(c_7911,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_6184,c_7904,c_7369,c_18]) ).
tff(c_7916,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7911,c_150]) ).
tff(c_7935,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_6980,c_7852,c_64]) ).
tff(c_7936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_7916,c_7935]) ).
tff(c_7937,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_7363]) ).
tff(c_7941,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7937,c_132]) ).
tff(c_8147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_6200,c_7941,c_6175,c_24]) ).
tff(c_8148,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_6193]) ).
tff(c_8150,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_8148]) ).
tff(c_8745,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8150,c_84]) ).
tff(c_8746,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_6176,c_196,c_8745]) ).
tff(c_8747,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_8746]) ).
tff(c_8762,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8747,c_176]) ).
tff(c_8483,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8150,c_96]) ).
tff(c_8484,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_8452,c_204,c_8483]) ).
tff(c_8507,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8150,c_8484,c_88]) ).
tff(c_8508,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_8507]) ).
tff(c_8509,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_8508]) ).
tff(c_8488,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_154]) ).
tff(c_8149,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_6193]) ).
tff(c_8324,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8150,c_96]) ).
tff(c_8325,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_8324]) ).
tff(c_8326,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_8325]) ).
tff(c_8332,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8326,c_180]) ).
tff(c_8161,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_8162,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_8161]) ).
tff(c_8167,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8162,c_174]) ).
tff(c_8169,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8162,c_170]) ).
tff(c_8314,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_6187,c_8169,c_6]) ).
tff(c_8318,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8314,c_172]) ).
tff(c_8361,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_8332,c_8167,c_8318,c_22]) ).
tff(c_8365,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8361,c_132]) ).
tff(c_8372,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_765,c_90]) ).
tff(c_8373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8149,c_8365,c_196,c_204,c_8372]) ).
tff(c_8374,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_8325]) ).
tff(c_8380,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8374,c_154]) ).
tff(c_8168,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8162,c_112]) ).
tff(c_8432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8380,c_6185,c_8168,c_6173,c_10]) ).
tff(c_8433,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_8161]) ).
tff(c_8494,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_8433,c_64]) ).
tff(c_8495,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_8488,c_8494]) ).
tff(c_8510,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8150,c_8484,c_84]) ).
tff(c_8511,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_6176,c_196,c_200,c_8510]) ).
tff(c_8450,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8447,c_126]) ).
tff(c_8155,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8150,c_168]) ).
tff(c_8459,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_8450,c_8155,c_20]) ).
tff(c_8460,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_8459]) ).
tff(c_8463,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8460,c_130]) ).
tff(c_8473,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_8463,c_6175,c_24]) ).
tff(c_648,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_8666,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8509,c_765,c_780,c_8495,c_8511,c_8473,c_8433,c_8150,c_648]) ).
tff(c_8667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_200,c_198,c_8666]) ).
tff(c_8668,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_8508]) ).
tff(c_8680,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8668,c_8150,c_8484,c_84]) ).
tff(c_8681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6176,c_194,c_196,c_200,c_8680]) ).
tff(c_8682,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_8459]) ).
tff(c_8688,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8682,c_160]) ).
tff(c_8773,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_6182,c_36]) ).
tff(c_8774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_8762,c_8688,c_196,c_8773]) ).
tff(c_8775,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_8746]) ).
tff(c_8786,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8150,c_8775,c_96]) ).
tff(c_8787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_8452,c_204,c_200,c_8786]) ).
tff(c_8789,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_8446]) ).
tff(c_8437,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8433,c_174]) ).
tff(c_8884,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_8149,c_6176,c_32]) ).
tff(c_8788,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_8446]) ).
tff(c_8791,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_8788]) ).
tff(c_8796,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8791,c_122]) ).
tff(c_8815,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8791,c_72]) ).
tff(c_8816,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_8815]) ).
tff(c_8817,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_8816]) ).
tff(c_8822,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8817,c_192]) ).
tff(c_8881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_8149,c_8822,c_6176,c_32]) ).
tff(c_8882,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_8816]) ).
tff(c_8894,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_8882]) ).
tff(c_8900,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8894,c_126]) ).
tff(c_8905,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_6187,c_6]) ).
tff(c_8906,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_8905]) ).
tff(c_8797,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8791,c_156]) ).
tff(c_8888,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8884,c_140]) ).
tff(c_8933,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_8797,c_6186,c_8888,c_26]) ).
tff(c_8154,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8150,c_166]) ).
tff(c_8899,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8894,c_162]) ).
tff(c_8952,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_8154,c_8899,c_6172,c_12]) ).
tff(c_572,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_9071,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8894,c_8906,c_8933,c_780,c_8952,c_8894,c_8150,c_8884,c_572]) ).
tff(c_9072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_202,c_204,c_9071]) ).
tff(c_9073,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_8905]) ).
tff(c_9077,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9073,c_172]) ).
tff(c_9142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8789,c_8437,c_8900,c_9077,c_22]) ).
tff(c_9144,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_8882]) ).
tff(c_9163,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_8796,c_8155,c_9144,c_20]) ).
tff(c_746,plain,
( ( op(op(e0,op(e0,e0)),op(e0,e0)) != e3 )
| ( op(e0,op(e0,e0)) != e1 )
| ( op(e0,e0) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_688]) ).
tff(c_9312,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8884,c_8150,c_8884,c_9163,c_8150,c_8884,c_8884,c_746]) ).
tff(c_9314,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_8788]) ).
tff(c_9325,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_9314,c_6184,c_18]) ).
tff(c_9326,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_9325]) ).
tff(c_9331,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9326,c_124]) ).
tff(c_9393,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_8789,c_8437,c_9331,c_22]) ).
tff(c_9330,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9326,c_150]) ).
tff(c_9381,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_6185,c_9330,c_6173,c_10]) ).
tff(c_764,plain,
( ( op(op(e1,op(e1,e1)),op(e1,e1)) != e0 )
| ( op(e1,op(e1,e1)) != e2 )
| ( op(e1,e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_742]) ).
tff(c_9502,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9393,c_9326,c_9393,c_9381,c_9393,c_9326,c_9393,c_764]) ).
tff(c_9503,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_9325]) ).
tff(c_9510,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9503,c_156]) ).
tff(c_9518,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_8149,c_6176,c_32]) ).
tff(c_9550,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9518,c_8150,c_96]) ).
tff(c_9551,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_9550]) ).
tff(c_9552,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_9551]) ).
tff(c_9593,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9518,c_9552,c_8150,c_84]) ).
tff(c_9594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_9510,c_9593]) ).
tff(c_9595,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_9551]) ).
tff(c_9601,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_9595,c_154]) ).
tff(c_9313,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_8788]) ).
tff(c_9319,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_9313,c_162]) ).
tff(c_9606,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_9319,c_8154,c_6172,c_12]) ).
tff(c_9618,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_8433,c_9606,c_64]) ).
tff(c_9619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_9601,c_9618]) ).
tff(c_9620,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_8148]) ).
tff(c_9626,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9620,c_178]) ).
tff(c_9632,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6174,c_9626,c_6169]) ).
tff(c_9638,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9632,c_170]) ).
tff(c_9637,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9632,c_112]) ).
tff(c_9644,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9620,c_96]) ).
tff(c_9645,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_9644]) ).
tff(c_9646,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_9645]) ).
tff(c_134,plain,
op(e0,e3) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_9648,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_9646,c_134]) ).
tff(c_9627,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9620,c_180]) ).
tff(c_9636,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9632,c_174]) ).
tff(c_9942,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_9627,c_9636,c_22]) ).
tff(c_9943,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_9942]) ).
tff(c_9947,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_9943,c_124]) ).
tff(c_9650,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_9646,c_166]) ).
tff(c_9639,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9632,c_114]) ).
tff(c_9783,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_9650,c_9639,c_6172,c_12]) ).
tff(c_9753,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_6187,c_9638,c_6]) ).
tff(c_9758,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9753,c_102]) ).
tff(c_9806,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_6188,c_9758,c_4]) ).
tff(c_9657,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_9636,c_72]) ).
tff(c_9658,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_9657]) ).
tff(c_9664,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9658,c_192]) ).
tff(c_9728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_8149,c_9664,c_6176,c_32]) ).
tff(c_9729,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_9657]) ).
tff(c_9731,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_9729]) ).
tff(c_9748,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9731,c_156]) ).
tff(c_9763,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_9648,c_6186,c_9748,c_26]) ).
tff(c_9730,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_9657]) ).
tff(c_9732,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_9730,c_6175,c_24]) ).
tff(c_9757,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9753,c_172]) ).
tff(c_9797,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_9627,c_9636,c_9757,c_22]) ).
tff(c_458,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_9928,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9783,c_9806,c_9763,c_780,c_9620,c_9732,c_9797,c_9620,c_458]) ).
tff(c_9929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_204,c_204,c_9928]) ).
tff(c_9931,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_9729]) ).
tff(c_9953,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_6184,c_9931,c_18]) ).
tff(c_9954,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_9953]) ).
tff(c_9955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9947,c_9954]) ).
tff(c_9956,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_9953]) ).
tff(c_9963,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9956,c_156]) ).
tff(c_9968,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_9648,c_6186,c_9963,c_26]) ).
tff(c_9972,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9968,c_140]) ).
tff(c_9992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_8149,c_9972,c_6176,c_32]) ).
tff(c_9993,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_9942]) ).
tff(c_9999,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9993,c_172]) ).
tff(c_10039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_6187,c_9638,c_9999,c_6]) ).
tff(c_10040,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_9645]) ).
tff(c_10051,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_9627,c_9636,c_22]) ).
tff(c_10052,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_10051]) ).
tff(c_10056,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10052,c_124]) ).
tff(c_10087,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_10056,c_6184,c_18]) ).
tff(c_10088,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_10087]) ).
tff(c_10098,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10040,c_10088,c_6182,c_34]) ).
tff(c_10099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_6173,c_196,c_10098]) ).
tff(c_10100,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_10087]) ).
tff(c_10136,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10040,c_10100,c_6182,c_38]) ).
tff(c_10137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_9637,c_198,c_10136]) ).
tff(c_10138,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_10051]) ).
tff(c_10145,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10138,c_172]) ).
tff(c_10163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_6187,c_9638,c_10145,c_6]) ).
tff(c_10164,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_6181]) ).
tff(c_11085,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_10164]) ).
tff(c_11091,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11085,c_100]) ).
tff(c_10170,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10166,c_162]) ).
tff(c_10168,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10166,c_122]) ).
tff(c_10177,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_6]) ).
tff(c_10178,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_10177]) ).
tff(c_10181,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10178,c_170]) ).
tff(c_10653,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6174,c_10181,c_6169]) ).
tff(c_10171,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10166,c_126]) ).
tff(c_10180,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10178,c_172]) ).
tff(c_10212,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6174,c_10181,c_6169]) ).
tff(c_10216,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10212,c_174]) ).
tff(c_10223,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_10171,c_10180,c_10216,c_22]) ).
tff(c_10253,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10223,c_10166,c_72]) ).
tff(c_10254,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_10253]) ).
tff(c_10255,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_10254]) ).
tff(c_10291,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10255,c_780,c_765,c_90]) ).
tff(c_10292,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_10291]) ).
tff(c_10266,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10223,c_10212,c_10178,c_78]) ).
tff(c_10267,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_10266]) ).
tff(c_10189,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_10164]) ).
tff(c_10194,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10189,c_152]) ).
tff(c_10302,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10292,c_10267,c_84]) ).
tff(c_10303,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_10194,c_10302]) ).
tff(c_10314,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10292,c_10267,c_10303,c_88]) ).
tff(c_10315,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_10314]) ).
tff(c_10258,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10255,c_128]) ).
tff(c_10192,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10189,c_148]) ).
tff(c_10280,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_10168,c_10258,c_10192,c_18]) ).
tff(c_10200,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_10170,c_6172,c_12]) ).
tff(c_10201,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_10200]) ).
tff(c_10207,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10201,c_110]) ).
tff(c_10217,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10212,c_112]) ).
tff(c_10243,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_10207,c_10217,c_6173,c_10]) ).
tff(c_688,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_10413,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10292,c_765,c_10315,c_780,c_10178,c_10280,c_10243,c_10303,c_688]) ).
tff(c_10414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_196,c_202,c_10413]) ).
tff(c_10415,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_10254]) ).
tff(c_10601,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10223,c_10415,c_10223,c_10243,c_10223,c_10415,c_10223,c_764]) ).
tff(c_10602,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_10200]) ).
tff(c_10608,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10602,c_114]) ).
tff(c_10627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6174,c_10608,c_10181,c_6169]) ).
tff(c_10628,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10164]) ).
tff(c_10633,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10628,c_146]) ).
tff(c_10710,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_10633,c_6173,c_10]) ).
tff(c_10711,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10710]) ).
tff(c_10183,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10178,c_102]) ).
tff(c_10635,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10628,c_98]) ).
tff(c_10674,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_10183,c_10635,c_4]) ).
tff(c_10679,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10674,c_164]) ).
tff(c_10641,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_10172,c_96]) ).
tff(c_10642,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_10641]) ).
tff(c_10684,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10642,c_92]) ).
tff(c_10685,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_10684]) ).
tff(c_10686,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_10685]) ).
tff(c_10729,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10686,c_10642,c_84]) ).
tff(c_10730,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_10679,c_10729]) ).
tff(c_10746,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10686,c_10642,c_10730,c_88]) ).
tff(c_10747,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_10746]) ).
tff(c_10632,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10628,c_148]) ).
tff(c_10657,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10653,c_174]) ).
tff(c_10664,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_10171,c_10180,c_10657,c_22]) ).
tff(c_10696,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10664,c_10166,c_72]) ).
tff(c_10697,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_10632,c_10696]) ).
tff(c_454,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_10857,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10711,c_10674,c_10730,c_780,c_10747,c_10697,c_10628,c_10730,c_454]) ).
tff(c_10858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_202,c_194,c_10857]) ).
tff(c_10859,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_10710]) ).
tff(c_10873,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_10653,c_10859,c_64]) ).
tff(c_10874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_10170,c_204,c_10873]) ).
tff(c_10875,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_10685]) ).
tff(c_10879,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_10875]) ).
tff(c_10885,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10879,c_156]) ).
tff(c_10669,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10664,c_124]) ).
tff(c_10924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10168,c_10885,c_10632,c_10669,c_18]) ).
tff(c_10925,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_10875]) ).
tff(c_10931,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10925,c_166]) ).
tff(c_10659,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10653,c_114]) ).
tff(c_10938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10170,c_10931,c_10659,c_6172,c_12]) ).
tff(c_10939,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_10641]) ).
tff(c_10947,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10939,c_154]) ).
tff(c_10953,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6174,c_10181,c_6169]) ).
tff(c_10960,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10953,c_114]) ).
tff(c_10965,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_10170,c_10960,c_6172,c_12]) ).
tff(c_11069,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_10953,c_10965,c_64]) ).
tff(c_11070,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_10947,c_11069]) ).
tff(c_11071,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_10177]) ).
tff(c_11097,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_11091,c_11071]) ).
tff(c_11103,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11097,c_102]) ).
tff(c_11130,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_765,c_90]) ).
tff(c_11131,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_11130]) ).
tff(c_11132,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_11131]) ).
tff(c_11135,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11132,c_140]) ).
tff(c_11090,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11085,c_152]) ).
tff(c_11330,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_11075,c_11135,c_11090,c_26]) ).
tff(c_11102,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11097,c_170]) ).
tff(c_11119,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_6174,c_11102,c_6169]) ).
tff(c_11123,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11119,c_174]) ).
tff(c_11101,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11097,c_172]) ).
tff(c_11146,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_10171,c_11123,c_11101,c_22]) ).
tff(c_11179,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_11075,c_11135,c_11090,c_26]) ).
tff(c_11222,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11132,c_11074,c_11179,c_84]) ).
tff(c_11223,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_11222]) ).
tff(c_11166,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11146,c_10166,c_72]) ).
tff(c_11167,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_11166]) ).
tff(c_11168,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_11167]) ).
tff(c_11092,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11085,c_98]) ).
tff(c_11108,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_11092,c_4]) ).
tff(c_11109,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_11108]) ).
tff(c_678,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_11317,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11132,c_765,c_11146,c_11119,c_11223,c_11168,c_11109,c_11179,c_678]) ).
tff(c_11318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_200,c_196,c_11317]) ).
tff(c_11319,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_11167]) ).
tff(c_11325,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11319,c_156]) ).
tff(c_11341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11330,c_11325]) ).
tff(c_11343,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_11131]) ).
tff(c_11365,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_11343,c_6176,c_32]) ).
tff(c_11113,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11109,c_164]) ).
tff(c_11400,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11365,c_11074,c_92]) ).
tff(c_11401,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_11113,c_11400]) ).
tff(c_11429,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11365,c_11074,c_11401,c_84]) ).
tff(c_11430,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_11429]) ).
tff(c_11488,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11365,c_11430,c_11365,c_11109,c_11430,c_11365,c_11365,c_750]) ).
tff(c_11489,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_11108]) ).
tff(c_11491,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11103,c_11489]) ).
tff(c_11492,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10164]) ).
tff(c_11498,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11492,c_152]) ).
tff(c_11496,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11492,c_148]) ).
tff(c_11506,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_10168,c_11496,c_18]) ).
tff(c_11507,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_11506]) ).
tff(c_11510,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11507,c_128]) ).
tff(c_11512,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11507,c_124]) ).
tff(c_11499,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11492,c_100]) ).
tff(c_11520,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_11499,c_11071]) ).
tff(c_11524,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11520,c_172]) ).
tff(c_11557,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_10171,c_11512,c_11524,c_22]) ).
tff(c_11561,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11557,c_132]) ).
tff(c_11568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_11510,c_11561,c_6175,c_24]) ).
tff(c_11569,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_11506]) ).
tff(c_11666,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11569,c_156]) ).
tff(c_11774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11075,c_11757,c_11498,c_11666,c_26]) ).
tff(c_11775,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_11753]) ).
tff(c_11723,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_11499,c_11071]) ).
tff(c_11787,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_11723,c_11492,c_44]) ).
tff(c_11788,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_11787]) ).
tff(c_11792,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11788,c_164]) ).
tff(c_11807,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11775,c_11074,c_92]) ).
tff(c_11808,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_11792,c_11807]) ).
tff(c_11842,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11775,c_11074,c_11808,c_84]) ).
tff(c_11843,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_11842]) ).
tff(c_11901,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11775,c_11843,c_11775,c_11788,c_11843,c_11775,c_11775,c_750]) ).
tff(c_11903,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_11073]) ).
tff(c_12154,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_12155,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_12154]) ).
tff(c_12161,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12155,c_114]) ).
tff(c_12166,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_10170,c_12161,c_6172,c_12]) ).
tff(c_12170,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12166,c_158]) ).
tff(c_11902,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_11073]) ).
tff(c_11908,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11902,c_154]) ).
tff(c_12035,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_10164]) ).
tff(c_12040,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12035,c_100]) ).
tff(c_12059,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_12040,c_11071]) ).
tff(c_12064,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12059,c_170]) ).
tff(c_12071,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_6174,c_12064,c_6169]) ).
tff(c_12076,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12071,c_112]) ).
tff(c_12038,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12035,c_148]) ).
tff(c_11914,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_10168,c_18]) ).
tff(c_11915,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_11914]) ).
tff(c_11919,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11915,c_150]) ).
tff(c_11925,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_10164]) ).
tff(c_11929,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11925,c_100]) ).
tff(c_11937,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_11929,c_11071]) ).
tff(c_11942,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11937,c_170]) ).
tff(c_11949,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_6174,c_11942,c_6169]) ).
tff(c_11956,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11949,c_114]) ).
tff(c_11984,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_11908,c_11919,c_6173,c_10]) ).
tff(c_11988,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11984,c_110]) ).
tff(c_11993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10170,c_11956,c_11988,c_6172,c_12]) ).
tff(c_11994,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10164]) ).
tff(c_11998,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11994,c_146]) ).
tff(c_12032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11908,c_11919,c_11998,c_6173,c_10]) ).
tff(c_12033,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_11914]) ).
tff(c_12046,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_12038,c_12033]) ).
tff(c_12051,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12046,c_150]) ).
tff(c_12115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11908,c_12076,c_12051,c_6173,c_10]) ).
tff(c_12116,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10164]) ).
tff(c_12123,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12116,c_98]) ).
tff(c_12122,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12116,c_100]) ).
tff(c_12129,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_12122,c_11071]) ).
tff(c_12136,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12129,c_102]) ).
tff(c_12199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_12170,c_12123,c_12136,c_4]) ).
tff(c_12200,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_12154]) ).
tff(c_12206,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12200,c_178]) ).
tff(c_12204,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12200,c_174]) ).
tff(c_12133,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12129,c_172]) ).
tff(c_12261,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_10171,c_12204,c_12133,c_22]) ).
tff(c_12266,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12261,c_180]) ).
tff(c_12135,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12129,c_176]) ).
tff(c_12319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11903,c_12206,c_12266,c_12135,c_30]) ).
tff(c_12321,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_13720,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_13722,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13720,c_150]) ).
tff(c_12322,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_96]) ).
tff(c_12323,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_12322]) ).
tff(c_12329,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12323,c_180]) ).
tff(c_12334,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_12329,c_22]) ).
tff(c_12335,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_12334]) ).
tff(c_12337,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12335,c_132]) ).
tff(c_12341,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12335,c_172]) ).
tff(c_12340,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12335,c_174]) ).
tff(c_12394,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6174,c_12340,c_6169]) ).
tff(c_12399,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12394,c_170]) ).
tff(c_12346,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_10164]) ).
tff(c_12355,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12346,c_100]) ).
tff(c_12416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_12341,c_12399,c_12355,c_6]) ).
tff(c_12417,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10164]) ).
tff(c_12425,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12417,c_98]) ).
tff(c_12339,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12335,c_126]) ).
tff(c_12320,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_12454,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_12339,c_12320]) ).
tff(c_12455,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_12454]) ).
tff(c_12459,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12455,c_160]) ).
tff(c_12486,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_12425,c_12459,c_4]) ).
tff(c_12443,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6174,c_12340,c_6169]) ).
tff(c_12449,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12443,c_114]) ).
tff(c_12466,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_12449,c_6172,c_12]) ).
tff(c_12467,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12466]) ).
tff(c_12338,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12335,c_124]) ).
tff(c_12421,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12417,c_148]) ).
tff(c_12431,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_12338,c_12421,c_18]) ).
tff(c_12432,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_12431]) ).
tff(c_12436,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12432,c_150]) ).
tff(c_12422,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12417,c_146]) ).
tff(c_12541,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_12436,c_12422,c_6173,c_10]) ).
tff(c_12324,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12323,c_136]) ).
tff(c_12495,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_765,c_90]) ).
tff(c_12496,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_12337,c_196,c_204,c_12495]) ).
tff(c_12499,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12496,c_140]) ).
tff(c_12423,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12417,c_152]) ).
tff(c_12552,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_12324,c_12499,c_12423,c_26]) ).
tff(c_246,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_12641,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12486,c_12417,c_780,c_12467,c_12541,c_12455,c_12417,c_12552,c_246]) ).
tff(c_12642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_198,c_194,c_12641]) ).
tff(c_12643,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_12466]) ).
tff(c_12647,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12643,c_158]) ).
tff(c_12659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_12647,c_12425,c_12459,c_4]) ).
tff(c_12660,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_12454]) ).
tff(c_12664,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12660,c_130]) ).
tff(c_12736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_12337,c_12664,c_6175,c_24]) ).
tff(c_12737,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_12431]) ).
tff(c_12775,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12335,c_12737,c_80]) ).
tff(c_12776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_12321,c_200,c_12775]) ).
tff(c_12777,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_12334]) ).
tff(c_13036,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_12777]) ).
tff(c_13331,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13036,c_126]) ).
tff(c_12779,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_10164]) ).
tff(c_12786,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12779,c_98]) ).
tff(c_13338,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_12786,c_4]) ).
tff(c_13339,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_13338]) ).
tff(c_13343,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13339,c_160]) ).
tff(c_13400,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_13331,c_13343,c_12320]) ).
tff(c_12782,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12779,c_148]) ).
tff(c_13037,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_12782,c_18]) ).
tff(c_13038,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_13037]) ).
tff(c_12785,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12779,c_100]) ).
tff(c_13071,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_12785,c_6]) ).
tff(c_13072,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_13071]) ).
tff(c_13076,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13072,c_102]) ).
tff(c_13043,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13036,c_126]) ).
tff(c_13059,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_13043,c_12320]) ).
tff(c_13060,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_13059]) ).
tff(c_13064,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13060,c_160]) ).
tff(c_13095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_13076,c_13064,c_12786,c_4]) ).
tff(c_13096,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_13071]) ).
tff(c_13100,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13096,c_170]) ).
tff(c_13109,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_6174,c_13100,c_6169]) ).
tff(c_13113,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13109,c_112]) ).
tff(c_42,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_13159,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13038,c_12779,c_42]) ).
tff(c_13160,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_13113,c_196,c_13159]) ).
tff(c_13202,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12323,c_13160,c_84]) ).
tff(c_13203,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_6176,c_200,c_196,c_13202]) ).
tff(c_13216,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12323,c_13203,c_13160,c_88]) ).
tff(c_13217,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_13216]) ).
tff(c_13172,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_13064,c_12786,c_4]) ).
tff(c_13286,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13217,c_13203,c_13217,c_13172,c_13217,c_13203,c_13217,c_750]) ).
tff(c_13287,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_13059]) ).
tff(c_12791,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_12794,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12791,c_132]) ).
tff(c_12802,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_12794,c_12777]) ).
tff(c_12807,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12802,c_126]) ).
tff(c_12796,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12791,c_130]) ).
tff(c_12836,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_12807,c_12796,c_12320]) ).
tff(c_12840,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12836,c_122]) ).
tff(c_12795,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12791,c_128]) ).
tff(c_12879,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_12840,c_12795,c_12782,c_18]) ).
tff(c_12825,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12791,c_780,c_765,c_90]) ).
tff(c_12826,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_12825]) ).
tff(c_12830,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12826,c_140]) ).
tff(c_12784,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12779,c_152]) ).
tff(c_12956,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_12324,c_12830,c_12784,c_26]) ).
tff(c_754,plain,
( ( op(op(e1,op(e1,e1)),op(e1,e1)) != e2 )
| ( op(e1,op(e1,e1)) != e0 )
| ( op(e1,e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_712]) ).
tff(c_13033,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12802,c_12879,c_12802,c_12956,c_12879,c_12802,c_12802,c_754]) ).
tff(c_13034,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_13323,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13038,c_13287,c_13036,c_13034]) ).
tff(c_13324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_13323]) ).
tff(c_13325,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_13037]) ).
tff(c_13350,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_13325]) ).
tff(c_13361,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13036,c_13350,c_80]) ).
tff(c_13362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_12321,c_202,c_13361]) ).
tff(c_13363,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_13325]) ).
tff(c_13421,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13036,c_13400,c_13363,c_80]) ).
tff(c_13422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_202,c_204,c_13421]) ).
tff(c_13423,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_13338]) ).
tff(c_13428,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13423,c_160]) ).
tff(c_13468,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_13331,c_13428,c_12320]) ).
tff(c_13446,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_13325]) ).
tff(c_13493,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13036,c_13468,c_13446,c_80]) ).
tff(c_13494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_204,c_202,c_13493]) ).
tff(c_13495,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_13325]) ).
tff(c_13518,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13036,c_13495,c_80]) ).
tff(c_13519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_12321,c_204,c_13518]) ).
tff(c_13520,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_12777]) ).
tff(c_13527,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13520,c_174]) ).
tff(c_13618,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_6174,c_13527,c_6169]) ).
tff(c_13623,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13618,c_170]) ).
tff(c_13528,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13520,c_172]) ).
tff(c_13705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_13623,c_13528,c_12785,c_6]) ).
tff(c_13706,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10164]) ).
tff(c_13711,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13706,c_146]) ).
tff(c_14263,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_13722,c_13711,c_6173,c_10]) ).
tff(c_13756,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_13757,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_13756]) ).
tff(c_13731,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_12777]) ).
tff(c_13735,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13731,c_126]) ).
tff(c_13744,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_13735,c_12320]) ).
tff(c_13745,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_13744]) ).
tff(c_13751,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13745,c_168]) ).
tff(c_13712,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13706,c_152]) ).
tff(c_13798,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12323,c_92]) ).
tff(c_13799,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_13798]) ).
tff(c_13800,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_13799]) ).
tff(c_13812,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13800,c_12323,c_88]) ).
tff(c_13813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_13751,c_13712,c_13812]) ).
tff(c_13815,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_13799]) ).
tff(c_13867,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_13815,c_6176,c_32]) ).
tff(c_13750,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13745,c_162]) ).
tff(c_13769,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_13750,c_6172,c_12]) ).
tff(c_13770,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_13769]) ).
tff(c_13713,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13706,c_100]) ).
tff(c_13737,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13731,c_172]) ).
tff(c_13780,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_13713,c_13737,c_6]) ).
tff(c_13784,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13780,c_102]) ).
tff(c_13714,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13706,c_98]) ).
tff(c_13789,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_13784,c_13714,c_4]) ).
tff(c_13793,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13789,c_164]) ).
tff(c_13826,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_13815,c_6176,c_32]) ).
tff(c_13814,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_13799]) ).
tff(c_13816,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_13814]) ).
tff(c_13854,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13826,c_12323,c_13816,c_84]) ).
tff(c_13855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_13793,c_196,c_13854]) ).
tff(c_13856,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_13814]) ).
tff(c_628,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_14005,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13867,c_765,c_780,c_13770,c_765,c_13720,c_13856,c_13867,c_628]) ).
tff(c_14006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_200,c_204,c_14005]) ).
tff(c_14007,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_13769]) ).
tff(c_14078,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_13757,c_14007,c_64]) ).
tff(c_14079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_13722,c_14078]) ).
tff(c_14080,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_13756]) ).
tff(c_14084,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14080,c_112]) ).
tff(c_14180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13722,c_14084,c_13711,c_6173,c_10]) ).
tff(c_14181,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_13744]) ).
tff(c_14186,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14181,c_160]) ).
tff(c_14235,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_14186,c_13714,c_4]) ).
tff(c_14187,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14181,c_162]) ).
tff(c_14194,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_14195,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_14194]) ).
tff(c_14210,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14195,c_114]) ).
tff(c_14276,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_14187,c_14210,c_6172,c_12]) ).
tff(c_14196,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13731,c_14181,c_13720,c_72]) ).
tff(c_14197,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_14196]) ).
tff(c_14224,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14197,c_780,c_765,c_90]) ).
tff(c_14225,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_14224]) ).
tff(c_14229,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14225,c_140]) ).
tff(c_14247,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_12324,c_14229,c_13712,c_26]) ).
tff(c_14291,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14225,c_12323,c_14247,c_88]) ).
tff(c_14292,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_14291]) ).
tff(c_394,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_14386,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14263,c_14235,c_780,c_14276,c_14292,c_14197,c_14197,c_12323,c_394]) ).
tff(c_14387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_198,c_14386]) ).
tff(c_14388,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_14194]) ).
tff(c_14392,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14388,c_112]) ).
tff(c_14474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13722,c_14392,c_13711,c_6173,c_10]) ).
tff(c_14475,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_12777]) ).
tff(c_14481,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14475,c_174]) ).
tff(c_14511,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_6174,c_14481,c_6169]) ).
tff(c_14515,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14511,c_112]) ).
tff(c_14574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13722,c_14515,c_13711,c_6173,c_10]) ).
tff(c_14576,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_13710,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13706,c_148]) ).
tff(c_14627,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_12777]) ).
tff(c_14632,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14627,c_126]) ).
tff(c_14661,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_14632,c_12320]) ).
tff(c_14662,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_14661]) ).
tff(c_14673,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14627,c_14662,c_80]) ).
tff(c_14674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_202,c_14576,c_14673]) ).
tff(c_14675,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_14661]) ).
tff(c_14577,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_14580,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14577,c_132]) ).
tff(c_14600,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_14580,c_12777]) ).
tff(c_14605,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14600,c_126]) ).
tff(c_14582,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14577,c_130]) ).
tff(c_14612,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_14605,c_14582,c_12320]) ).
tff(c_14623,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14577,c_14600,c_14612,c_80]) ).
tff(c_14624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_14576,c_14623]) ).
tff(c_14625,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_14688,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14675,c_14627,c_14625]) ).
tff(c_14689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13710,c_198,c_194,c_14688]) ).
tff(c_14690,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_12777]) ).
tff(c_14792,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14690,c_80]) ).
tff(c_14793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_12321,c_14576,c_14792]) ).
tff(c_14794,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_12322]) ).
tff(c_14796,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_14794]) ).
tff(c_14801,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14796,c_154]) ).
tff(c_14807,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_14802,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14796,c_156]) ).
tff(c_14818,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_10164]) ).
tff(c_14824,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14818,c_98]) ).
tff(c_14829,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_14824,c_4]) ).
tff(c_14830,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_14829]) ).
tff(c_14836,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14830,c_102]) ).
tff(c_15281,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_15282,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_15281]) ).
tff(c_15286,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15282,c_170]) ).
tff(c_14823,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14818,c_100]) ).
tff(c_15304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_14836,c_15286,c_14823,c_6]) ).
tff(c_15305,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_15281]) ).
tff(c_15312,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15305,c_178]) ).
tff(c_14835,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14830,c_164]) ).
tff(c_15318,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14796,c_92]) ).
tff(c_15319,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_14835,c_204,c_15318]) ).
tff(c_15320,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_15319]) ).
tff(c_15325,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15320,c_192]) ).
tff(c_14834,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14830,c_160]) ).
tff(c_14841,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_14834,c_12320]) ).
tff(c_14842,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_14841]) ).
tff(c_14848,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14842,c_168]) ).
tff(c_14853,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_14854,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_14853]) ).
tff(c_14861,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14854,c_170]) ).
tff(c_14909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_14836,c_14861,c_14823,c_6]) ).
tff(c_14910,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_14853]) ).
tff(c_14915,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14910,c_112]) ).
tff(c_14821,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14818,c_148]) ).
tff(c_15017,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_14802,c_14821,c_18]) ).
tff(c_15018,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_15017]) ).
tff(c_15038,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14807,c_14842,c_15018,c_72]) ).
tff(c_15039,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_15038]) ).
tff(c_15072,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15039,c_780,c_765,c_90]) ).
tff(c_15073,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_15072]) ).
tff(c_14795,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_12322]) ).
tff(c_14917,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14910,c_178]) ).
tff(c_14923,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14796,c_88]) ).
tff(c_14924,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_14923]) ).
tff(c_14925,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_14924]) ).
tff(c_14930,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14925,c_192]) ).
tff(c_14956,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14807,c_14842,c_72]) ).
tff(c_14957,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_14930,c_202,c_194,c_14956]) ).
tff(c_14961,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14957,c_150]) ).
tff(c_15001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14801,c_14915,c_14961,c_6173,c_10]) ).
tff(c_15002,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_14924]) ).
tff(c_15004,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_15002]) ).
tff(c_15008,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15004,c_138]) ).
tff(c_15084,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_14795,c_14917,c_15008,c_30]) ).
tff(c_15052,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14807,c_14910,c_70]) ).
tff(c_15053,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_15008,c_202,c_198,c_15052]) ).
tff(c_15156,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15073,c_15084,c_15073,c_15053,c_15084,c_15073,c_15073,c_738]) ).
tff(c_15157,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_15017]) ).
tff(c_15163,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15157,c_150]) ).
tff(c_15204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14801,c_14915,c_15163,c_6173,c_10]) ).
tff(c_15205,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_15002]) ).
tff(c_15266,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15205,c_14796,c_84]) ).
tff(c_15267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6176,c_194,c_14848,c_200,c_15266]) ).
tff(c_15268,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_14841]) ).
tff(c_15272,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15268,c_130]) ).
tff(c_15388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_15325,c_15272,c_6175,c_24]) ).
tff(c_15389,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_15319]) ).
tff(c_15391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15312,c_15389]) ).
tff(c_15392,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_14829]) ).
tff(c_15398,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15392,c_164]) ).
tff(c_15822,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14796,c_88]) ).
tff(c_15823,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_15398,c_202,c_15822]) ).
tff(c_15824,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_15823]) ).
tff(c_15801,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_6175,c_24]) ).
tff(c_15802,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_15801]) ).
tff(c_15805,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15802,c_128]) ).
tff(c_15405,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_15406,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_15405]) ).
tff(c_15413,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15406,c_178]) ).
tff(c_15542,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14796,c_88]) ).
tff(c_15543,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_15413,c_15398,c_202,c_15542]) ).
tff(c_14797,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14796,c_134]) ).
tff(c_15397,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15392,c_160]) ).
tff(c_15428,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_15397,c_12320]) ).
tff(c_15429,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_15428]) ).
tff(c_15434,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15429,c_168]) ).
tff(c_15593,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_14797,c_15398,c_15434,c_28]) ).
tff(c_15659,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15543,c_15593,c_15543,c_15429,c_15593,c_15543,c_15543,c_746]) ).
tff(c_15660,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_15428]) ).
tff(c_15664,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15660,c_130]) ).
tff(c_15665,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15660,c_122]) ).
tff(c_15672,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14807,c_15660,c_72]) ).
tff(c_15673,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_15672]) ).
tff(c_15674,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_15673]) ).
tff(c_15689,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15674,c_128]) ).
tff(c_15694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14802,c_15665,c_15689,c_14821,c_18]) ).
tff(c_15696,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_15673]) ).
tff(c_15752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_15664,c_15696,c_6175,c_24]) ).
tff(c_15753,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_15405]) ).
tff(c_15769,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15753,c_112]) ).
tff(c_15792,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_14801,c_15769,c_6173,c_10]) ).
tff(c_15796,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15792,c_150]) ).
tff(c_15811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14802,c_15805,c_15796,c_14821,c_18]) ).
tff(c_15812,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_15801]) ).
tff(c_15817,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15812,c_192]) ).
tff(c_15834,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15824,c_15817]) ).
tff(c_15835,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_15823]) ).
tff(c_15777,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_15397,c_12320]) ).
tff(c_15778,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_15777]) ).
tff(c_15783,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15778,c_168]) ).
tff(c_15849,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_14797,c_15398,c_15783,c_28]) ).
tff(c_15858,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15835,c_15849,c_14796,c_84]) ).
tff(c_15859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6176,c_194,c_196,c_200,c_15858]) ).
tff(c_15860,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_15777]) ).
tff(c_15865,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15860,c_122]) ).
tff(c_15864,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15860,c_130]) ).
tff(c_15872,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_15864,c_6175,c_24]) ).
tff(c_15876,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15872,c_128]) ).
tff(c_15882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14802,c_15865,c_15876,c_14821,c_18]) ).
tff(c_15883,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10164]) ).
tff(c_16066,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15883,c_148]) ).
tff(c_15885,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_14802,c_18]) ).
tff(c_15886,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_15885]) ).
tff(c_15890,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15886,c_150]) ).
tff(c_15898,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15883,c_146]) ).
tff(c_16061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14801,c_15890,c_15898,c_6173,c_10]) ).
tff(c_16062,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_15885]) ).
tff(c_16075,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_16066,c_16062]) ).
tff(c_16526,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14807,c_16075,c_72]) ).
tff(c_16527,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_16526]) ).
tff(c_16528,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_16527]) ).
tff(c_16701,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14807,c_16528,c_14807,c_780,c_16528,c_14807,c_14807,c_722]) ).
tff(c_16702,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_16527]) ).
tff(c_16112,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14796,c_92]) ).
tff(c_16113,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_16112]) ).
tff(c_16114,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_16113]) ).
tff(c_16119,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16114,c_192]) ).
tff(c_16081,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16075,c_122]) ).
tff(c_16100,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_16081,c_12320]) ).
tff(c_16101,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_16100]) ).
tff(c_16149,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14807,c_16101,c_16075,c_76]) ).
tff(c_16150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16119,c_204,c_198,c_196,c_16149]) ).
tff(c_16152,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_16113]) ).
tff(c_16433,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_16152,c_6176,c_32]) ).
tff(c_16088,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_16089,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_16088]) ).
tff(c_16094,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16089,c_178]) ).
tff(c_16151,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_16113]) ).
tff(c_16153,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_16151]) ).
tff(c_16176,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16153,c_14796,c_88]) ).
tff(c_16177,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_16094,c_198,c_202,c_16176]) ).
tff(c_16068,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15883,c_100]) ).
tff(c_16187,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_16068,c_6]) ).
tff(c_16188,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_16187]) ).
tff(c_16067,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15883,c_146]) ).
tff(c_16197,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_14801,c_16067,c_6173,c_10]) ).
tff(c_16156,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16153,c_138]) ).
tff(c_16230,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_14795,c_16156,c_16094,c_30]) ).
tff(c_16104,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16101,c_130]) ).
tff(c_16205,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_16104,c_6175,c_24]) ).
tff(c_618,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_16336,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16177,c_765,c_16188,c_16197,c_16230,c_16205,c_16075,c_16230,c_618]) ).
tff(c_16337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_200,c_196,c_16336]) ).
tff(c_16338,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_16187]) ).
tff(c_16343,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16338,c_102]) ).
tff(c_16158,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16153,c_166]) ).
tff(c_16095,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16089,c_114]) ).
tff(c_16164,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_16158,c_16095,c_6172,c_12]) ).
tff(c_16365,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16153,c_16101,c_16164,c_50]) ).
tff(c_16366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_16343,c_16365]) ).
tff(c_16367,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_16151]) ).
tff(c_16420,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16367,c_14796,c_84]) ).
tff(c_16421,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_6176,c_196,c_200,c_16420]) ).
tff(c_16380,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_16095,c_6172,c_12]) ).
tff(c_16381,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_16380]) ).
tff(c_58,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_16471,plain,
( ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16421,c_16101,c_16381,c_58]) ).
tff(c_16472,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_16471]) ).
tff(c_16508,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16433,c_16421,c_16433,c_16472,c_16433,c_16421,c_16433,c_750]) ).
tff(c_16509,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_16380]) ).
tff(c_16515,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16509,c_110]) ).
tff(c_16523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14801,c_16515,c_16067,c_6173,c_10]) ).
tff(c_16525,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_16100]) ).
tff(c_16715,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16702,c_16525]) ).
tff(c_16716,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_16088]) ).
tff(c_16732,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16716,c_112]) ).
tff(c_16779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14801,c_16732,c_16067,c_6173,c_10]) ).
tff(c_16781,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_17179,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_17180,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_17179]) ).
tff(c_17183,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17180,c_174]) ).
tff(c_16782,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_10164]) ).
tff(c_16788,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16782,c_98]) ).
tff(c_16793,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_16788,c_4]) ).
tff(c_16794,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_16793]) ).
tff(c_16800,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16794,c_102]) ).
tff(c_16798,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16794,c_160]) ).
tff(c_16805,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_16798,c_12320]) ).
tff(c_16806,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_16805]) ).
tff(c_16812,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16806,c_126]) ).
tff(c_16818,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16806,c_72]) ).
tff(c_16819,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_16818]) ).
tff(c_16820,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_16819]) ).
tff(c_16843,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16820,c_16806,c_80]) ).
tff(c_16844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_16781,c_200,c_14802,c_16843]) ).
tff(c_16845,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_16819]) ).
tff(c_16847,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_16845]) ).
tff(c_16852,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16847,c_124]) ).
tff(c_16780,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_16872,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_16812,c_16852,c_16780]) ).
tff(c_16896,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16872,c_16806,c_16847,c_80]) ).
tff(c_16897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_200,c_202,c_16896]) ).
tff(c_16898,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_16845]) ).
tff(c_16905,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16898,c_172]) ).
tff(c_16787,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16782,c_100]) ).
tff(c_16936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_16800,c_16905,c_16787,c_6]) ).
tff(c_16937,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_16805]) ).
tff(c_16944,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16937,c_126]) ).
tff(c_16951,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_16952,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_16951]) ).
tff(c_16957,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16952,c_170]) ).
tff(c_16999,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_16794,c_16782,c_40]) ).
tff(c_17000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_16957,c_198,c_194,c_16999]) ).
tff(c_17001,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_16951]) ).
tff(c_17006,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17001,c_174]) ).
tff(c_17015,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_16944,c_17006,c_16780]) ).
tff(c_17057,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17015,c_16937,c_80]) ).
tff(c_17058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_202,c_14802,c_17057]) ).
tff(c_17059,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_16793]) ).
tff(c_17064,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17059,c_160]) ).
tff(c_17072,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_17064,c_12320]) ).
tff(c_17073,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_17072]) ).
tff(c_17079,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17073,c_126]) ).
tff(c_17085,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17073,c_72]) ).
tff(c_17086,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_17085]) ).
tff(c_17087,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_17086]) ).
tff(c_17090,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17087,c_132]) ).
tff(c_17112,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_17079,c_17090,c_16780]) ).
tff(c_17116,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17112,c_124]) ).
tff(c_17091,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17087,c_128]) ).
tff(c_16785,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16782,c_148]) ).
tff(c_17123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14802,c_17116,c_17091,c_16785,c_18]) ).
tff(c_17124,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_17086]) ).
tff(c_17126,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_17124]) ).
tff(c_17136,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17073,c_17126,c_80]) ).
tff(c_17137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_16781,c_200,c_202,c_17136]) ).
tff(c_17138,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_17124]) ).
tff(c_17163,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17138,c_17073,c_80]) ).
tff(c_17164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_200,c_14802,c_17163]) ).
tff(c_17165,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_17072]) ).
tff(c_17172,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17165,c_126]) ).
tff(c_17203,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_17183,c_17172,c_16780]) ).
tff(c_17215,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17203,c_17165,c_72]) ).
tff(c_17216,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_17215]) ).
tff(c_17217,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_17216]) ).
tff(c_17226,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17217,c_17203,c_17165,c_80]) ).
tff(c_17227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_14802,c_17226]) ).
tff(c_17228,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_17216]) ).
tff(c_17269,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17203,c_17165,c_17228,c_80]) ).
tff(c_17270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_204,c_202,c_17269]) ).
tff(c_17271,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_17179]) ).
tff(c_17277,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17271,c_170]) ).
tff(c_17066,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17059,c_102]) ).
tff(c_17330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_17277,c_17066,c_16787,c_6]) ).
tff(c_17331,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10164]) ).
tff(c_17335,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17331,c_148]) ).
tff(c_17344,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_14802,c_18]) ).
tff(c_17345,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_17344]) ).
tff(c_17356,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17345,c_80]) ).
tff(c_17357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_16781,c_12321,c_204,c_17356]) ).
tff(c_17358,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_17344]) ).
tff(c_17360,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_17335,c_17358]) ).
tff(c_17374,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17360,c_80]) ).
tff(c_17375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_16781,c_12321,c_200,c_17374]) ).
tff(c_17376,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_14794]) ).
tff(c_17381,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_17376,c_166]) ).
tff(c_18644,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_12321,c_80]) ).
tff(c_18645,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_18644]) ).
tff(c_18657,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_18645,c_124]) ).
tff(c_17388,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_10164]) ).
tff(c_17391,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17388,c_148]) ).
tff(c_17400,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17391,c_18]) ).
tff(c_17401,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_17400]) ).
tff(c_17405,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_17401,c_124]) ).
tff(c_17412,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_17413,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_17412]) ).
tff(c_17420,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17413,c_114]) ).
tff(c_17418,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17413,c_170]) ).
tff(c_17416,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17413,c_174]) ).
tff(c_17425,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17381,c_6172,c_12]) ).
tff(c_17426,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_17425]) ).
tff(c_17431,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17426,c_162]) ).
tff(c_17437,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_17431,c_12320]) ).
tff(c_17438,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_17437]) ).
tff(c_17443,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17438,c_126]) ).
tff(c_17448,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_17405,c_17416,c_17443,c_22]) ).
tff(c_17453,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17448,c_172]) ).
tff(c_17394,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17388,c_100]) ).
tff(c_17459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_17453,c_17418,c_17394,c_6]) ).
tff(c_17460,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_17437]) ).
tff(c_17466,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17460,c_160]) ).
tff(c_17525,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_17388,c_40]) ).
tff(c_17526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_17418,c_17466,c_194,c_17525]) ).
tff(c_17527,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_17425]) ).
tff(c_17529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17420,c_17527]) ).
tff(c_17530,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_17412]) ).
tff(c_17534,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17530,c_174]) ).
tff(c_17538,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17530,c_114]) ).
tff(c_17544,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_17381,c_17538,c_6172,c_12]) ).
tff(c_17549,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17544,c_162]) ).
tff(c_17555,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_17549,c_12320]) ).
tff(c_17556,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_17555]) ).
tff(c_17561,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17556,c_126]) ).
tff(c_17566,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_17405,c_17534,c_17561,c_22]) ).
tff(c_17571,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17566,c_172]) ).
tff(c_17548,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17544,c_158]) ).
tff(c_17395,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17388,c_98]) ).
tff(c_17588,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_17548,c_17395,c_4]) ).
tff(c_17611,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_17588,c_17388,c_40]) ).
tff(c_17612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_17571,c_198,c_194,c_17611]) ).
tff(c_17613,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_17555]) ).
tff(c_17618,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17613,c_160]) ).
tff(c_17635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_17618,c_17548,c_17395,c_4]) ).
tff(c_17637,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_17400]) ).
tff(c_18616,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_12321,c_17637,c_80]) ).
tff(c_17638,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_18024,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_765,c_90]) ).
tff(c_18025,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_18024]) ).
tff(c_18026,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_18025]) ).
tff(c_18031,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18026,c_192]) ).
tff(c_17636,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_17400]) ).
tff(c_17649,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_17636]) ).
tff(c_17652,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17649,c_128]) ).
tff(c_18040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_18031,c_17652,c_6175,c_24]) ).
tff(c_18041,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_18025]) ).
tff(c_18053,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18041,c_780,c_765,c_86]) ).
tff(c_18054,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_18053]) ).
tff(c_17654,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17649,c_122]) ).
tff(c_17660,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_17395,c_4]) ).
tff(c_17661,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_17660]) ).
tff(c_17665,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17661,c_160]) ).
tff(c_17671,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_17654,c_17665,c_12320]) ).
tff(c_17666,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17661,c_102]) ).
tff(c_17852,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_17666,c_17394,c_6]) ).
tff(c_17718,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_765,c_90]) ).
tff(c_17719,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_17718]) ).
tff(c_17720,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_17719]) ).
tff(c_17725,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17720,c_192]) ).
tff(c_17793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_17725,c_17652,c_6175,c_24]) ).
tff(c_17795,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_17719]) ).
tff(c_17681,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_17682,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_17681]) ).
tff(c_17686,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17682,c_170]) ).
tff(c_17715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_17666,c_17686,c_17394,c_6]) ).
tff(c_17716,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_17681]) ).
tff(c_17819,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17716,c_178]) ).
tff(c_17826,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17376,c_92]) ).
tff(c_17827,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_17795,c_17819,c_204,c_17826]) ).
tff(c_46,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_17881,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17827,c_17649,c_17388,c_46]) ).
tff(c_17882,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_17881]) ).
tff(c_17794,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_17719]) ).
tff(c_17838,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17794,c_780,c_765,c_86]) ).
tff(c_17839,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_17838]) ).
tff(c_17843,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17839,c_144]) ).
tff(c_17863,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_14795,c_17819,c_17843,c_30]) ).
tff(c_490,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_17966,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17671,c_17852,c_765,c_17882,c_17863,c_17794,c_17649,c_17863,c_490]) ).
tff(c_17967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_200,c_198,c_17966]) ).
tff(c_17968,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_17660]) ).
tff(c_17974,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17968,c_102]) ).
tff(c_18015,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_17974,c_17394,c_6]) ).
tff(c_18019,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18015,c_176]) ).
tff(c_18066,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18054,c_17376,c_92]) ).
tff(c_18067,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_18019,c_204,c_18066]) ).
tff(c_17972,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17968,c_158]) ).
tff(c_18004,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_17381,c_17972,c_6172,c_12]) ).
tff(c_18008,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18004,c_110]) ).
tff(c_17653,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17649,c_150]) ).
tff(c_18085,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_18008,c_17653,c_6173,c_10]) ).
tff(c_17980,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_17654,c_12320]) ).
tff(c_17981,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_17980]) ).
tff(c_18183,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18054,c_765,c_18067,c_780,c_18085,c_17981,c_780,c_17376,c_696]) ).
tff(c_18184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_202,c_194,c_18183]) ).
tff(c_18185,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_17980]) ).
tff(c_18189,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18185,c_130]) ).
tff(c_18210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_18189,c_17652,c_6175,c_24]) ).
tff(c_18211,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_17636]) ).
tff(c_18215,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18211,c_128]) ).
tff(c_18292,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_765,c_90]) ).
tff(c_18293,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_18215,c_196,c_204,c_18292]) ).
tff(c_17393,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17388,c_152]) ).
tff(c_18315,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18293,c_17376,c_84]) ).
tff(c_18316,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_17393,c_18315]) ).
tff(c_18224,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_17395,c_4]) ).
tff(c_18225,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_18224]) ).
tff(c_18305,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_18225,c_17388,c_40]) ).
tff(c_18306,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_18305]) ).
tff(c_18417,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18293,c_18316,c_18293,c_18306,c_18316,c_18293,c_18293,c_738]) ).
tff(c_18418,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_18224]) ).
tff(c_18423,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18418,c_160]) ).
tff(c_18217,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18211,c_122]) ).
tff(c_18452,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_18423,c_18217,c_12320]) ).
tff(c_18502,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17638,c_18452,c_18211,c_72]) ).
tff(c_18503,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_18502]) ).
tff(c_18613,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17638,c_18503,c_17638,c_780,c_18503,c_17638,c_17638,c_722]) ).
tff(c_18615,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_18628,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18616,c_18615]) ).
tff(c_18629,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10164]) ).
tff(c_18637,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18629,c_98]) ).
tff(c_18643,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_12320]) ).
tff(c_18649,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18643,c_160]) ).
tff(c_18689,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_18637,c_18649,c_4]) ).
tff(c_18693,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18689,c_158]) ).
tff(c_18666,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_18667,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_18666]) ).
tff(c_18673,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18667,c_114]) ).
tff(c_18699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17381,c_18693,c_18673,c_6172,c_12]) ).
tff(c_18700,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_18666]) ).
tff(c_18706,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18700,c_178]) ).
tff(c_18724,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17376,c_92]) ).
tff(c_18725,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_18706,c_204,c_18724]) ).
tff(c_18726,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_18725]) ).
tff(c_18731,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18726,c_192]) ).
tff(c_18759,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_18731,c_6175,c_24]) ).
tff(c_18889,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18645,c_18759,c_18645,c_780,c_18759,c_18645,c_18645,c_722]) ).
tff(c_18890,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_18725]) ).
tff(c_18896,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18890,c_156]) ).
tff(c_18633,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18629,c_148]) ).
tff(c_18648,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18643,c_122]) ).
tff(c_18926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18657,c_18896,c_18633,c_18648,c_18]) ).
tff(c_18927,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_18644]) ).
tff(c_18957,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_18927,c_150]) ).
tff(c_18932,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18643,c_160]) ).
tff(c_18964,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_18637,c_18932,c_4]) ).
tff(c_18968,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18964,c_158]) ).
tff(c_18974,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_18975,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_18974]) ).
tff(c_18982,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18975,c_114]) ).
tff(c_19030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17381,c_18968,c_18982,c_6172,c_12]) ).
tff(c_19031,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_18974]) ).
tff(c_19036,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19031,c_112]) ).
tff(c_18634,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18629,c_146]) ).
tff(c_19131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18957,c_19036,c_18634,c_6173,c_10]) ).
tff(c_19132,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_12320]) ).
tff(c_19134,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_19132]) ).
tff(c_19140,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19134,c_162]) ).
tff(c_19268,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6174,c_6169]) ).
tff(c_19269,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_19268]) ).
tff(c_19276,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19269,c_114]) ).
tff(c_19313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17381,c_19140,c_19276,c_6172,c_12]) ).
tff(c_19314,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_19268]) ).
tff(c_19320,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19314,c_170]) ).
tff(c_19139,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19134,c_160]) ).
tff(c_19341,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_19139,c_18637,c_4]) ).
tff(c_19388,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e3,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_19341,c_18629,c_44]) ).
tff(c_19389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_19320,c_196,c_198,c_19388]) ).
tff(c_19390,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_19132]) ).
tff(c_19397,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19390,c_162]) ).
tff(c_19404,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17381,c_6172,c_12]) ).
tff(c_19405,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_19404]) ).
tff(c_19410,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19405,c_110]) ).
tff(c_19667,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_19410,c_18634,c_6173,c_10]) ).
tff(c_19671,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19667,c_150]) ).
tff(c_19409,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19405,c_114]) ).
tff(c_19416,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6174,c_19409,c_6169]) ).
tff(c_19509,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_19416,c_19405,c_64]) ).
tff(c_19510,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_19509]) ).
tff(c_19408,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19405,c_158]) ).
tff(c_19479,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_19408,c_18637,c_4]) ).
tff(c_19428,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17376,c_92]) ).
tff(c_19429,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_19428]) ).
tff(c_19430,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_19429]) ).
tff(c_19435,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19430,c_192]) ).
tff(c_19394,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19390,c_130]) ).
tff(c_19465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_19435,c_19394,c_6175,c_24]) ).
tff(c_19467,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_19429]) ).
tff(c_19488,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19467,c_6176,c_32]) ).
tff(c_19466,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_19429]) ).
tff(c_19468,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_19466]) ).
tff(c_19498,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19488,c_17376,c_19468,c_84]) ).
tff(c_19499,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_19498]) ).
tff(c_19530,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19488,c_780,c_765,c_90]) ).
tff(c_19531,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_19530]) ).
tff(c_19514,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19510,c_150]) ).
tff(c_19474,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19468,c_156]) ).
tff(c_19544,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_19514,c_19474,c_18633,c_18]) ).
tff(c_426,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_19653,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19510,c_19479,c_19390,c_19416,c_19499,c_19531,c_19544,c_19499,c_426]) ).
tff(c_19654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_200,c_196,c_19653]) ).
tff(c_19655,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_19466]) ).
tff(c_19686,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19655,c_17376,c_84]) ).
tff(c_19687,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_6176,c_196,c_200,c_19686]) ).
tff(c_19692,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19687,c_156]) ).
tff(c_19701,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_19671,c_18633,c_19692,c_18]) ).
tff(c_19705,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19701,c_128]) ).
tff(c_19711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_19705,c_19394,c_6175,c_24]) ).
tff(c_19712,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_19404]) ).
tff(c_19714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19397,c_19712]) ).
tff(c_19715,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_778]) ).
tff(c_19717,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_19715]) ).
tff(c_19723,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_186]) ).
tff(c_19724,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_190]) ).
tff(c_26878,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_26884,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26878,c_192]) ).
tff(c_27197,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_26884,c_32]) ).
tff(c_26881,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26878,c_132]) ).
tff(c_25172,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_25176,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25172,c_174]) ).
tff(c_26070,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_64]) ).
tff(c_26071,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_25176,c_26070]) ).
tff(c_26072,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_26071]) ).
tff(c_26078,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26072,c_110]) ).
tff(c_19721,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_116]) ).
tff(c_19729,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_2]) ).
tff(c_19730,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_19729]) ).
tff(c_19736,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19730,c_98]) ).
tff(c_19741,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_32]) ).
tff(c_19742,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_19741]) ).
tff(c_20871,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_96]) ).
tff(c_20872,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_20871]) ).
tff(c_20873,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_20872]) ).
tff(c_20875,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20873,c_136]) ).
tff(c_19734,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19730,c_152]) ).
tff(c_20848,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_140]) ).
tff(c_19735,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19730,c_100]) ).
tff(c_20719,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_19735,c_6]) ).
tff(c_20720,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_20719]) ).
tff(c_19722,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_120]) ).
tff(c_19743,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19722,c_14]) ).
tff(c_19744,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_19743]) ).
tff(c_20830,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19730,c_20720,c_19730,c_19744,c_20720,c_19730,c_19730,c_736]) ).
tff(c_20831,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_20719]) ).
tff(c_19760,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19744,c_114]) ).
tff(c_19720,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_118]) ).
tff(c_20697,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_19736,c_4]) ).
tff(c_20698,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_20697]) ).
tff(c_20701,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20698,c_158]) ).
tff(c_19757,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19744,c_112]) ).
tff(c_19765,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_19757,c_19721,c_10]) ).
tff(c_19766,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_19765]) ).
tff(c_19771,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19766,c_110]) ).
tff(c_19967,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_19760,c_19720,c_19771,c_12]) ).
tff(c_19776,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_19736,c_4]) ).
tff(c_19777,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_19776]) ).
tff(c_19750,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_192]) ).
tff(c_20032,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_19750,c_24]) ).
tff(c_19732,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19730,c_148]) ).
tff(c_19769,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19766,c_150]) ).
tff(c_19899,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19732,c_19769,c_18]) ).
tff(c_19900,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_19899]) ).
tff(c_19756,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19744,c_174]) ).
tff(c_19788,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19756,c_22]) ).
tff(c_19789,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_19788]) ).
tff(c_19804,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19789,c_180]) ).
tff(c_19759,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19744,c_178]) ).
tff(c_19783,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19777,c_102]) ).
tff(c_19790,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_19735,c_19783,c_6]) ).
tff(c_19795,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19790,c_176]) ).
tff(c_19810,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_84]) ).
tff(c_19811,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_19795,c_19810]) ).
tff(c_19812,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_19811]) ).
tff(c_19822,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_19812,c_96]) ).
tff(c_19823,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_19759,c_200,c_19822]) ).
tff(c_19843,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_19812,c_19823,c_92]) ).
tff(c_19844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_19804,c_196,c_204,c_19843]) ).
tff(c_19845,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_19811]) ).
tff(c_19872,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_19845,c_96]) ).
tff(c_19873,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_19759,c_200,c_19872]) ).
tff(c_19895,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_19873,c_19845,c_92]) ).
tff(c_19896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_19804,c_204,c_196,c_19895]) ).
tff(c_19897,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_19788]) ).
tff(c_19911,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_19897]) ).
tff(c_19914,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19911,c_132]) ).
tff(c_19953,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_19750,c_19914,c_24]) ).
tff(c_19954,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_19897]) ).
tff(c_19991,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_19735,c_19783,c_6]) ).
tff(c_19972,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19967,c_166]) ).
tff(c_19979,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_84]) ).
tff(c_19980,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_19972,c_19979]) ).
tff(c_19981,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_19980]) ).
tff(c_19986,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19981,c_176]) ).
tff(c_20000,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19991,c_19986]) ).
tff(c_20001,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_19980]) ).
tff(c_20012,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_20001,c_96]) ).
tff(c_20013,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_19759,c_200,c_20012]) ).
tff(c_20022,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_20013,c_20001,c_92]) ).
tff(c_20023,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_20022]) ).
tff(c_20155,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19967,c_19777,c_20032,c_19744,c_765,c_19900,c_19954,c_20023,c_402]) ).
tff(c_20156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_198,c_20155]) ).
tff(c_20157,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_19899]) ).
tff(c_20161,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20157,c_128]) ).
tff(c_82,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_20280,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_19717,c_765,c_82]) ).
tff(c_20281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_20161,c_196,c_200,c_20280]) ).
tff(c_20282,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_19776]) ).
tff(c_20286,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20282,c_158]) ).
tff(c_20370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19760,c_19720,c_19771,c_20286,c_12]) ).
tff(c_20371,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_19765]) ).
tff(c_20377,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20371,c_110]) ).
tff(c_20707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19760,c_19720,c_20701,c_20377,c_12]) ).
tff(c_20708,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_20697]) ).
tff(c_20713,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20708,c_102]) ).
tff(c_20843,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20831,c_20713]) ).
tff(c_20844,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_19743]) ).
tff(c_20884,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_20844]) ).
tff(c_21143,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_20884,c_64]) ).
tff(c_21144,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_21143]) ).
tff(c_21145,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_21144]) ).
tff(c_20851,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_192]) ).
tff(c_20856,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_24]) ).
tff(c_20857,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_20856]) ).
tff(c_20858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20851,c_20857]) ).
tff(c_20859,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_20856]) ).
tff(c_718,plain,
( ( op(op(e2,op(e2,e2)),op(e2,e2)) != e3 )
| ( op(e2,op(e2,e2)) != e1 )
| ( op(e2,e2) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_604]) ).
tff(c_21280,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21145,c_19717,c_21145,c_20859,c_21145,c_19717,c_21145,c_718]) ).
tff(c_21281,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_21144]) ).
tff(c_21285,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_21281,c_150]) ).
tff(c_20879,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20873,c_180]) ).
tff(c_20866,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20859,c_130]) ).
tff(c_20895,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_20866,c_20]) ).
tff(c_20896,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20895]) ).
tff(c_20889,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20884,c_170]) ).
tff(c_20993,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_19735,c_20889,c_6]) ).
tff(c_20900,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20896,c_162]) ).
tff(c_20890,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20884,c_114]) ).
tff(c_20952,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_20900,c_19720,c_20890,c_12]) ).
tff(c_20957,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20952,c_110]) ).
tff(c_20888,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20884,c_112]) ).
tff(c_20962,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_19721,c_20957,c_20888,c_10]) ).
tff(c_20982,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_20875,c_19734,c_20848,c_26]) ).
tff(c_21106,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20896,c_20993,c_765,c_20962,c_20982,c_20859,c_20859,c_20873,c_490]) ).
tff(c_21107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_196,c_21106]) ).
tff(c_21108,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_20895]) ).
tff(c_21110,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_21108]) ).
tff(c_21116,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21110,c_126]) ).
tff(c_20864,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20859,c_132]) ).
tff(c_21122,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_20879,c_21116,c_20864,c_22]) ).
tff(c_21330,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20859,c_21122,c_21110,c_80]) ).
tff(c_21331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_21285,c_21330]) ).
tff(c_21332,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_21108]) ).
tff(c_21341,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_21332,c_168]) ).
tff(c_21368,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_20875,c_19734,c_20848,c_26]) ).
tff(c_21379,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_20873,c_21368,c_92]) ).
tff(c_21380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_21341,c_196,c_21379]) ).
tff(c_21381,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_20844]) ).
tff(c_21386,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21381,c_112]) ).
tff(c_21396,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19721,c_21386,c_10]) ).
tff(c_21397,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_21396]) ).
tff(c_21400,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_21397,c_150]) ).
tff(c_21385,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21381,c_174]) ).
tff(c_21431,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20859,c_72]) ).
tff(c_21432,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_21385,c_21431]) ).
tff(c_21433,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_21432]) ).
tff(c_21436,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21433,c_122]) ).
tff(c_20865,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20859,c_128]) ).
tff(c_21450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21400,c_19732,c_21436,c_20865,c_18]) ).
tff(c_21451,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_21432]) ).
tff(c_21387,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21381,c_170]) ).
tff(c_21462,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_19735,c_21387,c_6]) ).
tff(c_21402,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_21397,c_110]) ).
tff(c_21388,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21381,c_114]) ).
tff(c_21474,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_21402,c_19720,c_21388,c_12]) ).
tff(c_21467,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21462,c_102]) ).
tff(c_21490,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_19736,c_21467,c_4]) ).
tff(c_21603,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21451,c_21462,c_21397,c_21474,c_21490,c_21451,c_20859,c_20873,c_498]) ).
tff(c_21604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_196,c_21603]) ).
tff(c_21605,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_21396]) ).
tff(c_21610,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21605,c_154]) ).
tff(c_21617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20875,c_19734,c_20848,c_21610,c_26]) ).
tff(c_21618,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_20872]) ).
tff(c_22307,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_21618]) ).
tff(c_22312,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22307,c_154]) ).
tff(c_21620,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19720,c_12]) ).
tff(c_21621,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_21620]) ).
tff(c_21976,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21621,c_19717,c_21621,c_20859,c_19717,c_21621,c_21621,c_718]) ).
tff(c_21977,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_21620]) ).
tff(c_21979,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_21977]) ).
tff(c_21985,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21979,c_114]) ).
tff(c_22318,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_21985,c_20844]) ).
tff(c_22323,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22318,c_112]) ).
tff(c_21986,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21979,c_110]) ).
tff(c_22329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22312,c_19721,c_22323,c_21986,c_10]) ).
tff(c_22330,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_21618]) ).
tff(c_22336,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22330,c_168]) ).
tff(c_22341,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_21985,c_20844]) ).
tff(c_22345,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22341,c_174]) ).
tff(c_22096,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_21985,c_20844]) ).
tff(c_22100,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22096,c_112]) ).
tff(c_22106,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19721,c_21986,c_10]) ).
tff(c_22107,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_22106]) ).
tff(c_21991,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_19735,c_6]) ).
tff(c_21992,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_21991]) ).
tff(c_21996,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21992,c_170]) ).
tff(c_22003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21985,c_21996,c_20844]) ).
tff(c_22004,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_21991]) ).
tff(c_22022,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22004,c_176]) ).
tff(c_22029,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19721,c_21986,c_10]) ).
tff(c_22030,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_22029]) ).
tff(c_22028,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_21618]) ).
tff(c_22035,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22028,c_154]) ).
tff(c_22050,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22030,c_22035]) ).
tff(c_22051,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_22029]) ).
tff(c_22067,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22051,c_112]) ).
tff(c_22083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21985,c_22067,c_20844]) ).
tff(c_22084,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_21618]) ).
tff(c_22117,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_22084,c_84]) ).
tff(c_22118,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_22022,c_200,c_22117]) ).
tff(c_22006,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_20864,c_22]) ).
tff(c_22007,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22006]) ).
tff(c_22128,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22007,c_22096,c_22004,c_74]) ).
tff(c_22129,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_22128]) ).
tff(c_650,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_22279,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_765,c_22107,c_21979,c_22118,c_20859,c_22007,c_22129,c_650]) ).
tff(c_22280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_200,c_204,c_22279]) ).
tff(c_22281,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_22106]) ).
tff(c_22283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22100,c_22281]) ).
tff(c_22284,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_22006]) ).
tff(c_22352,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_22345,c_22284]) ).
tff(c_22357,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22352,c_126]) ).
tff(c_21982,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21979,c_158]) ).
tff(c_22297,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_19736,c_21982,c_4]) ).
tff(c_22301,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22297,c_160]) ).
tff(c_22393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22336,c_22357,c_22301,c_20866,c_20]) ).
tff(c_22394,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_21977]) ).
tff(c_22398,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22394,c_158]) ).
tff(c_22644,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_19736,c_22398,c_4]) ).
tff(c_22408,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_19735,c_6]) ).
tff(c_22409,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_22408]) ).
tff(c_22412,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22409,c_172]) ).
tff(c_22399,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22394,c_162]) ).
tff(c_22466,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20859,c_72]) ).
tff(c_22467,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_22412,c_22399,c_22466]) ).
tff(c_22413,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22409,c_170]) ).
tff(c_22420,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_22413,c_20844]) ).
tff(c_22444,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_21618]) ).
tff(c_22448,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22444,c_154]) ).
tff(c_22402,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22394,c_110]) ).
tff(c_22425,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22420,c_112]) ).
tff(c_22454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22448,c_19721,c_22402,c_22425,c_10]) ).
tff(c_22456,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_21618]) ).
tff(c_22513,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_22456,c_19734,c_20848,c_26]) ).
tff(c_22618,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19742,c_765,c_22467,c_22420,c_22513,c_20859,c_19730,c_22513,c_678]) ).
tff(c_22619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_200,c_196,c_22618]) ).
tff(c_22620,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_22408]) ).
tff(c_22639,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22620,c_102]) ).
tff(c_22655,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22644,c_22639]) ).
tff(c_22656,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_19741]) ).
tff(c_23959,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_19730,c_40]) ).
tff(c_23960,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_23959]) ).
tff(c_23961,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_23960]) ).
tff(c_23023,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_19735,c_6]) ).
tff(c_23024,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_23023]) ).
tff(c_22680,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19722,c_14]) ).
tff(c_22681,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_22680]) ).
tff(c_23146,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19730,c_23024,c_19730,c_22681,c_23024,c_19730,c_19730,c_736]) ).
tff(c_23147,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_23023]) ).
tff(c_22683,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22681,c_174]) ).
tff(c_22999,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_92]) ).
tff(c_23000,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_19734,c_22999]) ).
tff(c_23001,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_23000]) ).
tff(c_23007,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23001,c_180]) ).
tff(c_22663,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_192]) ).
tff(c_22669,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_22663,c_24]) ).
tff(c_22673,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22669,c_132]) ).
tff(c_23012,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_22683,c_23007,c_22673,c_22]) ).
tff(c_23018,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23012,c_172]) ).
tff(c_23158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23147,c_23018]) ).
tff(c_23159,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_23000]) ).
tff(c_23165,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23159,c_168]) ).
tff(c_22675,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22669,c_130]) ).
tff(c_22687,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22681,c_114]) ).
tff(c_22718,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_19730,c_40]) ).
tff(c_22719,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_22718]) ).
tff(c_22720,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_22719]) ).
tff(c_22725,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22720,c_102]) ).
tff(c_22684,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22681,c_112]) ).
tff(c_22692,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_22684,c_19721,c_10]) ).
tff(c_22693,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_22692]) ).
tff(c_22698,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22693,c_110]) ).
tff(c_22707,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_22687,c_19720,c_22698,c_12]) ).
tff(c_22711,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22707,c_158]) ).
tff(c_22741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_19736,c_22725,c_22711,c_4]) ).
tff(c_22742,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_22719]) ).
tff(c_22697,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22693,c_154]) ).
tff(c_22660,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_140]) ).
tff(c_22836,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_19734,c_22697,c_22660,c_26]) ).
tff(c_22877,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22836,c_22693,c_19730,c_34]) ).
tff(c_22878,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_22877]) ).
tff(c_22748,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22742,c_164]) ).
tff(c_22661,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_142]) ).
tff(c_22754,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_22748,c_22661,c_28]) ).
tff(c_22755,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_22754]) ).
tff(c_22756,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_92]) ).
tff(c_22757,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_19734,c_22756]) ).
tff(c_22758,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_22757]) ).
tff(c_22772,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22758,c_180]) ).
tff(c_22743,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_22719]) ).
tff(c_22781,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_19735,c_22743,c_6]) ).
tff(c_22785,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22781,c_172]) ).
tff(c_22792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22683,c_22772,c_22673,c_22785,c_22]) ).
tff(c_22793,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_22757]) ).
tff(c_22804,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_22755,c_22793]) ).
tff(c_22805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_22804]) ).
tff(c_22806,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_22754]) ).
tff(c_592,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_22972,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_765,c_22742,c_22693,c_19730,c_22878,c_22681,c_22806,c_592]) ).
tff(c_22973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_202,c_22972]) ).
tff(c_22974,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_22692]) ).
tff(c_22980,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22974,c_110]) ).
tff(c_22986,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_22687,c_19720,c_22980,c_12]) ).
tff(c_22990,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22986,c_158]) ).
tff(c_23245,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_19736,c_22990,c_4]) ).
tff(c_23249,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23245,c_160]) ).
tff(c_23266,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_23165,c_22675,c_23249,c_20]) ).
tff(c_23270,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_23266,c_122]) ).
tff(c_22674,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22669,c_128]) ).
tff(c_22978,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22974,c_150]) ).
tff(c_23287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23270,c_19732,c_22674,c_22978,c_18]) ).
tff(c_23288,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22680]) ).
tff(c_23290,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_23288]) ).
tff(c_23295,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23290,c_170]) ).
tff(c_23302,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19734,c_22660,c_26]) ).
tff(c_23303,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_23302]) ).
tff(c_23308,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_23303,c_154]) ).
tff(c_23294,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23290,c_112]) ).
tff(c_23329,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_23308,c_19721,c_23294,c_10]) ).
tff(c_23334,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23329,c_110]) ).
tff(c_23363,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_23303,c_92]) ).
tff(c_23364,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_23363]) ).
tff(c_23365,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_23364]) ).
tff(c_23370,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23365,c_180]) ).
tff(c_23293,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23290,c_174]) ).
tff(c_23375,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_23370,c_22673,c_23293,c_22]) ).
tff(c_23507,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_765,c_23365,c_19717,c_22669,c_23375,c_23375,c_23365,c_706]) ).
tff(c_23508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_198,c_204,c_23507]) ).
tff(c_23509,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_23364]) ).
tff(c_23510,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_23364]) ).
tff(c_23316,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_19730,c_40]) ).
tff(c_23317,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_23316]) ).
tff(c_23318,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_23317]) ).
tff(c_23524,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23290,c_23318,c_74]) ).
tff(c_23525,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_23510,c_196,c_198,c_23524]) ).
tff(c_23352,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23303,c_23329,c_19730,c_34]) ).
tff(c_23353,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_23352]) ).
tff(c_23542,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22669,c_23525,c_23353,c_80]) ).
tff(c_23543,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_23542]) ).
tff(c_23324,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23318,c_102]) ).
tff(c_23339,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_19736,c_23324,c_4]) ).
tff(c_54,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_23552,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23509,c_23543,c_23339,c_54]) ).
tff(c_23553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_23334,c_194,c_23552]) ).
tff(c_23554,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_23317]) ).
tff(c_23589,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23554,c_19730,c_36]) ).
tff(c_23590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_23295,c_194,c_196,c_23589]) ).
tff(c_23591,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_23302]) ).
tff(c_23952,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23591,c_154]) ).
tff(c_24020,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_19721,c_23952,c_23294,c_10]) ).
tff(c_23982,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23591,c_19730,c_34]) ).
tff(c_23983,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_23294,c_196,c_23982]) ).
tff(c_23593,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_22673,c_23293,c_22]) ).
tff(c_23594,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_23593]) ).
tff(c_23598,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_23594,c_126]) ).
tff(c_23616,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23591,c_19730,c_34]) ).
tff(c_23617,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_23294,c_196,c_23616]) ).
tff(c_23726,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23591,c_23617,c_19730,c_46]) ).
tff(c_23727,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_23726]) ).
tff(c_23707,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_23591,c_92]) ).
tff(c_23708,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_23707]) ).
tff(c_23709,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_23708]) ).
tff(c_23840,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_765,c_765,c_23727,c_19730,c_23617,c_23594,c_23709,c_594]) ).
tff(c_23841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_196,c_204,c_23840]) ).
tff(c_23842,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_23708]) ).
tff(c_23847,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23842,c_168]) ).
tff(c_23622,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23617,c_122]) ).
tff(c_23868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23598,c_23847,c_22675,c_23622,c_20]) ).
tff(c_23869,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_23593]) ).
tff(c_24004,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22669,c_23869,c_23983,c_80]) ).
tff(c_24005,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_24004]) ).
tff(c_24009,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24005,c_168]) ).
tff(c_23950,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23591,c_134]) ).
tff(c_24028,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_24009,c_23950,c_22661,c_28]) ).
tff(c_24037,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_24028,c_23591,c_96]) ).
tff(c_24038,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_24037]) ).
tff(c_210,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_24138,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23961,c_19730,c_765,c_24020,c_19730,c_23983,c_22669,c_24038,c_210]) ).
tff(c_24139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_198,c_24138]) ).
tff(c_24140,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_23960]) ).
tff(c_23297,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23290,c_114]) ).
tff(c_23882,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19720,c_23297,c_12]) ).
tff(c_23883,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_23882]) ).
tff(c_23887,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_23883,c_162]) ).
tff(c_23875,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23869,c_126]) ).
tff(c_23924,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_23887,c_23875,c_22675,c_20]) ).
tff(c_23934,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22669,c_23869,c_23924,c_80]) ).
tff(c_23935,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_23934]) ).
tff(c_23944,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23591,c_23935,c_19730,c_34]) ).
tff(c_23945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_23294,c_196,c_23944]) ).
tff(c_23946,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_23882]) ).
tff(c_24145,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23946,c_158]) ).
tff(c_24163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24140,c_24145]) ).
tff(c_24164,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_23288]) ).
tff(c_24169,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24164,c_112]) ).
tff(c_24177,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19734,c_22660,c_26]) ).
tff(c_24178,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_24177]) ).
tff(c_24182,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24178,c_136]) ).
tff(c_24181,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24178,c_134]) ).
tff(c_24343,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_24178,c_92]) ).
tff(c_24344,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_24343]) ).
tff(c_24345,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_24344]) ).
tff(c_24349,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_24345,c_138]) ).
tff(c_24170,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24164,c_170]) ).
tff(c_24189,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_19730,c_40]) ).
tff(c_24190,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_24170,c_198,c_24189]) ).
tff(c_24195,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24190,c_164]) ).
tff(c_24360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24181,c_24349,c_24195,c_22661,c_28]) ).
tff(c_24362,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_24344]) ).
tff(c_24171,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24164,c_178]) ).
tff(c_22662,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_144]) ).
tff(c_24381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24182,c_24362,c_24171,c_22662,c_30]) ).
tff(c_24382,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_24177]) ).
tff(c_24697,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24382,c_19730,c_34]) ).
tff(c_24698,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_24697]) ).
tff(c_24699,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_24698]) ).
tff(c_24702,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24699,c_150]) ).
tff(c_24711,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_19721,c_24169,c_24702,c_10]) ).
tff(c_24398,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_24382,c_92]) ).
tff(c_24399,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_24398]) ).
tff(c_24400,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_24399]) ).
tff(c_24436,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_24400,c_24382,c_96]) ).
tff(c_24437,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_24436]) ).
tff(c_24442,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24437,c_168]) ).
tff(c_24410,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24382,c_19730,c_34]) ).
tff(c_24411,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_24410]) ).
tff(c_24412,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_24411]) ).
tff(c_24417,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24412,c_122]) ).
tff(c_24447,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_24442,c_22675,c_24417,c_20]) ).
tff(c_24482,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22669,c_24447,c_24412,c_80]) ).
tff(c_24483,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_24482]) ).
tff(c_24587,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_765,c_24400,c_19717,c_22669,c_24483,c_24483,c_24400,c_706]) ).
tff(c_24588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_198,c_204,c_24587]) ).
tff(c_24589,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_24411]) ).
tff(c_24641,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_24164,c_24589,c_64]) ).
tff(c_24642,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_24641]) ).
tff(c_24646,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24642,c_166]) ).
tff(c_24683,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_24400,c_24382,c_96]) ).
tff(c_24684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_24646,c_202,c_24683]) ).
tff(c_24685,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_24399]) ).
tff(c_24691,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_24685,c_168]) ).
tff(c_24704,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24699,c_122]) ).
tff(c_24720,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_24691,c_22675,c_24704,c_20]) ).
tff(c_24726,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24720,c_126]) ).
tff(c_24757,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24164,c_78]) ).
tff(c_24758,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_24726,c_202,c_766,c_24757]) ).
tff(c_24869,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_765,c_765,c_24711,c_19730,c_24699,c_22669,c_24758,c_594]) ).
tff(c_24870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_196,c_198,c_24869]) ).
tff(c_24871,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_24698]) ).
tff(c_25072,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24382,c_24871,c_19730,c_46]) ).
tff(c_25073,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_25072]) ).
tff(c_24686,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_24399]) ).
tff(c_25019,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_24686,c_24171,c_22662,c_30]) ).
tff(c_25156,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22656,c_765,c_19730,c_24871,c_765,c_25073,c_22669,c_25019,c_594]) ).
tff(c_25157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_200,c_198,c_25156]) ).
tff(c_25158,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_19729]) ).
tff(c_25160,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_25158]) ).
tff(c_25164,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25160,c_146]) ).
tff(c_26224,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_26078,c_19721,c_25164,c_10]) ).
tff(c_26046,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_32]) ).
tff(c_26047,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_26046]) ).
tff(c_26050,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26047,c_140]) ).
tff(c_25165,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25160,c_152]) ).
tff(c_25183,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_25165,c_26]) ).
tff(c_25184,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_25183]) ).
tff(c_25189,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25184,c_154]) ).
tff(c_25207,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_25176,c_19722,c_14]) ).
tff(c_25208,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_25207]) ).
tff(c_25211,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25208,c_112]) ).
tff(c_25366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25189,c_19721,c_25211,c_25164,c_10]) ).
tff(c_25367,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_25207]) ).
tff(c_25178,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25172,c_180]) ).
tff(c_25186,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25184,c_134]) ).
tff(c_25379,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_25186,c_28]) ).
tff(c_25380,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_25379]) ).
tff(c_25382,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25380,c_138]) ).
tff(c_25374,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25367,c_178]) ).
tff(c_25390,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_25178,c_25382,c_25374,c_30]) ).
tff(c_25394,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25390,c_144]) ).
tff(c_25496,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25390,c_25172,c_25367,c_74]) ).
tff(c_25497,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_25496]) ).
tff(c_25385,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25380,c_164]) ).
tff(c_25167,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25160,c_98]) ).
tff(c_25445,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_25385,c_25167,c_4]) ).
tff(c_25384,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25380,c_168]) ).
tff(c_25400,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_24]) ).
tff(c_25401,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_25400]) ).
tff(c_25411,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25401,c_25172,c_76]) ).
tff(c_25412,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_25384,c_25411]) ).
tff(c_25434,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25184,c_25412,c_25160,c_38]) ).
tff(c_25435,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_25434]) ).
tff(c_25477,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25401,c_25172,c_25412,c_68]) ).
tff(c_25478,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_25477]) ).
tff(c_25565,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25172,c_25497,c_25445,c_25435,c_25380,c_25401,c_25478,c_25390,c_490]) ).
tff(c_25566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_204,c_196,c_25565]) ).
tff(c_25567,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_25400]) ).
tff(c_25573,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25567,c_192]) ).
tff(c_25591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_25394,c_25573,c_32]) ).
tff(c_25592,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_25379]) ).
tff(c_25594,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_25592]) ).
tff(c_25598,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25594,c_142]) ).
tff(c_25755,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_25598,c_32]) ).
tff(c_25669,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25184,c_25160,c_38]) ).
tff(c_25670,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_25669]) ).
tff(c_25671,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_25670]) ).
tff(c_25674,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25671,c_150]) ).
tff(c_25722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25189,c_19721,c_25674,c_25164,c_10]) ).
tff(c_25724,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_25670]) ).
tff(c_25605,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_24]) ).
tff(c_25606,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_25605]) ).
tff(c_25611,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25606,c_192]) ).
tff(c_25656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_25611,c_25598,c_32]) ).
tff(c_25657,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_25605]) ).
tff(c_25745,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25657,c_25172,c_72]) ).
tff(c_25746,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_25724,c_25745]) ).
tff(c_25750,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25746,c_160]) ).
tff(c_25763,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_25750,c_25167,c_4]) ).
tff(c_25856,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25755,c_25594,c_25755,c_25763,c_25755,c_25594,c_25755,c_750]) ).
tff(c_25857,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_25592]) ).
tff(c_25864,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25857,c_164]) ).
tff(c_25922,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_25864,c_25167,c_4]) ).
tff(c_25195,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_64]) ).
tff(c_25196,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_25176,c_25189,c_25195]) ).
tff(c_25862,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25857,c_142]) ).
tff(c_25891,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_25862,c_32]) ).
tff(c_25895,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25891,c_192]) ).
tff(c_25911,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_25895,c_24]) ).
tff(c_384,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_26042,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25367,c_25922,c_19717,c_25196,c_25911,c_25172,c_25196,c_25857,c_384]) ).
tff(c_26043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_198,c_202,c_26042]) ).
tff(c_26044,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_25183]) ).
tff(c_26058,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_26050,c_26044]) ).
tff(c_26065,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26058,c_156]) ).
tff(c_26053,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26047,c_192]) ).
tff(c_26083,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_26053,c_24]) ).
tff(c_26167,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26083,c_25172,c_72]) ).
tff(c_26168,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_26167]) ).
tff(c_26169,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_26168]) ).
tff(c_26211,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26083,c_25172,c_26169,c_76]) ).
tff(c_26212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_26065,c_26211]) ).
tff(c_26213,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_26168]) ).
tff(c_26218,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26213,c_150]) ).
tff(c_26233,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26224,c_26218]) ).
tff(c_26235,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_26071]) ).
tff(c_26275,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_25160,c_40]) ).
tff(c_26276,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_26275]) ).
tff(c_26277,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_26276]) ).
tff(c_26280,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26277,c_170]) ).
tff(c_26063,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26058,c_136]) ).
tff(c_26052,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26047,c_144]) ).
tff(c_26255,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_25178,c_26063,c_26052,c_30]) ).
tff(c_26261,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26255,c_178]) ).
tff(c_26294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25176,c_19722,c_26280,c_26261,c_14]) ).
tff(c_26295,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_26276]) ).
tff(c_26299,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26295,c_158]) ).
tff(c_26386,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_26235,c_19720,c_26299,c_12]) ).
tff(c_26234,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_26071]) ).
tff(c_756,plain,
( ( op(op(e2,op(e2,e2)),op(e2,e2)) != e1 )
| ( op(e2,op(e2,e2)) != e0 )
| ( op(e2,e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_718]) ).
tff(c_26445,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26386,c_26234,c_26386,c_26058,c_26386,c_26234,c_26386,c_756]) ).
tff(c_26446,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_26046]) ).
tff(c_26453,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26446,c_192]) ).
tff(c_25174,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25172,c_124]) ).
tff(c_25163,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25160,c_148]) ).
tff(c_26762,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_25174,c_25163,c_18]) ).
tff(c_26763,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_26762]) ).
tff(c_26459,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_26044]) ).
tff(c_26462,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26459,c_134]) ).
tff(c_26451,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26446,c_142]) ).
tff(c_26480,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_26462,c_26451,c_28]) ).
tff(c_26481,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_26480]) ).
tff(c_26604,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26446,c_26481,c_26459,c_92]) ).
tff(c_26605,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_26604]) ).
tff(c_26463,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26459,c_136]) ).
tff(c_26452,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26446,c_144]) ).
tff(c_25166,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25160,c_100]) ).
tff(c_26545,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25172,c_66]) ).
tff(c_26546,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_26452,c_200,c_25166,c_26545]) ).
tff(c_26566,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25172,c_26546,c_70]) ).
tff(c_26567,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_26463,c_202,c_194,c_26566]) ).
tff(c_26470,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_26453,c_24]) ).
tff(c_26494,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26470,c_25172,c_76]) ).
tff(c_26495,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_26494]) ).
tff(c_26496,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_26495]) ).
tff(c_26499,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26496,c_122]) ).
tff(c_26465,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26459,c_156]) ).
tff(c_26508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25174,c_26499,c_26465,c_25163,c_18]) ).
tff(c_26509,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_26495]) ).
tff(c_26685,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26446,c_765,c_26605,c_19717,c_26567,c_26509,c_26459,c_26446,c_692]) ).
tff(c_26686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_194,c_202,c_26685]) ).
tff(c_26687,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_26480]) ).
tff(c_26747,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26446,c_26687,c_26459,c_96]) ).
tff(c_26748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_25178,c_204,c_202,c_26747]) ).
tff(c_26749,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_26044]) ).
tff(c_26756,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26749,c_156]) ).
tff(c_26774,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26763,c_26756]) ).
tff(c_26775,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_26762]) ).
tff(c_26815,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25172,c_26775,c_76]) ).
tff(c_26816,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_19723,c_204,c_198,c_26815]) ).
tff(c_26874,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25172,c_26816,c_26775,c_68]) ).
tff(c_26875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26453,c_200,c_196,c_194,c_26874]) ).
tff(c_26876,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_26889,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_26881,c_26876]) ).
tff(c_26890,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_26889]) ).
tff(c_26942,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_25167,c_4]) ).
tff(c_26943,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_26942]) ).
tff(c_26947,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26943,c_160]) ).
tff(c_26902,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_64]) ).
tff(c_26903,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_26902]) ).
tff(c_26904,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_26903]) ).
tff(c_26909,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26904,c_178]) ).
tff(c_26928,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_26909,c_96]) ).
tff(c_26929,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_26928]) ).
tff(c_26934,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26929,c_168]) ).
tff(c_26964,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26878,c_26890,c_80]) ).
tff(c_26965,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_26934,c_26964]) ).
tff(c_27004,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26878,c_26890,c_26965,c_76]) ).
tff(c_27005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_26947,c_204,c_27004]) ).
tff(c_27006,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_26942]) ).
tff(c_27013,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27006,c_102]) ).
tff(c_27039,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_27013,c_25166,c_6]) ).
tff(c_27043,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27039,c_176]) ).
tff(c_26897,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26890,c_180]) ).
tff(c_27050,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_26909,c_27043,c_26897,c_30]) ).
tff(c_27018,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26878,c_26890,c_80]) ).
tff(c_27019,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_26934,c_27018]) ).
tff(c_27079,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26878,c_26890,c_27019,c_76]) ).
tff(c_27080,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_27079]) ).
tff(c_26930,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26929,c_134]) ).
tff(c_26907,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26904,c_112]) ).
tff(c_26915,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_26907,c_19721,c_25164,c_10]) ).
tff(c_26920,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26915,c_154]) ).
tff(c_27059,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_26930,c_26920,c_25165,c_26]) ).
tff(c_27028,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26929,c_84]) ).
tff(c_27029,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_26897,c_200,c_25165,c_27028]) ).
tff(c_27183,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26890,c_27039,c_27050,c_19717,c_26904,c_27080,c_27059,c_27029,c_572]) ).
tff(c_27184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_202,c_204,c_27183]) ).
tff(c_27186,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_26928]) ).
tff(c_27440,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_26909,c_26897,c_30]) ).
tff(c_27441,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_27440]) ).
tff(c_27444,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27441,c_138]) ).
tff(c_27207,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_25167,c_4]) ).
tff(c_27208,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_27207]) ).
tff(c_27380,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27208,c_164]) ).
tff(c_27209,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_26909,c_26897,c_30]) ).
tff(c_27210,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_27209]) ).
tff(c_27216,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27208,c_102]) ).
tff(c_27282,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_27216,c_25166,c_6]) ).
tff(c_27214,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27208,c_160]) ).
tff(c_27260,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26878,c_26890,c_76]) ).
tff(c_27261,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_27214,c_27260]) ).
tff(c_27185,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_26928]) ).
tff(c_27372,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26904,c_27208,c_27210,c_19717,c_27282,c_27261,c_765,c_27185,c_430]) ).
tff(c_27373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_194,c_200,c_27372]) ).
tff(c_27374,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_27209]) ).
tff(c_27412,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27197,c_27374,c_27185,c_92]) ).
tff(c_27413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_27380,c_204,c_27412]) ).
tff(c_27414,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_27207]) ).
tff(c_27420,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27414,c_164]) ).
tff(c_27201,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27197,c_142]) ).
tff(c_27460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27186,c_27444,c_27420,c_27201,c_28]) ).
tff(c_27461,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_27440]) ).
tff(c_27472,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_27186,c_27420,c_27201,c_28]) ).
tff(c_27192,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27185,c_156]) ).
tff(c_27429,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26878,c_26890,c_80]) ).
tff(c_27430,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_27192,c_27429]) ).
tff(c_714,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_27602,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27197,c_765,c_27461,c_19717,c_27472,c_26878,c_27430,c_27461,c_714]) ).
tff(c_27603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_204,c_27602]) ).
tff(c_27605,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_26903]) ).
tff(c_27920,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_25167,c_4]) ).
tff(c_27921,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_27920]) ).
tff(c_27926,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27921,c_102]) ).
tff(c_26895,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26890,c_174]) ).
tff(c_27999,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_27605,c_19722,c_26895,c_14]) ).
tff(c_28003,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27999,c_170]) ).
tff(c_28009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_27926,c_28003,c_25166,c_6]) ).
tff(c_28010,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_27920]) ).
tff(c_28016,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28010,c_102]) ).
tff(c_27604,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_26903]) ).
tff(c_27606,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_27604]) ).
tff(c_27611,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27606,c_150]) ).
tff(c_28022,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_25166,c_6]) ).
tff(c_28023,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_28022]) ).
tff(c_28027,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28023,c_176]) ).
tff(c_27612,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27606,c_154]) ).
tff(c_27620,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_27612,c_96]) ).
tff(c_27621,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_27620]) ).
tff(c_27624,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27621,c_138]) ).
tff(c_26882,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26878,c_128]) ).
tff(c_27632,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27606,c_25160,c_38]) ).
tff(c_27633,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_26882,c_202,c_194,c_27632]) ).
tff(c_27636,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27633,c_134]) ).
tff(c_27645,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_27624,c_27636,c_28]) ).
tff(c_27646,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_27645]) ).
tff(c_27652,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27646,c_164]) ).
tff(c_27712,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_25160,c_44]) ).
tff(c_27713,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_27652,c_196,c_27712]) ).
tff(c_27746,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27633,c_27606,c_25160,c_42]) ).
tff(c_27747,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_27746]) ).
tff(c_466,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_27867,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26890,c_27713,c_765,c_27606,c_27713,c_27747,c_26878,c_27621,c_466]) ).
tff(c_27868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_196,c_198,c_27867]) ).
tff(c_27869,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_27645]) ).
tff(c_27904,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27621,c_27869,c_27633,c_92]) ).
tff(c_27905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19724,c_204,c_196,c_198,c_27904]) ).
tff(c_27906,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_27620]) ).
tff(c_28033,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27906,c_92]) ).
tff(c_28034,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_19724,c_28027,c_204,c_28033]) ).
tff(c_28039,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28034,c_156]) ).
tff(c_28046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27611,c_28039,c_26882,c_25163,c_18]) ).
tff(c_28047,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_28022]) ).
tff(c_28049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28016,c_28047]) ).
tff(c_28051,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_27604]) ).
tff(c_28052,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25160,c_38]) ).
tff(c_28053,plain,
( ( op(e2,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_26882,c_194,c_28052]) ).
tff(c_28054,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_28053]) ).
tff(c_28059,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28054,c_154]) ).
tff(c_28086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28051,c_19721,c_28059,c_25164,c_10]) ).
tff(c_28087,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_28053]) ).
tff(c_28103,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28087,c_112]) ).
tff(c_28226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27605,c_19722,c_28103,c_26895,c_14]) ).
tff(c_28227,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_26889]) ).
tff(c_28328,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28227,c_172]) ).
tff(c_28788,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_26884,c_32]) ).
tff(c_28697,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_25167,c_4]) ).
tff(c_28698,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_28697]) ).
tff(c_28329,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28227,c_180]) ).
tff(c_28543,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_26884,c_32]) ).
tff(c_28229,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_25165,c_26]) ).
tff(c_28230,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_28229]) ).
tff(c_28236,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28230,c_156]) ).
tff(c_28243,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28227,c_124]) ).
tff(c_28320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28236,c_28243,c_26882,c_25163,c_18]) ).
tff(c_28321,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_28229]) ).
tff(c_28335,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_28321]) ).
tff(c_28359,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28335,c_96]) ).
tff(c_28360,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_202,c_28359]) ).
tff(c_28361,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_28360]) ).
tff(c_28364,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28361,c_138]) ).
tff(c_28347,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_25167,c_4]) ).
tff(c_28348,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_28347]) ).
tff(c_28353,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28348,c_164]) ).
tff(c_28338,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28335,c_134]) ).
tff(c_28398,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_26884,c_32]) ).
tff(c_28402,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28398,c_142]) ).
tff(c_28435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28364,c_28353,c_28338,c_28402,c_28]) ).
tff(c_28436,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_28360]) ).
tff(c_28563,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28543,c_28436,c_28335,c_92]) ).
tff(c_28564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_28329,c_204,c_198,c_28563]) ).
tff(c_28565,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_28347]) ).
tff(c_28677,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28565,c_102]) ).
tff(c_28683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_28328,c_28677,c_25166,c_6]) ).
tff(c_28684,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_28321]) ).
tff(c_28325,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28227,c_124]) ).
tff(c_28753,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_28325,c_26882,c_25163,c_18]) ).
tff(c_28763,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28684,c_28753,c_25160,c_38]) ).
tff(c_28764,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_28763]) ).
tff(c_28712,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28684,c_96]) ).
tff(c_28713,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_28712]) ).
tff(c_28714,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_28713]) ).
tff(c_28716,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28714,c_138]) ).
tff(c_28703,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28698,c_164]) ).
tff(c_28792,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28788,c_142]) ).
tff(c_28827,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_28716,c_28703,c_28792,c_28]) ).
tff(c_620,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_28907,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28788,c_765,c_28698,c_28764,c_28827,c_26878,c_28684,c_28788,c_620]) ).
tff(c_28908,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_202,c_204,c_28907]) ).
tff(c_28909,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_28713]) ).
tff(c_28914,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28909,c_166]) ).
tff(c_28924,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_28328,c_25166,c_6]) ).
tff(c_28948,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28227,c_28924,c_66]) ).
tff(c_28949,plain,
( ( op(e2,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_28948]) ).
tff(c_28950,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_28949]) ).
tff(c_28954,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28950,c_144]) ).
tff(c_28960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_26884,c_28954,c_32]) ).
tff(c_28961,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_28949]) ).
tff(c_28967,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28961,c_114]) ).
tff(c_28989,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_28914,c_19720,c_28967,c_12]) ).
tff(c_28994,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28989,c_110]) ).
tff(c_28936,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_28325,c_26882,c_25163,c_18]) ).
tff(c_28999,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28684,c_28936,c_25160,c_38]) ).
tff(c_29000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_28994,c_194,c_28999]) ).
tff(c_29001,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_28697]) ).
tff(c_29009,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29001,c_102]) ).
tff(c_29058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_28328,c_29009,c_25166,c_6]) ).
tff(c_29060,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_29072,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_64]) ).
tff(c_29073,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_29072]) ).
tff(c_29074,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_29073]) ).
tff(c_29077,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29074,c_112]) ).
tff(c_29059,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_29061,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_29059]) ).
tff(c_29064,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29061,c_150]) ).
tff(c_29169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29077,c_19721,c_29064,c_25164,c_10]) ).
tff(c_29170,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_29073]) ).
tff(c_29270,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_29170]) ).
tff(c_29275,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29270,c_110]) ).
tff(c_29259,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_32]) ).
tff(c_29260,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_29259]) ).
tff(c_29067,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29061,c_156]) ).
tff(c_29172,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_29067,c_25165,c_26]) ).
tff(c_29173,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_29172]) ).
tff(c_29179,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29173,c_154]) ).
tff(c_29245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29179,c_19721,c_29064,c_25164,c_10]) ).
tff(c_29246,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_29172]) ).
tff(c_29251,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29246,c_134]) ).
tff(c_29263,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29260,c_142]) ).
tff(c_29338,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_29251,c_29263,c_28]) ).
tff(c_29339,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_29338]) ).
tff(c_29369,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29339,c_168]) ).
tff(c_29380,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_24]) ).
tff(c_29065,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29061,c_124]) ).
tff(c_29280,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_29065,c_26876]) ).
tff(c_29281,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_29280]) ).
tff(c_29286,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29281,c_132]) ).
tff(c_29323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_29286,c_24]) ).
tff(c_29324,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_29280]) ).
tff(c_29441,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29380,c_29324,c_29061,c_80]) ).
tff(c_29442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_29369,c_202,c_29441]) ).
tff(c_29443,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_29338]) ).
tff(c_29456,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_25167,c_4]) ).
tff(c_29457,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_29456]) ).
tff(c_29594,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29260,c_29443,c_29260,c_29457,c_29443,c_29260,c_29260,c_750]) ).
tff(c_29595,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_29456]) ).
tff(c_29610,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29595,c_158]) ).
tff(c_29449,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29443,c_166]) ).
tff(c_29670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29275,c_19720,c_29610,c_29449,c_12]) ).
tff(c_29672,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_29170]) ).
tff(c_29760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29672,c_19721,c_29064,c_25164,c_10]) ).
tff(c_29761,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_29259]) ).
tff(c_29767,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29761,c_192]) ).
tff(c_29800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_29767,c_24]) ).
tff(c_29801,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_29059]) ).
tff(c_29803,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_29801]) ).
tff(c_29812,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29803,c_172]) ).
tff(c_30386,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_29812,c_25166,c_6]) ).
tff(c_29804,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_64]) ).
tff(c_29805,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_29804]) ).
tff(c_29806,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_29805]) ).
tff(c_29821,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29806,c_178]) ).
tff(c_29813,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29803,c_180]) ).
tff(c_29828,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29821,c_29813,c_30]) ).
tff(c_29829,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_29828]) ).
tff(c_29835,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29829,c_176]) ).
tff(c_30068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_29835,c_29812,c_25166,c_6]) ).
tff(c_30069,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_29828]) ).
tff(c_30095,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30069,c_96]) ).
tff(c_30096,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_200,c_30095]) ).
tff(c_30097,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_30096]) ).
tff(c_30108,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_24]) ).
tff(c_30102,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30097,c_168]) ).
tff(c_30171,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30108,c_29803,c_80]) ).
tff(c_30172,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_30102,c_30171]) ).
tff(c_30183,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30108,c_29803,c_30172,c_76]) ).
tff(c_30184,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_30183]) ).
tff(c_29810,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29803,c_126]) ).
tff(c_29819,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29806,c_112]) ).
tff(c_30084,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_29819,c_19721,c_25164,c_10]) ).
tff(c_30090,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30084,c_110]) ).
tff(c_30158,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30097,c_54]) ).
tff(c_30159,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_29810,c_30090,c_30158]) ).
tff(c_30201,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30097,c_30184,c_30159,c_50]) ).
tff(c_30202,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_30201]) ).
tff(c_30099,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30097,c_134]) ).
tff(c_30089,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30084,c_154]) ).
tff(c_30141,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_30099,c_30089,c_25165,c_26]) ).
tff(c_30282,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30202,c_30159,c_30069,c_19717,c_30141,c_30108,c_30172,c_30069,c_458]) ).
tff(c_30283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_204,c_204,c_30282]) ).
tff(c_30285,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_30096]) ).
tff(c_30076,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30069,c_144]) ).
tff(c_30295,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_30076,c_32]) ).
tff(c_30299,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30295,c_142]) ).
tff(c_30075,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30069,c_138]) ).
tff(c_30360,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_30285,c_30299,c_30075,c_28]) ).
tff(c_30365,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30360,c_168]) ).
tff(c_30337,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_24]) ).
tff(c_30372,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30337,c_29803,c_76]) ).
tff(c_30373,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_30365,c_30372]) ).
tff(c_564,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_30496,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29803,c_30386,c_30069,c_19717,c_30386,c_30373,c_30360,c_30295,c_564]) ).
tff(c_30497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_196,c_204,c_30496]) ).
tff(c_30499,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_29805]) ).
tff(c_29802,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_29059]) ).
tff(c_30498,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_29805]) ).
tff(c_30523,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_30498]) ).
tff(c_30757,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30523,c_25160,c_38]) ).
tff(c_30758,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_29802,c_202,c_194,c_30757]) ).
tff(c_30762,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30758,c_134]) ).
tff(c_30506,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29803,c_180]) ).
tff(c_30511,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_30506,c_30]) ).
tff(c_30512,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_30511]) ).
tff(c_30515,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30512,c_138]) ).
tff(c_30552,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_30515,c_28]) ).
tff(c_30553,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_30552]) ).
tff(c_30559,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30553,c_164]) ).
tff(c_30564,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_25167,c_4]) ).
tff(c_30565,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_30564]) ).
tff(c_30566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30559,c_30565]) ).
tff(c_30567,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_30564]) ).
tff(c_30572,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30567,c_158]) ).
tff(c_30518,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30512,c_178]) ).
tff(c_30504,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29803,c_174]) ).
tff(c_30534,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_30518,c_19722,c_30504,c_14]) ).
tff(c_56,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_30628,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_30534,c_30523,c_56]) ).
tff(c_30629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_30572,c_202,c_30628]) ).
tff(c_30630,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_30552]) ).
tff(c_30641,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_30630]) ).
tff(c_30526,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30523,c_150]) ).
tff(c_30514,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30512,c_136]) ).
tff(c_30653,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_30514,c_25165,c_26]) ).
tff(c_30654,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_30653]) ).
tff(c_30658,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30654,c_156]) ).
tff(c_30665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30526,c_30658,c_29802,c_25163,c_18]) ).
tff(c_30666,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_30653]) ).
tff(c_30725,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30512,c_30641,c_30666,c_92]) ).
tff(c_30726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19724,c_204,c_196,c_198,c_30725]) ).
tff(c_30727,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_30630]) ).
tff(c_30770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30762,c_30727]) ).
tff(c_30771,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_30498]) ).
tff(c_30785,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_24]) ).
tff(c_30960,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30771,c_19717,c_30771,c_30785,c_30771,c_19717,c_30771,c_718]) ).
tff(c_30961,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_30511]) ).
tff(c_30974,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_30961]) ).
tff(c_31052,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30974,c_29803,c_78]) ).
tff(c_31053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_30499,c_766,c_31052]) ).
tff(c_31054,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_30961]) ).
tff(c_31061,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31054,c_176]) ).
tff(c_30505,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29803,c_172]) ).
tff(c_31120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_31061,c_30505,c_25166,c_6]) ).
tff(c_31121,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_29801]) ).
tff(c_31224,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_64]) ).
tff(c_31225,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_31224]) ).
tff(c_31226,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_31225]) ).
tff(c_31231,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31226,c_178]) ).
tff(c_31229,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31226,c_112]) ).
tff(c_31133,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_25165,c_26]) ).
tff(c_31134,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_31133]) ).
tff(c_31140,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31134,c_156]) ).
tff(c_31122,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_29801]) ).
tff(c_31145,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_31122,c_26876]) ).
tff(c_31146,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_31145]) ).
tff(c_31149,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31146,c_132]) ).
tff(c_31182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_31149,c_24]) ).
tff(c_31183,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_31145]) ).
tff(c_31188,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31183,c_124]) ).
tff(c_31221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31140,c_31188,c_29802,c_25163,c_18]) ).
tff(c_31222,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_31133]) ).
tff(c_31237,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_31222]) ).
tff(c_31243,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31237,c_154]) ).
tff(c_31347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31229,c_19721,c_31243,c_25164,c_10]) ).
tff(c_31348,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_31222]) ).
tff(c_31354,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31348,c_136]) ).
tff(c_31362,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_32]) ).
tff(c_31363,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_31362]) ).
tff(c_31367,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31363,c_144]) ).
tff(c_31373,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_31122,c_26876]) ).
tff(c_31374,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_31373]) ).
tff(c_31380,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31374,c_180]) ).
tff(c_31385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31231,c_31354,c_31367,c_31380,c_30]) ).
tff(c_31386,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_31373]) ).
tff(c_31392,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31386,c_172]) ).
tff(c_31421,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_31392,c_25166,c_6]) ).
tff(c_31401,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_31231,c_31354,c_31367,c_30]) ).
tff(c_31357,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31348,c_156]) ).
tff(c_31430,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_31357,c_29802,c_25163,c_18]) ).
tff(c_562,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_31576,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31121,c_31421,c_31401,c_19717,c_765,c_31430,c_31430,c_31401,c_562]) ).
tff(c_31577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_200,c_204,c_31576]) ).
tff(c_31578,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_31362]) ).
tff(c_31584,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31578,c_192]) ).
tff(c_31649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_31584,c_24]) ).
tff(c_31650,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_31225]) ).
tff(c_31779,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_31650]) ).
tff(c_31782,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31779,c_150]) ).
tff(c_31791,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_31122,c_26876]) ).
tff(c_31792,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_31791]) ).
tff(c_31795,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31792,c_132]) ).
tff(c_31827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_31795,c_24]) ).
tff(c_31828,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_31791]) ).
tff(c_31867,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31828,c_31121,c_80]) ).
tff(c_31868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_202,c_31782,c_31867]) ).
tff(c_31869,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_31650]) ).
tff(c_31874,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31869,c_166]) ).
tff(c_31652,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_31222]) ).
tff(c_31657,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31652,c_140]) ).
tff(c_31750,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_31657,c_32]) ).
tff(c_31755,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31750,c_192]) ).
tff(c_31764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_29060,c_31755,c_24]) ).
tff(c_31765,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_31222]) ).
tff(c_31769,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31765,c_134]) ).
tff(c_31128,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31121,c_168]) ).
tff(c_31972,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_32]) ).
tff(c_31973,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_31972]) ).
tff(c_32037,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_31874,c_31769,c_31128,c_28]) ).
tff(c_31125,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31121,c_160]) ).
tff(c_31939,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_31125,c_25167,c_4]) ).
tff(c_32103,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31973,c_32037,c_31973,c_31939,c_32037,c_31973,c_31973,c_750]) ).
tff(c_32104,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_31972]) ).
tff(c_32110,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32104,c_142]) ).
tff(c_32164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31874,c_31769,c_31128,c_32110,c_28]) ).
tff(c_32165,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_25158]) ).
tff(c_32173,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32165,c_98]) ).
tff(c_33514,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_4]) ).
tff(c_33515,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_33514]) ).
tff(c_32179,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_80]) ).
tff(c_32180,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_32179]) ).
tff(c_32184,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32180,c_174]) ).
tff(c_32183,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32180,c_126]) ).
tff(c_32170,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32165,c_146]) ).
tff(c_33132,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19721,c_32170,c_10]) ).
tff(c_33133,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_33132]) ).
tff(c_33137,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33133,c_154]) ).
tff(c_33139,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33133,c_110]) ).
tff(c_33144,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_33139,c_19720,c_12]) ).
tff(c_33145,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_33144]) ).
tff(c_33150,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33145,c_166]) ).
tff(c_32186,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32180,c_180]) ).
tff(c_32171,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32165,c_152]) ).
tff(c_32182,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32180,c_124]) ).
tff(c_32191,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_32]) ).
tff(c_32192,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_32191]) ).
tff(c_32227,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19721,c_32170,c_10]) ).
tff(c_32228,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_32227]) ).
tff(c_32232,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32228,c_154]) ).
tff(c_32374,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32192,c_96]) ).
tff(c_32375,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_32186,c_32232,c_32374]) ).
tff(c_32406,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32192,c_32375,c_92]) ).
tff(c_32407,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_32406]) ).
tff(c_32408,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_32407]) ).
tff(c_32428,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32192,c_32408,c_32375,c_84]) ).
tff(c_32429,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_32428]) ).
tff(c_32193,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_24]) ).
tff(c_32194,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_32193]) ).
tff(c_32200,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32192,c_192]) ).
tff(c_32214,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32194,c_32200]) ).
tff(c_32215,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_32193]) ).
tff(c_614,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_32575,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32192,c_765,c_765,c_32228,c_32429,c_32215,c_32165,c_32429,c_614]) ).
tff(c_32576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_200,c_194,c_32575]) ).
tff(c_32577,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_32407]) ).
tff(c_32582,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_32577,c_156]) ).
tff(c_32169,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32165,c_148]) ).
tff(c_32242,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32215,c_128]) ).
tff(c_32627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32182,c_32582,c_32169,c_32242,c_18]) ).
tff(c_32628,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_32227]) ).
tff(c_32644,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32628,c_112]) ).
tff(c_32883,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_32184,c_19722,c_32644,c_14]) ).
tff(c_33007,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_32883,c_32628,c_64]) ).
tff(c_33008,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_33007]) ).
tff(c_33118,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33008,c_19717,c_33008,c_32215,c_33008,c_19717,c_33008,c_718]) ).
tff(c_33119,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_32191]) ).
tff(c_33123,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33119,c_140]) ).
tff(c_33178,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_33137,c_32171,c_33123,c_26]) ).
tff(c_33182,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33178,c_136]) ).
tff(c_33125,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33119,c_144]) ).
tff(c_33188,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_32186,c_33182,c_33125,c_30]) ).
tff(c_33151,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33145,c_114]) ).
tff(c_33168,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_32184,c_19722,c_33151,c_14]) ).
tff(c_33245,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33188,c_32180,c_33168,c_74]) ).
tff(c_33246,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_33245]) ).
tff(c_33235,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33119,c_19717,c_765,c_86]) ).
tff(c_33236,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_33235]) ).
tff(c_33124,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33119,c_142]) ).
tff(c_33156,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_33124,c_28]) ).
tff(c_33157,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_33156]) ).
tff(c_480,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_33364,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32180,c_33246,c_765,c_33133,c_33236,c_32180,c_19717,c_33157,c_480]) ).
tff(c_33365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_198,c_198,c_33364]) ).
tff(c_33366,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_33156]) ).
tff(c_33368,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_33150,c_33366]) ).
tff(c_33372,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33368,c_134]) ).
tff(c_33421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33137,c_33372,c_32171,c_33123,c_26]) ).
tff(c_33422,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_33144]) ).
tff(c_33426,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33422,c_158]) ).
tff(c_33435,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_33426,c_4]) ).
tff(c_33439,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33435,c_160]) ).
tff(c_33427,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33422,c_162]) ).
tff(c_33467,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_32183,c_33439,c_33427,c_20]) ).
tff(c_33471,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33467,c_130]) ).
tff(c_33487,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33119,c_19717,c_765,c_86]) ).
tff(c_33488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_33471,c_198,c_202,c_33487]) ).
tff(c_33489,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_33132]) ).
tff(c_33502,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_33489,c_64]) ).
tff(c_33503,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_32184,c_200,c_33502]) ).
tff(c_33493,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33489,c_150]) ).
tff(c_33126,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33119,c_192]) ).
tff(c_33564,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_33126,c_24]) ).
tff(c_33604,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33564,c_32180,c_68]) ).
tff(c_33605,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_33493,c_33604]) ).
tff(c_33507,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33503,c_166]) ).
tff(c_33519,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33515,c_164]) ).
tff(c_33529,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_33507,c_33519,c_33124,c_28]) ).
tff(c_248,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_33706,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33515,c_32165,c_19717,c_33503,c_33489,c_33605,c_33503,c_33529,c_248]) ).
tff(c_33707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_194,c_202,c_33706]) ).
tff(c_33708,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_33514]) ).
tff(c_33712,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33708,c_160]) ).
tff(c_33733,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_33126,c_24]) ).
tff(c_33789,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_32182,c_32169,c_33493,c_18]) ).
tff(c_33813,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33733,c_32180,c_33789,c_68]) ).
tff(c_33814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_33712,c_196,c_33813]) ).
tff(c_33816,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_32179]) ).
tff(c_33817,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_19723,c_24]) ).
tff(c_33818,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_33817]) ).
tff(c_33824,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33818,c_192]) ).
tff(c_33815,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_32179]) ).
tff(c_33829,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_33815]) ).
tff(c_33834,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33829,c_156]) ).
tff(c_33833,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33829,c_122]) ).
tff(c_33821,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33818,c_132]) ).
tff(c_33853,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_33824,c_32]) ).
tff(c_33831,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33829,c_150]) ).
tff(c_33897,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_33831,c_19721,c_32170,c_10]) ).
tff(c_32172,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32165,c_100]) ).
tff(c_33839,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_32172,c_6]) ).
tff(c_33840,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_33839]) ).
tff(c_33843,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33840,c_172]) ).
tff(c_33961,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_33816,c_33843,c_33821,c_22]) ).
tff(c_33857,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33853,c_140]) ).
tff(c_33864,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_33834,c_32171,c_33857,c_26]) ).
tff(c_606,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_34072,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33853,c_765,c_32165,c_33897,c_33829,c_33961,c_33840,c_33864,c_606]) ).
tff(c_34073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_204,c_196,c_34072]) ).
tff(c_34074,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_33839]) ).
tff(c_34078,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34074,c_172]) ).
tff(c_34539,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_33816,c_33821,c_34078,c_22]) ).
tff(c_34543,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34539,c_126]) ).
tff(c_33823,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33818,c_130]) ).
tff(c_34081,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34074,c_102]) ).
tff(c_34287,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_34081,c_4]) ).
tff(c_34220,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19720,c_12]) ).
tff(c_34221,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_34220]) ).
tff(c_34267,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_33831,c_19721,c_32170,c_10]) ).
tff(c_34291,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34287,c_160]) ).
tff(c_34318,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_33833,c_34291,c_33823,c_20]) ).
tff(c_34277,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_33824,c_32]) ).
tff(c_34250,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34221,c_166]) ).
tff(c_34151,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_33824,c_32]) ).
tff(c_34155,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34151,c_140]) ).
tff(c_34101,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19720,c_12]) ).
tff(c_34102,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_34101]) ).
tff(c_34106,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34102,c_166]) ).
tff(c_34087,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19724,c_92]) ).
tff(c_34088,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_34087]) ).
tff(c_34135,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34088,c_96]) ).
tff(c_34136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_34106,c_33834,c_34135]) ).
tff(c_34137,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_34101]) ).
tff(c_34139,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_34137]) ).
tff(c_34146,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34139,c_110]) ).
tff(c_34163,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33829,c_32165,c_34]) ).
tff(c_34164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34155,c_200,c_34146,c_194,c_34163]) ).
tff(c_34165,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_34137]) ).
tff(c_34172,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34165,c_166]) ).
tff(c_34179,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_33824,c_32]) ).
tff(c_34203,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34179,c_34088,c_88]) ).
tff(c_34204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_34172,c_32171,c_34203]) ).
tff(c_34205,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_34087]) ).
tff(c_34207,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_34205]) ).
tff(c_34307,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34277,c_34207,c_96]) ).
tff(c_34308,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_34250,c_204,c_34307]) ).
tff(c_34332,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34277,c_34308,c_34207,c_88]) ).
tff(c_34333,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_34332]) ).
tff(c_34435,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34287,c_32165,c_19717,c_34221,c_34267,c_34318,c_34221,c_34333,c_248]) ).
tff(c_34436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_194,c_202,c_34435]) ).
tff(c_34437,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_34220]) ).
tff(c_34441,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_34437]) ).
tff(c_34445,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34441,c_162]) ).
tff(c_34579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33833,c_34543,c_33823,c_34445,c_20]) ).
tff(c_34580,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_34437]) ).
tff(c_34590,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34580,c_114]) ).
tff(c_34079,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34074,c_170]) ).
tff(c_34632,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_19722,c_34590,c_34079,c_14]) ).
tff(c_34598,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_34081,c_4]) ).
tff(c_34636,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34632,c_178]) ).
tff(c_34206,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_34087]) ).
tff(c_34080,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34074,c_176]) ).
tff(c_34688,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_34636,c_34206,c_34080,c_30]) ).
tff(c_34647,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_33824,c_32]) ).
tff(c_436,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_34768,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34632,c_34598,c_34688,c_19717,c_765,c_33829,c_34207,c_34647,c_436]) ).
tff(c_34769,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_200,c_204,c_34768]) ).
tff(c_34771,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_34205]) ).
tff(c_34782,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_33834,c_34771,c_32171,c_26]) ).
tff(c_34787,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34782,c_140]) ).
tff(c_34804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_33824,c_34787,c_32]) ).
tff(c_34805,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_33815]) ).
tff(c_34810,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34805,c_162]) ).
tff(c_34812,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34805,c_168]) ).
tff(c_34833,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_33824,c_32171,c_88]) ).
tff(c_34834,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_34833]) ).
tff(c_34817,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19721,c_32170,c_10]) ).
tff(c_34818,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_34817]) ).
tff(c_34822,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34818,c_154]) ).
tff(c_34928,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_34822,c_32171,c_26]) ).
tff(c_34929,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_34928]) ).
tff(c_34932,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34929,c_134]) ).
tff(c_34836,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34834,c_138]) ).
tff(c_34823,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34818,c_112]) ).
tff(c_34839,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34834,c_178]) ).
tff(c_34845,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_4]) ).
tff(c_34846,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_34845]) ).
tff(c_34851,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34846,c_102]) ).
tff(c_34856,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_34851,c_32172,c_6]) ).
tff(c_34861,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34856,c_170]) ).
tff(c_34915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34823,c_19722,c_34839,c_34861,c_14]) ).
tff(c_34916,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_34845]) ).
tff(c_34921,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34916,c_164]) ).
tff(c_34939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34812,c_34932,c_34836,c_34921,c_28]) ).
tff(c_34940,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_34928]) ).
tff(c_34954,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34834,c_34940,c_96]) ).
tff(c_34955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_202,c_34812,c_200,c_34954]) ).
tff(c_34956,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_34833]) ).
tff(c_34968,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_4]) ).
tff(c_34969,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_34968]) ).
tff(c_35180,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32165,c_34969,c_32165,c_34805,c_32165,c_34969,c_32165,c_748]) ).
tff(c_35181,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_34968]) ).
tff(c_35212,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34956,c_34805,c_35181,c_58]) ).
tff(c_35213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_19720,c_196,c_35212]) ).
tff(c_35214,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_34817]) ).
tff(c_34806,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_33815]) ).
tff(c_35264,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_33816,c_33821,c_22]) ).
tff(c_35265,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_35264]) ).
tff(c_35268,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35265,c_124]) ).
tff(c_35218,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35214,c_150]) ).
tff(c_35307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34806,c_35268,c_32169,c_35218,c_18]) ).
tff(c_35308,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_35264]) ).
tff(c_35314,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35308,c_172]) ).
tff(c_35227,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_4]) ).
tff(c_35228,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_35227]) ).
tff(c_35320,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_35228,c_32165,c_36]) ).
tff(c_35321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_35314,c_196,c_194,c_35320]) ).
tff(c_35322,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_35227]) ).
tff(c_35327,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35322,c_164]) ).
tff(c_35416,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_34812,c_35327,c_28]) ).
tff(c_35417,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_35416]) ).
tff(c_35334,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_34812,c_96]) ).
tff(c_35335,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_35334]) ).
tff(c_35365,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35335,c_178]) ).
tff(c_35402,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_35214,c_64]) ).
tff(c_35403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_35365,c_34810,c_200,c_35402]) ).
tff(c_35404,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_35334]) ).
tff(c_35439,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35417,c_35404,c_88]) ).
tff(c_35440,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_33824,c_198,c_202,c_35439]) ).
tff(c_35328,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35322,c_102]) ).
tff(c_35501,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_32172,c_35328,c_6]) ).
tff(c_35462,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_33816,c_33821,c_22]) ).
tff(c_35463,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_35462]) ).
tff(c_35418,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_35214,c_64]) ).
tff(c_35419,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_34810,c_200,c_35418]) ).
tff(c_35482,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35440,c_35463,c_35419,c_66]) ).
tff(c_35483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_35328,c_35482]) ).
tff(c_35484,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_35462]) ).
tff(c_35517,plain,
( ( op(e1,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33818,c_35484,c_34805,c_76]) ).
tff(c_35518,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_35517]) ).
tff(c_35613,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35214,c_35322,c_35440,c_19717,c_35501,c_35518,c_765,c_35404,c_430]) ).
tff(c_35614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_196,c_200,c_35613]) ).
tff(c_35615,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_35416]) ).
tff(c_35621,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35615,c_166]) ).
tff(c_35221,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35214,c_110]) ).
tff(c_35711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34810,c_19720,c_35621,c_35221,c_12]) ).
tff(c_35712,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_33817]) ).
tff(c_35719,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_192]) ).
tff(c_37089,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_35719,c_32]) ).
tff(c_37078,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_33815]) ).
tff(c_37081,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37078,c_150]) ).
tff(c_36958,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_32171,c_26]) ).
tff(c_36959,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_36958]) ).
tff(c_36965,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36959,c_156]) ).
tff(c_36970,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_36965,c_33815]) ).
tff(c_36974,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36970,c_162]) ).
tff(c_36964,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36959,c_154]) ).
tff(c_36506,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_35719,c_32]) ).
tff(c_35724,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19722,c_14]) ).
tff(c_35725,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_35724]) ).
tff(c_35728,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35725,c_112]) ).
tff(c_36038,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_33815]) ).
tff(c_36043,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36038,c_122]) ).
tff(c_35718,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_130]) ).
tff(c_36077,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_36043,c_35718,c_20]) ).
tff(c_36078,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_36077]) ).
tff(c_36081,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36078,c_160]) ).
tff(c_36155,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_36078,c_36038,c_72]) ).
tff(c_36156,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_36155]) ).
tff(c_36111,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_32172,c_6]) ).
tff(c_36112,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_36111]) ).
tff(c_36067,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_35719,c_32]) ).
tff(c_35730,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35725,c_178]) ).
tff(c_35737,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19724,c_92]) ).
tff(c_35738,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_35737]) ).
tff(c_35743,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35738,c_176]) ).
tff(c_35863,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_35719,c_32]) ).
tff(c_35731,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35725,c_114]) ).
tff(c_35770,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_35728,c_19721,c_32170,c_10]) ).
tff(c_35775,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35770,c_110]) ).
tff(c_35801,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_35731,c_19720,c_35775,c_12]) ).
tff(c_35805,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35801,c_162]) ).
tff(c_35780,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_4]) ).
tff(c_35781,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_35780]) ).
tff(c_35785,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35781,c_160]) ).
tff(c_35749,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_33815]) ).
tff(c_35811,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_35749,c_72]) ).
tff(c_35812,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_35811]) ).
tff(c_35813,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_35812]) ).
tff(c_35830,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_35813,c_35749,c_76]) ).
tff(c_35831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_35785,c_204,c_35830]) ).
tff(c_35832,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_35812]) ).
tff(c_35836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35805,c_35832]) ).
tff(c_35837,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_35780]) ).
tff(c_35844,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35837,c_102]) ).
tff(c_35850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_35743,c_32172,c_35844,c_6]) ).
tff(c_35851,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_33815]) ).
tff(c_35858,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35851,c_168]) ).
tff(c_35741,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35738,c_138]) ).
tff(c_35868,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35863,c_142]) ).
tff(c_35951,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_35858,c_35741,c_35868,c_28]) ).
tff(c_35906,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_4]) ).
tff(c_35907,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_35906]) ).
tff(c_36018,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35863,c_35951,c_35863,c_35907,c_35951,c_35863,c_35863,c_750]) ).
tff(c_36019,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_35906]) ).
tff(c_36034,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e3,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_36019,c_32165,c_44]) ).
tff(c_36035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_35743,c_196,c_198,c_36034]) ).
tff(c_36036,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_35737]) ).
tff(c_36054,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_36036]) ).
tff(c_36098,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36067,c_36054,c_96]) ).
tff(c_36099,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_35730,c_204,c_36098]) ).
tff(c_36135,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36067,c_36099,c_36054,c_84]) ).
tff(c_36136,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_36135]) ).
tff(c_36249,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36156,c_36112,c_36136,c_19717,c_765,c_36038,c_36038,c_36136,c_562]) ).
tff(c_36250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_200,c_204,c_36249]) ).
tff(c_36251,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_36111]) ).
tff(c_36257,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36251,c_102]) ).
tff(c_36277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_36081,c_32173,c_36257,c_4]) ).
tff(c_36278,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_36077]) ).
tff(c_36293,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36278,c_162]) ).
tff(c_36280,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_35728,c_19721,c_32170,c_10]) ).
tff(c_36325,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_35725,c_36280,c_56]) ).
tff(c_36326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_36293,c_194,c_36325]) ).
tff(c_36328,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_36036]) ).
tff(c_36044,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36038,c_156]) ).
tff(c_36049,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_32171,c_26]) ).
tff(c_36050,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_36049]) ).
tff(c_36051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36044,c_36050]) ).
tff(c_36052,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_36049]) ).
tff(c_36339,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_36328,c_36052]) ).
tff(c_36345,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36339,c_154]) ).
tff(c_36352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35728,c_19721,c_32170,c_36345,c_10]) ).
tff(c_36353,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_33815]) ).
tff(c_36360,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36353,c_168]) ).
tff(c_36403,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_35719,c_32]) ).
tff(c_36365,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_36036]) ).
tff(c_36437,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36403,c_36365,c_96]) ).
tff(c_36438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_35730,c_36360,c_204,c_36437]) ).
tff(c_36439,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_36036]) ).
tff(c_668,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_36638,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36506,c_765,c_35712,c_35725,c_19717,c_36353,c_36439,c_36506,c_668]) ).
tff(c_36639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_198,c_204,c_36638]) ).
tff(c_36640,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_35724]) ).
tff(c_36981,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_36640]) ).
tff(c_36985,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36981,c_112]) ).
tff(c_37026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36964,c_19721,c_32170,c_36985,c_10]) ).
tff(c_37027,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_36640]) ).
tff(c_37054,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_36964,c_19721,c_32170,c_10]) ).
tff(c_37074,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_37027,c_37054,c_64]) ).
tff(c_37075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_36974,c_200,c_37074]) ).
tff(c_37076,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_36958]) ).
tff(c_37100,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_37076]) ).
tff(c_37105,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37100,c_154]) ).
tff(c_37168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37081,c_19721,c_32170,c_37105,c_10]) ).
tff(c_37169,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_37076]) ).
tff(c_37214,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37089,c_37169,c_96]) ).
tff(c_37215,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_37214]) ).
tff(c_37216,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_37215]) ).
tff(c_37222,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37216,c_138]) ).
tff(c_37173,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37169,c_134]) ).
tff(c_37094,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37089,c_142]) ).
tff(c_37183,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_36640]) ).
tff(c_37188,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37183,c_170]) ).
tff(c_37199,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_32172,c_37188,c_6]) ).
tff(c_37205,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37199,c_102]) ).
tff(c_37230,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_37205,c_32173,c_4]) ).
tff(c_37236,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37230,c_164]) ).
tff(c_37241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37222,c_37173,c_37094,c_37236,c_28]) ).
tff(c_37243,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_37215]) ).
tff(c_37258,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37183,c_37199,c_78]) ).
tff(c_37259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37243,c_33816,c_200,c_204,c_37258]) ).
tff(c_37260,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_36640]) ).
tff(c_37278,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_32173,c_4]) ).
tff(c_37279,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_37278]) ).
tff(c_37285,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37279,c_102]) ).
tff(c_37290,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_37285,c_32172,c_6]) ).
tff(c_37433,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37260,c_37290,c_78]) ).
tff(c_37434,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_33816,c_202,c_200,c_37433]) ).
tff(c_37438,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37434,c_138]) ).
tff(c_37268,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37260,c_114]) ).
tff(c_37300,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19720,c_37268,c_12]) ).
tff(c_37301,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_37300]) ).
tff(c_37305,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37301,c_166]) ).
tff(c_37346,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_37305,c_37173,c_37094,c_28]) ).
tff(c_37420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37089,c_37346,c_37089,c_37279,c_37346,c_37089,c_37089,c_750]) ).
tff(c_37421,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_37300]) ).
tff(c_37426,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37421,c_166]) ).
tff(c_37463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37438,c_37173,c_37094,c_37426,c_28]) ).
tff(c_37464,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_37278]) ).
tff(c_37468,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37464,c_158]) ).
tff(c_37476,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19720,c_37268,c_12]) ).
tff(c_37477,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_37476]) ).
tff(c_37481,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37477,c_166]) ).
tff(c_37470,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37464,c_164]) ).
tff(c_37515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37481,c_37173,c_37094,c_37470,c_28]) ).
tff(c_37516,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_37476]) ).
tff(c_37519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37468,c_37516]) ).
tff(c_37520,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_33815]) ).
tff(c_37527,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37520,c_168]) ).
tff(c_36655,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_33815]) ).
tff(c_36658,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36655,c_150]) ).
tff(c_36713,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_36655,c_72]) ).
tff(c_36714,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_36713]) ).
tff(c_36715,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_36714]) ).
tff(c_36720,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36715,c_174]) ).
tff(c_36726,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_36720,c_36640]) ).
tff(c_36730,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36726,c_112]) ).
tff(c_36771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36658,c_19721,c_32170,c_36730,c_10]) ).
tff(c_36772,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_36714]) ).
tff(c_36777,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36772,c_162]) ).
tff(c_36666,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19720,c_12]) ).
tff(c_36667,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_36666]) ).
tff(c_36671,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36667,c_166]) ).
tff(c_36661,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36655,c_156]) ).
tff(c_36699,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_35719,c_32]) ).
tff(c_36643,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19724,c_92]) ).
tff(c_36644,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_36643]) ).
tff(c_36709,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36699,c_36644,c_96]) ).
tff(c_36710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_36671,c_36661,c_36709]) ).
tff(c_36711,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_36666]) ).
tff(c_36819,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_36777,c_36711]) ).
tff(c_36825,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36819,c_110]) ).
tff(c_36840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36658,c_19721,c_32170,c_36825,c_10]) ).
tff(c_36841,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_33815]) ).
tff(c_36848,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36841,c_168]) ).
tff(c_36885,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_35719,c_32]) ).
tff(c_36895,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36885,c_36644,c_96]) ).
tff(c_36896,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_36848,c_36895]) ).
tff(c_36900,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36896,c_154]) ).
tff(c_36864,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_36640]) ).
tff(c_36846,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36841,c_162]) ).
tff(c_36870,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36864,c_114]) ).
tff(c_36875,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_36846,c_19720,c_36870,c_12]) ).
tff(c_36919,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_36864,c_36875,c_64]) ).
tff(c_36920,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_36900,c_36919]) ).
tff(c_36921,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_36640]) ).
tff(c_36925,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36921,c_174]) ).
tff(c_36954,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_36841,c_72]) ).
tff(c_36955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_36925,c_202,c_32169,c_36954]) ).
tff(c_36956,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_36643]) ).
tff(c_37853,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_36956]) ).
tff(c_37856,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37853,c_134]) ).
tff(c_37532,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_19724,c_35719,c_32]) ).
tff(c_37537,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37532,c_142]) ).
tff(c_37525,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37520,c_162]) ).
tff(c_37523,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37520,c_122]) ).
tff(c_35717,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_128]) ).
tff(c_37648,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_37523,c_32169,c_35717,c_18]) ).
tff(c_37652,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37648,c_124]) ).
tff(c_35716,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35712,c_132]) ).
tff(c_37666,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_33816,c_37652,c_35716,c_22]) ).
tff(c_37543,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_36640]) ).
tff(c_37548,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37543,c_170]) ).
tff(c_37657,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_32172,c_37548,c_6]) ).
tff(c_37625,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19717,c_37543,c_64]) ).
tff(c_37626,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_37525,c_37625]) ).
tff(c_37590,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_37076]) ).
tff(c_37601,plain,
( ( op(e0,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37590,c_36956]) ).
tff(c_37602,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_37601]) ).
tff(c_37614,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37532,c_37602,c_37590,c_96]) ).
tff(c_37615,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_37614]) ).
tff(c_482,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_37776,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37666,c_37657,c_765,c_37626,c_37520,c_37666,c_35712,c_37615,c_482]) ).
tff(c_37777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_204,c_196,c_37776]) ).
tff(c_37778,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_37076]) ).
tff(c_37787,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37778,c_156]) ).
tff(c_37838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37523,c_37787,c_32169,c_35717,c_18]) ).
tff(c_37839,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_36640]) ).
tff(c_37847,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37839,c_114]) ).
tff(c_37864,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_37525,c_19720,c_37847,c_12]) ).
tff(c_37869,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37864,c_166]) ).
tff(c_37899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37527,c_37856,c_37537,c_37869,c_28]) ).
tff(c_37900,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_36956]) ).
tff(c_37907,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37900,c_164]) ).
tff(c_37936,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_37525,c_19720,c_37847,c_12]) ).
tff(c_37940,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37936,c_158]) ).
tff(c_37945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_37907,c_32173,c_37940,c_4]) ).
tff(c_37946,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_19715]) ).
tff(c_37952,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_120]) ).
tff(c_52302,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37952,c_14]) ).
tff(c_52303,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_52302]) ).
tff(c_52305,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52303,c_174]) ).
tff(c_52306,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52303,c_112]) ).
tff(c_37951,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_116]) ).
tff(c_52688,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_52306,c_37951,c_10]) ).
tff(c_52689,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_52688]) ).
tff(c_52693,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52689,c_154]) ).
tff(c_46944,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_765,c_90]) ).
tff(c_46945,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_46944]) ).
tff(c_46946,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_46945]) ).
tff(c_47082,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_96]) ).
tff(c_47083,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_47082]) ).
tff(c_47084,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_47083]) ).
tff(c_47089,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47084,c_178]) ).
tff(c_37960,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_2]) ).
tff(c_37961,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_37960]) ).
tff(c_37966,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37961,c_100]) ).
tff(c_37972,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_37978,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_180]) ).
tff(c_37976,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_174]) ).
tff(c_37964,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37961,c_146]) ).
tff(c_39013,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37964,c_37951,c_10]) ).
tff(c_39014,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_39013]) ).
tff(c_39020,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39014,c_110]) ).
tff(c_37975,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_126]) ).
tff(c_37963,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37961,c_148]) ).
tff(c_37965,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37961,c_152]) ).
tff(c_39051,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37965,c_92]) ).
tff(c_39052,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_39051]) ).
tff(c_39058,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39052,c_192]) ).
tff(c_37953,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_186]) ).
tff(c_39036,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_72]) ).
tff(c_39037,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_37953,c_202,c_39036]) ).
tff(c_39038,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_39037]) ).
tff(c_39098,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_39038,c_76]) ).
tff(c_39099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39058,c_204,c_198,c_37963,c_39098]) ).
tff(c_39101,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_39051]) ).
tff(c_37954,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_190]) ).
tff(c_39228,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_39101,c_37954,c_32]) ).
tff(c_39100,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_39051]) ).
tff(c_39102,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_39100]) ).
tff(c_37950,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_118]) ).
tff(c_37974,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_124]) ).
tff(c_37967,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37961,c_98]) ).
tff(c_37983,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_37967,c_4]) ).
tff(c_37984,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_37983]) ).
tff(c_37989,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37984,c_164]) ).
tff(c_38599,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37965,c_26]) ).
tff(c_38600,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_38599]) ).
tff(c_38622,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38600,c_88]) ).
tff(c_38623,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_37954,c_37989,c_202,c_38622]) ).
tff(c_38602,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38600,c_134]) ).
tff(c_38633,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38623,c_38600,c_92]) ).
tff(c_38634,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_38633]) ).
tff(c_38635,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_38634]) ).
tff(c_38649,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38635,c_142]) ).
tff(c_38007,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37965,c_26]) ).
tff(c_38008,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_38007]) ).
tff(c_38010,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38008,c_134]) ).
tff(c_37988,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37984,c_160]) ).
tff(c_37995,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37975,c_37988,c_20]) ).
tff(c_37996,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_37995]) ).
tff(c_38002,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37996,c_168]) ).
tff(c_38044,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_38045,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_38044]) ).
tff(c_38029,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38008,c_88]) ).
tff(c_38030,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_37954,c_37989,c_202,c_38029]) ).
tff(c_38089,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38045,c_38030,c_38008,c_84]) ).
tff(c_38090,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_38089]) ).
tff(c_38019,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_37996,c_72]) ).
tff(c_38020,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_37953,c_202,c_198,c_38019]) ).
tff(c_38079,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38008,c_38020,c_37961,c_34]) ).
tff(c_38080,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_38079]) ).
tff(c_38210,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38045,c_765,c_38090,c_37946,c_37984,c_38020,c_38080,c_38090,c_688]) ).
tff(c_38211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_194,c_194,c_38210]) ).
tff(c_38212,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_38044]) ).
tff(c_38216,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38212,c_142]) ).
tff(c_38250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38010,c_38002,c_37989,c_38216,c_28]) ).
tff(c_38252,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_38007]) ).
tff(c_38347,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_37978,c_38252,c_96]) ).
tff(c_38353,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38347,c_166]) ).
tff(c_38001,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37996,c_162]) ).
tff(c_38504,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_38353,c_38001,c_37950,c_12]) ).
tff(c_38253,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37978,c_30]) ).
tff(c_38254,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_38253]) ).
tff(c_38251,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_38007]) ).
tff(c_38265,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_38251]) ).
tff(c_38290,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38254,c_38265,c_88]) ).
tff(c_38291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37954,c_198,c_37989,c_194,c_38290]) ).
tff(c_38292,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_38251]) ).
tff(c_38310,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38292,c_156]) ).
tff(c_37999,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37996,c_130]) ).
tff(c_38294,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_37999,c_37953,c_24]) ).
tff(c_38298,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38294,c_128]) ).
tff(c_38344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37974,c_37963,c_38310,c_38298,c_18]) ).
tff(c_38345,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_38253]) ).
tff(c_38358,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_38345]) ).
tff(c_38361,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38358,c_136]) ).
tff(c_38369,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_38361,c_38251]) ).
tff(c_38375,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38369,c_156]) ).
tff(c_38380,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_37996,c_72]) ).
tff(c_38381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37953,c_202,c_198,c_38375,c_38380]) ).
tff(c_38382,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_38345]) ).
tff(c_38468,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_37984,c_37961,c_36]) ).
tff(c_38469,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_38468]) ).
tff(c_38482,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38382,c_37972,c_38469,c_74]) ).
tff(c_38483,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_38482]) ).
tff(c_38386,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38382,c_136]) ).
tff(c_38395,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_38386,c_38251]) ).
tff(c_38419,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38382,c_38347,c_38395,c_92]) ).
tff(c_38420,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_38419]) ).
tff(c_412,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_38584,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38504,c_37984,c_37972,c_38483,c_38483,c_37996,c_38382,c_38420,c_412]) ).
tff(c_38585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_198,c_202,c_38584]) ).
tff(c_38586,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_37995]) ).
tff(c_38593,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38586,c_168]) ).
tff(c_38694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38602,c_38649,c_37989,c_38593,c_28]) ).
tff(c_38695,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_38634]) ).
tff(c_38735,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38623,c_38695,c_38600,c_84]) ).
tff(c_38736,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_38735]) ).
tff(c_38611,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_38586,c_72]) ).
tff(c_38612,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_37953,c_202,c_194,c_38611]) ).
tff(c_38721,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38600,c_38612,c_37961,c_34]) ).
tff(c_38722,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_38721]) ).
tff(c_38776,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37972,c_38586,c_38612,c_76]) ).
tff(c_38777,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_38776]) ).
tff(c_38859,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38736,c_765,c_37961,c_38722,c_38623,c_38777,c_38586,c_38623,c_618]) ).
tff(c_38860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_202,c_196,c_38859]) ).
tff(c_38861,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_38599]) ).
tff(c_38863,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_38861]) ).
tff(c_38867,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38863,c_136]) ).
tff(c_38885,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37978,c_38867,c_30]) ).
tff(c_38886,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_38885]) ).
tff(c_38901,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38886,c_38863,c_88]) ).
tff(c_38902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37954,c_198,c_37989,c_194,c_38901]) ).
tff(c_38903,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_38885]) ).
tff(c_38916,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38903,c_38863,c_92]) ).
tff(c_38917,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_38916]) ).
tff(c_38918,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_38917]) ).
tff(c_38923,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38918,c_192]) ).
tff(c_38590,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38586,c_130]) ).
tff(c_38976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_38923,c_37953,c_38590,c_24]) ).
tff(c_38978,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_38917]) ).
tff(c_38868,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38863,c_140]) ).
tff(c_38995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_38978,c_37954,c_38868,c_32]) ).
tff(c_38996,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_38861]) ).
tff(c_39004,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38996,c_156]) ).
tff(c_38591,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38586,c_122]) ).
tff(c_39010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37974,c_37963,c_39004,c_38591,c_18]) ).
tff(c_39011,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_37983]) ).
tff(c_39028,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39011,c_158]) ).
tff(c_39103,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_39020,c_37950,c_39028,c_12]) ).
tff(c_39107,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39103,c_166]) ).
tff(c_39123,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39102,c_39107]) ).
tff(c_39124,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_39100]) ).
tff(c_39169,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_37953,c_24]) ).
tff(c_39170,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_39169]) ).
tff(c_39311,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39228,c_765,c_765,c_39014,c_39124,c_39170,c_37972,c_39124,c_618]) ).
tff(c_39312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_204,c_204,c_39311]) ).
tff(c_39313,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_39169]) ).
tff(c_39341,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39313,c_37972,c_39038,c_76]) ).
tff(c_39342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_37963,c_39341]) ).
tff(c_39344,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_39037]) ).
tff(c_39029,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39011,c_160]) ).
tff(c_39377,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_37975,c_39344,c_39029,c_20]) ).
tff(c_39381,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39377,c_162]) ).
tff(c_39398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39020,c_39381,c_37950,c_39028,c_12]) ).
tff(c_39399,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_39013]) ).
tff(c_39428,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39399,c_112]) ).
tff(c_39791,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_37976,c_37952,c_39428,c_14]) ).
tff(c_39795,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39791,c_178]) ).
tff(c_39407,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39011,c_102]) ).
tff(c_39777,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_39407,c_6]) ).
tff(c_39782,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39777,c_176]) ).
tff(c_39435,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_39436,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_39435]) ).
tff(c_39440,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39436,c_144]) ).
tff(c_39412,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37965,c_26]) ).
tff(c_39413,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_39412]) ).
tff(c_39522,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39436,c_39413,c_88]) ).
tff(c_39523,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_39522]) ).
tff(c_39524,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_39523]) ).
tff(c_39528,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39524,c_176]) ).
tff(c_39592,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_39011,c_37961,c_40]) ).
tff(c_39593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_39528,c_194,c_198,c_39592]) ).
tff(c_39595,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_39523]) ).
tff(c_39639,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_37978,c_39440,c_39595,c_30]) ).
tff(c_39620,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_39407,c_6]) ).
tff(c_39728,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39436,c_39639,c_39436,c_39620,c_39639,c_39436,c_39436,c_738]) ).
tff(c_39729,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_39435]) ).
tff(c_39734,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39729,c_144]) ).
tff(c_39824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37978,c_39795,c_39782,c_39734,c_30]) ).
tff(c_39825,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_39827,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_39825]) ).
tff(c_39833,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39827,c_172]) ).
tff(c_40520,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_39833,c_6]) ).
tff(c_39839,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_37965,c_92]) ).
tff(c_39840,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_39839]) ).
tff(c_39846,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39840,c_192]) ).
tff(c_39829,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39827,c_132]) ).
tff(c_39879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_39846,c_37953,c_39829,c_24]) ).
tff(c_39880,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_39839]) ).
tff(c_40222,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_39880]) ).
tff(c_40227,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40222,c_168]) ).
tff(c_40127,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_39833,c_6]) ).
tff(c_39831,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39827,c_126]) ).
tff(c_39882,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_39831,c_20]) ).
tff(c_39883,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_39882]) ).
tff(c_39888,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39883,c_162]) ).
tff(c_39894,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_39880]) ).
tff(c_39899,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39894,c_166]) ).
tff(c_39905,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37964,c_37951,c_10]) ).
tff(c_39906,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_39905]) ).
tff(c_39921,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39906,c_154]) ).
tff(c_39881,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_39839]) ).
tff(c_39907,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_39881,c_37954,c_32]) ).
tff(c_39911,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39907,c_140]) ).
tff(c_39939,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_39921,c_37965,c_39911,c_26]) ).
tff(c_39944,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39939,c_156]) ).
tff(c_39949,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39827,c_39883,c_72]) ).
tff(c_39950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37953,c_194,c_202,c_39944,c_39949]) ).
tff(c_39951,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_39905]) ).
tff(c_39958,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39951,c_110]) ).
tff(c_39979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39888,c_39899,c_37950,c_39958,c_12]) ).
tff(c_39980,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_39880]) ).
tff(c_39997,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39980,c_178]) ).
tff(c_39832,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39827,c_174]) ).
tff(c_40111,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_39997,c_37952,c_39832,c_14]) ).
tff(c_40219,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37961,c_40127,c_37961,c_40111,c_40127,c_37961,c_37961,c_736]) ).
tff(c_40220,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_39882]) ).
tff(c_40233,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_40227,c_40220]) ).
tff(c_40245,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39827,c_40233,c_80]) ).
tff(c_40246,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_202,c_40245]) ).
tff(c_40277,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_39881,c_37954,c_32]) ).
tff(c_40252,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40246,c_156]) ).
tff(c_40316,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40277,c_40222,c_96]) ).
tff(c_40317,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_40252,c_40316]) ).
tff(c_40371,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40277,c_40317,c_40222,c_88]) ).
tff(c_40372,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_40371]) ).
tff(c_40441,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39827,c_40246,c_39827,c_40372,c_39827,c_40246,c_39827,c_754]) ).
tff(c_40442,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_39880]) ).
tff(c_40449,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40442,c_178]) ).
tff(c_40532,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_40449,c_37952,c_39832,c_14]) ).
tff(c_40638,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37961,c_40520,c_37961,c_40532,c_40520,c_37961,c_37961,c_736]) ).
tff(c_40639,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_39825]) ).
tff(c_40641,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_40639]) ).
tff(c_40646,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_132]) ).
tff(c_41864,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_40646,c_37953,c_24]) ).
tff(c_40648,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_126]) ).
tff(c_40656,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_96]) ).
tff(c_40657,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_40656]) ).
tff(c_40660,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40657,c_138]) ).
tff(c_40748,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_72]) ).
tff(c_40749,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_37953,c_198,c_40748]) ).
tff(c_40750,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_40749]) ).
tff(c_40670,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_37967,c_4]) ).
tff(c_40671,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_40670]) ).
tff(c_40677,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40671,c_102]) ).
tff(c_40663,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40657,c_178]) ).
tff(c_40649,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_174]) ).
tff(c_40716,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_40663,c_40649,c_37952,c_14]) ).
tff(c_40733,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40657,c_40641,c_40716,c_70]) ).
tff(c_40734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_40677,c_40733]) ).
tff(c_40735,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_40670]) ).
tff(c_62,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_40800,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40750,c_40735,c_62]) ).
tff(c_40801,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_40660,c_202,c_200,c_40800]) ).
tff(c_40805,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40801,c_110]) ).
tff(c_40785,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_40663,c_40649,c_37952,c_14]) ).
tff(c_40789,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40785,c_112]) ).
tff(c_40824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40805,c_37964,c_37951,c_40789,c_10]) ).
tff(c_40826,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_40749]) ).
tff(c_40741,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40735,c_160]) ).
tff(c_41031,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_40648,c_40826,c_40741,c_20]) ).
tff(c_41035,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41031,c_162]) ).
tff(c_40659,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40657,c_136]) ).
tff(c_40825,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_40749]) ).
tff(c_40831,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40825,c_156]) ).
tff(c_40836,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_40659,c_37965,c_40831,c_26]) ).
tff(c_40847,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40657,c_40836,c_92]) ).
tff(c_40848,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_40847]) ).
tff(c_40849,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_40848]) ).
tff(c_40883,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40735,c_62]) ).
tff(c_40884,plain,
( ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_40660,c_200,c_40883]) ).
tff(c_40885,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_40884]) ).
tff(c_40889,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40885,c_162]) ).
tff(c_40850,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_40663,c_40649,c_37952,c_14]) ).
tff(c_40899,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_40850,c_64]) ).
tff(c_40900,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_40889,c_40899]) ).
tff(c_40874,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_40646,c_37953,c_24]) ).
tff(c_40740,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40735,c_158]) ).
tff(c_40945,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_40889,c_37950,c_40740,c_12]) ).
tff(c_40923,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40849,c_40657,c_40836,c_88]) ).
tff(c_40924,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_40923]) ).
tff(c_41027,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40849,c_765,c_765,c_40900,c_40836,c_40874,c_40945,c_40924,c_616]) ).
tff(c_41028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_198,c_41027]) ).
tff(c_41029,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_40884]) ).
tff(c_41041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41035,c_41029]) ).
tff(c_41043,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_40848]) ).
tff(c_40841,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40836,c_140]) ).
tff(c_41053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_41043,c_37954,c_40841,c_32]) ).
tff(c_41054,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_40656]) ).
tff(c_41056,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_41054]) ).
tff(c_41544,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41056,c_156]) ).
tff(c_41064,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41056,c_154]) ).
tff(c_41061,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41056,c_134]) ).
tff(c_40651,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_180]) ).
tff(c_41092,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41056,c_92]) ).
tff(c_41093,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_40651,c_204,c_41092]) ).
tff(c_41094,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_41093]) ).
tff(c_41097,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41094,c_142]) ).
tff(c_41112,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_40649,c_37952,c_14]) ).
tff(c_41113,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_41112]) ).
tff(c_41126,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_41113,c_70]) ).
tff(c_41127,plain,
( ( op(e3,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_41126]) ).
tff(c_41128,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_41127]) ).
tff(c_41131,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41128,c_138]) ).
tff(c_41141,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_41061,c_41097,c_41131,c_28]) ).
tff(c_41057,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_80]) ).
tff(c_41058,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_41057]) ).
tff(c_41059,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_41058]) ).
tff(c_41132,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41128,c_176]) ).
tff(c_41153,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_41132,c_6]) ).
tff(c_41187,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_41153,c_37961,c_40]) ).
tff(c_41188,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_41187]) ).
tff(c_41217,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41141,c_41059,c_41188,c_58]) ).
tff(c_41218,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_41217]) ).
tff(c_41104,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_40646,c_37953,c_24]) ).
tff(c_41080,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_41059,c_72]) ).
tff(c_41081,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_37953,c_198,c_202,c_41080]) ).
tff(c_41172,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_41064,c_37964,c_37951,c_10]) ).
tff(c_400,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_41278,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41218,c_41188,c_41104,c_41113,c_41188,c_41081,c_41172,c_41141,c_400]) ).
tff(c_41279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_194,c_194,c_41278]) ).
tff(c_41280,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_41127]) ).
tff(c_41396,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37961,c_41280,c_37961,c_41113,c_41280,c_37961,c_37961,c_736]) ).
tff(c_41397,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_41112]) ).
tff(c_41401,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41397,c_112]) ).
tff(c_41424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41064,c_37964,c_37951,c_41401,c_10]) ).
tff(c_41425,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_41093]) ).
tff(c_41430,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41425,c_166]) ).
tff(c_41436,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_40649,c_37952,c_14]) ).
tff(c_41437,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_41436]) ).
tff(c_60,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_41468,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_41437,c_60]) ).
tff(c_41469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_41430,c_37964,c_41468]) ).
tff(c_41470,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_41436]) ).
tff(c_41509,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41470,c_112]) ).
tff(c_41536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41064,c_37964,c_37951,c_41509,c_10]) ).
tff(c_41537,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_41058]) ).
tff(c_41561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41544,c_41537]) ).
tff(c_41562,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_41054]) ).
tff(c_41568,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41562,c_168]) ).
tff(c_41574,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_72]) ).
tff(c_41575,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_37953,c_198,c_41574]) ).
tff(c_41576,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_41575]) ).
tff(c_41580,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41576,c_160]) ).
tff(c_41639,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_6]) ).
tff(c_41640,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_41639]) ).
tff(c_41055,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_40656]) ).
tff(c_41627,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40641,c_78]) ).
tff(c_41628,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_41055,c_204,c_766,c_41627]) ).
tff(c_41814,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37961,c_41640,c_37961,c_41628,c_37961,c_41640,c_37961,c_736]) ).
tff(c_41815,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_41639]) ).
tff(c_41820,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41815,c_102]) ).
tff(c_41841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_37967,c_41580,c_41820,c_4]) ).
tff(c_41843,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_41575]) ).
tff(c_41853,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_41568,c_40648,c_41843,c_20]) ).
tff(c_41857,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41853,c_130]) ).
tff(c_41874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41864,c_41857]) ).
tff(c_41875,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_40639]) ).
tff(c_41890,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_41891,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_41890]) ).
tff(c_42006,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41891,c_192]) ).
tff(c_42005,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41891,c_144]) ).
tff(c_41884,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41875,c_180]) ).
tff(c_41883,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41875,c_172]) ).
tff(c_42158,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_41883,c_6]) ).
tff(c_42163,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42158,c_176]) ).
tff(c_42171,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_42005,c_41884,c_42163,c_30]) ).
tff(c_42176,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42171,c_178]) ).
tff(c_41881,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41875,c_126]) ).
tff(c_42146,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_41881,c_20]) ).
tff(c_42147,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_42146]) ).
tff(c_42152,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42147,c_162]) ).
tff(c_42223,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_42152,c_37950,c_12]) ).
tff(c_42224,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_42223]) ).
tff(c_42228,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42224,c_114]) ).
tff(c_42162,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42158,c_170]) ).
tff(c_42233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42176,c_42228,c_37952,c_42162,c_14]) ).
tff(c_42234,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_42223]) ).
tff(c_42248,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42234,c_166]) ).
tff(c_41892,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37965,c_26]) ).
tff(c_41893,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_41892]) ).
tff(c_41908,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41893,c_156]) ).
tff(c_41880,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41875,c_124]) ).
tff(c_41907,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41893,c_154]) ).
tff(c_41953,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_41907,c_37964,c_37951,c_10]) ).
tff(c_41957,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41953,c_150]) ).
tff(c_41998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41908,c_37963,c_41880,c_41957,c_18]) ).
tff(c_41999,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_41892]) ).
tff(c_42011,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_41999]) ).
tff(c_42112,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42011,c_136]) ).
tff(c_42084,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_41883,c_6]) ).
tff(c_42088,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42084,c_102]) ).
tff(c_42093,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_37967,c_42088,c_4]) ).
tff(c_42098,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42093,c_164]) ).
tff(c_42012,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_42005,c_41884,c_30]) ).
tff(c_42013,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_42012]) ).
tff(c_42105,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41891,c_42013,c_42011,c_88]) ).
tff(c_42106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_42098,c_194,c_42105]) ).
tff(c_42107,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_42012]) ).
tff(c_42130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42112,c_42107]) ).
tff(c_42131,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_41999]) ).
tff(c_42253,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41891,c_42171,c_42131,c_84]) ).
tff(c_42254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_42248,c_194,c_42253]) ).
tff(c_42255,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_42146]) ).
tff(c_42257,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_42255]) ).
tff(c_42261,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42257,c_122]) ).
tff(c_42380,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_37963,c_41880,c_42261,c_18]) ).
tff(c_42403,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41875,c_42257,c_42380,c_76]) ).
tff(c_42404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42006,c_198,c_196,c_204,c_42403]) ).
tff(c_42405,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_42255]) ).
tff(c_42726,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41875,c_42405,c_80]) ).
tff(c_42727,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_204,c_42726]) ).
tff(c_42731,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42727,c_150]) ).
tff(c_42419,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37952,c_14]) ).
tff(c_42420,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_42419]) ).
tff(c_42425,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42420,c_114]) ).
tff(c_42412,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42405,c_162]) ).
tff(c_42422,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42420,c_112]) ).
tff(c_42440,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_42422,c_37964,c_37951,c_10]) ).
tff(c_42444,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42440,c_110]) ).
tff(c_42461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42425,c_42412,c_37950,c_42444,c_12]) ).
tff(c_42462,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_42419]) ).
tff(c_42464,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_42462]) ).
tff(c_42467,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42464,c_112]) ).
tff(c_42480,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_37964,c_37951,c_42467,c_10]) ).
tff(c_42485,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42480,c_110]) ).
tff(c_42470,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42464,c_114]) ).
tff(c_42511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42485,c_42412,c_37950,c_42470,c_12]) ).
tff(c_42512,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_42462]) ).
tff(c_42525,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_42412,c_37950,c_12]) ).
tff(c_42526,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_42525]) ).
tff(c_42531,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42526,c_110]) ).
tff(c_42575,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_42531,c_37964,c_37951,c_10]) ).
tff(c_42540,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41875,c_42405,c_80]) ).
tff(c_42541,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_204,c_42540]) ).
tff(c_42552,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_41883,c_6]) ).
tff(c_42604,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_42552,c_37961,c_40]) ).
tff(c_42605,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_42604]) ).
tff(c_590,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_42702,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41891,c_765,c_37961,c_42575,c_765,c_42541,c_42605,c_42131,c_590]) ).
tff(c_42703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_200,c_194,c_42702]) ).
tff(c_42704,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_42525]) ).
tff(c_42742,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_42512,c_42704,c_64]) ).
tff(c_42743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_42731,c_42742]) ).
tff(c_42744,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_41890]) ).
tff(c_42757,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42744,c_96]) ).
tff(c_42758,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_42757]) ).
tff(c_42759,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_42758]) ).
tff(c_42782,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42744,c_42759,c_92]) ).
tff(c_42783,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_37965,c_42782]) ).
tff(c_42788,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42783,c_166]) ).
tff(c_42804,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41875,c_80]) ).
tff(c_42805,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_42804]) ).
tff(c_42806,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_42805]) ).
tff(c_42813,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42806,c_162]) ).
tff(c_42856,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_42813,c_42788,c_37950,c_12]) ).
tff(c_42770,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_37967,c_4]) ).
tff(c_42771,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_42770]) ).
tff(c_42765,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42759,c_178]) ).
tff(c_42842,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_42765,c_37952,c_14]) ).
tff(c_42843,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_42842]) ).
tff(c_42762,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42759,c_136]) ).
tff(c_42748,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42744,c_140]) ).
tff(c_42794,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_42762,c_37965,c_42748,c_26]) ).
tff(c_42831,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_64]) ).
tff(c_42832,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_42765,c_42813,c_42831]) ).
tff(c_42866,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42794,c_42832,c_37961,c_34]) ).
tff(c_42867,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_42866]) ).
tff(c_404,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_42974,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42856,c_42771,c_41875,c_42843,c_37961,c_42867,c_42794,c_42744,c_404]) ).
tff(c_42975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_202,c_42974]) ).
tff(c_42976,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_42842]) ).
tff(c_43002,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_42976,c_42832,c_60]) ).
tff(c_43003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_42788,c_204,c_43002]) ).
tff(c_43004,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_42805]) ).
tff(c_43009,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43004,c_150]) ).
tff(c_43064,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_43009,c_37964,c_37951,c_10]) ).
tff(c_43005,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_42805]) ).
tff(c_42789,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42783,c_168]) ).
tff(c_43017,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_43005,c_42789,c_41881,c_20]) ).
tff(c_43029,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_42765,c_37952,c_14]) ).
tff(c_43030,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_43029]) ).
tff(c_608,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_43172,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42744,c_765,c_37961,c_43064,c_43017,c_41875,c_43030,c_42783,c_608]) ).
tff(c_43173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_196,c_198,c_43172]) ).
tff(c_43174,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_43029]) ).
tff(c_43178,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43174,c_112]) ).
tff(c_43219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43009,c_37964,c_37951,c_43178,c_10]) ).
tff(c_43220,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_42770]) ).
tff(c_43332,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_43220,c_37961,c_40]) ).
tff(c_43333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_41883,c_194,c_198,c_43332]) ).
tff(c_43334,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_42758]) ).
tff(c_43336,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_43334]) ).
tff(c_43363,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42744,c_43336,c_88]) ).
tff(c_43364,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_41884,c_202,c_43363]) ).
tff(c_43369,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43364,c_164]) ).
tff(c_43395,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_37967,c_43369,c_4]) ).
tff(c_43400,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43395,c_102]) ).
tff(c_43438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_37966,c_41883,c_43400,c_6]) ).
tff(c_43439,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_43334]) ).
tff(c_43472,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42744,c_43439,c_88]) ).
tff(c_43473,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_41884,c_202,c_43472]) ).
tff(c_43445,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43439,c_168]) ).
tff(c_42751,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42744,c_192]) ).
tff(c_43451,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_37953,c_42751,c_24]) ).
tff(c_43461,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43451,c_41875,c_80]) ).
tff(c_43462,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_43445,c_43461]) ).
tff(c_43546,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43473,c_43462,c_37961,c_34]) ).
tff(c_43547,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_43546]) ).
tff(c_43487,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42744,c_43439,c_43473,c_92]) ).
tff(c_43488,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_43487]) ).
tff(c_43654,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42744,c_765,c_37961,c_43547,c_43488,c_43451,c_41875,c_43488,c_618]) ).
tff(c_43655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_204,c_198,c_43654]) ).
tff(c_43656,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_37960]) ).
tff(c_43658,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_43656]) ).
tff(c_43662,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43658,c_146]) ).
tff(c_43670,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37951,c_43662,c_10]) ).
tff(c_43671,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_43670]) ).
tff(c_43675,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43671,c_154]) ).
tff(c_45578,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_45579,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_45578]) ).
tff(c_45582,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45579,c_140]) ).
tff(c_43674,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43671,c_150]) ).
tff(c_43677,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43671,c_110]) ).
tff(c_43676,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43671,c_112]) ).
tff(c_43694,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43676,c_37952,c_14]) ).
tff(c_43695,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_43694]) ).
tff(c_43698,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43695,c_170]) ).
tff(c_43664,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43658,c_100]) ).
tff(c_44169,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_43698,c_43664,c_6]) ).
tff(c_44173,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44169,c_176]) ).
tff(c_43682,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_43674,c_80]) ).
tff(c_43683,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_43682]) ).
tff(c_43689,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43683,c_180]) ).
tff(c_43699,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43695,c_178]) ).
tff(c_43990,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43699,c_92]) ).
tff(c_43991,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_43990]) ).
tff(c_43995,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43991,c_142]) ).
tff(c_43919,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_43698,c_43664,c_6]) ).
tff(c_43923,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43919,c_176]) ).
tff(c_43825,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_43826,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_43825]) ).
tff(c_43832,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43826,c_192]) ).
tff(c_43717,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43699,c_92]) ).
tff(c_43718,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_43717]) ).
tff(c_43721,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43718,c_140]) ).
tff(c_43686,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43683,c_126]) ).
tff(c_43705,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43686,c_20]) ).
tff(c_43706,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_43705]) ).
tff(c_43729,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43683,c_43706,c_72]) ).
tff(c_43730,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_37953,c_202,c_198,c_43729]) ).
tff(c_43735,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43730,c_156]) ).
tff(c_43663,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43658,c_152]) ).
tff(c_43763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43675,c_43721,c_43735,c_43663,c_26]) ).
tff(c_43765,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_43717]) ).
tff(c_43708,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43706,c_130]) ).
tff(c_43777,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_43708,c_37953,c_24]) ).
tff(c_43807,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43777,c_37946,c_765,c_90]) ).
tff(c_43808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43765,c_196,c_198,c_204,c_43807]) ).
tff(c_43809,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_43705]) ).
tff(c_43811,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_43809]) ).
tff(c_43814,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43811,c_130]) ).
tff(c_43905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_43832,c_37953,c_43814,c_24]) ).
tff(c_43906,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_43825]) ).
tff(c_43912,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43906,c_144]) ).
tff(c_43973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43689,c_43699,c_43923,c_43912,c_30]) ).
tff(c_43974,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_43809]) ).
tff(c_43983,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43974,c_168]) ).
tff(c_43700,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43695,c_114]) ).
tff(c_44039,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_43677,c_43700,c_37950,c_12]) ).
tff(c_44043,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44039,c_166]) ).
tff(c_44062,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_43995,c_43983,c_44043,c_28]) ).
tff(c_43994,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43991,c_140]) ).
tff(c_44013,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_43675,c_43994,c_43663,c_26]) ).
tff(c_44100,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43991,c_44062,c_44013,c_84]) ).
tff(c_44101,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_44100]) ).
tff(c_44079,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_43698,c_43664,c_6]) ).
tff(c_44141,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43991,c_44101,c_43991,c_44079,c_44101,c_43991,c_43991,c_738]) ).
tff(c_44142,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_43990]) ).
tff(c_44144,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_44142]) ).
tff(c_44155,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44144,c_96]) ).
tff(c_44156,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_43689,c_204,c_44155]) ).
tff(c_44179,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44156,c_44144,c_88]) ).
tff(c_44180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37954,c_44173,c_202,c_198,c_44179]) ).
tff(c_44181,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_44142]) ).
tff(c_44188,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44181,c_164]) ).
tff(c_43981,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43974,c_160]) ).
tff(c_43665,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43658,c_98]) ).
tff(c_44230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_44188,c_43981,c_43665,c_4]) ).
tff(c_44231,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_43694]) ).
tff(c_44636,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44231,c_114]) ).
tff(c_45181,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_43677,c_37950,c_44636,c_12]) ).
tff(c_45185,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45181,c_158]) ).
tff(c_44233,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_44236,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44233,c_140]) ).
tff(c_44256,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43686,c_20]) ).
tff(c_44257,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_44256]) ).
tff(c_44260,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44257,c_122]) ).
tff(c_44290,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_43675,c_44236,c_43663,c_26]) ).
tff(c_44296,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44290,c_156]) ).
tff(c_43661,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43658,c_148]) ).
tff(c_44301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43674,c_44260,c_44296,c_43661,c_18]) ).
tff(c_44302,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_44256]) ).
tff(c_44304,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_44302]) ).
tff(c_44316,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43674,c_43661,c_18]) ).
tff(c_44317,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_44316]) ).
tff(c_44339,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43683,c_44304,c_44317,c_72]) ).
tff(c_44340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37953,c_202,c_194,c_198,c_44339]) ).
tff(c_44341,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_44316]) ).
tff(c_44349,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44341,c_156]) ).
tff(c_44386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43675,c_44236,c_44349,c_43663,c_26]) ).
tff(c_44387,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_44302]) ).
tff(c_44393,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44387,c_160]) ).
tff(c_44521,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_44393,c_43665,c_4]) ).
tff(c_44525,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44521,c_158]) ).
tff(c_44248,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44231,c_114]) ).
tff(c_44538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43677,c_44525,c_37950,c_44248,c_12]) ).
tff(c_44540,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_44541,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43686,c_20]) ).
tff(c_44542,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_44541]) ).
tff(c_44544,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44542,c_130]) ).
tff(c_44600,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_765,c_82]) ).
tff(c_44601,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_44600]) ).
tff(c_44602,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_44601]) ).
tff(c_44613,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44602,c_37946,c_765,c_90]) ).
tff(c_44614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_44544,c_198,c_204,c_44613]) ).
tff(c_44615,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_44601]) ).
tff(c_44628,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44615,c_37946,c_765,c_90]) ).
tff(c_44629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44540,c_196,c_198,c_204,c_44628]) ).
tff(c_44630,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_44541]) ).
tff(c_44644,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_44630]) ).
tff(c_44647,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44644,c_130]) ).
tff(c_45023,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_765,c_82]) ).
tff(c_45024,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_44647,c_194,c_200,c_45023]) ).
tff(c_44733,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_44540,c_37954,c_32]) ).
tff(c_44539,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_44656,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_44539]) ).
tff(c_44667,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43683,c_44644,c_72]) ).
tff(c_44668,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_37953,c_202,c_194,c_44667]) ).
tff(c_758,plain,
( ( op(op(e0,op(e0,e0)),op(e0,e0)) != e2 )
| ( op(e0,op(e0,e0)) != e1 )
| ( op(e0,e0) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_724]) ).
tff(c_44858,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44733,c_44656,c_44733,c_44668,c_44733,c_44656,c_44733,c_758]) ).
tff(c_44859,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_44539]) ).
tff(c_44861,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_44859]) ).
tff(c_44867,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44861,c_176]) ).
tff(c_44956,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_44867,c_43664,c_6]) ).
tff(c_44874,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_43665,c_4]) ).
tff(c_44875,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_44874]) ).
tff(c_44887,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44875,c_158]) ).
tff(c_44944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43677,c_44887,c_37950,c_44636,c_12]) ).
tff(c_44945,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_44874]) ).
tff(c_44951,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44945,c_102]) ).
tff(c_44965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44956,c_44951]) ).
tff(c_44966,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_44859]) ).
tff(c_45051,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45024,c_44966,c_96]) ).
tff(c_45052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_43689,c_204,c_43675,c_45051]) ).
tff(c_45053,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_44630]) ).
tff(c_45059,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45053,c_160]) ).
tff(c_45203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_45185,c_45059,c_43665,c_4]) ).
tff(c_45204,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_43682]) ).
tff(c_45216,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45204,c_72]) ).
tff(c_45217,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_37953,c_202,c_45216]) ).
tff(c_45218,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_45217]) ).
tff(c_45223,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45218,c_172]) ).
tff(c_45434,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_45223,c_43664,c_6]) ).
tff(c_45439,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45434,c_176]) ).
tff(c_45229,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_45230,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_45229]) ).
tff(c_45211,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45204,c_168]) ).
tff(c_45241,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45230,c_96]) ).
tff(c_45242,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_45211,c_43675,c_45241]) ).
tff(c_45233,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45230,c_140]) ).
tff(c_45288,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_43675,c_45233,c_43663,c_26]) ).
tff(c_45335,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45230,c_45242,c_45288,c_84]) ).
tff(c_45336,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_45335]) ).
tff(c_45418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45218,c_45204,c_45218,c_45336,c_45204,c_45218,c_45218,c_742]) ).
tff(c_45419,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_45229]) ).
tff(c_45451,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45419,c_92]) ).
tff(c_45452,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_45439,c_45451]) ).
tff(c_45453,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_45452]) ).
tff(c_45456,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45453,c_134]) ).
tff(c_45486,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43671,c_43658,c_42]) ).
tff(c_45487,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_45456,c_204,c_196,c_45486]) ).
tff(c_45491,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45487,c_128]) ).
tff(c_45426,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45419,c_192]) ).
tff(c_45506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_45491,c_37953,c_45426,c_24]) ).
tff(c_45507,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_45452]) ).
tff(c_45513,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45507,c_156]) ).
tff(c_45221,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45218,c_124]) ).
tff(c_45566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43674,c_45513,c_45221,c_43661,c_18]) ).
tff(c_45567,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_45217]) ).
tff(c_45573,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45567,c_156]) ).
tff(c_45631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43675,c_45582,c_45573,c_43663,c_26]) ).
tff(c_45632,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_45578]) ).
tff(c_45830,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_43675,c_45573,c_43663,c_26]) ).
tff(c_45927,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45632,c_45830,c_45632,c_45567,c_45830,c_45632,c_45632,c_758]) ).
tff(c_45928,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_43670]) ).
tff(c_45935,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45928,c_112]) ).
tff(c_47120,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_47089,c_45935,c_37952,c_14]) ).
tff(c_47086,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47084,c_136]) ).
tff(c_45934,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45928,c_154]) ).
tff(c_47108,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_47086,c_45934,c_43663,c_26]) ).
tff(c_47113,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47108,c_156]) ).
tff(c_45941,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_45947,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45941,c_180]) ).
tff(c_45945,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45941,c_174]) ).
tff(c_46580,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_45945,c_45935,c_37952,c_14]) ).
tff(c_45964,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_43664,c_6]) ).
tff(c_45965,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_45964]) ).
tff(c_45969,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45965,c_176]) ).
tff(c_45987,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_45945,c_45935,c_37952,c_14]) ).
tff(c_45991,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45987,c_178]) ).
tff(c_46303,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_45947,c_45969,c_45991,c_30]) ).
tff(c_45970,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45965,c_102]) ).
tff(c_45998,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_765,c_90]) ).
tff(c_45999,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_45998]) ).
tff(c_46000,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_45999]) ).
tff(c_46005,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46000,c_192]) ).
tff(c_45944,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45941,c_126]) ).
tff(c_46010,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_45944,c_20]) ).
tff(c_46011,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_46010]) ).
tff(c_45975,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_45928,c_64]) ).
tff(c_45976,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_45945,c_204,c_45975]) ).
tff(c_46021,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46011,c_45976,c_50]) ).
tff(c_46022,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_43665,c_46021]) ).
tff(c_45952,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_45934,c_43663,c_26]) ).
tff(c_45953,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_45952]) ).
tff(c_46076,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46000,c_46022,c_45953,c_88]) ).
tff(c_46077,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_46076]) ).
tff(c_734,plain,
( ( op(op(e0,op(e0,e0)),op(e0,e0)) != e3 )
| ( op(e0,op(e0,e0)) != e2 )
| ( op(e0,e0) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_652]) ).
tff(c_46130,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46000,c_46077,c_46000,c_45987,c_46077,c_46000,c_46000,c_734]) ).
tff(c_46131,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_46010]) ).
tff(c_46133,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_46131]) ).
tff(c_46136,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46133,c_130]) ).
tff(c_46183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_46005,c_37953,c_46136,c_24]) ).
tff(c_46184,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_46131]) ).
tff(c_46193,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46184,c_160]) ).
tff(c_46208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_45970,c_46193,c_43665,c_4]) ).
tff(c_46209,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_45999]) ).
tff(c_46222,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45976,c_50]) ).
tff(c_46223,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_43665,c_46222]) ).
tff(c_46224,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_46223]) ).
tff(c_46227,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46224,c_142]) ).
tff(c_46234,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46209,c_37946,c_765,c_82]) ).
tff(c_46235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46227,c_196,c_194,c_200,c_46234]) ).
tff(c_46236,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_46223]) ).
tff(c_46383,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45941,c_45965,c_45965,c_45928,c_46303,c_46209,c_46236,c_46303,c_490]) ).
tff(c_46384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_202,c_196,c_46383]) ).
tff(c_46385,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_45964]) ).
tff(c_46391,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46385,c_102]) ).
tff(c_46703,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_46391,c_43665,c_4]) ).
tff(c_46390,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46385,c_176]) ).
tff(c_46397,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45941,c_72]) ).
tff(c_46398,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_37953,c_202,c_46397]) ).
tff(c_46399,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_46398]) ).
tff(c_46405,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46399,c_168]) ).
tff(c_46430,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_46431,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_46430]) ).
tff(c_46441,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46431,c_45953,c_88]) ).
tff(c_46442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_46390,c_46405,c_202,c_46441]) ).
tff(c_46443,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_46430]) ).
tff(c_46457,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46443,c_45953,c_88]) ).
tff(c_46458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_46390,c_46405,c_202,c_46457]) ).
tff(c_46459,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_46398]) ).
tff(c_46653,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45941,c_46459,c_76]) ).
tff(c_46654,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_46653]) ).
tff(c_46655,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_46654]) ).
tff(c_46730,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46655,c_45941,c_46459,c_68]) ).
tff(c_46731,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_46730]) ).
tff(c_45936,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45928,c_110]) ).
tff(c_46585,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46580,c_114]) ).
tff(c_46681,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_45936,c_37950,c_46585,c_12]) ).
tff(c_45956,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45953,c_134]) ).
tff(c_46472,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_45956,c_28]) ).
tff(c_46473,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_46472]) ).
tff(c_46479,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46473,c_164]) ).
tff(c_46517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_46479,c_46391,c_43665,c_4]) ).
tff(c_46518,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_46472]) ).
tff(c_46520,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_46518]) ).
tff(c_46524,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46520,c_142]) ).
tff(c_46542,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_46524,c_32]) ).
tff(c_46546,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46542,c_144]) ).
tff(c_46532,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_45945,c_45935,c_37952,c_14]) ).
tff(c_46564,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45941,c_46532,c_46385,c_74]) ).
tff(c_46565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46546,c_204,c_196,c_198,c_46564]) ).
tff(c_46566,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_46518]) ).
tff(c_408,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_46811,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46580,c_46703,c_46459,c_46580,c_45928,c_46731,c_46681,c_46566,c_408]) ).
tff(c_46812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_198,c_202,c_46811]) ).
tff(c_46814,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_46654]) ).
tff(c_46584,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46580,c_178]) ).
tff(c_46592,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46566,c_45953,c_92]) ).
tff(c_46593,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_46592]) ).
tff(c_46594,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_46593]) ).
tff(c_46641,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46594,c_46566,c_45953,c_84]) ).
tff(c_46642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_46584,c_194,c_200,c_46641]) ).
tff(c_46644,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_46593]) ).
tff(c_46815,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_46644,c_37954,c_32]) ).
tff(c_46833,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46815,c_37946,c_765,c_90]) ).
tff(c_46834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_46814,c_198,c_204,c_46833]) ).
tff(c_46835,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_45952]) ).
tff(c_46892,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46835,c_96]) ).
tff(c_46893,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_45947,c_202,c_46892]) ).
tff(c_46897,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_46893,c_166]) ).
tff(c_46919,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_45945,c_45935,c_37952,c_14]) ).
tff(c_46940,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_46919,c_45928,c_64]) ).
tff(c_46941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_46897,c_204,c_46940]) ).
tff(c_46942,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_46957,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_46942]) ).
tff(c_46959,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46957,c_132]) ).
tff(c_47065,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_37946,c_765,c_82]) ).
tff(c_47066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_46959,c_194,c_200,c_47065]) ).
tff(c_47067,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_46942]) ).
tff(c_47069,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_47067]) ).
tff(c_47131,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47069,c_72]) ).
tff(c_47132,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_37953,c_198,c_47113,c_47131]) ).
tff(c_47137,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47132,c_160]) ).
tff(c_47214,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_47137,c_43665,c_4]) ).
tff(c_46952,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_192]) ).
tff(c_47154,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_46952,c_37953,c_24]) ).
tff(c_47163,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47154,c_47069,c_47132,c_80]) ).
tff(c_47164,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_47163]) ).
tff(c_422,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_47284,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47120,c_47214,c_47164,c_47120,c_47108,c_47154,c_47214,c_47108,c_422]) ).
tff(c_47285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_202,c_196,c_47284]) ).
tff(c_47287,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_47083]) ).
tff(c_46951,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_144]) ).
tff(c_47076,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47069,c_172]) ).
tff(c_47338,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_47076,c_43664,c_6]) ).
tff(c_47342,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47338,c_176]) ).
tff(c_47387,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_47287,c_46951,c_47342,c_30]) ).
tff(c_47456,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_47387,c_46946,c_47338,c_47387,c_46946,c_46946,c_738]) ).
tff(c_47457,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_47067]) ).
tff(c_47465,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47457,c_172]) ).
tff(c_47838,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_47465,c_43664,c_6]) ).
tff(c_47466,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47457,c_180]) ).
tff(c_47471,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_45934,c_43663,c_26]) ).
tff(c_47472,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_47471]) ).
tff(c_47475,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47472,c_134]) ).
tff(c_46950,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_142]) ).
tff(c_47501,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_47475,c_46950,c_28]) ).
tff(c_47502,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_47501]) ).
tff(c_47507,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47502,c_164]) ).
tff(c_47512,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_47507,c_43665,c_4]) ).
tff(c_47517,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47512,c_102]) ).
tff(c_47547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_47517,c_47465,c_43664,c_6]) ).
tff(c_47548,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_47501]) ).
tff(c_47581,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_47548,c_47472,c_88]) ).
tff(c_47582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_47466,c_194,c_202,c_47581]) ).
tff(c_47583,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_47471]) ).
tff(c_47854,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_37946,c_765,c_82]) ).
tff(c_47855,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_47854]) ).
tff(c_47824,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_47583,c_96]) ).
tff(c_47825,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_47824]) ).
tff(c_47826,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_47825]) ).
tff(c_47993,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46946,c_765,c_47838,c_45928,c_47583,c_47855,c_47855,c_47826,c_618]) ).
tff(c_47994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_202,c_196,c_47993]) ).
tff(c_47995,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_47825]) ).
tff(c_48000,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47995,c_166]) ).
tff(c_48087,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_48000,c_45936,c_37950,c_12]) ).
tff(c_45933,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45928,c_150]) ).
tff(c_47462,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47457,c_124]) ).
tff(c_48055,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_45933,c_47462,c_43661,c_18]) ).
tff(c_760,plain,
( ( op(op(e2,op(e2,e2)),op(e2,e2)) != e0 )
| ( op(e2,op(e2,e2)) != e1 )
| ( op(e2,e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_48157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48087,c_45928,c_48087,c_48055,c_48087,c_45928,c_48087,c_760]) ).
tff(c_48158,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_46945]) ).
tff(c_49287,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48158,c_37946,c_765,c_82]) ).
tff(c_49288,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_49287]) ).
tff(c_49084,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_45934,c_43663,c_26]) ).
tff(c_49085,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_49084]) ).
tff(c_49091,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49085,c_156]) ).
tff(c_48170,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_45935,c_37952,c_14]) ).
tff(c_48171,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_48170]) ).
tff(c_48176,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48171,c_178]) ).
tff(c_48165,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48158,c_192]) ).
tff(c_48926,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_48165,c_37954,c_32]) ).
tff(c_48772,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_43665,c_4]) ).
tff(c_48773,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_48772]) ).
tff(c_48779,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48773,c_102]) ).
tff(c_48177,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48171,c_114]) ).
tff(c_48453,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_48177,c_45936,c_37950,c_12]) ).
tff(c_48402,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_43664,c_6]) ).
tff(c_48403,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_48402]) ).
tff(c_48475,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_48403,c_43658,c_40]) ).
tff(c_48476,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_48475]) ).
tff(c_48426,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_48165,c_37954,c_32]) ).
tff(c_48271,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_48165,c_37954,c_32]) ).
tff(c_48162,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48158,c_132]) ).
tff(c_48182,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_48162,c_46942]) ).
tff(c_48183,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_48182]) ).
tff(c_48194,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48158,c_48183,c_72]) ).
tff(c_48195,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_48194]) ).
tff(c_48196,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_48195]) ).
tff(c_48207,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48158,c_48183,c_48196,c_80]) ).
tff(c_48208,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_48207]) ).
tff(c_48212,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48208,c_156]) ).
tff(c_48217,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_48212,c_45934,c_43663,c_26]) ).
tff(c_762,plain,
( ( op(op(e0,op(e0,e0)),op(e0,e0)) != e1 )
| ( op(e0,op(e0,e0)) != e2 )
| ( op(e0,e0) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_736]) ).
tff(c_48366,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48271,c_48217,c_48271,c_45928,c_48271,c_48217,c_48271,c_762]) ).
tff(c_48367,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_48195]) ).
tff(c_48372,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48367,c_156]) ).
tff(c_48391,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_45934,c_48372,c_43663,c_26]) ).
tff(c_48414,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48391,c_88]) ).
tff(c_48415,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_37954,c_202,c_48414]) ).
tff(c_48416,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_48415]) ).
tff(c_48465,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48426,c_48416,c_48391,c_92]) ).
tff(c_48466,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_48465]) ).
tff(c_48377,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48158,c_48183,c_48367,c_80]) ).
tff(c_48378,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_48377]) ).
tff(c_450,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_48556,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48453,c_48476,c_48466,c_37946,c_48367,c_48183,c_48378,c_48416,c_450]) ).
tff(c_48557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_198,c_204,c_48556]) ).
tff(c_48559,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_48415]) ).
tff(c_48588,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48183,c_48171,c_48403,c_70]) ).
tff(c_48589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48559,c_194,c_202,c_198,c_48588]) ).
tff(c_48590,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_48402]) ).
tff(c_48594,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48590,c_176]) ).
tff(c_48601,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_48165,c_37954,c_32]) ).
tff(c_48595,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48590,c_102]) ).
tff(c_48649,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_48595,c_43665,c_4]) ).
tff(c_48611,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48601,c_48391,c_92]) ).
tff(c_48612,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_48611]) ).
tff(c_48613,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_48612]) ).
tff(c_48636,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48601,c_48613,c_48391,c_88]) ).
tff(c_48637,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_48636]) ).
tff(c_48745,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48171,c_48649,c_48637,c_37946,c_48367,c_48183,c_48183,c_48613,c_450]) ).
tff(c_48746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_198,c_196,c_48745]) ).
tff(c_48747,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_48612]) ).
tff(c_48768,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48601,c_48747,c_48391,c_88]) ).
tff(c_48769,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_48594,c_198,c_202,c_48768]) ).
tff(c_48770,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_48182]) ).
tff(c_48788,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48770,c_172]) ).
tff(c_48833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_48779,c_48788,c_43664,c_6]) ).
tff(c_48834,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_48772]) ).
tff(c_48852,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48834,c_102]) ).
tff(c_48862,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_48852,c_43664,c_6]) ).
tff(c_48866,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48862,c_176]) ).
tff(c_48851,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48834,c_164]) ).
tff(c_48930,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48926,c_142]) ).
tff(c_48939,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_48851,c_48930,c_28]) ).
tff(c_48940,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_48939]) ).
tff(c_48871,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_45934,c_43663,c_26]) ).
tff(c_48872,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_48871]) ).
tff(c_48878,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48872,c_156]) ).
tff(c_48883,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48158,c_48770,c_80]) ).
tff(c_48884,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_48878,c_48883]) ).
tff(c_48912,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48158,c_48770,c_48884,c_68]) ).
tff(c_48913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_43661,c_48912]) ).
tff(c_48914,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_48871]) ).
tff(c_48977,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48926,c_48940,c_48914,c_92]) ).
tff(c_48978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_48866,c_204,c_198,c_48977]) ).
tff(c_48979,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_48939]) ).
tff(c_49017,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48926,c_48979,c_48914,c_96]) ).
tff(c_49018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_48176,c_204,c_202,c_49017]) ).
tff(c_49019,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_48170]) ).
tff(c_49023,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49019,c_174]) ).
tff(c_49073,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_49023,c_48162,c_46942]) ).
tff(c_49077,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49073,c_124]) ).
tff(c_49137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49091,c_45933,c_49077,c_43661,c_18]) ).
tff(c_49138,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_49084]) ).
tff(c_49370,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49288,c_49138,c_49288,c_45928,c_49288,c_49138,c_49288,c_762]) ).
tff(c_49371,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_43656]) ).
tff(c_49377,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49371,c_152]) ).
tff(c_52314,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_52315,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_52314]) ).
tff(c_52318,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52315,c_140]) ).
tff(c_50890,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37952,c_14]) ).
tff(c_50891,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_50890]) ).
tff(c_50896,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50891,c_114]) ).
tff(c_49375,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49371,c_148]) ).
tff(c_49385,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_37953,c_49375,c_72]) ).
tff(c_49386,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_49385]) ).
tff(c_49389,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49386,c_126]) ).
tff(c_49397,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49389,c_20]) ).
tff(c_49398,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_49397]) ).
tff(c_49404,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49398,c_168]) ).
tff(c_49403,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49398,c_162]) ).
tff(c_49379,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49371,c_98]) ).
tff(c_50404,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_49379,c_4]) ).
tff(c_50405,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_50404]) ).
tff(c_50410,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50405,c_102]) ).
tff(c_49378,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49371,c_100]) ).
tff(c_49937,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_49403,c_37950,c_12]) ).
tff(c_49938,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_49937]) ).
tff(c_49951,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49938,c_158]) ).
tff(c_49983,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_49951,c_49379,c_4]) ).
tff(c_49987,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49983,c_102]) ).
tff(c_50034,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_49378,c_49987,c_6]) ).
tff(c_49392,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49386,c_180]) ).
tff(c_49935,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49392,c_30]) ).
tff(c_49936,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_49935]) ).
tff(c_49944,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49936,c_178]) ).
tff(c_49953,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49938,c_114]) ).
tff(c_49992,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_49944,c_49953,c_37952,c_14]) ).
tff(c_49952,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49938,c_166]) ).
tff(c_49961,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49936,c_92]) ).
tff(c_49962,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_49952,c_49961]) ).
tff(c_49963,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_49962]) ).
tff(c_49967,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49963,c_140]) ).
tff(c_49954,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49938,c_110]) ).
tff(c_49996,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49992,c_112]) ).
tff(c_50004,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_49954,c_37951,c_49996,c_10]) ).
tff(c_50016,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50004,c_49371,c_42]) ).
tff(c_50017,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_49967,c_204,c_198,c_50016]) ).
tff(c_49973,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49963,c_49936,c_88]) ).
tff(c_49974,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_49377,c_49973]) ).
tff(c_496,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_50138,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49386,c_50034,c_49992,c_49938,c_50034,c_50017,c_49938,c_49974,c_496]) ).
tff(c_50139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_196,c_198,c_50138]) ).
tff(c_50140,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_49962]) ).
tff(c_50145,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50140,c_140]) ).
tff(c_49452,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_49379,c_4]) ).
tff(c_49453,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_49452]) ).
tff(c_49624,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49371,c_49453,c_49371,c_49398,c_49453,c_49371,c_49371,c_748]) ).
tff(c_49625,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_49452]) ).
tff(c_49632,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49625,c_102]) ).
tff(c_49913,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_49378,c_49632,c_6]) ).
tff(c_49411,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_49412,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_49411]) ).
tff(c_49409,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_37953,c_24]) ).
tff(c_49410,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_49409]) ).
tff(c_49416,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49410,c_192]) ).
tff(c_49431,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49412,c_49416]) ).
tff(c_49432,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_49411]) ).
tff(c_49447,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49432,c_144]) ).
tff(c_49840,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49392,c_49447,c_30]) ).
tff(c_49841,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_49840]) ).
tff(c_49847,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49841,c_178]) ).
tff(c_49861,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_49378,c_49632,c_6]) ).
tff(c_49865,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49861,c_170]) ).
tff(c_49445,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49432,c_140]) ).
tff(c_49637,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49371,c_34]) ).
tff(c_49638,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_49445,c_194,c_49637]) ).
tff(c_49639,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_49638]) ).
tff(c_49649,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49392,c_49447,c_30]) ).
tff(c_49650,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_49649]) ).
tff(c_49656,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49650,c_178]) ).
tff(c_49630,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49625,c_158]) ).
tff(c_49663,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_49403,c_37950,c_49630,c_12]) ).
tff(c_49668,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49663,c_114]) ).
tff(c_49687,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_49656,c_49668,c_37952,c_14]) ).
tff(c_49653,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49650,c_136]) ).
tff(c_49700,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_49653,c_49377,c_49445,c_26]) ).
tff(c_660,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_49820,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49432,c_765,c_49639,c_49687,c_49371,c_49639,c_49700,c_49432,c_660]) ).
tff(c_49821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_204,c_49820]) ).
tff(c_49822,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_49649]) ).
tff(c_49829,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49822,c_176]) ).
tff(c_49837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_49829,c_49378,c_49632,c_6]) ).
tff(c_49838,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_49638]) ).
tff(c_49855,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49838,c_112]) ).
tff(c_49890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49847,c_49865,c_37952,c_49855,c_14]) ).
tff(c_49891,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_49840]) ).
tff(c_49907,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49891,c_176]) ).
tff(c_49923,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49913,c_49907]) ).
tff(c_49924,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_49409]) ).
tff(c_49929,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49924,c_192]) ).
tff(c_50186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_50145,c_37954,c_49929,c_32]) ).
tff(c_50187,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_49937]) ).
tff(c_50201,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50187,c_158]) ).
tff(c_50266,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_49371,c_44]) ).
tff(c_50267,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_50266]) ).
tff(c_50268,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_50267]) ).
tff(c_50281,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_50268,c_49371,c_36]) ).
tff(c_50282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_50201,c_194,c_50281]) ).
tff(c_50283,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_50267]) ).
tff(c_50389,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49371,c_50283,c_49371,c_49398,c_50283,c_49371,c_49371,c_748]) ).
tff(c_50390,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_49935]) ).
tff(c_50392,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_50390]) ).
tff(c_50398,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50392,c_176]) ).
tff(c_50490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_50410,c_49378,c_50398,c_6]) ).
tff(c_50491,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_50404]) ).
tff(c_50495,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50491,c_158]) ).
tff(c_50503,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_49403,c_37950,c_50495,c_12]) ).
tff(c_50508,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50503,c_114]) ).
tff(c_50399,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50392,c_178]) ).
tff(c_50516,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_50508,c_37952,c_50399,c_14]) ).
tff(c_50667,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50503,c_50516,c_50503,c_50392,c_50516,c_50503,c_50503,c_730]) ).
tff(c_50668,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_50390]) ).
tff(c_49928,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49924,c_128]) ).
tff(c_50676,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50668,c_176]) ).
tff(c_50682,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_49403,c_37950,c_12]) ).
tff(c_50683,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_50682]) ).
tff(c_50686,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50683,c_158]) ).
tff(c_50789,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_50686,c_49379,c_4]) ).
tff(c_50794,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50789,c_102]) ).
tff(c_50820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_50676,c_49378,c_50794,c_6]) ).
tff(c_50821,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_50682]) ).
tff(c_50829,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50821,c_110]) ).
tff(c_50673,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50668,c_136]) ).
tff(c_50834,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50673,c_49377,c_26]) ).
tff(c_50835,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_50834]) ).
tff(c_50861,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50835,c_49371,c_34]) ).
tff(c_50862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_49928,c_50829,c_194,c_50861]) ).
tff(c_50863,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_50834]) ).
tff(c_50886,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50668,c_50863,c_96]) ).
tff(c_50887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_49404,c_200,c_50886]) ).
tff(c_50888,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_49397]) ).
tff(c_50901,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_50888]) ).
tff(c_50907,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50901,c_162]) ).
tff(c_50936,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_50896,c_37950,c_50907,c_12]) ).
tff(c_50940,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50936,c_158]) ).
tff(c_50906,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50901,c_160]) ).
tff(c_51006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_50940,c_49379,c_50906,c_4]) ).
tff(c_51007,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_50888]) ).
tff(c_51015,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51007,c_162]) ).
tff(c_51014,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51007,c_160]) ).
tff(c_51023,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_51014,c_49379,c_4]) ).
tff(c_51027,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51023,c_158]) ).
tff(c_51061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50896,c_51015,c_37950,c_51027,c_12]) ).
tff(c_51062,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_50890]) ).
tff(c_51871,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_51062]) ).
tff(c_52070,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51871,c_112]) ).
tff(c_51064,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37951,c_10]) ).
tff(c_51065,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_51064]) ).
tff(c_51067,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51065,c_150]) ).
tff(c_51070,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51065,c_110]) ).
tff(c_51098,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_50888]) ).
tff(c_51103,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51098,c_160]) ).
tff(c_51075,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_51062]) ).
tff(c_51078,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51075,c_170]) ).
tff(c_51159,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_49378,c_51078,c_6]) ).
tff(c_51195,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_51159,c_49371,c_36]) ).
tff(c_51196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_51103,c_194,c_51195]) ).
tff(c_51197,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_50888]) ).
tff(c_51203,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51197,c_122]) ).
tff(c_51085,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51065,c_49371,c_34]) ).
tff(c_51086,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_51085]) ).
tff(c_51087,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_51086]) ).
tff(c_51224,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51087,c_51065,c_49371,c_42]) ).
tff(c_51225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_51203,c_204,c_198,c_51224]) ).
tff(c_51226,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_51086]) ).
tff(c_51243,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51226,c_122]) ).
tff(c_51228,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_49379,c_4]) ).
tff(c_51229,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_51228]) ).
tff(c_51233,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51229,c_160]) ).
tff(c_51261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51243,c_51233,c_50888]) ).
tff(c_51262,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_51228]) ).
tff(c_51268,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51262,c_160]) ).
tff(c_51299,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_51268,c_50888]) ).
tff(c_51355,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49386,c_51299,c_51226,c_80]) ).
tff(c_51356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_204,c_200,c_51355]) ).
tff(c_51357,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_51062]) ).
tff(c_51363,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51357,c_114]) ).
tff(c_51369,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_50888]) ).
tff(c_51377,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51369,c_162]) ).
tff(c_51425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51070,c_51363,c_37950,c_51377,c_12]) ).
tff(c_51426,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_50888]) ).
tff(c_51430,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51426,c_130]) ).
tff(c_51440,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_51430,c_37953,c_24]) ).
tff(c_51462,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51440,c_49386,c_51426,c_80]) ).
tff(c_51463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_51067,c_51462]) ).
tff(c_51464,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_51064]) ).
tff(c_52095,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_52070,c_51464]) ).
tff(c_52100,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52095,c_154]) ).
tff(c_51876,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51871,c_112]) ).
tff(c_51892,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_51876,c_51464]) ).
tff(c_51466,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_49379,c_4]) ).
tff(c_51467,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_51466]) ).
tff(c_51473,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51467,c_102]) ).
tff(c_51728,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_51729,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_51728]) ).
tff(c_51735,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51729,c_192]) ).
tff(c_51471,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51467,c_160]) ).
tff(c_51716,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_51471,c_50888]) ).
tff(c_51720,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51716,c_130]) ).
tff(c_51762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_51735,c_37953,c_51720,c_24]) ).
tff(c_51763,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_51728]) ).
tff(c_51769,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51763,c_144]) ).
tff(c_51478,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_51464]) ).
tff(c_51710,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51478,c_112]) ).
tff(c_51776,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_51710,c_51062]) ).
tff(c_51781,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51776,c_178]) ).
tff(c_51501,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_51471,c_50888]) ).
tff(c_51505,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51501,c_130]) ).
tff(c_51533,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_51534,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_51533]) ).
tff(c_51544,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51534,c_37946,c_765,c_82]) ).
tff(c_51545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_51505,c_194,c_200,c_51544]) ).
tff(c_51546,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_51533]) ).
tff(c_51472,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51467,c_164]) ).
tff(c_51479,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49392,c_30]) ).
tff(c_51480,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_51479]) ).
tff(c_51580,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51546,c_51480,c_92]) ).
tff(c_51581,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_51472,c_51580]) ).
tff(c_612,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_51702,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51546,c_765,c_49371,c_51478,c_51501,c_49386,c_51581,c_51546,c_612]) ).
tff(c_51703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_204,c_51702]) ).
tff(c_51704,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_51479]) ).
tff(c_51787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51769,c_51781,c_51704]) ).
tff(c_51788,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_51464]) ).
tff(c_51794,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51788,c_112]) ).
tff(c_51813,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_51794,c_51062]) ).
tff(c_51817,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51813,c_170]) ).
tff(c_51845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_51473,c_49378,c_51817,c_6]) ).
tff(c_51846,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_51466]) ).
tff(c_51859,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49392,c_30]) ).
tff(c_51860,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_51859]) ).
tff(c_51863,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51860,c_138]) ).
tff(c_51872,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_51873,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_51872]) ).
tff(c_51886,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51873,c_142]) ).
tff(c_51853,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51846,c_164]) ).
tff(c_51972,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_51863,c_51886,c_51853,c_28]) ).
tff(c_50889,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_49397]) ).
tff(c_51903,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49386,c_80]) ).
tff(c_51904,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_50889,c_51903]) ).
tff(c_51952,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51904,c_51892,c_49371,c_34]) ).
tff(c_51953,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_51952]) ).
tff(c_52064,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51892,c_51846,c_51972,c_37946,c_765,c_51904,c_49371,c_51953,c_430]) ).
tff(c_52065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_200,c_194,c_52064]) ).
tff(c_52066,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_51872]) ).
tff(c_51852,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51846,c_160]) ).
tff(c_52106,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_51852,c_50888]) ).
tff(c_52118,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52106,c_51846,c_54]) ).
tff(c_52119,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_37950,c_194,c_52118]) ).
tff(c_52145,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52066,c_51860,c_52119,c_92]) ).
tff(c_52146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_52100,c_52145]) ).
tff(c_52147,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_51062]) ).
tff(c_52152,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52147,c_170]) ).
tff(c_51854,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51846,c_102]) ).
tff(c_52211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_52152,c_49378,c_51854,c_6]) ).
tff(c_52212,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_51859]) ).
tff(c_52214,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_52212]) ).
tff(c_52221,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52214,c_178]) ).
tff(c_52238,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_52221,c_51062]) ).
tff(c_52243,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52238,c_170]) ).
tff(c_52249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_52243,c_49378,c_51854,c_6]) ).
tff(c_52250,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_52212]) ).
tff(c_52257,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52250,c_176]) ).
tff(c_52289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_52257,c_49378,c_51854,c_6]) ).
tff(c_52290,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_49385]) ).
tff(c_52616,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52290,c_80]) ).
tff(c_52617,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_52305,c_202,c_52616]) ).
tff(c_52326,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_52306,c_37951,c_10]) ).
tff(c_52327,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_52326]) ).
tff(c_52332,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52327,c_110]) ).
tff(c_52309,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52303,c_114]) ).
tff(c_52337,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_52309,c_37950,c_12]) ).
tff(c_52338,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_52337]) ).
tff(c_52339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52332,c_52338]) ).
tff(c_52340,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_52337]) ).
tff(c_52459,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52290,c_80]) ).
tff(c_52460,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_52305,c_202,c_52459]) ).
tff(c_52589,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52340,c_52327,c_52340,c_52460,c_52327,c_52340,c_52340,c_760]) ).
tff(c_52590,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_52326]) ).
tff(c_52673,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52617,c_52590,c_49371,c_42]) ).
tff(c_52674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52318,c_204,c_196,c_198,c_52673]) ).
tff(c_52675,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_52314]) ).
tff(c_52679,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52675,c_140]) ).
tff(c_52720,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_52693,c_49377,c_52679,c_26]) ).
tff(c_52726,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52720,c_156]) ).
tff(c_52731,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52290,c_80]) ).
tff(c_52732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_52305,c_202,c_52726,c_52731]) ).
tff(c_52733,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_52688]) ).
tff(c_52740,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52733,c_110]) ).
tff(c_52794,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52290,c_80]) ).
tff(c_52795,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_52305,c_202,c_52794]) ).
tff(c_52745,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_52309,c_37950,c_12]) ).
tff(c_52746,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_52745]) ).
tff(c_52750,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52746,c_166]) ).
tff(c_52308,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52303,c_178]) ).
tff(c_52681,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52675,c_144]) ).
tff(c_52756,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_52308,c_52681,c_30]) ).
tff(c_52757,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_52756]) ).
tff(c_52762,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52757,c_176]) ).
tff(c_52749,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52746,c_158]) ).
tff(c_52768,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_52749,c_49379,c_4]) ).
tff(c_52773,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52768,c_102]) ).
tff(c_52780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_52762,c_49378,c_52773,c_6]) ).
tff(c_52781,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_52756]) ).
tff(c_52844,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52675,c_52781,c_92]) ).
tff(c_52845,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_52750,c_52844]) ).
tff(c_596,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_52986,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52675,c_765,c_49371,c_52733,c_765,c_52795,c_52845,c_52675,c_596]) ).
tff(c_52987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_200,c_204,c_52986]) ).
tff(c_52988,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_52745]) ).
tff(c_52990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52740,c_52988]) ).
tff(c_52991,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_52302]) ).
tff(c_52995,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_52991]) ).
tff(c_53936,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37946,c_52995,c_64]) ).
tff(c_53937,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_53936]) ).
tff(c_53938,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_53937]) ).
tff(c_53942,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53938,c_110]) ).
tff(c_53000,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52995,c_170]) ).
tff(c_53586,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_49378,c_53000,c_6]) ).
tff(c_53590,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53586,c_172]) ).
tff(c_52998,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52995,c_174]) ).
tff(c_53007,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_32]) ).
tff(c_53008,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_53007]) ).
tff(c_53327,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52290,c_80]) ).
tff(c_53328,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_53327]) ).
tff(c_53329,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_53328]) ).
tff(c_53335,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53329,c_180]) ).
tff(c_53013,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53008,c_144]) ).
tff(c_53001,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52995,c_178]) ).
tff(c_53373,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_53335,c_53013,c_53001,c_30]) ).
tff(c_53478,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53008,c_53373,c_53008,c_52995,c_53373,c_53008,c_53008,c_734]) ).
tff(c_53479,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_53328]) ).
tff(c_53570,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52290,c_53479,c_68]) ).
tff(c_53571,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_52998,c_194,c_200,c_53570]) ).
tff(c_53596,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53571,c_52290,c_53479,c_76]) ).
tff(c_53597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_53590,c_198,c_204,c_53596]) ).
tff(c_53598,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_53007]) ).
tff(c_53749,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_49378,c_53000,c_6]) ).
tff(c_53602,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53598,c_140]) ).
tff(c_53797,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49377,c_53602,c_26]) ).
tff(c_53798,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_53797]) ).
tff(c_53802,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53798,c_154]) ).
tff(c_52999,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52995,c_112]) ).
tff(c_53825,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_53802,c_37951,c_52999,c_10]) ).
tff(c_52297,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52290,c_168]) ).
tff(c_53786,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53598,c_88]) ).
tff(c_53787,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_52297,c_49377,c_53786]) ).
tff(c_53605,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53598,c_192]) ).
tff(c_53739,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_37953,c_53605,c_24]) ).
tff(c_53923,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53598,c_765,c_53749,c_53825,c_53787,c_53739,c_52290,c_53787,c_618]) ).
tff(c_53924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_202,c_198,c_53923]) ).
tff(c_53925,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_53797]) ).
tff(c_53930,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53925,c_154]) ).
tff(c_53955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53942,c_53930,c_37951,c_52999,c_10]) ).
tff(c_53956,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_53937]) ).
tff(c_53611,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_49379,c_4]) ).
tff(c_53612,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_53611]) ).
tff(c_53725,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_53612,c_49371,c_36]) ).
tff(c_53726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_53000,c_196,c_194,c_53725]) ).
tff(c_53727,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_53611]) ).
tff(c_53775,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49371,c_34]) ).
tff(c_53776,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_53602,c_52999,c_194,c_53775]) ).
tff(c_53957,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_53937]) ).
tff(c_53002,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52995,c_114]) ).
tff(c_53993,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_53957,c_37950,c_53002,c_12]) ).
tff(c_54077,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53956,c_53727,c_53776,c_52995,c_53993,c_52290,c_53925,c_53598,c_412]) ).
tff(c_54078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_198,c_204,c_54077]) ).
tff(c_54079,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_52991]) ).
tff(c_54085,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_170]) ).
tff(c_54827,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_54085,c_49378,c_6]) ).
tff(c_54832,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54827,c_102]) ).
tff(c_54847,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_49379,c_54832,c_4]) ).
tff(c_54084,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_112]) ).
tff(c_54092,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_37953,c_24]) ).
tff(c_54093,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_54092]) ).
tff(c_54098,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54093,c_128]) ).
tff(c_54099,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54093,c_192]) ).
tff(c_54104,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49371,c_34]) ).
tff(c_54105,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_54104]) ).
tff(c_54106,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_54105]) ).
tff(c_54110,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54106,c_140]) ).
tff(c_54128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_54099,c_37954,c_54110,c_32]) ).
tff(c_54129,plain,
( ( op(e1,e3) = e3 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_54105]) ).
tff(c_54131,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_54129]) ).
tff(c_54134,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54131,c_150]) ).
tff(c_54202,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_54098,c_49375,c_54134,c_18]) ).
tff(c_54206,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54202,c_124]) ).
tff(c_54083,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_174]) ).
tff(c_52291,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_49385]) ).
tff(c_54174,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_54085,c_49378,c_6]) ).
tff(c_54178,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54174,c_172]) ).
tff(c_54213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54206,c_54083,c_52291,c_54178,c_22]) ).
tff(c_54215,plain,
op(e2,e3) != e3,
inference(splitRight,[status(thm)],[c_54129]) ).
tff(c_54263,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_54084,c_37951,c_54215,c_10]) ).
tff(c_54268,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54263,c_110]) ).
tff(c_54087,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_114]) ).
tff(c_54354,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_54268,c_54087,c_37950,c_12]) ).
tff(c_54086,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_178]) ).
tff(c_54130,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_54105]) ).
tff(c_54236,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49377,c_54130,c_26]) ).
tff(c_54237,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_54236]) ).
tff(c_54248,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54237,c_92]) ).
tff(c_54249,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_54099,c_54086,c_204,c_54248]) ).
tff(c_54255,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54249,c_164]) ).
tff(c_54225,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_54085,c_49378,c_6]) ).
tff(c_54231,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54225,c_102]) ).
tff(c_54260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_54255,c_49379,c_54231,c_4]) ).
tff(c_54261,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_54236]) ).
tff(c_54449,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54354,c_54263,c_54354,c_54261,c_54354,c_54263,c_54354,c_756]) ).
tff(c_54450,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_54092]) ).
tff(c_54457,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54450,c_192]) ).
tff(c_54724,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_37954,c_54457,c_32]) ).
tff(c_54746,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54086,c_30]) ).
tff(c_54747,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_54746]) ).
tff(c_54785,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54724,c_54747,c_88]) ).
tff(c_54786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_52297,c_49377,c_54785]) ).
tff(c_54787,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_54746]) ).
tff(c_54789,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_54787]) ).
tff(c_54800,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54724,c_54789,c_88]) ).
tff(c_54801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_52297,c_49377,c_54800]) ).
tff(c_54802,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_54787]) ).
tff(c_54862,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54802,c_54079,c_54827,c_78]) ).
tff(c_54863,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_54862]) ).
tff(c_54463,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37951,c_10]) ).
tff(c_54464,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_54463]) ).
tff(c_54469,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54464,c_110]) ).
tff(c_54538,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_49379,c_4]) ).
tff(c_54539,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_54538]) ).
tff(c_54455,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54450,c_132]) ).
tff(c_54571,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_54083,c_52291,c_54455,c_22]) ).
tff(c_54456,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54450,c_128]) ).
tff(c_54468,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54464,c_154]) ).
tff(c_54474,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_54468,c_49377,c_26]) ).
tff(c_54475,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_54474]) ).
tff(c_54511,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54475,c_54464,c_49371,c_34]) ).
tff(c_54512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_54456,c_200,c_194,c_54511]) ).
tff(c_54513,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_54474]) ).
tff(c_54526,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54513,c_88]) ).
tff(c_54527,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_37954,c_52297,c_194,c_54526]) ).
tff(c_54705,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_54539,c_54571,c_54079,c_54513,c_54450,c_52290,c_54527,c_426]) ).
tff(c_54706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_200,c_198,c_54705]) ).
tff(c_54707,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_54538]) ).
tff(c_54711,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54707,c_158]) ).
tff(c_54721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54469,c_54087,c_37950,c_54711,c_12]) ).
tff(c_54722,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_54463]) ).
tff(c_54735,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_54084,c_54722]) ).
tff(c_54741,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54735,c_110]) ).
tff(c_54815,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_54087,c_37950,c_54741,c_12]) ).
tff(c_54982,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_54847,c_54863,c_54079,c_54815,c_52290,c_54802,c_54724,c_412]) ).
tff(c_54983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_202,c_54982]) ).
tff(c_54984,plain,
( ( op(e3,e0) = e1 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_54986,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_54984]) ).
tff(c_54991,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_182]) ).
tff(c_54993,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_188]) ).
tff(c_100851,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54993,c_32]) ).
tff(c_100852,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_100851]) ).
tff(c_100857,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_192]) ).
tff(c_85478,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_85490,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85478,c_158]) ).
tff(c_85493,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85478,c_166]) ).
tff(c_54988,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_108]) ).
tff(c_74758,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54988,c_6]) ).
tff(c_74759,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_74758]) ).
tff(c_74762,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74759,c_170]) ).
tff(c_74765,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74759,c_100]) ).
tff(c_74764,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74759,c_102]) ).
tff(c_54989,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_106]) ).
tff(c_77137,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74764,c_54989,c_4]) ).
tff(c_77138,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_77137]) ).
tff(c_77310,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_77138,c_40]) ).
tff(c_77311,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_77310]) ).
tff(c_77200,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77138,c_160]) ).
tff(c_77201,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77138,c_164]) ).
tff(c_74761,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74759,c_172]) ).
tff(c_77139,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74761,c_22]) ).
tff(c_77140,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_77139]) ).
tff(c_77151,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77140,c_132]) ).
tff(c_54998,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_55004,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_190]) ).
tff(c_55002,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_120]) ).
tff(c_55003,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_186]) ).
tff(c_62496,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_62513,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_192]) ).
tff(c_55001,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_116]) ).
tff(c_54990,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_104]) ).
tff(c_62529,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54990,c_2]) ).
tff(c_62530,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_62529]) ).
tff(c_62536,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62530,c_98]) ).
tff(c_62518,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_62524,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62518,c_130]) ).
tff(c_55000,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_118]) ).
tff(c_55009,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55000,c_12]) ).
tff(c_55010,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_55009]) ).
tff(c_55012,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_158]) ).
tff(c_55016,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_110]) ).
tff(c_60952,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_10]) ).
tff(c_60953,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_60952]) ).
tff(c_55015,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_114]) ).
tff(c_55021,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_55865,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_152]) ).
tff(c_55184,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_14]) ).
tff(c_55185,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_55184]) ).
tff(c_55189,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55185,c_112]) ).
tff(c_55027,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_152]) ).
tff(c_55029,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_156]) ).
tff(c_55044,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55029,c_18]) ).
tff(c_55045,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_55044]) ).
tff(c_55047,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55045,c_148]) ).
tff(c_55022,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54988,c_6]) ).
tff(c_55023,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_55022]) ).
tff(c_55038,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55023,c_102]) ).
tff(c_55121,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_55038,c_55012,c_54989,c_4]) ).
tff(c_55126,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55121,c_98]) ).
tff(c_55159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55027,c_55047,c_55126,c_54990,c_2]) ).
tff(c_55160,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_55044]) ).
tff(c_55162,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_55160]) ).
tff(c_55167,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55162,c_150]) ).
tff(c_55197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_55189,c_55167,c_10]) ).
tff(c_55198,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_55184]) ).
tff(c_740,plain,
( ( op(op(e2,op(e2,e2)),op(e2,e2)) != e0 )
| ( op(e2,op(e2,e2)) != e3 )
| ( op(e2,e2) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_670]) ).
tff(c_55491,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_55198,c_55010,c_55023,c_55010,c_55198,c_55010,c_740]) ).
tff(c_55492,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_55160]) ).
tff(c_55497,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55492,c_148]) ).
tff(c_55619,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_55023,c_40]) ).
tff(c_55620,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_55497,c_55619]) ).
tff(c_55499,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55492,c_150]) ).
tff(c_55509,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_55499,c_10]) ).
tff(c_55514,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55509,c_112]) ).
tff(c_55540,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_55514,c_14]) ).
tff(c_55545,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55540,c_178]) ).
tff(c_55506,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_54986,c_90]) ).
tff(c_55507,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_55506]) ).
tff(c_55508,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_55507]) ).
tff(c_55024,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_134]) ).
tff(c_55014,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_166]) ).
tff(c_55528,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_55023,c_40]) ).
tff(c_55529,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_55497,c_55528]) ).
tff(c_55534,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55529,c_164]) ).
tff(c_55564,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_55024,c_55014,c_55534,c_28]) ).
tff(c_55605,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55508,c_55564,c_55021,c_88]) ).
tff(c_55606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_55545,c_194,c_202,c_55605]) ).
tff(c_55608,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_55507]) ).
tff(c_55696,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_55608,c_54993,c_32]) ).
tff(c_55013,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_162]) ).
tff(c_55501,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55492,c_122]) ).
tff(c_55643,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_55608,c_54993,c_32]) ).
tff(c_55631,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_84]) ).
tff(c_55632,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_54993,c_200,c_55631]) ).
tff(c_55633,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_55632]) ).
tff(c_55673,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55643,c_55633,c_55021,c_92]) ).
tff(c_55674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_55014,c_204,c_55673]) ).
tff(c_55675,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_55632]) ).
tff(c_55682,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55675,c_168]) ).
tff(c_55687,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_55013,c_55501,c_55682,c_20]) ).
tff(c_444,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_55858,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_55620,c_55696,c_54998,c_54998,c_55687,c_55675,c_55696,c_444]) ).
tff(c_55859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_202,c_200,c_55858]) ).
tff(c_55860,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_55022]) ).
tff(c_56773,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_55860]) ).
tff(c_56780,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56773,c_100]) ).
tff(c_56785,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_55865,c_56780,c_54990,c_2]) ).
tff(c_56777,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56773,c_170]) ).
tff(c_56880,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_56777,c_14]) ).
tff(c_55862,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_134]) ).
tff(c_55863,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_136]) ).
tff(c_55966,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55013,c_20]) ).
tff(c_55967,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_55966]) ).
tff(c_55971,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55967,c_126]) ).
tff(c_55867,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_156]) ).
tff(c_55872,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55867,c_18]) ).
tff(c_55873,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_55872]) ).
tff(c_55875,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55873,c_148]) ).
tff(c_55884,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_55860]) ).
tff(c_55891,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55884,c_100]) ).
tff(c_55951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55865,c_55875,c_55891,c_54990,c_2]) ).
tff(c_55952,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_55860]) ).
tff(c_56066,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55952,c_78]) ).
tff(c_56067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55863,c_55971,c_55002,c_204,c_56066]) ).
tff(c_56068,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_55966]) ).
tff(c_56070,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_56068]) ).
tff(c_56076,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56070,c_168]) ).
tff(c_56371,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_55862,c_55014,c_56076,c_28]) ).
tff(c_56081,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_55952,c_40]) ).
tff(c_56082,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_56081]) ).
tff(c_56083,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_56082]) ).
tff(c_56087,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56083,c_98]) ).
tff(c_56159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55865,c_55875,c_56087,c_54990,c_2]) ).
tff(c_56160,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_56082]) ).
tff(c_56165,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56160,c_146]) ).
tff(c_56188,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_56165,c_10]) ).
tff(c_56192,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56188,c_112]) ).
tff(c_48,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_56218,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_55952,c_56160,c_48]) ).
tff(c_56219,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_56218]) ).
tff(c_56175,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55004,c_54993,c_32]) ).
tff(c_56176,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_56175]) ).
tff(c_55959,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55952,c_176]) ).
tff(c_56197,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_14]) ).
tff(c_56198,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_56197]) ).
tff(c_56202,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56198,c_178]) ).
tff(c_56230,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_55863,c_55959,c_56202,c_30]) ).
tff(c_56355,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_56219,c_56176,c_54998,c_55952,c_55873,c_56230,c_56176,c_436]) ).
tff(c_56356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_196,c_200,c_56355]) ).
tff(c_56357,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_56197]) ).
tff(c_56359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56192,c_56357]) ).
tff(c_56360,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_56175]) ).
tff(c_56364,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56360,c_142]) ).
tff(c_56382,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56371,c_56364]) ).
tff(c_56383,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_56068]) ).
tff(c_56387,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56383,c_130]) ).
tff(c_55876,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55873,c_128]) ).
tff(c_56398,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_54986,c_90]) ).
tff(c_56399,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_55876,c_204,c_196,c_56398]) ).
tff(c_56468,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56399,c_54998,c_54986,c_86]) ).
tff(c_56469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_56387,c_202,c_194,c_56468]) ).
tff(c_56470,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_55872]) ).
tff(c_56472,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_56470]) ).
tff(c_56778,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56773,c_176]) ).
tff(c_56479,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56472,c_122]) ).
tff(c_56484,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55013,c_20]) ).
tff(c_56485,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_56484]) ).
tff(c_56490,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56485,c_126]) ).
tff(c_56496,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_55860]) ).
tff(c_56499,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_172]) ).
tff(c_56478,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56472,c_124]) ).
tff(c_56539,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_56490,c_56499,c_56478,c_22]) ).
tff(c_56500,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_170]) ).
tff(c_56508,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_56500,c_14]) ).
tff(c_56560,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56539,c_56508,c_56496,c_78]) ).
tff(c_56561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55863,c_204,c_200,c_202,c_56560]) ).
tff(c_56562,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_55860]) ).
tff(c_56571,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56562,c_100]) ).
tff(c_56578,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_56562,c_40]) ).
tff(c_56579,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_56578]) ).
tff(c_56580,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_56579]) ).
tff(c_56585,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56580,c_98]) ).
tff(c_56619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55865,c_56571,c_56585,c_54990,c_2]) ).
tff(c_56620,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_56579]) ).
tff(c_56625,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56620,c_146]) ).
tff(c_56477,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56472,c_150]) ).
tff(c_56770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_56625,c_56477,c_10]) ).
tff(c_56771,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_56484]) ).
tff(c_56795,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_56479,c_56771]) ).
tff(c_56802,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56795,c_168]) ).
tff(c_56807,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_88]) ).
tff(c_56808,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_56778,c_56802,c_202,c_56807]) ).
tff(c_56829,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56808,c_55021,c_92]) ).
tff(c_56830,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_55014,c_204,c_56829]) ).
tff(c_56835,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56830,c_180]) ).
tff(c_56776,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56773,c_172]) ).
tff(c_56889,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_56835,c_56776,c_56478,c_22]) ).
tff(c_242,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_56982,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56773,c_56785,c_56880,c_55010,c_56785,c_56472,c_56889,c_56830,c_242]) ).
tff(c_56983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_196,c_204,c_56982]) ).
tff(c_56984,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_55860]) ).
tff(c_56992,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56984,c_100]) ).
tff(c_57010,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_55865,c_56992,c_54990,c_2]) ).
tff(c_57014,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57010,c_146]) ).
tff(c_57026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_57014,c_56477,c_10]) ).
tff(c_57027,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_56470]) ).
tff(c_57033,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57027,c_150]) ).
tff(c_57042,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_55860]) ).
tff(c_57046,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57042,c_170]) ).
tff(c_57103,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_57046,c_14]) ).
tff(c_57108,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57103,c_112]) ).
tff(c_57135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_57033,c_57108,c_10]) ).
tff(c_57136,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_55860]) ).
tff(c_57144,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_57136,c_100]) ).
tff(c_57031,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57027,c_148]) ).
tff(c_57172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55865,c_57144,c_57031,c_54990,c_2]) ).
tff(c_57173,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_57175,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_57173]) ).
tff(c_57181,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57175,c_154]) ).
tff(c_58237,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_57181,c_10]) ).
tff(c_58241,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58237,c_112]) ).
tff(c_57187,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54988,c_6]) ).
tff(c_57188,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_57187]) ).
tff(c_57190,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57188,c_172]) ).
tff(c_58134,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57175,c_92]) ).
tff(c_58135,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55014,c_196,c_58134]) ).
tff(c_58136,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_58135]) ).
tff(c_58141,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58136,c_192]) ).
tff(c_57193,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57188,c_102]) ).
tff(c_57199,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55013,c_20]) ).
tff(c_57200,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_57199]) ).
tff(c_57203,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57200,c_122]) ).
tff(c_57194,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57188,c_100]) ).
tff(c_57387,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_57194,c_54990,c_2]) ).
tff(c_57388,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_57387]) ).
tff(c_57391,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_57388,c_148]) ).
tff(c_57260,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_57181,c_10]) ).
tff(c_57264,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57260,c_146]) ).
tff(c_57246,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_57194,c_54990,c_2]) ).
tff(c_57247,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_57246]) ).
tff(c_57250,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_57247,c_148]) ).
tff(c_57211,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57200,c_72]) ).
tff(c_57212,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_57211]) ).
tff(c_57213,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_57212]) ).
tff(c_57217,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57213,c_128]) ).
tff(c_57182,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57175,c_156]) ).
tff(c_57257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57203,c_57250,c_57217,c_57182,c_18]) ).
tff(c_57258,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_57246]) ).
tff(c_57271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57264,c_57258]) ).
tff(c_57272,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_57212]) ).
tff(c_57274,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_57272]) ).
tff(c_57279,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57274,c_150]) ).
tff(c_57315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_57279,c_57181,c_10]) ).
tff(c_57317,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_57272]) ).
tff(c_57398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57203,c_57391,c_57317,c_57182,c_18]) ).
tff(c_57399,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_57387]) ).
tff(c_57406,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57399,c_98]) ).
tff(c_57456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57193,c_55012,c_57406,c_54989,c_4]) ).
tff(c_57457,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_57199]) ).
tff(c_57459,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_57457]) ).
tff(c_57496,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_57194,c_54990,c_2]) ).
tff(c_57497,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_57496]) ).
tff(c_57460,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_57476,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57460,c_192]) ).
tff(c_57483,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57175,c_88]) ).
tff(c_57484,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_57476,c_194,c_57483]) ).
tff(c_57485,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_57484]) ).
tff(c_732,plain,
( ( op(op(e3,op(e3,e3)),op(e3,e3)) != e2 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,e3) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_57636,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57497,c_57188,c_57497,c_57485,c_57497,c_57188,c_57497,c_732]) ).
tff(c_57637,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_57496]) ).
tff(c_57644,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57637,c_98]) ).
tff(c_57708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57193,c_55012,c_57644,c_54989,c_4]) ).
tff(c_57709,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_57484]) ).
tff(c_57715,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57709,c_164]) ).
tff(c_57757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57193,c_55012,c_57715,c_54989,c_4]) ).
tff(c_57758,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_57862,plain,
( ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57459,c_57758]) ).
tff(c_57863,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_57862]) ).
tff(c_57864,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_57863]) ).
tff(c_57868,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57864,c_150]) ).
tff(c_57952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_57868,c_57181,c_10]) ).
tff(c_57953,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_57863]) ).
tff(c_57959,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57953,c_174]) ).
tff(c_58007,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_57959,c_14]) ).
tff(c_58119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_58007,c_55010,c_57188,c_58007,c_55010,c_55010,c_740]) ).
tff(c_58120,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_57457]) ).
tff(c_58124,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58120,c_130]) ).
tff(c_54992,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_184]) ).
tff(c_58162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55003,c_58141,c_58124,c_54992,c_24]) ).
tff(c_58163,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_58135]) ).
tff(c_58170,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58163,c_180]) ).
tff(c_58127,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58120,c_126]) ).
tff(c_58203,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_57190,c_58170,c_58127,c_22]) ).
tff(c_58208,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58203,c_174]) ).
tff(c_58246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_58241,c_58208,c_14]) ).
tff(c_58247,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_57187]) ).
tff(c_58249,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_58247]) ).
tff(c_58253,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58249,c_170]) ).
tff(c_58367,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_58249,c_48]) ).
tff(c_58368,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_58367]) ).
tff(c_58369,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_58368]) ).
tff(c_58374,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58369,c_98]) ).
tff(c_58252,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58249,c_172]) ).
tff(c_58261,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55013,c_20]) ).
tff(c_58262,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_58261]) ).
tff(c_58266,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58262,c_160]) ).
tff(c_58255,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58249,c_102]) ).
tff(c_58328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58266,c_55012,c_58255,c_54989,c_4]) ).
tff(c_58329,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_58261]) ).
tff(c_58331,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_58329]) ).
tff(c_58343,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58331,c_72]) ).
tff(c_58344,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_58252,c_194,c_58343]) ).
tff(c_58345,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_58344]) ).
tff(c_58349,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58345,c_128]) ).
tff(c_58379,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_58349,c_57182,c_18]) ).
tff(c_58380,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_58379]) ).
tff(c_58427,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_58253,c_14]) ).
tff(c_58355,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57175,c_92]) ).
tff(c_58356,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55014,c_196,c_58355]) ).
tff(c_58357,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_58356]) ).
tff(c_58362,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58357,c_144]) ).
tff(c_58254,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58249,c_176]) ).
tff(c_57178,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57175,c_136]) ).
tff(c_58401,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_58362,c_58254,c_57178,c_30]) ).
tff(c_58460,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58357,c_58401,c_57175,c_88]) ).
tff(c_58461,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_58460]) ).
tff(c_58256,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58249,c_100]) ).
tff(c_58390,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_58374,c_58256,c_54990,c_2]) ).
tff(c_58561,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_58369,c_58380,c_58427,c_58461,c_58345,c_58390,c_57175,c_422]) ).
tff(c_58562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_202,c_196,c_58561]) ).
tff(c_58563,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_58379]) ).
tff(c_58567,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58563,c_148]) ).
tff(c_58607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58374,c_58567,c_58256,c_54990,c_2]) ).
tff(c_58608,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_58368]) ).
tff(c_58612,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58608,c_148]) ).
tff(c_58337,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58331,c_126]) ).
tff(c_58621,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_58252,c_58337,c_22]) ).
tff(c_58622,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_58621]) ).
tff(c_58627,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58622,c_180]) ).
tff(c_58636,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58627,c_58362,c_58254,c_57178,c_30]) ).
tff(c_58637,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_58621]) ).
tff(c_58642,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58637,c_124]) ).
tff(c_58707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58612,c_58642,c_58349,c_57182,c_18]) ).
tff(c_58709,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_58356]) ).
tff(c_58350,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58345,c_192]) ).
tff(c_58733,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55004,c_58709,c_58350,c_54993,c_32]) ).
tff(c_58734,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_58344]) ).
tff(c_58739,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58734,c_150]) ).
tff(c_58755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_58739,c_57181,c_10]) ).
tff(c_58756,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_58329]) ).
tff(c_58760,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58756,c_130]) ).
tff(c_58793,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_55003,c_58760,c_54992,c_24]) ).
tff(c_58798,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58793,c_128]) ).
tff(c_58761,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58756,c_122]) ).
tff(c_58804,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_58798,c_58761,c_57182,c_18]) ).
tff(c_58809,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58804,c_124]) ).
tff(c_58797,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58793,c_132]) ).
tff(c_58830,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_58809,c_58797,c_58252,c_22]) ).
tff(c_58834,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58830,c_174]) ).
tff(c_58850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_58253,c_58834,c_14]) ).
tff(c_58851,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_58247]) ).
tff(c_58857,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58851,c_176]) ).
tff(c_58907,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57175,c_92]) ).
tff(c_58908,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_58857,c_55014,c_196,c_58907]) ).
tff(c_58859,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58851,c_100]) ).
tff(c_58929,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_58859,c_54990,c_2]) ).
tff(c_58930,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_58929]) ).
tff(c_58935,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58930,c_98]) ).
tff(c_58865,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57175,c_88]) ).
tff(c_58866,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_58865]) ).
tff(c_58867,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_58866]) ).
tff(c_58903,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58867,c_57175,c_92]) ).
tff(c_58904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_58857,c_55014,c_196,c_58903]) ).
tff(c_58905,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_58866]) ).
tff(c_58919,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_58905]) ).
tff(c_58924,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58919,c_164]) ).
tff(c_59006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58935,c_55012,c_58924,c_54989,c_4]) ).
tff(c_59007,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_58929]) ).
tff(c_59013,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59007,c_146]) ).
tff(c_59019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_59013,c_57181,c_10]) ).
tff(c_59020,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_58905]) ).
tff(c_59025,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59020,c_178]) ).
tff(c_59302,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_59025,c_14]) ).
tff(c_59359,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58908,c_59020,c_58908,c_59302,c_58908,c_59020,c_58908,c_734]) ).
tff(c_59360,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_57173]) ).
tff(c_59362,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_59360]) ).
tff(c_60447,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_152]) ).
tff(c_59363,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54990,c_2]) ).
tff(c_59364,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_59363]) ).
tff(c_59381,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59364,c_98]) ).
tff(c_59387,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_96]) ).
tff(c_59388,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55004,c_204,c_59387]) ).
tff(c_59389,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_59388]) ).
tff(c_59395,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59389,c_180]) ).
tff(c_59380,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59364,c_100]) ).
tff(c_59400,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_59380,c_54988,c_6]) ).
tff(c_59401,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_59400]) ).
tff(c_59404,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59401,c_172]) ).
tff(c_59369,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_140]) ).
tff(c_59423,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_59369,c_54993,c_32]) ).
tff(c_59428,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59423,c_192]) ).
tff(c_59651,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_55003,c_59428,c_54992,c_24]) ).
tff(c_59411,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55013,c_20]) ).
tff(c_59412,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_59411]) ).
tff(c_59443,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_14]) ).
tff(c_59444,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_59443]) ).
tff(c_59448,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59444,c_112]) ).
tff(c_59467,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_59364,c_34]) ).
tff(c_59468,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_59467]) ).
tff(c_59469,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_59468]) ).
tff(c_59472,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59469,c_150]) ).
tff(c_59499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_59448,c_59472,c_10]) ).
tff(c_59500,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_59468]) ).
tff(c_59447,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59444,c_174]) ).
tff(c_59455,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_55003,c_59428,c_54992,c_24]) ).
tff(c_59514,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59455,c_59412,c_72]) ).
tff(c_59515,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_59447,c_202,c_59514]) ).
tff(c_59547,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59455,c_59412,c_59515,c_68]) ).
tff(c_59548,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_59547]) ).
tff(c_59636,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_54986,c_59364,c_59500,c_59515,c_59548,c_59401,c_59362,c_606]) ).
tff(c_59637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_198,c_196,c_59636]) ).
tff(c_59638,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_59443]) ).
tff(c_59643,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59638,c_112]) ).
tff(c_59665,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_59364,c_34]) ).
tff(c_59666,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_59643,c_200,c_59665]) ).
tff(c_59693,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59651,c_59412,c_59666,c_72]) ).
tff(c_59694,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_59693]) ).
tff(c_59433,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59423,c_59389,c_59362,c_84]) ).
tff(c_59434,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_59433]) ).
tff(c_59782,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59694,c_59412,c_59694,c_59434,c_59694,c_59412,c_59694,c_742]) ).
tff(c_59783,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_59411]) ).
tff(c_59814,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_59783]) ).
tff(c_59785,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_59790,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59785,c_130]) ).
tff(c_59796,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_59790,c_59783]) ).
tff(c_59803,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59796,c_168]) ).
tff(c_59810,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59389,c_59362,c_84]) ).
tff(c_59811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54993,c_200,c_59803,c_196,c_59810]) ).
tff(c_59812,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_59836,plain,
( ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59814,c_59812]) ).
tff(c_59837,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_59836]) ).
tff(c_59838,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_59837]) ).
tff(c_59843,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59838,c_124]) ).
tff(c_59820,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59814,c_126]) ).
tff(c_59915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59395,c_59404,c_59843,c_59820,c_22]) ).
tff(c_59916,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_59837]) ).
tff(c_59923,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59916,c_174]) ).
tff(c_59818,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59814,c_122]) ).
tff(c_59826,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_59364,c_34]) ).
tff(c_59827,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_59818,c_200,c_59826]) ).
tff(c_59831,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59827,c_112]) ).
tff(c_59958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_59923,c_59831,c_14]) ).
tff(c_59959,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_59783]) ).
tff(c_59965,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59959,c_160]) ).
tff(c_60007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59381,c_55012,c_59965,c_54989,c_4]) ).
tff(c_60008,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_59400]) ).
tff(c_60014,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60008,c_102]) ).
tff(c_60085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59381,c_55012,c_60014,c_54989,c_4]) ).
tff(c_60086,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_59388]) ).
tff(c_60182,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60086,c_59362,c_84]) ).
tff(c_60183,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_54993,c_200,c_196,c_60182]) ).
tff(c_60188,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60183,c_178]) ).
tff(c_60274,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_60188,c_14]) ).
tff(c_60279,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60274,c_170]) ).
tff(c_60295,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_59380,c_60279,c_54988,c_6]) ).
tff(c_60318,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60183,c_60274,c_60295,c_78]) ).
tff(c_60319,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_60318]) ).
tff(c_60307,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60183,c_60086,c_59362,c_88]) ).
tff(c_60308,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_60307]) ).
tff(c_60194,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_10]) ).
tff(c_60195,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_60194]) ).
tff(c_60198,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60195,c_150]) ).
tff(c_60204,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_54986,c_90]) ).
tff(c_60205,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_59369,c_204,c_196,c_60204]) ).
tff(c_60091,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_60086,c_168]) ).
tff(c_60097,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_60091,c_55013,c_20]) ).
tff(c_60098,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_60097]) ).
tff(c_60103,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60098,c_160]) ).
tff(c_60168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59381,c_55012,c_60103,c_54989,c_4]) ).
tff(c_60169,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_60097]) ).
tff(c_60225,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60205,c_60169,c_72]) ).
tff(c_60226,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_60198,c_60225]) ).
tff(c_60249,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60183,c_60226,c_74]) ).
tff(c_60250,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_55015,c_60249]) ).
tff(c_60259,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60183,c_60226,c_60250,c_78]) ).
tff(c_60260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_55002,c_204,c_60259]) ).
tff(c_60261,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_60194]) ).
tff(c_566,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_60438,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60319,c_60295,c_60308,c_54998,c_60261,c_60169,c_60295,c_59362,c_566]) ).
tff(c_60439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_194,c_196,c_60438]) ).
tff(c_60440,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_59363]) ).
tff(c_60900,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_60447,c_60440]) ).
tff(c_60904,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60900,c_146]) ).
tff(c_60446,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_140]) ).
tff(c_60454,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_14]) ).
tff(c_60455,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_60454]) ).
tff(c_60458,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60455,c_174]) ).
tff(c_60487,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55013,c_20]) ).
tff(c_60488,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_60487]) ).
tff(c_60492,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_60488,c_160]) ).
tff(c_60476,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_60447,c_60440]) ).
tff(c_60482,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60476,c_98]) ).
tff(c_60533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60492,c_55012,c_60482,c_54989,c_4]) ).
tff(c_60534,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_60487]) ).
tff(c_60547,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_60534]) ).
tff(c_60449,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_156]) ).
tff(c_60480,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60476,c_148]) ).
tff(c_60459,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60455,c_112]) ).
tff(c_60466,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_60459,c_10]) ).
tff(c_60471,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60466,c_150]) ).
tff(c_60536,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_60449,c_60480,c_60471,c_18]) ).
tff(c_60558,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60547,c_60536,c_72]) ).
tff(c_60559,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_60458,c_194,c_202,c_60558]) ).
tff(c_60583,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60559,c_54998,c_54986,c_90]) ).
tff(c_60584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60446,c_198,c_204,c_196,c_60583]) ).
tff(c_60585,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_60534]) ).
tff(c_60741,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_54986,c_90]) ).
tff(c_60742,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_60446,c_204,c_196,c_60741]) ).
tff(c_60775,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60742,c_60585,c_60536,c_68]) ).
tff(c_60776,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_60775]) ).
tff(c_60705,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_55012,c_60482,c_54989,c_4]) ).
tff(c_60709,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_60705,c_164]) ).
tff(c_60716,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_96]) ).
tff(c_60717,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_55004,c_60709,c_204,c_60716]) ).
tff(c_60731,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60717,c_59362,c_84]) ).
tff(c_60732,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_54993,c_200,c_196,c_60731]) ).
tff(c_60756,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60717,c_60732,c_59362,c_88]) ).
tff(c_60757,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_60756]) ).
tff(c_676,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_60861,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59362,c_54986,c_60585,c_60455,c_60536,c_60776,c_60732,c_60757,c_676]) ).
tff(c_60862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_204,c_200,c_60861]) ).
tff(c_60863,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_60454]) ).
tff(c_60881,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60863,c_112]) ).
tff(c_60936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_55016,c_60904,c_60881,c_10]) ).
tff(c_60937,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_59360]) ).
tff(c_60945,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60937,c_154]) ).
tff(c_60964,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60953,c_60945]) ).
tff(c_60965,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_60952]) ).
tff(c_61305,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60965,c_150]) ).
tff(c_60967,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60937,c_96]) ).
tff(c_60968,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55004,c_202,c_60967]) ).
tff(c_60969,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_60968]) ).
tff(c_60996,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60965,c_112]) ).
tff(c_61174,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_60996,c_14]) ).
tff(c_61184,plain,
( ( op(e3,e1) = e1 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60969,c_61174,c_74]) ).
tff(c_61185,plain,
( ( op(e3,e1) = e1 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_61184]) ).
tff(c_61186,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_61185]) ).
tff(c_60946,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60937,c_156]) ).
tff(c_60980,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_60946,c_18]) ).
tff(c_60981,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_60980]) ).
tff(c_60987,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_60981,c_122]) ).
tff(c_61001,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60981,c_72]) ).
tff(c_61002,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_61001]) ).
tff(c_61003,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_61002]) ).
tff(c_61007,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61003,c_130]) ).
tff(c_61064,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_60987,c_55013,c_61007,c_20]) ).
tff(c_61070,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61064,c_168]) ).
tff(c_61075,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61003,c_54998,c_54986,c_90]) ).
tff(c_61076,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_61075]) ).
tff(c_61125,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61076,c_60969,c_60937,c_84]) ).
tff(c_61126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_61070,c_194,c_61125]) ).
tff(c_61127,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_61002]) ).
tff(c_61129,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_61127]) ).
tff(c_61211,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61186,c_61129,c_60981,c_68]) ).
tff(c_61212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54992,c_196,c_194,c_200,c_61211]) ).
tff(c_61213,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_61185]) ).
tff(c_61219,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61213,c_100]) ).
tff(c_61240,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60937,c_60981,c_60965,c_42]) ).
tff(c_61241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_61219,c_61240]) ).
tff(c_61242,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_61127]) ).
tff(c_61259,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61242,c_174]) ).
tff(c_61298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_61259,c_60996,c_14]) ).
tff(c_61299,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_60980]) ).
tff(c_61323,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_61305,c_61299]) ).
tff(c_61327,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61323,c_148]) ).
tff(c_60944,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60937,c_152]) ).
tff(c_61334,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_61327,c_60944,c_54990,c_2]) ).
tff(c_61339,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61334,c_98]) ).
tff(c_61366,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_61339,c_55012,c_54989,c_4]) ).
tff(c_61311,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_60946,c_72]) ).
tff(c_61312,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_61311]) ).
tff(c_61317,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61312,c_130]) ).
tff(c_61355,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55013,c_61317,c_20]) ).
tff(c_61356,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_61355]) ).
tff(c_61306,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60965,c_112]) ).
tff(c_61386,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_61306,c_14]) ).
tff(c_60943,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60937,c_140]) ).
tff(c_61344,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_55004,c_60943,c_54993,c_32]) ).
tff(c_61395,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61344,c_60969,c_60937,c_84]) ).
tff(c_61396,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_61395]) ).
tff(c_61507,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_61366,c_61356,c_61386,c_54998,c_61356,c_60965,c_61396,c_408]) ).
tff(c_61508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_194,c_61507]) ).
tff(c_61509,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_61355]) ).
tff(c_61516,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61509,c_168]) ).
tff(c_61521,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61344,c_60969,c_60937,c_84]) ).
tff(c_61522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_61516,c_194,c_61521]) ).
tff(c_61523,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_61311]) ).
tff(c_61537,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_61523]) ).
tff(c_61540,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61537,c_160]) ).
tff(c_61572,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_55012,c_61540,c_54989,c_4]) ).
tff(c_61577,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61572,c_98]) ).
tff(c_61525,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_61305,c_61299]) ).
tff(c_61529,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61525,c_148]) ).
tff(c_61586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61577,c_61529,c_60944,c_54990,c_2]) ).
tff(c_61587,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_61523]) ).
tff(c_61588,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_61523]) ).
tff(c_61684,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55013,c_61588,c_20]) ).
tff(c_61685,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_61684]) ).
tff(c_61711,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61587,c_61685,c_61525,c_68]) ).
tff(c_61712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54992,c_194,c_200,c_196,c_61711]) ).
tff(c_61713,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_61684]) ).
tff(c_61755,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61587,c_61713,c_61525,c_80]) ).
tff(c_61756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55003,c_202,c_200,c_204,c_61755]) ).
tff(c_61757,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_60968]) ).
tff(c_61764,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61757,c_164]) ).
tff(c_62085,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55013,c_20]) ).
tff(c_62086,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_62085]) ).
tff(c_61763,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61757,c_168]) ).
tff(c_62107,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62086,c_61763]) ).
tff(c_62108,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_62085]) ).
tff(c_62430,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_62108]) ).
tff(c_62356,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60965,c_150]) ).
tff(c_61758,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_60968]) ).
tff(c_62137,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_60944,c_54990,c_2]) ).
tff(c_62138,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_62137]) ).
tff(c_62143,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62138,c_100]) ).
tff(c_62153,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60965,c_112]) ).
tff(c_62197,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_62153,c_14]) ).
tff(c_62214,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62197,c_78]) ).
tff(c_62215,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_61758,c_202,c_62143,c_62214]) ).
tff(c_62122,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55012,c_54989,c_4]) ).
tff(c_62123,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_62122]) ).
tff(c_62134,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62123,c_61764]) ).
tff(c_62135,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_62122]) ).
tff(c_62162,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62135,c_102]) ).
tff(c_62233,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_62143,c_62162,c_54988,c_6]) ).
tff(c_62110,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_60946,c_72]) ).
tff(c_62111,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_62110]) ).
tff(c_62117,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62111,c_192]) ).
tff(c_62188,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_55004,c_62117,c_54993,c_32]) ).
tff(c_62116,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62111,c_130]) ).
tff(c_62169,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_62116,c_62108]) ).
tff(c_568,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_62339,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62215,c_62233,c_62188,c_54998,c_60965,c_62169,c_54998,c_61757,c_568]) ).
tff(c_62340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_194,c_202,c_62339]) ).
tff(c_62341,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_62137]) ).
tff(c_62375,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62341,c_148]) ).
tff(c_61769,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_60946,c_18]) ).
tff(c_61770,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_61769]) ).
tff(c_61775,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61770,c_124]) ).
tff(c_61776,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61770,c_122]) ).
tff(c_61982,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_61776,c_55013,c_20]) ).
tff(c_61983,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_61982]) ).
tff(c_61988,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61983,c_126]) ).
tff(c_62008,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_55004,c_60943,c_54993,c_32]) ).
tff(c_62030,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62008,c_61757,c_60937,c_84]) ).
tff(c_62031,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_62030]) ).
tff(c_62036,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62031,c_180]) ).
tff(c_62045,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_61775,c_61988,c_62036,c_22]) ).
tff(c_62055,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62045,c_61983,c_61770,c_68]) ).
tff(c_62056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54992,c_196,c_194,c_200,c_62055]) ).
tff(c_62057,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_61982]) ).
tff(c_61813,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_61764,c_55012,c_54989,c_4]) ).
tff(c_61790,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61770,c_72]) ).
tff(c_61791,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_61790]) ).
tff(c_61792,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_61791]) ).
tff(c_61796,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61792,c_130]) ).
tff(c_61843,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_61776,c_55013,c_61796,c_20]) ).
tff(c_60942,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60937,c_136]) ).
tff(c_61795,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61792,c_132]) ).
tff(c_61761,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61757,c_138]) ).
tff(c_61832,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_61761,c_61775,c_55002,c_78]) ).
tff(c_61856,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61832,c_70]) ).
tff(c_61857,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_60942,c_61795,c_202,c_61856]) ).
tff(c_61978,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55010,c_61813,c_61843,c_61857,c_60965,c_61843,c_54998,c_61757,c_408]) ).
tff(c_61979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_194,c_202,c_61978]) ).
tff(c_61980,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_61791]) ).
tff(c_62070,plain,
( ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62057,c_61980]) ).
tff(c_62071,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_62070]) ).
tff(c_62075,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62071,c_174]) ).
tff(c_61785,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60965,c_112]) ).
tff(c_62082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_62075,c_61785,c_14]) ).
tff(c_62083,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_61769]) ).
tff(c_62394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62356,c_62375,c_62083]) ).
tff(c_62395,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_62110]) ).
tff(c_62443,plain,
( ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62430,c_62395]) ).
tff(c_62444,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_62443]) ).
tff(c_62448,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62444,c_174]) ).
tff(c_62412,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60965,c_112]) ).
tff(c_62464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_55015,c_62448,c_62412,c_14]) ).
tff(c_62465,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_62108]) ).
tff(c_62471,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62465,c_160]) ).
tff(c_62492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61764,c_55012,c_62471,c_54989,c_4]) ).
tff(c_62493,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_55009]) ).
tff(c_62495,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_62493]) ).
tff(c_62500,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_162]) ).
tff(c_62541,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_62524,c_62500,c_20]) ).
tff(c_62542,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_62541]) ).
tff(c_62547,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62542,c_126]) ).
tff(c_62535,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62530,c_100]) ).
tff(c_62555,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_62535,c_54988,c_6]) ).
tff(c_62556,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_62555]) ).
tff(c_62559,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62556,c_172]) ).
tff(c_62522,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62518,c_132]) ).
tff(c_62663,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_62547,c_62559,c_62522,c_22]) ).
tff(c_62669,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62663,c_180]) ).
tff(c_62501,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_166]) ).
tff(c_62548,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62542,c_168]) ).
tff(c_62567,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_62556,c_62530,c_40]) ).
tff(c_62568,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_62567]) ).
tff(c_62571,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62568,c_164]) ).
tff(c_62577,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_88]) ).
tff(c_62578,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_62571,c_62577]) ).
tff(c_62579,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_62578]) ).
tff(c_62591,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_62579,c_84]) ).
tff(c_62592,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_62501,c_62591]) ).
tff(c_62637,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_62579,c_62592,c_96]) ).
tff(c_62638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_62548,c_200,c_62637]) ).
tff(c_62639,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_62578]) ).
tff(c_62678,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_62639,c_84]) ).
tff(c_62679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_62669,c_62501,c_194,c_62678]) ).
tff(c_62680,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_62555]) ).
tff(c_62823,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_62680,c_62530,c_44]) ).
tff(c_62824,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_62823]) ).
tff(c_62532,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62530,c_148]) ).
tff(c_62503,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_110]) ).
tff(c_62785,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55001,c_62503,c_10]) ).
tff(c_62786,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_62785]) ).
tff(c_62791,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62786,c_150]) ).
tff(c_62523,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62518,c_128]) ).
tff(c_62534,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62530,c_152]) ).
tff(c_62510,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_140]) ).
tff(c_62686,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62680,c_176]) ).
tff(c_62695,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_88]) ).
tff(c_62696,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_62686,c_62695]) ).
tff(c_62697,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_62696]) ).
tff(c_62701,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62697,c_134]) ).
tff(c_62708,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_62534,c_62510,c_62701,c_26]) ).
tff(c_62714,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62708,c_156]) ).
tff(c_62809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62532,c_62791,c_62523,c_62714,c_18]) ).
tff(c_62810,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_62785]) ).
tff(c_62848,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_62532,c_62523,c_62714,c_18]) ).
tff(c_462,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_62955,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62542,c_62680,c_62824,c_62810,c_62680,c_62848,c_62530,c_62708,c_462]) ).
tff(c_62956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_194,c_200,c_62955]) ).
tff(c_62957,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_62696]) ).
tff(c_62963,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62957,c_154]) ).
tff(c_62969,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_55001,c_62963,c_62503,c_10]) ).
tff(c_62974,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62969,c_112]) ).
tff(c_62685,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62680,c_170]) ).
tff(c_62502,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_114]) ).
tff(c_62979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_62974,c_62685,c_62502,c_14]) ).
tff(c_62980,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_62541]) ).
tff(c_62998,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62980,c_160]) ).
tff(c_62982,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_62502,c_14]) ).
tff(c_62983,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_62982]) ).
tff(c_62988,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62983,c_170]) ).
tff(c_63095,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_62535,c_62988,c_54988,c_6]) ).
tff(c_63100,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63095,c_102]) ).
tff(c_63105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62536,c_62998,c_63100,c_54989,c_4]) ).
tff(c_63106,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_62982]) ).
tff(c_63420,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63106,c_170]) ).
tff(c_63136,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63106,c_178]) ).
tff(c_63108,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_62535,c_54988,c_6]) ).
tff(c_63109,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_63108]) ).
tff(c_63393,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_63109,c_62530,c_40]) ).
tff(c_63394,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_63393]) ).
tff(c_63398,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63394,c_164]) ).
tff(c_63141,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_84]) ).
tff(c_63142,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_62501,c_63141]) ).
tff(c_63143,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_63142]) ).
tff(c_63155,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63143,c_63106,c_63109,c_78]) ).
tff(c_63156,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_63155]) ).
tff(c_63123,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62980,c_122]) ).
tff(c_63169,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_62532,c_63123,c_62523,c_18]) ).
tff(c_63179,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_63109,c_62530,c_40]) ).
tff(c_63180,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_63179]) ).
tff(c_63145,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63143,c_136]) ).
tff(c_63202,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_62534,c_62510,c_63145,c_26]) ).
tff(c_558,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_63317,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63156,c_63109,c_62496,c_54998,c_62530,c_63169,c_63180,c_63202,c_558]) ).
tff(c_63318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_200,c_194,c_63317]) ).
tff(c_63319,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_63142]) ).
tff(c_63411,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_63319,c_88]) ).
tff(c_63412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_63136,c_63398,c_194,c_63411]) ).
tff(c_63413,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_63108]) ).
tff(c_63439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63420,c_63413]) ).
tff(c_63440,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_62529]) ).
tff(c_63442,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_63440]) ).
tff(c_63454,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_63442,c_48]) ).
tff(c_63455,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_63454]) ).
tff(c_63456,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_63455]) ).
tff(c_63462,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63456,c_102]) ).
tff(c_63449,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63442,c_98]) ).
tff(c_63469,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_63462,c_63449,c_54989,c_4]) ).
tff(c_63473,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63469,c_160]) ).
tff(c_63479,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_62524,c_62500,c_20]) ).
tff(c_63480,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_63479]) ).
tff(c_63779,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_63442,c_63469,c_63442,c_63480,c_63442,c_63469,c_63442,c_748]) ).
tff(c_63780,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_63479]) ).
tff(c_63782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63473,c_63780]) ).
tff(c_63783,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_63455]) ).
tff(c_63784,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_63455]) ).
tff(c_63448,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63442,c_100]) ).
tff(c_63796,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_63784,c_63448,c_54988,c_6]) ).
tff(c_63446,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63442,c_146]) ).
tff(c_64055,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_55001,c_63446,c_62503,c_10]) ).
tff(c_63787,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63783,c_160]) ).
tff(c_63813,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_63787,c_62524,c_62500,c_20]) ).
tff(c_63817,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63813,c_122]) ).
tff(c_63447,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63442,c_152]) ).
tff(c_63836,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_62510,c_63447,c_26]) ).
tff(c_63837,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_63836]) ).
tff(c_63841,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63837,c_136]) ).
tff(c_63824,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62518,c_63813,c_68]) ).
tff(c_63825,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_63824]) ).
tff(c_63826,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_63825]) ).
tff(c_63801,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63796,c_170]) ).
tff(c_63848,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_55002,c_63801,c_62502,c_14]) ).
tff(c_63883,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63826,c_63848,c_63796,c_78]) ).
tff(c_63884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63841,c_200,c_202,c_204,c_63883]) ).
tff(c_63885,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_63836]) ).
tff(c_63920,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63885,c_63442,c_42]) ).
tff(c_63921,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_63817,c_198,c_63920]) ).
tff(c_63947,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62518,c_63826,c_63813,c_80]) ).
tff(c_63948,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_63947]) ).
tff(c_64030,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_63921,c_62495,c_63948,c_63921,c_62495,c_62495,c_760]) ).
tff(c_64031,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_63825]) ).
tff(c_64037,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64031,c_156]) ).
tff(c_64042,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_62510,c_63447,c_64037,c_26]) ).
tff(c_64047,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64042,c_136]) ).
tff(c_64064,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63796,c_78]) ).
tff(c_64065,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_64047,c_55002,c_204,c_64064]) ).
tff(c_64075,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64065,c_63796,c_66]) ).
tff(c_64076,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_62502,c_196,c_64075]) ).
tff(c_64197,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63783,c_63442,c_63796,c_64055,c_63442,c_64031,c_64031,c_64076,c_210]) ).
tff(c_64198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_196,c_64197]) ).
tff(c_64199,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_63440]) ).
tff(c_64213,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_64199,c_48]) ).
tff(c_64214,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_64213]) ).
tff(c_64215,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_64214]) ).
tff(c_64217,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64215,c_172]) ).
tff(c_64204,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64199,c_146]) ).
tff(c_64242,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_55001,c_64204,c_62503,c_10]) ).
tff(c_64248,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64242,c_112]) ).
tff(c_64265,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_55002,c_64248,c_62502,c_14]) ).
tff(c_64269,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64265,c_174]) ).
tff(c_64301,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_64217,c_64269,c_62522,c_22]) ).
tff(c_64347,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64301,c_64265,c_64215,c_70]) ).
tff(c_64348,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_64347]) ).
tff(c_64399,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64199,c_64215,c_64199,c_64348,c_64199,c_64215,c_64199,c_732]) ).
tff(c_64401,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_64214]) ).
tff(c_64413,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_64401,c_78]) ).
tff(c_64414,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_64413]) ).
tff(c_64416,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64414,c_136]) ).
tff(c_64439,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64199,c_46]) ).
tff(c_64440,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_64416,c_55001,c_204,c_64439]) ).
tff(c_64427,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_64414,c_88]) ).
tff(c_64428,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_64427]) ).
tff(c_64429,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_64428]) ).
tff(c_64433,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64429,c_134]) ).
tff(c_64451,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64440,c_64199,c_38]) ).
tff(c_64452,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_64433,c_202,c_198,c_64451]) ).
tff(c_64484,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64440,c_64452,c_64199,c_34]) ).
tff(c_64485,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_64484]) ).
tff(c_64400,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_64214]) ).
tff(c_64404,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64400,c_160]) ).
tff(c_64493,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_64404,c_62524,c_62500,c_20]) ).
tff(c_64526,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62518,c_64493,c_64440,c_68]) ).
tff(c_64527,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_64526]) ).
tff(c_64609,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64485,c_54986,c_62496,c_54998,c_64440,c_64527,c_62518,c_64414,c_706]) ).
tff(c_64610,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_204,c_198,c_64609]) ).
tff(c_64611,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_64428]) ).
tff(c_64650,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64611,c_64199,c_34]) ).
tff(c_64651,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_62503,c_196,c_64650]) ).
tff(c_64672,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64611,c_64651,c_64199,c_46]) ).
tff(c_64673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_55001,c_204,c_64672]) ).
tff(c_64674,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_64413]) ).
tff(c_64677,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64674,c_124]) ).
tff(c_64688,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_88]) ).
tff(c_64689,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_64688]) ).
tff(c_64690,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_64689]) ).
tff(c_64695,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64690,c_176]) ).
tff(c_64734,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_64400,c_64199,c_40]) ).
tff(c_64735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_64695,c_202,c_198,c_64734]) ).
tff(c_64736,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_64689]) ).
tff(c_64740,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_64736]) ).
tff(c_64750,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64740,c_64199,c_46]) ).
tff(c_64751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_64677,c_55001,c_204,c_64750]) ).
tff(c_64752,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_64736]) ).
tff(c_64675,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_64413]) ).
tff(c_64843,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_64752,c_96]) ).
tff(c_64844,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_64675,c_202,c_64843]) ).
tff(c_64865,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_64752,c_64844,c_84]) ).
tff(c_64866,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_64865]) ).
tff(c_64206,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64199,c_100]) ).
tff(c_64818,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_64401,c_64206,c_54988,c_6]) ).
tff(c_64936,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62496,c_64866,c_62496,c_64818,c_64866,c_62496,c_62496,c_738]) ).
tff(c_64938,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_65340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55003,c_62513,c_64938,c_54992,c_24]) ).
tff(c_65342,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_65349,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_110]) ).
tff(c_65347,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_166]) ).
tff(c_67380,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54990,c_2]) ).
tff(c_67381,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_67380]) ).
tff(c_67383,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_67381,c_148]) ).
tff(c_65526,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55001,c_10]) ).
tff(c_65527,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_65526]) ).
tff(c_65530,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65527,c_146]) ).
tff(c_66309,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65530,c_54990,c_2]) ).
tff(c_66310,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_66309]) ).
tff(c_66314,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66310,c_152]) ).
tff(c_65532,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65527,c_154]) ).
tff(c_65341,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_65538,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_65532,c_65341]) ).
tff(c_65539,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_65538]) ).
tff(c_65902,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_88]) ).
tff(c_65903,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_65902]) ).
tff(c_65904,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_65903]) ).
tff(c_66109,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65904,c_65539,c_96]) ).
tff(c_66110,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_66109]) ).
tff(c_66111,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_66110]) ).
tff(c_66117,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66111,c_180]) ).
tff(c_65917,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65904,c_54998,c_54986,c_90]) ).
tff(c_65918,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_65917]) ).
tff(c_65884,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_168]) ).
tff(c_65533,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65527,c_112]) ).
tff(c_65346,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_162]) ).
tff(c_65540,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65346,c_20]) ).
tff(c_65541,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_65540]) ).
tff(c_65354,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_65360,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65354,c_192]) ).
tff(c_65523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55004,c_65342,c_65360,c_54993,c_32]) ).
tff(c_65524,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_65562,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65541,c_65524]) ).
tff(c_65563,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_65562]) ).
tff(c_65564,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_65563]) ).
tff(c_65577,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65564,c_148]) ).
tff(c_65596,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_65530,c_65577,c_54990,c_2]) ).
tff(c_65600,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65596,c_152]) ).
tff(c_65585,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_54986,c_90]) ).
tff(c_65586,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_65342,c_204,c_196,c_65585]) ).
tff(c_65655,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65586,c_65541,c_65564,c_68]) ).
tff(c_65656,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_65655]) ).
tff(c_65606,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_96]) ).
tff(c_65607,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55004,c_204,c_65606]) ).
tff(c_65608,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_65607]) ).
tff(c_65612,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65608,c_176]) ).
tff(c_65555,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65541,c_160]) ).
tff(c_65547,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_164]) ).
tff(c_65565,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_65555,c_65547,c_54989,c_4]) ).
tff(c_65569,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65565,c_102]) ).
tff(c_65619,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_65612,c_65569,c_54988,c_6]) ).
tff(c_65610,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65608,c_136]) ).
tff(c_65580,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65564,c_156]) ).
tff(c_65643,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_65610,c_65532,c_65580,c_26]) ).
tff(c_65770,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65656,c_65619,c_65619,c_65527,c_65565,c_65564,c_65596,c_65643,c_462]) ).
tff(c_65771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_194,c_200,c_65770]) ).
tff(c_65772,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_65607]) ).
tff(c_65774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65600,c_65772]) ).
tff(c_65775,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_65563]) ).
tff(c_65780,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65775,c_174]) ).
tff(c_65348,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_114]) ).
tff(c_65877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_65533,c_65780,c_65348,c_14]) ).
tff(c_65878,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_65540]) ).
tff(c_65890,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_65884,c_65878]) ).
tff(c_65531,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65527,c_150]) ).
tff(c_65895,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65890,c_122]) ).
tff(c_65928,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65531,c_65895,c_18]) ).
tff(c_65929,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_65928]) ).
tff(c_65935,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65929,c_148]) ).
tff(c_65984,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_65935,c_65530,c_54990,c_2]) ).
tff(c_65885,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_164]) ).
tff(c_65896,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65890,c_160]) ).
tff(c_66000,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_65885,c_65896,c_54989,c_4]) ).
tff(c_744,plain,
( ( op(op(e3,op(e3,e3)),op(e3,e3)) != e1 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_66096,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_65984,c_66000,c_65984,c_65539,c_66000,c_65984,c_65984,c_744]) ).
tff(c_66097,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_65928]) ).
tff(c_66149,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65918,c_65890,c_66097,c_80]) ).
tff(c_66150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_66117,c_202,c_200,c_66149]) ).
tff(c_66151,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_66110]) ).
tff(c_66159,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66151,c_152]) ).
tff(c_66164,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_66159,c_65530,c_54990,c_2]) ).
tff(c_66174,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_65885,c_65896,c_54989,c_4]) ).
tff(c_66306,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66164,c_66174,c_66164,c_65539,c_66174,c_66164,c_66164,c_744]) ).
tff(c_66307,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_65903]) ).
tff(c_66321,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_66307]) ).
tff(c_66335,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_66321,c_96]) ).
tff(c_66336,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_55004,c_204,c_202,c_66335]) ).
tff(c_66342,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66336,c_180]) ).
tff(c_66347,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_54986,c_90]) ).
tff(c_66348,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_65342,c_204,c_196,c_66347]) ).
tff(c_66352,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66348,c_132]) ).
tff(c_65897,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65890,c_126]) ).
tff(c_66361,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66321,c_65527,c_66310,c_34]) ).
tff(c_66362,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_66361]) ).
tff(c_66366,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66362,c_124]) ).
tff(c_66371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66342,c_66352,c_65897,c_66366,c_22]) ).
tff(c_66372,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_66307]) ).
tff(c_66386,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66372,c_65539,c_96]) ).
tff(c_66387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55004,c_202,c_204,c_66314,c_66386]) ).
tff(c_66388,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_66309]) ).
tff(c_66405,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66388,c_152]) ).
tff(c_66413,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_66405,c_66307]) ).
tff(c_66492,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66413,c_65539,c_96]) ).
tff(c_66493,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_55004,c_202,c_204,c_66492]) ).
tff(c_66513,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66413,c_65539,c_66493,c_84]) ).
tff(c_66514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54993,c_194,c_196,c_200,c_66513]) ).
tff(c_66515,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_65538]) ).
tff(c_66520,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66515,c_176]) ).
tff(c_66730,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_66520,c_54988,c_6]) ).
tff(c_66731,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_66730]) ).
tff(c_66736,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66731,c_102]) ).
tff(c_66700,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_65342,c_54993,c_32]) ).
tff(c_66527,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65346,c_20]) ).
tff(c_66528,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_66527]) ).
tff(c_66534,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66528,c_168]) ).
tff(c_66685,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66515,c_96]) ).
tff(c_66686,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_55004,c_204,c_66534,c_66685]) ).
tff(c_66726,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66700,c_66515,c_66686,c_84]) ).
tff(c_66727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_65347,c_200,c_66726]) ).
tff(c_66728,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_66527]) ).
tff(c_66742,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_66728]) ).
tff(c_66746,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66742,c_122]) ).
tff(c_66734,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66731,c_172]) ).
tff(c_66801,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_65342,c_54993,c_32]) ).
tff(c_66817,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66801,c_54998,c_54986,c_90]) ).
tff(c_66818,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_66817]) ).
tff(c_66737,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66731,c_100]) ).
tff(c_66754,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_66737,c_65530,c_54990,c_2]) ).
tff(c_66759,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66754,c_152]) ).
tff(c_66776,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65532,c_66759,c_26]) ).
tff(c_66777,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_66776]) ).
tff(c_66782,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66777,c_156]) ).
tff(c_66791,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_66782,c_65531,c_66746,c_18]) ).
tff(c_66831,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66818,c_66742,c_66791,c_80]) ).
tff(c_66832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_66734,c_202,c_200,c_66831]) ).
tff(c_66833,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_66776]) ).
tff(c_66839,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66833,c_156]) ).
tff(c_66861,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_65531,c_66746,c_66839,c_18]) ).
tff(c_66994,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_65527,c_62495,c_66861,c_62495,c_65527,c_62495,c_760]) ).
tff(c_66995,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_66728]) ).
tff(c_67001,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66995,c_160]) ).
tff(c_67109,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_66737,c_65530,c_54990,c_2]) ).
tff(c_67114,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67109,c_98]) ).
tff(c_67162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66736,c_67001,c_67114,c_54989,c_4]) ).
tff(c_67163,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_66730]) ).
tff(c_67247,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67163,c_102]) ).
tff(c_67265,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_66728]) ).
tff(c_67269,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67265,c_122]) ).
tff(c_67287,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65531,c_67269,c_18]) ).
tff(c_67288,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_67287]) ).
tff(c_67293,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_67288,c_124]) ).
tff(c_67322,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66515,c_67163,c_78]) ).
tff(c_67323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_67293,c_55002,c_202,c_67322]) ).
tff(c_67324,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_67287]) ).
tff(c_67334,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_67324,c_156]) ).
tff(c_67254,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_65342,c_54993,c_32]) ).
tff(c_67350,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67254,c_66515,c_84]) ).
tff(c_67351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_65347,c_67334,c_67350]) ).
tff(c_67352,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_66728]) ).
tff(c_67358,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_67352,c_160]) ).
tff(c_67165,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54989,c_4]) ).
tff(c_67166,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_67165]) ).
tff(c_67171,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_67166,c_98]) ).
tff(c_67181,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67163,c_100]) ).
tff(c_67240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67171,c_65530,c_67181,c_54990,c_2]) ).
tff(c_67241,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_67165]) ).
tff(c_67377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67247,c_67358,c_67241]) ).
tff(c_67378,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_65526]) ).
tff(c_67392,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_65349,c_67378]) ).
tff(c_67396,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67392,c_150]) ).
tff(c_67619,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_67383,c_67396,c_18]) ).
tff(c_67620,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_67619]) ).
tff(c_67623,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_67620,c_128]) ).
tff(c_67712,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_65342,c_54993,c_32]) ).
tff(c_67723,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67712,c_54998,c_54986,c_90]) ).
tff(c_67724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_67623,c_204,c_196,c_67723]) ).
tff(c_67725,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_67619]) ).
tff(c_67781,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_67725,c_156]) ).
tff(c_68038,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_65342,c_54993,c_32]) ).
tff(c_67876,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_65342,c_54993,c_32]) ).
tff(c_67387,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_67381,c_98]) ).
tff(c_67386,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_67381,c_100]) ).
tff(c_67403,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_67386,c_54988,c_6]) ).
tff(c_67404,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_67403]) ).
tff(c_67408,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_67404,c_170]) ).
tff(c_67398,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67392,c_112]) ).
tff(c_67605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_67408,c_67398,c_65348,c_14]) ).
tff(c_67606,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_67403]) ).
tff(c_67614,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67606,c_102]) ).
tff(c_67786,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_67387,c_67614,c_54989,c_4]) ).
tff(c_67791,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_67786,c_164]) ).
tff(c_67809,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_67791,c_65341]) ).
tff(c_67810,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_67809]) ).
tff(c_67895,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67876,c_67810,c_84]) ).
tff(c_67896,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_65347,c_196,c_67895]) ).
tff(c_67821,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67606,c_78]) ).
tff(c_67822,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_202,c_67821]) ).
tff(c_67823,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_67822]) ).
tff(c_67837,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_67823,c_138]) ).
tff(c_67790,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_67786,c_160]) ).
tff(c_67611,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67606,c_172]) ).
tff(c_67727,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65346,c_20]) ).
tff(c_67728,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_67727]) ).
tff(c_67771,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67725,c_67728,c_65524]) ).
tff(c_67772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_67611,c_67771]) ).
tff(c_67773,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_67727]) ).
tff(c_67796,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_67790,c_67773]) ).
tff(c_67802,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67796,c_168]) ).
tff(c_67864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67837,c_67791,c_67802,c_65347,c_28]) ).
tff(c_67865,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_67822]) ).
tff(c_67919,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67896,c_67865,c_67606,c_74]) ).
tff(c_67920,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_67919]) ).
tff(c_410,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_68020,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67920,c_67786,c_67865,c_67920,c_62495,c_67796,c_67725,c_67896,c_410]) ).
tff(c_68021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_194,c_196,c_68020]) ).
tff(c_68022,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_67809]) ).
tff(c_68062,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68038,c_68022,c_84]) ).
tff(c_68063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_65347,c_67781,c_68062]) ).
tff(c_68064,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_67380]) ).
tff(c_68481,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_68064]) ).
tff(c_68485,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68481,c_146]) ).
tff(c_68504,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65349,c_68485,c_67378]) ).
tff(c_68505,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_68064]) ).
tff(c_68512,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68505,c_100]) ).
tff(c_68543,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68512,c_54988,c_6]) ).
tff(c_68544,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_68543]) ).
tff(c_68550,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68544,c_102]) ).
tff(c_68513,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68505,c_98]) ).
tff(c_68066,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65346,c_20]) ).
tff(c_68067,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_68066]) ).
tff(c_68070,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68067,c_122]) ).
tff(c_68078,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_68064]) ).
tff(c_68094,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68078,c_146]) ).
tff(c_68114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65349,c_68094,c_67378]) ).
tff(c_68115,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_68064]) ).
tff(c_68119,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68115,c_148]) ).
tff(c_68141,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_65349,c_67378]) ).
tff(c_68145,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68141,c_150]) ).
tff(c_68071,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68067,c_160]) ).
tff(c_68123,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68115,c_98]) ).
tff(c_68221,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_68071,c_68123,c_54989,c_4]) ).
tff(c_68186,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_65342,c_54993,c_32]) ).
tff(c_68121,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68115,c_152]) ).
tff(c_68152,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_68121,c_65341]) ).
tff(c_68153,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_68152]) ).
tff(c_68146,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68141,c_154]) ).
tff(c_68154,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68121,c_68146,c_26]) ).
tff(c_68155,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_68154]) ).
tff(c_68242,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68186,c_68153,c_68155,c_84]) ).
tff(c_68243,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_68242]) ).
tff(c_68211,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68186,c_54998,c_54986,c_90]) ).
tff(c_68212,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_68211]) ).
tff(c_68147,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68141,c_112]) ).
tff(c_68196,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_55002,c_68147,c_65348,c_14]) ).
tff(c_456,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_68344,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62495,c_68221,c_68186,c_54998,c_68243,c_68212,c_68196,c_68153,c_456]) ).
tff(c_68345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_200,c_198,c_68344]) ).
tff(c_68346,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_68154]) ).
tff(c_68362,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68346,c_156]) ).
tff(c_68399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68070,c_68119,c_68145,c_68362,c_18]) ).
tff(c_68400,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_68152]) ).
tff(c_68406,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68400,c_178]) ).
tff(c_68454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_68406,c_68147,c_65348,c_14]) ).
tff(c_68455,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_68066]) ).
tff(c_68457,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_68455]) ).
tff(c_68462,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68457,c_160]) ).
tff(c_68605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68550,c_68513,c_68462,c_54989,c_4]) ).
tff(c_68606,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_68543]) ).
tff(c_68671,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_68606,c_68505,c_48]) ).
tff(c_68672,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_68671]) ).
tff(c_68469,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_65342,c_54993,c_32]) ).
tff(c_68511,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68505,c_152]) ).
tff(c_68629,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_68511,c_65341]) ).
tff(c_68630,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_68629]) ).
tff(c_68800,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_68672,c_68469,c_54998,c_62495,c_68457,c_68630,c_68469,c_444]) ).
tff(c_68801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_194,c_204,c_68800]) ).
tff(c_68802,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_68629]) ).
tff(c_68807,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68802,c_178]) ).
tff(c_68531,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_65349,c_67378]) ).
tff(c_68536,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68531,c_112]) ).
tff(c_68827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_68807,c_68536,c_65348,c_14]) ).
tff(c_68828,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_68455]) ).
tff(c_68832,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68828,c_130]) ).
tff(c_68866,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_54986,c_90]) ).
tff(c_68867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65342,c_68832,c_204,c_196,c_68866]) ).
tff(c_68868,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_62493]) ).
tff(c_68872,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68868,c_158]) ).
tff(c_68873,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68868,c_162]) ).
tff(c_68874,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68868,c_166]) ).
tff(c_68882,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_68893,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54988,c_6]) ).
tff(c_68894,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_68893]) ).
tff(c_68896,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68894,c_172]) ).
tff(c_68899,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68894,c_102]) ).
tff(c_68900,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68894,c_100]) ).
tff(c_68905,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_68900,c_54990,c_2]) ).
tff(c_68906,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_68905]) ).
tff(c_68912,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68906,c_98]) ).
tff(c_68932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68899,c_68912,c_68872,c_54989,c_4]) ).
tff(c_68933,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_68905]) ).
tff(c_68962,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_68899,c_68872,c_54989,c_4]) ).
tff(c_68939,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68933,c_152]) ).
tff(c_68946,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_88]) ).
tff(c_68947,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_68874,c_68939,c_68946]) ).
tff(c_68876,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68868,c_110]) ).
tff(c_68972,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55001,c_68876,c_10]) ).
tff(c_68973,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_68972]) ).
tff(c_68978,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68973,c_112]) ).
tff(c_68875,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68868,c_114]) ).
tff(c_68996,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_55002,c_68978,c_68875,c_14]) ).
tff(c_69113,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_68947,c_68882,c_68996,c_68947,c_68882,c_68882,c_734]) ).
tff(c_69114,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_68972]) ).
tff(c_69199,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69114,c_68933,c_46]) ).
tff(c_69200,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_69199]) ).
tff(c_69201,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_69200]) ).
tff(c_69206,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_69201,c_156]) ).
tff(c_68937,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68933,c_148]) ).
tff(c_69118,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69114,c_150]) ).
tff(c_69173,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_54992,c_69118,c_68]) ).
tff(c_69174,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_69173]) ).
tff(c_69217,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69174,c_72]) ).
tff(c_69218,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_68873,c_68937,c_69217]) ).
tff(c_69228,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69218,c_69174,c_80]) ).
tff(c_69229,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_69206,c_69228]) ).
tff(c_69317,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68933,c_68962,c_68933,c_69229,c_68933,c_68962,c_68933,c_748]) ).
tff(c_69319,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_69200]) ).
tff(c_68885,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_140]) ).
tff(c_69119,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69114,c_154]) ).
tff(c_69353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69319,c_68885,c_68939,c_69119,c_26]) ).
tff(c_69354,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_69173]) ).
tff(c_69380,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69114,c_68933,c_42]) ).
tff(c_69381,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_68885,c_196,c_198,c_69380]) ).
tff(c_69391,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69354,c_69381,c_80]) ).
tff(c_69392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55003,c_68896,c_200,c_204,c_69391]) ).
tff(c_69393,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_68893]) ).
tff(c_69407,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_69393]) ).
tff(c_69418,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69407,c_78]) ).
tff(c_69419,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_202,c_69418]) ).
tff(c_69420,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_69419]) ).
tff(c_69395,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54990,c_2]) ).
tff(c_69396,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_69395]) ).
tff(c_69400,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_69396,c_152]) ).
tff(c_69398,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_69396,c_148]) ).
tff(c_69410,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69407,c_172]) ).
tff(c_69431,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_69410,c_68873,c_72]) ).
tff(c_69432,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_69431]) ).
tff(c_69437,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69432,c_128]) ).
tff(c_69716,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_69398,c_69437,c_18]) ).
tff(c_69717,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_69716]) ).
tff(c_69720,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69717,c_150]) ).
tff(c_69443,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_68875,c_14]) ).
tff(c_69444,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_69443]) ).
tff(c_69448,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69444,c_112]) ).
tff(c_69521,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_69420,c_88]) ).
tff(c_69522,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_68874,c_69521]) ).
tff(c_69566,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69420,c_69444,c_69407,c_66]) ).
tff(c_69567,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_69566]) ).
tff(c_69453,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_69398,c_69437,c_18]) ).
tff(c_69454,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_69453]) ).
tff(c_658,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_69661,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69522,c_54986,c_69567,c_69444,c_69407,c_69454,c_69432,c_69420,c_658]) ).
tff(c_69662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_194,c_198,c_69661]) ).
tff(c_69663,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_69453]) ).
tff(c_69704,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69663,c_69396,c_42]) ).
tff(c_69705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68885,c_196,c_69448,c_204,c_69704]) ).
tff(c_69706,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_69443]) ).
tff(c_69711,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69706,c_112]) ).
tff(c_69760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55001,c_69720,c_68876,c_69711,c_10]) ).
tff(c_69761,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_69716]) ).
tff(c_69771,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69761,c_156]) ).
tff(c_69795,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_69400,c_68885,c_69771,c_26]) ).
tff(c_69924,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69795,c_54986,c_69761,c_69706,c_69396,c_69761,c_69432,c_69420,c_658]) ).
tff(c_69925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_200,c_198,c_69924]) ).
tff(c_69926,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_69431]) ).
tff(c_69933,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69926,c_156]) ).
tff(c_69942,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_69420,c_84]) ).
tff(c_69943,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_69942]) ).
tff(c_69944,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_69943]) ).
tff(c_69957,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_69420,c_69944,c_88]) ).
tff(c_69958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_69933,c_69957]) ).
tff(c_69959,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_69943]) ).
tff(c_69974,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_69420,c_69959,c_88]) ).
tff(c_69975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_68874,c_194,c_69974]) ).
tff(c_69976,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_69419]) ).
tff(c_70369,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69976,c_72]) ).
tff(c_70370,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_68873,c_70369]) ).
tff(c_70371,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_70370]) ).
tff(c_70375,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70371,c_128]) ).
tff(c_69981,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_69976,c_126]) ).
tff(c_69402,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_69396,c_98]) ).
tff(c_70286,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_69402,c_68872,c_54989,c_4]) ).
tff(c_70290,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70286,c_160]) ).
tff(c_69988,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_68875,c_14]) ).
tff(c_69989,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_69988]) ).
tff(c_69992,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69989,c_112]) ).
tff(c_69998,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_55001,c_69992,c_68876,c_10]) ).
tff(c_70003,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69998,c_154]) ).
tff(c_70019,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_84]) ).
tff(c_70020,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_70003,c_70019]) ).
tff(c_70021,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_70020]) ).
tff(c_70156,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_70021,c_68882,c_69407,c_70021,c_68882,c_68882,c_738]) ).
tff(c_70157,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_70020]) ).
tff(c_70163,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70157,c_168]) ).
tff(c_70002,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69998,c_150]) ).
tff(c_70008,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_69398,c_70002,c_18]) ).
tff(c_70009,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_70008]) ).
tff(c_70173,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69976,c_70009,c_68]) ).
tff(c_70174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54992,c_200,c_70163,c_196,c_70173]) ).
tff(c_70175,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_70008]) ).
tff(c_70252,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70175,c_69998,c_69396,c_42]) ).
tff(c_70253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68885,c_198,c_196,c_204,c_70252]) ).
tff(c_70254,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_69988]) ).
tff(c_70258,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70254,c_112]) ).
tff(c_70277,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_55001,c_68876,c_70258,c_10]) ).
tff(c_70281,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70277,c_150]) ).
tff(c_70265,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_69400,c_68885,c_26]) ).
tff(c_70266,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_70265]) ).
tff(c_70272,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70266,c_156]) ).
tff(c_70300,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_69398,c_70281,c_70272,c_18]) ).
tff(c_70305,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70300,c_122]) ).
tff(c_70330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69981,c_70290,c_68873,c_70305,c_20]) ).
tff(c_70331,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_70265]) ).
tff(c_70360,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_55001,c_68876,c_70258,c_10]) ).
tff(c_70394,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70331,c_70360,c_69396,c_38]) ).
tff(c_70395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_70375,c_198,c_202,c_70394]) ).
tff(c_70397,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_70370]) ).
tff(c_70418,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_54998,c_54986,c_86]) ).
tff(c_70419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_70397,c_202,c_194,c_70418]) ).
tff(c_70420,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_69393]) ).
tff(c_70492,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_70420,c_69396,c_40]) ).
tff(c_70493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_68872,c_202,c_70492]) ).
tff(c_70494,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_69395]) ).
tff(c_71160,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_70494]) ).
tff(c_71165,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71160,c_100]) ).
tff(c_71183,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_71165,c_69393]) ).
tff(c_71188,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71183,c_170]) ).
tff(c_70496,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55001,c_68876,c_10]) ).
tff(c_70497,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_70496]) ).
tff(c_70500,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70497,c_146]) ).
tff(c_70537,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_70500,c_70494]) ).
tff(c_70542,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70537,c_152]) ).
tff(c_70501,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70497,c_150]) ).
tff(c_70541,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70537,c_148]) ).
tff(c_70548,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_70501,c_70541,c_18]) ).
tff(c_70549,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_70548]) ).
tff(c_70508,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_69393]) ).
tff(c_70515,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70508,c_100]) ).
tff(c_70522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70515,c_70500,c_70494]) ).
tff(c_70523,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_69393]) ).
tff(c_70588,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_70523,c_70537,c_48]) ).
tff(c_70589,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_70588]) ).
tff(c_70594,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70589,c_164]) ).
tff(c_70550,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70497,c_70537,c_34]) ).
tff(c_70551,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_70550]) ).
tff(c_70552,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_70551]) ).
tff(c_70599,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_70552,c_88]) ).
tff(c_70600,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_68874,c_194,c_70599]) ).
tff(c_70622,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_70600,c_70552,c_96]) ).
tff(c_70623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_70594,c_200,c_70622]) ).
tff(c_70624,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_70551]) ).
tff(c_70636,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_70549,c_70624]) ).
tff(c_70637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_70636]) ).
tff(c_70638,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_70548]) ).
tff(c_70645,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70638,c_156]) ).
tff(c_70653,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_84]) ).
tff(c_70654,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_70645,c_70653]) ).
tff(c_70655,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_70654]) ).
tff(c_70658,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70655,c_138]) ).
tff(c_70644,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70638,c_122]) ).
tff(c_70686,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68868,c_50]) ).
tff(c_70687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70658,c_70644,c_194,c_54989,c_70686]) ).
tff(c_70688,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_70654]) ).
tff(c_70758,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_70688,c_88]) ).
tff(c_70759,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_70542,c_70758]) ).
tff(c_70503,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70497,c_112]) ).
tff(c_70797,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_55002,c_70503,c_68875,c_14]) ).
tff(c_70859,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_70759,c_68882,c_70797,c_70759,c_68882,c_68882,c_734]) ).
tff(c_70860,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_70496]) ).
tff(c_70867,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70860,c_112]) ).
tff(c_71305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_71188,c_68875,c_70867,c_14]) ).
tff(c_71306,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_70494]) ).
tff(c_71312,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71306,c_100]) ).
tff(c_71370,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_71312,c_69393]) ).
tff(c_71376,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71370,c_176]) ).
tff(c_70865,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70860,c_150]) ).
tff(c_71319,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_68873,c_72]) ).
tff(c_71320,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_71319]) ).
tff(c_71325,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71320,c_128]) ).
tff(c_71310,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71306,c_148]) ).
tff(c_70873,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_70876,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70873,c_124]) ).
tff(c_70877,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70873,c_122]) ).
tff(c_70942,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_70877,c_68873,c_20]) ).
tff(c_70943,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_70942]) ).
tff(c_70946,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70943,c_126]) ).
tff(c_70884,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_69393]) ).
tff(c_70887,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70884,c_172]) ).
tff(c_70981,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_70876,c_70946,c_70887,c_22]) ).
tff(c_70878,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70873,c_156]) ).
tff(c_70866,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70860,c_154]) ).
tff(c_70961,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_70878,c_68885,c_70866,c_26]) ).
tff(c_71065,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70981,c_70873,c_70981,c_70961,c_70981,c_70873,c_70981,c_754]) ).
tff(c_71066,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_70942]) ).
tff(c_71071,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71066,c_168]) ).
tff(c_70896,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70884,c_78]) ).
tff(c_70897,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_70876,c_55002,c_202,c_70896]) ).
tff(c_71093,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_70878,c_68885,c_70866,c_26]) ).
tff(c_71116,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_70897,c_71093,c_84]) ).
tff(c_71117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_71071,c_194,c_71116]) ).
tff(c_71118,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_69393]) ).
tff(c_71123,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71118,c_170]) ).
tff(c_71157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_71123,c_68875,c_70867,c_14]) ).
tff(c_71158,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_71343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70865,c_71325,c_71310,c_71158]) ).
tff(c_71344,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_71319]) ).
tff(c_71358,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_71344]) ).
tff(c_71365,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71358,c_156]) ).
tff(c_71406,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68882,c_88]) ).
tff(c_71407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_71376,c_68874,c_71365,c_71406]) ).
tff(c_71408,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_71344]) ).
tff(c_71414,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71408,c_172]) ).
tff(c_71420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71414,c_71312,c_69393]) ).
tff(c_71422,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_71421,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_71423,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_71421]) ).
tff(c_71885,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71423,c_88]) ).
tff(c_71886,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_68874,c_198,c_71885]) ).
tff(c_71887,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_71886]) ).
tff(c_71428,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71423,c_154]) ).
tff(c_72157,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_55001,c_71428,c_68876,c_10]) ).
tff(c_71434,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68872,c_54989,c_4]) ).
tff(c_71435,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_71434]) ).
tff(c_71441,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71435,c_98]) ).
tff(c_71427,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71423,c_152]) ).
tff(c_71440,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71435,c_102]) ).
tff(c_71469,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_68875,c_14]) ).
tff(c_71470,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_71469]) ).
tff(c_71475,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71470,c_170]) ).
tff(c_71481,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_71441,c_71427,c_54990,c_2]) ).
tff(c_71487,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71481,c_100]) ).
tff(c_71544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71440,c_71475,c_71487,c_54988,c_6]) ).
tff(c_71545,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_71469]) ).
tff(c_71551,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71545,c_112]) ).
tff(c_71429,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71423,c_156]) ).
tff(c_71438,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71435,c_160]) ).
tff(c_71446,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54998,c_54986,c_90]) ).
tff(c_71447,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_71422,c_204,c_196,c_71446]) ).
tff(c_71452,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71447,c_130]) ).
tff(c_71458,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_71438,c_71452,c_68873,c_20]) ).
tff(c_71462,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71458,c_122]) ).
tff(c_71558,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_71429,c_71462,c_18]) ).
tff(c_71559,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_71558]) ).
tff(c_71583,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71423,c_71559,c_34]) ).
tff(c_71584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_71551,c_54990,c_71583]) ).
tff(c_71585,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_71558]) ).
tff(c_71589,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71585,c_148]) ).
tff(c_71617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71441,c_71427,c_71589,c_54990,c_2]) ).
tff(c_71618,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_71434]) ).
tff(c_71877,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71618,c_160]) ).
tff(c_71643,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55004,c_71422,c_54993,c_32]) ).
tff(c_71718,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71643,c_71423,c_84]) ).
tff(c_71719,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_71718]) ).
tff(c_71720,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_71719]) ).
tff(c_71723,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71720,c_138]) ).
tff(c_71620,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68873,c_20]) ).
tff(c_71621,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_71620]) ).
tff(c_71733,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71621,c_68868,c_71618,c_50]) ).
tff(c_71734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71723,c_200,c_194,c_196,c_71733]) ).
tff(c_71735,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_71719]) ).
tff(c_71872,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71643,c_71735,c_71643,c_71618,c_71735,c_71643,c_71643,c_750]) ).
tff(c_71873,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_71620]) ).
tff(c_71899,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_71877,c_71873]) ).
tff(c_71906,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71899,c_168]) ).
tff(c_72177,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71887,c_71423,c_84]) ).
tff(c_72178,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_71906,c_196,c_72177]) ).
tff(c_72223,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71887,c_72178,c_71423,c_96]) ).
tff(c_72224,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_72223]) ).
tff(c_72306,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71423,c_54986,c_71887,c_54998,c_72157,c_71899,c_54998,c_72224,c_696]) ).
tff(c_72307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_194,c_202,c_72306]) ).
tff(c_72309,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_71886]) ).
tff(c_72356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55004,c_71422,c_72309,c_54993,c_32]) ).
tff(c_72357,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_71421]) ).
tff(c_72359,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_72357]) ).
tff(c_72364,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72359,c_178]) ).
tff(c_72395,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68872,c_54989,c_4]) ).
tff(c_72396,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_72395]) ).
tff(c_72525,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72396,c_102]) ).
tff(c_72370,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72359,c_88]) ).
tff(c_72371,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_68874,c_72370]) ).
tff(c_72372,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_72371]) ).
tff(c_72378,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72372,c_192]) ).
tff(c_72397,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72359,c_78]) ).
tff(c_72398,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_55002,c_72397]) ).
tff(c_72399,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_72398]) ).
tff(c_72402,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72396,c_160]) ).
tff(c_72405,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72396,c_98]) ).
tff(c_72383,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55001,c_68876,c_10]) ).
tff(c_72384,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_72383]) ).
tff(c_72387,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72384,c_146]) ).
tff(c_72412,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72399,c_124]) ).
tff(c_72388,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72384,c_150]) ).
tff(c_72424,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72412,c_72388,c_18]) ).
tff(c_72425,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_72424]) ).
tff(c_72428,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72425,c_148]) ).
tff(c_72452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72405,c_72387,c_72428,c_54990,c_2]) ).
tff(c_72453,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_72424]) ).
tff(c_72460,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72453,c_122]) ).
tff(c_72481,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_72402,c_68873,c_72460,c_20]) ).
tff(c_72517,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72399,c_72481,c_72453,c_72]) ).
tff(c_72518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72378,c_202,c_198,c_194,c_72517]) ).
tff(c_72519,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_72398]) ).
tff(c_72533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72525,c_72519]) ).
tff(c_72534,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_72395]) ).
tff(c_72547,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_72534,c_48]) ).
tff(c_72548,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_72547]) ).
tff(c_72549,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_72548]) ).
tff(c_72556,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72549,c_100]) ).
tff(c_72538,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72534,c_160]) ).
tff(c_72612,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_72556,c_72387,c_54990,c_2]) ).
tff(c_72561,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72378,c_68873,c_72]) ).
tff(c_72562,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_72561]) ).
tff(c_72566,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72562,c_124]) ).
tff(c_72584,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_72388,c_72566,c_18]) ).
tff(c_72585,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_72584]) ).
tff(c_72589,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72585,c_122]) ).
tff(c_72601,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_72589,c_72538,c_68873,c_20]) ).
tff(c_72590,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72585,c_156]) ).
tff(c_72621,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72372,c_72359,c_96]) ).
tff(c_72622,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_72590,c_72621]) ).
tff(c_216,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_72734,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72534,c_72612,c_72549,c_72384,c_72384,c_72601,c_54998,c_72622,c_216]) ).
tff(c_72735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_198,c_202,c_72734]) ).
tff(c_72736,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_72584]) ).
tff(c_72742,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72736,c_122]) ).
tff(c_72752,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_72538,c_68873,c_72742,c_20]) ).
tff(c_72756,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72752,c_168]) ).
tff(c_72361,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72359,c_138]) ).
tff(c_72779,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_72756,c_72361,c_68874,c_28]) ).
tff(c_72858,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_72372,c_72779,c_72372,c_72534,c_72779,c_72372,c_72372,c_750]) ).
tff(c_72859,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_72561]) ).
tff(c_72862,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72859,c_148]) ).
tff(c_72871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72556,c_72387,c_72862,c_54990,c_2]) ).
tff(c_72873,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_72548]) ).
tff(c_72905,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72359,c_78]) ).
tff(c_72906,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_55002,c_72873,c_72905]) ).
tff(c_72909,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72906,c_126]) ).
tff(c_72925,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_72909,c_72538,c_68873,c_20]) ).
tff(c_72363,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72359,c_176]) ).
tff(c_72943,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72873,c_72363,c_54988,c_6]) ).
tff(c_474,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_73062,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72925,c_72943,c_72943,c_72384,c_72384,c_72925,c_72906,c_72359,c_474]) ).
tff(c_73063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_198,c_204,c_73062]) ).
tff(c_73064,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_72383]) ).
tff(c_73071,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_73064,c_112]) ).
tff(c_73191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55002,c_72364,c_68875,c_73071,c_14]) ).
tff(c_73193,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_72371]) ).
tff(c_73391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55004,c_71422,c_73193,c_54993,c_32]) ).
tff(c_73392,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_72357]) ).
tff(c_73404,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73392,c_88]) ).
tff(c_73405,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_73404]) ).
tff(c_73406,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_73405]) ).
tff(c_73417,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54990,c_2]) ).
tff(c_73418,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_73417]) ).
tff(c_73424,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73418,c_98]) ).
tff(c_73399,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73392,c_164]) ).
tff(c_73810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73424,c_73399,c_68872,c_54989,c_4]) ).
tff(c_73811,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_73417]) ).
tff(c_73813,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_73811]) ).
tff(c_73816,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73813,c_148]) ).
tff(c_74294,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73406,c_54998,c_54986,c_90]) ).
tff(c_74295,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_74294]) ).
tff(c_73393,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_72357]) ).
tff(c_73412,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73406,c_192]) ).
tff(c_74230,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_73412,c_68873,c_73816,c_72]) ).
tff(c_74026,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_68875,c_14]) ).
tff(c_74027,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_74026]) ).
tff(c_74031,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74027,c_112]) ).
tff(c_73849,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73406,c_54998,c_54986,c_90]) ).
tff(c_73850,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_73849]) ).
tff(c_73904,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_73399,c_68872,c_54989,c_4]) ).
tff(c_73926,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73392,c_68868,c_73904,c_50]) ).
tff(c_73927,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_73926]) ).
tff(c_73855,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73850,c_128]) ).
tff(c_73825,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55002,c_78]) ).
tff(c_73826,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_73825]) ).
tff(c_73829,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73826,c_136]) ).
tff(c_72358,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_71421]) ).
tff(c_73410,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73406,c_140]) ).
tff(c_73839,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_73829,c_72358,c_73410,c_26]) ).
tff(c_73844,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_73839,c_156]) ).
tff(c_73863,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_73855,c_73816,c_73844,c_18]) ).
tff(c_73952,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73850,c_73927,c_73863,c_72]) ).
tff(c_73953,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_73952]) ).
tff(c_752,plain,
( ( op(op(e1,op(e1,e1)),op(e1,e1)) != e0 )
| ( op(e1,op(e1,e1)) != e3 )
| ( op(e1,e1) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_706]) ).
tff(c_74023,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73953,c_73927,c_73953,c_73904,c_73953,c_73927,c_73953,c_752]) ).
tff(c_74024,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_73825]) ).
tff(c_74038,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_74024]) ).
tff(c_74044,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74038,c_102]) ).
tff(c_74089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74044,c_73399,c_68872,c_54989,c_4]) ).
tff(c_74090,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_74024]) ).
tff(c_74094,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74090,c_124]) ).
tff(c_74115,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74094,c_73816,c_18]) ).
tff(c_74116,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_74115]) ).
tff(c_74119,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74116,c_128]) ).
tff(c_74147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55003,c_74119,c_73412,c_54992,c_24]) ).
tff(c_74148,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_74115]) ).
tff(c_74156,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74148,c_156]) ).
tff(c_74163,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73406,c_73392,c_84]) ).
tff(c_74164,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_74156,c_74163]) ).
tff(c_74174,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73406,c_74164,c_73392,c_96]) ).
tff(c_74175,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_74174]) ).
tff(c_74203,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74175,c_74148,c_73813,c_42]) ).
tff(c_74204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_74031,c_198,c_74203]) ).
tff(c_74205,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_74026]) ).
tff(c_74218,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_74024]) ).
tff(c_74256,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74230,c_74205,c_74218,c_74]) ).
tff(c_74257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73393,c_198,c_196,c_204,c_74256]) ).
tff(c_74258,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_74024]) ).
tff(c_74305,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74295,c_74258,c_72]) ).
tff(c_74306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_68873,c_73816,c_74305]) ).
tff(c_74307,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_73811]) ).
tff(c_74482,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74307,c_48]) ).
tff(c_74483,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_74482]) ).
tff(c_74484,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_74483]) ).
tff(c_74489,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74484,c_102]) ).
tff(c_74502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74489,c_73399,c_68872,c_54989,c_4]) ).
tff(c_74503,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_74483]) ).
tff(c_74508,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74503,c_160]) ).
tff(c_73398,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73392,c_168]) ).
tff(c_74615,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_74508,c_73398,c_68873,c_20]) ).
tff(c_74712,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73406,c_73392,c_73406,c_74615,c_73392,c_73406,c_73406,c_746]) ).
tff(c_74714,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_73405]) ).
tff(c_74755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55004,c_71422,c_74714,c_54993,c_32]) ).
tff(c_74756,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_74770,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54991,c_74756]) ).
tff(c_74771,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_74770]) ).
tff(c_74778,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_190]) ).
tff(c_77113,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74778,c_54993,c_32]) ).
tff(c_77114,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_77113]) ).
tff(c_77194,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_74771,c_54986,c_90]) ).
tff(c_77195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_77151,c_198,c_196,c_77194]) ).
tff(c_77196,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_77139]) ).
tff(c_77261,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_77196]) ).
tff(c_77268,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77261,c_180]) ).
tff(c_74763,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74759,c_176]) ).
tff(c_75102,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74778,c_54993,c_32]) ).
tff(c_75103,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_75102]) ).
tff(c_75106,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75103,c_140]) ).
tff(c_74774,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_118]) ).
tff(c_74783,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74774,c_12]) ).
tff(c_74784,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_74783]) ).
tff(c_74790,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74784,c_110]) ).
tff(c_74775,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_116]) ).
tff(c_74797,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74790,c_74775,c_10]) ).
tff(c_74798,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_74797]) ).
tff(c_74803,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74798,c_154]) ).
tff(c_74801,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74798,c_146]) ).
tff(c_74809,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_40]) ).
tff(c_74810,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_74809]) ).
tff(c_74811,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_74810]) ).
tff(c_74816,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74811,c_98]) ).
tff(c_75089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74765,c_74801,c_74816,c_54990,c_2]) ).
tff(c_75090,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_74810]) ).
tff(c_75096,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75090,c_152]) ).
tff(c_75091,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_74810]) ).
tff(c_75382,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_75091,c_54989,c_4]) ).
tff(c_75386,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75382,c_164]) ).
tff(c_75138,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_75106,c_74803,c_75096,c_26]) ).
tff(c_74802,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74798,c_150]) ).
tff(c_75095,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75090,c_148]) ).
tff(c_75127,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74802,c_75095,c_18]) ).
tff(c_75128,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_75127]) ).
tff(c_74804,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74798,c_112]) ).
tff(c_74776,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_120]) ).
tff(c_75238,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_74762,c_74804,c_74776,c_14]) ).
tff(c_75109,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75103,c_192]) ).
tff(c_74777,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_186]) ).
tff(c_75116,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_75109,c_74777,c_54992,c_24]) ).
tff(c_75148,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75116,c_75128,c_72]) ).
tff(c_75149,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_75148]) ).
tff(c_75150,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_75149]) ).
tff(c_75153,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75150,c_126]) ).
tff(c_75179,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_75091,c_54989,c_4]) ).
tff(c_75189,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74784,c_75179,c_54]) ).
tff(c_75190,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_75153,c_202,c_198,c_75189]) ).
tff(c_75201,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75190,c_74784,c_75179,c_50]) ).
tff(c_75202,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_75201]) ).
tff(c_75162,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75150,c_74759,c_74]) ).
tff(c_75163,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_74804,c_204,c_75162]) ).
tff(c_666,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_75320,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75138,c_54986,c_75128,c_75238,c_74798,c_75202,c_75150,c_75163,c_666]) ).
tff(c_75321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_198,c_198,c_75320]) ).
tff(c_75322,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_75149]) ).
tff(c_75328,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75322,c_168]) ).
tff(c_75143,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75138,c_136]) ).
tff(c_75335,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74763,c_75143,c_30]) ).
tff(c_75336,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_75335]) ).
tff(c_75368,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75103,c_75336,c_75138,c_88]) ).
tff(c_75369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_75328,c_194,c_75368]) ).
tff(c_75370,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_75335]) ).
tff(c_75410,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75103,c_75370,c_75138,c_92]) ).
tff(c_75411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_75386,c_196,c_75410]) ).
tff(c_75412,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_75127]) ).
tff(c_75418,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75412,c_156]) ).
tff(c_75446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75106,c_74803,c_75096,c_75418,c_26]) ).
tff(c_75447,plain,
op(e0,e0) = e1,
inference(splitRight,[status(thm)],[c_75102]) ).
tff(c_75465,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75447,c_144]) ).
tff(c_75514,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_74762,c_74804,c_74776,c_14]) ).
tff(c_75519,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75514,c_178]) ).
tff(c_75550,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_74763,c_75465,c_75519,c_30]) ).
tff(c_75615,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75447,c_75550,c_75447,c_75514,c_75550,c_75447,c_75447,c_734]) ).
tff(c_75616,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_74797]) ).
tff(c_75622,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75616,c_154]) ).
tff(c_74787,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74784,c_162]) ).
tff(c_75629,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_40]) ).
tff(c_75630,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_75629]) ).
tff(c_75631,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_75630]) ).
tff(c_75636,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75631,c_98]) ).
tff(c_75656,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_74765,c_75636,c_54990,c_2]) ).
tff(c_75635,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75631,c_164]) ).
tff(c_75641,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_54986,c_90]) ).
tff(c_75642,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_75641]) ).
tff(c_75643,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_75642]) ).
tff(c_74788,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74784,c_166]) ).
tff(c_75672,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75643,c_96]) ).
tff(c_75673,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_74763,c_74788,c_75672]) ).
tff(c_75683,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75643,c_75673,c_88]) ).
tff(c_75684,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_75635,c_202,c_75683]) ).
tff(c_75822,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75656,c_74759,c_75656,c_75684,c_75656,c_74759,c_75656,c_732]) ).
tff(c_75823,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_75642]) ).
tff(c_75829,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75823,c_130]) ).
tff(c_75634,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75631,c_160]) ).
tff(c_75824,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_75642]) ).
tff(c_75849,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_75824,c_74778,c_54993,c_32]) ).
tff(c_75853,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75849,c_140]) ).
tff(c_75861,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_75853,c_75622,c_26]) ).
tff(c_75862,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_75861]) ).
tff(c_75890,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75862,c_75616,c_38]) ).
tff(c_75891,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_75636,c_75890]) ).
tff(c_75895,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75891,c_124]) ).
tff(c_75835,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_54993,c_75622,c_84]) ).
tff(c_75836,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_75835]) ).
tff(c_75827,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75823,c_132]) ).
tff(c_75874,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75836,c_74759,c_74]) ).
tff(c_75875,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_75827,c_204,c_75874]) ).
tff(c_75901,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75836,c_75875,c_74759,c_70]) ).
tff(c_75902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_75895,c_198,c_202,c_75901]) ).
tff(c_75903,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_75861]) ).
tff(c_75621,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75616,c_150]) ).
tff(c_75915,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75836,c_74759,c_70]) ).
tff(c_75916,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_74776,c_202,c_75915]) ).
tff(c_75963,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75823,c_75916,c_68]) ).
tff(c_75964,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_75621,c_75963]) ).
tff(c_76002,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75964,c_74784,c_75631,c_58]) ).
tff(c_76003,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_76002]) ).
tff(c_702,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_76066,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75903,c_54986,c_76003,c_74771,c_75964,c_75916,c_75631,c_75903,c_702]) ).
tff(c_76067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_196,c_194,c_76066]) ).
tff(c_76068,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_75835]) ).
tff(c_76085,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_76068,c_168]) ).
tff(c_76155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74787,c_75829,c_75634,c_76085,c_20]) ).
tff(c_76156,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_75630]) ).
tff(c_76161,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76156,c_152]) ).
tff(c_76609,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74778,c_76161,c_88]) ).
tff(c_76610,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_76609]) ).
tff(c_75623,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75616,c_112]) ).
tff(c_76671,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_74762,c_74776,c_75623,c_14]) ).
tff(c_76157,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_75630]) ).
tff(c_76658,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_76157,c_54989,c_4]) ).
tff(c_76419,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_76157,c_54989,c_4]) ).
tff(c_76169,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_76175,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76169,c_192]) ).
tff(c_76406,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_76175,c_74777,c_54992,c_24]) ).
tff(c_76225,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_76175,c_74777,c_54992,c_24]) ).
tff(c_76180,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76169,c_88]) ).
tff(c_76181,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_76161,c_76180]) ).
tff(c_76182,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_76181]) ).
tff(c_492,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_76390,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76225,c_74759,c_76156,c_75616,c_76169,c_76225,c_76182,c_76169,c_492]) ).
tff(c_76391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_204,c_202,c_76390]) ).
tff(c_76392,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_76181]) ).
tff(c_76428,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76169,c_76392,c_84]) ).
tff(c_76429,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_75622,c_76428]) ).
tff(c_236,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_76578,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76419,c_76156,c_76156,c_75616,c_76169,c_76406,c_76429,c_76169,c_236]) ).
tff(c_76579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_200,c_76578]) ).
tff(c_76580,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_76621,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76610,c_76580]) ).
tff(c_76622,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_76621]) ).
tff(c_76623,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_76622]) ).
tff(c_76626,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76623,c_134]) ).
tff(c_76613,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76610,c_138]) ).
tff(c_76648,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_74788,c_76626,c_76613,c_28]) ).
tff(c_76652,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_76648,c_168]) ).
tff(c_76582,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_54986,c_90]) ).
tff(c_76583,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_76582]) ).
tff(c_76584,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_76583]) ).
tff(c_76581,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_76596,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76584,c_76581]) ).
tff(c_76597,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_76583]) ).
tff(c_76686,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76597,c_68]) ).
tff(c_76687,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_76652,c_75621,c_76686]) ).
tff(c_76699,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76597,c_76687,c_80]) ).
tff(c_76700,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_74787,c_76699]) ).
tff(c_416,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_76792,plain,
( ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76671,c_76658,c_76687,c_76671,c_76700,c_76687,c_75616,c_76648,c_416]) ).
tff(c_76793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_194,c_76792]) ).
tff(c_76794,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_76622]) ).
tff(c_76854,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76610,c_76794,c_84]) ).
tff(c_76855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54993,c_194,c_196,c_75622,c_76854]) ).
tff(c_76856,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_76609]) ).
tff(c_76870,plain,
( ( op(e0,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76856,c_76580]) ).
tff(c_76871,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_76870]) ).
tff(c_76872,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_76871]) ).
tff(c_76875,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76872,c_136]) ).
tff(c_76857,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_76609]) ).
tff(c_76982,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_76157,c_54989,c_4]) ).
tff(c_76895,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74759,c_66]) ).
tff(c_76896,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_75623,c_200,c_76895]) ).
tff(c_76897,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_76896]) ).
tff(c_76902,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_76897,c_180]) ).
tff(c_76602,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76597,c_128]) ).
tff(c_76160,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76156,c_148]) ).
tff(c_76918,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_76602,c_76160,c_75621,c_18]) ).
tff(c_76930,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76597,c_76918,c_68]) ).
tff(c_76931,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_76902,c_200,c_76930]) ).
tff(c_76949,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76597,c_76931,c_76918,c_72]) ).
tff(c_76950,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_76949]) ).
tff(c_222,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_77040,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76982,c_76156,c_76156,c_75616,c_76931,c_76950,c_74759,c_76872,c_222]) ).
tff(c_77041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_196,c_200,c_77040]) ).
tff(c_77043,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_76896]) ).
tff(c_77060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74763,c_76875,c_76857,c_77043,c_30]) ).
tff(c_77062,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_76871]) ).
tff(c_77097,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75616,c_76156,c_42]) ).
tff(c_77098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77062,c_76602,c_196,c_198,c_77097]) ).
tff(c_77099,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_74783]) ).
tff(c_77101,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_77099]) ).
tff(c_77106,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77101,c_166]) ).
tff(c_77273,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_84]) ).
tff(c_77274,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_77268,c_77106,c_77273]) ).
tff(c_77207,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_92]) ).
tff(c_77208,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_77207]) ).
tff(c_77209,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_77208]) ).
tff(c_77213,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77209,c_178]) ).
tff(c_77107,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77101,c_114]) ).
tff(c_77258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74762,c_77213,c_74776,c_77107,c_14]) ).
tff(c_77259,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_77208]) ).
tff(c_77284,plain,
( ( op(e0,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77274,c_77259]) ).
tff(c_77285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_77201,c_77284]) ).
tff(c_77286,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_77196]) ).
tff(c_77293,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77286,c_126]) ).
tff(c_77105,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77101,c_162]) ).
tff(c_77331,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_77200,c_77293,c_77105,c_20]) ).
tff(c_77451,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77311,c_77138,c_77311,c_77331,c_77311,c_77138,c_77311,c_748]) ).
tff(c_77452,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_77137]) ).
tff(c_77458,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77452,c_98]) ).
tff(c_77840,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_74765,c_77458,c_54990,c_2]) ).
tff(c_77457,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77452,c_164]) ).
tff(c_77466,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_84]) ).
tff(c_77467,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_77106,c_77466]) ).
tff(c_77468,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_77467]) ).
tff(c_77588,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_77468,c_88]) ).
tff(c_77589,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_77457,c_77588]) ).
tff(c_77601,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_77468,c_77589,c_92]) ).
tff(c_77602,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_77601]) ).
tff(c_77544,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_74765,c_77458,c_54990,c_2]) ).
tff(c_77125,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_77101,c_64]) ).
tff(c_77126,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_74762,c_200,c_77125]) ).
tff(c_77130,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77126,c_150]) ).
tff(c_77548,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77544,c_148]) ).
tff(c_77560,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_74771,c_54986,c_90]) ).
tff(c_77561,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_77560]) ).
tff(c_77456,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77452,c_160]) ).
tff(c_77480,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77456,c_77105,c_20]) ).
tff(c_77481,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_77480]) ).
tff(c_77573,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77561,c_77481,c_72]) ).
tff(c_77574,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_77573]) ).
tff(c_77575,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_77574]) ).
tff(c_77579,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77575,c_124]) ).
tff(c_77612,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_77130,c_77548,c_77579,c_18]) ).
tff(c_690,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_77699,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77589,c_54986,c_77602,c_74771,c_77544,c_77612,c_77612,c_77468,c_690]) ).
tff(c_77700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_196,c_196,c_77699]) ).
tff(c_77701,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_77574]) ).
tff(c_77706,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77701,c_156]) ).
tff(c_77711,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_77468,c_88]) ).
tff(c_77712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_77457,c_77706,c_77711]) ).
tff(c_77713,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_77480]) ).
tff(c_77717,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77713,c_130]) ).
tff(c_77743,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_74771,c_54986,c_90]) ).
tff(c_77744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_77717,c_198,c_196,c_77743]) ).
tff(c_77745,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_77467]) ).
tff(c_77758,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77114,c_77745,c_92]) ).
tff(c_77759,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_77758]) ).
tff(c_77760,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_77759]) ).
tff(c_77764,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77760,c_178]) ).
tff(c_77770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74762,c_77764,c_74776,c_77107,c_14]) ).
tff(c_77772,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_77759]) ).
tff(c_77746,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_77467]) ).
tff(c_77880,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_74763,c_77772,c_77746,c_30]) ).
tff(c_77940,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77840,c_74759,c_77840,c_77880,c_77840,c_74759,c_77840,c_732]) ).
tff(c_77941,plain,
op(e0,e0) = e1,
inference(splitRight,[status(thm)],[c_77113]) ).
tff(c_77949,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77941,c_192]) ).
tff(c_78798,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_77949,c_74777,c_54992,c_24]) ).
tff(c_77108,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77101,c_110]) ).
tff(c_78711,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74775,c_77108,c_10]) ).
tff(c_78712,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_78711]) ).
tff(c_78715,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78712,c_150]) ).
tff(c_78454,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74765,c_54990,c_2]) ).
tff(c_78455,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_78454]) ).
tff(c_78461,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78455,c_98]) ).
tff(c_78565,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_74764,c_78461,c_54989,c_4]) ).
tff(c_78570,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78565,c_164]) ).
tff(c_77954,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77941,c_84]) ).
tff(c_77955,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_77106,c_77954]) ).
tff(c_77956,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_77955]) ).
tff(c_78150,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77941,c_77956,c_96]) ).
tff(c_78151,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_78150]) ).
tff(c_78152,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_78151]) ).
tff(c_78156,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78152,c_168]) ).
tff(c_78162,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74764,c_54989,c_4]) ).
tff(c_78163,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_78162]) ).
tff(c_78166,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78163,c_160]) ).
tff(c_77961,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77956,c_180]) ).
tff(c_77967,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74761,c_77961,c_22]) ).
tff(c_77968,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_77967]) ).
tff(c_77974,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77968,c_174]) ).
tff(c_78124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74762,c_77974,c_74776,c_77107,c_14]) ).
tff(c_78125,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_77967]) ).
tff(c_78132,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78125,c_126]) ).
tff(c_78221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78156,c_78166,c_78132,c_77105,c_20]) ).
tff(c_78222,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_78162]) ).
tff(c_78285,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_78222,c_44]) ).
tff(c_78286,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_78285]) ).
tff(c_78140,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77956,c_78125,c_74759,c_74]) ).
tff(c_78141,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_78140]) ).
tff(c_78224,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_78141,c_77101,c_64]) ).
tff(c_78225,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_78224]) ).
tff(c_78247,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78125,c_76]) ).
tff(c_78248,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_77949,c_198,c_78247]) ).
tff(c_78249,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_78248]) ).
tff(c_78230,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78225,c_150]) ).
tff(c_78254,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78249,c_122]) ).
tff(c_78131,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78125,c_124]) ).
tff(c_78275,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_78230,c_78254,c_78131,c_18]) ).
tff(c_250,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_78399,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74759,c_78286,c_78225,c_77101,c_78141,c_78249,c_78275,c_77956,c_250]) ).
tff(c_78400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_198,c_196,c_78399]) ).
tff(c_78402,plain,
op(e1,e2) != e1,
inference(splitRight,[status(thm)],[c_78248]) ).
tff(c_78415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78156,c_78402,c_78132,c_77105,c_20]) ).
tff(c_78416,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_78151]) ).
tff(c_78422,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78416,c_154]) ).
tff(c_78450,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74771,c_78141,c_77101,c_64]) ).
tff(c_78451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_78422,c_78450]) ).
tff(c_78452,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_77955]) ).
tff(c_78587,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77941,c_78452,c_88]) ).
tff(c_78588,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_78570,c_194,c_78587]) ).
tff(c_78697,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78455,c_74759,c_78455,c_78588,c_74759,c_78455,c_78455,c_732]) ).
tff(c_78698,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_78454]) ).
tff(c_78703,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78698,c_148]) ).
tff(c_78727,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78452,c_156]) ).
tff(c_78786,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_78715,c_78703,c_78727,c_18]) ).
tff(c_78802,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78798,c_130]) ).
tff(c_78706,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78698,c_98]) ).
tff(c_78734,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_78706,c_54989,c_4]) ).
tff(c_78738,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78734,c_160]) ).
tff(c_78809,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_78802,c_78738,c_77105,c_20]) ).
tff(c_77948,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77941,c_144]) ).
tff(c_78453,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_77955]) ).
tff(c_78834,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_74763,c_77948,c_78453,c_30]) ).
tff(c_78928,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78798,c_74759,c_78712,c_77101,c_74759,c_78786,c_78809,c_78834,c_498]) ).
tff(c_78929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_198,c_78928]) ).
tff(c_78930,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_78711]) ).
tff(c_78937,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78930,c_112]) ).
tff(c_78967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74762,c_78937,c_74776,c_77107,c_14]) ).
tff(c_78968,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_77099]) ).
tff(c_78987,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78968,c_114]) ).
tff(c_79505,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_74762,c_78987,c_74776,c_14]) ).
tff(c_79572,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78968,c_79505,c_78968,c_74759,c_79505,c_78968,c_78968,c_740]) ).
tff(c_79573,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_74770]) ).
tff(c_79580,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_186]) ).
tff(c_79578,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_116]) ).
tff(c_79579,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_120]) ).
tff(c_80968,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_14]) ).
tff(c_80969,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_80968]) ).
tff(c_80972,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80969,c_174]) ).
tff(c_80932,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_40]) ).
tff(c_80933,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_80932]) ).
tff(c_80934,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_80933]) ).
tff(c_80938,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80934,c_160]) ).
tff(c_80945,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79580,c_54992,c_24]) ).
tff(c_80946,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_80945]) ).
tff(c_79587,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_79589,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79587,c_128]) ).
tff(c_79590,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79587,c_150]) ).
tff(c_79581,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_190]) ).
tff(c_79598,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_79581,c_92]) ).
tff(c_79599,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_79598]) ).
tff(c_79605,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79599,c_180]) ).
tff(c_79610,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_79590,c_79578,c_10]) ).
tff(c_79611,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_79610]) ).
tff(c_79646,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_79611,c_64]) ).
tff(c_79647,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_74762,c_202,c_79646]) ).
tff(c_79650,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79647,c_166]) ).
tff(c_79602,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79599,c_138]) ).
tff(c_79614,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79611,c_146]) ).
tff(c_79622,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_40]) ).
tff(c_79623,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_79614,c_79622]) ).
tff(c_79628,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79623,c_164]) ).
tff(c_79593,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79587,c_156]) ).
tff(c_79601,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79599,c_136]) ).
tff(c_79615,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79611,c_154]) ).
tff(c_79665,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_79593,c_79601,c_79615,c_26]) ).
tff(c_79669,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79665,c_134]) ).
tff(c_79721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79650,c_79602,c_79628,c_79669,c_28]) ).
tff(c_79722,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_79610]) ).
tff(c_79728,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79722,c_112]) ).
tff(c_79796,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_79728,c_14]) ).
tff(c_79800,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79796,c_174]) ).
tff(c_79820,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_74761,c_79605,c_79800,c_22]) ).
tff(c_79727,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79722,c_154]) ).
tff(c_79748,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_79593,c_79601,c_79727,c_26]) ).
tff(c_79918,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79820,c_79587,c_79820,c_79748,c_79820,c_79587,c_79820,c_754]) ).
tff(c_79919,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_79598]) ).
tff(c_79921,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_79919]) ).
tff(c_79926,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79921,c_152]) ).
tff(c_80007,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_40]) ).
tff(c_80008,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_80007]) ).
tff(c_80009,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_80008]) ).
tff(c_80013,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80009,c_98]) ).
tff(c_80078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74765,c_79926,c_80013,c_54990,c_2]) ).
tff(c_80080,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_80008]) ).
tff(c_80090,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_80080,c_54989,c_4]) ).
tff(c_80079,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_80008]) ).
tff(c_80084,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80079,c_146]) ).
tff(c_80099,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_79590,c_79578,c_80084,c_10]) ).
tff(c_79577,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_118]) ).
tff(c_79592,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79587,c_122]) ).
tff(c_79932,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_79592,c_20]) ).
tff(c_79933,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_79932]) ).
tff(c_79936,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79933,c_160]) ).
tff(c_79955,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_74765,c_79926,c_54990,c_2]) ).
tff(c_79960,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79955,c_98]) ).
tff(c_79980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74764,c_79936,c_79960,c_54989,c_4]) ).
tff(c_79981,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_79932]) ).
tff(c_79983,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_79981]) ).
tff(c_79988,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79983,c_162]) ).
tff(c_79995,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79577,c_79988,c_12]) ).
tff(c_79996,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_79995]) ).
tff(c_80000,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79996,c_166]) ).
tff(c_79923,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79921,c_134]) ).
tff(c_79990,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79983,c_168]) ).
tff(c_80171,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_80000,c_79923,c_79990,c_28]) ).
tff(c_80108,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79581,c_54993,c_32]) ).
tff(c_80109,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_80108]) ).
tff(c_80137,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80109,c_79573,c_54986,c_86]) ).
tff(c_80138,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_80137]) ).
tff(c_232,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_80265,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80090,c_80079,c_80079,c_80099,c_80171,c_80138,c_79996,c_80171,c_232]) ).
tff(c_80266,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_202,c_202,c_80265]) ).
tff(c_80267,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_80108]) ).
tff(c_94,plain,
( ( op(e3,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_80298,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80267,c_79573,c_54986,c_94]) ).
tff(c_80299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_79589,c_204,c_200,c_80298]) ).
tff(c_80300,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_79995]) ).
tff(c_80347,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_80300,c_64]) ).
tff(c_80348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_74762,c_202,c_79590,c_80347]) ).
tff(c_80349,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_79981]) ).
tff(c_80353,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80349,c_130]) ).
tff(c_80378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79589,c_79580,c_80353,c_54992,c_24]) ).
tff(c_80379,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_79919]) ).
tff(c_80386,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80379,c_164]) ).
tff(c_80402,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_40]) ).
tff(c_80403,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_80402]) ).
tff(c_80404,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_80403]) ).
tff(c_80409,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80404,c_98]) ).
tff(c_80414,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_74765,c_80409,c_54990,c_2]) ).
tff(c_79920,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_79598]) ).
tff(c_80632,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_14]) ).
tff(c_80633,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_80632]) ).
tff(c_80638,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80633,c_178]) ).
tff(c_80408,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80404,c_160]) ).
tff(c_80426,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79587,c_72]) ).
tff(c_80427,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_80408,c_202,c_80426]) ).
tff(c_80428,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_80427]) ).
tff(c_80429,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80379,c_84]) ).
tff(c_80430,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_54993,c_196,c_80429]) ).
tff(c_80431,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_80430]) ).
tff(c_80446,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80431,c_178]) ).
tff(c_80461,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_80446,c_14]) ).
tff(c_80466,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80461,c_112]) ).
tff(c_80473,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_79590,c_79578,c_80466,c_10]) ).
tff(c_80385,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80379,c_168]) ).
tff(c_80492,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_79592,c_80385,c_80408,c_20]) ).
tff(c_80380,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_79919]) ).
tff(c_80444,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80431,c_136]) ).
tff(c_80504,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_79593,c_80380,c_80444,c_26]) ).
tff(c_470,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_80600,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80428,c_74759,c_80414,c_80473,c_80473,c_80492,c_80404,c_80504,c_470]) ).
tff(c_80601,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_194,c_194,c_80600]) ).
tff(c_80603,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_80430]) ).
tff(c_80693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74763,c_79920,c_80638,c_80603,c_30]) ).
tff(c_80694,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_80632]) ).
tff(c_80728,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80694,c_74759,c_74]) ).
tff(c_80729,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_79920,c_196,c_204,c_80728]) ).
tff(c_80738,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80729,c_80694,c_74759,c_70]) ).
tff(c_80739,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_80738]) ).
tff(c_80808,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80414,c_74759,c_80414,c_80739,c_74759,c_80414,c_80414,c_732]) ).
tff(c_80810,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_80427]) ).
tff(c_80856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79589,c_79580,c_80810,c_54992,c_24]) ).
tff(c_80858,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_80403]) ).
tff(c_80915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74764,c_80386,c_80858,c_54989,c_4]) ).
tff(c_80916,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_80918,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_80916]) ).
tff(c_80996,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80946,c_80918,c_72]) ).
tff(c_80997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_80972,c_80938,c_194,c_80996]) ).
tff(c_80998,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_80968]) ).
tff(c_80937,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80934,c_158]) ).
tff(c_81090,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_80998,c_56]) ).
tff(c_81091,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_80937,c_81090]) ).
tff(c_81120,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_80998,c_81091,c_64]) ).
tff(c_81121,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_81120]) ).
tff(c_80940,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80934,c_98]) ).
tff(c_81015,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_74765,c_80940,c_54990,c_2]) ).
tff(c_81020,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81015,c_152]) ).
tff(c_80939,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80934,c_164]) ).
tff(c_80956,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_80939,c_88]) ).
tff(c_80957,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_80956]) ).
tff(c_81029,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80957,c_92]) ).
tff(c_81030,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_81020,c_81029]) ).
tff(c_81031,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_81030]) ).
tff(c_80924,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80918,c_122]) ).
tff(c_81008,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80998,c_114]) ).
tff(c_81065,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80934,c_50]) ).
tff(c_81066,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_80924,c_81008,c_194,c_81065]) ).
tff(c_81110,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81066,c_80934,c_58]) ).
tff(c_81111,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_79577,c_198,c_81110]) ).
tff(c_81197,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81121,c_80934,c_81031,c_79573,c_80998,c_81111,c_81066,c_80957,c_444]) ).
tff(c_81198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_194,c_200,c_81197]) ).
tff(c_81200,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_81030]) ).
tff(c_81222,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80946,c_80918,c_72]) ).
tff(c_81223,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_80938,c_194,c_81222]) ).
tff(c_81244,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81223,c_80998,c_74759,c_74]) ).
tff(c_81245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81200,c_198,c_196,c_204,c_81244]) ).
tff(c_81246,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_80956]) ).
tff(c_81248,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_81246]) ).
tff(c_81254,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81248,c_154]) ).
tff(c_80922,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80918,c_150]) ).
tff(c_81305,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_79578,c_81254,c_80922,c_10]) ).
tff(c_81309,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81305,c_110]) ).
tff(c_81274,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_14]) ).
tff(c_81275,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_81274]) ).
tff(c_81278,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81275,c_174]) ).
tff(c_81288,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80946,c_80918,c_72]) ).
tff(c_81289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_81278,c_80938,c_194,c_81288]) ).
tff(c_81290,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_81274]) ).
tff(c_81300,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81290,c_114]) ).
tff(c_81326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81309,c_79577,c_80937,c_81300,c_12]) ).
tff(c_81327,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_81246]) ).
tff(c_81334,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81327,c_180]) ).
tff(c_81403,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80946,c_80918,c_72]) ).
tff(c_81404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_81334,c_80938,c_194,c_81403]) ).
tff(c_81405,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_80945]) ).
tff(c_81407,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_74765,c_80940,c_54990,c_2]) ).
tff(c_81412,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81407,c_152]) ).
tff(c_80925,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80918,c_156]) ).
tff(c_81555,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_81412,c_80925,c_26]) ).
tff(c_81556,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_81555]) ).
tff(c_81581,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81556,c_80918,c_81407,c_38]) ).
tff(c_81582,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_81581]) ).
tff(c_81586,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81582,c_112]) ).
tff(c_81427,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79577,c_80937,c_12]) ).
tff(c_81428,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_81427]) ).
tff(c_81431,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81428,c_162]) ).
tff(c_81540,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81405,c_80918,c_80]) ).
tff(c_81541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_74761,c_81431,c_200,c_81540]) ).
tff(c_81542,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_81427]) ).
tff(c_81548,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81542,c_114]) ).
tff(c_81609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_81586,c_81548,c_14]) ).
tff(c_81610,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_81555]) ).
tff(c_81632,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81610,c_154]) ).
tff(c_81755,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_79578,c_81632,c_80922,c_10]) ).
tff(c_81638,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81610,c_92]) ).
tff(c_81639,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_79581,c_198,c_81638]) ).
tff(c_81640,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_81639]) ).
tff(c_81646,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81640,c_180]) ).
tff(c_81419,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81405,c_132]) ).
tff(c_80923,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80918,c_124]) ).
tff(c_81718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74761,c_81646,c_81419,c_80923,c_22]) ).
tff(c_81719,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_81639]) ).
tff(c_81726,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81719,c_168]) ).
tff(c_81766,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_81726,c_80938,c_80924,c_20]) ).
tff(c_81720,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_81639]) ).
tff(c_81630,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81610,c_136]) ).
tff(c_81779,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_74763,c_81720,c_81630,c_30]) ).
tff(c_506,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_81876,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81405,c_74759,c_81755,c_81542,c_79573,c_81766,c_80918,c_81779,c_506]) ).
tff(c_81877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_198,c_196,c_81876]) ).
tff(c_81878,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_80933]) ).
tff(c_81879,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_80933]) ).
tff(c_81889,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_81879,c_54989,c_4]) ).
tff(c_82747,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_54986,c_94]) ).
tff(c_82748,plain,
( ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_82747]) ).
tff(c_82749,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_82748]) ).
tff(c_82753,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82749,c_192]) ).
tff(c_81894,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81889,c_160]) ).
tff(c_82565,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79580,c_54992,c_24]) ).
tff(c_82566,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_82565]) ).
tff(c_81895,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81889,c_164]) ).
tff(c_82553,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_79581,c_81895,c_92]) ).
tff(c_82554,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_82553]) ).
tff(c_82560,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82554,c_180]) ).
tff(c_82593,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_74761,c_82560,c_80923,c_22]) ).
tff(c_82637,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82566,c_82593,c_80918,c_76]) ).
tff(c_82638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_81894,c_196,c_82637]) ).
tff(c_82639,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_82565]) ).
tff(c_82645,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82639,c_192]) ).
tff(c_81900,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79577,c_12]) ).
tff(c_81901,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_81900]) ).
tff(c_81908,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81901,c_110]) ).
tff(c_81882,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81878,c_146]) ).
tff(c_82007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81908,c_79578,c_81882,c_80922,c_10]) ).
tff(c_82008,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_81900]) ).
tff(c_82010,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_82008]) ).
tff(c_82131,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_79578,c_81882,c_80922,c_10]) ).
tff(c_82034,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74763,c_30]) ).
tff(c_82035,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_82034]) ).
tff(c_82023,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79580,c_54992,c_24]) ).
tff(c_82024,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_82023]) ).
tff(c_82028,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82024,c_130]) ).
tff(c_82048,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_82028,c_81894,c_80924,c_20]) ).
tff(c_82072,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82048,c_82010,c_81889,c_62]) ).
tff(c_82073,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_82072]) ).
tff(c_82083,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82035,c_82073,c_84]) ).
tff(c_82084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54993,c_196,c_200,c_80925,c_82083]) ).
tff(c_82085,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_82034]) ).
tff(c_82087,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_82085]) ).
tff(c_82099,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82087,c_92]) ).
tff(c_82100,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_79581,c_196,c_81895,c_82099]) ).
tff(c_82251,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_82010,c_82131,c_82010,c_82100,c_82131,c_82010,c_82010,c_756]) ).
tff(c_82252,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_82085]) ).
tff(c_82259,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82252,c_144]) ).
tff(c_82320,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82024,c_79573,c_54986,c_86]) ).
tff(c_82321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82259,c_202,c_198,c_194,c_82320]) ).
tff(c_82322,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_82023]) ).
tff(c_82327,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82322,c_130]) ).
tff(c_82441,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_81894,c_82327,c_80924,c_20]) ).
tff(c_82516,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_81878,c_81889,c_81878,c_82441,c_81878,c_81889,c_81878,c_748]) ).
tff(c_82517,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_82008]) ).
tff(c_82522,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82517,c_166]) ).
tff(c_81883,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81878,c_152]) ).
tff(c_82653,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82554,c_88]) ).
tff(c_82654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82645,c_198,c_82522,c_81883,c_82653]) ).
tff(c_82656,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_82553]) ).
tff(c_82523,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82517,c_114]) ).
tff(c_82532,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_82523,c_14]) ).
tff(c_82538,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82532,c_178]) ).
tff(c_82655,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_82553]) ).
tff(c_82667,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82655,c_84]) ).
tff(c_82668,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_54993,c_82538,c_196,c_82667]) ).
tff(c_82680,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82668,c_82655,c_88]) ).
tff(c_82681,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_82680]) ).
tff(c_82682,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_82681]) ).
tff(c_82685,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82682,c_144]) ).
tff(c_82721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74763,c_82656,c_82685,c_82538,c_30]) ).
tff(c_82722,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_82681]) ).
tff(c_82728,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82722,c_180]) ).
tff(c_82733,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_74761,c_82728,c_80923,c_22]) ).
tff(c_82758,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82733,c_80918,c_80]) ).
tff(c_82759,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_82753,c_204,c_200,c_82758]) ).
tff(c_82843,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_81878,c_81889,c_81878,c_82759,c_81878,c_81889,c_81878,c_748]) ).
tff(c_82844,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_82748]) ).
tff(c_82848,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82844,c_130]) ).
tff(c_82860,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82668,c_82517,c_81889,c_62]) ).
tff(c_82861,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_82848,c_202,c_204,c_82860]) ).
tff(c_82862,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_80916]) ).
tff(c_82864,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_82862]) ).
tff(c_82867,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82864,c_148]) ).
tff(c_82877,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79581,c_54993,c_32]) ).
tff(c_82878,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_82877]) ).
tff(c_82882,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82878,c_142]) ).
tff(c_82881,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82878,c_140]) ).
tff(c_82872,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82864,c_156]) ).
tff(c_83291,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_74765,c_82867,c_54990,c_2]) ).
tff(c_83296,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83291,c_152]) ).
tff(c_83339,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_82881,c_82872,c_83296,c_26]) ).
tff(c_83353,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82878,c_83339,c_92]) ).
tff(c_83354,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_83353]) ).
tff(c_83355,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_83354]) ).
tff(c_83358,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83355,c_138]) ).
tff(c_83295,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83291,c_146]) ).
tff(c_82884,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82878,c_192]) ).
tff(c_83017,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74764,c_54989,c_4]) ).
tff(c_83018,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_83017]) ).
tff(c_83028,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_83018,c_40]) ).
tff(c_83029,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_83028]) ).
tff(c_82889,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_14]) ).
tff(c_82890,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_82889]) ).
tff(c_82893,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82890,c_174]) ).
tff(c_83003,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82864,c_72]) ).
tff(c_83004,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_82893,c_198,c_83003]) ).
tff(c_83005,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_83004]) ).
tff(c_83043,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83005,c_82864,c_80]) ).
tff(c_83044,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_74761,c_204,c_83043]) ).
tff(c_83173,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_83029,c_83018,c_83029,c_83044,c_83029,c_83018,c_83029,c_748]) ).
tff(c_83174,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_83017]) ).
tff(c_83238,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_83174,c_44]) ).
tff(c_83239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_82867,c_83238]) ).
tff(c_83240,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_83004]) ).
tff(c_83276,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83240,c_82864,c_80]) ).
tff(c_83277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82884,c_74761,c_202,c_204,c_83276]) ).
tff(c_83278,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_82889]) ).
tff(c_83283,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83278,c_112]) ).
tff(c_83304,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_79578,c_83295,c_83283,c_10]) ).
tff(c_83309,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83304,c_110]) ).
tff(c_83285,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83278,c_114]) ).
tff(c_83316,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_83309,c_79577,c_83285,c_12]) ).
tff(c_83322,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83316,c_166]) ).
tff(c_83343,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83339,c_134]) ).
tff(c_83392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82882,c_83358,c_83322,c_83343,c_28]) ).
tff(c_83394,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_83354]) ).
tff(c_82870,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82864,c_124]) ).
tff(c_83411,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83278,c_74759,c_74]) ).
tff(c_83412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83394,c_82870,c_196,c_204,c_83411]) ).
tff(c_83413,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_82877]) ).
tff(c_84047,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83413,c_96]) ).
tff(c_84048,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_74763,c_84047]) ).
tff(c_84049,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_84048]) ).
tff(c_84053,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84049,c_166]) ).
tff(c_83420,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83413,c_192]) ).
tff(c_84070,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82864,c_72]) ).
tff(c_84071,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_83420,c_198,c_84070]) ).
tff(c_84072,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_84071]) ).
tff(c_84077,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84072,c_174]) ).
tff(c_83426,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79578,c_10]) ).
tff(c_83427,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_83426]) ).
tff(c_83432,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83427,c_110]) ).
tff(c_83430,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83427,c_154]) ).
tff(c_83417,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83413,c_140]) ).
tff(c_83770,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_83430,c_82872,c_83417,c_26]) ).
tff(c_83441,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74764,c_54989,c_4]) ).
tff(c_83442,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_83441]) ).
tff(c_83447,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83442,c_164]) ).
tff(c_83759,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83413,c_92]) ).
tff(c_83760,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_83447,c_82872,c_83759]) ).
tff(c_83418,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83413,c_142]) ).
tff(c_82871,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82864,c_122]) ).
tff(c_83688,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_82871,c_20]) ).
tff(c_83689,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_83688]) ).
tff(c_83691,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83689,c_130]) ).
tff(c_83722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83691,c_79580,c_83420,c_54992,c_24]) ).
tff(c_83723,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_83688]) ).
tff(c_83726,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_83723]) ).
tff(c_83732,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83726,c_168]) ).
tff(c_83783,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_83447,c_83418,c_83732,c_28]) ).
tff(c_83909,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83770,c_54986,c_83760,c_79573,c_74759,c_82864,c_79573,c_83783,c_688]) ).
tff(c_83910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_200,c_198,c_83909]) ).
tff(c_83911,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_83723]) ).
tff(c_83916,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83911,c_162]) ).
tff(c_83520,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_83430,c_82872,c_83417,c_26]) ).
tff(c_83419,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83413,c_144]) ).
tff(c_83453,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_14]) ).
tff(c_83454,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_83453]) ).
tff(c_83457,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83454,c_174]) ).
tff(c_83510,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_74761,c_82870,c_83457,c_22]) ).
tff(c_83515,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83510,c_180]) ).
tff(c_83564,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_74763,c_83419,c_83515,c_30]) ).
tff(c_83459,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83454,c_114]) ).
tff(c_83464,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_83432,c_79577,c_83459,c_12]) ).
tff(c_83469,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83464,c_166]) ).
tff(c_83577,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_83447,c_83418,c_83469,c_28]) ).
tff(c_83675,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83520,c_54986,c_83564,c_79573,c_74759,c_82864,c_79573,c_83577,c_688]) ).
tff(c_83676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_200,c_198,c_83675]) ).
tff(c_83677,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_83453]) ).
tff(c_83683,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83677,c_114]) ).
tff(c_83946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83432,c_79577,c_83916,c_83683,c_12]) ).
tff(c_83947,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_83441]) ).
tff(c_83954,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83947,c_98]) ).
tff(c_84023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74765,c_82867,c_83954,c_54990,c_2]) ).
tff(c_84024,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_83426]) ).
tff(c_84026,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_84024]) ).
tff(c_84031,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84026,c_112]) ).
tff(c_84105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_84077,c_84031,c_14]) ).
tff(c_84106,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_84071]) ).
tff(c_84111,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84106,c_162]) ).
tff(c_84032,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84026,c_110]) ).
tff(c_84152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84053,c_79577,c_84111,c_84032,c_12]) ).
tff(c_84154,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_84048]) ).
tff(c_84037,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_74765,c_82867,c_54990,c_2]) ).
tff(c_84042,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84037,c_98]) ).
tff(c_84164,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_84042,c_54989,c_4]) ).
tff(c_84170,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84164,c_164]) ).
tff(c_84238,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_84154,c_84170,c_83418,c_28]) ).
tff(c_84309,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_83413,c_84238,c_83413,c_84164,c_84238,c_83413,c_83413,c_750]) ).
tff(c_84310,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_84024]) ).
tff(c_84314,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84310,c_146]) ).
tff(c_84370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74765,c_82867,c_84314,c_54990,c_2]) ).
tff(c_84371,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_82862]) ).
tff(c_84376,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84371,c_128]) ).
tff(c_85022,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_79580,c_84376,c_54992,c_24]) ).
tff(c_84937,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74764,c_54989,c_4]) ).
tff(c_84938,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_84937]) ).
tff(c_84944,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84938,c_98]) ).
tff(c_84375,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84371,c_148]) ).
tff(c_84973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74765,c_84944,c_84375,c_54990,c_2]) ).
tff(c_84974,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_84937]) ).
tff(c_85332,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_84974,c_44]) ).
tff(c_85333,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_85332]) ).
tff(c_84377,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84371,c_150]) ).
tff(c_84544,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79578,c_10]) ).
tff(c_84545,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_84544]) ).
tff(c_84550,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84545,c_110]) ).
tff(c_84379,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84371,c_122]) ).
tff(c_84556,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_84561,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84556,c_168]) ).
tff(c_84548,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84545,c_154]) ).
tff(c_84385,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79581,c_54993,c_32]) ).
tff(c_84386,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_84385]) ).
tff(c_84392,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84386,c_192]) ).
tff(c_84541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84392,c_79580,c_84376,c_54992,c_24]) ).
tff(c_84542,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_84385]) ).
tff(c_84581,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84542,c_96]) ).
tff(c_84582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_74763,c_84561,c_84548,c_84581]) ).
tff(c_84583,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_84597,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_84379,c_84583]) ).
tff(c_84598,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_84597]) ).
tff(c_84603,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84598,c_162]) ).
tff(c_84683,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_84550,c_79577,c_84603,c_12]) ).
tff(c_84687,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84683,c_158]) ).
tff(c_84714,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_74764,c_84687,c_54989,c_4]) ).
tff(c_84725,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_74759,c_84714,c_40]) ).
tff(c_84726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_84375,c_84725]) ).
tff(c_84727,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_84597]) ).
tff(c_84736,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84727,c_126]) ).
tff(c_84378,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84371,c_124]) ).
tff(c_84881,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_74761,c_84736,c_84378,c_22]) ).
tff(c_84934,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_84881,c_84371,c_84881,c_84545,c_84881,c_84371,c_84881,c_764]) ).
tff(c_84935,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_84544]) ).
tff(c_85011,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_84377,c_84935]) ).
tff(c_84987,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74762,c_79579,c_14]) ).
tff(c_84988,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_84987]) ).
tff(c_84993,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84988,c_178]) ).
tff(c_85016,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85011,c_154]) ).
tff(c_85034,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84542,c_84]) ).
tff(c_85035,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_85016,c_85034]) ).
tff(c_85036,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_85035]) ).
tff(c_85046,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84542,c_85036,c_96]) ).
tff(c_85047,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_85046]) ).
tff(c_85048,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_85047]) ).
tff(c_85054,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85048,c_166]) ).
tff(c_85091,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79573,c_84988,c_85011,c_64]) ).
tff(c_85092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_85054,c_200,c_85091]) ).
tff(c_85093,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_85047]) ).
tff(c_85160,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84542,c_85036,c_85093,c_92]) ).
tff(c_85161,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_85160]) ).
tff(c_85094,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_85047]) ).
tff(c_85027,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85022,c_130]) ).
tff(c_85109,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_85027,c_84379,c_20]) ).
tff(c_85110,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_85109]) ).
tff(c_85115,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85110,c_168]) ).
tff(c_84981,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84974,c_164]) ).
tff(c_85040,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85036,c_138]) ).
tff(c_85130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85094,c_85115,c_84981,c_85040,c_28]) ).
tff(c_85131,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_85109]) ).
tff(c_85265,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_84542,c_85161,c_84542,c_85131,c_85161,c_84542,c_84542,c_746]) ).
tff(c_85267,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_85035]) ).
tff(c_85290,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_74763,c_84993,c_85267,c_30]) ).
tff(c_85295,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85290,c_180]) ).
tff(c_85347,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_74761,c_85295,c_84378,c_22]) ).
tff(c_85437,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85022,c_74759,c_85333,c_85011,c_84542,c_85022,c_85347,c_85290,c_490]) ).
tff(c_85438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_202,c_196,c_85437]) ).
tff(c_85439,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_84987]) ).
tff(c_85456,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85439,c_112]) ).
tff(c_85474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85456,c_84377,c_84935]) ).
tff(c_85475,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_74758]) ).
tff(c_85477,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_85475]) ).
tff(c_85485,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_100]) ).
tff(c_87723,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85485,c_54990,c_2]) ).
tff(c_87724,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_87723]) ).
tff(c_87729,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87724,c_152]) ).
tff(c_85481,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_172]) ).
tff(c_85483,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_176]) ).
tff(c_85502,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54991,c_74756]) ).
tff(c_85503,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_85502]) ).
tff(c_85508,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85503,c_186]) ).
tff(c_85516,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_85508,c_85481,c_72]) ).
tff(c_85517,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_85516]) ).
tff(c_85533,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85517,c_168]) ).
tff(c_85514,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85493,c_96]) ).
tff(c_85515,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_85514]) ).
tff(c_85494,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85478,c_114]) ).
tff(c_85482,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_170]) ).
tff(c_85495,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85478,c_110]) ).
tff(c_85506,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85503,c_116]) ).
tff(c_85538,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_85495,c_85506,c_10]) ).
tff(c_85539,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_85538]) ).
tff(c_85484,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_102]) ).
tff(c_85575,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_85490,c_85484,c_54989,c_4]) ).
tff(c_85579,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85575,c_164]) ).
tff(c_85544,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85539,c_154]) ).
tff(c_85598,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_92]) ).
tff(c_85599,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_85579,c_85544,c_85598]) ).
tff(c_85564,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_85503,c_54986,c_90]) ).
tff(c_85565,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_85564]) ).
tff(c_85569,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85565,c_132]) ).
tff(c_85550,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_48]) ).
tff(c_85551,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_85490,c_85550]) ).
tff(c_85554,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85551,c_148]) ).
tff(c_85543,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85539,c_150]) ).
tff(c_85530,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85517,c_122]) ).
tff(c_85588,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_85554,c_85543,c_85530,c_18]) ).
tff(c_85592,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85588,c_124]) ).
tff(c_85626,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_85569,c_85481,c_85592,c_22]) ).
tff(c_85734,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85517,c_85477,c_85477,c_85539,c_85599,c_85565,c_85626,c_85599,c_490]) ).
tff(c_85735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_204,c_204,c_85734]) ).
tff(c_85736,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_85538]) ).
tff(c_85743,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85736,c_112]) ).
tff(c_85771,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_85494,c_85482,c_85743,c_14]) ).
tff(c_85776,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85771,c_178]) ).
tff(c_85762,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_85490,c_85484,c_54989,c_4]) ).
tff(c_85766,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85762,c_164]) ).
tff(c_85786,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_92]) ).
tff(c_85787,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_85776,c_85766,c_85786]) ).
tff(c_85815,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_85787,c_88]) ).
tff(c_85816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_85483,c_85533,c_198,c_85815]) ).
tff(c_85817,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_85516]) ).
tff(c_86068,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85817,c_156]) ).
tff(c_85492,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85478,c_162]) ).
tff(c_85818,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_85516]) ).
tff(c_85852,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_85492,c_85818,c_20]) ).
tff(c_85853,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_85852]) ).
tff(c_85856,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85853,c_130]) ).
tff(c_85875,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_85503,c_54986,c_90]) ).
tff(c_85876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_85856,c_198,c_196,c_85875]) ).
tff(c_85877,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_85852]) ).
tff(c_85847,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85817,c_156]) ).
tff(c_85829,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_92]) ).
tff(c_85830,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_85829]) ).
tff(c_85831,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_85830]) ).
tff(c_85910,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_85831,c_88]) ).
tff(c_85911,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_85847,c_85910]) ).
tff(c_85921,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_85490,c_85484,c_54989,c_4]) ).
tff(c_85824,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_192]) ).
tff(c_85932,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_85824,c_85508,c_54992,c_24]) ).
tff(c_85941,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85932,c_85877,c_85817,c_80]) ).
tff(c_85942,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_85941]) ).
tff(c_86059,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85877,c_85477,c_85911,c_85503,c_85921,c_85817,c_85942,c_85831,c_562]) ).
tff(c_86060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_196,c_204,c_86059]) ).
tff(c_86061,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_85830]) ).
tff(c_86073,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_86061]) ).
tff(c_86079,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86073,c_154]) ).
tff(c_86095,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_85494,c_85482,c_14]) ).
tff(c_86096,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_86095]) ).
tff(c_86078,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86073,c_152]) ).
tff(c_86187,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_44]) ).
tff(c_86188,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_86078,c_86187]) ).
tff(c_86084,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_86073,c_88]) ).
tff(c_86085,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_85483,c_198,c_86084]) ).
tff(c_86157,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_86085,c_86073,c_84]) ).
tff(c_86158,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_86157]) ).
tff(c_86167,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86158,c_86096,c_85477,c_78]) ).
tff(c_86168,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_86167]) ).
tff(c_86146,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_85495,c_86079,c_85506,c_10]) ).
tff(c_85823,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_144]) ).
tff(c_86106,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85817,c_68]) ).
tff(c_86107,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_54992,c_194,c_86106]) ).
tff(c_86108,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_86107]) ).
tff(c_86131,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86108,c_86096,c_85477,c_78]) ).
tff(c_86132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85823,c_200,c_204,c_202,c_86131]) ).
tff(c_86133,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_86107]) ).
tff(c_406,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_86295,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86096,c_86188,c_86168,c_86096,c_86146,c_86133,c_85477,c_86073,c_406]) ).
tff(c_86296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_194,c_194,c_86295]) ).
tff(c_86297,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_86095]) ).
tff(c_86302,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86297,c_112]) ).
tff(c_86309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85495,c_86079,c_85506,c_86302,c_10]) ).
tff(c_86310,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_86061]) ).
tff(c_86321,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85515,c_86310,c_88]) ).
tff(c_86322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_85483,c_198,c_86068,c_86321]) ).
tff(c_86324,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_85514]) ).
tff(c_85509,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85503,c_190]) ).
tff(c_86465,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_86324,c_85509,c_54993,c_32]) ).
tff(c_86471,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86465,c_192]) ).
tff(c_86778,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_86471,c_85508,c_54992,c_24]) ).
tff(c_86323,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_85514]) ).
tff(c_86325,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_86323]) ).
tff(c_86329,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86325,c_152]) ).
tff(c_86424,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_85490,c_85484,c_54989,c_4]) ).
tff(c_86451,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_86424,c_48]) ).
tff(c_86452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_86329,c_86451]) ).
tff(c_86453,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_86323]) ).
tff(c_86460,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86453,c_180]) ).
tff(c_86478,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_85494,c_85482,c_14]) ).
tff(c_86479,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_86478]) ).
tff(c_86492,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86479,c_174]) ).
tff(c_86500,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_86471,c_85508,c_54992,c_24]) ).
tff(c_86513,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86500,c_72]) ).
tff(c_86514,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_85481,c_86513]) ).
tff(c_86515,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_86514]) ).
tff(c_86519,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86515,c_122]) ).
tff(c_86476,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85485,c_54990,c_2]) ).
tff(c_86477,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_86476]) ).
tff(c_86538,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86477,c_38]) ).
tff(c_86539,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_86519,c_85506,c_202,c_86538]) ).
tff(c_86527,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_86460,c_86492,c_85481,c_22]) ).
tff(c_86482,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86477,c_148]) ).
tff(c_86531,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86527,c_124]) ).
tff(c_86591,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_86482,c_86519,c_86531,c_18]) ).
tff(c_86493,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86479,c_112]) ).
tff(c_86562,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_85495,c_86493,c_85506,c_10]) ).
tff(c_86470,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86465,c_142]) ).
tff(c_86522,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86515,c_168]) ).
tff(c_86577,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_85493,c_86470,c_86522,c_28]) ).
tff(c_656,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_86685,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86539,c_54986,c_86527,c_86479,c_85477,c_86591,c_86562,c_86577,c_656]) ).
tff(c_86686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_194,c_194,c_86685]) ).
tff(c_86688,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_86514]) ).
tff(c_86706,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_85492,c_86688,c_20]) ).
tff(c_86707,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_86706]) ).
tff(c_86710,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86707,c_160]) ).
tff(c_86717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85490,c_86710,c_85484,c_54989,c_4]) ).
tff(c_86718,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_86706]) ).
tff(c_86724,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86718,c_126]) ).
tff(c_86754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86460,c_86492,c_85481,c_86724,c_22]) ).
tff(c_86755,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_86478]) ).
tff(c_86868,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86453,c_86755,c_85477,c_74]) ).
tff(c_86869,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_86868]) ).
tff(c_86759,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86477,c_148]) ).
tff(c_86770,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86755,c_112]) ).
tff(c_86789,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_85495,c_85506,c_86770,c_10]) ).
tff(c_86793,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86789,c_150]) ).
tff(c_86809,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_86759,c_86793,c_18]) ).
tff(c_86810,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_86809]) ).
tff(c_86902,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86778,c_86869,c_86810,c_68]) ).
tff(c_86903,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_86902]) ).
tff(c_86799,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_85490,c_85484,c_54989,c_4]) ).
tff(c_86995,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86903,c_85477,c_85477,c_86789,c_86799,c_86810,c_86778,c_86453,c_466]) ).
tff(c_86996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_196,c_204,c_86995]) ).
tff(c_86997,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_86809]) ).
tff(c_87023,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86778,c_86997,c_72]) ).
tff(c_87024,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_85481,c_194,c_87023]) ).
tff(c_87003,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86997,c_156]) ).
tff(c_87011,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86465,c_86453,c_84]) ).
tff(c_87012,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_87003,c_87011]) ).
tff(c_87052,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86465,c_86453,c_87012,c_88]) ).
tff(c_87053,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_87052]) ).
tff(c_87137,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87024,c_85477,c_85477,c_86789,c_86477,c_86997,c_86799,c_87053,c_462]) ).
tff(c_87138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_200,c_196,c_87137]) ).
tff(c_87139,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_86476]) ).
tff(c_87146,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87139,c_98]) ).
tff(c_87186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85490,c_87146,c_85484,c_54989,c_4]) ).
tff(c_87187,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_85502]) ).
tff(c_87194,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87187,c_190]) ).
tff(c_87192,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87187,c_120]) ).
tff(c_87199,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54993,c_32]) ).
tff(c_87200,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_87199]) ).
tff(c_87204,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87200,c_144]) ).
tff(c_87191,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87187,c_116]) ).
tff(c_87212,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87200,c_92]) ).
tff(c_87213,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_87212]) ).
tff(c_87214,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_87213]) ).
tff(c_87250,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87200,c_87214,c_88]) ).
tff(c_87251,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_87250]) ).
tff(c_87252,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_87251]) ).
tff(c_87366,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87200,c_87214,c_87252,c_84]) ).
tff(c_87367,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_87366]) ).
tff(c_87205,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87200,c_192]) ).
tff(c_87193,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87187,c_186]) ).
tff(c_87239,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_87205,c_87193,c_54992,c_24]) ).
tff(c_87256,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87252,c_168]) ).
tff(c_87262,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_85492,c_87256,c_20]) ).
tff(c_87263,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_87262]) ).
tff(c_87267,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87263,c_160]) ).
tff(c_87298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85490,c_87267,c_85484,c_54989,c_4]) ).
tff(c_87299,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_87262]) ).
tff(c_87306,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87299,c_126]) ).
tff(c_87311,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87214,c_85477,c_66]) ).
tff(c_87312,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_87306,c_194,c_87311]) ).
tff(c_87322,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87214,c_87312,c_85477,c_78]) ).
tff(c_87323,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_87322]) ).
tff(c_87460,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87367,c_54986,c_87187,c_85478,c_87252,c_87239,c_87323,c_87214,c_650]) ).
tff(c_87461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_202,c_204,c_87460]) ).
tff(c_87462,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_87251]) ).
tff(c_87467,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87462,c_154]) ).
tff(c_87475,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_85494,c_87192,c_85482,c_14]) ).
tff(c_87480,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87475,c_112]) ).
tff(c_87533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85495,c_87191,c_87467,c_87480,c_10]) ).
tff(c_87535,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_87213]) ).
tff(c_87682,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_87204,c_87535,c_85483,c_30]) ).
tff(c_87687,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87682,c_178]) ).
tff(c_87707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85494,c_87192,c_85482,c_87687,c_14]) ).
tff(c_87708,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_87199]) ).
tff(c_87711,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_87194,c_87708]) ).
tff(c_87737,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85483,c_30]) ).
tff(c_87738,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_87737]) ).
tff(c_87937,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87738,c_85477,c_74]) ).
tff(c_87938,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_87192,c_198,c_87937]) ).
tff(c_87942,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87938,c_124]) ).
tff(c_87715,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87711,c_140]) ).
tff(c_87750,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_85492,c_20]) ).
tff(c_87751,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_87750]) ).
tff(c_87756,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87751,c_126]) ).
tff(c_87766,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87738,c_85477,c_74]) ).
tff(c_87767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_87756,c_87192,c_198,c_87766]) ).
tff(c_87768,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_87750]) ).
tff(c_87770,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_87768]) ).
tff(c_87777,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87770,c_168]) ).
tff(c_87855,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87738,c_85477,c_74]) ).
tff(c_87856,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_87192,c_198,c_87855]) ).
tff(c_87860,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87856,c_124]) ).
tff(c_87782,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87724,c_38]) ).
tff(c_87783,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_87715,c_202,c_87782]) ).
tff(c_87784,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_87783]) ).
tff(c_87818,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87784,c_87724,c_42]) ).
tff(c_87819,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_87191,c_204,c_87818]) ).
tff(c_87828,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87711,c_87738,c_87819,c_84]) ).
tff(c_87829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_87777,c_196,c_87828]) ).
tff(c_87830,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_87783]) ).
tff(c_87875,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87830,c_87724,c_42]) ).
tff(c_87876,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_87860,c_198,c_204,c_87875]) ).
tff(c_87904,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87711,c_87738,c_87876,c_84]) ).
tff(c_87905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_87777,c_196,c_87904]) ).
tff(c_87906,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_87768]) ).
tff(c_87911,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87906,c_122]) ).
tff(c_87920,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87724,c_38]) ).
tff(c_87921,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_87715,c_87911,c_202,c_87920]) ).
tff(c_87948,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87921,c_87724,c_42]) ).
tff(c_87949,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_87942,c_198,c_204,c_87948]) ).
tff(c_87984,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87711,c_87738,c_87949,c_84]) ).
tff(c_87985,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_87984]) ).
tff(c_88000,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_85490,c_85484,c_54989,c_4]) ).
tff(c_88058,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_87711,c_87985,c_87711,c_88000,c_87985,c_87711,c_87711,c_750]) ).
tff(c_88059,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_87737]) ).
tff(c_88197,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_88059]) ).
tff(c_88208,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88197,c_85477,c_78]) ).
tff(c_88209,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_85494,c_202,c_88208]) ).
tff(c_88211,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88209,c_132]) ).
tff(c_87718,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87711,c_192]) ).
tff(c_88231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88211,c_87193,c_87718,c_54992,c_24]) ).
tff(c_88232,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_88059]) ).
tff(c_88280,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87711,c_88232,c_96]) ).
tff(c_88281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_85493,c_87729,c_88280]) ).
tff(c_88282,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_87723]) ).
tff(c_88289,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88282,c_98]) ).
tff(c_88391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85490,c_88289,c_85484,c_54989,c_4]) ).
tff(c_88393,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_88397,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_170]) ).
tff(c_94752,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88397,c_14]) ).
tff(c_94753,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_94752]) ).
tff(c_94758,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94753,c_178]) ).
tff(c_88396,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_172]) ).
tff(c_88405,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_88396,c_72]) ).
tff(c_88406,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_88405]) ).
tff(c_88411,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_186]) ).
tff(c_88417,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_54991,c_88411,c_74756]) ).
tff(c_88423,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88417,c_120]) ).
tff(c_88424,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88417,c_190]) ).
tff(c_88412,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_192]) ).
tff(c_88398,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_176]) ).
tff(c_88429,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88397,c_14]) ).
tff(c_88430,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_88429]) ).
tff(c_88434,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88430,c_178]) ).
tff(c_89686,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88434,c_96]) ).
tff(c_89687,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_89686]) ).
tff(c_89692,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89687,c_142]) ).
tff(c_88399,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_102]) ).
tff(c_89500,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88399,c_54989,c_4]) ).
tff(c_89501,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_89500]) ).
tff(c_89506,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89501,c_98]) ).
tff(c_88400,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_100]) ).
tff(c_89626,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_89506,c_88400,c_54990,c_2]) ).
tff(c_89673,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89626,c_85477,c_89626,c_88430,c_89626,c_85477,c_89626,c_736]) ).
tff(c_89674,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_89500]) ).
tff(c_89679,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89674,c_164]) ).
tff(c_88433,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88430,c_112]) ).
tff(c_88422,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88417,c_116]) ).
tff(c_88421,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88417,c_118]) ).
tff(c_88392,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_88441,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_88421,c_88392]) ).
tff(c_88442,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_88441]) ).
tff(c_88448,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88442,c_110]) ).
tff(c_88432,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88430,c_174]) ).
tff(c_88465,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_80]) ).
tff(c_88466,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_88432,c_88465]) ).
tff(c_88467,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_88466]) ).
tff(c_88473,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88467,c_168]) ).
tff(c_88453,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_88424,c_92]) ).
tff(c_88454,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_88453]) ).
tff(c_88480,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88454,c_96]) ).
tff(c_88481,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_88473,c_88480]) ).
tff(c_88482,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_88481]) ).
tff(c_88486,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88482,c_140]) ).
tff(c_88457,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88454,c_136]) ).
tff(c_88458,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88454,c_138]) ).
tff(c_88447,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88442,c_166]) ).
tff(c_88702,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_88473,c_88458,c_88447,c_28]) ).
tff(c_88706,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88702,c_134]) ).
tff(c_88471,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88467,c_160]) ).
tff(c_88536,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_88471,c_88399,c_54989,c_4]) ).
tff(c_88508,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_88473,c_88458,c_88447,c_28]) ).
tff(c_88517,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_48]) ).
tff(c_88518,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_88471,c_88517]) ).
tff(c_88496,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_88448,c_54990,c_34]) ).
tff(c_88497,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_88496]) ).
tff(c_88657,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88430,c_88536,c_88454,c_88417,c_88508,c_88406,c_88518,c_88497,c_454]) ).
tff(c_88658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_202,c_200,c_88657]) ).
tff(c_88660,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_88496]) ).
tff(c_88715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88486,c_88457,c_88706,c_88660,c_26]) ).
tff(c_88716,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_88481]) ).
tff(c_88470,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88467,c_122]) ).
tff(c_88409,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_128]) ).
tff(c_88728,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_88470,c_88409,c_18]) ).
tff(c_88729,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_88728]) ).
tff(c_88751,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88716,c_88729,c_34]) ).
tff(c_88752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_88448,c_54990,c_88751]) ).
tff(c_88753,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_88728]) ).
tff(c_88759,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88753,c_124]) ).
tff(c_88809,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88454,c_88430,c_85477,c_66]) ).
tff(c_88810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_88759,c_200,c_194,c_88809]) ).
tff(c_88811,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_88466]) ).
tff(c_88814,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88811,c_148]) ).
tff(c_88936,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_88814,c_88400,c_54990,c_2]) ).
tff(c_88980,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88936,c_85477,c_88936,c_88430,c_88936,c_85477,c_88936,c_736]) ).
tff(c_88982,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_88453]) ).
tff(c_88446,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88442,c_162]) ).
tff(c_89326,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_88432,c_88396,c_22]) ).
tff(c_89327,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_89326]) ).
tff(c_89330,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89327,c_124]) ).
tff(c_89004,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88399,c_54989,c_4]) ).
tff(c_89005,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_89004]) ).
tff(c_89010,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89005,c_98]) ).
tff(c_88981,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_88453]) ).
tff(c_88983,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_88981]) ).
tff(c_88987,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88983,c_152]) ).
tff(c_89086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89010,c_88987,c_88400,c_54990,c_2]) ).
tff(c_89087,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_89004]) ).
tff(c_89091,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89087,c_160]) ).
tff(c_88410,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_130]) ).
tff(c_89099,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_89091,c_88410,c_88446,c_20]) ).
tff(c_88984,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88983,c_134]) ).
tff(c_89110,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88984,c_88447,c_28]) ).
tff(c_89111,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_89110]) ).
tff(c_89105,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89099,c_168]) ).
tff(c_89121,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89111,c_89105]) ).
tff(c_89122,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_89110]) ).
tff(c_89182,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89122,c_88983,c_96]) ).
tff(c_89183,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_88434,c_202,c_204,c_89182]) ).
tff(c_89204,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89183,c_89122,c_88983,c_84]) ).
tff(c_89205,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_89204]) ).
tff(c_89103,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89099,c_122]) ).
tff(c_88989,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88983,c_156]) ).
tff(c_89152,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_89103,c_88989,c_88409,c_18]) ).
tff(c_586,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_89283,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89099,c_85477,c_89205,c_88417,c_89122,c_88406,c_89152,c_89205,c_586]) ).
tff(c_89284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_196,c_89283]) ).
tff(c_89286,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_88981]) ).
tff(c_89297,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_89286,c_26]) ).
tff(c_89298,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_89297]) ).
tff(c_89301,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89298,c_140]) ).
tff(c_89311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89301,c_88424,c_88412,c_54993,c_32]) ).
tff(c_89312,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_89297]) ).
tff(c_89314,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_89312]) ).
tff(c_89321,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_89314,c_156]) ).
tff(c_89357,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_89330,c_88409,c_89321,c_18]) ).
tff(c_89379,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_89327,c_89357,c_68]) ).
tff(c_89380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_88446,c_200,c_89379]) ).
tff(c_89381,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_89326]) ).
tff(c_89459,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89381,c_88430,c_85477,c_74]) ).
tff(c_89460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88982,c_196,c_204,c_198,c_89459]) ).
tff(c_89461,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_89312]) ).
tff(c_89468,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89461,c_154]) ).
tff(c_89486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88433,c_88422,c_89468,c_88448,c_10]) ).
tff(c_89487,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_88441]) ).
tff(c_89493,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89487,c_166]) ).
tff(c_89713,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_89692,c_89679,c_89493,c_28]) ).
tff(c_89723,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89687,c_89713,c_88]) ).
tff(c_89724,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_88398,c_194,c_89723]) ).
tff(c_89735,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89687,c_89713,c_89724,c_92]) ).
tff(c_89736,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_89735]) ).
tff(c_89678,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89674,c_160]) ).
tff(c_89698,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_89678,c_88410,c_20]) ).
tff(c_89699,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_89698]) ).
tff(c_438,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_89875,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88430,c_89674,c_89736,c_88417,c_88417,c_89699,c_89674,c_89724,c_438]) ).
tff(c_89876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_198,c_196,c_89875]) ).
tff(c_89877,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_89698]) ).
tff(c_89885,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_89877,c_168]) ).
tff(c_89891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89692,c_89679,c_89493,c_89885,c_28]) ).
tff(c_89892,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_89686]) ).
tff(c_89896,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_89892]) ).
tff(c_89897,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89896,c_134]) ).
tff(c_89911,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_89897,c_89679,c_89493,c_28]) ).
tff(c_89922,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89911,c_89896,c_88]) ).
tff(c_89923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88412,c_88398,c_194,c_202,c_89922]) ).
tff(c_89924,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_89892]) ).
tff(c_89938,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89924,c_92]) ).
tff(c_89939,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_88424,c_204,c_89938]) ).
tff(c_89940,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_89939]) ).
tff(c_89981,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89940,c_88430,c_85477,c_66]) ).
tff(c_89982,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_89981]) ).
tff(c_89987,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_89982,c_126]) ).
tff(c_90016,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89924,c_89487,c_89674,c_50]) ).
tff(c_90017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_89987,c_194,c_196,c_90016]) ).
tff(c_90018,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_89939]) ).
tff(c_90025,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90018,c_156]) ).
tff(c_90030,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88430,c_85477,c_66]) ).
tff(c_90031,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_90030]) ).
tff(c_90032,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_90031]) ).
tff(c_90058,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90032,c_89924,c_90018,c_88]) ).
tff(c_90059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88412,c_194,c_202,c_198,c_90058]) ).
tff(c_90060,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_90031]) ).
tff(c_90064,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90060,c_124]) ).
tff(c_90073,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_90025,c_88409,c_90064,c_18]) ).
tff(c_90077,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90073,c_148]) ).
tff(c_90088,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_89674,c_48]) ).
tff(c_90089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_90077,c_90088]) ).
tff(c_90090,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_88429]) ).
tff(c_90092,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_88423,c_90090]) ).
tff(c_90099,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90092,c_114]) ).
tff(c_90106,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_90099,c_88421,c_88392]) ).
tff(c_90504,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88417,c_90092,c_90106,c_64]) ).
tff(c_90505,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_90504]) ).
tff(c_90509,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90505,c_146]) ).
tff(c_90355,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_88424,c_88412,c_54993,c_32]) ).
tff(c_90360,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90355,c_144]) ).
tff(c_90151,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_48]) ).
tff(c_90152,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_90151]) ).
tff(c_90153,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_90152]) ).
tff(c_90118,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88409,c_18]) ).
tff(c_90119,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_90118]) ).
tff(c_90122,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90119,c_150]) ).
tff(c_90135,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88417,c_90092,c_90106,c_64]) ).
tff(c_90136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_90122,c_90135]) ).
tff(c_90137,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_90118]) ).
tff(c_90139,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_90137]) ).
tff(c_90156,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90153,c_160]) ).
tff(c_90145,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90139,c_122]) ).
tff(c_90231,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_90156,c_88410,c_90145,c_20]) ).
tff(c_90113,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90106,c_110]) ).
tff(c_90097,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90092,c_112]) ).
tff(c_90179,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_88422,c_90113,c_90097,c_10]) ).
tff(c_90184,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90179,c_154]) ).
tff(c_90163,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_88424,c_92]) ).
tff(c_90164,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_90163]) ).
tff(c_90167,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90164,c_136]) ).
tff(c_90146,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90139,c_156]) ).
tff(c_90221,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_90184,c_90167,c_90146,c_26]) ).
tff(c_90336,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88417,c_90153,c_90139,c_90092,c_90092,c_90231,c_90153,c_90221,c_406]) ).
tff(c_90337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_194,c_200,c_90336]) ).
tff(c_90339,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_90163]) ).
tff(c_90098,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90092,c_178]) ).
tff(c_90395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90360,c_90339,c_88398,c_90098,c_30]) ).
tff(c_90396,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_90152]) ).
tff(c_90400,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90396,c_146]) ).
tff(c_90450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90400,c_88422,c_90113,c_90097,c_10]) ).
tff(c_90451,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_90137]) ).
tff(c_90481,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90451,c_148]) ).
tff(c_90582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90509,c_90481,c_88400,c_54990,c_2]) ).
tff(c_90584,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_88405]) ).
tff(c_93620,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_90596,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_90601,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90596,c_192]) ).
tff(c_90600,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90596,c_144]) ).
tff(c_90607,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54991,c_74756]) ).
tff(c_90608,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_90607]) ).
tff(c_90621,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90596,c_90608,c_54986,c_90]) ).
tff(c_90622,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_90621]) ).
tff(c_90583,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_88405]) ).
tff(c_90585,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_90583]) ).
tff(c_90643,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90622,c_90585,c_80]) ).
tff(c_90644,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_90643]) ).
tff(c_90645,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_90644]) ).
tff(c_90648,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90645,c_126]) ).
tff(c_90627,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90622,c_130]) ).
tff(c_90590,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90585,c_122]) ).
tff(c_90611,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90608,c_118]) ).
tff(c_90619,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_90611,c_88392]) ).
tff(c_90620,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_90619]) ).
tff(c_90635,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90620,c_162]) ).
tff(c_90702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90648,c_90627,c_90590,c_90635,c_20]) ).
tff(c_90703,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_90644]) ).
tff(c_90709,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90703,c_126]) ).
tff(c_90626,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90622,c_132]) ).
tff(c_90773,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_90709,c_90626,c_88396,c_22]) ).
tff(c_90791,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90773,c_85477,c_78]) ).
tff(c_90792,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_90600,c_200,c_202,c_90791]) ).
tff(c_90708,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90703,c_160]) ).
tff(c_90717,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_90708,c_88399,c_54989,c_4]) ).
tff(c_90599,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90596,c_142]) ).
tff(c_90721,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90717,c_164]) ).
tff(c_90636,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90620,c_166]) ).
tff(c_90727,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_90599,c_90721,c_90636,c_28]) ).
tff(c_90778,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90773,c_180]) ).
tff(c_90805,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_90600,c_88398,c_90778,c_30]) ).
tff(c_90911,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90792,c_90717,c_90727,c_90608,c_90585,c_90773,c_90773,c_90805,c_450]) ).
tff(c_90912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_198,c_196,c_90911]) ).
tff(c_90913,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_90619]) ).
tff(c_90920,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90913,c_114]) ).
tff(c_91225,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_90920,c_88397,c_14]) ).
tff(c_91226,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_91225]) ).
tff(c_91229,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91226,c_174]) ).
tff(c_91214,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90596,c_90608,c_54986,c_90]) ).
tff(c_91215,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_91214]) ).
tff(c_91236,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91215,c_90585,c_80]) ).
tff(c_91237,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_91229,c_202,c_91236]) ).
tff(c_91240,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91237,c_160]) ).
tff(c_90917,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90913,c_158]) ).
tff(c_91274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91240,c_90917,c_88399,c_54989,c_4]) ).
tff(c_91275,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_91225]) ).
tff(c_91282,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91275,c_178]) ).
tff(c_90919,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90913,c_166]) ).
tff(c_91376,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_90599,c_90919,c_28]) ).
tff(c_91377,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_91376]) ).
tff(c_90918,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90913,c_162]) ).
tff(c_90940,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_90918,c_90590,c_20]) ).
tff(c_90941,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_90940]) ).
tff(c_90945,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90941,c_160]) ).
tff(c_91011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90945,c_90917,c_88399,c_54989,c_4]) ).
tff(c_91012,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_90940]) ).
tff(c_91018,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91012,c_126]) ).
tff(c_90927,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90596,c_92]) ).
tff(c_90928,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_90919,c_90927]) ).
tff(c_90929,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_90928]) ).
tff(c_91073,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90929,c_85477,c_66]) ).
tff(c_91074,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_91018,c_194,c_91073]) ).
tff(c_90921,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90913,c_110]) ).
tff(c_90588,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90585,c_150]) ).
tff(c_91019,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91012,c_168]) ).
tff(c_91047,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90596,c_90929,c_84]) ).
tff(c_91048,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_91019,c_91047]) ).
tff(c_91054,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91048,c_154]) ).
tff(c_91063,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_90921,c_90588,c_91054,c_10]) ).
tff(c_90935,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90929,c_180]) ).
tff(c_91097,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_90935,c_88396,c_91018,c_22]) ).
tff(c_91200,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91012,c_85477,c_91074,c_90913,c_91063,c_91012,c_91097,c_90929,c_506]) ).
tff(c_91201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_202,c_204,c_91200]) ).
tff(c_91202,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_90928]) ).
tff(c_91403,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90596,c_91377,c_91202,c_84]) ).
tff(c_91404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_91282,c_194,c_196,c_91403]) ).
tff(c_91405,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_91376]) ).
tff(c_91425,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90596,c_91405,c_91202,c_88]) ).
tff(c_91426,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_88398,c_194,c_198,c_91425]) ).
tff(c_91427,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_90607]) ).
tff(c_91434,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91427,c_186]) ).
tff(c_91468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90601,c_91434,c_90584,c_54992,c_24]) ).
tff(c_91470,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_91471,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54991,c_74756]) ).
tff(c_91472,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_91471]) ).
tff(c_91479,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91472,c_190]) ).
tff(c_92227,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_91470,c_91479,c_54993,c_32]) ).
tff(c_91469,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_92415,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91469]) ).
tff(c_92421,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92415,c_136]) ).
tff(c_91475,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91472,c_118]) ).
tff(c_91484,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88397,c_14]) ).
tff(c_91485,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_91484]) ).
tff(c_91489,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91485,c_178]) ).
tff(c_91593,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_91489,c_91469]) ).
tff(c_91594,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91593]) ).
tff(c_91601,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91594,c_152]) ).
tff(c_91488,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91485,c_112]) ).
tff(c_91495,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_91475,c_88392]) ).
tff(c_91496,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_91495]) ).
tff(c_91502,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91496,c_110]) ).
tff(c_91611,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_91488,c_90588,c_91502,c_10]) ).
tff(c_91615,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91611,c_146]) ).
tff(c_91630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91601,c_91615,c_88400,c_54990,c_2]) ).
tff(c_91631,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_91593]) ).
tff(c_90591,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90585,c_156]) ).
tff(c_91570,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_91470,c_91479,c_54993,c_32]) ).
tff(c_91575,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91570,c_142]) ).
tff(c_91501,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91496,c_166]) ).
tff(c_91633,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_91575,c_91501,c_28]) ).
tff(c_91634,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_91633]) ).
tff(c_91659,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91570,c_91634,c_88]) ).
tff(c_91660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_88398,c_202,c_90591,c_91659]) ).
tff(c_91661,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_91633]) ).
tff(c_91683,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_91631,c_91661]) ).
tff(c_91685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_91683]) ).
tff(c_91686,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_91495]) ).
tff(c_91690,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91686,c_158]) ).
tff(c_91737,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_91470,c_91479,c_54993,c_32]) ).
tff(c_91699,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88399,c_54989,c_4]) ).
tff(c_91700,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_91699]) ).
tff(c_91704,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91700,c_164]) ).
tff(c_91692,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91686,c_166]) ).
tff(c_91703,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91700,c_160]) ).
tff(c_91691,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91686,c_162]) ).
tff(c_91726,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_91703,c_91691,c_90590,c_20]) ).
tff(c_91732,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91726,c_168]) ).
tff(c_91748,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_91704,c_91692,c_91732,c_28]) ).
tff(c_91711,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_91704,c_91489,c_91469]) ).
tff(c_91806,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91737,c_91748,c_91711,c_84]) ).
tff(c_91807,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_91806]) ).
tff(c_91866,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_91737,c_91807,c_91737,c_85477,c_91807,c_91737,c_91737,c_738]) ).
tff(c_91867,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_91699]) ).
tff(c_91869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91690,c_91867]) ).
tff(c_91870,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_91484]) ).
tff(c_91872,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_91870]) ).
tff(c_91875,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91872,c_174]) ).
tff(c_91946,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_90584,c_54992,c_24]) ).
tff(c_91947,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_91946]) ).
tff(c_91951,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91947,c_130]) ).
tff(c_91878,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91872,c_114]) ).
tff(c_91885,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_91878,c_91475,c_88392]) ).
tff(c_91890,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91885,c_162]) ).
tff(c_92023,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_91951,c_91890,c_90590,c_20]) ).
tff(c_91897,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91469]) ).
tff(c_91906,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91897,c_154]) ).
tff(c_91892,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91885,c_110]) ).
tff(c_91876,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91872,c_112]) ).
tff(c_91932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91906,c_91892,c_90588,c_91876,c_10]) ).
tff(c_91933,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_91469]) ).
tff(c_91935,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_91933]) ).
tff(c_91939,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91935,c_138]) ).
tff(c_91891,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91885,c_166]) ).
tff(c_91993,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_91939,c_91891,c_28]) ).
tff(c_91994,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_91993]) ).
tff(c_91980,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91472,c_91872,c_91885,c_64]) ).
tff(c_91981,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_91980]) ).
tff(c_570,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_92138,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92023,c_85477,c_91994,c_91472,c_91981,c_92023,c_91947,c_91935,c_570]) ).
tff(c_92139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_202,c_204,c_92138]) ).
tff(c_92140,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_91993]) ).
tff(c_92145,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92140,c_168]) ).
tff(c_92164,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91947,c_90585,c_68]) ).
tff(c_92165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_91875,c_92145,c_194,c_92164]) ).
tff(c_92166,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_91946]) ).
tff(c_92172,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92166,c_192]) ).
tff(c_92189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91470,c_92172,c_91479,c_54993,c_32]) ).
tff(c_92190,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_91933]) ).
tff(c_92197,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92190,c_164]) ).
tff(c_91889,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91885,c_158]) ).
tff(c_92213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92197,c_91889,c_88399,c_54989,c_4]) ).
tff(c_92214,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_91870]) ).
tff(c_92221,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92214,c_114]) ).
tff(c_92239,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_91475,c_92221,c_88392]) ).
tff(c_92244,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92239,c_162]) ).
tff(c_92251,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_90590,c_92244,c_20]) ).
tff(c_92252,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_92251]) ).
tff(c_92256,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92252,c_160]) ).
tff(c_92326,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88400,c_54990,c_2]) ).
tff(c_92327,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_92326]) ).
tff(c_92330,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92327,c_146]) ).
tff(c_92219,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92214,c_112]) ).
tff(c_92246,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92239,c_110]) ).
tff(c_92353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92330,c_92219,c_90588,c_92246,c_10]) ).
tff(c_92354,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_92326]) ).
tff(c_92400,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_92354,c_48]) ).
tff(c_92401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_92256,c_204,c_92400]) ).
tff(c_92402,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_92251]) ).
tff(c_92441,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92402,c_90585,c_80]) ).
tff(c_92442,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_92441]) ).
tff(c_92443,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_92442]) ).
tff(c_92447,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92443,c_132]) ).
tff(c_92466,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92214,c_85477,c_78]) ).
tff(c_92467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92421,c_92447,c_204,c_202,c_92466]) ).
tff(c_92469,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_92442]) ).
tff(c_92234,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92227,c_192]) ).
tff(c_92482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92469,c_92234,c_90584,c_54992,c_24]) ).
tff(c_92483,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_91469]) ).
tff(c_92485,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_92483]) ).
tff(c_92490,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92485,c_180]) ).
tff(c_92519,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92402,c_90585,c_80]) ).
tff(c_92520,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_92490,c_204,c_202,c_92519]) ).
tff(c_92535,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92520,c_92402,c_90585,c_68]) ).
tff(c_92536,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_92535]) ).
tff(c_92544,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_92219,c_90588,c_92246,c_10]) ).
tff(c_92645,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92536,c_90585,c_92536,c_92544,c_92536,c_90585,c_92536,c_764]) ).
tff(c_92646,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_92483]) ).
tff(c_92657,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92227,c_92646,c_84]) ).
tff(c_92658,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_92657]) ).
tff(c_92659,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_92658]) ).
tff(c_92670,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92227,c_92659,c_92646,c_88]) ).
tff(c_92671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_90591,c_92670]) ).
tff(c_92672,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_92658]) ).
tff(c_92686,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92227,c_92646,c_92672,c_88]) ).
tff(c_92687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_88398,c_202,c_194,c_92686]) ).
tff(c_92688,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_91471]) ).
tff(c_92696,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92688,c_190]) ).
tff(c_92702,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_91470,c_92696,c_54993,c_32]) ).
tff(c_92875,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91469]) ).
tff(c_92879,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92875,c_152]) ).
tff(c_92936,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_92879,c_88400,c_54990,c_2]) ).
tff(c_92727,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91469]) ).
tff(c_92693,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92688,c_116]) ).
tff(c_92692,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92688,c_118]) ).
tff(c_92714,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_92692,c_88392]) ).
tff(c_92715,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_92714]) ).
tff(c_92722,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92715,c_110]) ).
tff(c_92728,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_92693,c_90588,c_92722,c_10]) ).
tff(c_92733,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92728,c_154]) ).
tff(c_92748,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92727,c_92733]) ).
tff(c_92749,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_91469]) ).
tff(c_92751,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_92749]) ).
tff(c_92755,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92751,c_178]) ).
tff(c_92694,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92688,c_120]) ).
tff(c_92721,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92715,c_114]) ).
tff(c_92820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92755,c_92694,c_88397,c_92721,c_14]) ).
tff(c_92821,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_92749]) ).
tff(c_92828,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92821,c_164]) ).
tff(c_92835,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_92693,c_90588,c_92722,c_10]) ).
tff(c_92839,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92835,c_146]) ).
tff(c_92857,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_48]) ).
tff(c_92858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_92828,c_92839,c_92857]) ).
tff(c_92859,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_92714]) ).
tff(c_92880,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92875,c_154]) ).
tff(c_92885,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_92880,c_92693,c_90588,c_10]) ).
tff(c_92944,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92688,c_92859,c_92885,c_64]) ).
tff(c_92945,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_92944]) ).
tff(c_93035,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92936,c_85477,c_92936,c_92945,c_92936,c_85477,c_92936,c_736]) ).
tff(c_93036,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_91469]) ).
tff(c_93038,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_93036]) ).
tff(c_93060,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92702,c_93038,c_92]) ).
tff(c_93061,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_93060]) ).
tff(c_93062,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_93061]) ).
tff(c_93066,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93062,c_168]) ).
tff(c_93095,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_93066,c_90590,c_20]) ).
tff(c_93096,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_93095]) ).
tff(c_93100,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93096,c_160]) ).
tff(c_93042,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93038,c_178]) ).
tff(c_93050,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_93042,c_92694,c_88397,c_14]) ).
tff(c_93055,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_93050,c_112]) ).
tff(c_93085,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_92693,c_90588,c_93055,c_10]) ).
tff(c_93089,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93085,c_146]) ).
tff(c_93105,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_48]) ).
tff(c_93106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_93100,c_93089,c_93105]) ).
tff(c_93107,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_93095]) ).
tff(c_93237,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92702,c_93062,c_92702,c_93107,c_92702,c_93062,c_92702,c_746]) ).
tff(c_93238,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_93061]) ).
tff(c_93259,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92688,c_93050,c_92859,c_64]) ).
tff(c_93260,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_93259]) ).
tff(c_93279,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93238,c_90585,c_93260,c_34]) ).
tff(c_93280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_54990,c_93279]) ).
tff(c_93282,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_93036]) ).
tff(c_93037,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_91469]) ).
tff(c_93281,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_93036]) ).
tff(c_93387,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92702,c_93281,c_92]) ).
tff(c_93388,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_93387]) ).
tff(c_93389,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_93388]) ).
tff(c_93392,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93389,c_136]) ).
tff(c_93294,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_92693,c_90588,c_10]) ).
tff(c_93295,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_93294]) ).
tff(c_93298,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93295,c_146]) ).
tff(c_93287,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93281,c_164]) ).
tff(c_93317,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_93287,c_88399,c_54989,c_4]) ).
tff(c_93362,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_93317,c_48]) ).
tff(c_93363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_93298,c_93362]) ).
tff(c_93364,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_93294]) ).
tff(c_93369,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_93364,c_154]) ).
tff(c_93433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93037,c_93392,c_90591,c_93369,c_26]) ).
tff(c_93435,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_93388]) ).
tff(c_93455,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_93282,c_93435,c_88398,c_30]) ).
tff(c_93459,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_93455,c_180]) ).
tff(c_92695,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92688,c_186]) ).
tff(c_93468,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_92695,c_90584,c_54992,c_24]) ).
tff(c_93286,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93281,c_168]) ).
tff(c_93486,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_93286,c_90590,c_20]) ).
tff(c_93487,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_93486]) ).
tff(c_93500,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93468,c_93487,c_90585,c_68]) ).
tff(c_93501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_93459,c_196,c_194,c_93500]) ).
tff(c_93502,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_93486]) ).
tff(c_93515,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_93287,c_88399,c_54989,c_4]) ).
tff(c_93606,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93502,c_85477,c_93455,c_92688,c_93515,c_90585,c_90585,c_93455,c_562]) ).
tff(c_93607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_196,c_198,c_93606]) ).
tff(c_93608,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_90583]) ).
tff(c_93615,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93608,c_168]) ).
tff(c_93631,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54991,c_74756]) ).
tff(c_93632,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_93631]) ).
tff(c_93613,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93608,c_162]) ).
tff(c_93654,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_93613,c_88392]) ).
tff(c_93655,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_93654]) ).
tff(c_93671,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93632,c_93655,c_64]) ).
tff(c_93672,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_93671]) ).
tff(c_93673,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_93672]) ).
tff(c_93686,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93673,c_174]) ).
tff(c_93643,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93620,c_93632,c_54986,c_90]) ).
tff(c_93644,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_93643]) ).
tff(c_93697,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93644,c_93608,c_80]) ).
tff(c_93698,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_93686,c_202,c_93697]) ).
tff(c_93701,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93698,c_148]) ).
tff(c_93687,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93673,c_112]) ).
tff(c_93710,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88399,c_54989,c_4]) ).
tff(c_93711,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_93710]) ).
tff(c_93745,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_93711,c_44]) ).
tff(c_93746,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_93745]) ).
tff(c_93750,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93746,c_146]) ).
tff(c_93636,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93632,c_116]) ).
tff(c_93661,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_93655,c_110]) ).
tff(c_93755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93687,c_93750,c_93636,c_93661,c_10]) ).
tff(c_93756,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_93710]) ).
tff(c_93802,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_93756,c_48]) ).
tff(c_93803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_93701,c_93802]) ).
tff(c_93805,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_93672]) ).
tff(c_93668,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93620,c_92]) ).
tff(c_93669,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_93668]) ).
tff(c_93670,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_93669]) ).
tff(c_93810,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93670,c_178]) ).
tff(c_93660,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_93655,c_114]) ).
tff(c_93868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93805,c_93810,c_88397,c_93660,c_14]) ).
tff(c_93869,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_93669]) ).
tff(c_93871,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_93869]) ).
tff(c_93915,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93620,c_93871,c_88]) ).
tff(c_93916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_88398,c_93615,c_198,c_93915]) ).
tff(c_93917,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_93869]) ).
tff(c_93924,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93917,c_164]) ).
tff(c_93933,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_93924,c_88399,c_54989,c_4]) ).
tff(c_93937,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93933,c_98]) ).
tff(c_94113,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_93937,c_88400,c_54990,c_2]) ).
tff(c_93649,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93644,c_128]) ).
tff(c_93609,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_90583]) ).
tff(c_93942,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_93649,c_93609,c_18]) ).
tff(c_93943,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_93942]) ).
tff(c_93956,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93644,c_93608,c_93943,c_68]) ).
tff(c_93957,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_93956]) ).
tff(c_93962,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_93957,c_180]) ).
tff(c_93947,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93943,c_150]) ).
tff(c_93967,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_93947,c_93636,c_93661,c_10]) ).
tff(c_93978,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93943,c_93967,c_38]) ).
tff(c_93979,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_88400,c_93978]) ).
tff(c_94006,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93620,c_93917,c_93979,c_84]) ).
tff(c_94007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_93962,c_196,c_194,c_94006]) ).
tff(c_94008,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_93942]) ).
tff(c_93624,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93620,c_144]) ).
tff(c_93870,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_93669]) ).
tff(c_94136,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_93624,c_93870,c_88398,c_30]) ).
tff(c_94225,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93608,c_85477,c_93917,c_93632,c_94113,c_94008,c_94008,c_94136,c_562]) ).
tff(c_94226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_196,c_94225]) ).
tff(c_94227,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_93654]) ).
tff(c_94231,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94227,c_158]) ).
tff(c_93623,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93620,c_142]) ).
tff(c_94232,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94227,c_166]) ).
tff(c_94498,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_93624,c_88398,c_30]) ).
tff(c_94499,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_94498]) ).
tff(c_94510,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93620,c_94499,c_88]) ).
tff(c_94511,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_93615,c_94510]) ).
tff(c_94240,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88399,c_54989,c_4]) ).
tff(c_94241,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_94240]) ).
tff(c_94343,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_94241,c_44]) ).
tff(c_94344,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_94343]) ).
tff(c_94251,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93644,c_93608,c_80]) ).
tff(c_94252,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_94251]) ).
tff(c_94253,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_94252]) ).
tff(c_94257,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94253,c_174]) ).
tff(c_94233,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94227,c_114]) ).
tff(c_94315,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_94257,c_94233,c_88397,c_14]) ).
tff(c_94256,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94253,c_124]) ).
tff(c_94292,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_94256,c_93649,c_93609,c_18]) ).
tff(c_94265,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_93624,c_88398,c_30]) ).
tff(c_94266,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_94265]) ).
tff(c_94434,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85477,c_94344,c_94315,c_94227,c_94344,c_94292,c_94253,c_94266,c_242]) ).
tff(c_94435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_196,c_204,c_94434]) ).
tff(c_94436,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_94265]) ).
tff(c_94441,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_94436,c_138]) ).
tff(c_94485,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93623,c_94232,c_93615,c_94441,c_28]) ).
tff(c_94486,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_94252]) ).
tff(c_94525,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94511,c_94486,c_34]) ).
tff(c_94526,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_54990,c_94525]) ).
tff(c_94570,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94511,c_94486,c_94526,c_42]) ).
tff(c_94571,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_94570]) ).
tff(c_94531,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_94526,c_112]) ).
tff(c_94542,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_94233,c_88397,c_94531,c_14]) ).
tff(c_94637,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94571,c_85477,c_94571,c_94542,c_94571,c_85477,c_94571,c_736]) ).
tff(c_94638,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_94498]) ).
tff(c_94643,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_94638,c_138]) ).
tff(c_94651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93623,c_94232,c_93615,c_94643,c_28]) ).
tff(c_94652,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_94240]) ).
tff(c_94666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94231,c_94652]) ).
tff(c_94667,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_93631]) ).
tff(c_94732,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93620,c_94667,c_54986,c_86]) ).
tff(c_94733,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_90584,c_198,c_194,c_94732]) ).
tff(c_94734,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_94789,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94758,c_94734]) ).
tff(c_94790,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_94789]) ).
tff(c_94794,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94790,c_152]) ).
tff(c_94886,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_94794,c_88400,c_54990,c_2]) ).
tff(c_94980,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94886,c_85477,c_94886,c_94753,c_94886,c_85477,c_94886,c_736]) ).
tff(c_94981,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_94789]) ).
tff(c_94987,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94981,c_164]) ).
tff(c_95006,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_94987,c_88399,c_54989,c_4]) ).
tff(c_94736,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54993,c_32]) ).
tff(c_94737,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_94736]) ).
tff(c_94735,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_94749,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94737,c_94735]) ).
tff(c_94750,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_94736]) ).
tff(c_94764,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_94750]) ).
tff(c_94771,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94764,c_190]) ).
tff(c_94778,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_54991,c_94771,c_74756]) ).
tff(c_94782,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94778,c_118]) ).
tff(c_94994,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_93613,c_94782,c_88392]) ).
tff(c_94999,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_94994,c_110]) ).
tff(c_94982,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_94789]) ).
tff(c_94767,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94764,c_140]) ).
tff(c_95017,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_93609,c_18]) ).
tff(c_95018,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_95017]) ).
tff(c_95045,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95018,c_148]) ).
tff(c_95080,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_95006,c_48]) ).
tff(c_95081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_95045,c_95080]) ).
tff(c_95082,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_95017]) ).
tff(c_95084,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_95082]) ).
tff(c_95100,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95084,c_156]) ).
tff(c_95140,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_94982,c_94767,c_95100,c_26]) ).
tff(c_95157,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94764,c_94981,c_95140,c_84]) ).
tff(c_95158,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_95157]) ).
tff(c_95238,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93608,c_85477,c_95158,c_94778,c_94994,c_93608,c_85477,c_95140,c_566]) ).
tff(c_95239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_194,c_194,c_95238]) ).
tff(c_95240,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_95082]) ).
tff(c_95010,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95006,c_98]) ).
tff(c_95254,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_95010,c_88400,c_54990,c_2]) ).
tff(c_95279,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95240,c_95254,c_34]) ).
tff(c_95280,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_94999,c_200,c_95279]) ).
tff(c_95306,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94764,c_94981,c_95280,c_92]) ).
tff(c_95307,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_95306]) ).
tff(c_94784,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94778,c_186]) ).
tff(c_95268,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_94784,c_90584,c_54992,c_24]) ).
tff(c_95427,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94753,c_95006,c_95307,c_94778,c_94764,c_95268,c_95254,c_95280,c_454]) ).
tff(c_95428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_202,c_200,c_95427]) ).
tff(c_95429,plain,
op(e0,e0) = e1,
inference(splitRight,[status(thm)],[c_94750]) ).
tff(c_95671,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94758,c_94734]) ).
tff(c_95672,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_95671]) ).
tff(c_95683,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95429,c_95672,c_88]) ).
tff(c_95684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_88398,c_93615,c_202,c_95683]) ).
tff(c_95685,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_95671]) ).
tff(c_95778,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95429,c_95685,c_88]) ).
tff(c_95779,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_88398,c_202,c_95778]) ).
tff(c_95809,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95429,c_95685,c_95779,c_84]) ).
tff(c_95810,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_95809]) ).
tff(c_95890,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95429,c_95810,c_95429,c_85477,c_95810,c_95429,c_95429,c_738]) ).
tff(c_95891,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_94752]) ).
tff(c_95893,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_95891]) ).
tff(c_95900,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95893,c_114]) ).
tff(c_95956,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88399,c_54989,c_4]) ).
tff(c_95957,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_95956]) ).
tff(c_95962,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95957,c_98]) ).
tff(c_95961,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95957,c_164]) ).
tff(c_95907,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_94750]) ).
tff(c_95914,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95907,c_190]) ).
tff(c_95919,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_54991,c_95914,c_74756]) ).
tff(c_95923,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95919,c_118]) ).
tff(c_95942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95900,c_93613,c_95923,c_88392]) ).
tff(c_95943,plain,
op(e0,e0) = e1,
inference(splitRight,[status(thm)],[c_94750]) ).
tff(c_95948,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95943,c_142]) ).
tff(c_96114,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_95961,c_95948,c_93615,c_28]) ).
tff(c_95951,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95943,c_190]) ).
tff(c_95970,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_54991,c_95951,c_74756]) ).
tff(c_96095,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_95962,c_88400,c_54990,c_2]) ).
tff(c_96018,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_93609,c_18]) ).
tff(c_96019,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_96018]) ).
tff(c_96023,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96019,c_150]) ).
tff(c_95981,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_95900,c_93613,c_88392]) ).
tff(c_96055,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95970,c_95893,c_95981,c_64]) ).
tff(c_96056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_96023,c_96055]) ).
tff(c_96057,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_96018]) ).
tff(c_96059,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_96057]) ).
tff(c_95991,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_95961,c_94734]) ).
tff(c_95992,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_95991]) ).
tff(c_95997,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95992,c_154]) ).
tff(c_95986,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95981,c_110]) ).
tff(c_95975,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95970,c_116]) ).
tff(c_95897,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95893,c_112]) ).
tff(c_96003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95997,c_95986,c_95975,c_95897,c_10]) ).
tff(c_96005,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_95991]) ).
tff(c_95947,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95943,c_140]) ).
tff(c_96066,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96059,c_156]) ).
tff(c_96082,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_96005,c_95947,c_96066,c_26]) ).
tff(c_96223,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93608,c_85477,c_96114,c_95970,c_96095,c_96059,c_95957,c_96082,c_558]) ).
tff(c_96224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_196,c_200,c_96223]) ).
tff(c_96225,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_96057]) ).
tff(c_96229,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96225,c_148]) ).
tff(c_96279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95962,c_96229,c_88400,c_54990,c_2]) ).
tff(c_96280,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_95956]) ).
tff(c_96285,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96280,c_158]) ).
tff(c_96319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95900,c_93613,c_96285,c_88392]) ).
tff(c_96320,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_95891]) ).
tff(c_96326,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96320,c_120]) ).
tff(c_96644,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_54991,c_96326,c_74756]) ).
tff(c_96325,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96320,c_112]) ).
tff(c_96538,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_96325,c_10]) ).
tff(c_96539,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_96538]) ).
tff(c_96541,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96539,c_146]) ).
tff(c_96351,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88399,c_54989,c_4]) ).
tff(c_96352,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_96351]) ).
tff(c_96356,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96352,c_164]) ).
tff(c_96336,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_94750]) ).
tff(c_96343,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96336,c_190]) ).
tff(c_96348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54991,c_96343,c_96326,c_74756]) ).
tff(c_96349,plain,
op(e0,e0) = e1,
inference(splitRight,[status(thm)],[c_94750]) ).
tff(c_96365,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96349,c_142]) ).
tff(c_96328,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96320,c_114]) ).
tff(c_96387,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_93613,c_96328,c_88392]) ).
tff(c_96391,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96387,c_166]) ).
tff(c_96524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96356,c_96365,c_93615,c_96391,c_28]) ).
tff(c_96525,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_96351]) ).
tff(c_96615,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_85477,c_96525,c_48]) ).
tff(c_96616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_96541,c_96615]) ).
tff(c_96617,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_96538]) ).
tff(c_96632,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_96617]) ).
tff(c_96654,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96644,c_96320,c_96632,c_64]) ).
tff(c_96655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_88393,c_200,c_96654]) ).
tff(c_96656,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_96617]) ).
tff(c_96663,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96656,c_116]) ).
tff(c_96670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54991,c_96663,c_96326,c_74756]) ).
tff(c_96671,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_85475]) ).
tff(c_96679,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96671,c_100]) ).
tff(c_96678,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96671,c_102]) ).
tff(c_96685,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54989,c_4]) ).
tff(c_96686,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_96685]) ).
tff(c_96691,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96686,c_164]) ).
tff(c_96697,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54991,c_74756]) ).
tff(c_96698,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_96697]) ).
tff(c_97710,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_190]) ).
tff(c_96699,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54993,c_32]) ).
tff(c_96700,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96699]) ).
tff(c_96713,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96700,c_140]) ).
tff(c_96721,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_96686,c_40]) ).
tff(c_96722,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_96721]) ).
tff(c_96728,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96722,c_152]) ).
tff(c_96689,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96686,c_158]) ).
tff(c_96715,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96700,c_144]) ).
tff(c_96677,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96671,c_176]) ).
tff(c_97445,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_96715,c_96677,c_30]) ).
tff(c_97446,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_97445]) ).
tff(c_97450,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97446,c_138]) ).
tff(c_97481,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_96691,c_97450,c_28]) ).
tff(c_97482,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_97481]) ).
tff(c_97486,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97482,c_166]) ).
tff(c_96703,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_118]) ).
tff(c_97339,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96700,c_96698,c_54986,c_90]) ).
tff(c_97340,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_97339]) ).
tff(c_96676,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96671,c_170]) ).
tff(c_96705,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_120]) ).
tff(c_96736,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_96676,c_96705,c_14]) ).
tff(c_96737,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_96736]) ).
tff(c_96740,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96737,c_174]) ).
tff(c_96675,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96671,c_172]) ).
tff(c_96690,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96686,c_160]) ).
tff(c_96741,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96737,c_112]) ).
tff(c_96704,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_116]) ).
tff(c_96748,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_96741,c_96704,c_10]) ).
tff(c_96749,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_96748]) ).
tff(c_96766,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96749,c_110]) ).
tff(c_96853,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_96689,c_96766,c_96703,c_12]) ).
tff(c_96750,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96700,c_96698,c_54986,c_90]) ).
tff(c_96751,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_96750]) ).
tff(c_96757,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96751,c_130]) ).
tff(c_96771,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_96690,c_96757,c_20]) ).
tff(c_96772,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_96771]) ).
tff(c_96778,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96772,c_168]) ).
tff(c_96785,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96737,c_96671,c_66]) ).
tff(c_96786,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_96785]) ).
tff(c_96787,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_96786]) ).
tff(c_96803,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96700,c_96787,c_88]) ).
tff(c_96804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_96778,c_96728,c_96803]) ).
tff(c_96805,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_96786]) ).
tff(c_96880,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96751,c_96805,c_96772,c_80]) ).
tff(c_96881,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_96880]) ).
tff(c_96952,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96853,c_96749,c_96853,c_96881,c_96853,c_96749,c_96853,c_760]) ).
tff(c_96953,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_96771]) ).
tff(c_96971,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96953,c_162]) ).
tff(c_97009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96689,c_96766,c_96703,c_96971,c_12]) ).
tff(c_97010,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_96748]) ).
tff(c_97016,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97010,c_110]) ).
tff(c_97069,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_96689,c_96703,c_97016,c_12]) ).
tff(c_97073,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97069,c_162]) ).
tff(c_97081,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_96690,c_97073,c_20]) ).
tff(c_97082,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_97081]) ).
tff(c_97087,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97082,c_126]) ).
tff(c_97144,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_96740,c_96675,c_97087,c_22]) ).
tff(c_97021,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96700,c_92]) ).
tff(c_97022,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_96677,c_97021]) ).
tff(c_97023,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_97022]) ).
tff(c_97027,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97023,c_166]) ).
tff(c_97055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96689,c_97027,c_96703,c_97016,c_12]) ).
tff(c_97057,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_97022]) ).
tff(c_97088,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97082,c_168]) ).
tff(c_97109,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_96691,c_97057,c_97088,c_28]) ).
tff(c_97251,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97144,c_96671,c_97109,c_96698,c_97069,c_97082,c_97010,c_97109,c_568]) ).
tff(c_97252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_198,c_194,c_97251]) ).
tff(c_97253,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_97081]) ).
tff(c_96716,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96700,c_192]) ).
tff(c_97320,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97253,c_80]) ).
tff(c_97321,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_96716,c_96740,c_200,c_97320]) ).
tff(c_97351,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97340,c_97253,c_97321,c_72]) ).
tff(c_97352,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_97351]) ).
tff(c_97431,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97352,c_97253,c_97352,c_96686,c_97352,c_97253,c_97352,c_752]) ).
tff(c_97432,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_96736]) ).
tff(c_97439,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97432,c_114]) ).
tff(c_97519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96689,c_97486,c_96703,c_97439,c_12]) ).
tff(c_97520,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_97481]) ).
tff(c_97525,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97520,c_134]) ).
tff(c_97548,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_96713,c_96728,c_97525,c_26]) ).
tff(c_97470,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_97432,c_64]) ).
tff(c_97471,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_96689,c_97470]) ).
tff(c_97571,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_97432,c_97471,c_60]) ).
tff(c_97572,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_97571]) ).
tff(c_97451,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97446,c_180]) ).
tff(c_96726,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96722,c_148]) ).
tff(c_96706,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_186]) ).
tff(c_97457,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_96716,c_96706,c_54992,c_24]) ).
tff(c_97536,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97457,c_72]) ).
tff(c_97537,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_97451,c_96726,c_97536]) ).
tff(c_632,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_97675,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97548,c_54986,c_97432,c_97572,c_97572,c_97537,c_97471,c_97520,c_632]) ).
tff(c_97676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_198,c_202,c_97675]) ).
tff(c_97677,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_97445]) ).
tff(c_97438,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97432,c_178]) ).
tff(c_97701,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97677,c_97438]) ).
tff(c_97702,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_96699]) ).
tff(c_97719,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_97710,c_97702]) ).
tff(c_97726,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97719,c_192]) ).
tff(c_97709,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_186]) ).
tff(c_98509,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_97726,c_97709,c_54992,c_24]) ).
tff(c_98513,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98509,c_132]) ).
tff(c_97715,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_97716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97709,c_97715]) ).
tff(c_97717,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_97733,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_97717]) ).
tff(c_97734,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97733,c_148]) ).
tff(c_97746,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_96686,c_40]) ).
tff(c_97747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_97734,c_97746]) ).
tff(c_97748,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_97717]) ).
tff(c_97750,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_97748]) ).
tff(c_97754,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97750,c_126]) ).
tff(c_98010,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_96690,c_97754,c_20]) ).
tff(c_98011,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_98010]) ).
tff(c_98025,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98011,c_162]) ).
tff(c_97706,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_118]) ).
tff(c_97707,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_116]) ).
tff(c_97761,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97707,c_10]) ).
tff(c_97762,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_97761]) ).
tff(c_97767,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97762,c_112]) ).
tff(c_97708,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_120]) ).
tff(c_97773,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_96689,c_97706,c_12]) ).
tff(c_97774,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_97773]) ).
tff(c_97777,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97774,c_162]) ).
tff(c_97826,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_96690,c_97777,c_97754,c_20]) ).
tff(c_97929,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97750,c_97826,c_97750,c_96686,c_97826,c_97750,c_97750,c_752]) ).
tff(c_97930,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_97773]) ).
tff(c_97937,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97930,c_114]) ).
tff(c_97982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97767,c_96676,c_97708,c_97937,c_14]) ).
tff(c_97983,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_97761]) ).
tff(c_97985,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_97983]) ).
tff(c_97994,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97985,c_110]) ).
tff(c_98057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96689,c_98025,c_97706,c_97994,c_12]) ).
tff(c_98058,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_98010]) ).
tff(c_98204,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97750,c_98058,c_97750,c_96686,c_98058,c_97750,c_97750,c_752]) ).
tff(c_98205,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_97983]) ).
tff(c_98214,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98205,c_110]) ).
tff(c_98360,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_96689,c_98214,c_97706,c_12]) ).
tff(c_98338,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_96686,c_40]) ).
tff(c_98339,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_98338]) ).
tff(c_98219,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97719,c_96]) ).
tff(c_98220,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_96691,c_98219]) ).
tff(c_98221,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_98220]) ).
tff(c_98224,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98221,c_136]) ).
tff(c_97723,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97719,c_140]) ).
tff(c_98243,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_96686,c_40]) ).
tff(c_98244,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_98243]) ).
tff(c_98249,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98244,c_152]) ).
tff(c_98211,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98205,c_150]) ).
tff(c_97749,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_97717]) ).
tff(c_98254,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98211,c_97749,c_18]) ).
tff(c_98255,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_98254]) ).
tff(c_98260,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98255,c_128]) ).
tff(c_98287,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97719,c_96698,c_54986,c_94]) ).
tff(c_98288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_98260,c_202,c_200,c_98287]) ).
tff(c_98289,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_98254]) ).
tff(c_98297,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98289,c_156]) ).
tff(c_98314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98224,c_97723,c_98249,c_98297,c_26]) ).
tff(c_98315,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_98220]) ).
tff(c_98321,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98315,c_156]) ).
tff(c_98371,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_98321,c_98211,c_97749,c_18]) ).
tff(c_98319,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98315,c_136]) ).
tff(c_97756,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97750,c_180]) ).
tff(c_98397,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_98319,c_96677,c_97756,c_30]) ).
tff(c_500,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_98505,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97750,c_96671,c_98205,c_98360,c_98339,c_98371,c_98397,c_97719,c_500]) ).
tff(c_98506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_194,c_200,c_98505]) ).
tff(c_98508,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_97748]) ).
tff(c_98618,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_98513,c_96675,c_98508,c_22]) ).
tff(c_98529,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96698,c_64]) ).
tff(c_98530,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_96689,c_98529]) ).
tff(c_98531,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_98530]) ).
tff(c_98514,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98509,c_128]) ).
tff(c_98535,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98531,c_112]) ).
tff(c_98544,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_98535,c_97707,c_10]) ).
tff(c_98545,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_98544]) ).
tff(c_98549,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98545,c_150]) ).
tff(c_98568,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_98513,c_96675,c_98508,c_22]) ).
tff(c_98572,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98568,c_124]) ).
tff(c_98593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98514,c_98549,c_97749,c_98572,c_18]) ).
tff(c_98594,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_98544]) ).
tff(c_98602,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98594,c_110]) ).
tff(c_98648,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_96689,c_97706,c_98602,c_12]) ).
tff(c_98600,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98594,c_150]) ).
tff(c_98675,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_98514,c_97749,c_98600,c_18]) ).
tff(c_98507,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_97748]) ).
tff(c_98607,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98531,c_96671,c_70]) ).
tff(c_98608,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_98508,c_202,c_198,c_98607]) ).
tff(c_98771,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98618,c_96671,c_98531,c_98648,c_96671,c_98675,c_98507,c_98608,c_498]) ).
tff(c_98772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_196,c_198,c_98771]) ).
tff(c_98774,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_98530]) ).
tff(c_98802,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_98513,c_96675,c_98508,c_22]) ).
tff(c_98807,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98802,c_174]) ).
tff(c_98827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98774,c_96676,c_97708,c_98807,c_14]) ).
tff(c_98828,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_96697]) ).
tff(c_98836,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98828,c_190]) ).
tff(c_98842,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98836,c_54993,c_32]) ).
tff(c_98843,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_98842]) ).
tff(c_98849,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98843,c_192]) ).
tff(c_98835,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98828,c_186]) ).
tff(c_99166,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_96686,c_40]) ).
tff(c_99167,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_99166]) ).
tff(c_99180,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98849,c_96690,c_80]) ).
tff(c_99181,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_99180]) ).
tff(c_98832,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98828,c_118]) ).
tff(c_98854,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_96689,c_98832,c_12]) ).
tff(c_98855,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_98854]) ).
tff(c_98858,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98855,c_162]) ).
tff(c_99192,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_96690,c_98858,c_20]) ).
tff(c_99193,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_99192]) ).
tff(c_99198,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99193,c_168]) ).
tff(c_98859,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98855,c_166]) ).
tff(c_99225,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_96691,c_99198,c_98859,c_28]) ).
tff(c_98846,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98843,c_140]) ).
tff(c_99173,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99167,c_152]) ).
tff(c_99185,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99181,c_124]) ).
tff(c_99197,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99193,c_122]) ).
tff(c_99171,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99167,c_148]) ).
tff(c_99215,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_99185,c_99197,c_99171,c_18]) ).
tff(c_99220,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99215,c_156]) ).
tff(c_99253,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_98846,c_99173,c_99220,c_26]) ).
tff(c_99264,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98843,c_99225,c_99253,c_88]) ).
tff(c_99265,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_99264]) ).
tff(c_99235,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_98849,c_98835,c_54992,c_24]) ).
tff(c_98833,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98828,c_116]) ).
tff(c_98861,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98855,c_110]) ).
tff(c_98860,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98855,c_114]) ).
tff(c_98866,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_96676,c_98860,c_14]) ).
tff(c_98867,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_98866]) ).
tff(c_98870,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98867,c_174]) ).
tff(c_99140,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_98849,c_98835,c_54992,c_24]) ).
tff(c_99144,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99140,c_132]) ).
tff(c_98890,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_96690,c_98858,c_20]) ).
tff(c_98891,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_98890]) ).
tff(c_98895,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98891,c_122]) ).
tff(c_98902,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_98849,c_98835,c_54992,c_24]) ).
tff(c_98907,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98902,c_128]) ).
tff(c_98871,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98867,c_112]) ).
tff(c_98879,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_98871,c_98833,c_98861,c_10]) ).
tff(c_98884,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98879,c_150]) ).
tff(c_98914,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_98895,c_98907,c_98884,c_18]) ).
tff(c_98925,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98914,c_98879,c_42]) ).
tff(c_98926,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_96679,c_98925]) ).
tff(c_98978,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_96686,c_40]) ).
tff(c_98979,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_98978]) ).
tff(c_98942,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98867,c_96671,c_66]) ).
tff(c_98943,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_98942]) ).
tff(c_98944,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_98943]) ).
tff(c_98966,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98843,c_98944,c_98926,c_88]) ).
tff(c_98967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_98859,c_198,c_98966]) ).
tff(c_98969,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_98943]) ).
tff(c_98993,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98843,c_98926,c_84]) ).
tff(c_98994,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_98969,c_196,c_98993]) ).
tff(c_99102,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98926,c_54986,c_98979,c_98879,c_98994,c_98902,c_98879,c_98994,c_616]) ).
tff(c_99103,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_200,c_194,c_99102]) ).
tff(c_99104,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_98890]) ).
tff(c_99110,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99104,c_126]) ).
tff(c_99153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98870,c_96675,c_99144,c_99110,c_22]) ).
tff(c_99154,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_98866]) ).
tff(c_99159,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99154,c_112]) ).
tff(c_99203,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_98833,c_98861,c_99159,c_10]) ).
tff(c_584,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_99363,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99181,c_96671,c_99265,c_98828,c_99225,c_99235,c_99203,c_99225,c_584]) ).
tff(c_99364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_202,c_99363]) ).
tff(c_99365,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_99192]) ).
tff(c_99396,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99365,c_98855,c_96686,c_58]) ).
tff(c_99397,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_99396]) ).
tff(c_99527,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_99167,c_96686,c_99167,c_99397,c_96686,c_99167,c_99167,c_744]) ).
tff(c_99528,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_99180]) ).
tff(c_99532,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99528,c_150]) ).
tff(c_99553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99532,c_98833,c_98861,c_99159,c_10]) ).
tff(c_99554,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_98854]) ).
tff(c_99559,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99554,c_162]) ).
tff(c_99567,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_96690,c_99559,c_20]) ).
tff(c_99568,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_99567]) ).
tff(c_99574,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99568,c_168]) ).
tff(c_99562,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99554,c_110]) ).
tff(c_96692,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96686,c_98]) ).
tff(c_99648,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98833,c_99562,c_10]) ).
tff(c_99649,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_99648]) ).
tff(c_99677,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_96692,c_96679,c_54990,c_2]) ).
tff(c_99681,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99677,c_152]) ).
tff(c_99572,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99568,c_122]) ).
tff(c_99581,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_99572,c_18]) ).
tff(c_99582,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_99581]) ).
tff(c_99586,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99582,c_150]) ).
tff(c_99604,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_99586,c_98833,c_99562,c_10]) ).
tff(c_99619,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99582,c_99604,c_34]) ).
tff(c_99620,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_54990,c_99619]) ).
tff(c_99630,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98843,c_99620,c_92]) ).
tff(c_99631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_96677,c_99574,c_196,c_99630]) ).
tff(c_99632,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_99581]) ).
tff(c_99634,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_99632]) ).
tff(c_99641,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99634,c_156]) ).
tff(c_99690,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_98846,c_99681,c_99641,c_26]) ).
tff(c_99811,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_99554,c_99649,c_99554,c_99690,c_99649,c_99554,c_99554,c_756]) ).
tff(c_99812,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_99648]) ).
tff(c_99825,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99812,c_146]) ).
tff(c_99842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96692,c_96679,c_99825,c_54990,c_2]) ).
tff(c_99843,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_99632]) ).
tff(c_99857,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99843,c_34]) ).
tff(c_99858,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_99562,c_54990,c_99857]) ).
tff(c_99885,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98843,c_99858,c_92]) ).
tff(c_99886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_96677,c_99574,c_196,c_99885]) ).
tff(c_99887,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_99567]) ).
tff(c_99904,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99887,c_130]) ).
tff(c_99948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98849,c_98835,c_99904,c_54992,c_24]) ).
tff(c_99949,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_98842]) ).
tff(c_100224,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_96686,c_40]) ).
tff(c_100225,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_100224]) ).
tff(c_99951,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_98836,c_96677,c_92]) ).
tff(c_99952,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_99951]) ).
tff(c_100393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100225,c_96686,c_100225,c_99952,c_100225,c_96686,c_100225,c_744]) ).
tff(c_100394,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_99951]) ).
tff(c_100625,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99949,c_100394,c_96]) ).
tff(c_100626,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_96691,c_204,c_100625]) ).
tff(c_100630,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100626,c_178]) ).
tff(c_100416,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_96689,c_98832,c_12]) ).
tff(c_100417,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_100416]) ).
tff(c_100423,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100417,c_110]) ).
tff(c_100428,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98833,c_100423,c_10]) ).
tff(c_100429,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_100428]) ).
tff(c_100433,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100429,c_150]) ).
tff(c_100411,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_100394,c_156]) ).
tff(c_100475,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_96686,c_40]) ).
tff(c_100476,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_100475]) ).
tff(c_100480,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100476,c_148]) ).
tff(c_100485,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_100433,c_100411,c_100480,c_18]) ).
tff(c_100434,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100429,c_112]) ).
tff(c_100422,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100417,c_114]) ).
tff(c_100442,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_100434,c_96676,c_100422,c_14]) ).
tff(c_100509,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99949,c_98828,c_54986,c_94]) ).
tff(c_100510,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_100509]) ).
tff(c_100621,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100394,c_54986,c_100485,c_100442,c_99949,c_100510,c_96671,c_100394,c_678]) ).
tff(c_100622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_202,c_196,c_100621]) ).
tff(c_100623,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_100428]) ).
tff(c_100649,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98828,c_100417,c_100623,c_64]) ).
tff(c_100650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_100630,c_202,c_200,c_100649]) ).
tff(c_100651,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_100416]) ).
tff(c_100658,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100651,c_166]) ).
tff(c_100799,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99949,c_100394,c_96]) ).
tff(c_100800,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_96691,c_204,c_100799]) ).
tff(c_100835,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99949,c_100800,c_100394,c_84]) ).
tff(c_100836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_100658,c_196,c_100835]) ).
tff(c_100837,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_96685]) ).
tff(c_100839,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_96678,c_100837]) ).
tff(c_100846,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100839,c_98]) ).
tff(c_102226,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_96679,c_100846,c_54990,c_2]) ).
tff(c_102230,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102226,c_146]) ).
tff(c_100845,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100839,c_164]) ).
tff(c_100854,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_140]) ).
tff(c_100856,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_144]) ).
tff(c_101321,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_100856,c_96677,c_30]) ).
tff(c_101322,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_101321]) ).
tff(c_101325,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101322,c_136]) ).
tff(c_101343,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_100854,c_101325,c_26]) ).
tff(c_101344,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_101343]) ).
tff(c_100863,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54991,c_74756]) ).
tff(c_100864,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_100863]) ).
tff(c_100869,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100864,c_120]) ).
tff(c_100843,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100839,c_158]) ).
tff(c_100875,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100843,c_12]) ).
tff(c_100876,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_100875]) ).
tff(c_100878,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100876,c_162]) ).
tff(c_100870,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100864,c_186]) ).
tff(c_101011,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_100857,c_100870,c_54992,c_24]) ).
tff(c_101017,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101011,c_130]) ).
tff(c_100844,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100839,c_160]) ).
tff(c_100886,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_100890,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100886,c_124]) ).
tff(c_100908,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_88]) ).
tff(c_100909,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_100845,c_100908]) ).
tff(c_100910,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_100909]) ).
tff(c_100880,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100876,c_114]) ).
tff(c_100897,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_100880,c_96676,c_100869,c_14]) ).
tff(c_100958,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100910,c_100897,c_96671,c_78]) ).
tff(c_100959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_100890,c_200,c_204,c_100958]) ).
tff(c_100961,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_100909]) ).
tff(c_100903,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100897,c_178]) ).
tff(c_101007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100856,c_96677,c_100961,c_100903,c_30]) ).
tff(c_101008,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_101010,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_101008]) ).
tff(c_101026,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101010,c_122]) ).
tff(c_101049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100878,c_101017,c_100844,c_101026,c_20]) ).
tff(c_101050,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_101008]) ).
tff(c_101052,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_101050]) ).
tff(c_101056,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101052,c_128]) ).
tff(c_101090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100857,c_101056,c_100870,c_54992,c_24]) ).
tff(c_101091,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_101050]) ).
tff(c_101106,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_100880,c_96676,c_100869,c_14]) ).
tff(c_101101,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101091,c_156]) ).
tff(c_101119,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_88]) ).
tff(c_101120,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_100845,c_101101,c_101119]) ).
tff(c_101131,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_100864,c_54986,c_90]) ).
tff(c_101132,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_101131]) ).
tff(c_101156,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_96679,c_100846,c_54990,c_2]) ).
tff(c_101137,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101132,c_130]) ).
tff(c_101144,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_100878,c_101137,c_100844,c_20]) ).
tff(c_101149,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101144,c_168]) ).
tff(c_101166,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_101120,c_84]) ).
tff(c_101167,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_101149,c_101166]) ).
tff(c_101291,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100876,c_100839,c_101091,c_101106,c_101120,c_101132,c_101156,c_101167,c_422]) ).
tff(c_101292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_202,c_200,c_101291]) ).
tff(c_101293,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_100875]) ).
tff(c_101295,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_101293]) ).
tff(c_101300,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101295,c_114]) ).
tff(c_101306,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_96676,c_100869,c_101300,c_14]) ).
tff(c_101311,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101306,c_112]) ).
tff(c_100868,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100864,c_116]) ).
tff(c_101301,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101295,c_110]) ).
tff(c_101332,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_101311,c_100868,c_101301,c_10]) ).
tff(c_101338,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101332,c_154]) ).
tff(c_101355,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_101344,c_101338]) ).
tff(c_101356,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_101343]) ).
tff(c_101327,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101322,c_180]) ).
tff(c_101381,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_100857,c_100870,c_54992,c_24]) ).
tff(c_101394,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101381,c_72]) ).
tff(c_101395,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_101327,c_100844,c_101394]) ).
tff(c_101298,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101295,c_162]) ).
tff(c_101407,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101381,c_101395,c_68]) ).
tff(c_101408,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_101298,c_194,c_101407]) ).
tff(c_101387,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101381,c_130]) ).
tff(c_101431,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_101387,c_100844,c_101298,c_20]) ).
tff(c_642,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_101523,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101356,c_54986,c_101332,c_101295,c_101395,c_101408,c_101431,c_101322,c_642]) ).
tff(c_101524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_198,c_204,c_101523]) ).
tff(c_101525,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_101321]) ).
tff(c_101551,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_101525,c_92]) ).
tff(c_101552,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_101551]) ).
tff(c_101553,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_101552]) ).
tff(c_101581,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_101525,c_101553,c_88]) ).
tff(c_101582,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_101581]) ).
tff(c_101593,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_101311,c_100868,c_101301,c_10]) ).
tff(c_101572,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_100857,c_100870,c_54992,c_24]) ).
tff(c_101605,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101582,c_101593,c_34]) ).
tff(c_101606,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_54990,c_101605]) ).
tff(c_101712,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101582,c_54986,c_101593,c_101295,c_101525,c_101572,c_101606,c_101525,c_650]) ).
tff(c_101713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_200,c_196,c_101712]) ).
tff(c_101714,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_101552]) ).
tff(c_101726,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_101525,c_101714,c_88]) ).
tff(c_101727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_100845,c_198,c_101726]) ).
tff(c_101728,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_101293]) ).
tff(c_101735,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101728,c_110]) ).
tff(c_101753,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_96676,c_100869,c_14]) ).
tff(c_101754,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_101753]) ).
tff(c_101757,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101754,c_174]) ).
tff(c_101732,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101728,c_162]) ).
tff(c_101790,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_101732,c_100844,c_20]) ).
tff(c_101791,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_101790]) ).
tff(c_101733,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101728,c_166]) ).
tff(c_101741,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_92]) ).
tff(c_101742,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_96677,c_101733,c_101741]) ).
tff(c_101776,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_101742,c_88]) ).
tff(c_101777,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_100845,c_198,c_101776]) ).
tff(c_101781,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101777,c_180]) ).
tff(c_101748,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101742,c_156]) ).
tff(c_101764,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_101748,c_18]) ).
tff(c_101765,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_101764]) ).
tff(c_101786,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101765,c_72]) ).
tff(c_101787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100870,c_101781,c_100844,c_202,c_101786]) ).
tff(c_101788,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_101764]) ).
tff(c_101802,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_101788]) ).
tff(c_101813,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101791,c_101802,c_72]) ).
tff(c_101814,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_100870,c_202,c_194,c_101813]) ).
tff(c_101819,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101814,c_180]) ).
tff(c_101826,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_101742,c_88]) ).
tff(c_101827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_101819,c_100845,c_198,c_101826]) ).
tff(c_101828,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_101788]) ).
tff(c_101835,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101828,c_124]) ).
tff(c_101895,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_101757,c_96675,c_101835,c_22]) ).
tff(c_101873,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_100839,c_48]) ).
tff(c_101874,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_101873]) ).
tff(c_101758,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101754,c_112]) ).
tff(c_101843,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101758,c_101735,c_100868,c_10]) ).
tff(c_101854,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_101742,c_88]) ).
tff(c_101855,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_100845,c_198,c_101854]) ).
tff(c_101992,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101895,c_96671,c_101874,c_101843,c_101828,c_101895,c_101791,c_101855,c_482]) ).
tff(c_101993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_198,c_204,c_101992]) ).
tff(c_101994,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_101790]) ).
tff(c_101996,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101758,c_101735,c_100868,c_10]) ).
tff(c_102001,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101996,c_150]) ).
tff(c_102017,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_102001,c_101788]) ).
tff(c_102028,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101994,c_102017,c_80]) ).
tff(c_102029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100857,c_101757,c_200,c_202,c_102028]) ).
tff(c_102030,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_101753]) ).
tff(c_102035,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102030,c_112]) ).
tff(c_102237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102230,c_101735,c_100868,c_102035,c_10]) ).
tff(c_102238,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_100863]) ).
tff(c_102245,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102238,c_186]) ).
tff(c_100855,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_142]) ).
tff(c_102242,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102238,c_118]) ).
tff(c_102253,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_102242,c_100843,c_12]) ).
tff(c_102254,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_102253]) ).
tff(c_102260,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102254,c_110]) ).
tff(c_102243,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102238,c_116]) ).
tff(c_102259,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102254,c_114]) ).
tff(c_102327,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_102259,c_96676,c_14]) ).
tff(c_102328,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_102327]) ).
tff(c_102331,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102328,c_112]) ).
tff(c_102257,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102254,c_162]) ).
tff(c_102265,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_92]) ).
tff(c_102266,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_96677,c_102265]) ).
tff(c_102267,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_102266]) ).
tff(c_102272,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102267,c_168]) ).
tff(c_102279,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_102257,c_102272,c_100844,c_20]) ).
tff(c_102292,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102279,c_80]) ).
tff(c_102293,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100857,c_200,c_102292]) ).
tff(c_102294,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_102293]) ).
tff(c_102305,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102294,c_102279,c_72]) ).
tff(c_102306,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_102305]) ).
tff(c_102307,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_102306]) ).
tff(c_102358,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102307,c_102294,c_102279,c_76]) ).
tff(c_102359,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_102358]) ).
tff(c_102337,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_102267,c_84]) ).
tff(c_102338,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_102337]) ).
tff(c_102339,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_102338]) ).
tff(c_102376,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_102339,c_102267,c_88]) ).
tff(c_102377,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_102376]) ).
tff(c_398,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_102469,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102254,c_100839,c_102279,c_102328,c_96671,c_102359,c_100839,c_102377,c_398]) ).
tff(c_102470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_196,c_194,c_102469]) ).
tff(c_102471,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_102338]) ).
tff(c_102476,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102471,c_154]) ).
tff(c_102496,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102260,c_102243,c_102331,c_102476,c_10]) ).
tff(c_102497,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_102327]) ).
tff(c_102502,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102497,c_178]) ).
tff(c_102508,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_100856,c_96677,c_102502,c_30]) ).
tff(c_102646,plain,
( ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102254,c_100839,c_102508,c_102238,c_102267,c_102307,c_102497,c_102267,c_456]) ).
tff(c_102647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_204,c_194,c_102646]) ).
tff(c_102648,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_102306]) ).
tff(c_102654,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102648,c_150]) ).
tff(c_102672,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_102259,c_96676,c_14]) ).
tff(c_102673,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_102672]) ).
tff(c_102677,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102673,c_178]) ).
tff(c_102655,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102648,c_156]) ).
tff(c_102682,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_102267,c_88]) ).
tff(c_102683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_102677,c_198,c_102655,c_102682]) ).
tff(c_102684,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_102672]) ).
tff(c_102688,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102684,c_112]) ).
tff(c_102707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102260,c_102243,c_102654,c_102688,c_10]) ).
tff(c_102708,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_102293]) ).
tff(c_102711,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102708,c_148]) ).
tff(c_102720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102711,c_96679,c_100846,c_54990,c_2]) ).
tff(c_102722,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_102266]) ).
tff(c_102721,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_102266]) ).
tff(c_102761,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_100839,c_48]) ).
tff(c_102762,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_102761]) ).
tff(c_102766,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102762,c_148]) ).
tff(c_102728,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102721,c_156]) ).
tff(c_102749,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_100857,c_102245,c_54992,c_24]) ).
tff(c_102754,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102749,c_128]) ).
tff(c_102839,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_102766,c_102728,c_102754,c_18]) ).
tff(c_102772,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_100856,c_96677,c_30]) ).
tff(c_102773,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_102772]) ).
tff(c_102777,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102773,c_178]) ).
tff(c_102819,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_102259,c_96676,c_102777,c_14]) ).
tff(c_654,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_102921,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102721,c_54986,c_102839,c_102819,c_102762,c_102839,c_96671,c_102721,c_654]) ).
tff(c_102922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_200,c_196,c_102921]) ).
tff(c_102923,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_102772]) ).
tff(c_102928,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102923,c_138]) ).
tff(c_102976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100855,c_102722,c_100845,c_102928,c_28]) ).
tff(c_102977,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_102253]) ).
tff(c_102982,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102977,c_166]) ).
tff(c_102992,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_92]) ).
tff(c_102993,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_96677,c_102992]) ).
tff(c_102994,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_102993]) ).
tff(c_103010,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102994,c_168]) ).
tff(c_102981,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102977,c_162]) ).
tff(c_103015,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_103010,c_100844,c_102981,c_20]) ).
tff(c_103020,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103015,c_126]) ).
tff(c_103008,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102994,c_134]) ).
tff(c_102983,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102977,c_114]) ).
tff(c_103025,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_96676,c_102983,c_14]) ).
tff(c_103026,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_103025]) ).
tff(c_103030,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103026,c_112]) ).
tff(c_102984,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102977,c_110]) ).
tff(c_103211,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_103030,c_102243,c_102984,c_10]) ).
tff(c_103216,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103211,c_154]) ).
tff(c_102990,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_100844,c_72]) ).
tff(c_102991,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_102990]) ).
tff(c_103019,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103015,c_122]) ).
tff(c_102999,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102991,c_128]) ).
tff(c_103036,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_103019,c_102999,c_18]) ).
tff(c_103037,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_103036]) ).
tff(c_102998,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102991,c_132]) ).
tff(c_103064,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103026,c_96671,c_70]) ).
tff(c_103065,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_102998,c_202,c_198,c_103064]) ).
tff(c_103192,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102977,c_100839,c_102991,c_103026,c_96671,c_103037,c_103015,c_103065,c_402]) ).
tff(c_103193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_204,c_103192]) ).
tff(c_103194,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_103036]) ).
tff(c_103203,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103194,c_156]) ).
tff(c_103221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100854,c_103008,c_103216,c_103203,c_26]) ).
tff(c_103222,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_103025]) ).
tff(c_103262,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103222,c_96671,c_78]) ).
tff(c_103263,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100856,c_103020,c_202,c_204,c_103262]) ).
tff(c_103264,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_102993]) ).
tff(c_103336,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_103264,c_84]) ).
tff(c_103337,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_102982,c_196,c_103336]) ).
tff(c_103348,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100852,c_103337,c_103264,c_88]) ).
tff(c_103349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_100845,c_198,c_103348]) ).
tff(c_103351,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_102990]) ).
tff(c_103363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100857,c_102245,c_103351,c_54992,c_24]) ).
tff(c_103364,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_100851]) ).
tff(c_103368,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_103364]) ).
tff(c_103375,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_190]) ).
tff(c_103380,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_54991,c_103375,c_74756]) ).
tff(c_103387,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_103380,c_186]) ).
tff(c_103374,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_192]) ).
tff(c_103727,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_103387,c_103374,c_54992,c_24]) ).
tff(c_103732,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103727,c_128]) ).
tff(c_103582,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_96]) ).
tff(c_103583,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_103582]) ).
tff(c_103584,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_103583]) ).
tff(c_103757,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_103584,c_92]) ).
tff(c_103758,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_103757]) ).
tff(c_103759,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_103758]) ).
tff(c_103392,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100844,c_20]) ).
tff(c_103393,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_103392]) ).
tff(c_103395,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103393,c_130]) ).
tff(c_103567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103395,c_103387,c_103374,c_54992,c_24]) ).
tff(c_103568,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_103392]) ).
tff(c_103570,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_103568]) ).
tff(c_103872,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_103759,c_103368,c_103570,c_103759,c_103368,c_103368,c_746]) ).
tff(c_103873,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_103758]) ).
tff(c_103878,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_103873,c_156]) ).
tff(c_103589,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103584,c_178]) ).
tff(c_103595,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103380,c_64]) ).
tff(c_103596,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_103589,c_103595]) ).
tff(c_103597,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_103596]) ).
tff(c_103603,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103597,c_110]) ).
tff(c_103385,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_103380,c_116]) ).
tff(c_103608,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_103589,c_96676,c_14]) ).
tff(c_103609,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_103608]) ).
tff(c_103637,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103609,c_112]) ).
tff(c_103577,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103570,c_168]) ).
tff(c_103686,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_103584,c_84]) ).
tff(c_103687,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_103577,c_103686]) ).
tff(c_103691,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103687,c_154]) ).
tff(c_103702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103603,c_103385,c_103637,c_103691,c_10]) ).
tff(c_103703,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_103608]) ).
tff(c_103708,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103703,c_112]) ).
tff(c_103716,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_103603,c_103385,c_103708,c_10]) ).
tff(c_103721,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103716,c_150]) ).
tff(c_103574,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103570,c_122]) ).
tff(c_103887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103732,c_103878,c_103721,c_103574,c_18]) ).
tff(c_103889,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_103596]) ).
tff(c_103384,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_103380,c_118]) ).
tff(c_103575,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103570,c_162]) ).
tff(c_103900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103889,c_103384,c_100843,c_103575,c_12]) ).
tff(c_103901,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_103583]) ).
tff(c_104003,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_103901]) ).
tff(c_104007,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104003,c_152]) ).
tff(c_104110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104007,c_96679,c_100846,c_54990,c_2]) ).
tff(c_104111,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_103901]) ).
tff(c_104117,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104111,c_166]) ).
tff(c_104221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104117,c_103384,c_100843,c_103575,c_12]) ).
tff(c_104222,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_103568]) ).
tff(c_104230,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104222,c_168]) ).
tff(c_104238,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_96676,c_14]) ).
tff(c_104239,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_104238]) ).
tff(c_104243,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104239,c_178]) ).
tff(c_103373,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_144]) ).
tff(c_104241,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104239,c_174]) ).
tff(c_104244,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104239,c_114]) ).
tff(c_104318,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_104244,c_103384,c_100843,c_12]) ).
tff(c_104277,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_103387,c_103374,c_54992,c_24]) ).
tff(c_104300,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_96679,c_100846,c_54990,c_2]) ).
tff(c_104281,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104277,c_128]) ).
tff(c_104227,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104222,c_122]) ).
tff(c_104261,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104222,c_72]) ).
tff(c_104262,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_103374,c_198,c_104261]) ).
tff(c_104263,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_104262]) ).
tff(c_104267,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104263,c_124]) ).
tff(c_104288,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_104281,c_104227,c_104267,c_18]) ).
tff(c_104309,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_104243,c_96677,c_103373,c_30]) ).
tff(c_104431,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104318,c_100839,c_104277,c_104239,c_104300,c_104288,c_104288,c_104309,c_402]) ).
tff(c_104432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_196,c_104431]) ).
tff(c_104434,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_104262]) ).
tff(c_104446,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104239,c_96671,c_66]) ).
tff(c_104447,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_104446]) ).
tff(c_104448,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_104447]) ).
tff(c_104453,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104448,c_180]) ).
tff(c_104509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104241,c_96675,c_104434,c_104453,c_22]) ).
tff(c_104511,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_104447]) ).
tff(c_104549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104243,c_96677,c_103373,c_104511,c_30]) ).
tff(c_104550,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_104238]) ).
tff(c_104552,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_104550]) ).
tff(c_104563,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103380,c_104552,c_64]) ).
tff(c_104564,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_104563]) ).
tff(c_104565,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_104564]) ).
tff(c_104570,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104565,c_110]) ).
tff(c_104555,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104552,c_174]) ).
tff(c_104590,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_104227,c_18]) ).
tff(c_104591,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_104590]) ).
tff(c_104641,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104222,c_104591,c_68]) ).
tff(c_104642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54992,c_104555,c_196,c_200,c_104641]) ).
tff(c_104643,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_104590]) ).
tff(c_104645,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_104643]) ).
tff(c_104667,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_103387,c_103374,c_54992,c_24]) ).
tff(c_104652,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104645,c_156]) ).
tff(c_104569,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104565,c_166]) ).
tff(c_104577,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_96]) ).
tff(c_104578,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_104569,c_104577]) ).
tff(c_104579,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_104578]) ).
tff(c_104657,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_104579,c_84]) ).
tff(c_104658,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_104652,c_104657]) ).
tff(c_428,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_104808,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104565,c_100839,c_104645,c_104552,c_103368,c_104667,c_104658,c_103368,c_428]) ).
tff(c_104809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_202,c_200,c_104808]) ).
tff(c_104810,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_104643]) ).
tff(c_104827,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104810,c_150]) ).
tff(c_104556,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104552,c_112]) ).
tff(c_104868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104570,c_103385,c_104827,c_104556,c_10]) ).
tff(c_104869,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_104578]) ).
tff(c_104902,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_104869,c_92]) ).
tff(c_104903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_96677,c_104230,c_204,c_104902]) ).
tff(c_104904,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_104564]) ).
tff(c_104911,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104904,c_110]) ).
tff(c_104558,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104552,c_114]) ).
tff(c_104931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104911,c_103384,c_100843,c_104558,c_12]) ).
tff(c_104932,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_104550]) ).
tff(c_104945,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103380,c_104932,c_64]) ).
tff(c_104946,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_104945]) ).
tff(c_104947,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_104946]) ).
tff(c_104950,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104947,c_166]) ).
tff(c_105100,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_96]) ).
tff(c_105101,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_104950,c_105100]) ).
tff(c_105102,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_105101]) ).
tff(c_105107,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105102,c_180]) ).
tff(c_104936,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104932,c_174]) ).
tff(c_105181,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_105107,c_96675,c_104936,c_22]) ).
tff(c_105134,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_96679,c_100846,c_54990,c_2]) ).
tff(c_105105,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105102,c_136]) ).
tff(c_103371,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_140]) ).
tff(c_105123,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_105105,c_103371,c_26]) ).
tff(c_105124,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_105123]) ).
tff(c_104951,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104947,c_110]) ).
tff(c_104937,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104932,c_112]) ).
tff(c_104956,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_104227,c_18]) ).
tff(c_104957,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_104956]) ).
tff(c_104958,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_96679,c_100846,c_54990,c_2]) ).
tff(c_104962,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104958,c_148]) ).
tff(c_104979,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104957,c_104962]) ).
tff(c_104980,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_104956]) ).
tff(c_104982,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_104980]) ).
tff(c_104987,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104982,c_150]) ).
tff(c_105085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104951,c_103385,c_104937,c_104987,c_10]) ).
tff(c_105086,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_104980]) ).
tff(c_105172,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105124,c_105086,c_105134,c_34]) ).
tff(c_105173,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_105172]) ).
tff(c_105112,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104222,c_105086,c_80]) ).
tff(c_105113,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_105112]) ).
tff(c_105114,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_105113]) ).
tff(c_105267,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105181,c_96671,c_105134,c_105173,c_100839,c_105086,c_105114,c_105102,c_466]) ).
tff(c_105268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_204,c_105267]) ).
tff(c_105269,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_105123]) ).
tff(c_105306,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103368,c_105102,c_105269,c_92]) ).
tff(c_105307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_104230,c_196,c_105306]) ).
tff(c_105308,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_105113]) ).
tff(c_105321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105107,c_105308]) ).
tff(c_105322,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_105101]) ).
tff(c_105327,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105322,c_152]) ).
tff(c_105357,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_100839,c_48]) ).
tff(c_105358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_105327,c_105357]) ).
tff(c_105359,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_104946]) ).
tff(c_105363,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105359,c_146]) ).
tff(c_105442,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_100839,c_48]) ).
tff(c_105443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_105363,c_105442]) ).
tff(c_105444,plain,
op(e0,e0) = e1,
inference(splitRight,[status(thm)],[c_103364]) ).
tff(c_105473,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105444,c_96]) ).
tff(c_105474,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_105473]) ).
tff(c_105475,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_105474]) ).
tff(c_105479,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105475,c_178]) ).
tff(c_105485,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_105479,c_96676,c_14]) ).
tff(c_105486,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_105485]) ).
tff(c_105491,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105486,c_120]) ).
tff(c_105452,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105444,c_190]) ).
tff(c_105508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54991,c_105491,c_105452,c_74756]) ).
tff(c_105509,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_105485]) ).
tff(c_105878,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105509,c_114]) ).
tff(c_105451,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105444,c_192]) ).
tff(c_105477,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105475,c_136]) ).
tff(c_105448,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105444,c_140]) ).
tff(c_105458,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_100844,c_72]) ).
tff(c_105459,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_105458]) ).
tff(c_105465,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105459,c_186]) ).
tff(c_105470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54991,c_105465,c_105452,c_74756]) ).
tff(c_105471,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_105458]) ).
tff(c_105533,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_105471]) ).
tff(c_105539,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105533,c_156]) ).
tff(c_105599,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_105477,c_105448,c_105539,c_26]) ).
tff(c_105608,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105444,c_105475,c_105599,c_88]) ).
tff(c_105609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_100845,c_194,c_105608]) ).
tff(c_105610,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_105471]) ).
tff(c_105622,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_54991,c_105452,c_74756]) ).
tff(c_105511,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100843,c_12]) ).
tff(c_105512,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_105511]) ).
tff(c_105747,plain,
( ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105622,c_105509,c_105512,c_60]) ).
tff(c_105748,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_105747]) ).
tff(c_105515,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105512,c_162]) ).
tff(c_105632,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_105515,c_100844,c_20]) ).
tff(c_105633,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_105632]) ).
tff(c_105472,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_105458]) ).
tff(c_105656,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_105451,c_105472,c_54992,c_24]) ).
tff(c_105828,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105610,c_96671,c_96671,c_105748,c_105509,c_105633,c_105656,c_105475,c_474]) ).
tff(c_105829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_194,c_204,c_105828]) ).
tff(c_105830,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_105632]) ).
tff(c_105844,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105610,c_105830,c_76]) ).
tff(c_105845,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_105451,c_198,c_196,c_105844]) ).
tff(c_105850,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105845,c_150]) ).
tff(c_105866,plain,
( ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105622,c_105509,c_105512,c_60]) ).
tff(c_105867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_105850,c_105866]) ).
tff(c_105868,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_105511]) ).
tff(c_105944,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_105878,c_105868]) ).
tff(c_105951,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105944,c_110]) ).
tff(c_105956,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_54991,c_105452,c_74756]) ).
tff(c_105960,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105956,c_116]) ).
tff(c_105876,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105509,c_112]) ).
tff(c_105978,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_105951,c_105960,c_105876,c_10]) ).
tff(c_105966,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_100839,c_48]) ).
tff(c_105967,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_105966]) ).
tff(c_105972,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105967,c_146]) ).
tff(c_105989,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_105978,c_105972]) ).
tff(c_105990,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_105474]) ).
tff(c_105992,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_105990]) ).
tff(c_105996,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105992,c_152]) ).
tff(c_106073,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_100839,c_48]) ).
tff(c_106074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_105996,c_106073]) ).
tff(c_106076,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_105990]) ).
tff(c_106499,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_105471]) ).
tff(c_106505,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106499,c_156]) ).
tff(c_106579,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106076,c_105448,c_106505,c_26]) ).
tff(c_106487,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_105451,c_105472,c_54992,c_24]) ).
tff(c_106510,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_54991,c_105452,c_74756]) ).
tff(c_105991,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_105474]) ).
tff(c_106110,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_54991,c_105452,c_74756]) ).
tff(c_106115,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106110,c_120]) ).
tff(c_106121,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_96676,c_14]) ).
tff(c_106122,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_106121]) ).
tff(c_106125,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106122,c_174]) ).
tff(c_106099,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_105471]) ).
tff(c_106103,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106099,c_124]) ).
tff(c_106075,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_105990]) ).
tff(c_106082,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106075,c_168]) ).
tff(c_106081,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106075,c_166]) ).
tff(c_106087,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106081,c_100843,c_12]) ).
tff(c_106088,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_106087]) ).
tff(c_106092,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106088,c_162]) ).
tff(c_106146,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106082,c_106092,c_100844,c_20]) ).
tff(c_106151,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106146,c_126]) ).
tff(c_106196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106125,c_96675,c_106103,c_106151,c_22]) ).
tff(c_106197,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_106121]) ).
tff(c_106209,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106115,c_106197]) ).
tff(c_106230,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106110,c_106209,c_106088,c_64]) ).
tff(c_106231,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_106230]) ).
tff(c_106235,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106231,c_146]) ).
tff(c_106243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106235,c_96679,c_100846,c_54990,c_2]) ).
tff(c_106244,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_105471]) ).
tff(c_106250,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106244,c_174]) ).
tff(c_106267,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_96676,c_106250,c_14]) ).
tff(c_106268,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_106267]) ).
tff(c_106251,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106244,c_180]) ).
tff(c_106277,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105444,c_106075,c_88]) ).
tff(c_106278,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_106251,c_202,c_106277]) ).
tff(c_106337,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105444,c_106075,c_106278,c_84]) ).
tff(c_106338,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_106337]) ).
tff(c_106427,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_106088,c_106268,c_106088,c_106338,c_106268,c_106088,c_106088,c_730]) ).
tff(c_106428,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_106267]) ).
tff(c_106472,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106244,c_106428,c_96671,c_78]) ).
tff(c_106473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105991,c_202,c_200,c_204,c_106472]) ).
tff(c_106474,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_106087]) ).
tff(c_106522,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106510,c_106474,c_64]) ).
tff(c_106523,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_106522]) ).
tff(c_106524,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_106523]) ).
tff(c_106606,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_96679,c_100846,c_54990,c_2]) ).
tff(c_106687,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106579,c_54986,c_106487,c_106524,c_100839,c_106499,c_106606,c_106579,c_654]) ).
tff(c_106688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_194,c_200,c_106687]) ).
tff(c_106690,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_106523]) ).
tff(c_106491,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106487,c_132]) ).
tff(c_106503,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106499,c_124]) ).
tff(c_106709,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106491,c_96675,c_106503,c_22]) ).
tff(c_106714,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106709,c_180]) ).
tff(c_106727,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_105991,c_96677,c_106714,c_30]) ).
tff(c_106737,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106727,c_106709,c_96671,c_78]) ).
tff(c_106738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_106690,c_204,c_106737]) ).
tff(c_106739,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_105471]) ).
tff(c_106745,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106739,c_174]) ).
tff(c_106480,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106474,c_114]) ).
tff(c_106776,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_96676,c_106745,c_106480,c_14]) ).
tff(c_106780,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106776,c_112]) ).
tff(c_106751,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_54991,c_105452,c_74756]) ).
tff(c_106755,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106751,c_116]) ).
tff(c_106481,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106474,c_110]) ).
tff(c_106837,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_106780,c_106755,c_106481,c_10]) ).
tff(c_106479,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106474,c_162]) ).
tff(c_106763,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106082,c_100844,c_106479,c_20]) ).
tff(c_106746,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106739,c_180]) ).
tff(c_106790,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105444,c_106075,c_88]) ).
tff(c_106791,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_106746,c_202,c_106790]) ).
tff(c_106818,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54986,c_96671,c_100839,c_48]) ).
tff(c_106819,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_106818]) ).
tff(c_106846,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106791,c_106837,c_106819,c_34]) ).
tff(c_106847,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_106846]) ).
tff(c_106810,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_105991,c_96677,c_106746,c_30]) ).
tff(c_106927,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106739,c_96671,c_96671,c_106837,c_106776,c_106763,c_106847,c_106810,c_474]) ).
tff(c_106928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_202,c_196,c_106927]) ).
tff(c_106929,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_54984]) ).
tff(c_106931,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_106929]) ).
tff(c_106938,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_184]) ).
tff(c_106936,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_104]) ).
tff(c_106934,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_108]) ).
tff(c_106944,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106934,c_6]) ).
tff(c_106945,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_106944]) ).
tff(c_106948,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106945,c_170]) ).
tff(c_106949,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106945,c_176]) ).
tff(c_121315,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106949,c_96]) ).
tff(c_121316,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_121315]) ).
tff(c_121322,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121316,c_190]) ).
tff(c_106937,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_182]) ).
tff(c_106950,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106945,c_102]) ).
tff(c_106935,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_106]) ).
tff(c_106951,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106945,c_100]) ).
tff(c_106956,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_106945,c_40]) ).
tff(c_106957,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_106956]) ).
tff(c_106958,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_106957]) ).
tff(c_109505,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106958,c_164]) ).
tff(c_106939,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_188]) ).
tff(c_109511,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_32]) ).
tff(c_109512,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_109511]) ).
tff(c_109518,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_190]) ).
tff(c_109506,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106958,c_98]) ).
tff(c_109504,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106958,c_160]) ).
tff(c_106959,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_106972,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106959,c_162]) ).
tff(c_106962,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106958,c_158]) ).
tff(c_108036,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106972,c_106962,c_12]) ).
tff(c_108037,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_108036]) ).
tff(c_108042,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_108037,c_114]) ).
tff(c_106965,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106958,c_98]) ).
tff(c_108043,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_108037,c_110]) ).
tff(c_108060,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_108043,c_10]) ).
tff(c_108061,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_108060]) ).
tff(c_108067,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_108061,c_116]) ).
tff(c_106970,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106959,c_130]) ).
tff(c_108020,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_24]) ).
tff(c_108021,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_108020]) ).
tff(c_108022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106970,c_108021]) ).
tff(c_108023,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_108020]) ).
tff(c_108025,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_108023]) ).
tff(c_108031,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108025,c_192]) ).
tff(c_106980,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_32]) ).
tff(c_106981,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_106980]) ).
tff(c_106974,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106959,c_168]) ).
tff(c_106971,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106959,c_122]) ).
tff(c_107003,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106981,c_92]) ).
tff(c_107004,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_107003]) ).
tff(c_107005,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_107004]) ).
tff(c_106964,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106958,c_164]) ).
tff(c_107006,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106981,c_88]) ).
tff(c_107007,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_106964,c_107006]) ).
tff(c_107008,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_107007]) ).
tff(c_107018,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_107005,c_107008]) ).
tff(c_107019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_107018]) ).
tff(c_107020,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_107007]) ).
tff(c_107046,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106981,c_107005,c_107020,c_84]) ).
tff(c_107047,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_107046]) ).
tff(c_107051,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107047,c_166]) ).
tff(c_107117,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106972,c_106962,c_107051,c_12]) ).
tff(c_107025,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107005,c_178]) ).
tff(c_106947,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106945,c_172]) ).
tff(c_107026,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107005,c_180]) ).
tff(c_107086,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_107026,c_22]) ).
tff(c_107087,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_107086]) ).
tff(c_107091,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107087,c_174]) ).
tff(c_107105,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106948,c_107025,c_107091,c_14]) ).
tff(c_107192,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107117,c_107105,c_107117,c_106945,c_107117,c_107105,c_107117,c_740]) ).
tff(c_107193,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_107086]) ).
tff(c_107037,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107020,c_156]) ).
tff(c_106992,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_106965,c_2]) ).
tff(c_106996,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106992,c_148]) ).
tff(c_107072,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_106971,c_107037,c_106996,c_18]) ).
tff(c_107208,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107193,c_106959,c_107072,c_72]) ).
tff(c_107209,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_107208]) ).
tff(c_107036,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107020,c_154]) ).
tff(c_106997,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106992,c_146]) ).
tff(c_107060,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107036,c_106997,c_10]) ).
tff(c_107061,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_107060]) ).
tff(c_107325,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107209,c_106945,c_106931,c_107061,c_107047,c_107209,c_107193,c_107005,c_490]) ).
tff(c_107326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_200,c_196,c_107325]) ).
tff(c_107327,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_107060]) ).
tff(c_107331,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107327,c_150]) ).
tff(c_107346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106971,c_107331,c_107037,c_106996,c_18]) ).
tff(c_107347,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_107004]) ).
tff(c_107349,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_107347]) ).
tff(c_107352,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107349,c_134]) ).
tff(c_107402,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106981,c_107349,c_84]) ).
tff(c_107403,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_107402]) ).
tff(c_107404,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_107403]) ).
tff(c_107407,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107404,c_138]) ).
tff(c_107458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106974,c_107352,c_106964,c_107407,c_28]) ).
tff(c_107459,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_107403]) ).
tff(c_107465,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107459,c_166]) ).
tff(c_107540,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106972,c_106962,c_107465,c_12]) ).
tff(c_107348,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_107004]) ).
tff(c_107460,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_107403]) ).
tff(c_107470,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106949,c_107348,c_107460,c_30]) ).
tff(c_107508,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107470,c_106945,c_74]) ).
tff(c_107509,plain,
( ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_107508]) ).
tff(c_107510,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_107509]) ).
tff(c_107514,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107510,c_174]) ).
tff(c_107474,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107470,c_178]) ).
tff(c_107555,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106948,c_107514,c_107474,c_14]) ).
tff(c_107612,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107540,c_107555,c_107540,c_106945,c_107555,c_107540,c_107540,c_740]) ).
tff(c_107613,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_107509]) ).
tff(c_107621,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107613,c_114]) ).
tff(c_107648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106972,c_107621,c_106962,c_107465,c_12]) ).
tff(c_107649,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_107347]) ).
tff(c_106998,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106992,c_152]) ).
tff(c_107660,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106981,c_107649,c_88]) ).
tff(c_107661,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_107660]) ).
tff(c_107662,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_107661]) ).
tff(c_107683,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106981,c_107662,c_107649,c_84]) ).
tff(c_107684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_106998,c_107683]) ).
tff(c_107685,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_107661]) ).
tff(c_107709,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106981,c_107649,c_107685,c_84]) ).
tff(c_107710,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_107709]) ).
tff(c_107691,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107685,c_154]) ).
tff(c_107697,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107691,c_106997,c_10]) ).
tff(c_107698,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_107697]) ).
tff(c_107692,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107685,c_156]) ).
tff(c_107738,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106959,c_72]) ).
tff(c_107739,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_107692,c_107738]) ).
tff(c_107740,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_107739]) ).
tff(c_107743,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107740,c_132]) ).
tff(c_107715,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107710,c_180]) ).
tff(c_107756,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_106947,c_107743,c_107715,c_22]) ).
tff(c_107760,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107756,c_124]) ).
tff(c_107774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106971,c_107760,c_107692,c_106996,c_18]) ).
tff(c_107775,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_107739]) ).
tff(c_107781,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107775,c_174]) ).
tff(c_107714,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107710,c_178]) ).
tff(c_107788,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_106948,c_107781,c_107714,c_14]) ).
tff(c_107912,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107710,c_106931,c_106931,c_107698,c_106959,c_107775,c_107788,c_107649,c_608]) ).
tff(c_107913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_204,c_198,c_107912]) ).
tff(c_107914,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_107697]) ).
tff(c_107931,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107914,c_112]) ).
tff(c_107916,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106981,c_107649,c_107685,c_84]) ).
tff(c_107917,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_107916]) ).
tff(c_106987,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106981,c_190]) ).
tff(c_107940,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106959,c_72]) ).
tff(c_107941,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_107692,c_107940]) ).
tff(c_107942,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_107941]) ).
tff(c_107957,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107942,c_186]) ).
tff(c_107655,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107649,c_166]) ).
tff(c_107943,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106972,c_107655,c_106962,c_12]) ).
tff(c_107947,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107943,c_118]) ).
tff(c_107979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106987,c_106937,c_107957,c_107947,c_16]) ).
tff(c_107980,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_107941]) ).
tff(c_108016,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107917,c_107980,c_106945,c_74]) ).
tff(c_108017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_107931,c_204,c_108016]) ).
tff(c_108018,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_106980]) ).
tff(c_108048,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_108031,c_108018]) ).
tff(c_108055,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108048,c_190]) ).
tff(c_108030,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108025,c_186]) ).
tff(c_108087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108067,c_106937,c_108055,c_108030,c_16]) ).
tff(c_108088,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_108060]) ).
tff(c_108090,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_108088]) ).
tff(c_108093,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108090,c_146]) ).
tff(c_108104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_106965,c_108093,c_2]) ).
tff(c_108105,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_108088]) ).
tff(c_108113,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108105,c_112]) ).
tff(c_108186,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106948,c_108042,c_108113,c_14]) ).
tff(c_108284,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108037,c_108186,c_108037,c_106945,c_108186,c_108037,c_108037,c_740]) ).
tff(c_108285,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_108036]) ).
tff(c_108298,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_108031,c_108018]) ).
tff(c_108290,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108285,c_166]) ).
tff(c_108444,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108298,c_84]) ).
tff(c_108445,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_108290,c_108444]) ).
tff(c_108446,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_108445]) ).
tff(c_108292,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108285,c_110]) ).
tff(c_108312,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_108292,c_10]) ).
tff(c_108313,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_108312]) ).
tff(c_108319,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_108313,c_116]) ).
tff(c_108305,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108298,c_190]) ).
tff(c_108324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108319,c_106937,c_108305,c_108030,c_16]) ).
tff(c_108325,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_108312]) ).
tff(c_108338,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_108325]) ).
tff(c_108342,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108338,c_150]) ).
tff(c_108028,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108025,c_132]) ).
tff(c_108327,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_108028,c_22]) ).
tff(c_108328,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_108327]) ).
tff(c_108415,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108025,c_108328,c_106959,c_72]) ).
tff(c_108416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_108342,c_108415]) ).
tff(c_108417,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_108325]) ).
tff(c_108433,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_108305,c_108030,c_16]) ).
tff(c_108459,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108298,c_108446,c_96]) ).
tff(c_108460,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_106974,c_108459]) ).
tff(c_598,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_108598,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108446,c_106931,c_106945,c_108417,c_108433,c_106959,c_106931,c_108460,c_598]) ).
tff(c_108599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_202,c_196,c_108598]) ).
tff(c_108600,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_108445]) ).
tff(c_108612,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108298,c_108600,c_96]) ).
tff(c_108613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_106949,c_106974,c_200,c_108612]) ).
tff(c_108614,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_108327]) ).
tff(c_108291,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108285,c_114]) ).
tff(c_108661,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108614,c_106945,c_74]) ).
tff(c_108662,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_108661]) ).
tff(c_108663,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_108662]) ).
tff(c_108684,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108663,c_108614,c_106945,c_66]) ).
tff(c_108685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_108291,c_200,c_108684]) ).
tff(c_108686,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_108662]) ).
tff(c_108618,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108614,c_124]) ).
tff(c_108029,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108025,c_128]) ).
tff(c_108709,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_106971,c_108618,c_108029,c_18]) ).
tff(c_108696,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108614,c_108686,c_106945,c_66]) ).
tff(c_108697,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_108696]) ).
tff(c_108728,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108298,c_108697,c_96]) ).
tff(c_108729,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_106974,c_108728]) ).
tff(c_108738,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108298,c_108697,c_108729,c_92]) ).
tff(c_108739,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_108738]) ).
tff(c_108827,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108285,c_106958,c_108614,c_108686,c_106945,c_108709,c_108739,c_108298,c_404]) ).
tff(c_108828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_200,c_204,c_108827]) ).
tff(c_108829,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_108023]) ).
tff(c_108842,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_108990,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_92]) ).
tff(c_108991,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_108990]) ).
tff(c_108992,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_108991]) ).
tff(c_109019,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_108992,c_88]) ).
tff(c_109020,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_106964,c_109019]) ).
tff(c_109059,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_108992,c_109020,c_96]) ).
tff(c_109060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_106974,c_202,c_109059]) ).
tff(c_109061,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_108991]) ).
tff(c_109063,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_109061]) ).
tff(c_109098,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_109063,c_88]) ).
tff(c_109099,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_106964,c_198,c_109098]) ).
tff(c_109113,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_109099,c_109063,c_96]) ).
tff(c_109114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_106974,c_204,c_109113]) ).
tff(c_109115,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_109061]) ).
tff(c_109122,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109115,c_166]) ).
tff(c_108934,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_108939,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_108934,c_116]) ).
tff(c_108835,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108829,c_186]) ).
tff(c_108848,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_190]) ).
tff(c_108975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108939,c_106937,c_108835,c_108848,c_16]) ).
tff(c_108976,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_108978,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_108976]) ).
tff(c_108985,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108978,c_110]) ).
tff(c_109142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106972,c_109122,c_106962,c_108985,c_12]) ).
tff(c_109143,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_108976]) ).
tff(c_109145,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_109143]) ).
tff(c_109153,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109145,c_110]) ).
tff(c_109224,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106959,c_106958,c_58]) ).
tff(c_109225,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_109153,c_198,c_109224]) ).
tff(c_109229,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109225,c_138]) ).
tff(c_109169,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_88]) ).
tff(c_109170,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_106964,c_109169]) ).
tff(c_109171,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_109170]) ).
tff(c_109176,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109171,c_178]) ).
tff(c_109158,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109145,c_64]) ).
tff(c_109159,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106948,c_106972,c_204,c_109158]) ).
tff(c_108833,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108829,c_132]) ).
tff(c_108854,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_108833,c_22]) ).
tff(c_108855,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_108854]) ).
tff(c_108881,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108829,c_108855,c_106959,c_68]) ).
tff(c_108882,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_108881]) ).
tff(c_108886,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108882,c_148]) ).
tff(c_108919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_106965,c_108886,c_2]) ).
tff(c_108920,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_108854]) ).
tff(c_108925,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108920,c_174]) ).
tff(c_52,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_109183,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109159,c_109145,c_52]) ).
tff(c_109184,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_108925,c_196,c_109183]) ).
tff(c_109208,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109159,c_109184,c_109145,c_56]) ).
tff(c_109209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_109176,c_194,c_198,c_109208]) ).
tff(c_109211,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_109170]) ).
tff(c_108847,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_144]) ).
tff(c_109235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106949,c_109229,c_109211,c_108847,c_30]) ).
tff(c_109236,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_109143]) ).
tff(c_109242,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109236,c_154]) ).
tff(c_109251,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108920,c_106945,c_74]) ).
tff(c_109252,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_109251]) ).
tff(c_109253,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_109252]) ).
tff(c_109293,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_109253,c_88]) ).
tff(c_109294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_106964,c_109242,c_109293]) ).
tff(c_109295,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_109252]) ).
tff(c_109309,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109295,c_109236,c_64]) ).
tff(c_109310,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_106972,c_202,c_109309]) ).
tff(c_109333,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_88]) ).
tff(c_109334,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_106964,c_109242,c_109333]) ).
tff(c_109344,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108842,c_109334,c_92]) ).
tff(c_109345,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_109344]) ).
tff(c_109346,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_109345]) ).
tff(c_109470,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108829,c_106945,c_108842,c_109310,c_109310,c_106959,c_109295,c_109346,c_568]) ).
tff(c_109471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_202,c_198,c_109470]) ).
tff(c_109473,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_109345]) ).
tff(c_109321,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109310,c_109295,c_109236,c_52]) ).
tff(c_109322,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_109321]) ).
tff(c_109483,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106959,c_109322,c_106958,c_58]) ).
tff(c_109484,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109473,c_204,c_196,c_198,c_109483]) ).
tff(c_109486,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_108836,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108829,c_192]) ).
tff(c_109498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109486,c_108836,c_108018]) ).
tff(c_109499,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_109523,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_109504,c_109499]) ).
tff(c_109524,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_109523]) ).
tff(c_110181,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109524,c_168]) ).
tff(c_109515,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_142]) ).
tff(c_109517,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_192]) ).
tff(c_109525,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_84]) ).
tff(c_109526,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_109525]) ).
tff(c_109527,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_109526]) ).
tff(c_109550,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_109556,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_109550,c_110]) ).
tff(c_109561,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_109527,c_92]) ).
tff(c_109562,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_109561]) ).
tff(c_109563,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_109562]) ).
tff(c_109568,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109563,c_166]) ).
tff(c_109503,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106958,c_158]) ).
tff(c_109532,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109524,c_162]) ).
tff(c_109651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109556,c_109568,c_109503,c_109532,c_12]) ).
tff(c_109652,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_109562]) ).
tff(c_109742,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_109527,c_109652,c_88]) ).
tff(c_109743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_109505,c_198,c_109742]) ).
tff(c_109744,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_109746,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_109744]) ).
tff(c_109748,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109746,c_146]) ).
tff(c_109800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_109748,c_2]) ).
tff(c_109801,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_109744]) ).
tff(c_109805,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_109801]) ).
tff(c_109813,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109805,c_110]) ).
tff(c_109889,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_109813,c_109503,c_109532,c_12]) ).
tff(c_109543,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109527,c_180]) ).
tff(c_109820,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_109543,c_22]) ).
tff(c_109821,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_109820]) ).
tff(c_109831,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109821,c_109524,c_80]) ).
tff(c_109832,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_109517,c_204,c_200,c_109831]) ).
tff(c_109842,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109821,c_109524,c_109832,c_72]) ).
tff(c_109843,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_109842]) ).
tff(c_109847,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109843,c_186]) ).
tff(c_109905,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_109518,c_106937,c_109847,c_16]) ).
tff(c_728,plain,
( ( op(op(e2,op(e2,e2)),op(e2,e2)) != e1 )
| ( op(e2,op(e2,e2)) != e3 )
| ( op(e2,e2) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_634]) ).
tff(c_109982,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109889,c_109905,c_109889,c_106931,c_109905,c_109889,c_109889,c_728]) ).
tff(c_109983,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_109820]) ).
tff(c_109988,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109983,c_132]) ).
tff(c_109530,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109524,c_130]) ).
tff(c_110058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109517,c_106938,c_109988,c_109530,c_24]) ).
tff(c_110059,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_109801]) ).
tff(c_110065,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110059,c_154]) ).
tff(c_110106,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_109527,c_92]) ).
tff(c_110107,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_110106]) ).
tff(c_110108,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_110107]) ).
tff(c_110146,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_109527,c_110108,c_88]) ).
tff(c_110147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_110065,c_110146]) ).
tff(c_110149,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_110107]) ).
tff(c_109541,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109527,c_138]) ).
tff(c_110172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109515,c_110149,c_109505,c_109541,c_28]) ).
tff(c_110173,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_109526]) ).
tff(c_110197,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_110181,c_110173]) ).
tff(c_110201,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110197,c_152]) ).
tff(c_110214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_110201,c_2]) ).
tff(c_110215,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_109523]) ).
tff(c_110221,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110215,c_162]) ).
tff(c_110492,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_110221,c_109503,c_12]) ).
tff(c_110493,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_110492]) ).
tff(c_110223,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110215,c_168]) ).
tff(c_110229,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_92]) ).
tff(c_110230,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_110223,c_110229]) ).
tff(c_110231,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_110230]) ).
tff(c_110241,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_110231,c_88]) ).
tff(c_110242,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_109505,c_110241]) ).
tff(c_110520,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_110231,c_110242,c_84]) ).
tff(c_110521,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_110520]) ).
tff(c_110222,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110215,c_126]) ).
tff(c_110253,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_109517,c_106938,c_24]) ).
tff(c_110254,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_110253]) ).
tff(c_110257,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110254,c_132]) ).
tff(c_110303,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106947,c_110222,c_110257,c_22]) ).
tff(c_110220,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110215,c_122]) ).
tff(c_110248,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110242,c_156]) ).
tff(c_110307,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110303,c_124]) ).
tff(c_110329,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_110220,c_110248,c_110307,c_18]) ).
tff(c_110465,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110303,c_110329,c_110303,c_110242,c_110329,c_110303,c_110303,c_754]) ).
tff(c_110466,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_110253]) ).
tff(c_110472,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110466,c_186]) ).
tff(c_110591,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_109518,c_106937,c_110472,c_16]) ).
tff(c_110470,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110466,c_132]) ).
tff(c_110482,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106947,c_110222,c_110470,c_22]) ).
tff(c_110649,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110493,c_106958,c_110521,c_110591,c_110242,c_110466,c_110482,c_110231,c_458]) ).
tff(c_110650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_202,c_198,c_110649]) ).
tff(c_110651,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_110492]) ).
tff(c_110664,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110651,c_64]) ).
tff(c_110665,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_109518,c_106948,c_200,c_110664]) ).
tff(c_110669,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_110665,c_150]) ).
tff(c_110676,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110466,c_110482,c_110215,c_80]) ).
tff(c_110677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_110669,c_110676]) ).
tff(c_110678,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_110230]) ).
tff(c_110684,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110678,c_154]) ).
tff(c_110719,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_110221,c_109503,c_12]) ).
tff(c_110720,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_110719]) ).
tff(c_110690,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_110678,c_88]) ).
tff(c_110691,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_109505,c_198,c_110690]) ).
tff(c_110696,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110691,c_180]) ).
tff(c_110701,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110215,c_72]) ).
tff(c_110702,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_110696,c_198,c_110701]) ).
tff(c_110703,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_110702]) ).
tff(c_110708,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110703,c_186]) ).
tff(c_110791,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_109518,c_106937,c_110708,c_16]) ).
tff(c_110877,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110720,c_110791,c_110720,c_106931,c_110791,c_110720,c_110720,c_728]) ).
tff(c_110878,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_110719]) ).
tff(c_110940,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110215,c_110878,c_106958,c_62]) ).
tff(c_110941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109515,c_204,c_200,c_202,c_110940]) ).
tff(c_110942,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_110702]) ).
tff(c_110947,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110942,c_150]) ).
tff(c_110967,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_2]) ).
tff(c_110971,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110967,c_146]) ).
tff(c_110978,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_110684,c_110947,c_110971,c_10]) ).
tff(c_110984,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_110978,c_110]) ).
tff(c_110991,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_110984,c_110221,c_109503,c_12]) ).
tff(c_110996,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110991,c_166]) ).
tff(c_111002,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109512,c_110691,c_110678,c_84]) ).
tff(c_111003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_110996,c_196,c_111002]) ).
tff(c_111004,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_109511]) ).
tff(c_111008,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_111004]) ).
tff(c_111667,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_96]) ).
tff(c_111668,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_106949,c_111667]) ).
tff(c_111669,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_111668]) ).
tff(c_111674,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111669,c_166]) ).
tff(c_111654,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_109504,c_109499]) ).
tff(c_111655,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_111654]) ).
tff(c_111660,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111655,c_162]) ).
tff(c_111805,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_111674,c_109503,c_111660,c_12]) ).
tff(c_111810,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111805,c_114]) ).
tff(c_111020,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_111025,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111020,c_116]) ).
tff(c_111013,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_144]) ).
tff(c_111515,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106949,c_111013,c_30]) ).
tff(c_111516,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_111515]) ).
tff(c_111520,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111516,c_178]) ).
tff(c_111026,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111020,c_110]) ).
tff(c_111031,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_109504,c_109499]) ).
tff(c_111032,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_111031]) ).
tff(c_111037,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111032,c_162]) ).
tff(c_111352,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_111026,c_109503,c_111037,c_12]) ).
tff(c_111023,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111020,c_154]) ).
tff(c_111044,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_96]) ).
tff(c_111045,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_106949,c_111023,c_111044]) ).
tff(c_111133,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_111026,c_109503,c_111037,c_12]) ).
tff(c_111057,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_111045,c_88]) ).
tff(c_111058,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_111057]) ).
tff(c_111059,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_111058]) ).
tff(c_111064,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111059,c_180]) ).
tff(c_111038,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111032,c_126]) ).
tff(c_111101,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_106947,c_111064,c_111038,c_22]) ).
tff(c_111106,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111101,c_174]) ).
tff(c_111063,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111059,c_178]) ).
tff(c_111115,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106948,c_111106,c_111063,c_14]) ).
tff(c_111212,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111133,c_111115,c_111133,c_106945,c_111133,c_111115,c_111133,c_740]) ).
tff(c_111213,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_111058]) ).
tff(c_111224,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_111045,c_111213,c_92]) ).
tff(c_111225,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_111224]) ).
tff(c_111229,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111225,c_178]) ).
tff(c_111235,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_111038,c_22]) ).
tff(c_111236,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_111235]) ).
tff(c_111230,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111225,c_180]) ).
tff(c_111247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111236,c_111230]) ).
tff(c_111248,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_111235]) ).
tff(c_111255,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111248,c_174]) ).
tff(c_111317,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106948,c_111229,c_111255,c_14]) ).
tff(c_111387,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111352,c_111317,c_111352,c_106945,c_111352,c_111317,c_111352,c_740]) ).
tff(c_111388,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_111031]) ).
tff(c_111395,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111388,c_162]) ).
tff(c_111427,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_111026,c_111395,c_109503,c_12]) ).
tff(c_111432,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111427,c_114]) ).
tff(c_111529,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106948,c_111520,c_111432,c_14]) ).
tff(c_111533,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111529,c_120]) ).
tff(c_111015,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_190]) ).
tff(c_111538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111025,c_106937,c_111533,c_111015,c_16]) ).
tff(c_111539,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_111515]) ).
tff(c_111415,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_96]) ).
tff(c_111416,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_106949,c_111023,c_111415]) ).
tff(c_111550,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_111539,c_111416,c_92]) ).
tff(c_111551,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_111550]) ).
tff(c_111022,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111020,c_150]) ).
tff(c_111394,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111388,c_122]) ).
tff(c_111396,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111388,c_126]) ).
tff(c_111437,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_111396,c_22]) ).
tff(c_111438,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_111437]) ).
tff(c_111443,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111438,c_180]) ).
tff(c_111448,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_111416,c_88]) ).
tff(c_111449,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_111448]) ).
tff(c_111450,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_111449]) ).
tff(c_111451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111443,c_111450]) ).
tff(c_111452,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_111449]) ).
tff(c_111441,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111438,c_124]) ).
tff(c_111476,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_111022,c_111394,c_111441,c_18]) ).
tff(c_111489,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111452,c_111476,c_111020,c_42]) ).
tff(c_111490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_106936,c_111489]) ).
tff(c_111491,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_111437]) ).
tff(c_111495,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111491,c_124]) ).
tff(c_111586,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_111022,c_111394,c_111495,c_18]) ).
tff(c_111651,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_111551,c_111008,c_111586,c_111551,c_111008,c_111008,c_758]) ).
tff(c_111652,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_111679,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_111652]) ).
tff(c_111681,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111679,c_146]) ).
tff(c_111716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_111681,c_2]) ).
tff(c_111717,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_111652]) ).
tff(c_111721,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_111717]) ).
tff(c_111729,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111721,c_110]) ).
tff(c_111745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111674,c_111729,c_109503,c_111660,c_12]) ).
tff(c_111746,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_111717]) ).
tff(c_111754,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111746,c_112]) ).
tff(c_111846,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106948,c_111810,c_111754,c_14]) ).
tff(c_111940,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111805,c_111846,c_111805,c_106945,c_111846,c_111805,c_111805,c_740]) ).
tff(c_111942,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_111668]) ).
tff(c_112380,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111655,c_106958,c_62]) ).
tff(c_112381,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_111942,c_200,c_202,c_112380]) ).
tff(c_112385,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_112381,c_118]) ).
tff(c_111014,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_192]) ).
tff(c_111943,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_111014,c_24]) ).
tff(c_111944,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_111943]) ).
tff(c_111949,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111944,c_186]) ).
tff(c_111964,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_111652]) ).
tff(c_111966,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111964,c_146]) ).
tff(c_112050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_111966,c_2]) ).
tff(c_112051,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_111652]) ).
tff(c_112053,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_112051]) ).
tff(c_112057,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112053,c_150]) ).
tff(c_111948,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111944,c_128]) ).
tff(c_111659,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111655,c_122]) ).
tff(c_112065,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_111948,c_111659,c_18]) ).
tff(c_112066,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_112065]) ).
tff(c_112067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112057,c_112066]) ).
tff(c_112068,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_112065]) ).
tff(c_112074,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112068,c_124]) ).
tff(c_111661,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111655,c_126]) ).
tff(c_112079,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_111661,c_22]) ).
tff(c_112080,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_112079]) ).
tff(c_112084,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112080,c_180]) ).
tff(c_111941,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_111668]) ).
tff(c_112118,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_111941,c_92]) ).
tff(c_112119,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_112084,c_204,c_112118]) ).
tff(c_112135,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_112119,c_111941,c_88]) ).
tff(c_112136,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_112135]) ).
tff(c_112237,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112136,c_106931,c_106945,c_112053,c_111008,c_111944,c_111655,c_112136,c_618]) ).
tff(c_112238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_200,c_196,c_112237]) ).
tff(c_112239,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_112079]) ).
tff(c_112241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112074,c_112239]) ).
tff(c_112242,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_112051]) ).
tff(c_112249,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112242,c_116]) ).
tff(c_112311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111949,c_106937,c_112249,c_111015,c_16]) ).
tff(c_112312,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_111943]) ).
tff(c_112394,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_112312,c_106931,c_94]) ).
tff(c_112395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_112385,c_204,c_112394]) ).
tff(c_112396,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_111654]) ).
tff(c_112404,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112396,c_168]) ).
tff(c_112403,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112396,c_126]) ).
tff(c_112401,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112396,c_122]) ).
tff(c_112495,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_112401,c_18]) ).
tff(c_112496,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_112495]) ).
tff(c_112508,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112396,c_112496,c_72]) ).
tff(c_112509,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_112508]) ).
tff(c_112510,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_112509]) ).
tff(c_112514,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112510,c_132]) ).
tff(c_112559,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106947,c_112403,c_112514,c_22]) ).
tff(c_112482,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_96]) ).
tff(c_112483,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_106949,c_112482]) ).
tff(c_112484,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_112483]) ).
tff(c_112488,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_112484,c_134]) ).
tff(c_112410,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_111652]) ).
tff(c_112412,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112410,c_146]) ).
tff(c_112464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_112412,c_2]) ).
tff(c_112465,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_111652]) ).
tff(c_112467,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_112465]) ).
tff(c_112472,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112467,c_154]) ).
tff(c_111011,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_140]) ).
tff(c_112570,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_112488,c_112472,c_111011,c_26]) ).
tff(c_112676,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_112559,c_112496,c_112559,c_112570,c_112559,c_112496,c_112559,c_754]) ).
tff(c_112677,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_112509]) ).
tff(c_112740,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112677,c_112396,c_112496,c_68]) ).
tff(c_112741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111014,c_194,c_196,c_200,c_112740]) ).
tff(c_112742,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_112495]) ).
tff(c_112744,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_112742]) ).
tff(c_112747,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112744,c_148]) ).
tff(c_112766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_112747,c_2]) ).
tff(c_112767,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_112742]) ).
tff(c_112775,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112767,c_156]) ).
tff(c_112782,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_112484,c_92]) ).
tff(c_112783,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_112472,c_112782]) ).
tff(c_112810,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_112783,c_112484,c_88]) ).
tff(c_112811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_112775,c_112810]) ).
tff(c_112812,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_112483]) ).
tff(c_112824,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_112812,c_92]) ).
tff(c_112825,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_112404,c_204,c_112824]) ).
tff(c_112984,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_112825,c_112812,c_88]) ).
tff(c_112985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_109505,c_202,c_112984]) ).
tff(c_112986,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_112465]) ).
tff(c_113005,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112986,c_154]) ).
tff(c_112988,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_92]) ).
tff(c_112989,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_112404,c_112988]) ).
tff(c_112990,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_112989]) ).
tff(c_113039,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_112990,c_88]) ).
tff(c_113040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_109505,c_113005,c_113039]) ).
tff(c_113041,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_112989]) ).
tff(c_113080,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_113041,c_96]) ).
tff(c_113081,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_106949,c_204,c_113080]) ).
tff(c_113104,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111008,c_113081,c_113041,c_88]) ).
tff(c_113105,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_113104]) ).
tff(c_113109,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113105,c_180]) ).
tff(c_113116,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106947,c_112403,c_113109,c_22]) ).
tff(c_113042,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_112989]) ).
tff(c_113068,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106945,c_74]) ).
tff(c_113069,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_113042,c_112403,c_204,c_113068]) ).
tff(c_113058,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112986,c_150]) ).
tff(c_113091,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_112401,c_113058,c_18]) ).
tff(c_113092,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_113091]) ).
tff(c_113060,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112986,c_116]) ).
tff(c_113135,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_113060,c_111015,c_16]) ).
tff(c_113247,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113105,c_106931,c_113116,c_113069,c_106931,c_113092,c_113135,c_113081,c_656]) ).
tff(c_113248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_196,c_202,c_113247]) ).
tff(c_113249,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_113091]) ).
tff(c_113282,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113041,c_113249,c_112986,c_46]) ).
tff(c_113283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_106951,c_113282]) ).
tff(c_113284,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_111004]) ).
tff(c_114201,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_84]) ).
tff(c_114202,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_114201]) ).
tff(c_114203,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_114202]) ).
tff(c_113298,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_109504,c_109499]) ).
tff(c_113299,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_113298]) ).
tff(c_113306,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113299,c_168]) ).
tff(c_113768,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_96]) ).
tff(c_113769,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_106949,c_113768]) ).
tff(c_113770,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_113769]) ).
tff(c_113775,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113770,c_166]) ).
tff(c_113773,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113770,c_134]) ).
tff(c_113291,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_192]) ).
tff(c_113302,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113299,c_130]) ).
tff(c_113327,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106938,c_113291,c_113302,c_24]) ).
tff(c_113331,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113327,c_128]) ).
tff(c_113305,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113299,c_126]) ).
tff(c_113313,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_113305,c_22]) ).
tff(c_113314,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_113313]) ).
tff(c_113318,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113314,c_124]) ).
tff(c_113350,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_2]) ).
tff(c_113355,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113350,c_146]) ).
tff(c_113363,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_113355,c_10]) ).
tff(c_113364,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_113363]) ).
tff(c_113370,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113364,c_110]) ).
tff(c_113304,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113299,c_162]) ).
tff(c_113426,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_113370,c_109503,c_113304,c_12]) ).
tff(c_113337,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_84]) ).
tff(c_113338,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_113306,c_113337]) ).
tff(c_113339,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_113338]) ).
tff(c_113398,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_113339,c_92]) ).
tff(c_113399,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_113398]) ).
tff(c_113400,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_113399]) ).
tff(c_113404,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113400,c_166]) ).
tff(c_113413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113370,c_113404,c_109503,c_113304,c_12]) ).
tff(c_113414,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_113399]) ).
tff(c_113444,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_113327,c_106931,c_82]) ).
tff(c_113445,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_113444]) ).
tff(c_113481,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_113339,c_113414,c_96]) ).
tff(c_113482,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_113481]) ).
tff(c_113532,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113426,c_106958,c_113414,c_113445,c_113284,c_113327,c_113445,c_113482,c_456]) ).
tff(c_113533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_194,c_113532]) ).
tff(c_113534,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_113363]) ).
tff(c_113536,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_113534]) ).
tff(c_113539,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113536,c_150]) ).
tff(c_113303,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113299,c_122]) ).
tff(c_113552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113331,c_113318,c_113539,c_113303,c_18]) ).
tff(c_113553,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_113534]) ).
tff(c_113562,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113553,c_110]) ).
tff(c_113600,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_113562,c_109503,c_113304,c_12]) ).
tff(c_113332,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113327,c_186]) ).
tff(c_113292,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_190]) ).
tff(c_113632,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_113332,c_106937,c_113292,c_16]) ).
tff(c_113705,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_113600,c_113632,c_113600,c_106931,c_113632,c_113600,c_113600,c_728]) ).
tff(c_113706,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_113338]) ).
tff(c_113711,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113706,c_152]) ).
tff(c_113764,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_106945,c_106958,c_36]) ).
tff(c_113765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_113711,c_113764]) ).
tff(c_113766,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_113313]) ).
tff(c_113801,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113766,c_106945,c_74]) ).
tff(c_113802,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_113801]) ).
tff(c_113803,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_113802]) ).
tff(c_113806,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113803,c_136]) ).
tff(c_113288,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_140]) ).
tff(c_113814,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_2]) ).
tff(c_113820,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113814,c_152]) ).
tff(c_113904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113773,c_113806,c_113288,c_113820,c_26]) ).
tff(c_113905,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_113802]) ).
tff(c_113912,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113905,c_114]) ).
tff(c_113978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113775,c_113912,c_109503,c_113304,c_12]) ).
tff(c_113979,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_113769]) ).
tff(c_114002,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_113979,c_84]) ).
tff(c_114003,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_113306,c_200,c_114002]) ).
tff(c_114012,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114003,c_113766,c_106945,c_74]) ).
tff(c_114013,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_114012]) ).
tff(c_114019,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114013,c_114]) ).
tff(c_114074,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_114019,c_109503,c_113304,c_12]) ).
tff(c_114040,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106938,c_113291,c_113302,c_24]) ).
tff(c_114094,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_114040,c_106931,c_82]) ).
tff(c_114095,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_114094]) ).
tff(c_114174,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_114074,c_114095,c_114074,c_106931,c_114095,c_114074,c_114074,c_728]) ).
tff(c_114175,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_113298]) ).
tff(c_114182,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114175,c_126]) ).
tff(c_114189,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_114182,c_22]) ).
tff(c_114190,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_114189]) ).
tff(c_114531,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114203,c_114190,c_106945,c_74]) ).
tff(c_114532,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_114531]) ).
tff(c_114397,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114203,c_114190,c_106945,c_74]) ).
tff(c_114398,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_114397]) ).
tff(c_114180,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114175,c_122]) ).
tff(c_114344,plain,
( ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_114180,c_106936,c_42]) ).
tff(c_114345,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_114344]) ).
tff(c_114350,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114345,c_154]) ).
tff(c_114181,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114175,c_162]) ).
tff(c_114215,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_114181,c_109503,c_12]) ).
tff(c_114216,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_114215]) ).
tff(c_114219,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_114216,c_118]) ).
tff(c_114194,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114190,c_124]) ).
tff(c_114239,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_2]) ).
tff(c_114243,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114239,c_148]) ).
tff(c_114253,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_114180,c_114194,c_114243,c_18]) ).
tff(c_114257,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_114253,c_128]) ).
tff(c_114263,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_114257,c_106938,c_113291,c_24]) ).
tff(c_114267,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114263,c_186]) ).
tff(c_114274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114219,c_106937,c_113292,c_114267,c_16]) ).
tff(c_114275,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_114215]) ).
tff(c_114282,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114275,c_110]) ).
tff(c_114356,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_114350,c_114282,c_10]) ).
tff(c_114357,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_114356]) ).
tff(c_114363,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_114357,c_116]) ).
tff(c_114279,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114275,c_118]) ).
tff(c_114368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114363,c_106937,c_113292,c_114279,c_16]) ).
tff(c_114369,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_114356]) ).
tff(c_114421,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_2]) ).
tff(c_114432,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114345,c_114369,c_114421,c_46]) ).
tff(c_114433,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_114432]) ).
tff(c_114517,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114203,c_106931,c_114190,c_114398,c_106931,c_114433,c_106945,c_114345,c_654]) ).
tff(c_114518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_196,c_200,c_114517]) ).
tff(c_114519,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_114344]) ).
tff(c_114525,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114519,c_112]) ).
tff(c_114542,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_114532,c_114525]) ).
tff(c_114543,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_114202]) ).
tff(c_114545,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_114543]) ).
tff(c_114549,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114545,c_152]) ).
tff(c_114580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_114549,c_2]) ).
tff(c_114581,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_114543]) ).
tff(c_114582,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_114543]) ).
tff(c_114687,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_113288,c_114582,c_26]) ).
tff(c_114688,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_114687]) ).
tff(c_114696,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_114688,c_156]) ).
tff(c_114614,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_113291,c_24]) ).
tff(c_114615,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_114614]) ).
tff(c_114618,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_114615,c_128]) ).
tff(c_114583,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_2]) ).
tff(c_114587,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114583,c_148]) ).
tff(c_114675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114618,c_114180,c_114194,c_114587,c_18]) ).
tff(c_114676,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_114614]) ).
tff(c_114734,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114676,c_114190,c_114175,c_80]) ).
tff(c_114735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_114696,c_114734]) ).
tff(c_114736,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_114687]) ).
tff(c_114784,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_114581,c_114736,c_96]) ).
tff(c_114785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_106949,c_200,c_204,c_114784]) ).
tff(c_114786,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_114189]) ).
tff(c_114790,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114786,c_132]) ).
tff(c_114792,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114786,c_174]) ).
tff(c_114821,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106951,c_106936,c_109506,c_2]) ).
tff(c_114827,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114821,c_152]) ).
tff(c_113290,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_144]) ).
tff(c_114793,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114786,c_180]) ).
tff(c_114810,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_106949,c_113290,c_114793,c_30]) ).
tff(c_114848,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113284,c_114810,c_84]) ).
tff(c_114849,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_114827,c_114848]) ).
tff(c_114853,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114849,c_166]) ).
tff(c_114834,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114821,c_38]) ).
tff(c_114835,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_113288,c_194,c_114834]) ).
tff(c_114836,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_114835]) ).
tff(c_114840,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114836,c_150]) ).
tff(c_114826,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114821,c_146]) ).
tff(c_114868,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_114840,c_114826,c_10]) ).
tff(c_114869,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_114868]) ).
tff(c_114872,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_114869,c_154]) ).
tff(c_114814,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114810,c_136]) ).
tff(c_114910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114872,c_114814,c_113288,c_114827,c_26]) ).
tff(c_114911,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_114868]) ).
tff(c_114926,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114911,c_52]) ).
tff(c_114927,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_114792,c_114853,c_196,c_114926]) ).
tff(c_114937,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114927,c_114911,c_64]) ).
tff(c_114938,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_106948,c_204,c_114937]) ).
tff(c_115042,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_114938,c_114927,c_114938,c_106931,c_114938,c_114927,c_114938,c_728]) ).
tff(c_115044,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_114835]) ).
tff(c_114799,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_113291,c_24]) ).
tff(c_114800,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_114799]) ).
tff(c_115073,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114800,c_114786,c_114175,c_72]) ).
tff(c_115074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_115044,c_115073]) ).
tff(c_115075,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_114799]) ).
tff(c_115079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114790,c_115075]) ).
tff(c_115081,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_106957]) ).
tff(c_115092,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_115094,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_115092,c_118]) ).
tff(c_115095,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_115092,c_162]) ).
tff(c_115103,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_92]) ).
tff(c_115104,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_115103]) ).
tff(c_115127,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_115132,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115127,c_164]) ).
tff(c_115080,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_106957]) ).
tff(c_115086,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115080,c_152]) ).
tff(c_115115,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115104,c_88]) ).
tff(c_115116,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_115086,c_115115]) ).
tff(c_115117,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_115116]) ).
tff(c_115096,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_115092,c_166]) ).
tff(c_115139,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115117,c_115104,c_96]) ).
tff(c_115140,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_115096,c_115139]) ).
tff(c_115268,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115117,c_115104,c_115140,c_84]) ).
tff(c_115269,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_115132,c_200,c_115268]) ).
tff(c_115270,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_115116]) ).
tff(c_115291,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115104,c_115270,c_96]) ).
tff(c_115292,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_115291]) ).
tff(c_115293,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_115292]) ).
tff(c_115297,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_115293,c_192]) ).
tff(c_115098,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_115092,c_110]) ).
tff(c_115085,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115080,c_146]) ).
tff(c_115303,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115293,c_115104,c_115270,c_84]) ).
tff(c_115304,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_115303]) ).
tff(c_115308,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115304,c_154]) ).
tff(c_115339,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_115098,c_115085,c_115308,c_10]) ).
tff(c_115282,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_115353,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_16]) ).
tff(c_115354,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_115353]) ).
tff(c_115110,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115104,c_180]) ).
tff(c_115314,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_115110,c_22]) ).
tff(c_115315,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_115314]) ).
tff(c_115318,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115315,c_132]) ).
tff(c_115363,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_115297,c_106938,c_115318,c_24]) ).
tff(c_115476,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115339,c_115282,c_115270,c_115354,c_115304,c_115363,c_115315,c_115104,c_458]) ).
tff(c_115477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_200,c_198,c_115476]) ).
tff(c_115478,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_115353]) ).
tff(c_115483,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115478,c_186]) ).
tff(c_115286,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115282,c_160]) ).
tff(c_115084,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115080,c_148]) ).
tff(c_115309,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115304,c_156]) ).
tff(c_115326,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_115084,c_115309,c_18]) ).
tff(c_115327,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_115326]) ).
tff(c_115491,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115315,c_115327,c_68]) ).
tff(c_115492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115483,c_194,c_115286,c_200,c_115491]) ).
tff(c_115493,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_115326]) ).
tff(c_115498,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115493,c_150]) ).
tff(c_115505,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115098,c_115498,c_115085,c_115308,c_10]) ).
tff(c_115506,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_115314]) ).
tff(c_115521,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115506,c_132]) ).
tff(c_115530,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_115297,c_106938,c_115521,c_24]) ).
tff(c_115536,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115530,c_186]) ).
tff(c_115545,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_115536,c_16]) ).
tff(c_115662,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115092,c_115545,c_115092,c_106931,c_115545,c_115092,c_115092,c_728]) ).
tff(c_115664,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_115292]) ).
tff(c_115109,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115104,c_178]) ).
tff(c_115271,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_115116]) ).
tff(c_115701,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_106948,c_115109,c_14]) ).
tff(c_115702,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_115701]) ).
tff(c_115706,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115702,c_120]) ).
tff(c_115719,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_115706,c_16]) ).
tff(c_115723,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115719,c_190]) ).
tff(c_115730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115664,c_106939,c_115271,c_115723,c_32]) ).
tff(c_115731,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_115701]) ).
tff(c_115736,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115731,c_120]) ).
tff(c_115788,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_115736,c_16]) ).
tff(c_115663,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_115292]) ).
tff(c_115688,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_115098,c_115085,c_10]) ).
tff(c_115689,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_115688]) ).
tff(c_115758,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115663,c_115689,c_115080,c_34]) ).
tff(c_115759,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_115758]) ).
tff(c_115674,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_24]) ).
tff(c_115675,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_115674]) ).
tff(c_115276,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115270,c_168]) ).
tff(c_115773,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_115095,c_115276,c_115286,c_20]) ).
tff(c_115804,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115675,c_115773,c_115759,c_72]) ).
tff(c_115805,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_115804]) ).
tff(c_115897,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115104,c_106931,c_115270,c_115788,c_115080,c_115759,c_115805,c_115104,c_690]) ).
tff(c_115898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_194,c_198,c_115897]) ).
tff(c_115899,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_115688]) ).
tff(c_115904,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115899,c_112]) ).
tff(c_115911,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106948,c_115109,c_115904,c_14]) ).
tff(c_115916,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115911,c_120]) ).
tff(c_115905,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115899,c_116]) ).
tff(c_115951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_115916,c_115905,c_16]) ).
tff(c_115952,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_115674]) ).
tff(c_115954,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_115952]) ).
tff(c_115960,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115954,c_186]) ).
tff(c_115994,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_115960,c_16]) ).
tff(c_115998,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115994,c_120]) ).
tff(c_115669,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_115663,c_156]) ).
tff(c_115966,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_115098,c_115085,c_10]) ).
tff(c_115967,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_115966]) ).
tff(c_115970,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115967,c_150]) ).
tff(c_115958,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115954,c_128]) ).
tff(c_115979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115669,c_115970,c_115084,c_115958,c_18]) ).
tff(c_115980,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_115966]) ).
tff(c_115985,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115980,c_112]) ).
tff(c_116016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106948,c_115109,c_115998,c_115985,c_14]) ).
tff(c_116017,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_115952]) ).
tff(c_116024,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116017,c_186]) ).
tff(c_116045,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_116024,c_16]) ).
tff(c_116056,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116017,c_116045,c_106931,c_94]) ).
tff(c_116057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115664,c_202,c_200,c_204,c_116056]) ).
tff(c_116059,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_115103]) ).
tff(c_116058,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_115103]) ).
tff(c_116062,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_116058]) ).
tff(c_116067,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116062,c_154]) ).
tff(c_116064,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116062,c_134]) ).
tff(c_116073,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_22]) ).
tff(c_116074,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_116073]) ).
tff(c_116080,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116074,c_126]) ).
tff(c_116068,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116062,c_156]) ).
tff(c_116075,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_116068,c_115084,c_18]) ).
tff(c_116076,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_116075]) ).
tff(c_116096,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116074,c_116076,c_72]) ).
tff(c_116097,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_116096]) ).
tff(c_116098,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_116097]) ).
tff(c_116101,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116098,c_130]) ).
tff(c_116125,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_115095,c_116080,c_116101,c_20]) ).
tff(c_116129,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116125,c_160]) ).
tff(c_116167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_116129,c_4]) ).
tff(c_116168,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_116097]) ).
tff(c_116231,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_116248,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116168,c_115092,c_116231,c_58]) ).
tff(c_116249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116064,c_198,c_204,c_196,c_116248]) ).
tff(c_116250,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_116075]) ).
tff(c_116268,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116250,c_150]) ).
tff(c_116319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115098,c_116067,c_115085,c_116268,c_10]) ).
tff(c_116320,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_116073]) ).
tff(c_116322,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_116320]) ).
tff(c_116325,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116322,c_132]) ).
tff(c_116334,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_116325,c_24]) ).
tff(c_116335,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_116334]) ).
tff(c_116326,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116322,c_124]) ).
tff(c_116336,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_116068,c_115084,c_116326,c_18]) ).
tff(c_116340,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_116336,c_128]) ).
tff(c_116357,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116335,c_116340]) ).
tff(c_116358,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_116334]) ).
tff(c_116364,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116358,c_186]) ).
tff(c_116329,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116322,c_180]) ).
tff(c_116374,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116062,c_84]) ).
tff(c_116375,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_116329,c_196,c_116374]) ).
tff(c_116376,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_116375]) ).
tff(c_116365,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116358,c_192]) ).
tff(c_116371,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116062,c_88]) ).
tff(c_116372,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_116365,c_198,c_116371]) ).
tff(c_116373,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_116372]) ).
tff(c_116429,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116376,c_116373,c_116062,c_96]) ).
tff(c_116430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_115096,c_204,c_116429]) ).
tff(c_116431,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_116375]) ).
tff(c_116448,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116431,c_164]) ).
tff(c_116453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_116448,c_4]) ).
tff(c_116454,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_116372]) ).
tff(c_116485,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116454,c_116062,c_84]) ).
tff(c_116486,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_116329,c_194,c_196,c_116485]) ).
tff(c_116490,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116486,c_190]) ).
tff(c_116523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_116364,c_116490,c_16]) ).
tff(c_116524,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_116320]) ).
tff(c_116532,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116524,c_180]) ).
tff(c_116627,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_115098,c_116067,c_115085,c_10]) ).
tff(c_116617,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_116528,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116524,c_132]) ).
tff(c_116538,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_116528,c_24]) ).
tff(c_116539,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_116538]) ).
tff(c_116542,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_116539,c_128]) ).
tff(c_116550,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_115098,c_116067,c_115085,c_10]) ).
tff(c_116589,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116062,c_116550,c_115080,c_46]) ).
tff(c_116590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_116542,c_200,c_202,c_116589]) ).
tff(c_116591,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_116538]) ).
tff(c_116598,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116591,c_192]) ).
tff(c_116604,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116062,c_84]) ).
tff(c_116605,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_116598,c_196,c_116604]) ).
tff(c_116606,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_116605]) ).
tff(c_116649,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116606,c_116062,c_88]) ).
tff(c_116650,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_116649]) ).
tff(c_116651,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_116650]) ).
tff(c_116655,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116651,c_190]) ).
tff(c_116597,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116591,c_186]) ).
tff(c_116676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_116655,c_116597,c_16]) ).
tff(c_116677,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_116650]) ).
tff(c_116735,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_116597,c_16]) ).
tff(c_116595,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116591,c_128]) ).
tff(c_116638,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_116068,c_115084,c_116595,c_18]) ).
tff(c_116813,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116627,c_116617,c_116677,c_116735,c_116062,c_116591,c_116638,c_116606,c_458]) ).
tff(c_116814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_204,c_204,c_116813]) ).
tff(c_116816,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_116605]) ).
tff(c_116862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106949,c_116059,c_116532,c_116816,c_30]) ).
tff(c_116863,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_116058]) ).
tff(c_116869,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116863,c_168]) ).
tff(c_116875,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_32]) ).
tff(c_116876,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_116875]) ).
tff(c_116878,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_116876,c_140]) ).
tff(c_116864,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_116058]) ).
tff(c_116921,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_116878,c_116864,c_115086,c_26]) ).
tff(c_116926,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116921,c_154]) ).
tff(c_116959,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_115098,c_115085,c_116926,c_10]) ).
tff(c_116951,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_116931,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116876,c_116863,c_116921,c_88]) ).
tff(c_116932,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_116931]) ).
tff(c_116936,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116932,c_178]) ).
tff(c_116998,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115092,c_116959,c_56]) ).
tff(c_116999,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_116936,c_202,c_198,c_116998]) ).
tff(c_116880,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_116876,c_192]) ).
tff(c_116886,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_115095,c_116869,c_20]) ).
tff(c_116887,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_116886]) ).
tff(c_116890,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116887,c_130]) ).
tff(c_116969,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_116880,c_106938,c_116890,c_24]) ).
tff(c_117076,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116959,c_116951,c_116863,c_116999,c_116921,c_116969,c_115080,c_116921,c_454]) ).
tff(c_117077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_200,c_194,c_117076]) ).
tff(c_117078,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_116886]) ).
tff(c_117084,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117078,c_160]) ).
tff(c_117128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_117084,c_4]) ).
tff(c_117129,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_116875]) ).
tff(c_117219,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_117129]) ).
tff(c_117222,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117219,c_140]) ).
tff(c_117131,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_115084,c_18]) ).
tff(c_117132,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_117131]) ).
tff(c_117138,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_117132,c_156]) ).
tff(c_117143,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_117129]) ).
tff(c_117146,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117143,c_140]) ).
tff(c_117156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117138,c_116864,c_115086,c_117146,c_26]) ).
tff(c_117157,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_117129]) ).
tff(c_117164,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117157,c_190]) ).
tff(c_117184,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_117164,c_16]) ).
tff(c_117188,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117184,c_116]) ).
tff(c_117195,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_115098,c_115085,c_117188,c_10]) ).
tff(c_117205,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117132,c_117195,c_115080,c_34]) ).
tff(c_117206,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_117205]) ).
tff(c_117215,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117157,c_116863,c_117206,c_96]) ).
tff(c_117216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_106949,c_204,c_200,c_117215]) ).
tff(c_117217,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_117131]) ).
tff(c_117230,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_117217]) ).
tff(c_117438,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117230,c_122]) ).
tff(c_117231,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_115095,c_116869,c_20]) ).
tff(c_117232,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_117231]) ).
tff(c_117248,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117232,c_126]) ).
tff(c_117237,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117230,c_124]) ).
tff(c_117254,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_106947,c_117248,c_117237,c_22]) ).
tff(c_117267,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117254,c_117232,c_117230,c_80]) ).
tff(c_117268,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_117267]) ).
tff(c_117283,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117219,c_116863,c_96]) ).
tff(c_117284,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_106949,c_204,c_117283]) ).
tff(c_117294,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117284,c_117230,c_115080,c_42]) ).
tff(c_117295,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_117294]) ).
tff(c_117305,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117219,c_116863,c_117284,c_88]) ).
tff(c_117306,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_117305]) ).
tff(c_117429,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117268,c_106945,c_106945,c_117295,c_117219,c_117268,c_117232,c_117306,c_490]) ).
tff(c_117430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_198,c_117429]) ).
tff(c_117431,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_117231]) ).
tff(c_117456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117438,c_117431]) ).
tff(c_117457,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_117217]) ).
tff(c_117534,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117457,c_115080,c_34]) ).
tff(c_117535,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_117222,c_196,c_194,c_117534]) ).
tff(c_117554,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_117511,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117219,c_116863,c_88]) ).
tff(c_117512,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_115086,c_117511]) ).
tff(c_117517,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117512,c_178]) ).
tff(c_117587,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115092,c_117535,c_56]) ).
tff(c_117588,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_117517,c_202,c_194,c_117587]) ).
tff(c_117224,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117219,c_192]) ).
tff(c_117522,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_117224,c_24]) ).
tff(c_117523,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_117522]) ).
tff(c_117483,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117219,c_116863,c_88]) ).
tff(c_117484,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_115086,c_117483]) ).
tff(c_117463,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117457,c_124]) ).
tff(c_117471,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_117463,c_22]) ).
tff(c_117472,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_117471]) ).
tff(c_117478,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117472,c_180]) ).
tff(c_117495,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117484,c_117478]) ).
tff(c_117496,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_117471]) ).
tff(c_117501,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117496,c_126]) ).
tff(c_117565,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_115095,c_116869,c_117501,c_20]) ).
tff(c_117682,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117535,c_117554,c_116863,c_117588,c_117219,c_117523,c_117565,c_117512,c_458]) ).
tff(c_117683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_198,c_117682]) ).
tff(c_117684,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_117522]) ).
tff(c_117688,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117684,c_130]) ).
tff(c_117707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115095,c_116869,c_117688,c_117501,c_20]) ).
tff(c_117708,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_117129]) ).
tff(c_117730,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117708,c_190]) ).
tff(c_117822,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_115094,c_106937,c_117730,c_16]) ).
tff(c_117934,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115092,c_117822,c_115092,c_106931,c_117822,c_115092,c_115092,c_728]) ).
tff(c_117935,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_117937,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_117935]) ).
tff(c_117939,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117937,c_158]) ).
tff(c_117987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_117939,c_4]) ).
tff(c_117988,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_117935]) ).
tff(c_117990,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_117988]) ).
tff(c_117997,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117990,c_114]) ).
tff(c_117995,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117990,c_162]) ).
tff(c_117998,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117990,c_110]) ).
tff(c_119271,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_115086,c_88]) ).
tff(c_119272,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_119271]) ).
tff(c_119278,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119272,c_190]) ).
tff(c_119296,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_119278,c_16]) ).
tff(c_119297,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_119296]) ).
tff(c_119302,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_119297,c_186]) ).
tff(c_119277,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119272,c_192]) ).
tff(c_118003,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_22]) ).
tff(c_118004,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_118003]) ).
tff(c_118010,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118004,c_180]) ).
tff(c_118015,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106949,c_96]) ).
tff(c_118016,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_118015]) ).
tff(c_118022,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118016,c_190]) ).
tff(c_118402,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_118406,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118402,c_164]) ).
tff(c_118007,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118004,c_124]) ).
tff(c_118087,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118016,c_84]) ).
tff(c_118088,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_118087]) ).
tff(c_118089,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_118088]) ).
tff(c_118018,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118016,c_140]) ).
tff(c_118092,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118089,c_136]) ).
tff(c_118118,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_118018,c_115086,c_118092,c_26]) ).
tff(c_118021,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118016,c_192]) ).
tff(c_118050,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_118022,c_106937,c_16]) ).
tff(c_118051,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_118050]) ).
tff(c_118055,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118051,c_186]) ).
tff(c_118060,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_118021,c_106938,c_118055,c_24]) ).
tff(c_118039,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_117995,c_20]) ).
tff(c_118040,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_118039]) ).
tff(c_118072,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118060,c_118004,c_118040,c_72]) ).
tff(c_118073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_115084,c_118072]) ).
tff(c_118074,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_118050]) ).
tff(c_118027,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_117998,c_115085,c_10]) ).
tff(c_118028,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_118027]) ).
tff(c_118134,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118118,c_118028,c_115080,c_34]) ).
tff(c_118135,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_118134]) ).
tff(c_118019,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118016,c_142]) ).
tff(c_117996,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117990,c_166]) ).
tff(c_118093,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118089,c_138]) ).
tff(c_118161,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_118019,c_117996,c_118093,c_28]) ).
tff(c_118251,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118089,c_106931,c_118118,c_118074,c_115080,c_118135,c_117990,c_118161,c_688]) ).
tff(c_118252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_194,c_198,c_118251]) ).
tff(c_118253,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_118088]) ).
tff(c_118255,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_118253]) ).
tff(c_118280,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118255,c_118028,c_115080,c_42]) ).
tff(c_118281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_118007,c_204,c_198,c_118280]) ).
tff(c_118282,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_118253]) ).
tff(c_118288,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118282,c_164]) ).
tff(c_118329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_118288,c_4]) ).
tff(c_118330,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_118039]) ).
tff(c_118332,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_118330]) ).
tff(c_118337,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118332,c_160]) ).
tff(c_118357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_118337,c_4]) ).
tff(c_118358,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_118330]) ).
tff(c_118377,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118358,c_168]) ).
tff(c_118360,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118016,c_92]) ).
tff(c_118361,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_118010,c_117996,c_118360]) ).
tff(c_118392,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118016,c_118361,c_88]) ).
tff(c_118393,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_118377,c_198,c_118392]) ).
tff(c_118413,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118016,c_118393,c_118361,c_84]) ).
tff(c_118414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_118406,c_196,c_118413]) ).
tff(c_118415,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_118027]) ).
tff(c_118422,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118415,c_116]) ).
tff(c_118515,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_118022,c_106937,c_118422,c_16]) ).
tff(c_118546,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118515,c_117990,c_118415,c_64]) ).
tff(c_118547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_106948,c_204,c_200,c_118546]) ).
tff(c_118548,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_118015]) ).
tff(c_118550,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_118548]) ).
tff(c_118555,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118550,c_154]) ).
tff(c_118556,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118550,c_156]) ).
tff(c_118677,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_118556,c_118007,c_115084,c_18]) ).
tff(c_118682,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118677,c_150]) ).
tff(c_118690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118555,c_117998,c_115085,c_118682,c_10]) ).
tff(c_118692,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_118548]) ).
tff(c_118715,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_118007,c_115084,c_18]) ).
tff(c_118716,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_118715]) ).
tff(c_118720,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118716,c_150]) ).
tff(c_118760,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_118720,c_117998,c_115085,c_10]) ).
tff(c_118751,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_118549,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_118015]) ).
tff(c_118703,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_118549,c_106939,c_32]) ).
tff(c_118704,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_118703]) ).
tff(c_118710,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118704,c_190]) ).
tff(c_118719,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118716,c_128]) ).
tff(c_118709,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118704,c_192]) ).
tff(c_118727,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_118719,c_106938,c_118709,c_24]) ).
tff(c_118732,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118727,c_186]) ).
tff(c_118784,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_118710,c_118732,c_16]) ).
tff(c_118708,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118704,c_144]) ).
tff(c_118741,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106949,c_118010,c_118708,c_30]) ).
tff(c_118691,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_118548]) ).
tff(c_118773,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118704,c_118741,c_118691,c_92]) ).
tff(c_118774,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_118773]) ).
tff(c_118896,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118760,c_118751,c_118704,c_118784,c_118774,c_118727,c_118716,c_118741,c_458]) ).
tff(c_118897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_204,c_204,c_118896]) ).
tff(c_118898,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_118715]) ).
tff(c_118916,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118898,c_156]) ).
tff(c_118949,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_118692,c_115086,c_118916,c_26]) ).
tff(c_118990,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118949,c_118898,c_115080,c_46]) ).
tff(c_118991,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_118990]) ).
tff(c_118975,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_119007,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118691,c_117990,c_118975,c_54]) ).
tff(c_119008,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_119007]) ).
tff(c_118921,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106949,c_118010,c_118708,c_30]) ).
tff(c_118926,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118921,c_178]) ).
tff(c_118964,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106948,c_117997,c_118926,c_14]) ).
tff(c_119080,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118991,c_118975,c_119008,c_118964,c_115080,c_118898,c_118898,c_118921,c_402]) ).
tff(c_119081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_196,c_119080]) ).
tff(c_119082,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_118703]) ).
tff(c_119087,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119082,c_144]) ).
tff(c_119156,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106949,c_118010,c_119087,c_30]) ).
tff(c_119166,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119156,c_118004,c_106945,c_66]) ).
tff(c_119167,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_119166]) ).
tff(c_119256,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117990,c_119167,c_117990,c_106945,c_119167,c_117990,c_117990,c_740]) ).
tff(c_119257,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_118003]) ).
tff(c_119259,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_119257]) ).
tff(c_119262,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119259,c_132]) ).
tff(c_119317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119302,c_106938,c_119277,c_119262,c_24]) ).
tff(c_119318,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_119296]) ).
tff(c_119322,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119318,c_116]) ).
tff(c_119390,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_117998,c_115085,c_119322,c_10]) ).
tff(c_119344,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_119332,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106938,c_119277,c_119262,c_24]) ).
tff(c_119337,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_119332,c_130]) ).
tff(c_119264,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119259,c_126]) ).
tff(c_119354,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_119337,c_117995,c_119264,c_20]) ).
tff(c_119265,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119259,c_174]) ).
tff(c_119457,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106948,c_117997,c_119265,c_14]) ).
tff(c_119336,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_119332,c_128]) ).
tff(c_119263,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119259,c_124]) ).
tff(c_119425,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_119336,c_115084,c_119263,c_18]) ).
tff(c_119283,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119272,c_92]) ).
tff(c_119284,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_117996,c_119283]) ).
tff(c_119285,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_119284]) ).
tff(c_119289,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119285,c_136]) ).
tff(c_119364,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_119289,c_115086,c_26]) ).
tff(c_119365,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_119364]) ).
tff(c_119369,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_119365,c_154]) ).
tff(c_119375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119369,c_117998,c_115085,c_119322,c_10]) ).
tff(c_119376,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_119364]) ).
tff(c_119515,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119390,c_119344,c_119354,c_119457,c_106945,c_119425,c_115080,c_119376,c_398]) ).
tff(c_119516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_200,c_194,c_119515]) ).
tff(c_119517,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_119284]) ).
tff(c_119523,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119517,c_156]) ).
tff(c_119528,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_119523,c_115084,c_119263,c_18]) ).
tff(c_119532,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_119528,c_128]) ).
tff(c_119570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119532,c_106938,c_119277,c_119262,c_24]) ).
tff(c_119571,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_119271]) ).
tff(c_119585,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_119571]) ).
tff(c_119590,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119585,c_168]) ).
tff(c_119573,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_119262,c_24]) ).
tff(c_119574,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_119573]) ).
tff(c_119655,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119574,c_119259,c_72]) ).
tff(c_119656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_119590,c_115084,c_119655]) ).
tff(c_119657,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_119571]) ).
tff(c_119758,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119657,c_119259,c_106945,c_74]) ).
tff(c_119759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_117997,c_204,c_119758]) ).
tff(c_119760,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_119573]) ).
tff(c_119765,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119760,c_130]) ).
tff(c_120310,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_117995,c_119765,c_119264,c_20]) ).
tff(c_120315,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120310,c_168]) ).
tff(c_119572,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_119271]) ).
tff(c_120203,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_119572,c_32]) ).
tff(c_120204,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_120203]) ).
tff(c_120209,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120204,c_190]) ).
tff(c_119766,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119760,c_186]) ).
tff(c_119784,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_117998,c_115085,c_10]) ).
tff(c_119785,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_119784]) ).
tff(c_119881,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_119861,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_117995,c_119765,c_119264,c_20]) ).
tff(c_119925,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106948,c_117997,c_119265,c_14]) ).
tff(c_119788,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_119785,c_150]) ).
tff(c_119871,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_119788,c_115084,c_119263,c_18]) ).
tff(c_119789,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_119785,c_154]) ).
tff(c_119796,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_119789,c_115086,c_26]) ).
tff(c_119797,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_119796]) ).
tff(c_119802,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_119797,c_156]) ).
tff(c_119819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119788,c_119802,c_115084,c_119263,c_18]) ).
tff(c_119820,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_119796]) ).
tff(c_119989,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119785,c_119881,c_119861,c_119925,c_106945,c_119871,c_115080,c_119820,c_398]) ).
tff(c_119990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_194,c_119989]) ).
tff(c_119991,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_119784]) ).
tff(c_120083,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_120004,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_117995,c_119765,c_119264,c_20]) ).
tff(c_120115,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106948,c_117997,c_119265,c_14]) ).
tff(c_120008,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120004,c_122]) ).
tff(c_120091,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_120008,c_115084,c_119263,c_18]) ).
tff(c_120014,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_119572,c_32]) ).
tff(c_120015,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_120014]) ).
tff(c_120020,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120015,c_190]) ).
tff(c_119998,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119991,c_116]) ).
tff(c_120027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120020,c_106937,c_119766,c_119998,c_16]) ).
tff(c_120028,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_120014]) ).
tff(c_119773,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_119571]) ).
tff(c_120040,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120028,c_119773,c_96]) ).
tff(c_120041,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_106949,c_202,c_120040]) ).
tff(c_120189,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119991,c_120083,c_120004,c_120115,c_106945,c_120091,c_106931,c_120041,c_398]) ).
tff(c_120190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_196,c_120189]) ).
tff(c_120191,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_119571]) ).
tff(c_120226,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115080,c_34]) ).
tff(c_120227,plain,
( ( op(e2,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_119263,c_194,c_120226]) ).
tff(c_120228,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_120227]) ).
tff(c_120240,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120204,c_120191,c_120228,c_92]) ).
tff(c_120241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_117996,c_196,c_120240]) ).
tff(c_120242,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_120227]) ).
tff(c_120249,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_120242,c_116]) ).
tff(c_120258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120209,c_106937,c_119766,c_120249,c_16]) ).
tff(c_120259,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_120203]) ).
tff(c_120281,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120259,c_120191,c_92]) ).
tff(c_120282,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_117996,c_120281]) ).
tff(c_120345,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120259,c_120191,c_120282,c_96]) ).
tff(c_120346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_120315,c_204,c_120345]) ).
tff(c_120347,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_119257]) ).
tff(c_120354,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120347,c_174]) ).
tff(c_120729,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106948,c_117997,c_120354,c_14]) ).
tff(c_120785,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117990,c_120729,c_117990,c_106945,c_120729,c_117990,c_117990,c_740]) ).
tff(c_120786,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_117988]) ).
tff(c_120791,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120786,c_118]) ).
tff(c_121681,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_121322,c_106937,c_120791,c_16]) ).
tff(c_121685,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121681,c_116]) ).
tff(c_121321,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121316,c_192]) ).
tff(c_120801,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106947,c_22]) ).
tff(c_120802,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_120801]) ).
tff(c_120807,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_120802,c_174]) ).
tff(c_120806,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_120802,c_126]) ).
tff(c_120792,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120786,c_162]) ).
tff(c_120813,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_120806,c_120792,c_20]) ).
tff(c_120814,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_120813]) ).
tff(c_120817,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120814,c_130]) ).
tff(c_120818,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120814,c_122]) ).
tff(c_120805,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_120802,c_124]) ).
tff(c_121002,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_120818,c_120805,c_115084,c_18]) ).
tff(c_121006,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121002,c_128]) ).
tff(c_121015,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_120817,c_106938,c_121006,c_24]) ).
tff(c_120820,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120814,c_168]) ).
tff(c_120793,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120786,c_166]) ).
tff(c_120834,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_120793,c_115086,c_88]) ).
tff(c_120835,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_120834]) ).
tff(c_120840,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120835,c_192]) ).
tff(c_120892,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_120817,c_106938,c_120840,c_24]) ).
tff(c_120901,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120892,c_120802,c_120814,c_72]) ).
tff(c_120902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_115084,c_120901]) ).
tff(c_120903,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_120834]) ).
tff(c_120915,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120903,c_96]) ).
tff(c_120916,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_120820,c_120915]) ).
tff(c_120917,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_120916]) ).
tff(c_120920,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120917,c_140]) ).
tff(c_120938,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_120818,c_120805,c_115084,c_18]) ).
tff(c_120943,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_120938,c_156]) ).
tff(c_120948,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_120920,c_115086,c_120943,c_26]) ).
tff(c_120952,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_120948,c_134]) ).
tff(c_120825,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_120976,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120814,c_120786,c_120825,c_58]) ).
tff(c_120977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120952,c_204,c_198,c_196,c_120976]) ).
tff(c_120978,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_120916]) ).
tff(c_120983,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120978,c_154]) ).
tff(c_120991,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_120983,c_115085,c_10]) ).
tff(c_120992,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_120991]) ).
tff(c_120829,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_120825,c_164]) ).
tff(c_121029,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120903,c_120978,c_84]) ).
tff(c_121030,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_120829,c_200,c_121029]) ).
tff(c_121040,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121030,c_120903,c_120978,c_92]) ).
tff(c_121041,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_121040]) ).
tff(c_121150,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121015,c_106945,c_106945,c_120992,c_121041,c_121015,c_120814,c_120903,c_490]) ).
tff(c_121151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_204,c_204,c_121150]) ).
tff(c_121152,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_120991]) ).
tff(c_121164,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120786,c_121152,c_60]) ).
tff(c_121165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106937,c_120807,c_198,c_196,c_121164]) ).
tff(c_121166,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_120813]) ).
tff(c_121172,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121166,c_160]) ).
tff(c_121298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_121172,c_4]) ).
tff(c_121299,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_120801]) ).
tff(c_121301,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_121299]) ).
tff(c_121304,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121301,c_132]) ).
tff(c_121327,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_121321,c_106938,c_121304,c_24]) ).
tff(c_121435,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_115085,c_10]) ).
tff(c_121436,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_121435]) ).
tff(c_121305,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121301,c_124]) ).
tff(c_121349,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121316,c_92]) ).
tff(c_121350,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_121349]) ).
tff(c_121351,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_121350]) ).
tff(c_121363,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121316,c_121351,c_84]) ).
tff(c_121364,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_121363]) ).
tff(c_121365,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_121364]) ).
tff(c_121385,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121316,c_121351,c_121365,c_88]) ).
tff(c_121386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_115086,c_121385]) ).
tff(c_121387,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_121364]) ).
tff(c_121431,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121316,c_121351,c_121387,c_88]) ).
tff(c_121432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_120793,c_194,c_121431]) ).
tff(c_121433,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_121350]) ).
tff(c_121446,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_121433]) ).
tff(c_121488,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121446,c_121436,c_115080,c_34]) ).
tff(c_121489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_121305,c_200,c_194,c_121488]) ).
tff(c_121490,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_121433]) ).
tff(c_121434,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_121350]) ).
tff(c_121509,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121301,c_106945,c_74]) ).
tff(c_121510,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_121434,c_196,c_204,c_121509]) ).
tff(c_488,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_121649,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121327,c_106945,c_106931,c_121436,c_121490,c_121327,c_121510,c_121490,c_488]) ).
tff(c_121650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_198,c_121649]) ).
tff(c_121651,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_121435]) ).
tff(c_121700,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_121685,c_121651]) ).
tff(c_121728,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121681,c_120786,c_121700,c_64]) ).
tff(c_121729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_106948,c_202,c_204,c_121728]) ).
tff(c_121731,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_121315]) ).
tff(c_122134,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_121304,c_24]) ).
tff(c_122135,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_122134]) ).
tff(c_121730,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_121315]) ).
tff(c_121732,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_121730]) ).
tff(c_121737,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121732,c_154]) ).
tff(c_121914,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_121737,c_115085,c_10]) ).
tff(c_121915,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_121914]) ).
tff(c_121936,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121732,c_121915,c_115080,c_34]) ).
tff(c_121937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_121305,c_196,c_194,c_121936]) ).
tff(c_121938,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_121914]) ).
tff(c_121893,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_121746,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_120791,c_16]) ).
tff(c_121747,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_121746]) ).
tff(c_121762,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121747,c_186]) ).
tff(c_121743,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121732,c_88]) ).
tff(c_121744,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_120793,c_202,c_121743]) ).
tff(c_121745,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_121744]) ).
tff(c_121752,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121745,c_192]) ).
tff(c_121767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121762,c_106938,c_121752,c_121304,c_24]) ).
tff(c_121768,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_121746]) ).
tff(c_121780,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_121737,c_115085,c_10]) ).
tff(c_121781,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_121780]) ).
tff(c_121785,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121781,c_112]) ).
tff(c_120794,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120786,c_114]) ).
tff(c_121307,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121301,c_174]) ).
tff(c_121837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106948,c_121785,c_120794,c_121307,c_14]) ).
tff(c_121838,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_121780]) ).
tff(c_121845,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121838,c_116]) ).
tff(c_121870,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121768,c_121845]) ).
tff(c_121872,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_121744]) ).
tff(c_121902,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_121731,c_106939,c_121872,c_32]) ).
tff(c_121907,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121902,c_190]) ).
tff(c_122021,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_120791,c_121907,c_16]) ).
tff(c_121871,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_121744]) ).
tff(c_121882,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121871,c_121732,c_92]) ).
tff(c_121883,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106939,c_198,c_204,c_121882]) ).
tff(c_121950,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_121304,c_24]) ).
tff(c_121951,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_121950]) ).
tff(c_121955,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121951,c_130]) ).
tff(c_121887,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121883,c_168]) ).
tff(c_121306,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121301,c_126]) ).
tff(c_121982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121955,c_121887,c_120792,c_121306,c_20]) ).
tff(c_121983,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_121950]) ).
tff(c_121738,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121732,c_156]) ).
tff(c_121997,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121983,c_121301,c_80]) ).
tff(c_121998,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_121738,c_121997]) ).
tff(c_122120,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121938,c_121893,c_121902,c_122021,c_121883,c_121983,c_121998,c_121871,c_458]) ).
tff(c_122121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_204,c_204,c_122120]) ).
tff(c_122122,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_121730]) ).
tff(c_122128,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122122,c_168]) ).
tff(c_122213,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_122128,c_120792,c_121306,c_20]) ).
tff(c_122289,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122135,c_121301,c_122213,c_72]) ).
tff(c_122290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_115084,c_122289]) ).
tff(c_122291,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_122134]) ).
tff(c_122298,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122291,c_192]) ).
tff(c_121308,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121301,c_180]) ).
tff(c_122304,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122122,c_84]) ).
tff(c_122305,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_121308,c_200,c_122304]) ).
tff(c_122306,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_122305]) ).
tff(c_122311,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122306,c_190]) ).
tff(c_122317,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_120791,c_122311,c_16]) ).
tff(c_122327,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_122128,c_120792,c_121306,c_20]) ).
tff(c_122331,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122327,c_122]) ).
tff(c_122395,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_122331,c_115084,c_121305,c_18]) ).
tff(c_576,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_122487,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122291,c_106945,c_122306,c_122317,c_122395,c_121301,c_122317,c_122122,c_576]) ).
tff(c_122488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_204,c_202,c_122487]) ).
tff(c_122490,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_122305]) ).
tff(c_122524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121731,c_106939,c_122298,c_122490,c_32]) ).
tff(c_122525,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_121299]) ).
tff(c_122529,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122525,c_132]) ).
tff(c_122539,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_120791,c_16]) ).
tff(c_122540,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_122539]) ).
tff(c_122543,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122540,c_116]) ).
tff(c_122796,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122525,c_106945,c_74]) ).
tff(c_122797,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_122796]) ).
tff(c_122798,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_122797]) ).
tff(c_122804,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122798,c_178]) ).
tff(c_122568,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_115086,c_26]) ).
tff(c_122569,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_122568]) ).
tff(c_122575,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122569,c_156]) ).
tff(c_122545,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122540,c_186]) ).
tff(c_122551,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_122529,c_24]) ).
tff(c_122552,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_122551]) ).
tff(c_122553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122545,c_122552]) ).
tff(c_122554,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_122551]) ).
tff(c_122559,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122554,c_128]) ).
tff(c_122580,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_122575,c_115084,c_122559,c_18]) ).
tff(c_122584,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122580,c_150]) ).
tff(c_122778,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_122543,c_122584,c_115085,c_10]) ).
tff(c_122782,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122778,c_112]) ).
tff(c_122813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106948,c_122804,c_120794,c_122782,c_14]) ).
tff(c_122815,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_122797]) ).
tff(c_122533,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122525,c_180]) ).
tff(c_122561,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122554,c_192]) ).
tff(c_122592,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122569,c_84]) ).
tff(c_122593,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_122561,c_200,c_122592]) ).
tff(c_122594,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_122593]) ).
tff(c_122624,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122594,c_122525,c_106945,c_74]) ).
tff(c_122625,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_122624]) ).
tff(c_122658,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122540,c_122625,c_120786,c_52]) ).
tff(c_122659,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_122658]) ).
tff(c_122606,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122554,c_122540,c_106931,c_86]) ).
tff(c_122607,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_122606]) ).
tff(c_122636,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122607,c_122594,c_122569,c_92]) ).
tff(c_122637,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_122636]) ).
tff(c_122585,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122580,c_122]) ).
tff(c_122560,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122554,c_130]) ).
tff(c_122647,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_122585,c_120792,c_122560,c_20]) ).
tff(c_122689,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122637,c_122647,c_120786,c_50]) ).
tff(c_122690,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_122689]) ).
tff(c_122756,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122659,c_122690,c_122525,c_122625,c_122540,c_122647,c_122637,c_122607,c_412]) ).
tff(c_122757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_204,c_122756]) ).
tff(c_122759,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_122593]) ).
tff(c_122832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106949,c_122815,c_122533,c_122759,c_30]) ).
tff(c_122833,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_122568]) ).
tff(c_122835,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_122833]) ).
tff(c_122841,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122835,c_154]) ).
tff(c_122912,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_122543,c_115085,c_122841,c_10]) ).
tff(c_122891,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_122546,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122540,c_190]) ).
tff(c_122849,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122835,c_96]) ).
tff(c_122850,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_122546,c_106949,c_200,c_122849]) ).
tff(c_122855,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122850,c_168]) ).
tff(c_122861,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_122855,c_120792,c_122560,c_20]) ).
tff(c_122865,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122861,c_122]) ).
tff(c_122873,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_122865,c_115084,c_122559,c_18]) ).
tff(c_122901,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122525,c_106945,c_74]) ).
tff(c_122902,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_122901]) ).
tff(c_122903,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_122902]) ).
tff(c_122907,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122903,c_178]) ).
tff(c_122949,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106948,c_122907,c_120794,c_14]) ).
tff(c_123023,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122912,c_122891,c_122873,c_122949,c_106931,c_122873,c_122540,c_122850,c_400]) ).
tff(c_123024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_202,c_123023]) ).
tff(c_123026,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_122902]) ).
tff(c_122882,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_122546,c_106939,c_122561,c_32]) ).
tff(c_123035,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122882,c_122850,c_122835,c_92]) ).
tff(c_123036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_123026,c_204,c_196,c_123035]) ).
tff(c_123037,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_122833]) ).
tff(c_123044,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123037,c_154]) ).
tff(c_123159,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_122543,c_123044,c_115085,c_10]) ).
tff(c_123190,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123037,c_88]) ).
tff(c_123191,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_122533,c_120793,c_198,c_123190]) ).
tff(c_123201,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123191,c_123037,c_96]) ).
tff(c_123202,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_106949,c_204,c_123201]) ).
tff(c_123042,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123037,c_136]) ).
tff(c_123053,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_120792,c_122560,c_20]) ).
tff(c_123054,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_123053]) ).
tff(c_123059,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123054,c_168]) ).
tff(c_123091,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123037,c_88]) ).
tff(c_123092,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_122533,c_120793,c_198,c_123091]) ).
tff(c_123102,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123092,c_123037,c_84]) ).
tff(c_123103,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_123102]) ).
tff(c_123104,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_123103]) ).
tff(c_123119,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123092,c_123104,c_123037,c_96]) ).
tff(c_123120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_123059,c_204,c_123119]) ).
tff(c_123122,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_123103]) ).
tff(c_123140,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106949,c_123042,c_122533,c_123122,c_30]) ).
tff(c_123141,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_123053]) ).
tff(c_123229,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123202,c_123141,c_120786,c_50]) ).
tff(c_123230,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_123229]) ).
tff(c_123169,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122554,c_122525,c_123141,c_80]) ).
tff(c_123170,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_123169]) ).
tff(c_123213,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106949,c_123042,c_122533,c_30]) ).
tff(c_123310,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123159,c_123230,c_123191,c_122540,c_123037,c_122554,c_123170,c_123213,c_458]) ).
tff(c_123311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_204,c_204,c_123310]) ).
tff(c_123312,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_122539]) ).
tff(c_123318,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123312,c_186]) ).
tff(c_123365,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106938,c_122529,c_123318,c_24]) ).
tff(c_123369,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123365,c_128]) ).
tff(c_123387,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_115086,c_26]) ).
tff(c_123388,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_123387]) ).
tff(c_123392,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123388,c_154]) ).
tff(c_123316,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123312,c_116]) ).
tff(c_123430,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_123392,c_115085,c_123316,c_10]) ).
tff(c_123434,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123430,c_112]) ).
tff(c_123317,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123312,c_120]) ).
tff(c_123464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106948,c_123434,c_120794,c_123317,c_14]) ).
tff(c_123465,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_123387]) ).
tff(c_123477,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_123465]) ).
tff(c_123492,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123477,c_115080,c_42]) ).
tff(c_123493,plain,
( ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_123492]) ).
tff(c_123494,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_123493]) ).
tff(c_123370,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123365,c_130]) ).
tff(c_123467,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106950,c_106935,c_115081,c_4]) ).
tff(c_123471,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123467,c_160]) ).
tff(c_123495,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_123370,c_120792,c_123471,c_20]) ).
tff(c_123499,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123495,c_122]) ).
tff(c_123514,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123494,c_123499]) ).
tff(c_123516,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_123493]) ).
tff(c_123483,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123477,c_156]) ).
tff(c_123535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123369,c_123516,c_115084,c_123483,c_18]) ).
tff(c_123536,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_123465]) ).
tff(c_123542,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123536,c_154]) ).
tff(c_123605,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_123542,c_115085,c_123316,c_10]) ).
tff(c_123472,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123467,c_164]) ).
tff(c_123319,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123312,c_190]) ).
tff(c_123325,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_32]) ).
tff(c_123326,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_123325]) ).
tff(c_123331,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123326,c_192]) ).
tff(c_123362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123331,c_106938,c_122529,c_123318,c_24]) ).
tff(c_123363,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_123325]) ).
tff(c_123376,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_123319,c_123363]) ).
tff(c_123575,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123376,c_123536,c_84]) ).
tff(c_123576,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_123472,c_196,c_123575]) ).
tff(c_123614,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123576,c_122525,c_106945,c_74]) ).
tff(c_123615,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_123614]) ).
tff(c_123565,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123536,c_115080,c_34]) ).
tff(c_123566,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_123316,c_194,c_123565]) ).
tff(c_123703,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123605,c_123467,c_122525,c_123615,c_115080,c_123566,c_106945,c_123536,c_398]) ).
tff(c_123704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_200,c_123703]) ).
tff(c_123705,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_106944]) ).
tff(c_123707,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_123705]) ).
tff(c_123712,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123707,c_176]) ).
tff(c_134943,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_48]) ).
tff(c_134944,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_134943]) ).
tff(c_134945,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_134944]) ).
tff(c_134951,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134945,c_98]) ).
tff(c_123714,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123707,c_100]) ).
tff(c_134960,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106936,c_123714,c_2]) ).
tff(c_134961,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_134960]) ).
tff(c_134962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134951,c_134961]) ).
tff(c_134963,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_134960]) ).
tff(c_123731,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_48]) ).
tff(c_123732,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_123731]) ).
tff(c_123733,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_123732]) ).
tff(c_123739,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123733,c_98]) ).
tff(c_123710,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123707,c_172]) ).
tff(c_123719,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_123710,c_22]) ).
tff(c_123720,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_123719]) ).
tff(c_123722,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_132]) ).
tff(c_126141,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_123733,c_40]) ).
tff(c_126142,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_126141]) ).
tff(c_123738,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123733,c_164]) ).
tff(c_126007,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_123707,c_74]) ).
tff(c_126008,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_126007]) ).
tff(c_126009,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_126008]) ).
tff(c_126012,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126009,c_138]) ).
tff(c_125703,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_123739,c_106936,c_123714,c_2]) ).
tff(c_123726,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_180]) ).
tff(c_124255,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_123739,c_106936,c_123714,c_2]) ).
tff(c_123744,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_123749,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123744,c_154]) ).
tff(c_123723,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_124]) ).
tff(c_124259,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124255,c_148]) ).
tff(c_123724,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_126]) ).
tff(c_123755,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_123724,c_20]) ).
tff(c_123756,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_123755]) ).
tff(c_124213,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_123756,c_72]) ).
tff(c_124214,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_124213]) ).
tff(c_124215,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_124214]) ).
tff(c_123876,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123756,c_168]) ).
tff(c_123736,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123733,c_158]) ).
tff(c_123762,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123756,c_162]) ).
tff(c_123747,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123744,c_140]) ).
tff(c_123757,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_123747,c_106939,c_32]) ).
tff(c_123758,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_123757]) ).
tff(c_123763,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123756,c_168]) ).
tff(c_123780,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123758,c_123744,c_92]) ).
tff(c_123781,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_123763,c_204,c_123780]) ).
tff(c_123819,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123758,c_123781,c_123744,c_84]) ).
tff(c_123820,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_123819]) ).
tff(c_123824,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123820,c_166]) ).
tff(c_123840,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_123736,c_123762,c_123824,c_12]) ).
tff(c_123844,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123840,c_114]) ).
tff(c_123868,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123781,c_123720,c_123707,c_70]) ).
tff(c_123869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_123844,c_194,c_123868]) ).
tff(c_123870,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_123757]) ).
tff(c_123979,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123870,c_123744,c_92]) ).
tff(c_123980,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_123876,c_204,c_123979]) ).
tff(c_123887,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123870,c_190]) ).
tff(c_123955,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_123887,c_16]) ).
tff(c_123956,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_123955]) ).
tff(c_123989,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_123756,c_72]) ).
tff(c_123990,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_123989]) ).
tff(c_123991,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_123990]) ).
tff(c_124149,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123980,c_106931,c_123870,c_123956,c_123991,c_123720,c_123720,c_123980,c_706]) ).
tff(c_124150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_198,c_204,c_124149]) ).
tff(c_124152,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_123990]) ).
tff(c_123886,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123870,c_192]) ).
tff(c_124190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_124152,c_123886,c_24]) ).
tff(c_124191,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_123955]) ).
tff(c_124208,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124191,c_186]) ).
tff(c_124225,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124215,c_124208]) ).
tff(c_124226,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_124214]) ).
tff(c_124230,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124226,c_148]) ).
tff(c_124240,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_123733,c_40]) ).
tff(c_124241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_124230,c_124240]) ).
tff(c_124242,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_123755]) ).
tff(c_124244,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_124242]) ).
tff(c_124248,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124244,c_122]) ).
tff(c_124267,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_123723,c_124259,c_124248,c_18]) ).
tff(c_124272,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124267,c_150]) ).
tff(c_124260,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124255,c_146]) ).
tff(c_124277,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_123749,c_124272,c_124260,c_10]) ).
tff(c_124332,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124244,c_123733,c_54]) ).
tff(c_124333,plain,
( ( op(e2,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_124332]) ).
tff(c_124334,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_124333]) ).
tff(c_124338,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124334,c_166]) ).
tff(c_124249,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124244,c_162]) ).
tff(c_124349,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_123736,c_124338,c_124249,c_12]) ).
tff(c_124472,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123733,c_124255,c_124255,c_124277,c_124277,c_124244,c_124349,c_124334,c_216]) ).
tff(c_124473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_194,c_198,c_124472]) ).
tff(c_124475,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_124333]) ).
tff(c_124250,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124244,c_168]) ).
tff(c_124554,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_123738,c_124475,c_124250,c_28]) ).
tff(c_124616,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124255,c_123733,c_124255,c_124554,c_123733,c_124255,c_124255,c_744]) ).
tff(c_124617,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_124242]) ).
tff(c_124621,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124617,c_130]) ).
tff(c_124852,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_124621,c_24]) ).
tff(c_124668,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_123747,c_106939,c_32]) ).
tff(c_124669,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_124668]) ).
tff(c_124673,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124669,c_144]) ).
tff(c_124679,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_123726,c_123712,c_30]) ).
tff(c_124680,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_124679]) ).
tff(c_123725,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_174]) ).
tff(c_124630,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_123725,c_123736,c_123749,c_64]) ).
tff(c_124623,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124617,c_162]) ).
tff(c_124645,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_123736,c_124623,c_12]) ).
tff(c_124646,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_124645]) ).
tff(c_124709,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_124621,c_24]) ).
tff(c_124713,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124709,c_128]) ).
tff(c_124658,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_123739,c_106936,c_123714,c_2]) ).
tff(c_124728,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123744,c_124658,c_34]) ).
tff(c_124729,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_124713,c_194,c_124728]) ).
tff(c_124690,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124617,c_124646,c_123733,c_50]) ).
tff(c_124691,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_124690]) ).
tff(c_124836,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124680,c_106931,c_124669,c_124630,c_124646,c_124617,c_124729,c_124691,c_696]) ).
tff(c_124837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_198,c_194,c_124836]) ).
tff(c_124838,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_124679]) ).
tff(c_124840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124673,c_124838]) ).
tff(c_124841,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_124668]) ).
tff(c_124847,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124841,c_192]) ).
tff(c_124862,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124852,c_124847]) ).
tff(c_124863,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_124645]) ).
tff(c_124867,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124863,c_166]) ).
tff(c_124885,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_123747,c_106939,c_32]) ).
tff(c_124886,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_124885]) ).
tff(c_124946,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124886,c_123744,c_84]) ).
tff(c_124947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_123712,c_124867,c_200,c_124946]) ).
tff(c_124948,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_124885]) ).
tff(c_125041,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124948,c_124630,c_106931,c_86]) ).
tff(c_125042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_124621,c_202,c_198,c_125041]) ).
tff(c_125043,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_125045,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_125043]) ).
tff(c_125589,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125045,c_96]) ).
tff(c_125590,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_123726,c_123738,c_200,c_125589]) ).
tff(c_125603,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_123707,c_74]) ).
tff(c_125604,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_125603]) ).
tff(c_125605,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_125604]) ).
tff(c_125618,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125590,c_125605,c_125045,c_88]) ).
tff(c_125619,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_125618]) ).
tff(c_125623,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125619,c_168]) ).
tff(c_125194,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_72]) ).
tff(c_125195,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_125194]) ).
tff(c_125196,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_125195]) ).
tff(c_125057,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_123736,c_12]) ).
tff(c_125058,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_125057]) ).
tff(c_125063,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125058,c_114]) ).
tff(c_125069,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125058,c_64]) ).
tff(c_125070,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_123725,c_204,c_125069]) ).
tff(c_125071,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_125070]) ).
tff(c_125076,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125071,c_190]) ).
tff(c_125083,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125045,c_96]) ).
tff(c_125084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125076,c_123726,c_123738,c_200,c_125083]) ).
tff(c_125086,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_125070]) ).
tff(c_125099,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_125086,c_106937,c_16]) ).
tff(c_125100,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_125099]) ).
tff(c_125103,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125100,c_120]) ).
tff(c_123711,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123707,c_170]) ).
tff(c_125191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123725,c_125063,c_125103,c_123711,c_14]) ).
tff(c_125192,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_125099]) ).
tff(c_125387,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_125196,c_123720,c_125192,c_123720,c_125196,c_123720,c_722]) ).
tff(c_125388,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_125195]) ).
tff(c_125411,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_125388]) ).
tff(c_125414,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125411,c_148]) ).
tff(c_125421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123739,c_106936,c_125414,c_123714,c_2]) ).
tff(c_125422,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_125388]) ).
tff(c_125428,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125422,c_168]) ).
tff(c_125400,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125045,c_96]) ).
tff(c_125401,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_123726,c_123738,c_200,c_125400]) ).
tff(c_125062,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125058,c_166]) ).
tff(c_125433,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125401,c_125045,c_92]) ).
tff(c_125434,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_125062,c_196,c_125433]) ).
tff(c_125474,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125401,c_125434,c_125045,c_88]) ).
tff(c_125475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_125428,c_194,c_125474]) ).
tff(c_125476,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_125057]) ).
tff(c_125478,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_125476]) ).
tff(c_125482,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125478,c_162]) ).
tff(c_125667,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_123724,c_125623,c_125482,c_20]) ).
tff(c_125671,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125667,c_122]) ).
tff(c_125481,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125478,c_118]) ).
tff(c_125492,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_125481,c_16]) ).
tff(c_125493,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_125492]) ).
tff(c_125499,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125493,c_190]) ).
tff(c_125049,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125045,c_140]) ).
tff(c_125504,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_125049,c_32]) ).
tff(c_125505,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_125504]) ).
tff(c_125506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125499,c_125505]) ).
tff(c_125507,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_125504]) ).
tff(c_125512,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125507,c_142]) ).
tff(c_125047,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125045,c_134]) ).
tff(c_125538,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_123738,c_125512,c_125047,c_28]) ).
tff(c_125542,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125538,c_138]) ).
tff(c_125496,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125493,c_116]) ).
tff(c_125051,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125045,c_154]) ).
tff(c_125525,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_125496,c_125051,c_10]) ).
tff(c_125526,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_125525]) ).
tff(c_125531,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125526,c_112]) ).
tff(c_125548,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_123707,c_74]) ).
tff(c_125549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125542,c_204,c_125531,c_196,c_125548]) ).
tff(c_125550,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_125525]) ).
tff(c_125554,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125550,c_146]) ).
tff(c_125562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123739,c_106936,c_125554,c_123714,c_2]) ).
tff(c_125563,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_125492]) ).
tff(c_125576,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125563,c_125478,c_64]) ).
tff(c_125577,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_123725,c_200,c_125576]) ).
tff(c_125632,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_123739,c_106936,c_123714,c_2]) ).
tff(c_125682,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125045,c_125577,c_125632,c_42]) ).
tff(c_125683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_125671,c_204,c_198,c_125682]) ).
tff(c_125685,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_125604]) ).
tff(c_125694,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_123726,c_125685,c_123712,c_30]) ).
tff(c_125740,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125590,c_125694,c_125045,c_92]) ).
tff(c_125741,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_125740]) ).
tff(c_125839,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125703,c_123733,c_125703,c_125741,c_125703,c_123733,c_125703,c_744]) ).
tff(c_125840,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_125476]) ).
tff(c_125846,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125840,c_166]) ).
tff(c_126054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123738,c_126012,c_125846,c_125047,c_28]) ).
tff(c_126056,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_126008]) ).
tff(c_125844,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125840,c_118]) ).
tff(c_125854,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_16]) ).
tff(c_125855,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_125854]) ).
tff(c_125857,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125855,c_116]) ).
tff(c_125896,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125045,c_46]) ).
tff(c_125897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_123723,c_125857,c_123739,c_125896]) ).
tff(c_125898,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_125854]) ).
tff(c_125900,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_125844,c_125898]) ).
tff(c_125912,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125900,c_106931,c_94]) ).
tff(c_125913,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_123722,c_200,c_204,c_125912]) ).
tff(c_126066,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_125913,c_125045,c_92]) ).
tff(c_126067,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_126056,c_196,c_126066]) ).
tff(c_126201,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126142,c_123733,c_126142,c_126067,c_126142,c_123733,c_126142,c_744]) ).
tff(c_126202,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_125043]) ).
tff(c_126204,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_126202]) ).
tff(c_126208,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126204,c_136]) ).
tff(c_126262,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_72]) ).
tff(c_126263,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_126262]) ).
tff(c_126264,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_126263]) ).
tff(c_126219,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_16]) ).
tff(c_126220,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_126219]) ).
tff(c_126226,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126220,c_190]) ).
tff(c_126231,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126204,c_96]) ).
tff(c_126232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126226,c_123726,c_123738,c_204,c_126231]) ).
tff(c_126233,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_126219]) ).
tff(c_126235,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_126233]) ).
tff(c_126442,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_126264,c_123720,c_126235,c_126264,c_123720,c_123720,c_722]) ).
tff(c_126444,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_126263]) ).
tff(c_126241,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126235,c_186]) ).
tff(c_126544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_126444,c_126241,c_24]) ).
tff(c_126545,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_126233]) ).
tff(c_126550,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126545,c_118]) ).
tff(c_126559,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_123736,c_126550,c_12]) ).
tff(c_126560,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_126559]) ).
tff(c_126567,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126560,c_114]) ).
tff(c_126637,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_123707,c_74]) ).
tff(c_126638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126208,c_204,c_126567,c_196,c_126637]) ).
tff(c_126639,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_126559]) ).
tff(c_126645,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126639,c_166]) ).
tff(c_126554,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126545,c_190]) ).
tff(c_126678,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_126554,c_32]) ).
tff(c_126679,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_126678]) ).
tff(c_126695,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126679,c_126204,c_84]) ).
tff(c_126696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_123712,c_126645,c_196,c_126695]) ).
tff(c_126697,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_126678]) ).
tff(c_126734,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126697,c_126545,c_106931,c_94]) ).
tff(c_126735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_123722,c_202,c_204,c_126734]) ).
tff(c_126736,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_126202]) ).
tff(c_126743,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126736,c_152]) ).
tff(c_126827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123739,c_106936,c_126743,c_123714,c_2]) ).
tff(c_126828,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_123732]) ).
tff(c_126833,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126828,c_146]) ).
tff(c_126842,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_126833,c_10]) ).
tff(c_126843,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_126842]) ).
tff(c_126845,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126843,c_150]) ).
tff(c_126866,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_123723,c_126845,c_18]) ).
tff(c_126867,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_126866]) ).
tff(c_126870,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126867,c_128]) ).
tff(c_127150,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_126870,c_24]) ).
tff(c_127155,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127150,c_186]) ).
tff(c_126847,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126843,c_112]) ).
tff(c_126879,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126843,c_64]) ).
tff(c_126880,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_123725,c_204,c_126879]) ).
tff(c_126881,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_126880]) ).
tff(c_126886,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126881,c_190]) ).
tff(c_126931,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_126870,c_24]) ).
tff(c_126936,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126931,c_192]) ).
tff(c_126999,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_126886,c_106939,c_126936,c_32]) ).
tff(c_126834,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126828,c_152]) ).
tff(c_126846,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126843,c_154]) ).
tff(c_126872,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126867,c_156]) ).
tff(c_126943,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_126834,c_126846,c_126872,c_26]) ).
tff(c_126854,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_126846,c_92]) ).
tff(c_126855,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_126854]) ).
tff(c_127097,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126867,c_123707,c_126999,c_126881,c_126943,c_126931,c_123720,c_126855,c_586]) ).
tff(c_127098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_200,c_204,c_127097]) ).
tff(c_127100,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_126880]) ).
tff(c_127111,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_127100,c_106937,c_16]) ).
tff(c_127112,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_127111]) ).
tff(c_127115,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127112,c_120]) ).
tff(c_127147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123725,c_126847,c_127115,c_123711,c_14]) ).
tff(c_127148,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_127111]) ).
tff(c_127161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127155,c_127148]) ).
tff(c_127162,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_126866]) ).
tff(c_127166,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127162,c_128]) ).
tff(c_127240,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_127166,c_24]) ).
tff(c_720,plain,
( ( op(op(e3,op(e3,e3)),op(e3,e3)) != e2 )
| ( op(e3,op(e3,e3)) != e1 )
| ( op(e3,e3) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_610]) ).
tff(c_127362,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126828,c_106931,c_126828,c_127240,c_106931,c_126828,c_126828,c_720]) ).
tff(c_127363,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_126854]) ).
tff(c_127451,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127363,c_168]) ).
tff(c_126835,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126828,c_98]) ).
tff(c_123713,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123707,c_102]) ).
tff(c_127457,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_126835,c_106935,c_123713,c_4]) ).
tff(c_127462,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127457,c_160]) ).
tff(c_127365,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_123723,c_126845,c_18]) ).
tff(c_127366,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_127365]) ).
tff(c_127369,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127366,c_128]) ).
tff(c_127380,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127363,c_168]) ).
tff(c_127370,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127366,c_122]) ).
tff(c_127386,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_123724,c_127380,c_127370,c_20]) ).
tff(c_127390,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127386,c_130]) ).
tff(c_127422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_127369,c_127390,c_24]) ).
tff(c_127423,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_127365]) ).
tff(c_127441,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127423,c_122]) ).
tff(c_127487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123724,c_127451,c_127462,c_127441,c_20]) ).
tff(c_127488,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_126842]) ).
tff(c_127490,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_127488]) ).
tff(c_127493,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127490,c_150]) ).
tff(c_127502,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_123723,c_127493,c_18]) ).
tff(c_127503,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_127502]) ).
tff(c_127507,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127503,c_122]) ).
tff(c_127525,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_126828,c_40]) ).
tff(c_127526,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_127525]) ).
tff(c_127531,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127526,c_160]) ).
tff(c_127551,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_24]) ).
tff(c_127552,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_127551]) ).
tff(c_127703,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126828,c_106931,c_126828,c_127552,c_106931,c_126828,c_126828,c_720]) ).
tff(c_127704,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_127551]) ).
tff(c_127721,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127704,c_130]) ).
tff(c_127741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123724,c_127507,c_127531,c_127721,c_20]) ).
tff(c_127742,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_127502]) ).
tff(c_127747,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127742,c_128]) ).
tff(c_127497,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127490,c_110]) ).
tff(c_127754,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127490,c_64]) ).
tff(c_127755,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_123725,c_200,c_127754]) ).
tff(c_127756,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_127755]) ).
tff(c_127762,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127756,c_190]) ).
tff(c_127779,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_127747,c_24]) ).
tff(c_127784,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127779,c_192]) ).
tff(c_127793,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_127762,c_106939,c_127784,c_32]) ).
tff(c_127814,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127793,c_96]) ).
tff(c_127815,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_123726,c_126834,c_127814]) ).
tff(c_127748,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127742,c_122]) ).
tff(c_127783,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127779,c_130]) ).
tff(c_127804,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_123724,c_127748,c_127783,c_20]) ).
tff(c_127767,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_126828,c_40]) ).
tff(c_127768,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_127767]) ).
tff(c_127829,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127815,c_127804,c_127768,c_50]) ).
tff(c_127830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_127497,c_194,c_127829]) ).
tff(c_127831,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_127755]) ).
tff(c_127843,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_126828,c_40]) ).
tff(c_127844,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_127843]) ).
tff(c_127837,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127831,c_166]) ).
tff(c_127879,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_123724,c_127748,c_20]) ).
tff(c_127880,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_127879]) ).
tff(c_127895,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_127880,c_168]) ).
tff(c_127849,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127844,c_164]) ).
tff(c_127925,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_127837,c_127895,c_127849,c_28]) ).
tff(c_127832,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_127755]) ).
tff(c_127496,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127490,c_116]) ).
tff(c_127854,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_127832,c_106937,c_127496,c_16]) ).
tff(c_127749,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127742,c_156]) ).
tff(c_127494,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127490,c_154]) ).
tff(c_127914,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_126834,c_127749,c_127494,c_26]) ).
tff(c_127902,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_127747,c_24]) ).
tff(c_128027,plain,
( ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127831,c_127844,c_127925,c_127854,c_127914,c_127902,c_127490,c_127925,c_456]) ).
tff(c_128028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_194,c_128027]) ).
tff(c_128029,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_127879]) ).
tff(c_128033,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128029,c_130]) ).
tff(c_128100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_127747,c_128033,c_24]) ).
tff(c_128101,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_127488]) ).
tff(c_128108,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128101,c_116]) ).
tff(c_128740,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_94]) ).
tff(c_128741,plain,
( ( op(e2,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_123722,c_204,c_128740]) ).
tff(c_128742,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_128741]) ).
tff(c_128786,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128742,c_106931,c_86]) ).
tff(c_128787,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_128108,c_198,c_128786]) ).
tff(c_128902,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126828,c_106931,c_126828,c_128787,c_106931,c_126828,c_126828,c_720]) ).
tff(c_128904,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_128741]) ).
tff(c_128115,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_123724,c_20]) ).
tff(c_128116,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_128115]) ).
tff(c_128119,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128116,c_122]) ).
tff(c_128105,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128101,c_150]) ).
tff(c_128201,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_123722,c_106938,c_24]) ).
tff(c_128202,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_128201]) ).
tff(c_128371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126828,c_106931,c_126828,c_128202,c_106931,c_126828,c_126828,c_720]) ).
tff(c_128372,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_128201]) ).
tff(c_128376,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128372,c_128]) ).
tff(c_128430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123723,c_128119,c_128105,c_128376,c_18]) ).
tff(c_128431,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_128115]) ).
tff(c_128433,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_128431]) ).
tff(c_128439,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128433,c_162]) ).
tff(c_128440,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128433,c_168]) ).
tff(c_128106,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128101,c_154]) ).
tff(c_128445,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_126834,c_128106,c_26]) ).
tff(c_128446,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_128445]) ).
tff(c_128457,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128446,c_84]) ).
tff(c_128458,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123712,c_128440,c_196,c_128457]) ).
tff(c_128470,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128458,c_106931,c_94]) ).
tff(c_128471,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_123722,c_204,c_128470]) ).
tff(c_128450,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128446,c_136]) ).
tff(c_128494,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_123707,c_74]) ).
tff(c_128495,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_128450,c_204,c_196,c_128494]) ).
tff(c_128556,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128471,c_128495,c_128101,c_52]) ).
tff(c_128557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_128439,c_194,c_128556]) ).
tff(c_128558,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_128445]) ).
tff(c_128573,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128558,c_92]) ).
tff(c_128574,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_196,c_128573]) ).
tff(c_128575,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_128574]) ).
tff(c_128578,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128575,c_138]) ).
tff(c_128564,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128558,c_140]) ).
tff(c_128610,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123720,c_128433,c_72]) ).
tff(c_128611,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_128105,c_128610]) ).
tff(c_128585,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_128108,c_16]) ).
tff(c_128586,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_128585]) ).
tff(c_128634,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128611,c_128586,c_106931,c_82]) ).
tff(c_128635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128564,c_194,c_200,c_196,c_128634]) ).
tff(c_128636,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_128585]) ).
tff(c_128713,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128636,c_128101,c_64]) ).
tff(c_128714,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_123725,c_202,c_128713]) ).
tff(c_128673,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_126828,c_40]) ).
tff(c_128674,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_128673]) ).
tff(c_128727,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128433,c_128714,c_128674,c_58]) ).
tff(c_128728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128578,c_196,c_204,c_198,c_128727]) ).
tff(c_128729,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_128574]) ).
tff(c_128957,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128729,c_128558,c_96]) ).
tff(c_128958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128904,c_123726,c_204,c_200,c_128957]) ).
tff(c_128959,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_128431]) ).
tff(c_128965,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128959,c_160]) ).
tff(c_128995,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_126828,c_40]) ).
tff(c_128996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_128965,c_202,c_128995]) ).
tff(c_128997,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_123719]) ).
tff(c_128999,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_128997]) ).
tff(c_130055,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_92]) ).
tff(c_130056,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_130055]) ).
tff(c_130322,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130056,c_96]) ).
tff(c_130323,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_130322]) ).
tff(c_130324,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_130323]) ).
tff(c_130328,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130324,c_192]) ).
tff(c_129002,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_132]) ).
tff(c_129003,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_124]) ).
tff(c_129011,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_129003,c_18]) ).
tff(c_129012,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_129011]) ).
tff(c_129014,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129012,c_148]) ).
tff(c_129023,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_48]) ).
tff(c_129024,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_129014,c_129023]) ).
tff(c_129029,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129024,c_164]) ).
tff(c_129016,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129012,c_150]) ).
tff(c_129027,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129024,c_158]) ).
tff(c_129510,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_129027,c_12]) ).
tff(c_129511,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_129510]) ).
tff(c_129517,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129511,c_110]) ).
tff(c_129015,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129012,c_128]) ).
tff(c_129047,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_129024,c_40]) ).
tff(c_129048,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_129047]) ).
tff(c_129018,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129012,c_156]) ).
tff(c_129035,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_129018,c_26]) ).
tff(c_129036,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_129035]) ).
tff(c_129315,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129036,c_129012,c_129048,c_34]) ).
tff(c_129316,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_129315]) ).
tff(c_129006,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_180]) ).
tff(c_129256,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129036,c_88]) ).
tff(c_129257,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_129006,c_198,c_129256]) ).
tff(c_129258,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_129257]) ).
tff(c_129263,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129258,c_190]) ).
tff(c_129282,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_129263,c_16]) ).
tff(c_129283,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_129282]) ).
tff(c_129344,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129258,c_129283,c_106931,c_82]) ).
tff(c_129345,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_129344]) ).
tff(c_129287,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129283,c_120]) ).
tff(c_129005,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_174]) ).
tff(c_129305,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_129287,c_129005,c_123711,c_14]) ).
tff(c_129361,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_129305,c_123707,c_78]) ).
tff(c_129362,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_129361]) ).
tff(c_129446,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129012,c_123707,c_129048,c_129316,c_129036,c_129345,c_129345,c_129362,c_490]) ).
tff(c_129447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_204,c_196,c_129446]) ).
tff(c_129448,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_129282]) ).
tff(c_129454,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129448,c_186]) ).
tff(c_129460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129015,c_106938,c_129002,c_129454,c_24]) ).
tff(c_129461,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_129257]) ).
tff(c_129042,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129036,c_154]) ).
tff(c_129052,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129048,c_146]) ).
tff(c_129059,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_129027,c_12]) ).
tff(c_129060,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_129059]) ).
tff(c_129141,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129060,c_64]) ).
tff(c_129142,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_129016,c_129141]) ).
tff(c_129143,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_129142]) ).
tff(c_129146,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129143,c_120]) ).
tff(c_129065,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129060,c_114]) ).
tff(c_129166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129146,c_129065,c_129005,c_123711,c_14]) ).
tff(c_129167,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_129142]) ).
tff(c_129174,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129167,c_178]) ).
tff(c_129075,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129036,c_88]) ).
tff(c_129076,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_129006,c_198,c_129075]) ).
tff(c_129077,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_129076]) ).
tff(c_129087,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129077,c_129036,c_96]) ).
tff(c_129088,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_129029,c_204,c_129087]) ).
tff(c_129093,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129088,c_178]) ).
tff(c_129129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129093,c_129065,c_129005,c_123711,c_14]) ).
tff(c_129131,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_129076]) ).
tff(c_129200,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_129131,c_32]) ).
tff(c_129201,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_129200]) ).
tff(c_129130,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_129076]) ).
tff(c_129212,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129201,c_129130,c_129036,c_84]) ).
tff(c_129213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_123712,c_194,c_196,c_129212]) ).
tff(c_129214,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_129200]) ).
tff(c_129225,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129214,c_129130,c_129036,c_96]) ).
tff(c_129226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_129174,c_202,c_204,c_129225]) ).
tff(c_129227,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_129059]) ).
tff(c_129229,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_129227]) ).
tff(c_129236,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129229,c_110]) ).
tff(c_129253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129016,c_129042,c_129052,c_129236,c_10]) ).
tff(c_129254,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_129227]) ).
tff(c_129468,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129254,c_166]) ).
tff(c_129495,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_129461,c_129468]) ).
tff(c_129496,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_129035]) ).
tff(c_129498,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_129496]) ).
tff(c_129505,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129498,c_154]) ).
tff(c_129543,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_129016,c_129517,c_129505,c_10]) ).
tff(c_129547,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129543,c_146]) ).
tff(c_129557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129014,c_106936,c_129547,c_123714,c_2]) ).
tff(c_129558,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_129510]) ).
tff(c_129571,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_129558]) ).
tff(c_129574,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129571,c_118]) ).
tff(c_129582,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_129574,c_16]) ).
tff(c_129583,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_129582]) ).
tff(c_129589,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129583,c_120]) ).
tff(c_129596,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_129589,c_129005,c_123711,c_14]) ).
tff(c_129601,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129596,c_178]) ).
tff(c_129017,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129012,c_122]) ).
tff(c_129004,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_126]) ).
tff(c_129560,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_129017,c_129004,c_20]) ).
tff(c_129561,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_129560]) ).
tff(c_129566,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129561,c_168]) ).
tff(c_129606,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129498,c_92]) ).
tff(c_129607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106939,c_129601,c_129566,c_196,c_129606]) ).
tff(c_129608,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_129582]) ).
tff(c_129613,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129608,c_116]) ).
tff(c_129695,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_129016,c_129613,c_129505,c_10]) ).
tff(c_129777,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_129571,c_129695,c_129571,c_129012,c_129695,c_129571,c_129571,c_760]) ).
tff(c_129778,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_129558]) ).
tff(c_129783,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129778,c_166]) ).
tff(c_129797,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129498,c_92]) ).
tff(c_129798,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_106939,c_129566,c_196,c_129797]) ).
tff(c_129808,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129798,c_129498,c_88]) ).
tff(c_129809,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_129783,c_194,c_129808]) ).
tff(c_129856,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129809,c_129798,c_129498,c_96]) ).
tff(c_129857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_129029,c_200,c_129856]) ).
tff(c_129858,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_129560]) ).
tff(c_129978,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_129858,c_129012,c_76]) ).
tff(c_129979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106938,c_198,c_196,c_204,c_129978]) ).
tff(c_129980,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_129496]) ).
tff(c_129987,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129980,c_152]) ).
tff(c_130027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129014,c_106936,c_129987,c_123714,c_2]) ).
tff(c_130028,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_129011]) ).
tff(c_130030,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_130028]) ).
tff(c_130034,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130030,c_128]) ).
tff(c_130391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130328,c_106938,c_129002,c_130034,c_24]) ).
tff(c_130393,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_130323]) ).
tff(c_130392,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_130323]) ).
tff(c_130443,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_130392]) ).
tff(c_130448,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130443,c_152]) ).
tff(c_130042,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_40]) ).
tff(c_130043,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_130042]) ).
tff(c_130044,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_130043]) ).
tff(c_130535,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_130044,c_48]) ).
tff(c_130536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_130448,c_130535]) ).
tff(c_130538,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_130392]) ).
tff(c_130059,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130056,c_136]) ).
tff(c_130037,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130030,c_156]) ).
tff(c_130577,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_130538,c_130059,c_130037,c_26]) ).
tff(c_130581,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130577,c_140]) ).
tff(c_130588,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_82]) ).
tff(c_130589,plain,
( ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130034,c_196,c_130588]) ).
tff(c_130590,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_130589]) ).
tff(c_130035,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130030,c_150]) ).
tff(c_130067,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130035,c_10]) ).
tff(c_130068,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_130067]) ).
tff(c_130070,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130068,c_146]) ).
tff(c_130117,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_130044,c_48]) ).
tff(c_130118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_130070,c_130117]) ).
tff(c_130119,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_130067]) ).
tff(c_130121,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_130119]) ).
tff(c_130127,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130121,c_116]) ).
tff(c_130269,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_130127,c_16]) ).
tff(c_130270,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_130269]) ).
tff(c_130274,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130270,c_120]) ).
tff(c_130285,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130056,c_128999,c_123707,c_78]) ).
tff(c_130286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_130274,c_200,c_130285]) ).
tff(c_130287,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_130269]) ).
tff(c_130295,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130287,c_190]) ).
tff(c_130133,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130056,c_96]) ).
tff(c_130134,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_130133]) ).
tff(c_130135,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_130134]) ).
tff(c_130137,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130135,c_140]) ).
tff(c_130125,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130121,c_154]) ).
tff(c_130205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130137,c_130059,c_130125,c_130037,c_26]) ).
tff(c_130206,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_130134]) ).
tff(c_130208,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_130206]) ).
tff(c_130214,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130208,c_152]) ).
tff(c_130246,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_130044,c_48]) ).
tff(c_130247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_130214,c_130246]) ).
tff(c_130248,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_130206]) ).
tff(c_130306,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130056,c_130248,c_84]) ).
tff(c_130307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130295,c_196,c_200,c_130037,c_130306]) ).
tff(c_130308,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_130119]) ).
tff(c_130696,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130590,c_130577,c_130590,c_130308,c_130590,c_130577,c_130590,c_762]) ).
tff(c_130698,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_130589]) ).
tff(c_130716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130393,c_106939,c_130581,c_130698,c_32]) ).
tff(c_130718,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_130055]) ).
tff(c_130050,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130044,c_98]) ).
tff(c_131282,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_106936,c_130050,c_123714,c_2]) ).
tff(c_131286,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131282,c_146]) ).
tff(c_130036,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130030,c_122]) ).
tff(c_130815,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_129004,c_130036,c_20]) ).
tff(c_130816,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_130815]) ).
tff(c_130828,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_130816,c_130030,c_76]) ).
tff(c_130829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106938,c_198,c_204,c_196,c_130828]) ).
tff(c_130830,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_130815]) ).
tff(c_130717,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_130055]) ).
tff(c_130719,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_130717]) ).
tff(c_130725,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130719,c_154]) ).
tff(c_130049,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130044,c_164]) ).
tff(c_130758,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_82]) ).
tff(c_130759,plain,
( ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130034,c_196,c_130758]) ).
tff(c_130760,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_130759]) ).
tff(c_130770,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130760,c_130719,c_88]) ).
tff(c_130771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_129006,c_130049,c_198,c_130770]) ).
tff(c_130772,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_130759]) ).
tff(c_130742,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_129005,c_123711,c_14]) ).
tff(c_130743,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_130742]) ).
tff(c_130803,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130772,c_130743,c_60]) ).
tff(c_130804,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_130725,c_130803]) ).
tff(c_130808,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130804,c_162]) ).
tff(c_130842,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130830,c_130808]) ).
tff(c_130843,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_130742]) ).
tff(c_130861,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130843,c_114]) ).
tff(c_130047,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130044,c_158]) ).
tff(c_130914,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_130718,c_129006,c_123712,c_30]) ).
tff(c_130918,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130914,c_138]) ).
tff(c_130721,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_130719,c_134]) ).
tff(c_130732,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_130044,c_48]) ).
tff(c_130733,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_130732]) ).
tff(c_130737,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130733,c_146]) ).
tff(c_130845,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_130737,c_130725,c_130035,c_10]) ).
tff(c_130850,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130845,c_116]) ).
tff(c_130868,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_130850,c_16]) ).
tff(c_130869,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_130868]) ).
tff(c_130872,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130869,c_118]) ).
tff(c_130890,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_130872,c_130861,c_130047,c_12]) ).
tff(c_130900,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130890,c_130044,c_58]) ).
tff(c_130901,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_130721,c_196,c_198,c_130900]) ).
tff(c_130937,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130901,c_130890,c_130044,c_62]) ).
tff(c_130938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130918,c_204,c_200,c_202,c_130937]) ).
tff(c_130939,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_130868]) ).
tff(c_130943,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130939,c_118]) ).
tff(c_130953,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_130861,c_130047,c_130943,c_12]) ).
tff(c_131092,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130953,c_130939,c_130953,c_106931,c_130953,c_130939,c_130953,c_728]) ).
tff(c_131093,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_130717]) ).
tff(c_131105,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131093,c_88]) ).
tff(c_131106,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_129006,c_198,c_131105]) ).
tff(c_131107,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_131106]) ).
tff(c_131138,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_123707,c_78]) ).
tff(c_131139,plain,
( ( op(e2,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_131138]) ).
tff(c_131140,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_131139]) ).
tff(c_131165,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131107,c_131140,c_131093,c_84]) ).
tff(c_131166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_130037,c_131165]) ).
tff(c_131168,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_131139]) ).
tff(c_131127,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_130044,c_48]) ).
tff(c_131128,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_131127]) ).
tff(c_131133,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131128,c_152]) ).
tff(c_131179,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131107,c_131093,c_96]) ).
tff(c_131180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_131168,c_204,c_131133,c_131179]) ).
tff(c_131181,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_131106]) ).
tff(c_131188,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_131181,c_154]) ).
tff(c_131295,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_131286,c_131188,c_130035,c_10]) ).
tff(c_131299,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131295,c_112]) ).
tff(c_131307,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_131299,c_129005,c_123711,c_14]) ).
tff(c_131319,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_131307,c_123707,c_74]) ).
tff(c_131320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130718,c_198,c_204,c_196,c_131319]) ).
tff(c_131321,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_130043]) ).
tff(c_132149,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_131321,c_152]) ).
tff(c_131322,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_130043]) ).
tff(c_131637,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_106935,c_131322,c_123713,c_4]) ).
tff(c_131641,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131637,c_158]) ).
tff(c_131323,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_131328,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131323,c_192]) ).
tff(c_131462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131328,c_106938,c_129002,c_130034,c_24]) ).
tff(c_131463,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_131487,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_131463]) ).
tff(c_131492,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131487,c_154]) ).
tff(c_131465,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_129006,c_88]) ).
tff(c_131466,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_131465]) ).
tff(c_131473,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_131466,c_190]) ).
tff(c_131535,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_131473,c_16]) ).
tff(c_131536,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_131535]) ).
tff(c_131622,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131466,c_131536,c_106931,c_82]) ).
tff(c_131623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_130034,c_200,c_196,c_131622]) ).
tff(c_131624,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_131535]) ).
tff(c_131647,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_129005,c_123711,c_14]) ).
tff(c_131648,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_131647]) ).
tff(c_131668,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_131648,c_123707,c_74]) ).
tff(c_131669,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_131668]) ).
tff(c_131717,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131466,c_131624,c_106931,c_94]) ).
tff(c_131718,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_131717]) ).
tff(c_131480,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_131321,c_146]) ).
tff(c_131697,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_131492,c_131480,c_130035,c_10]) ).
tff(c_131684,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131466,c_131669,c_131487,c_84]) ).
tff(c_131685,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_131684]) ).
tff(c_680,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_131800,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131669,c_106931,c_131718,c_131648,c_131466,c_131718,c_131697,c_131685,c_680]) ).
tff(c_131801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_202,c_198,c_131800]) ).
tff(c_131802,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_131647]) ).
tff(c_131816,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131624,c_131802,c_64]) ).
tff(c_131817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_131641,c_131492,c_131816]) ).
tff(c_131819,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_131463]) ).
tff(c_131820,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_131480,c_130035,c_10]) ).
tff(c_131821,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_131820]) ).
tff(c_131826,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131821,c_116]) ).
tff(c_131880,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_131826,c_106937,c_131473,c_16]) ).
tff(c_131891,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_106935,c_131322,c_123713,c_4]) ).
tff(c_131824,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131821,c_154]) ).
tff(c_131469,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_131466,c_140]) ).
tff(c_131926,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_131824,c_131469,c_130037,c_26]) ).
tff(c_131818,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_131463]) ).
tff(c_131832,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_131818]) ).
tff(c_131915,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131466,c_131832,c_84]) ).
tff(c_131916,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_130037,c_131915]) ).
tff(c_132045,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131880,c_131891,c_131926,c_131880,c_131321,c_130030,c_131916,c_131466,c_436]) ).
tff(c_132046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_194,c_200,c_132045]) ).
tff(c_132047,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_131818]) ).
tff(c_132059,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_131824,c_131469,c_130037,c_26]) ).
tff(c_132068,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131466,c_132047,c_132059,c_84]) ).
tff(c_132069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_123712,c_200,c_196,c_132068]) ).
tff(c_132070,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_131820]) ).
tff(c_132074,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_132070,c_154]) ).
tff(c_132143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131819,c_132074,c_131469,c_130037,c_26]) ).
tff(c_132144,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_131465]) ).
tff(c_132155,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_132149,c_132144]) ).
tff(c_132166,plain,
( ( op(e0,e1) = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132155,c_131463]) ).
tff(c_132167,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_132166]) ).
tff(c_132168,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_132167]) ).
tff(c_132422,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132168,c_154]) ).
tff(c_132169,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_129005,c_123711,c_14]) ).
tff(c_132170,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_132169]) ).
tff(c_132183,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132170,c_120]) ).
tff(c_132200,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_132183,c_106937,c_16]) ).
tff(c_132201,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_132200]) ).
tff(c_132231,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132201,c_106931,c_82]) ).
tff(c_132232,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_130034,c_194,c_196,c_132231]) ).
tff(c_132242,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132232,c_132155,c_132168,c_92]) ).
tff(c_132243,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_132242]) ).
tff(c_132370,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132243,c_106931,c_132155,c_132201,c_131321,c_130030,c_128999,c_132243,c_690]) ).
tff(c_132371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_194,c_198,c_132370]) ).
tff(c_132372,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_132200]) ).
tff(c_132389,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132372,c_190]) ).
tff(c_132400,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132155,c_132168,c_92]) ).
tff(c_132401,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_106939,c_198,c_204,c_132400]) ).
tff(c_132414,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132401,c_132155,c_132168,c_84]) ).
tff(c_132415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132389,c_196,c_194,c_200,c_132414]) ).
tff(c_132416,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_132169]) ).
tff(c_132429,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_132416,c_112]) ).
tff(c_132148,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_131321,c_146]) ).
tff(c_132460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132422,c_132429,c_132148,c_130035,c_10]) ).
tff(c_132461,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_132167]) ).
tff(c_132467,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132461,c_178]) ).
tff(c_132472,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_106935,c_131322,c_123713,c_4]) ).
tff(c_132476,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132472,c_158]) ).
tff(c_132477,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132472,c_160]) ).
tff(c_132529,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_132477,c_129004,c_130036,c_20]) ).
tff(c_132533,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_132529,c_162]) ).
tff(c_132159,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132155,c_166]) ).
tff(c_132583,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_132476,c_132533,c_132159,c_12]) ).
tff(c_132482,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_132148,c_130035,c_10]) ).
tff(c_132483,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_132482]) ).
tff(c_132496,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132461,c_132155,c_92]) ).
tff(c_132497,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_106939,c_204,c_198,c_132496]) ).
tff(c_132657,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132583,c_132483,c_132583,c_132497,c_132583,c_132483,c_132583,c_756]) ).
tff(c_132658,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_132482]) ).
tff(c_132663,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_132658,c_112]) ).
tff(c_132732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132467,c_132663,c_129005,c_123711,c_14]) ).
tff(c_132733,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_130028]) ).
tff(c_132740,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_132733,c_122]) ).
tff(c_133452,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_129005,c_123711,c_14]) ).
tff(c_133453,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_133452]) ).
tff(c_133459,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133453,c_114]) ).
tff(c_132747,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_48]) ).
tff(c_132748,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_132747]) ).
tff(c_132749,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_132748]) ).
tff(c_132753,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132749,c_160]) ).
tff(c_133243,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_132753,c_132740,c_129004,c_20]) ).
tff(c_133426,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_133243,c_128999,c_132749,c_128999,c_133243,c_128999,c_752]) ).
tff(c_133427,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_132748]) ).
tff(c_133542,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_133427,c_40]) ).
tff(c_133543,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_133542]) ).
tff(c_133547,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_133543,c_158]) ).
tff(c_133457,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133453,c_120]) ).
tff(c_133440,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_129006,c_88]) ).
tff(c_133441,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_133440]) ).
tff(c_133447,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_133441,c_190]) ).
tff(c_133508,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_133457,c_106937,c_133447,c_16]) ).
tff(c_133513,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133508,c_186]) ).
tff(c_133464,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_132740,c_129004,c_20]) ).
tff(c_133465,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_133464]) ).
tff(c_133527,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_133465,c_132733,c_68]) ).
tff(c_133528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133513,c_194,c_200,c_196,c_133527]) ).
tff(c_133529,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_133464]) ).
tff(c_133535,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133529,c_162]) ).
tff(c_133574,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_133459,c_133547,c_133535,c_12]) ).
tff(c_133579,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_133574,c_166]) ).
tff(c_133434,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133427,c_152]) ).
tff(c_132741,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_132733,c_156]) ).
tff(c_133443,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_133441,c_140]) ).
tff(c_133564,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_133434,c_132741,c_133443,c_26]) ).
tff(c_133599,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133441,c_133564,c_92]) ).
tff(c_133600,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_133579,c_196,c_133599]) ).
tff(c_133584,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_133457,c_106937,c_133447,c_16]) ).
tff(c_133644,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_133529,c_132733,c_80]) ).
tff(c_133645,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_133644]) ).
tff(c_133733,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133600,c_106931,c_133564,c_133584,c_133441,c_133645,c_128999,c_133600,c_714]) ).
tff(c_133734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_198,c_133733]) ).
tff(c_133735,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_133452]) ).
tff(c_133754,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_133735,c_114]) ).
tff(c_133737,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_133427,c_40]) ).
tff(c_133738,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_133737]) ).
tff(c_133742,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_133738,c_158]) ).
tff(c_133783,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_132740,c_129004,c_20]) ).
tff(c_133784,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_133783]) ).
tff(c_133942,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133784,c_162]) ).
tff(c_133433,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133427,c_146]) ).
tff(c_133790,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133784,c_162]) ).
tff(c_133819,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_133790,c_133754,c_133742,c_12]) ).
tff(c_133785,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_133447,c_16]) ).
tff(c_133786,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_133785]) ).
tff(c_133753,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_133735,c_178]) ).
tff(c_133760,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133441,c_92]) ).
tff(c_133761,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_133753,c_132741,c_133760]) ).
tff(c_133935,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133819,c_133738,c_128999,c_133735,c_133786,c_133784,c_133761,c_133441,c_412]) ).
tff(c_133936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_204,c_133935]) ).
tff(c_133937,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_133785]) ).
tff(c_133969,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133937,c_133735,c_64]) ).
tff(c_133970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_133942,c_133433,c_133969]) ).
tff(c_133971,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_133783]) ).
tff(c_133976,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133971,c_162]) ).
tff(c_134031,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_133754,c_133742,c_133976,c_12]) ).
tff(c_133981,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_133447,c_16]) ).
tff(c_133982,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_133981]) ).
tff(c_133985,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133982,c_118]) ).
tff(c_133993,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133761,c_133971,c_133738,c_62]) ).
tff(c_133994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_133985,c_202,c_133993]) ).
tff(c_133995,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_133981]) ).
tff(c_134127,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134031,c_133995,c_134031,c_106931,c_134031,c_133995,c_134031,c_728]) ).
tff(c_134128,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_133440]) ).
tff(c_134130,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_134128]) ).
tff(c_134141,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134130,c_92]) ).
tff(c_134142,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_198,c_134141]) ).
tff(c_134143,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_134142]) ).
tff(c_134153,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134143,c_128999,c_123707,c_78]) ).
tff(c_134154,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_134153]) ).
tff(c_134159,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134154,c_114]) ).
tff(c_134165,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_133427,c_40]) ).
tff(c_134166,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_134165]) ).
tff(c_134170,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134166,c_158]) ).
tff(c_134177,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134143,c_134130,c_84]) ).
tff(c_134178,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_134177]) ).
tff(c_134179,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_134178]) ).
tff(c_134189,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134179,c_134143,c_134130,c_96]) ).
tff(c_134190,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_134189]) ).
tff(c_134195,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134190,c_168]) ).
tff(c_134200,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_134195,c_132740,c_129004,c_20]) ).
tff(c_134205,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134200,c_162]) ).
tff(c_134233,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_134159,c_134170,c_134205,c_12]) ).
tff(c_134183,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134179,c_192]) ).
tff(c_134259,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106938,c_129002,c_134183,c_24]) ).
tff(c_418,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_134353,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134233,c_134166,c_134259,c_134154,c_134200,c_128999,c_128999,c_134143,c_418]) ).
tff(c_134354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_198,c_134353]) ).
tff(c_134355,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_134178]) ).
tff(c_134361,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134355,c_168]) ).
tff(c_134370,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_132740,c_129004,c_134361,c_20]) ).
tff(c_134500,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_134370,c_128999,c_134355,c_134370,c_128999,c_128999,c_742]) ).
tff(c_134501,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_134142]) ).
tff(c_134524,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134501,c_134130,c_96]) ).
tff(c_134525,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_134524]) ).
tff(c_134526,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_134525]) ).
tff(c_134529,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134526,c_144]) ).
tff(c_134502,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_134142]) ).
tff(c_134536,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_129005,c_123711,c_14]) ).
tff(c_134537,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_134536]) ).
tff(c_134589,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_134537,c_123707,c_74]) ).
tff(c_134590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134502,c_198,c_204,c_196,c_134589]) ).
tff(c_134591,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_134536]) ).
tff(c_134629,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_134591,c_123707,c_78]) ).
tff(c_134630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134529,c_202,c_204,c_200,c_134629]) ).
tff(c_134632,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_134525]) ).
tff(c_134129,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_133440]) ).
tff(c_134723,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_134632,c_106939,c_134129,c_32]) ).
tff(c_134727,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134723,c_190]) ).
tff(c_134506,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_134501,c_166]) ).
tff(c_134513,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_133427,c_40]) ).
tff(c_134514,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_134513]) ).
tff(c_134518,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134514,c_158]) ).
tff(c_134631,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_134525]) ).
tff(c_134667,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134631,c_134501,c_134130,c_84]) ).
tff(c_134668,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_134667]) ).
tff(c_134672,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134668,c_192]) ).
tff(c_134642,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_132740,c_129004,c_20]) ).
tff(c_134643,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_134642]) ).
tff(c_134686,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_134643,c_132733,c_68]) ).
tff(c_134687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134672,c_194,c_200,c_196,c_134686]) ).
tff(c_134688,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_134642]) ).
tff(c_134693,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134688,c_162]) ).
tff(c_134749,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_134506,c_134518,c_134693,c_12]) ).
tff(c_134710,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128999,c_134688,c_132733,c_80]) ).
tff(c_134711,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_134710]) ).
tff(c_134715,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134711,c_186]) ).
tff(c_134732,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_134715,c_106937,c_16]) ).
tff(c_134733,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_134732]) ).
tff(c_132739,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_132733,c_150]) ).
tff(c_134136,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134130,c_154]) ).
tff(c_134758,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_133433,c_132739,c_134136,c_10]) ).
tff(c_134637,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134631,c_178]) ).
tff(c_134699,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_134637,c_129005,c_123711,c_14]) ).
tff(c_440,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_134864,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134749,c_134514,c_134501,c_134733,c_134758,c_134688,c_134699,c_134501,c_440]) ).
tff(c_134865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_194,c_198,c_134864]) ).
tff(c_134866,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_134732]) ).
tff(c_134868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134727,c_134866]) ).
tff(c_134869,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_134128]) ).
tff(c_134876,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134869,c_164]) ).
tff(c_134925,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_133427,c_40]) ).
tff(c_134926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_134876,c_202,c_134925]) ).
tff(c_134927,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_128997]) ).
tff(c_134935,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_134927,c_180]) ).
tff(c_134934,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_134927,c_174]) ).
tff(c_134932,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_134927,c_124]) ).
tff(c_134968,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134963,c_148]) ).
tff(c_135909,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_24]) ).
tff(c_135910,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_135909]) ).
tff(c_135925,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135910,c_186]) ).
tff(c_135926,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135910,c_192]) ).
tff(c_135985,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_134934,c_123711,c_14]) ).
tff(c_135986,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_135985]) ).
tff(c_135991,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135986,c_178]) ).
tff(c_134950,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134945,c_164]) ).
tff(c_135923,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135910,c_128]) ).
tff(c_135495,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_32]) ).
tff(c_135496,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_135495]) ).
tff(c_135501,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135496,c_192]) ).
tff(c_134949,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134945,c_160]) ).
tff(c_134948,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134945,c_158]) ).
tff(c_134956,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_134957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134948,c_134956]) ).
tff(c_134958,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_134975,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_134958]) ).
tff(c_134976,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_134932,c_134968,c_18]) ).
tff(c_134977,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_134976]) ).
tff(c_134991,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134977,c_150]) ).
tff(c_134969,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134963,c_146]) ).
tff(c_134983,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134975,c_110]) ).
tff(c_135336,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_134991,c_134969,c_134983,c_10]) ).
tff(c_135469,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134975,c_135336,c_134975,c_134977,c_135336,c_134975,c_134975,c_760]) ).
tff(c_135470,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_134976]) ).
tff(c_135520,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134927,c_135470,c_80]) ).
tff(c_135521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135501,c_204,c_134949,c_200,c_135520]) ).
tff(c_135522,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_135495]) ).
tff(c_135524,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_135522]) ).
tff(c_134933,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_134927,c_126]) ).
tff(c_134970,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134963,c_152]) ).
tff(c_135525,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_134970,c_88]) ).
tff(c_135526,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_135525]) ).
tff(c_135538,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_135526,c_135524]) ).
tff(c_135540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_135538]) ).
tff(c_135541,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_135525]) ).
tff(c_135555,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_135541]) ).
tff(c_135560,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135555,c_168]) ).
tff(c_135474,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134975,c_162]) ).
tff(c_135606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134949,c_134933,c_135560,c_135474,c_20]) ).
tff(c_135607,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_135541]) ).
tff(c_135685,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135470,c_134963,c_42]) ).
tff(c_135686,plain,
( ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_135685]) ).
tff(c_135687,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_135686]) ).
tff(c_135721,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135524,c_135607,c_135687,c_96]) ).
tff(c_135722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_134950,c_204,c_135721]) ).
tff(c_135724,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_135686]) ).
tff(c_135749,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135524,c_135607,c_92]) ).
tff(c_135750,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_135724,c_135749]) ).
tff(c_135846,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134963,c_134945,c_134963,c_135750,c_134945,c_134963,c_134963,c_744]) ).
tff(c_135847,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_135522]) ).
tff(c_135855,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135847,c_190]) ).
tff(c_135473,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134975,c_118]) ).
tff(c_135894,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_135855,c_135473,c_16]) ).
tff(c_135900,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135894,c_186]) ).
tff(c_135854,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135847,c_192]) ).
tff(c_135487,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135470,c_128]) ).
tff(c_135905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135900,c_106938,c_135854,c_135487,c_24]) ).
tff(c_135906,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_134958]) ).
tff(c_135908,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_135906]) ).
tff(c_135915,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_135908,c_166]) ).
tff(c_135931,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_134970,c_26]) ).
tff(c_135932,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_135931]) ).
tff(c_135943,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135932,c_92]) ).
tff(c_135944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106939,c_134935,c_135915,c_204,c_135943]) ).
tff(c_135945,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_135931]) ).
tff(c_135947,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_135945]) ).
tff(c_135954,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135947,c_156]) ).
tff(c_135970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135923,c_134932,c_134968,c_135954,c_18]) ).
tff(c_135971,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_135945]) ).
tff(c_135996,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135971,c_96]) ).
tff(c_135997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135926,c_135991,c_134950,c_204,c_135996]) ).
tff(c_135998,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_135985]) ).
tff(c_136003,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135998,c_120]) ).
tff(c_136193,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_135926,c_106939,c_32]) ).
tff(c_136194,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_136193]) ).
tff(c_136049,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_135923,c_134932,c_134968,c_18]) ).
tff(c_136010,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135971,c_88]) ).
tff(c_136011,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_136010]) ).
tff(c_136012,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_136011]) ).
tff(c_136017,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136012,c_190]) ).
tff(c_136034,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_135925,c_106937,c_136017,c_16]) ).
tff(c_136084,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135910,c_134927,c_136049,c_72]) ).
tff(c_136085,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_136084]) ).
tff(c_136108,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136085,c_135908,c_134945,c_50]) ).
tff(c_136109,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_136108]) ).
tff(c_136189,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_123707,c_135971,c_136034,c_135908,c_136085,c_136109,c_136012,c_572]) ).
tff(c_136190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_200,c_136189]) ).
tff(c_136192,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_136011]) ).
tff(c_136205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_136194,c_136192]) ).
tff(c_136206,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_136193]) ).
tff(c_136213,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136206,c_190]) ).
tff(c_136254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135925,c_106937,c_136003,c_136213,c_16]) ).
tff(c_136255,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_135909]) ).
tff(c_136268,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_136255]) ).
tff(c_136271,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136268,c_128]) ).
tff(c_136519,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_134932,c_134968,c_136271,c_18]) ).
tff(c_136523,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136519,c_150]) ).
tff(c_136263,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_135908,c_110]) ).
tff(c_136539,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_136523,c_136263,c_134969,c_10]) ).
tff(c_136261,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_135908,c_166]) ).
tff(c_136279,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_106939,c_134935,c_136261,c_92]) ).
tff(c_136274,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136268,c_192]) ).
tff(c_136290,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_136274,c_32]) ).
tff(c_136291,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_136290]) ).
tff(c_136296,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136291,c_190]) ).
tff(c_136327,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136268,c_134927,c_72]) ).
tff(c_136328,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_134968,c_136327]) ).
tff(c_136333,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136328,c_168]) ).
tff(c_136340,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136291,c_136279,c_88]) ).
tff(c_136341,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_136333,c_198,c_136340]) ).
tff(c_136400,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136291,c_136341,c_136279,c_84]) ).
tff(c_136401,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_136400]) ).
tff(c_136305,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136279,c_134963,c_34]) ).
tff(c_136306,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_136271,c_194,c_136305]) ).
tff(c_136316,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135908,c_136306,c_56]) ).
tff(c_136317,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_136316]) ).
tff(c_136318,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_136317]) ).
tff(c_136368,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_134932,c_134968,c_136271,c_18]) ).
tff(c_136463,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136341,c_106931,c_136401,c_136318,c_106931,c_136368,c_136306,c_136401,c_688]) ).
tff(c_136464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_196,c_194,c_136463]) ).
tff(c_136466,plain,
op(e2,e0) != e2,
inference(splitRight,[status(thm)],[c_136317]) ).
tff(c_136273,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136268,c_186]) ).
tff(c_136475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136296,c_106937,c_136466,c_136273,c_16]) ).
tff(c_136476,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_136290]) ).
tff(c_136480,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136476,c_142]) ).
tff(c_136572,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_134950,c_136261,c_136480,c_28]) ).
tff(c_136650,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136519,c_123707,c_134963,c_136539,c_136279,c_136268,c_136572,c_136476,c_492]) ).
tff(c_136651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_204,c_200,c_136650]) ).
tff(c_136652,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_136255]) ).
tff(c_136658,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136652,c_186]) ).
tff(c_136992,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135908,c_56]) ).
tff(c_136993,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_136658,c_198,c_134969,c_136992]) ).
tff(c_136664,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_106939,c_134935,c_136261,c_92]) ).
tff(c_136820,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136664,c_134963,c_34]) ).
tff(c_136821,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_136820]) ).
tff(c_136822,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_136821]) ).
tff(c_136839,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136652,c_134927,c_136822,c_80]) ).
tff(c_136840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_134949,c_200,c_136839]) ).
tff(c_136842,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_136821]) ).
tff(c_136851,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_134932,c_134968,c_136842,c_18]) ).
tff(c_136659,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136652,c_192]) ).
tff(c_136676,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_136659,c_32]) ).
tff(c_136677,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_136676]) ).
tff(c_136681,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136677,c_144]) ).
tff(c_136702,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_136681,c_134935,c_123712,c_30]) ).
tff(c_136707,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136702,c_178]) ).
tff(c_136689,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136664,c_134963,c_34]) ).
tff(c_136690,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_136689]) ).
tff(c_136691,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_136690]) ).
tff(c_136694,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136691,c_150]) ).
tff(c_136712,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135908,c_52]) ).
tff(c_136713,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_123711,c_196,c_136694,c_136712]) ).
tff(c_136729,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136713,c_135908,c_56]) ).
tff(c_136730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_136707,c_198,c_134969,c_136729]) ).
tff(c_136731,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_136690]) ).
tff(c_136737,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136731,c_116]) ).
tff(c_136778,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136677,c_136652,c_106931,c_82]) ).
tff(c_136779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_136737,c_196,c_136778]) ).
tff(c_136780,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_136676]) ).
tff(c_136786,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136780,c_190]) ).
tff(c_136870,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_136658,c_136786,c_16]) ).
tff(c_136792,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_134935,c_123712,c_30]) ).
tff(c_136793,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_136792]) ).
tff(c_136902,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136780,c_136793,c_136664,c_88]) ).
tff(c_136903,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_136902]) ).
tff(c_588,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_136980,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136851,c_123707,c_136780,c_136870,c_136903,c_136652,c_136664,c_136780,c_588]) ).
tff(c_136981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_204,c_136980]) ).
tff(c_136982,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_136792]) ).
tff(c_136987,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136982,c_178]) ).
tff(c_137003,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_136993,c_136987]) ).
tff(c_137004,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_135906]) ).
tff(c_137011,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137004,c_114]) ).
tff(c_137212,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_134934,c_137011,c_123711,c_14]) ).
tff(c_137216,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137212,c_120]) ).
tff(c_137008,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137004,c_118]) ).
tff(c_137018,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_134969,c_10]) ).
tff(c_137019,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_137018]) ).
tff(c_137047,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137019,c_112]) ).
tff(c_137101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137047,c_134934,c_137011,c_123711,c_14]) ).
tff(c_137102,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_137018]) ).
tff(c_137104,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_137102]) ).
tff(c_137110,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137104,c_116]) ).
tff(c_137237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137216,c_106937,c_137008,c_137110,c_16]) ).
tff(c_137238,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_137102]) ).
tff(c_137243,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_137238,c_154]) ).
tff(c_137262,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106939,c_134935,c_137243,c_92]) ).
tff(c_137468,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134963,c_134945,c_134963,c_137262,c_134945,c_134963,c_134963,c_744]) ).
tff(c_137469,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_134944]) ).
tff(c_137475,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137469,c_152]) ).
tff(c_137473,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137469,c_148]) ).
tff(c_137483,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_24]) ).
tff(c_137484,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_137483]) ).
tff(c_137481,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_32]) ).
tff(c_137482,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_137481]) ).
tff(c_137489,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137482,c_192]) ).
tff(c_137504,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137484,c_137489]) ).
tff(c_137505,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_137483]) ).
tff(c_138216,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_137505]) ).
tff(c_138219,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138216,c_128]) ).
tff(c_138238,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_137473,c_134932,c_138219,c_18]) ).
tff(c_138220,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138216,c_130]) ).
tff(c_137512,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137482,c_190]) ).
tff(c_137529,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_137505]) ).
tff(c_137532,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137529,c_128]) ).
tff(c_137605,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_137473,c_134932,c_137532,c_18]) ).
tff(c_137474,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137469,c_146]) ).
tff(c_137538,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_137474,c_10]) ).
tff(c_137539,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_137538]) ).
tff(c_137517,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_134933,c_20]) ).
tff(c_137518,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_137517]) ).
tff(c_137523,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137518,c_162]) ).
tff(c_137556,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_137539,c_110]) ).
tff(c_137540,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_137469,c_40]) ).
tff(c_137541,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_137540]) ).
tff(c_137545,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137541,c_158]) ).
tff(c_137565,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_137523,c_137556,c_137545,c_12]) ).
tff(c_137553,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_137539,c_154]) ).
tff(c_137578,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_137475,c_137553,c_26]) ).
tff(c_137579,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_137578]) ).
tff(c_137584,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137579,c_156]) ).
tff(c_137602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137473,c_134932,c_137584,c_137532,c_18]) ).
tff(c_137603,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_137578]) ).
tff(c_494,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_137747,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137605,c_123707,c_137539,c_137565,c_137541,c_137605,c_137469,c_137603,c_494]) ).
tff(c_137748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_194,c_200,c_137747]) ).
tff(c_137749,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_137538]) ).
tff(c_137751,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_137749]) ).
tff(c_137755,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137751,c_154]) ).
tff(c_137786,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137482,c_84]) ).
tff(c_137787,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_123712,c_137755,c_137786]) ).
tff(c_137809,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137482,c_137787,c_88]) ).
tff(c_137810,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_137809]) ).
tff(c_137811,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_137810]) ).
tff(c_137470,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_134944]) ).
tff(c_137763,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_137470,c_106935,c_123713,c_4]) ).
tff(c_137843,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_137473,c_134932,c_137532,c_18]) ).
tff(c_137946,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137811,c_106931,c_137469,c_137751,c_137763,c_137843,c_137751,c_137787,c_592]) ).
tff(c_137947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_194,c_194,c_137946]) ).
tff(c_137948,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_137810]) ).
tff(c_137976,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137948,c_137751,c_137469,c_42]) ).
tff(c_137977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_134932,c_196,c_204,c_137976]) ).
tff(c_137978,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_137749]) ).
tff(c_137986,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137978,c_116]) ).
tff(c_137533,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137529,c_186]) ).
tff(c_138023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137512,c_106937,c_137986,c_137533,c_16]) ).
tff(c_138024,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_137505]) ).
tff(c_138211,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137469,c_106931,c_137469,c_138024,c_106931,c_137469,c_137469,c_720]) ).
tff(c_138212,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_137517]) ).
tff(c_138226,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_138220,c_138212]) ).
tff(c_138230,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138226,c_122]) ).
tff(c_138249,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138238,c_138230]) ).
tff(c_138250,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_137505]) ).
tff(c_138254,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138250,c_128]) ).
tff(c_138255,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138250,c_130]) ).
tff(c_138262,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_138255,c_138212]) ).
tff(c_138266,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138262,c_122]) ).
tff(c_138297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137473,c_134932,c_138254,c_138266,c_18]) ).
tff(c_138298,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_137481]) ).
tff(c_138300,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_138298]) ).
tff(c_138796,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_96]) ).
tff(c_138797,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_137475,c_138796]) ).
tff(c_138798,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_138797]) ).
tff(c_138802,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138798,c_138]) ).
tff(c_139102,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_138798,c_92]) ).
tff(c_139103,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_139102]) ).
tff(c_139104,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_139103]) ).
tff(c_139108,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139104,c_134]) ).
tff(c_138773,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_137470,c_106935,c_123713,c_4]) ).
tff(c_138779,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138773,c_164]) ).
tff(c_138771,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_137474,c_64]) ).
tff(c_138772,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_138771]) ).
tff(c_138787,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138772,c_118]) ).
tff(c_139003,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_138798,c_92]) ).
tff(c_139004,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_139003]) ).
tff(c_139005,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_139004]) ).
tff(c_139010,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139005,c_166]) ).
tff(c_138777,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138773,c_158]) ).
tff(c_138303,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_140]) ).
tff(c_138814,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_137474,c_10]) ).
tff(c_138815,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_138814]) ).
tff(c_138902,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138815,c_137469,c_34]) ).
tff(c_138903,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_138303,c_196,c_200,c_138902]) ).
tff(c_138916,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138903,c_138815,c_137469,c_38]) ).
tff(c_138917,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_138916]) ).
tff(c_138987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_138917,c_138300,c_138815,c_138917,c_138300,c_138300,c_762]) ).
tff(c_138988,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_138814]) ).
tff(c_138990,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_138988]) ).
tff(c_138996,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138990,c_110]) ).
tff(c_139034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138787,c_139010,c_138777,c_138996,c_12]) ).
tff(c_139035,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_139004]) ).
tff(c_139074,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_138798,c_139035,c_88]) ).
tff(c_139075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_138779,c_198,c_139074]) ).
tff(c_139076,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_138988]) ).
tff(c_139081,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139076,c_154]) ).
tff(c_139128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137475,c_139108,c_139081,c_138303,c_26]) ).
tff(c_139130,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_139103]) ).
tff(c_138304,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_142]) ).
tff(c_139139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138802,c_139130,c_138779,c_138304,c_28]) ).
tff(c_139140,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_138797]) ).
tff(c_139147,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_139140,c_168]) ).
tff(c_138306,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_192]) ).
tff(c_138312,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_138306,c_24]) ).
tff(c_138313,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_138312]) ).
tff(c_138318,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138313,c_186]) ).
tff(c_138323,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_96]) ).
tff(c_138324,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_137475,c_138323]) ).
tff(c_138325,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_138324]) ).
tff(c_138330,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138325,c_178]) ).
tff(c_138504,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_138330,c_134934,c_123711,c_14]) ).
tff(c_138508,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138504,c_120]) ).
tff(c_138307,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_190]) ).
tff(c_138527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138318,c_106937,c_138508,c_138307,c_16]) ).
tff(c_138528,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_138324]) ).
tff(c_138571,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_92]) ).
tff(c_138572,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_134935,c_138571]) ).
tff(c_138573,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_138572]) ).
tff(c_138595,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_138528,c_138573]) ).
tff(c_138597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_138595]) ).
tff(c_138598,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_138572]) ).
tff(c_138530,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_138307,c_16]) ).
tff(c_138531,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_138530]) ).
tff(c_138532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138318,c_138531]) ).
tff(c_138533,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_138530]) ).
tff(c_138539,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138533,c_116]) ).
tff(c_138545,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_137474,c_138539,c_10]) ).
tff(c_138546,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_138545]) ).
tff(c_138550,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_138546,c_154]) ).
tff(c_138567,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_138528,c_92]) ).
tff(c_138568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_134935,c_204,c_138550,c_138567]) ).
tff(c_138569,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_138545]) ).
tff(c_138625,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138569,c_150]) ).
tff(c_138657,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_137473,c_134932,c_138625,c_18]) ).
tff(c_138758,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_138598,c_138300,c_138657,c_138598,c_138300,c_138300,c_758]) ).
tff(c_138759,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_138312]) ).
tff(c_138764,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138759,c_130]) ).
tff(c_138763,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138759,c_128]) ).
tff(c_139163,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138759,c_134927,c_68]) ).
tff(c_139164,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_139163]) ).
tff(c_139165,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_139164]) ).
tff(c_139169,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139165,c_122]) ).
tff(c_139195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137473,c_134932,c_138763,c_139169,c_18]) ).
tff(c_139197,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_139164]) ).
tff(c_139220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139147,c_134933,c_138764,c_139197,c_20]) ).
tff(c_139222,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_138771]) ).
tff(c_139327,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138300,c_138759,c_106931,c_94]) ).
tff(c_139328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_139222,c_204,c_139327]) ).
tff(c_139329,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_138298]) ).
tff(c_139791,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139329,c_96]) ).
tff(c_139792,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_137475,c_139791]) ).
tff(c_139793,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_139792]) ).
tff(c_139799,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_139793,c_178]) ).
tff(c_139337,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139329,c_190]) ).
tff(c_139355,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_139337,c_16]) ).
tff(c_139356,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_139355]) ).
tff(c_139359,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_139356,c_118]) ).
tff(c_139343,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_123707,c_137469,c_40]) ).
tff(c_139344,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_139343]) ).
tff(c_139348,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139344,c_158]) ).
tff(c_139361,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_139356,c_120]) ).
tff(c_139381,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139329,c_92]) ).
tff(c_139382,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_134935,c_139381]) ).
tff(c_139383,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_139382]) ).
tff(c_139387,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139383,c_166]) ).
tff(c_139416,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_139359,c_139387,c_139348,c_12]) ).
tff(c_139349,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139344,c_160]) ).
tff(c_139362,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_139356,c_186]) ).
tff(c_139336,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139329,c_192]) ).
tff(c_139367,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106938,c_139336,c_24]) ).
tff(c_139368,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_139367]) ).
tff(c_139369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139362,c_139368]) ).
tff(c_139370,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_139367]) ).
tff(c_139376,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139370,c_130]) ).
tff(c_139460,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_134933,c_139349,c_139376,c_20]) ).
tff(c_139472,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_139361,c_134934,c_123711,c_14]) ).
tff(c_139385,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139383,c_134]) ).
tff(c_139333,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139329,c_140]) ).
tff(c_139438,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_137475,c_139385,c_139333,c_26]) ).
tff(c_139553,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139416,c_139344,c_139460,c_139472,c_139356,c_139460,c_137469,c_139438,c_406]) ).
tff(c_139554,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_202,c_200,c_139553]) ).
tff(c_139555,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_139382]) ).
tff(c_139561,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139555,c_154]) ).
tff(c_139567,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_137474,c_139561,c_10]) ).
tff(c_139568,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_139567]) ).
tff(c_139572,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139568,c_112]) ).
tff(c_139611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139361,c_134934,c_139572,c_123711,c_14]) ).
tff(c_139612,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_139567]) ).
tff(c_139618,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139612,c_110]) ).
tff(c_139648,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_139359,c_139348,c_139618,c_12]) ).
tff(c_139672,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139370,c_134927,c_72]) ).
tff(c_139673,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_139349,c_139672]) ).
tff(c_139686,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139370,c_134927,c_139673,c_80]) ).
tff(c_139687,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_139686]) ).
tff(c_139658,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_139361,c_134934,c_123711,c_14]) ).
tff(c_139624,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139344,c_50]) ).
tff(c_139625,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_139376,c_139618,c_194,c_139624]) ).
tff(c_139776,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139648,c_139344,c_139687,c_139658,c_139344,c_139673,c_139612,c_139625,c_400]) ).
tff(c_139777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_194,c_194,c_139776]) ).
tff(c_139778,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_139355]) ).
tff(c_139832,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139778,c_64]) ).
tff(c_139833,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_139799,c_137474,c_139832]) ).
tff(c_139996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_139833,c_139778,c_139833,c_106931,c_139778,c_139833,c_139833,c_728]) ).
tff(c_139997,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_139792]) ).
tff(c_140046,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139329,c_139997,c_92]) ).
tff(c_140047,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_134935,c_204,c_140046]) ).
tff(c_140068,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139329,c_139997,c_140047,c_84]) ).
tff(c_140069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_123712,c_200,c_196,c_140068]) ).
tff(c_140070,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_123705]) ).
tff(c_140078,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140070,c_100]) ).
tff(c_140074,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140070,c_172]) ).
tff(c_140084,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_140074,c_22]) ).
tff(c_140085,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_140084]) ).
tff(c_140088,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_124]) ).
tff(c_140091,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_180]) ).
tff(c_142928,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_140091,c_96]) ).
tff(c_142929,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_142928]) ).
tff(c_142931,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142929,c_140]) ).
tff(c_140096,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_2]) ).
tff(c_140097,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_140096]) ).
tff(c_140103,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140097,c_98]) ).
tff(c_140077,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140070,c_102]) ).
tff(c_140101,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140097,c_146]) ).
tff(c_140087,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_132]) ).
tff(c_140090,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_174]) ).
tff(c_140076,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140070,c_176]) ).
tff(c_140102,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140097,c_152]) ).
tff(c_140108,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_140109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140102,c_140108]) ).
tff(c_140110,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_140112,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_140110]) ).
tff(c_140115,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140112,c_136]) ).
tff(c_140804,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_140091,c_140076,c_140115,c_30]) ).
tff(c_140809,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140804,c_178]) ).
tff(c_140075,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140070,c_170]) ).
tff(c_140123,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_16]) ).
tff(c_140124,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_140123]) ).
tff(c_140126,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140124,c_118]) ).
tff(c_140135,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140126,c_12]) ).
tff(c_140136,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_140135]) ).
tff(c_140140,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140136,c_166]) ).
tff(c_140149,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140112,c_92]) ).
tff(c_140150,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_106939,c_140140,c_196,c_140149]) ).
tff(c_140130,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140124,c_190]) ).
tff(c_140163,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140150,c_140112,c_96]) ).
tff(c_140164,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_140130,c_204,c_200,c_140163]) ).
tff(c_140184,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140150,c_140164,c_140112,c_88]) ).
tff(c_140185,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_140184]) ).
tff(c_140189,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140185,c_192]) ).
tff(c_140194,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_140087,c_106938,c_140189,c_24]) ).
tff(c_140142,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140136,c_110]) ).
tff(c_140117,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140112,c_154]) ).
tff(c_140174,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_140101,c_140142,c_140117,c_10]) ).
tff(c_140178,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140174,c_150]) ).
tff(c_140118,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140112,c_156]) ).
tff(c_140204,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_140088,c_140178,c_140118,c_18]) ).
tff(c_140240,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140194,c_140085,c_140204,c_72]) ).
tff(c_140241,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_140240]) ).
tff(c_140342,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140241,c_140070,c_140185,c_140124,c_140194,c_140085,c_140124,c_140164,c_576]) ).
tff(c_140343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_196,c_202,c_140342]) ).
tff(c_140344,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_140135]) ).
tff(c_140346,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_140344]) ).
tff(c_140349,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140346,c_158]) ).
tff(c_140386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140103,c_106935,c_140077,c_140349,c_4]) ).
tff(c_140387,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_140344]) ).
tff(c_140396,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140387,c_110]) ).
tff(c_140609,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_140101,c_140396,c_140117,c_10]) ).
tff(c_140658,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_140103,c_106935,c_140077,c_4]) ).
tff(c_140405,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140088,c_140118,c_18]) ).
tff(c_140406,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_140405]) ).
tff(c_140410,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140406,c_150]) ).
tff(c_140531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140101,c_140410,c_140396,c_140117,c_10]) ).
tff(c_140532,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_140405]) ).
tff(c_140556,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140090,c_140075,c_14]) ).
tff(c_140557,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_140556]) ).
tff(c_140560,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140557,c_112]) ).
tff(c_140583,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140112,c_140532,c_140097,c_42]) ).
tff(c_140584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_140560,c_204,c_140583]) ).
tff(c_140585,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_140556]) ).
tff(c_140638,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_140532,c_76]) ).
tff(c_140639,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106938,c_204,c_198,c_140638]) ).
tff(c_140761,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_140658,c_140532,c_140585,c_140585,c_140639,c_140097,c_140112,c_406]) ).
tff(c_140762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_194,c_200,c_140761]) ).
tff(c_140763,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_140123]) ).
tff(c_140765,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_140763]) ).
tff(c_140770,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140765,c_120]) ).
tff(c_140816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140090,c_140809,c_140075,c_140770,c_14]) ).
tff(c_140817,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_140763]) ).
tff(c_140846,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140817,c_106931,c_94]) ).
tff(c_140847,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_140087,c_202,c_204,c_140846]) ).
tff(c_140869,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140847,c_140112,c_88]) ).
tff(c_140870,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_140076,c_194,c_140869]) ).
tff(c_140947,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140847,c_140870,c_140112,c_92]) ).
tff(c_140948,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_140947]) ).
tff(c_140831,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_140087,c_106938,c_24]) ).
tff(c_140832,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_140831]) ).
tff(c_140825,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140817,c_186]) ).
tff(c_140843,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_140832,c_140825]) ).
tff(c_140844,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_140831]) ).
tff(c_141047,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140948,c_106931,c_140870,c_140817,c_140112,c_140844,c_140085,c_140948,c_714]) ).
tff(c_141048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_204,c_141047]) ).
tff(c_141049,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_140110]) ).
tff(c_141051,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_141049]) ).
tff(c_141057,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141051,c_154]) ).
tff(c_141058,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141051,c_156]) ).
tff(c_141063,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140088,c_18]) ).
tff(c_141064,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_141063]) ).
tff(c_141065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_141058,c_141064]) ).
tff(c_141066,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_141063]) ).
tff(c_141068,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_141066]) ).
tff(c_141074,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_141068,c_150]) ).
tff(c_141092,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_140101,c_141057,c_141074,c_10]) ).
tff(c_141097,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141092,c_110]) ).
tff(c_140089,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_126]) ).
tff(c_141080,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_16]) ).
tff(c_141081,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_141080]) ).
tff(c_141083,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_141081,c_118]) ).
tff(c_141102,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_141083,c_12]) ).
tff(c_141103,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_141102]) ).
tff(c_141106,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141103,c_162]) ).
tff(c_141075,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_141068,c_122]) ).
tff(c_141114,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_140089,c_141106,c_141075,c_20]) ).
tff(c_141187,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_141114,c_141068,c_76]) ).
tff(c_141188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106938,c_204,c_198,c_196,c_141187]) ).
tff(c_141189,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_141102]) ).
tff(c_141191,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_141097,c_141189]) ).
tff(c_141195,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_141191,c_158]) ).
tff(c_141229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140103,c_106935,c_140077,c_141195,c_4]) ).
tff(c_141230,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_141080]) ).
tff(c_141244,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_141230]) ).
tff(c_141250,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_141244,c_190]) ).
tff(c_141267,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141051,c_88]) ).
tff(c_141268,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_140076,c_198,c_141267]) ).
tff(c_141269,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_141268]) ).
tff(c_141284,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141269,c_192]) ).
tff(c_141073,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_141068,c_128]) ).
tff(c_141312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140087,c_106938,c_141284,c_141073,c_24]) ).
tff(c_141313,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_141268]) ).
tff(c_141335,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141313,c_141051,c_84]) ).
tff(c_141336,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_141250,c_194,c_196,c_141335]) ).
tff(c_141345,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141336,c_141313,c_141051,c_96]) ).
tff(c_141346,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_141345]) ).
tff(c_141366,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141346,c_141244,c_106931,c_86]) ).
tff(c_141367,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_141366]) ).
tff(c_141472,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_141367,c_140085,c_141244,c_141367,c_140085,c_140085,c_722]) ).
tff(c_141473,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_141230]) ).
tff(c_141479,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141473,c_116]) ).
tff(c_141565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140101,c_141057,c_141479,c_141074,c_10]) ).
tff(c_141566,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_141066]) ).
tff(c_142061,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141566,c_122]) ).
tff(c_141589,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141051,c_141566,c_140097,c_34]) ).
tff(c_141590,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_141589]) ).
tff(c_141951,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_140103,c_106935,c_140077,c_4]) ).
tff(c_141630,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_140097,c_36]) ).
tff(c_141631,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_141630]) ).
tff(c_141594,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_141590,c_112]) ).
tff(c_141699,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_140090,c_140075,c_141594,c_14]) ).
tff(c_141582,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141566,c_128]) ).
tff(c_141621,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_140087,c_106938,c_141582,c_24]) ).
tff(c_141595,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_141590,c_116]) ).
tff(c_141607,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_141595,c_16]) ).
tff(c_141608,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_141607]) ).
tff(c_141568,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140089,c_20]) ).
tff(c_141569,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_141568]) ).
tff(c_141663,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141608,c_141590,c_56]) ).
tff(c_141664,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_140075,c_194,c_141663]) ).
tff(c_141719,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141569,c_141664,c_141631,c_62]) ).
tff(c_141720,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_141719]) ).
tff(c_141780,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141590,c_141631,c_140085,c_141699,c_141621,c_140085,c_141608,c_141720,c_416]) ).
tff(c_141781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_196,c_202,c_141780]) ).
tff(c_141782,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_141607]) ).
tff(c_141786,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141782,c_118]) ).
tff(c_141883,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141569,c_62]) ).
tff(c_141884,plain,
( ( op(e2,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_140103,c_141883]) ).
tff(c_141885,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_141884]) ).
tff(c_141905,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141885,c_141569,c_54]) ).
tff(c_141906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_141786,c_140077,c_141905]) ).
tff(c_141907,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_141884]) ).
tff(c_141974,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141782,c_141907,c_141590,c_60]) ).
tff(c_141975,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_141974]) ).
tff(c_141919,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_140087,c_106938,c_141582,c_24]) ).
tff(c_141928,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141569,c_141907,c_54]) ).
tff(c_141929,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_140077,c_141928]) ).
tff(c_142053,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141590,c_141951,c_140085,c_141975,c_141919,c_140085,c_141907,c_141929,c_416]) ).
tff(c_142054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_196,c_202,c_142053]) ).
tff(c_142055,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_141568]) ).
tff(c_142078,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_142061,c_142055]) ).
tff(c_142083,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142078,c_160]) ).
tff(c_142117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140103,c_106935,c_140077,c_142083,c_4]) ).
tff(c_142118,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_141049]) ).
tff(c_142126,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142118,c_156]) ).
tff(c_142666,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140088,c_142126,c_18]) ).
tff(c_142667,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_142666]) ).
tff(c_142125,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142118,c_154]) ).
tff(c_142368,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140088,c_142126,c_18]) ).
tff(c_142369,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_142368]) ).
tff(c_142461,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142118,c_142369,c_140097,c_34]) ).
tff(c_142462,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_142461]) ).
tff(c_142403,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_140103,c_106935,c_140077,c_4]) ).
tff(c_142132,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140090,c_140075,c_14]) ).
tff(c_142133,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_142132]) ).
tff(c_142138,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142133,c_178]) ).
tff(c_142357,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142118,c_92]) ).
tff(c_142358,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106939,c_142138,c_198,c_142357]) ).
tff(c_142378,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_94]) ).
tff(c_142379,plain,
( ( op(e2,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_140087,c_204,c_142378]) ).
tff(c_142380,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_142379]) ).
tff(c_142385,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142380,c_190]) ).
tff(c_142392,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_142385,c_106937,c_16]) ).
tff(c_142393,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_142392]) ).
tff(c_142139,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142133,c_114]) ).
tff(c_142148,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140089,c_20]) ).
tff(c_142149,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_142148]) ).
tff(c_142152,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142149,c_122]) ).
tff(c_142136,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142133,c_112]) ).
tff(c_142278,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142118,c_140097,c_42]) ).
tff(c_142279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_142152,c_142136,c_204,c_142278]) ).
tff(c_142280,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_142148]) ).
tff(c_142282,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_142280]) ).
tff(c_142287,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142282,c_160]) ).
tff(c_142340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140103,c_106935,c_140077,c_142287,c_4]) ).
tff(c_142341,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_142280]) ).
tff(c_142349,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142341,c_162]) ).
tff(c_142407,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142403,c_158]) ).
tff(c_142412,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_142139,c_142349,c_142407,c_12]) ).
tff(c_142542,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142462,c_142403,c_142358,c_142393,c_142412,c_142341,c_142133,c_142358,c_440]) ).
tff(c_142543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_202,c_198,c_142542]) ).
tff(c_142544,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_142392]) ).
tff(c_142551,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142544,c_186]) ).
tff(c_142566,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_142341,c_142369,c_68]) ).
tff(c_142567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142551,c_200,c_194,c_196,c_142566]) ).
tff(c_142569,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_142379]) ).
tff(c_142588,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142358,c_142118,c_96]) ).
tff(c_142589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142569,c_140091,c_204,c_202,c_142588]) ).
tff(c_142590,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_142368]) ).
tff(c_142594,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142590,c_128]) ).
tff(c_142124,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142118,c_140]) ).
tff(c_142346,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142341,c_130]) ).
tff(c_142601,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_86]) ).
tff(c_142602,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_142124,c_142346,c_198,c_142601]) ).
tff(c_142622,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142602,c_106931,c_82]) ).
tff(c_142623,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_142594,c_194,c_196,c_142622]) ).
tff(c_142640,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142623,c_142602,c_106931,c_94]) ).
tff(c_142641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_140087,c_202,c_204,c_142640]) ).
tff(c_142642,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_142132]) ).
tff(c_142646,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142642,c_112]) ).
tff(c_142655,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_140101,c_142125,c_142646,c_10]) ).
tff(c_142659,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142655,c_150]) ).
tff(c_142677,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142667,c_142659]) ).
tff(c_142678,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_142666]) ).
tff(c_142683,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142678,c_128]) ).
tff(c_142690,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142118,c_96]) ).
tff(c_142691,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_140091,c_202,c_142690]) ).
tff(c_142692,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_142691]) ).
tff(c_142698,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142692,c_190]) ).
tff(c_142647,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142642,c_120]) ).
tff(c_142716,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_142698,c_106937,c_142647,c_16]) ).
tff(c_142752,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142692,c_142716,c_106931,c_82]) ).
tff(c_142753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_142683,c_194,c_196,c_142752]) ).
tff(c_142755,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_142691]) ).
tff(c_142766,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_94]) ).
tff(c_142767,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_142755,c_140087,c_204,c_142766]) ).
tff(c_142817,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142767,c_106931,c_82]) ).
tff(c_142818,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_142683,c_200,c_196,c_142817]) ).
tff(c_142914,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142818,c_142118,c_142818,c_142655,c_142818,c_142118,c_142818,c_762]) ).
tff(c_142915,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_140096]) ).
tff(c_144207,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_142915,c_48]) ).
tff(c_144208,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_144207]) ).
tff(c_144212,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_144208,c_158]) ).
tff(c_142935,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142929,c_190]) ).
tff(c_143363,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_16]) ).
tff(c_143364,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_143363]) ).
tff(c_143365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142935,c_143364]) ).
tff(c_143366,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_143363]) ).
tff(c_144159,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_143366]) ).
tff(c_144164,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144159,c_120]) ).
tff(c_144220,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_140090,c_140075,c_144164,c_14]) ).
tff(c_142920,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142915,c_146]) ).
tff(c_143368,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_142920,c_10]) ).
tff(c_143369,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_143368]) ).
tff(c_143375,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_143369,c_110]) ).
tff(c_142940,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142929,c_92]) ).
tff(c_142941,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_142940]) ).
tff(c_142942,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_142941]) ).
tff(c_142947,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142942,c_178]) ).
tff(c_142963,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_142915,c_48]) ).
tff(c_142964,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_142963]) ).
tff(c_142968,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142964,c_158]) ).
tff(c_143064,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_142935,c_106937,c_16]) ).
tff(c_143065,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_143064]) ).
tff(c_143070,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_143065,c_186]) ).
tff(c_142975,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140089,c_20]) ).
tff(c_142976,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_142975]) ).
tff(c_142980,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142976,c_162]) ).
tff(c_142986,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_142935,c_106937,c_16]) ).
tff(c_142987,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_142986]) ).
tff(c_142990,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142987,c_118]) ).
tff(c_143000,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_142968,c_142980,c_142990,c_12]) ).
tff(c_143005,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143000,c_114]) ).
tff(c_143011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140090,c_142947,c_140075,c_143005,c_14]) ).
tff(c_143012,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_142986]) ).
tff(c_143019,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143012,c_120]) ).
tff(c_143027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140090,c_142947,c_140075,c_143019,c_14]) ).
tff(c_143028,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_142975]) ).
tff(c_143030,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_143028]) ).
tff(c_142945,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142942,c_136]) ).
tff(c_142921,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142915,c_152]) ).
tff(c_142952,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_142931,c_142945,c_142921,c_26]) ).
tff(c_142958,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142952,c_156]) ).
tff(c_142919,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142915,c_148]) ).
tff(c_143053,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_140088,c_142958,c_142919,c_18]) ).
tff(c_143104,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_143030,c_143053,c_72]) ).
tff(c_143105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143070,c_202,c_194,c_198,c_143104]) ).
tff(c_143106,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_143064]) ).
tff(c_143111,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143106,c_120]) ).
tff(c_143120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140090,c_142947,c_140075,c_143111,c_14]) ).
tff(c_143121,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_143028]) ).
tff(c_143127,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_143121,c_162]) ).
tff(c_143136,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_142968,c_143127,c_12]) ).
tff(c_143137,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_143136]) ).
tff(c_143170,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143137,c_64]) ).
tff(c_143171,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_142935,c_140090,c_204,c_143170]) ).
tff(c_143208,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142952,c_143171,c_142915,c_42]) ).
tff(c_143209,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_143208]) ).
tff(c_143304,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142942,c_106931,c_106931,c_143171,c_140070,c_143209,c_142964,c_142952,c_590]) ).
tff(c_143305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_194,c_200,c_143304]) ).
tff(c_143306,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_143136]) ).
tff(c_143312,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143306,c_114]) ).
tff(c_143360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140090,c_142947,c_140075,c_143312,c_14]) ).
tff(c_143362,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_142941]) ).
tff(c_143675,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140090,c_140075,c_14]) ).
tff(c_143676,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_143675]) ).
tff(c_143680,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_143676,c_114]) ).
tff(c_143380,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_143366]) ).
tff(c_143545,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142929,c_143380,c_106931,c_86]) ).
tff(c_143546,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_143545]) ).
tff(c_143640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_143546,c_140085,c_143380,c_143546,c_140085,c_140085,c_722]) ).
tff(c_143641,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_143366]) ).
tff(c_143645,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_143641,c_118]) ).
tff(c_143742,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_143375,c_143680,c_143645,c_12]) ).
tff(c_143361,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_142941]) ).
tff(c_143653,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_143361]) ).
tff(c_143829,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143742,c_143369,c_143742,c_143653,c_143742,c_143369,c_143742,c_756]) ).
tff(c_143830,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_143675]) ).
tff(c_143873,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_143830,c_140070,c_74]) ).
tff(c_143874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143362,c_204,c_196,c_198,c_143873]) ).
tff(c_143875,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_143361]) ).
tff(c_143880,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_143875,c_166]) ).
tff(c_143887,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142929,c_143875,c_88]) ).
tff(c_143888,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_140076,c_198,c_143887]) ).
tff(c_143999,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142929,c_143875,c_143888,c_84]) ).
tff(c_144000,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_143999]) ).
tff(c_143939,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_143375,c_143880,c_143645,c_12]) ).
tff(c_143881,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_143875,c_168]) ).
tff(c_143901,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_140089,c_143881,c_20]) ).
tff(c_143902,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_143901]) ).
tff(c_143929,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140090,c_140075,c_14]) ).
tff(c_143930,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_143929]) ).
tff(c_144062,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144000,c_106931,c_143875,c_143641,c_143939,c_143902,c_143930,c_143875,c_696]) ).
tff(c_144063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_194,c_198,c_144062]) ).
tff(c_144064,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_143929]) ).
tff(c_144118,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_144064,c_140070,c_74]) ).
tff(c_144119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143362,c_204,c_196,c_198,c_144118]) ).
tff(c_144120,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_143901]) ).
tff(c_144127,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144120,c_162]) ).
tff(c_144156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143375,c_143880,c_143645,c_144127,c_12]) ).
tff(c_144157,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_143368]) ).
tff(c_144170,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_144157]) ).
tff(c_144230,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144159,c_144220,c_144170,c_64]) ).
tff(c_144231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_144212,c_202,c_144230]) ).
tff(c_144232,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_144157]) ).
tff(c_144238,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144232,c_154]) ).
tff(c_144237,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144232,c_150]) ).
tff(c_144267,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_140088,c_144237,c_142919,c_18]) ).
tff(c_144273,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144267,c_156]) ).
tff(c_144278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142931,c_144238,c_144273,c_142921,c_26]) ).
tff(c_144279,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_143366]) ).
tff(c_144296,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144279,c_116]) ).
tff(c_144281,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_142931,c_142921,c_26]) ).
tff(c_144282,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_144281]) ).
tff(c_144287,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144282,c_154]) ).
tff(c_144316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144296,c_144287,c_144157]) ).
tff(c_144317,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_144281]) ).
tff(c_144334,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144317,c_154]) ).
tff(c_144364,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_144334,c_144157]) ).
tff(c_144368,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144364,c_150]) ).
tff(c_144335,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144317,c_156]) ).
tff(c_144374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140088,c_144368,c_144335,c_142919,c_18]) ).
tff(c_144375,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_142928]) ).
tff(c_144377,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_144375]) ).
tff(c_144450,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144377,c_92]) ).
tff(c_144451,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_204,c_144450]) ).
tff(c_144452,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_144451]) ).
tff(c_144382,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_144377,c_154]) ).
tff(c_144388,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_144382,c_142920,c_10]) ).
tff(c_144389,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_144388]) ).
tff(c_144392,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144389,c_150]) ).
tff(c_144415,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_142915,c_48]) ).
tff(c_144416,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_144415]) ).
tff(c_144420,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_144416,c_158]) ).
tff(c_144395,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144389,c_110]) ).
tff(c_144393,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144389,c_112]) ).
tff(c_144404,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_140090,c_144393,c_140075,c_14]) ).
tff(c_144410,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144404,c_114]) ).
tff(c_144440,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_144420,c_144395,c_144410,c_12]) ).
tff(c_144444,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144440,c_162]) ).
tff(c_144466,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_72]) ).
tff(c_144467,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_144444,c_144466]) ).
tff(c_144468,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_144467]) ).
tff(c_144494,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144468,c_128]) ).
tff(c_144530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140088,c_144392,c_144494,c_142919,c_18]) ).
tff(c_144531,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_144467]) ).
tff(c_144445,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144440,c_166]) ).
tff(c_144376,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_142928]) ).
tff(c_144427,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_94]) ).
tff(c_144428,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_144376,c_140087,c_204,c_144427]) ).
tff(c_144554,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144428,c_106931,c_82]) ).
tff(c_144555,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_144554]) ).
tff(c_144556,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_144555]) ).
tff(c_144565,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144556,c_144452,c_144377,c_88]) ).
tff(c_144566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_144445,c_202,c_144565]) ).
tff(c_144567,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_144555]) ).
tff(c_144592,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144567,c_140085,c_144531,c_76]) ).
tff(c_144593,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_144592]) ).
tff(c_144379,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_144377,c_134]) ).
tff(c_144456,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144452,c_138]) ).
tff(c_144578,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_144379,c_144456,c_144445,c_28]) ).
tff(c_664,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e1,op(e2,e1)) = e1 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_144697,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144452,c_106931,c_144531,c_144404,c_144404,c_144593,c_144389,c_144578,c_664]) ).
tff(c_144698,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_194,c_198,c_144697]) ).
tff(c_144700,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_144451]) ).
tff(c_144738,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140085,c_144404,c_140070,c_74]) ).
tff(c_144739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144700,c_204,c_196,c_198,c_144738]) ).
tff(c_144740,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_144388]) ).
tff(c_144746,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144740,c_116]) ).
tff(c_144810,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_144746,c_16]) ).
tff(c_144811,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_144810]) ).
tff(c_144814,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_144811,c_118]) ).
tff(c_144753,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140090,c_140075,c_14]) ).
tff(c_144754,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_144753]) ).
tff(c_144759,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144754,c_114]) ).
tff(c_144747,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144740,c_110]) ).
tff(c_144764,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140089,c_20]) ).
tff(c_144765,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_144764]) ).
tff(c_144768,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144765,c_122]) ).
tff(c_144744,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144740,c_150]) ).
tff(c_144791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140088,c_144768,c_144744,c_142919,c_18]) ).
tff(c_144792,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_144764]) ).
tff(c_144794,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_144792]) ).
tff(c_144800,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144794,c_162]) ).
tff(c_144882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144814,c_144759,c_144747,c_144800,c_12]) ).
tff(c_144883,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_144810]) ).
tff(c_144895,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144883,c_144754,c_144740,c_64]) ).
tff(c_144896,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_144895]) ).
tff(c_144900,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_144896,c_158]) ).
tff(c_142922,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142915,c_98]) ).
tff(c_144921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144900,c_106935,c_140077,c_142922,c_4]) ).
tff(c_144922,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_144792]) ).
tff(c_144979,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_142915,c_48]) ).
tff(c_144980,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_144979]) ).
tff(c_145030,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144377,c_144740,c_142915,c_42]) ).
tff(c_145031,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_145030]) ).
tff(c_145137,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144922,c_140070,c_144980,c_144740,c_140070,c_145031,c_106931,c_144377,c_462]) ).
tff(c_145138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_194,c_196,c_145137]) ).
tff(c_145139,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_144753]) ).
tff(c_145143,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145139,c_120]) ).
tff(c_145268,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_144746,c_145143,c_16]) ).
tff(c_145206,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_106935,c_140077,c_142922,c_4]) ).
tff(c_145210,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145206,c_158]) ).
tff(c_145145,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145139,c_114]) ).
tff(c_145279,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_145210,c_144747,c_145145,c_12]) ).
tff(c_145165,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_140089,c_20]) ).
tff(c_145166,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_145165]) ).
tff(c_145171,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_145166,c_162]) ).
tff(c_145179,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_145171,c_144747,c_145145,c_12]) ).
tff(c_145183,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145179,c_158]) ).
tff(c_145190,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_142915,c_48]) ).
tff(c_145191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_145183,c_200,c_145190]) ).
tff(c_145192,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_145165]) ).
tff(c_145194,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_145192]) ).
tff(c_145197,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145194,c_130]) ).
tff(c_145222,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_144376,c_106939,c_32]) ).
tff(c_145223,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_145222]) ).
tff(c_145233,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_144746,c_145143,c_16]) ).
tff(c_145243,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145223,c_145233,c_106931,c_82]) ).
tff(c_145244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_145197,c_200,c_196,c_145243]) ).
tff(c_145245,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_145222]) ).
tff(c_145151,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144377,c_92]) ).
tff(c_145152,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_204,c_145151]) ).
tff(c_145153,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_145152]) ).
tff(c_145301,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145245,c_145153,c_144377,c_88]) ).
tff(c_145302,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_145301]) ).
tff(c_145257,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145245,c_106931,c_86]) ).
tff(c_145258,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_144746,c_198,c_145257]) ).
tff(c_390,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_145395,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145268,c_145206,c_145139,c_145279,c_145302,c_145258,c_106931,c_144377,c_390]) ).
tff(c_145396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_202,c_196,c_145395]) ).
tff(c_145397,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_145192]) ).
tff(c_145502,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_142915,c_48]) ).
tff(c_145503,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_145502]) ).
tff(c_145512,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_140088,c_144744,c_142919,c_18]) ).
tff(c_145626,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145397,c_140070,c_145503,c_144740,c_140070,c_145512,c_106931,c_144377,c_462]) ).
tff(c_145627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_194,c_196,c_145626]) ).
tff(c_145628,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_145152]) ).
tff(c_145633,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_145628,c_166]) ).
tff(c_145644,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_145633,c_144747,c_145145,c_12]) ).
tff(c_145649,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145644,c_118]) ).
tff(c_145664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145649,c_106937,c_144746,c_145143,c_16]) ).
tff(c_145665,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_144375]) ).
tff(c_145672,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145665,c_164]) ).
tff(c_145902,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_142915,c_48]) ).
tff(c_145903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_145672,c_200,c_145902]) ).
tff(c_145904,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_140084]) ).
tff(c_145906,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_145904]) ).
tff(c_145910,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_124]) ).
tff(c_145911,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_126]) ).
tff(c_145918,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_145911,c_20]) ).
tff(c_145919,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_145918]) ).
tff(c_145923,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145919,c_160]) ).
tff(c_146150,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_146151,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_145923,c_146150]) ).
tff(c_145921,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145919,c_130]) ).
tff(c_145909,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_132]) ).
tff(c_146199,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_145921,c_106938,c_145909,c_24]) ).
tff(c_146303,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146151,c_106931,c_146151,c_146199,c_146151,c_106931,c_146151,c_720]) ).
tff(c_146304,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_145918]) ).
tff(c_146374,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_146304]) ).
tff(c_146377,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146374,c_130]) ).
tff(c_146473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146311,c_106938,c_146377,c_145909,c_24]) ).
tff(c_146474,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_146304]) ).
tff(c_146482,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146474,c_168]) ).
tff(c_146310,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146306,c_120]) ).
tff(c_146317,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_92]) ).
tff(c_146318,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_146317]) ).
tff(c_146370,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146318,c_145906,c_140070,c_78]) ).
tff(c_146371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_146310,c_202,c_146370]) ).
tff(c_146372,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_146317]) ).
tff(c_146488,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_146482,c_146372]) ).
tff(c_146309,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146306,c_116]) ).
tff(c_146493,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146488,c_154]) ).
tff(c_146499,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_146309,c_146493,c_10]) ).
tff(c_146500,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_146499]) ).
tff(c_146511,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_2]) ).
tff(c_146512,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_146511]) ).
tff(c_146523,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146488,c_146500,c_146512,c_34]) ).
tff(c_146524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_145910,c_194,c_200,c_146523]) ).
tff(c_146525,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_146511]) ).
tff(c_146628,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_146525,c_48]) ).
tff(c_146629,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_146628]) ).
tff(c_145912,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_174]) ).
tff(c_146617,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_146310,c_140075,c_145912,c_14]) ).
tff(c_146762,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146306,c_146629,c_145906,c_146617,c_146617,c_146474,c_140070,c_146488,c_406]) ).
tff(c_146763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_198,c_194,c_146762]) ).
tff(c_146764,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_146499]) ).
tff(c_146768,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_146764,c_146]) ).
tff(c_146781,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_146768,c_2]) ).
tff(c_146785,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146781,c_148]) ).
tff(c_146479,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146474,c_122]) ).
tff(c_146842,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_146474,c_72]) ).
tff(c_146843,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_146842]) ).
tff(c_146844,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_146843]) ).
tff(c_146848,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146844,c_128]) ).
tff(c_146890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146785,c_146479,c_146848,c_145910,c_18]) ).
tff(c_146892,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_146843]) ).
tff(c_146901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146311,c_106938,c_146892,c_145909,c_24]) ).
tff(c_146903,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_146902,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_148187,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_146902]) ).
tff(c_148194,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148187,c_112]) ).
tff(c_148195,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148187,c_110]) ).
tff(c_146904,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_146304]) ).
tff(c_146910,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146904,c_162]) ).
tff(c_146907,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146904,c_130]) ).
tff(c_147405,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106938,c_146907,c_145909,c_24]) ).
tff(c_147409,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147405,c_128]) ).
tff(c_146929,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_146902]) ).
tff(c_146934,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146929,c_112]) ).
tff(c_146935,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146929,c_110]) ).
tff(c_147143,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_146935,c_146910,c_12]) ).
tff(c_147144,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_147143]) ).
tff(c_147149,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147144,c_114]) ).
tff(c_147197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146934,c_147149,c_140075,c_145912,c_14]) ).
tff(c_147198,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_147143]) ).
tff(c_147206,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147198,c_166]) ).
tff(c_146933,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146929,c_154]) ).
tff(c_146940,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_146933,c_96]) ).
tff(c_146941,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_146940]) ).
tff(c_146946,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146941,c_144]) ).
tff(c_147046,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_146934,c_140075,c_145912,c_14]) ).
tff(c_147056,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_147046,c_140070,c_78]) ).
tff(c_147057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146946,c_200,c_204,c_202,c_147056]) ).
tff(c_147058,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_146940]) ).
tff(c_147060,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_147058]) ).
tff(c_147066,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147060,c_164]) ).
tff(c_146931,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146929,c_146]) ).
tff(c_147086,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_147087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_147066,c_146931,c_147086]) ).
tff(c_147088,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_147058]) ).
tff(c_146916,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_146903,c_106937,c_16]) ).
tff(c_146917,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_146916]) ).
tff(c_146924,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146917,c_190]) ).
tff(c_146911,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146904,c_168]) ).
tff(c_147128,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147088,c_88]) ).
tff(c_147129,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_146924,c_202,c_146911,c_147128]) ).
tff(c_147266,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147088,c_147129,c_84]) ).
tff(c_147267,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_147206,c_194,c_147266]) ).
tff(c_147278,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147267,c_147088,c_147129,c_92]) ).
tff(c_147279,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_147278]) ).
tff(c_147059,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_146940]) ).
tff(c_147234,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146917,c_106931,c_94]) ).
tff(c_147235,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_147059,c_202,c_204,c_147234]) ).
tff(c_147252,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_146934,c_140075,c_145912,c_14]) ).
tff(c_147375,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146904,c_140070,c_147279,c_146917,c_147267,c_147235,c_147252,c_147279,c_584]) ).
tff(c_147376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_200,c_198,c_147375]) ).
tff(c_147378,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_146902]) ).
tff(c_146921,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146917,c_116]) ).
tff(c_147389,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_147378,c_146921,c_10]) ).
tff(c_147390,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_147389]) ).
tff(c_147394,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147390,c_150]) ).
tff(c_146908,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146904,c_122]) ).
tff(c_147547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147409,c_147394,c_146908,c_145910,c_18]) ).
tff(c_147548,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_147389]) ).
tff(c_147556,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147548,c_110]) ).
tff(c_147553,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147548,c_146]) ).
tff(c_147572,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_147553,c_2]) ).
tff(c_147377,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_146902]) ).
tff(c_147379,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_147377]) ).
tff(c_147384,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147379,c_114]) ).
tff(c_147561,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_147384,c_146910,c_12]) ).
tff(c_147562,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_147561]) ).
tff(c_147566,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147562,c_166]) ).
tff(c_147585,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_147566,c_92]) ).
tff(c_147586,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_147585]) ).
tff(c_147590,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147586,c_136]) ).
tff(c_147607,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147548,c_147572,c_42]) ).
tff(c_147608,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_147590,c_196,c_204,c_147607]) ).
tff(c_147760,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_147572,c_147379,c_147562,c_140070,c_147608,c_145906,c_147586,c_242]) ).
tff(c_147761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_194,c_196,c_147760]) ).
tff(c_147762,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_147585]) ).
tff(c_147774,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147762,c_88]) ).
tff(c_147775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146924,c_140076,c_146911,c_198,c_147774]) ).
tff(c_147776,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_147561]) ).
tff(c_147778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147556,c_147776]) ).
tff(c_147779,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_147377]) ).
tff(c_147782,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147779,c_158]) ).
tff(c_147783,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147779,c_166]) ).
tff(c_147792,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_2]) ).
tff(c_147793,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_147792]) ).
tff(c_147798,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147793,c_152]) ).
tff(c_147804,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_147782,c_106935,c_140077,c_4]) ).
tff(c_147808,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147804,c_164]) ).
tff(c_148034,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_147378,c_146921,c_10]) ).
tff(c_148035,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_148034]) ).
tff(c_148045,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148035,c_147793,c_34]) ).
tff(c_148046,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_145910,c_196,c_200,c_148045]) ).
tff(c_148060,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148046,c_148035,c_147793,c_38]) ).
tff(c_148061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_146908,c_198,c_202,c_148060]) ).
tff(c_148062,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_148034]) ).
tff(c_148068,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148062,c_154]) ).
tff(c_147825,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147793,c_38]) ).
tff(c_147826,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_146908,c_146921,c_202,c_147825]) ).
tff(c_147836,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_147378,c_146921,c_10]) ).
tff(c_147837,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_147836]) ).
tff(c_147846,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147826,c_147837,c_147793,c_34]) ).
tff(c_147847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_145910,c_196,c_200,c_147846]) ).
tff(c_147848,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_147836]) ).
tff(c_145913,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_180]) ).
tff(c_147813,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_140076,c_145913,c_30]) ).
tff(c_147814,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_147813]) ).
tff(c_147819,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147814,c_144]) ).
tff(c_147859,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_147819,c_106939,c_146924,c_32]) ).
tff(c_147877,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147859,c_147814,c_147826,c_92]) ).
tff(c_147878,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_147877]) ).
tff(c_147796,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147793,c_148]) ).
tff(c_147897,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_147796,c_146908,c_145910,c_18]) ).
tff(c_148019,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147848,c_147804,c_147878,c_146917,c_140070,c_147897,c_147826,c_147859,c_436]) ).
tff(c_148020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_194,c_202,c_148019]) ).
tff(c_148021,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_147813]) ).
tff(c_148080,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148021,c_84]) ).
tff(c_148081,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_147808,c_148068,c_148080]) ).
tff(c_148112,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148081,c_148021,c_96]) ).
tff(c_148113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_147783,c_147798,c_148112]) ).
tff(c_148114,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_147792]) ).
tff(c_148121,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148114,c_98]) ).
tff(c_148172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147782,c_106935,c_140077,c_148121,c_4]) ).
tff(c_148173,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_146916]) ).
tff(c_148177,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148173,c_118]) ).
tff(c_148205,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_148195,c_146910,c_148177,c_12]) ).
tff(c_148211,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148205,c_114]) ).
tff(c_148260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148194,c_148211,c_140075,c_145912,c_14]) ).
tff(c_148261,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_146902]) ).
tff(c_148263,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_148261]) ).
tff(c_148267,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148263,c_178]) ).
tff(c_148262,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_146902]) ).
tff(c_148268,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148263,c_114]) ).
tff(c_148285,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_148268,c_146910,c_148177,c_12]) ).
tff(c_148291,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148285,c_110]) ).
tff(c_148178,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148173,c_116]) ).
tff(c_148555,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_148262,c_148291,c_148178,c_10]) ).
tff(c_148559,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148555,c_154]) ).
tff(c_148273,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_92]) ).
tff(c_148274,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_148273]) ).
tff(c_148278,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148274,c_136]) ).
tff(c_148296,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_2]) ).
tff(c_148297,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_148296]) ).
tff(c_148302,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148297,c_152]) ).
tff(c_148308,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_148302,c_148278,c_26]) ).
tff(c_148309,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_148308]) ).
tff(c_148314,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148309,c_154]) ).
tff(c_148330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148262,c_148291,c_148314,c_148178,c_10]) ).
tff(c_148331,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_148308]) ).
tff(c_148365,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148274,c_148331,c_88]) ).
tff(c_148366,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_146911,c_194,c_148365]) ).
tff(c_148379,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148366,c_148274,c_148331,c_96]) ).
tff(c_148380,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_148379]) ).
tff(c_148498,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148274,c_106931,c_148331,c_148173,c_148285,c_146904,c_148173,c_148380,c_696]) ).
tff(c_148499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_198,c_194,c_148498]) ).
tff(c_148500,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_148296]) ).
tff(c_148506,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148500,c_152]) ).
tff(c_148564,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_148278,c_148506,c_26]) ).
tff(c_148565,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_148564]) ).
tff(c_148569,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148565,c_140]) ).
tff(c_148600,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148173,c_106931,c_94]) ).
tff(c_148601,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_148569,c_200,c_204,c_148600]) ).
tff(c_148507,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148500,c_98]) ).
tff(c_148513,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_106935,c_140077,c_148507,c_4]) ).
tff(c_148517,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148513,c_164]) ).
tff(c_148279,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148274,c_138]) ).
tff(c_148581,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_148517,c_148279,c_146911,c_28]) ).
tff(c_148181,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148173,c_190]) ).
tff(c_148610,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_148569,c_106939,c_148181,c_32]) ).
tff(c_148699,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148274,c_106931,c_148601,c_148263,c_148285,c_146904,c_148581,c_148610,c_668]) ).
tff(c_148700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_198,c_200,c_148699]) ).
tff(c_148701,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_148564]) ).
tff(c_148703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148559,c_148701]) ).
tff(c_148705,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_148273]) ).
tff(c_148768,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148267,c_148705,c_140076,c_145913,c_30]) ).
tff(c_148769,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_148261]) ).
tff(c_149384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_148769,c_148173,c_148769,c_106931,c_148173,c_148769,c_148769,c_728]) ).
tff(c_149385,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_146304]) ).
tff(c_149392,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149385,c_162]) ).
tff(c_149919,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_149392,c_12]) ).
tff(c_149920,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_149919]) ).
tff(c_149399,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_146902]) ).
tff(c_149401,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149399,c_150]) ).
tff(c_149390,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149385,c_122]) ).
tff(c_149772,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_149401,c_149390,c_145910,c_18]) ).
tff(c_149915,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_149772,c_145906,c_149399,c_149772,c_145906,c_145906,c_764]) ).
tff(c_149916,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_146902]) ).
tff(c_149918,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_149916]) ).
tff(c_149926,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149918,c_114]) ).
tff(c_149941,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_149920,c_149926]) ).
tff(c_149942,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_149919]) ).
tff(c_149954,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_149942]) ).
tff(c_150333,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149954,c_118]) ).
tff(c_149959,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149954,c_158]) ).
tff(c_149977,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_106935,c_140077,c_149959,c_4]) ).
tff(c_149981,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149977,c_164]) ).
tff(c_149393,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149385,c_168]) ).
tff(c_149955,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_146903,c_106937,c_16]) ).
tff(c_149956,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_149955]) ).
tff(c_149971,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149956,c_190]) ).
tff(c_150035,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_149971,c_32]) ).
tff(c_150036,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_150035]) ).
tff(c_150039,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150036,c_140]) ).
tff(c_149970,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149956,c_186]) ).
tff(c_150010,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_149390,c_145910,c_18]) ).
tff(c_150011,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_150010]) ).
tff(c_150021,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_149385,c_150011,c_72]) ).
tff(c_150022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149970,c_194,c_198,c_202,c_150021]) ).
tff(c_150023,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_150010]) ).
tff(c_149917,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_146902]) ).
tff(c_149969,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149956,c_116]) ).
tff(c_149962,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149954,c_110]) ).
tff(c_149999,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_149917,c_149969,c_149962,c_10]) ).
tff(c_150066,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_149977,c_36]) ).
tff(c_150067,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_150066]) ).
tff(c_150086,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150023,c_149999,c_150067,c_46]) ).
tff(c_150087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150039,c_202,c_204,c_200,c_150086]) ).
tff(c_150088,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_150035]) ).
tff(c_149987,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_149971,c_140076,c_88]) ).
tff(c_149988,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_149987]) ).
tff(c_149948,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149918,c_178]) ).
tff(c_150102,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150088,c_149988,c_96]) ).
tff(c_150103,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_149948,c_202,c_150102]) ).
tff(c_150119,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150088,c_149988,c_150103,c_92]) ).
tff(c_150120,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_150119]) ).
tff(c_150151,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106938,c_149970,c_145909,c_24]) ).
tff(c_150247,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150120,c_106931,c_150151,c_149918,c_149918,c_149385,c_149954,c_149988,c_664]) ).
tff(c_150248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_202,c_194,c_150247]) ).
tff(c_150250,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_149987]) ).
tff(c_149961,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149954,c_166]) ).
tff(c_150327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149981,c_149393,c_150250,c_149961,c_28]) ).
tff(c_150328,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_149955]) ).
tff(c_150340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150333,c_150328]) ).
tff(c_150341,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_149942]) ).
tff(c_150346,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150341,c_118]) ).
tff(c_150843,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_146903,c_106937,c_150346,c_16]) ).
tff(c_150354,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_2]) ).
tff(c_150355,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_150354]) ).
tff(c_150358,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150355,c_148]) ).
tff(c_150448,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_149948,c_140076,c_145913,c_30]) ).
tff(c_150347,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150341,c_166]) ).
tff(c_150366,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_140076,c_150347,c_88]) ).
tff(c_150367,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_150366]) ).
tff(c_150378,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150367,c_106931,c_94]) ).
tff(c_150379,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_146903,c_204,c_150378]) ).
tff(c_150439,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_146903,c_106937,c_150346,c_16]) ).
tff(c_150360,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150355,c_152]) ).
tff(c_150389,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150367,c_96]) ).
tff(c_150390,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_149948,c_150360,c_150389]) ).
tff(c_150551,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150448,c_106931,c_150379,c_149918,c_149918,c_149385,c_150439,c_150390,c_664]) ).
tff(c_150552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_202,c_194,c_150551]) ).
tff(c_150553,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_150366]) ).
tff(c_150560,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150553,c_156]) ).
tff(c_150607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150358,c_149390,c_150560,c_145910,c_18]) ).
tff(c_150608,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_150354]) ).
tff(c_150621,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_150608,c_48]) ).
tff(c_150622,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_150621]) ).
tff(c_150631,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_149390,c_145910,c_18]) ).
tff(c_150632,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_150631]) ).
tff(c_150637,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150632,c_156]) ).
tff(c_150614,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150608,c_152]) ).
tff(c_150657,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_150637,c_150614,c_26]) ).
tff(c_150658,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_150657]) ).
tff(c_150664,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_150658,c_154]) ).
tff(c_150348,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150341,c_110]) ).
tff(c_150613,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150608,c_146]) ).
tff(c_150694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149917,c_150664,c_150348,c_150613,c_10]) ).
tff(c_150695,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_150657]) ).
tff(c_150830,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_145906,c_150632,c_145906,c_150695,c_145906,c_150632,c_145906,c_754]) ).
tff(c_150831,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_150631]) ).
tff(c_150835,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150831,c_128]) ).
tff(c_150930,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106938,c_150835,c_145909,c_24]) ).
tff(c_150625,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150622,c_164]) ).
tff(c_150856,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_149948,c_150625,c_96]) ).
tff(c_150857,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_150856]) ).
tff(c_150863,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150857,c_192]) ).
tff(c_150885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150863,c_106938,c_150835,c_145909,c_24]) ).
tff(c_150886,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_150856]) ).
tff(c_151036,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150843,c_150622,c_150930,c_149918,c_149918,c_149385,c_106931,c_150886,c_406]) ).
tff(c_151037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_202,c_196,c_151036]) ).
tff(c_151038,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_149916]) ).
tff(c_151041,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151038,c_158]) ).
tff(c_151267,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_151041,c_106935,c_140077,c_4]) ).
tff(c_151271,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151267,c_164]) ).
tff(c_151043,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151038,c_166]) ).
tff(c_151244,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_2]) ).
tff(c_151245,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_151244]) ).
tff(c_151250,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151245,c_152]) ).
tff(c_151276,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151043,c_151250,c_96]) ).
tff(c_151277,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_151276]) ).
tff(c_151282,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151277,c_192]) ).
tff(c_151054,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_145910,c_34]) ).
tff(c_151055,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_151054]) ).
tff(c_151175,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151055,c_154]) ).
tff(c_151181,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_149390,c_145910,c_18]) ).
tff(c_151182,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_151181]) ).
tff(c_151185,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151182,c_148]) ).
tff(c_151174,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151055,c_152]) ).
tff(c_151228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151185,c_106936,c_140078,c_151174,c_2]) ).
tff(c_151229,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_151181]) ).
tff(c_151236,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151229,c_150]) ).
tff(c_151039,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_149916]) ).
tff(c_151056,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_149917,c_10]) ).
tff(c_151057,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_151056]) ).
tff(c_151071,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151057,c_112]) ).
tff(c_151168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151039,c_151071,c_140075,c_145912,c_14]) ).
tff(c_151169,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_151056]) ).
tff(c_151241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151175,c_151236,c_151169]) ).
tff(c_151242,plain,
( ( op(e2,e3) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_151054]) ).
tff(c_151256,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151245,c_151242]) ).
tff(c_151257,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_151256]) ).
tff(c_151262,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151257,c_116]) ).
tff(c_151298,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_146903,c_106937,c_151262,c_16]) ).
tff(c_151302,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151298,c_186]) ).
tff(c_151322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151282,c_106938,c_151302,c_145909,c_24]) ).
tff(c_151324,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_151276]) ).
tff(c_151348,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_151324,c_106939,c_32]) ).
tff(c_151349,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_151348]) ).
tff(c_151323,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_151276]) ).
tff(c_151362,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151257,c_151245,c_42]) ).
tff(c_151363,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_149390,c_196,c_204,c_151362]) ).
tff(c_151375,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151349,c_151323,c_151363,c_84]) ).
tff(c_151376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_151271,c_196,c_151375]) ).
tff(c_151377,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_151348]) ).
tff(c_151248,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151245,c_148]) ).
tff(c_151437,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_151248,c_149390,c_145910,c_18]) ).
tff(c_151448,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151437,c_151257,c_151245,c_42]) ).
tff(c_151449,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_151448]) ).
tff(c_151500,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_151377,c_151449,c_151377,c_151437,c_151449,c_151377,c_151377,c_758]) ).
tff(c_151501,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_151244]) ).
tff(c_151520,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151501,c_98]) ).
tff(c_151566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151041,c_106935,c_140077,c_151520,c_4]) ).
tff(c_151567,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_145904]) ).
tff(c_151574,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_174]) ).
tff(c_151575,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_180]) ).
tff(c_151572,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_124]) ).
tff(c_151581,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_151589,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_190]) ).
tff(c_151587,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_144]) ).
tff(c_152501,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_152506,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152501,c_114]) ).
tff(c_152586,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_140070,c_78]) ).
tff(c_152587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151587,c_204,c_152506,c_202,c_152586]) ).
tff(c_152589,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_152590,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151589,c_152589,c_64]) ).
tff(c_152591,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_152590]) ).
tff(c_153680,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_152591,c_140070,c_66]) ).
tff(c_153681,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_153680]) ).
tff(c_151573,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_126]) ).
tff(c_152055,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151573,c_20]) ).
tff(c_152056,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_152055]) ).
tff(c_152061,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152056,c_162]) ).
tff(c_151585,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_140]) ).
tff(c_151594,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_151585,c_26]) ).
tff(c_151595,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_151594]) ).
tff(c_152069,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_151595,c_88]) ).
tff(c_152070,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_140076,c_198,c_152069]) ).
tff(c_152074,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152070,c_166]) ).
tff(c_151606,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_151607,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_151606]) ).
tff(c_151608,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_151607]) ).
tff(c_151612,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151608,c_160]) ).
tff(c_151614,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151608,c_98]) ).
tff(c_151631,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_151595,c_88]) ).
tff(c_151632,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_140076,c_198,c_151631]) ).
tff(c_151637,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151632,c_168]) ).
tff(c_151653,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_151612,c_151573,c_151637,c_20]) ).
tff(c_151657,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151653,c_130]) ).
tff(c_151600,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151595,c_154]) ).
tff(c_151619,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151600,c_10]) ).
tff(c_151620,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_151619]) ).
tff(c_151624,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151620,c_112]) ).
tff(c_151642,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_151624,c_151574,c_140075,c_14]) ).
tff(c_151646,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151642,c_120]) ).
tff(c_151673,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_106931,c_82]) ).
tff(c_151674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_151657,c_151646,c_196,c_151673]) ).
tff(c_151675,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_151619]) ).
tff(c_151677,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_151675]) ).
tff(c_151680,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151677,c_146]) ).
tff(c_151735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151614,c_106936,c_140078,c_151680,c_2]) ).
tff(c_151736,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_151675]) ).
tff(c_151744,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151736,c_116]) ).
tff(c_152005,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_106931,c_86]) ).
tff(c_152006,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_151744,c_198,c_152005]) ).
tff(c_152010,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152006,c_130]) ).
tff(c_151611,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151608,c_158]) ).
tff(c_151745,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151736,c_110]) ).
tff(c_151773,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_151611,c_151745,c_12]) ).
tff(c_151774,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_151773]) ).
tff(c_151789,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151574,c_140075,c_14]) ).
tff(c_151790,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_151789]) ).
tff(c_151823,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_151587,c_151575,c_140076,c_30]) ).
tff(c_151916,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_151774,c_151790,c_151774,c_151823,c_151790,c_151774,c_151774,c_730]) ).
tff(c_151917,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_151789]) ).
tff(c_151922,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151917,c_178]) ).
tff(c_151928,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_151595,c_88]) ).
tff(c_151929,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_140076,c_198,c_151928]) ).
tff(c_151950,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_151929,c_151595,c_84]) ).
tff(c_151951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_151922,c_194,c_196,c_151950]) ).
tff(c_151952,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_151773]) ).
tff(c_151958,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151952,c_162]) ).
tff(c_151763,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_106931,c_86]) ).
tff(c_151764,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_151744,c_198,c_151763]) ).
tff(c_151742,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151736,c_150]) ).
tff(c_151750,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151572,c_151742,c_18]) ).
tff(c_151751,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_151750]) ).
tff(c_151978,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151764,c_151567,c_151751,c_68]) ).
tff(c_151979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_151958,c_200,c_151978]) ).
tff(c_151980,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_151750]) ).
tff(c_151986,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151980,c_122]) ).
tff(c_152043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151612,c_151573,c_152010,c_151986,c_20]) ).
tff(c_152045,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_151607]) ).
tff(c_152120,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_152045,c_106935,c_140077,c_4]) ).
tff(c_152124,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152120,c_158]) ).
tff(c_152168,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_152061,c_152074,c_152124,c_12]) ).
tff(c_152044,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_151607]) ).
tff(c_152049,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152044,c_146]) ).
tff(c_152084,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_152049,c_151600,c_10]) ).
tff(c_152085,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_152084]) ).
tff(c_152090,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152085,c_116]) ).
tff(c_152131,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_151589,c_106937,c_152090,c_16]) ).
tff(c_152145,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152131,c_152085,c_64]) ).
tff(c_152146,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_152061,c_202,c_152145]) ).
tff(c_152158,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_151587,c_151575,c_140076,c_30]) ).
tff(c_152236,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_152168,c_152146,c_152168,c_152158,c_152168,c_152146,c_152168,c_730]) ).
tff(c_152237,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_152084]) ).
tff(c_152244,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152237,c_110]) ).
tff(c_152367,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_152061,c_152074,c_152244,c_12]) ).
tff(c_152242,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152237,c_112]) ).
tff(c_152315,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_151574,c_140075,c_152242,c_14]) ).
tff(c_152350,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_152070,c_151595,c_84]) ).
tff(c_152351,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_152350]) ).
tff(c_152416,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_152367,c_152315,c_152367,c_152351,c_152367,c_152315,c_152367,c_730]) ).
tff(c_152417,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_152055]) ).
tff(c_152419,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_152417]) ).
tff(c_152424,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152419,c_160]) ).
tff(c_152453,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_152044,c_36]) ).
tff(c_152454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_152424,c_200,c_152453]) ).
tff(c_152455,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_152417]) ).
tff(c_152463,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152455,c_168]) ).
tff(c_152497,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_151595,c_88]) ).
tff(c_152498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_140076,c_152463,c_198,c_152497]) ).
tff(c_152499,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_151594]) ).
tff(c_152602,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_152499]) ).
tff(c_152594,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152591,c_112]) ).
tff(c_152614,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_152615,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_152614]) ).
tff(c_152616,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_152615]) ).
tff(c_152622,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152616,c_98]) ).
tff(c_152607,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152602,c_152]) ).
tff(c_152694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152622,c_106936,c_140078,c_152607,c_2]) ).
tff(c_152696,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_152615]) ).
tff(c_152707,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_152602,c_88]) ).
tff(c_152708,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_140076,c_194,c_152707]) ).
tff(c_152712,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152708,c_166]) ).
tff(c_152588,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_152719,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_152712,c_152588]) ).
tff(c_152720,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_152719]) ).
tff(c_152723,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152720,c_158]) ).
tff(c_152758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152696,c_106935,c_140077,c_152723,c_4]) ).
tff(c_152759,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_152719]) ).
tff(c_152767,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152759,c_110]) ).
tff(c_152608,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152602,c_154]) ).
tff(c_152772,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_152594,c_152767,c_152608,c_10]) ).
tff(c_152695,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_152615]) ).
tff(c_152793,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152602,c_152772,c_152695,c_42]) ).
tff(c_152794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_151572,c_198,c_204,c_152793]) ).
tff(c_152795,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_152499]) ).
tff(c_153267,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106935,c_140077,c_4]) ).
tff(c_153268,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_153267]) ).
tff(c_153282,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153268,c_98]) ).
tff(c_152811,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_152588]) ).
tff(c_152802,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152795,c_154]) ).
tff(c_152817,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152811,c_110]) ).
tff(c_153030,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_152594,c_152802,c_152817,c_10]) ).
tff(c_152824,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_2]) ).
tff(c_152825,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_152824]) ).
tff(c_152896,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152795,c_152825,c_34]) ).
tff(c_152897,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_152817,c_200,c_152896]) ).
tff(c_152901,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152897,c_128]) ).
tff(c_152814,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152811,c_118]) ).
tff(c_152907,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_151589,c_106937,c_152814,c_16]) ).
tff(c_152927,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_152907,c_106931,c_82]) ).
tff(c_152928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_152901,c_194,c_196,c_152927]) ).
tff(c_152929,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_152824]) ).
tff(c_152952,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152795,c_152929,c_46]) ).
tff(c_152953,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_152594,c_200,c_152952]) ).
tff(c_153090,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_152811,c_153030,c_152811,c_152953,c_153030,c_152811,c_152811,c_760]) ).
tff(c_153091,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_152588]) ).
tff(c_153093,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_153091]) ).
tff(c_153100,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_153093,c_110]) ).
tff(c_153287,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_152594,c_153100,c_152802,c_10]) ).
tff(c_153291,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153287,c_146]) ).
tff(c_153329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153282,c_106936,c_140078,c_153291,c_2]) ).
tff(c_153330,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_153267]) ).
tff(c_153335,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153330,c_98]) ).
tff(c_153381,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_153335,c_2]) ).
tff(c_153385,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153381,c_148]) ).
tff(c_151588,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_192]) ).
tff(c_153204,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_151589,c_106937,c_16]) ).
tff(c_153205,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_153204]) ).
tff(c_153209,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153205,c_186]) ).
tff(c_152803,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152795,c_156]) ).
tff(c_153107,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151573,c_20]) ).
tff(c_153108,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_153107]) ).
tff(c_153111,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153108,c_122]) ).
tff(c_153118,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_153111,c_151572,c_152803,c_18]) ).
tff(c_153124,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153118,c_150]) ).
tff(c_153188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152594,c_153100,c_152802,c_153124,c_10]) ).
tff(c_153189,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_153107]) ).
tff(c_153191,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_153189]) ).
tff(c_153216,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_153191,c_72]) ).
tff(c_153217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153209,c_198,c_194,c_152803,c_153216]) ).
tff(c_153218,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_153204]) ).
tff(c_153222,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153218,c_116]) ).
tff(c_153253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152594,c_153100,c_152802,c_153222,c_10]) ).
tff(c_153254,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_153189]) ).
tff(c_153258,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153254,c_130]) ).
tff(c_153341,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_151588,c_106938,c_153258,c_24]) ).
tff(c_153390,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153341,c_151567,c_153254,c_80]) ).
tff(c_153391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_153385,c_153390]) ).
tff(c_153392,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_153091]) ).
tff(c_153397,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153392,c_118]) ).
tff(c_153648,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_151589,c_106937,c_153397,c_16]) ).
tff(c_153398,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153392,c_162]) ).
tff(c_153406,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151573,c_153398,c_20]) ).
tff(c_153407,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_153406]) ).
tff(c_153411,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153407,c_122]) ).
tff(c_153418,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151572,c_152803,c_18]) ).
tff(c_153419,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_153418]) ).
tff(c_153420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153411,c_153419]) ).
tff(c_153421,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_153418]) ).
tff(c_153426,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153421,c_148]) ).
tff(c_153489,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_153426,c_2]) ).
tff(c_153427,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153421,c_128]) ).
tff(c_153433,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_151588,c_106938,c_153427,c_24]) ).
tff(c_153571,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153489,c_106931,c_153489,c_153433,c_153489,c_106931,c_153489,c_720]) ).
tff(c_153572,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_153406]) ).
tff(c_153579,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153572,c_122]) ).
tff(c_153662,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_151572,c_152803,c_153579,c_18]) ).
tff(c_153747,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153681,c_106931,c_152795,c_153648,c_106931,c_153662,c_153662,c_153681,c_690]) ).
tff(c_153748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_196,c_204,c_153747]) ).
tff(c_153750,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_152590]) ).
tff(c_153974,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_153750,c_151574,c_140075,c_14]) ).
tff(c_153749,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_152590]) ).
tff(c_153751,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153749,c_146]) ).
tff(c_153851,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_153852,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_153751,c_153851]) ).
tff(c_153856,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153852,c_160]) ).
tff(c_153863,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_152588]) ).
tff(c_153868,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153863,c_114]) ).
tff(c_153884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153750,c_151574,c_140075,c_153868,c_14]) ).
tff(c_153885,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_152588]) ).
tff(c_153887,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_153885]) ).
tff(c_153892,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_153887,c_166]) ).
tff(c_153761,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_152499]) ).
tff(c_153772,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_153761,c_92]) ).
tff(c_153773,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_151575,c_196,c_153772]) ).
tff(c_153836,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_153773,c_153761,c_88]) ).
tff(c_153837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_140076,c_198,c_194,c_153836]) ).
tff(c_153838,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_152499]) ).
tff(c_153910,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_153838,c_92]) ).
tff(c_153911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_151575,c_153892,c_198,c_153910]) ).
tff(c_153912,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_153885]) ).
tff(c_153929,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153912,c_162]) ).
tff(c_153914,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151581,c_106931,c_82]) ).
tff(c_153915,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_153914]) ).
tff(c_153916,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_153915]) ).
tff(c_153920,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153916,c_130]) ).
tff(c_153951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153856,c_151573,c_153929,c_153920,c_20]) ).
tff(c_153952,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_153915]) ).
tff(c_153967,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153952,c_120]) ).
tff(c_153984,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153974,c_153967]) ).
tff(c_153985,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_153987,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_153985]) ).
tff(c_153986,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_153991,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_152]) ).
tff(c_154000,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_154001,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_153991,c_154000]) ).
tff(c_154005,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154001,c_160]) ).
tff(c_154035,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_88]) ).
tff(c_154036,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_140076,c_202,c_154035]) ).
tff(c_154037,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_154036]) ).
tff(c_154004,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154001,c_158]) ).
tff(c_153992,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_154]) ).
tff(c_154024,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_153992,c_10]) ).
tff(c_154025,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_154024]) ).
tff(c_154030,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154025,c_110]) ).
tff(c_154053,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_154004,c_154030,c_12]) ).
tff(c_154054,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_154053]) ).
tff(c_154068,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154054,c_154001,c_50]) ).
tff(c_154069,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_154068]) ).
tff(c_154070,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_154069]) ).
tff(c_154094,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154037,c_154070,c_153987,c_92]) ).
tff(c_154095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_151575,c_196,c_204,c_154094]) ).
tff(c_154096,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_154069]) ).
tff(c_154101,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154096,c_130]) ).
tff(c_154012,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106937,c_16]) ).
tff(c_154013,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_154012]) ).
tff(c_154131,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154037,c_154013,c_106931,c_82]) ).
tff(c_154132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_154101,c_200,c_196,c_154131]) ).
tff(c_154133,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_154053]) ).
tff(c_154149,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154133,c_162]) ).
tff(c_154172,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_154005,c_151573,c_154149,c_20]) ).
tff(c_154176,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154172,c_122]) ).
tff(c_154191,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_154001,c_36]) ).
tff(c_154192,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_154191]) ).
tff(c_154205,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_154025,c_154192,c_38]) ).
tff(c_154206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_154176,c_198,c_194,c_154205]) ).
tff(c_154208,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_154036]) ).
tff(c_154232,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_154208,c_32]) ).
tff(c_154207,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_154036]) ).
tff(c_154242,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154232,c_154207,c_153987,c_92]) ).
tff(c_154243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_151575,c_198,c_204,c_154242]) ).
tff(c_154244,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_154024]) ).
tff(c_154246,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_154244]) ).
tff(c_154249,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154246,c_146]) ).
tff(c_154311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153991,c_106936,c_140078,c_154249,c_2]) ).
tff(c_154312,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_154244]) ).
tff(c_154370,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_154312,c_34]) ).
tff(c_154371,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_154370]) ).
tff(c_154372,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_154371]) ).
tff(c_154382,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_154372,c_154312,c_42]) ).
tff(c_154383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_106936,c_154382]) ).
tff(c_154384,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_154371]) ).
tff(c_154403,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_154312,c_154384,c_42]) ).
tff(c_154404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_151572,c_198,c_196,c_154403]) ).
tff(c_154405,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_154012]) ).
tff(c_154407,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_154405]) ).
tff(c_154414,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154407,c_190]) ).
tff(c_154472,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_154414,c_32]) ).
tff(c_153988,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_134]) ).
tff(c_154476,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154472,c_142]) ).
tff(c_154459,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_84]) ).
tff(c_154460,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_154414,c_200,c_154459]) ).
tff(c_154461,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_154460]) ).
tff(c_154465,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154461,c_138]) ).
tff(c_154534,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_153988,c_154476,c_154465,c_28]) ).
tff(c_154482,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_72]) ).
tff(c_154483,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_154482]) ).
tff(c_154484,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_154483]) ).
tff(c_154477,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154472,c_192]) ).
tff(c_154494,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154484,c_154477]) ).
tff(c_154495,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_154483]) ).
tff(c_154497,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_154495]) ).
tff(c_154503,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154497,c_122]) ).
tff(c_154567,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_154005,c_151573,c_154503,c_20]) ).
tff(c_154652,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154472,c_154534,c_154472,c_154567,c_154534,c_154472,c_154472,c_746]) ).
tff(c_154654,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_154495]) ).
tff(c_154411,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154407,c_116]) ).
tff(c_154421,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_34]) ).
tff(c_154422,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_154411,c_154421]) ).
tff(c_154423,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_154422]) ).
tff(c_154426,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154423,c_148]) ).
tff(c_154447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153991,c_106936,c_140078,c_154426,c_2]) ).
tff(c_154448,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_154422]) ).
tff(c_154665,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_154448,c_38]) ).
tff(c_154666,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_154654,c_194,c_154665]) ).
tff(c_154685,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_154666,c_154448,c_42]) ).
tff(c_154686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_151572,c_198,c_196,c_154685]) ).
tff(c_154687,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_154460]) ).
tff(c_154700,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154687,c_153987,c_92]) ).
tff(c_154701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106939,c_151575,c_196,c_204,c_154700]) ).
tff(c_154702,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_154405]) ).
tff(c_154710,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154702,c_190]) ).
tff(c_154740,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153987,c_88]) ).
tff(c_154741,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_154710,c_140076,c_202,c_154740]) ).
tff(c_154762,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154741,c_153987,c_92]) ).
tff(c_154763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106939,c_151575,c_198,c_204,c_154762]) ).
tff(c_154764,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_153985]) ).
tff(c_154766,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_154764]) ).
tff(c_154772,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154766,c_178]) ).
tff(c_156877,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_154772,c_151574,c_140075,c_14]) ).
tff(c_156439,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_154772,c_151574,c_140075,c_14]) ).
tff(c_155774,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_154772,c_151574,c_140075,c_14]) ).
tff(c_155632,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_155634,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155632,c_118]) ).
tff(c_155638,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155632,c_110]) ).
tff(c_155410,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_94]) ).
tff(c_155411,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_153986,c_204,c_155410]) ).
tff(c_155412,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_155411]) ).
tff(c_155416,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155412,c_186]) ).
tff(c_154777,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154766,c_92]) ).
tff(c_154778,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106939,c_204,c_154777]) ).
tff(c_154779,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_154778]) ).
tff(c_154783,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154779,c_166]) ).
tff(c_154790,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_154772,c_151574,c_140075,c_14]) ).
tff(c_154796,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154790,c_114]) ).
tff(c_154801,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_154783,c_154796,c_12]) ).
tff(c_154802,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_154801]) ).
tff(c_154806,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154802,c_118]) ).
tff(c_154795,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154790,c_120]) ).
tff(c_155020,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_154806,c_106937,c_154795,c_16]) ).
tff(c_155025,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155020,c_190]) ).
tff(c_154831,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_154806,c_106937,c_154795,c_16]) ).
tff(c_154842,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154831,c_106931,c_94]) ).
tff(c_154843,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_153986,c_202,c_204,c_154842]) ).
tff(c_154863,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154843,c_154831,c_106931,c_82]) ).
tff(c_154864,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_154863]) ).
tff(c_154765,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_153985]) ).
tff(c_154781,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154779,c_134]) ).
tff(c_154813,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_154765,c_154781,c_26]) ).
tff(c_154814,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_154813]) ).
tff(c_154808,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154802,c_110]) ).
tff(c_154819,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_154814,c_154]) ).
tff(c_154794,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154790,c_112]) ).
tff(c_154915,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_154808,c_154819,c_154794,c_10]) ).
tff(c_154993,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154864,c_154814,c_154864,c_154915,c_154864,c_154814,c_154864,c_762]) ).
tff(c_154994,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_154813]) ).
tff(c_155001,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154994,c_140]) ).
tff(c_155063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_155025,c_155001,c_32]) ).
tff(c_155064,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_154801]) ).
tff(c_155069,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155064,c_118]) ).
tff(c_155433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155416,c_106937,c_155069,c_154795,c_16]) ).
tff(c_155435,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_155411]) ).
tff(c_155090,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_106937,c_155069,c_154795,c_16]) ).
tff(c_155094,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155090,c_116]) ).
tff(c_155071,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155064,c_110]) ).
tff(c_155101,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_155094,c_155071,c_154794,c_10]) ).
tff(c_155070,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155064,c_162]) ).
tff(c_155079,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151573,c_155070,c_20]) ).
tff(c_155080,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_155079]) ).
tff(c_155085,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155080,c_160]) ).
tff(c_155123,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_155124,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_155085,c_155123]) ).
tff(c_155133,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_155124,c_36]) ).
tff(c_155134,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_155133]) ).
tff(c_155084,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155080,c_122]) ).
tff(c_155112,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_155084,c_151572,c_18]) ).
tff(c_155113,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_155112]) ).
tff(c_155146,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_155080,c_155113,c_68]) ).
tff(c_155147,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_155146]) ).
tff(c_155151,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155147,c_192]) ).
tff(c_155165,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_155151,c_32]) ).
tff(c_155261,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155101,c_155134,c_155113,c_154790,c_155090,c_155080,c_154779,c_155165,c_412]) ).
tff(c_155262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_202,c_204,c_155261]) ).
tff(c_155263,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_155112]) ).
tff(c_155269,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155263,c_156]) ).
tff(c_155291,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_154765,c_154781,c_155269,c_26]) ).
tff(c_155295,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155291,c_140]) ).
tff(c_155303,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_155295,c_32]) ).
tff(c_155397,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155303,c_155291,c_155303,c_155101,c_155303,c_155291,c_155303,c_762]) ).
tff(c_155398,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_155079]) ).
tff(c_155402,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155398,c_130]) ).
tff(c_155607,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_155435,c_106938,c_155402,c_24]) ).
tff(c_155403,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155398,c_122]) ).
tff(c_155448,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151572,c_155403,c_18]) ).
tff(c_155449,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_155448]) ).
tff(c_155452,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155449,c_148]) ).
tff(c_155462,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_155452,c_106936,c_140078,c_2]) ).
tff(c_155467,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155462,c_152]) ).
tff(c_155496,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154766,c_154779,c_84]) ).
tff(c_155497,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_155467,c_155496]) ).
tff(c_155523,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155497,c_154766,c_154779,c_88]) ).
tff(c_155524,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_155523]) ).
tff(c_155434,plain,
op(e2,e0) = e0,
inference(splitRight,[status(thm)],[c_155411]) ).
tff(c_155439,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155434,c_116]) ).
tff(c_155506,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_155439,c_155071,c_154794,c_10]) ).
tff(c_155593,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155497,c_155524,c_155497,c_155506,c_155524,c_155497,c_155497,c_762]) ).
tff(c_155594,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_155448]) ).
tff(c_155599,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155594,c_128]) ).
tff(c_155617,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155607,c_155599]) ).
tff(c_155618,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_154778]) ).
tff(c_155624,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155618,c_154]) ).
tff(c_155649,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_155638,c_155624,c_10]) ).
tff(c_155650,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_155649]) ).
tff(c_155666,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155650,c_116]) ).
tff(c_155673,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_154772,c_151574,c_140075,c_14]) ).
tff(c_155677,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155673,c_120]) ).
tff(c_155711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155634,c_106937,c_155666,c_155677,c_16]) ).
tff(c_155712,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_155649]) ).
tff(c_155728,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155712,c_112]) ).
tff(c_155759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154772,c_151574,c_140075,c_155728,c_14]) ).
tff(c_155760,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_155762,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_155760]) ).
tff(c_155768,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155762,c_114]) ).
tff(c_155785,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155774,c_155768]) ).
tff(c_155786,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_155760]) ).
tff(c_155788,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_155786]) ).
tff(c_155801,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155788,c_64]) ).
tff(c_155802,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_154772,c_204,c_155801]) ).
tff(c_155803,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_155802]) ).
tff(c_155807,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155803,c_186]) ).
tff(c_156063,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_156064,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_156063]) ).
tff(c_156065,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_156064]) ).
tff(c_156068,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156065,c_160]) ).
tff(c_155861,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_155862,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_155861]) ).
tff(c_155863,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_155862]) ).
tff(c_155805,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155803,c_116]) ).
tff(c_155817,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_155805,c_155624,c_10]) ).
tff(c_155818,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_155817]) ).
tff(c_155822,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155818,c_150]) ).
tff(c_155830,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_68]) ).
tff(c_155831,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_155830]) ).
tff(c_155832,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_155831]) ).
tff(c_155835,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155832,c_128]) ).
tff(c_155923,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_151572,c_155822,c_155835,c_18]) ).
tff(c_155842,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_154772,c_151574,c_140075,c_14]) ).
tff(c_155907,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155832,c_151567,c_72]) ).
tff(c_155908,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_155822,c_155907]) ).
tff(c_155837,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155832,c_192]) ).
tff(c_155850,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154766,c_155618,c_84]) ).
tff(c_155851,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_155837,c_200,c_196,c_155850]) ).
tff(c_155873,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_155837,c_32]) ).
tff(c_155995,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155803,c_155863,c_155923,c_155842,c_155788,c_155908,c_155851,c_155873,c_412]) ).
tff(c_155996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_198,c_200,c_155995]) ).
tff(c_155998,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_155862]) ).
tff(c_155856,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155851,c_164]) ).
tff(c_156034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155998,c_106935,c_140077,c_155856,c_4]) ).
tff(c_156035,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_155831]) ).
tff(c_156037,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_156035]) ).
tff(c_156089,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_156037,c_80]) ).
tff(c_156090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155807,c_204,c_156068,c_200,c_156089]) ).
tff(c_156091,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_156064]) ).
tff(c_156036,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_155831]) ).
tff(c_156132,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_155807,c_106938,c_156036,c_24]) ).
tff(c_156213,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156091,c_106931,c_156091,c_156132,c_156091,c_106931,c_156091,c_720]) ).
tff(c_156214,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_156035]) ).
tff(c_156248,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_140070,c_48]) ).
tff(c_156249,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_156248]) ).
tff(c_156250,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_156249]) ).
tff(c_156220,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156214,c_168]) ).
tff(c_156225,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_32]) ).
tff(c_156226,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_156225]) ).
tff(c_156235,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156226,c_154766,c_155618,c_84]) ).
tff(c_156236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_156220,c_196,c_156235]) ).
tff(c_156237,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_156225]) ).
tff(c_156272,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156237,c_154766,c_155618,c_88]) ).
tff(c_156273,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_156272]) ).
tff(c_156215,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_156035]) ).
tff(c_156260,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_151572,c_155822,c_156215,c_18]) ).
tff(c_156307,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_156214,c_156260,c_72]) ).
tff(c_156308,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_156307]) ).
tff(c_156392,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156214,c_140070,c_156250,c_155818,c_156273,c_156308,c_156308,c_154766,c_490]) ).
tff(c_156393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_202,c_198,c_156392]) ).
tff(c_156394,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_156249]) ).
tff(c_156398,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156394,c_148]) ).
tff(c_156426,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156398,c_151572,c_155822,c_156215,c_18]) ).
tff(c_156427,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_155817]) ).
tff(c_156433,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156427,c_112]) ).
tff(c_156448,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156439,c_156433]) ).
tff(c_156450,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_155802]) ).
tff(c_156460,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154766,c_155618,c_88]) ).
tff(c_156461,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_156460]) ).
tff(c_156462,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_156461]) ).
tff(c_156467,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156462,c_190]) ).
tff(c_156514,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_156450,c_106937,c_156467,c_16]) ).
tff(c_156518,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156514,c_120]) ).
tff(c_156577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154772,c_151574,c_140075,c_156518,c_14]) ).
tff(c_156579,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_156461]) ).
tff(c_156701,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_156579,c_32]) ).
tff(c_156679,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156450,c_106937,c_16]) ).
tff(c_156680,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_156679]) ).
tff(c_156684,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156680,c_186]) ).
tff(c_156578,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_156461]) ).
tff(c_156583,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156578,c_168]) ).
tff(c_156589,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151573,c_20]) ).
tff(c_156590,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_156589]) ).
tff(c_156592,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156590,c_130]) ).
tff(c_156600,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156450,c_106937,c_16]) ).
tff(c_156601,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_156600]) ).
tff(c_156605,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156601,c_186]) ).
tff(c_156627,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_156579,c_32]) ).
tff(c_156631,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156627,c_192]) ).
tff(c_156662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156592,c_106938,c_156605,c_156631,c_24]) ).
tff(c_156663,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_156600]) ).
tff(c_156667,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156663,c_120]) ).
tff(c_156675,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154766,c_151567,c_140070,c_66]) ).
tff(c_156676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_156667,c_194,c_156675]) ).
tff(c_156677,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_156589]) ).
tff(c_156690,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_156583,c_156677]) ).
tff(c_156710,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151567,c_156690,c_72]) ).
tff(c_156711,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_156684,c_198,c_194,c_156710]) ).
tff(c_156823,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156701,c_155618,c_156701,c_156711,c_156701,c_155618,c_156701,c_758]) ).
tff(c_156824,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_156679]) ).
tff(c_156830,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156824,c_190]) ).
tff(c_156847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_156579,c_156830,c_32]) ).
tff(c_156848,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_155786]) ).
tff(c_156857,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156848,c_110]) ).
tff(c_156863,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_155624,c_156857,c_10]) ).
tff(c_156864,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_156863]) ).
tff(c_156947,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156877,c_156848,c_156864,c_60]) ).
tff(c_156948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106937,c_196,c_198,c_204,c_156947]) ).
tff(c_156949,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_156863]) ).
tff(c_156955,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156949,c_112]) ).
tff(c_156998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154772,c_151574,c_140075,c_156955,c_14]) ).
tff(c_156999,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_154764]) ).
tff(c_157006,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156999,c_164]) ).
tff(c_157011,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_157012,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_157011,c_146]) ).
tff(c_157038,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157011,c_34]) ).
tff(c_157039,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_157038]) ).
tff(c_157040,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_157039]) ).
tff(c_157044,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157040,c_152]) ).
tff(c_157076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157012,c_106936,c_140078,c_157044,c_2]) ).
tff(c_157077,plain,
( ( op(e1,e3) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_157039]) ).
tff(c_157079,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_157077]) ).
tff(c_157085,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157079,c_98]) ).
tff(c_157125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157006,c_106935,c_140077,c_157085,c_4]) ).
tff(c_157127,plain,
op(e3,e3) != e3,
inference(splitRight,[status(thm)],[c_157077]) ).
tff(c_157175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157012,c_106936,c_140078,c_157127,c_2]) ).
tff(c_157176,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_157178,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_157176]) ).
tff(c_157180,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157178,c_146]) ).
tff(c_157202,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_94]) ).
tff(c_157203,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_153986,c_204,c_157202]) ).
tff(c_157204,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_157203]) ).
tff(c_157218,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_157204,c_186]) ).
tff(c_157184,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157178,c_116]) ).
tff(c_157292,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_157218,c_106937,c_157184,c_16]) ).
tff(c_157297,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157292,c_190]) ).
tff(c_157182,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157178,c_154]) ).
tff(c_157224,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_154765,c_157182,c_26]) ).
tff(c_157225,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_157224]) ).
tff(c_157255,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156999,c_157225,c_84]) ).
tff(c_157256,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_157255]) ).
tff(c_157257,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_157256]) ).
tff(c_157266,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157257,c_156999,c_157225,c_88]) ).
tff(c_157267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_140076,c_202,c_198,c_157266]) ).
tff(c_157268,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_157256]) ).
tff(c_157302,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157268,c_156999,c_157225,c_88]) ).
tff(c_157303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157297,c_194,c_202,c_198,c_157302]) ).
tff(c_157304,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_157224]) ).
tff(c_157190,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106936,c_140078,c_2]) ).
tff(c_157191,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_157190]) ).
tff(c_157318,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157304,c_157178,c_157191,c_42]) ).
tff(c_157319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_151572,c_196,c_204,c_157318]) ).
tff(c_157320,plain,
op(e2,e0) = e0,
inference(splitRight,[status(thm)],[c_157203]) ).
tff(c_157325,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_157320,c_120]) ).
tff(c_157183,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157178,c_112]) ).
tff(c_157356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157325,c_151574,c_140075,c_157183,c_14]) ).
tff(c_157357,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_157190]) ).
tff(c_157371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157180,c_157357]) ).
tff(c_157372,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_157176]) ).
tff(c_157374,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_157372]) ).
tff(c_157379,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157374,c_154]) ).
tff(c_157398,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156999,c_88]) ).
tff(c_157399,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_140076,c_202,c_157398]) ).
tff(c_157400,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_157399]) ).
tff(c_157561,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157400,c_156999,c_92]) ).
tff(c_157562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_151575,c_204,c_157379,c_157561]) ).
tff(c_157563,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_157399]) ).
tff(c_157620,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156999,c_157563,c_92]) ).
tff(c_157621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106939,c_151575,c_204,c_198,c_157620]) ).
tff(c_157622,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_157372]) ).
tff(c_157627,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157622,c_150]) ).
tff(c_157649,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157622,c_34]) ).
tff(c_157650,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_157649]) ).
tff(c_157651,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_157650]) ).
tff(c_157657,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157651,c_156]) ).
tff(c_157679,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_151572,c_157627,c_157657,c_18]) ).
tff(c_157683,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_157679,c_148]) ).
tff(c_157656,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157651,c_152]) ).
tff(c_157689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157683,c_106936,c_140078,c_157656,c_2]) ).
tff(c_157690,plain,
( ( op(e1,e3) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_157650]) ).
tff(c_157692,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_157690]) ).
tff(c_157697,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157692,c_98]) ).
tff(c_157783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157006,c_106935,c_140077,c_157697,c_4]) ).
tff(c_157784,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_157690]) ).
tff(c_157789,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157784,c_128]) ).
tff(c_158001,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_153986,c_106939,c_32]) ).
tff(c_158002,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_158001]) ).
tff(c_157004,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156999,c_166]) ).
tff(c_157631,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157622,c_110]) ).
tff(c_157797,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_157004,c_157631,c_12]) ).
tff(c_157798,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_157797]) ).
tff(c_157821,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_151574,c_140075,c_14]) ).
tff(c_157822,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_157821]) ).
tff(c_157630,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157622,c_116]) ).
tff(c_157825,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_157822,c_120]) ).
tff(c_157831,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106931,c_94]) ).
tff(c_157832,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_153986,c_157825,c_204,c_157831]) ).
tff(c_157844,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157832,c_106931,c_86]) ).
tff(c_157845,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_157630,c_198,c_157844]) ).
tff(c_157628,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157622,c_154]) ).
tff(c_157691,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_157650]) ).
tff(c_157808,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_154765,c_157628,c_157691,c_26]) ).
tff(c_157900,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157845,c_156999,c_157808,c_84]) ).
tff(c_157901,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_157900]) ).
tff(c_157974,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_157798,c_157822,c_157798,c_157901,c_157822,c_157798,c_157798,c_730]) ).
tff(c_157975,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_157821]) ).
tff(c_157986,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157975,c_157798,c_157622,c_64]) ).
tff(c_157987,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_157986]) ).
tff(c_158049,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158002,c_157987,c_106931,c_82]) ).
tff(c_158050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_157789,c_200,c_196,c_158049]) ).
tff(c_158051,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_158001]) ).
tff(c_158088,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158051,c_156999,c_157808,c_88]) ).
tff(c_158089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_140076,c_202,c_198,c_158088]) ).
tff(c_158090,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_157797]) ).
tff(c_158096,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158090,c_114]) ).
tff(c_158102,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_151574,c_140075,c_158096,c_14]) ).
tff(c_158106,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158102,c_120]) ).
tff(c_158095,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158090,c_118]) ).
tff(c_158134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158106,c_106937,c_157630,c_158095,c_16]) ).
tff(c_158135,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_106929]) ).
tff(c_158144,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_188]) ).
tff(c_158150,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_158155,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_192]) ).
tff(c_158143,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_184]) ).
tff(c_169204,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_24]) ).
tff(c_169205,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_169204]) ).
tff(c_169440,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_169205,c_128]) ).
tff(c_158152,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_140]) ).
tff(c_169191,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_92]) ).
tff(c_169192,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_169191]) ).
tff(c_169193,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_169192]) ).
tff(c_169195,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_169193,c_136]) ).
tff(c_158156,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_190]) ).
tff(c_164856,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158135,c_90]) ).
tff(c_164857,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_164856]) ).
tff(c_164858,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_164857]) ).
tff(c_164864,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164858,c_186]) ).
tff(c_158142,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_182]) ).
tff(c_158161,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_158162,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158161,c_146]) ).
tff(c_158154,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_144]) ).
tff(c_158165,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158161,c_112]) ).
tff(c_158163,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158161,c_150]) ).
tff(c_162323,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_84]) ).
tff(c_162324,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_162323]) ).
tff(c_162325,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_162324]) ).
tff(c_162330,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162325,c_176]) ).
tff(c_158172,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_24]) ).
tff(c_158173,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_158172]) ).
tff(c_158177,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158173,c_128]) ).
tff(c_158179,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158173,c_186]) ).
tff(c_158404,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158179,c_158142,c_16]) ).
tff(c_158167,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158161,c_110]) ).
tff(c_158341,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158167,c_12]) ).
tff(c_158342,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_158341]) ).
tff(c_158344,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158342,c_158]) ).
tff(c_158140,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_106]) ).
tff(c_158176,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158173,c_132]) ).
tff(c_158184,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158176,c_22]) ).
tff(c_158185,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_158184]) ).
tff(c_158190,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158185,c_172]) ).
tff(c_158141,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_104]) ).
tff(c_158210,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158162,c_158141,c_2]) ).
tff(c_158211,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_158210]) ).
tff(c_158216,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158211,c_100]) ).
tff(c_158139,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_108]) ).
tff(c_158198,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_84]) ).
tff(c_158199,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_158198]) ).
tff(c_158200,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_158199]) ).
tff(c_158204,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158200,c_176]) ).
tff(c_158291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158190,c_158216,c_158139,c_158204,c_6]) ).
tff(c_158292,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_158210]) ).
tff(c_158327,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158292,c_98]) ).
tff(c_158355,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_158344,c_158140,c_158327,c_4]) ).
tff(c_158294,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158173,c_158185,c_72]) ).
tff(c_158295,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_158294]) ).
tff(c_158296,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_158295]) ).
tff(c_158299,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158296,c_122]) ).
tff(c_158310,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158292,c_148]) ).
tff(c_158318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158163,c_158177,c_158299,c_158310,c_18]) ).
tff(c_158319,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_158295]) ).
tff(c_158336,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158319,c_156]) ).
tff(c_158366,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158200,c_88]) ).
tff(c_158367,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_158336,c_158366]) ).
tff(c_158395,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158200,c_158367,c_92]) ).
tff(c_158396,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_158395]) ).
tff(c_158516,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158404,c_158355,c_158396,c_158404,c_158200,c_158173,c_158342,c_158367,c_456]) ).
tff(c_158517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_198,c_158516]) ).
tff(c_158518,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_158341]) ).
tff(c_158520,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_158518]) ).
tff(c_158524,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158520,c_118]) ).
tff(c_158581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158179,c_158142,c_158524,c_16]) ).
tff(c_158582,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_158518]) ).
tff(c_158590,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158582,c_166]) ).
tff(c_158637,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158200,c_88]) ).
tff(c_158638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_158590,c_158336,c_158637]) ).
tff(c_158639,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_158199]) ).
tff(c_158641,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_158639]) ).
tff(c_158646,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158641,c_156]) ).
tff(c_158805,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158163,c_158177,c_158646,c_18]) ).
tff(c_158767,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158190,c_158139,c_6]) ).
tff(c_158768,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_158767]) ).
tff(c_158773,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158768,c_100]) ).
tff(c_158645,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158641,c_152]) ).
tff(c_158792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158162,c_158773,c_158141,c_158645,c_2]) ).
tff(c_158793,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_158767]) ).
tff(c_158924,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158179,c_158142,c_16]) ).
tff(c_158651,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158641,c_88]) ).
tff(c_158652,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_158651]) ).
tff(c_158653,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_158652]) ).
tff(c_158188,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158185,c_126]) ).
tff(c_158178,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158173,c_130]) ).
tff(c_158693,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158163,c_158177,c_158646,c_18]) ).
tff(c_158698,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158693,c_122]) ).
tff(c_158663,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158167,c_12]) ).
tff(c_158664,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_158663]) ).
tff(c_158669,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158664,c_166]) ).
tff(c_158677,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158653,c_158641,c_92]) ).
tff(c_158678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_158669,c_196,c_158677]) ).
tff(c_158679,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_158663]) ).
tff(c_158681,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_158679]) ).
tff(c_158686,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158681,c_162]) ).
tff(c_158752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158188,c_158178,c_158698,c_158686,c_20]) ).
tff(c_158753,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_158679]) ).
tff(c_158760,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158753,c_162]) ).
tff(c_158881,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_158188,c_158178,c_158760,c_20]) ).
tff(c_158998,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158805,c_158793,c_158641,c_158924,c_158653,c_158173,c_158881,c_158653,c_586]) ).
tff(c_158999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_202,c_196,c_158998]) ).
tff(c_159000,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_158652]) ).
tff(c_159006,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159000,c_168]) ).
tff(c_159012,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158173,c_158185,c_72]) ).
tff(c_159013,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_159006,c_159012]) ).
tff(c_159001,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_158652]) ).
tff(c_158640,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_158199]) ).
tff(c_159047,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_158154,c_159001,c_158640,c_30]) ).
tff(c_159051,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159047,c_176]) ).
tff(c_159057,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_158190,c_159051,c_158139,c_6]) ).
tff(c_159102,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158173,c_158185,c_159013,c_68]) ).
tff(c_159103,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_159102]) ).
tff(c_159195,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159013,c_159057,c_158135,c_158161,c_158161,c_159103,c_158185,c_159047,c_474]) ).
tff(c_159196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_204,c_159195]) ).
tff(c_159198,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_158639]) ).
tff(c_159197,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_158639]) ).
tff(c_159237,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158179,c_158142,c_16]) ).
tff(c_159204,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159197,c_164]) ).
tff(c_159223,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_159204,c_4]) ).
tff(c_159224,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_159223]) ).
tff(c_159209,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158185,c_74]) ).
tff(c_159210,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_159209]) ).
tff(c_159211,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_159210]) ).
tff(c_159299,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_159211,c_159197,c_88]) ).
tff(c_159300,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_159299]) ).
tff(c_159215,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159211,c_176]) ).
tff(c_159247,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_158190,c_159215,c_158139,c_6]) ).
tff(c_159252,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159247,c_100]) ).
tff(c_159290,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_158162,c_158141,c_159252,c_2]) ).
tff(c_159259,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158163,c_158177,c_18]) ).
tff(c_159260,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_159259]) ).
tff(c_159265,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159260,c_156]) ).
tff(c_159270,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_159211,c_159197,c_88]) ).
tff(c_159271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_159265,c_159270]) ).
tff(c_159272,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_159259]) ).
tff(c_159416,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159237,c_159224,c_159300,c_159237,c_159290,c_159272,c_159224,c_159300,c_430]) ).
tff(c_159417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_196,c_200,c_159416]) ).
tff(c_159418,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_159223]) ).
tff(c_159454,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159197,c_159418,c_62]) ).
tff(c_159455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_158188,c_158167,c_204,c_159454]) ).
tff(c_159457,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_159210]) ).
tff(c_159526,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_159197,c_88]) ).
tff(c_159527,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_159526]) ).
tff(c_159528,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_159527]) ).
tff(c_159533,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159528,c_178]) ).
tff(c_159516,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158179,c_158142,c_16]) ).
tff(c_159456,plain,
( ( op(e2,e1) = e1 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_159210]) ).
tff(c_159458,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_159456]) ).
tff(c_159486,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159458,c_170]) ).
tff(c_159540,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159516,c_158161,c_60]) ).
tff(c_159541,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_159486,c_204,c_159540]) ).
tff(c_159550,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159516,c_159541,c_158161,c_56]) ).
tff(c_159551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_159533,c_198,c_202,c_159550]) ).
tff(c_159552,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_159527]) ).
tff(c_159608,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_159197,c_159552,c_92]) ).
tff(c_159609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_159457,c_196,c_198,c_159608]) ).
tff(c_159610,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_159456]) ).
tff(c_159616,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159610,c_114]) ).
tff(c_159633,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158173,c_158185,c_72]) ).
tff(c_159634,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_159633]) ).
tff(c_159635,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_159634]) ).
tff(c_159640,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159635,c_162]) ).
tff(c_159202,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159197,c_166]) ).
tff(c_159657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158167,c_159616,c_159640,c_159202,c_12]) ).
tff(c_159658,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_159634]) ).
tff(c_159613,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159610,c_170]) ).
tff(c_159692,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_158190,c_159613,c_158139,c_6]) ).
tff(c_159696,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159692,c_100]) ).
tff(c_159705,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_158162,c_158141,c_159696,c_2]) ).
tff(c_159720,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159658,c_158161,c_159705,c_34]) ).
tff(c_159721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159198,c_194,c_200,c_196,c_159720]) ).
tff(c_159722,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_158184]) ).
tff(c_161140,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_159722]) ).
tff(c_161143,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161140,c_124]) ).
tff(c_161240,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158163,c_158177,c_161143,c_18]) ).
tff(c_161352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_161140,c_161240,c_161140,c_158161,c_161240,c_161140,c_161140,c_764]) ).
tff(c_161353,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_159722]) ).
tff(c_161358,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161353,c_124]) ).
tff(c_160396,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_159722]) ).
tff(c_160426,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160396,c_124]) ).
tff(c_160456,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158163,c_158177,c_160426,c_18]) ).
tff(c_160611,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_160396,c_160456,c_160396,c_158161,c_160456,c_160396,c_160396,c_764]) ).
tff(c_160612,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_159722]) ).
tff(c_160617,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160612,c_124]) ).
tff(c_159724,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_4]) ).
tff(c_159725,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_159724]) ).
tff(c_159730,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159725,c_102]) ).
tff(c_160211,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_159730,c_158139,c_6]) ).
tff(c_160212,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_160211]) ).
tff(c_160215,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_160212,c_170]) ).
tff(c_159728,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159725,c_160]) ).
tff(c_159748,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158179,c_158142,c_16]) ).
tff(c_159752,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159748,c_118]) ).
tff(c_159795,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158167,c_159752,c_12]) ).
tff(c_159796,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_159795]) ).
tff(c_159801,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159796,c_114]) ).
tff(c_159736,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_159722]) ).
tff(c_159742,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159736,c_172]) ).
tff(c_159806,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_159730,c_158139,c_159742,c_6]) ).
tff(c_159811,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159806,c_176]) ).
tff(c_159743,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159736,c_180]) ).
tff(c_159816,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_158154,c_159811,c_159743,c_30]) ).
tff(c_159822,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159816,c_178]) ).
tff(c_159741,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159736,c_174]) ).
tff(c_159838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158165,c_159801,c_159822,c_159741,c_14]) ).
tff(c_159839,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_159795]) ).
tff(c_159846,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159839,c_162]) ).
tff(c_159740,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159736,c_126]) ).
tff(c_159886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159728,c_158178,c_159846,c_159740,c_20]) ).
tff(c_159887,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_159722]) ).
tff(c_159893,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159887,c_174]) ).
tff(c_160258,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158179,c_158142,c_16]) ).
tff(c_160262,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160258,c_120]) ).
tff(c_160312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158165,c_160215,c_159893,c_160262,c_14]) ).
tff(c_160313,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_160211]) ).
tff(c_160318,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160313,c_176]) ).
tff(c_159891,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159887,c_124]) ).
tff(c_159892,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159887,c_126]) ).
tff(c_160138,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_92]) ).
tff(c_160139,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_160138]) ).
tff(c_160140,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_160139]) ).
tff(c_160153,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_160140,c_84]) ).
tff(c_160154,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_160153]) ).
tff(c_160155,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_160154]) ).
tff(c_160160,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160155,c_168]) ).
tff(c_160186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159728,c_158178,c_159892,c_160160,c_20]) ).
tff(c_160187,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_160154]) ).
tff(c_160193,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160187,c_156]) ).
tff(c_160208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158163,c_158177,c_159891,c_160193,c_18]) ).
tff(c_160209,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_160139]) ).
tff(c_160334,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_160209]) ).
tff(c_160338,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_160334,c_152]) ).
tff(c_160319,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160313,c_100]) ).
tff(c_160344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158162,c_160338,c_158141,c_160319,c_2]) ).
tff(c_160345,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_160209]) ).
tff(c_159895,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159887,c_180]) ).
tff(c_160356,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_160345,c_88]) ).
tff(c_160357,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_159895,c_198,c_160356]) ).
tff(c_160378,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_160345,c_160357,c_84]) ).
tff(c_160379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_160318,c_196,c_194,c_160378]) ).
tff(c_160380,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_159724]) ).
tff(c_160384,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_160380]) ).
tff(c_160969,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158161,c_38]) ).
tff(c_160970,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_160617,c_202,c_158141,c_160969]) ).
tff(c_161014,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158179,c_158142,c_16]) ).
tff(c_160922,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158173,c_160612,c_80]) ).
tff(c_160923,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_158163,c_160922]) ).
tff(c_160619,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160612,c_174]) ).
tff(c_160389,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160384,c_164]) ).
tff(c_160894,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_158163,c_158177,c_160617,c_18]) ).
tff(c_160899,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160894,c_156]) ).
tff(c_160621,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160612,c_180]) ).
tff(c_160855,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_160621,c_30]) ).
tff(c_160856,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_160855]) ).
tff(c_160904,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_160856,c_84]) ).
tff(c_160905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_160389,c_160899,c_160904]) ).
tff(c_160906,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_160855]) ).
tff(c_160912,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160906,c_178]) ).
tff(c_160952,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_158165,c_160619,c_160912,c_14]) ).
tff(c_160935,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_160906,c_92]) ).
tff(c_160936,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_160935]) ).
tff(c_160937,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_160936]) ).
tff(c_448,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_161084,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158161,c_160384,c_160970,c_161014,c_160923,c_160612,c_160952,c_160937,c_448]) ).
tff(c_161085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_204,c_198,c_161084]) ).
tff(c_161086,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_160936]) ).
tff(c_161112,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161086,c_158161,c_38]) ).
tff(c_161113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_160617,c_202,c_158141,c_161112]) ).
tff(c_161114,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_160380]) ).
tff(c_161122,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161114,c_98]) ).
tff(c_161376,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_158162,c_161122,c_158141,c_2]) ).
tff(c_161380,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161376,c_148]) ).
tff(c_161404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158163,c_158177,c_161358,c_161380,c_18]) ).
tff(c_161405,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_158172]) ).
tff(c_161409,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161405,c_132]) ).
tff(c_161418,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_726,plain,
( ( op(op(e1,op(e1,e1)),op(e1,e1)) != e2 )
| ( op(e1,op(e1,e1)) != e3 )
| ( op(e1,e1) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_628]) ).
tff(c_161898,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_161418,c_161405,c_161418,c_158135,c_161405,c_161418,c_161418,c_726]) ).
tff(c_161899,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_161901,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_161409,c_161899]) ).
tff(c_161902,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_161901]) ).
tff(c_161906,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161902,c_126]) ).
tff(c_161411,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161405,c_130]) ).
tff(c_162082,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_161906,c_161411,c_20]) ).
tff(c_162083,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_162082]) ).
tff(c_162008,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_161405,c_158135,c_90]) ).
tff(c_162009,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_162008]) ).
tff(c_162014,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162009,c_120]) ).
tff(c_161907,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161902,c_174]) ).
tff(c_162013,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162009,c_118]) ).
tff(c_161909,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161902,c_180]) ).
tff(c_161412,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161405,c_186]) ).
tff(c_161961,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158142,c_161412,c_16]) ).
tff(c_161966,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161961,c_120]) ).
tff(c_161925,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_84]) ).
tff(c_161926,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_161925]) ).
tff(c_161927,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_161926]) ).
tff(c_161914,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158139,c_6]) ).
tff(c_161915,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_161914]) ).
tff(c_161971,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161927,c_161902,c_161915,c_74]) ).
tff(c_161972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_161966,c_204,c_161971]) ).
tff(c_161973,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_161926]) ).
tff(c_161975,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_161973]) ).
tff(c_161985,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_161975,c_88]) ).
tff(c_161986,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_161909,c_194,c_161985]) ).
tff(c_161990,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161986,c_166]) ).
tff(c_162030,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_158167,c_162013,c_161990,c_12]) ).
tff(c_162035,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162030,c_114]) ).
tff(c_162059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158165,c_162014,c_161907,c_162035,c_14]) ).
tff(c_162060,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_161973]) ).
tff(c_162241,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_161902,c_162083,c_161902,c_162060,c_162083,c_161902,c_161902,c_742]) ).
tff(c_162242,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_162082]) ).
tff(c_162248,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162242,c_122]) ).
tff(c_161905,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161902,c_124]) ).
tff(c_161410,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161405,c_128]) ).
tff(c_162320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158163,c_162248,c_161905,c_161410,c_18]) ).
tff(c_162321,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_161914]) ).
tff(c_162336,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_162330,c_162321]) ).
tff(c_162342,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162336,c_100]) ).
tff(c_162374,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_161906,c_161411,c_20]) ).
tff(c_162375,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_162374]) ).
tff(c_162379,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162375,c_160]) ).
tff(c_162341,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162336,c_102]) ).
tff(c_162423,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_162379,c_162341,c_158140,c_4]) ).
tff(c_162427,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162423,c_98]) ).
tff(c_162432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158162,c_162342,c_158141,c_162427,c_2]) ).
tff(c_162433,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_162374]) ).
tff(c_162437,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162433,c_122]) ).
tff(c_162447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158163,c_162437,c_161905,c_161410,c_18]) ).
tff(c_162448,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_162324]) ).
tff(c_162474,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_162448]) ).
tff(c_162484,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_162474,c_92]) ).
tff(c_162485,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_162484]) ).
tff(c_162486,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_162485]) ).
tff(c_162461,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_162321]) ).
tff(c_162502,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162486,c_161902,c_162461,c_78]) ).
tff(c_162503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_158165,c_200,c_162502]) ).
tff(c_162505,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_162485]) ).
tff(c_162449,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_162324]) ).
tff(c_162516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158154,c_162505,c_161909,c_162449,c_30]) ).
tff(c_162517,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_162321]) ).
tff(c_162522,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162517,c_176]) ).
tff(c_162542,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_162448]) ).
tff(c_162576,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_162542,c_88]) ).
tff(c_162577,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_161909,c_194,c_162576]) ).
tff(c_162586,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_162577,c_162542,c_92]) ).
tff(c_162587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_162522,c_198,c_196,c_162586]) ).
tff(c_162588,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_162448]) ).
tff(c_162611,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_162588,c_88]) ).
tff(c_162612,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_161909,c_194,c_162611]) ).
tff(c_162622,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_162588,c_162612,c_92]) ).
tff(c_162623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_162522,c_196,c_198,c_162622]) ).
tff(c_162624,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_161901]) ).
tff(c_162632,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162624,c_180]) ).
tff(c_163404,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_84]) ).
tff(c_163405,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_163404]) ).
tff(c_163406,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_163405]) ).
tff(c_163411,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163406,c_176]) ).
tff(c_162631,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162624,c_172]) ).
tff(c_162628,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162624,c_124]) ).
tff(c_162630,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162624,c_174]) ).
tff(c_162661,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_162632,c_30]) ).
tff(c_162662,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_162661]) ).
tff(c_162667,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162662,c_178]) ).
tff(c_162772,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_158165,c_162630,c_162667,c_14]) ).
tff(c_162638,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158139,c_6]) ).
tff(c_162639,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_162638]) ).
tff(c_162643,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162639,c_102]) ).
tff(c_162678,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_162662,c_84]) ).
tff(c_162679,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_162678]) ).
tff(c_162680,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_162679]) ).
tff(c_162686,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162680,c_164]) ).
tff(c_162702,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_162643,c_158140,c_162686,c_4]) ).
tff(c_162650,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_161405,c_158135,c_90]) ).
tff(c_162651,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_162650]) ).
tff(c_162691,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158163,c_162628,c_161410,c_18]) ).
tff(c_162665,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162662,c_136]) ).
tff(c_162683,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162680,c_134]) ).
tff(c_162719,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_158152,c_162665,c_162683,c_26]) ).
tff(c_162840,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162772,c_162702,c_162662,c_162651,c_162702,c_162691,c_162639,c_162719,c_430]) ).
tff(c_162841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_196,c_200,c_162840]) ).
tff(c_162842,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_162679]) ).
tff(c_162910,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158163,c_162628,c_161410,c_18]) ).
tff(c_162941,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162842,c_162910,c_158161,c_42]) ).
tff(c_162942,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_162941]) ).
tff(c_163016,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_162942,c_162639,c_162942,c_162662,c_162942,c_162639,c_162942,c_732]) ).
tff(c_163017,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_162661]) ).
tff(c_163022,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163017,c_138]) ).
tff(c_163064,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_163017,c_92]) ).
tff(c_163065,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_163064]) ).
tff(c_163066,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_163065]) ).
tff(c_163070,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163066,c_134]) ).
tff(c_163021,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163017,c_136]) ).
tff(c_163089,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158152,c_163070,c_163021,c_26]) ).
tff(c_163093,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163089,c_156]) ).
tff(c_163098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158163,c_162628,c_163093,c_161410,c_18]) ).
tff(c_163099,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_163065]) ).
tff(c_163104,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163099,c_152]) ).
tff(c_163121,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_158162,c_163104,c_158141,c_2]) ).
tff(c_163125,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163121,c_98]) ).
tff(c_162629,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162624,c_126]) ).
tff(c_163039,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_162629,c_161411,c_20]) ).
tff(c_163040,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_163039]) ).
tff(c_162655,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162651,c_118]) ).
tff(c_163053,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158167,c_162655,c_12]) ).
tff(c_163054,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_163053]) ).
tff(c_163138,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163040,c_163054,c_50]) ).
tff(c_163139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163022,c_200,c_194,c_163125,c_163138]) ).
tff(c_163140,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_163053]) ).
tff(c_163152,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158163,c_162628,c_161410,c_18]) ).
tff(c_163157,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163152,c_156]) ).
tff(c_163192,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_158152,c_163157,c_163021,c_26]) ).
tff(c_163281,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_163140,c_158161,c_163140,c_163192,c_163140,c_158161,c_163140,c_756]) ).
tff(c_163282,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_163039]) ).
tff(c_163286,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163282,c_122]) ).
tff(c_163318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158163,c_162628,c_163286,c_161410,c_18]) ).
tff(c_163319,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_162638]) ).
tff(c_163429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163411,c_162631,c_163319]) ).
tff(c_163431,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_163405]) ).
tff(c_163663,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_158154,c_162632,c_163431,c_30]) ).
tff(c_163430,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_163405]) ).
tff(c_163443,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_163430]) ).
tff(c_163466,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_163443,c_88]) ).
tff(c_163467,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_163466]) ).
tff(c_163468,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_163467]) ).
tff(c_163483,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163468,c_178]) ).
tff(c_163453,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_162631,c_163319]) ).
tff(c_163457,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163453,c_170]) ).
tff(c_163602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158165,c_162630,c_163483,c_163457,c_14]) ).
tff(c_163603,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_163467]) ).
tff(c_163624,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_163603,c_163443,c_92]) ).
tff(c_163625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_162632,c_198,c_196,c_163624]) ).
tff(c_163626,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_163430]) ).
tff(c_163673,plain,
( ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_163663,c_163626,c_92]) ).
tff(c_163674,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_163673]) ).
tff(c_163678,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163674,c_152]) ).
tff(c_163640,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_162631,c_163319]) ).
tff(c_163647,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163640,c_100]) ).
tff(c_163696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158162,c_163678,c_158141,c_163647,c_2]) ).
tff(c_163697,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_163699,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_163697]) ).
tff(c_163705,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163699,c_116]) ).
tff(c_165087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158156,c_164864,c_158142,c_163705,c_16]) ).
tff(c_165088,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_164857]) ).
tff(c_165093,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165088,c_118]) ).
tff(c_163706,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163699,c_110]) ).
tff(c_165624,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_165093,c_163706,c_12]) ).
tff(c_165625,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_165624]) ).
tff(c_165089,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_164857]) ).
tff(c_165685,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158155,c_165089,c_158143,c_24]) ).
tff(c_165803,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_165625,c_165088,c_165625,c_165685,c_165625,c_165088,c_165625,c_718]) ).
tff(c_165804,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_165624]) ).
tff(c_165808,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165804,c_162]) ).
tff(c_165817,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158155,c_165089,c_158143,c_24]) ).
tff(c_165828,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165817,c_72]) ).
tff(c_165829,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_165808,c_165828]) ).
tff(c_165830,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_165829]) ).
tff(c_163703,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163699,c_154]) ).
tff(c_163724,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158135,c_90]) ).
tff(c_163725,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_163724]) ).
tff(c_163726,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_163725]) ).
tff(c_163732,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163726,c_186]) ).
tff(c_164006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158156,c_163732,c_158142,c_163705,c_16]) ).
tff(c_164007,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_163725]) ).
tff(c_164012,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164007,c_118]) ).
tff(c_163711,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_84]) ).
tff(c_163712,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_163711]) ).
tff(c_163713,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_163712]) ).
tff(c_164019,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_163713,c_92]) ).
tff(c_164020,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_164019]) ).
tff(c_164021,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_164020]) ).
tff(c_164032,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_163713,c_164021,c_88]) ).
tff(c_164033,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_164032]) ).
tff(c_164038,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164033,c_156]) ).
tff(c_164008,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_163725]) ).
tff(c_164043,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158155,c_164008,c_158143,c_24]) ).
tff(c_164013,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164007,c_120]) ).
tff(c_164078,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163713,c_74]) ).
tff(c_164079,plain,
( ( op(e3,e1) = e1 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_164013,c_164078]) ).
tff(c_164080,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_164079]) ).
tff(c_164026,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164021,c_168]) ).
tff(c_164049,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164043,c_130]) ).
tff(c_164054,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164026,c_164049,c_20]) ).
tff(c_164055,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_164054]) ).
tff(c_164109,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164043,c_164080,c_164055,c_72]) ).
tff(c_164110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_164038,c_164109]) ).
tff(c_164111,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_164079]) ).
tff(c_164118,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164111,c_100]) ).
tff(c_163701,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163699,c_146]) ).
tff(c_164162,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_164118,c_158141,c_163701,c_2]) ).
tff(c_724,plain,
( ( op(op(e3,op(e3,e3)),op(e3,e3)) != e1 )
| ( op(e3,op(e3,e3)) != e2 )
| ( op(e3,e3) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_622]) ).
tff(c_164261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164162,c_158135,c_164162,c_164007,c_164162,c_158135,c_164162,c_724]) ).
tff(c_164262,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_164054]) ).
tff(c_164281,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164262,c_162]) ).
tff(c_164322,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_164012,c_164281,c_163706,c_12]) ).
tff(c_164440,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164322,c_164007,c_164322,c_164043,c_164322,c_164007,c_164322,c_718]) ).
tff(c_164441,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_164020]) ).
tff(c_164452,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_163713,c_164441,c_88]) ).
tff(c_164453,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_164452]) ).
tff(c_164456,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164453,c_166]) ).
tff(c_164731,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_164012,c_164456,c_163706,c_12]) ).
tff(c_164524,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158155,c_164008,c_158143,c_24]) ).
tff(c_164842,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164731,c_164007,c_164731,c_164524,c_164731,c_164007,c_164731,c_718]) ).
tff(c_164843,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_163712]) ).
tff(c_164845,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_163703,c_164843]) ).
tff(c_164851,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164845,c_164]) ).
tff(c_165100,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_164851,c_4]) ).
tff(c_165101,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_165100]) ).
tff(c_165105,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165101,c_160]) ).
tff(c_165122,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_165101,c_44]) ).
tff(c_165123,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_165122]) ).
tff(c_165124,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_165123]) ).
tff(c_165127,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165124,c_172]) ).
tff(c_165129,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165124,c_176]) ).
tff(c_165135,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163699,c_38]) ).
tff(c_165136,plain,
( ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_158141,c_165135]) ).
tff(c_165137,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_165136]) ).
tff(c_165140,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165137,c_136]) ).
tff(c_164844,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_163712]) ).
tff(c_165268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158154,c_165129,c_165140,c_164844,c_30]) ).
tff(c_165269,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_165136]) ).
tff(c_165274,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165269,c_124]) ).
tff(c_165281,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_165127,c_165274,c_22]) ).
tff(c_165282,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_165281]) ).
tff(c_165287,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165282,c_174]) ).
tff(c_165104,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165101,c_158]) ).
tff(c_165112,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_165104,c_165093,c_163706,c_12]) ).
tff(c_165295,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165088,c_165112,c_163699,c_64]) ).
tff(c_165296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_165287,c_202,c_200,c_165295]) ).
tff(c_165297,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_165281]) ).
tff(c_165324,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164845,c_165112,c_165101,c_58]) ).
tff(c_165325,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_165324]) ).
tff(c_165344,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165297,c_165325,c_165269,c_80]) ).
tff(c_165345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158155,c_200,c_204,c_202,c_165344]) ).
tff(c_165346,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_165123]) ).
tff(c_165351,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165346,c_148]) ).
tff(c_165116,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165112,c_162]) ).
tff(c_165358,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158155,c_165089,c_158143,c_24]) ).
tff(c_165362,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165358,c_132]) ).
tff(c_165369,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_165362,c_22]) ).
tff(c_165370,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_165369]) ).
tff(c_165381,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165358,c_165370,c_72]) ).
tff(c_165382,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_165116,c_165381]) ).
tff(c_165406,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165382,c_163699,c_165346,c_46]) ).
tff(c_165407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158152,c_202,c_200,c_204,c_165406]) ).
tff(c_165408,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_165369]) ).
tff(c_165410,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_165408]) ).
tff(c_165413,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165410,c_124]) ).
tff(c_163702,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163699,c_150]) ).
tff(c_165432,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_165351,c_165413,c_163702,c_18]) ).
tff(c_165444,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165432,c_163699,c_165346,c_38]) ).
tff(c_165445,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_165444]) ).
tff(c_165454,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_164845,c_165445,c_92]) ).
tff(c_165455,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_165454]) ).
tff(c_165572,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164845,c_158135,c_165346,c_163699,c_158135,c_165432,c_165410,c_165455,c_594]) ).
tff(c_165573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_198,c_165572]) ).
tff(c_165574,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_165408]) ).
tff(c_165579,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165574,c_126]) ).
tff(c_164850,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164845,c_168]) ).
tff(c_165610,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165105,c_165579,c_165116,c_164850,c_20]) ).
tff(c_165611,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_165100]) ).
tff(c_165616,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165611,c_160]) ).
tff(c_165876,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_165616,c_165808,c_164850,c_20]) ).
tff(c_166013,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_165830,c_165876,c_165830,c_164845,c_165876,c_165830,c_165830,c_742]) ).
tff(c_166014,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_165829]) ).
tff(c_166020,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166014,c_156]) ).
tff(c_166127,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_158152,c_166020,c_163703,c_26]) ).
tff(c_166136,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166127,c_166014,c_163699,c_46]) ).
tff(c_166137,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_166136]) ).
tff(c_166247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166137,c_158135,c_166137,c_165088,c_166137,c_158135,c_166137,c_724]) ).
tff(c_166248,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_163697]) ).
tff(c_166250,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_166248]) ).
tff(c_166257,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166250,c_116]) ).
tff(c_168976,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_16]) ).
tff(c_169031,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_168976,c_158135,c_90]) ).
tff(c_169032,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_169031]) ).
tff(c_166253,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166250,c_146]) ).
tff(c_166263,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_166253,c_158141,c_2]) ).
tff(c_166264,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_166263]) ).
tff(c_166269,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166264,c_100]) ).
tff(c_166287,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_166269,c_78]) ).
tff(c_166288,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_166287]) ).
tff(c_166291,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166288,c_126]) ).
tff(c_166275,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_24]) ).
tff(c_166276,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_166275]) ).
tff(c_166281,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166276,c_130]) ).
tff(c_166299,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166276,c_166288,c_72]) ).
tff(c_166300,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_166299]) ).
tff(c_166301,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_166300]) ).
tff(c_166351,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166276,c_166288,c_166301,c_68]) ).
tff(c_166352,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_166351]) ).
tff(c_166270,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166264,c_98]) ).
tff(c_166326,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_166270,c_158140,c_4]) ).
tff(c_166327,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_166326]) ).
tff(c_166332,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166327,c_102]) ).
tff(c_166337,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_166269,c_158139,c_6]) ).
tff(c_166338,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_166337]) ).
tff(c_166339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166332,c_166338]) ).
tff(c_166340,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_166337]) ).
tff(c_166316,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_16]) ).
tff(c_166258,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166250,c_110]) ).
tff(c_166306,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166301,c_162]) ).
tff(c_166320,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166316,c_118]) ).
tff(c_166361,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_166258,c_166306,c_166320,c_12]) ).
tff(c_166331,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166327,c_164]) ).
tff(c_166255,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166250,c_154]) ).
tff(c_166375,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_92]) ).
tff(c_166376,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_166331,c_166255,c_166375]) ).
tff(c_166505,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166352,c_166340,c_166316,c_166361,c_166264,c_166352,c_166288,c_166376,c_498]) ).
tff(c_166506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_204,c_166505]) ).
tff(c_166507,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_166326]) ).
tff(c_166513,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166507,c_102]) ).
tff(c_166533,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_166269,c_158139,c_166513,c_6]) ).
tff(c_166521,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_166258,c_166306,c_166320,c_12]) ).
tff(c_166554,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166276,c_166288,c_166301,c_68]) ).
tff(c_166555,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_166554]) ).
tff(c_166538,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166533,c_176]) ).
tff(c_166543,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_92]) ).
tff(c_166544,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_166538,c_166255,c_166543]) ).
tff(c_166566,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_166544,c_88]) ).
tff(c_166567,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_166566]) ).
tff(c_166568,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_166567]) ).
tff(c_166571,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166568,c_136]) ).
tff(c_166591,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166555,c_166250,c_166264,c_38]) ).
tff(c_166592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166571,c_194,c_198,c_202,c_166591]) ).
tff(c_166594,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_166567]) ).
tff(c_166629,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_158154,c_166538,c_166594,c_30]) ).
tff(c_166708,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166288,c_166533,c_166316,c_166521,c_166264,c_166555,c_166555,c_166629,c_498]) ).
tff(c_166709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_200,c_196,c_166708]) ).
tff(c_166711,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_166300]) ).
tff(c_166710,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_166300]) ).
tff(c_166732,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_92]) ).
tff(c_166733,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_166255,c_166732]) ).
tff(c_166734,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_166733]) ).
tff(c_166738,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166734,c_176]) ).
tff(c_166837,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_166269,c_166738,c_158139,c_6]) ).
tff(c_166722,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_16]) ).
tff(c_166726,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166722,c_118]) ).
tff(c_166809,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_166258,c_166726,c_12]) ).
tff(c_166810,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_166809]) ).
tff(c_166824,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_166291,c_166281,c_166711,c_20]) ).
tff(c_166715,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166710,c_156]) ).
tff(c_166756,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_166734,c_84]) ).
tff(c_166757,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_166756]) ).
tff(c_166758,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_166757]) ).
tff(c_166797,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_166734,c_166758,c_88]) ).
tff(c_166798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_166715,c_166797]) ).
tff(c_166799,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_166757]) ).
tff(c_166856,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_166734,c_166799,c_88]) ).
tff(c_166857,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_166856]) ).
tff(c_504,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e1,op(e3,e1)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_166951,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166710,c_166837,c_166722,c_166810,c_166250,c_166824,c_166810,c_166857,c_504]) ).
tff(c_166952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_198,c_202,c_166951]) ).
tff(c_166953,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_166809]) ).
tff(c_166958,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166953,c_166]) ).
tff(c_167000,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_166734,c_166799,c_88]) ).
tff(c_167001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_166958,c_194,c_167000]) ).
tff(c_167002,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_166733]) ).
tff(c_167009,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167002,c_164]) ).
tff(c_167014,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_166270,c_167009,c_158140,c_4]) ).
tff(c_167019,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167014,c_160]) ).
tff(c_167062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166291,c_166281,c_166711,c_167019,c_20]) ).
tff(c_167063,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_166287]) ).
tff(c_167070,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167063,c_114]) ).
tff(c_167066,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167063,c_174]) ).
tff(c_166267,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166264,c_148]) ).
tff(c_166254,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166250,c_150]) ).
tff(c_167515,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_166267,c_166254,c_18]) ).
tff(c_167516,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_167515]) ).
tff(c_167528,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166276,c_167516,c_68]) ).
tff(c_167529,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_167528]) ).
tff(c_167530,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_167529]) ).
tff(c_167764,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167530,c_167063,c_70]) ).
tff(c_167765,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_158139,c_167764]) ).
tff(c_166279,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166276,c_132]) ).
tff(c_167075,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166276,c_72]) ).
tff(c_167076,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_167075]) ).
tff(c_167077,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_167076]) ).
tff(c_167079,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167077,c_124]) ).
tff(c_167089,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_166267,c_166254,c_167079,c_18]) ).
tff(c_167094,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167089,c_156]) ).
tff(c_167080,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167077,c_126]) ).
tff(c_167093,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167089,c_122]) ).
tff(c_167113,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_166281,c_167080,c_167093,c_20]) ).
tff(c_167099,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_92]) ).
tff(c_167100,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_166255,c_167099]) ).
tff(c_167101,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_167100]) ).
tff(c_167124,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_167101,c_84]) ).
tff(c_167125,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_167094,c_167124]) ).
tff(c_167258,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_167077,c_167113,c_167077,c_167125,c_167113,c_167077,c_167077,c_742]) ).
tff(c_167259,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_167100]) ).
tff(c_167283,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_167259,c_84]) ).
tff(c_167284,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_167094,c_167283]) ).
tff(c_167289,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167284,c_176]) ).
tff(c_167323,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_166269,c_158139,c_167289,c_6]) ).
tff(c_167338,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158152,c_166255,c_167094,c_26]) ).
tff(c_167306,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_166276,c_158135,c_82]) ).
tff(c_167307,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_167306]) ).
tff(c_167273,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_166281,c_167080,c_167093,c_20]) ).
tff(c_167430,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167077,c_167323,c_167338,c_167307,c_167273,c_167077,c_167063,c_167259,c_576]) ).
tff(c_167431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_204,c_202,c_167430]) ).
tff(c_167433,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_167076]) ).
tff(c_167434,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_84]) ).
tff(c_167435,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_167434]) ).
tff(c_167436,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_167435]) ).
tff(c_167441,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167436,c_180]) ).
tff(c_167512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167066,c_166279,c_167433,c_167441,c_22]) ).
tff(c_167513,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_167435]) ).
tff(c_167541,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_167513]) ).
tff(c_167774,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_167765,c_167541,c_92]) ).
tff(c_167775,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_167774]) ).
tff(c_167780,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167775,c_164]) ).
tff(c_167551,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_167070,c_166258,c_12]) ).
tff(c_167552,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_167551]) ).
tff(c_167558,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167552,c_166]) ).
tff(c_167563,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_166270,c_158140,c_4]) ).
tff(c_167564,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_167563]) ).
tff(c_167568,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167564,c_164]) ).
tff(c_167574,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_167541,c_92]) ).
tff(c_167575,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_167568,c_196,c_167574]) ).
tff(c_167597,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_167575,c_167541,c_88]) ).
tff(c_167598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_167558,c_194,c_167597]) ).
tff(c_167599,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_167563]) ).
tff(c_167630,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_16]) ).
tff(c_167620,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_167541,c_88]) ).
tff(c_167621,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_167558,c_194,c_167620]) ).
tff(c_167638,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_167621,c_167541,c_92]) ).
tff(c_167639,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_167638]) ).
tff(c_167749,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166250,c_167599,c_167541,c_167630,c_167516,c_167530,c_167063,c_167639,c_448]) ).
tff(c_167750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_198,c_202,c_167749]) ).
tff(c_167751,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_167551]) ).
tff(c_167755,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167751,c_158]) ).
tff(c_167811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166270,c_167780,c_158140,c_167755,c_4]) ).
tff(c_167812,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_167513]) ).
tff(c_167819,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167812,c_164]) ).
tff(c_167839,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_166270,c_158140,c_167819,c_4]) ).
tff(c_167844,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167839,c_102]) ).
tff(c_167535,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167530,c_172]) ).
tff(c_167851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166269,c_167844,c_158139,c_167535,c_6]) ).
tff(c_167852,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_167529]) ).
tff(c_167914,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166276,c_167852,c_167516,c_80]) ).
tff(c_167915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_167066,c_200,c_202,c_167914]) ).
tff(c_167916,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_167515]) ).
tff(c_167432,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_167076]) ).
tff(c_167943,plain,
( ( op(e1,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167916,c_167432]) ).
tff(c_167944,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_167943]) ).
tff(c_167948,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167944,c_162]) ).
tff(c_167925,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167916,c_156]) ).
tff(c_167930,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_167925,c_167513]) ).
tff(c_167934,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167930,c_166]) ).
tff(c_167954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167070,c_166258,c_167948,c_167934,c_12]) ).
tff(c_167955,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_166275]) ).
tff(c_167962,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167955,c_186]) ).
tff(c_167981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_167962,c_16]) ).
tff(c_167982,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_166263]) ).
tff(c_168647,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167982,c_100]) ).
tff(c_168081,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167982,c_152]) ).
tff(c_167984,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158139,c_6]) ).
tff(c_167985,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_167984]) ).
tff(c_167988,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167985,c_170]) ).
tff(c_166256,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166250,c_112]) ).
tff(c_167996,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_88]) ).
tff(c_167997,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_167996]) ).
tff(c_167998,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_167997]) ).
tff(c_168002,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167998,c_178]) ).
tff(c_168040,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_16]) ).
tff(c_168045,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168040,c_120]) ).
tff(c_168074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167988,c_166256,c_168002,c_168045,c_14]) ).
tff(c_168076,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_167997]) ).
tff(c_168611,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_168076,c_30]) ).
tff(c_168612,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_168611]) ).
tff(c_167987,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167985,c_172]) ).
tff(c_168371,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_24]) ).
tff(c_168372,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_168371]) ).
tff(c_168375,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168372,c_132]) ).
tff(c_168384,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_168076,c_30]) ).
tff(c_168385,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_168384]) ).
tff(c_158153,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_142]) ).
tff(c_167990,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167985,c_102]) ).
tff(c_168082,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167982,c_98]) ).
tff(c_168109,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_167990,c_158140,c_168082,c_4]) ).
tff(c_168115,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168109,c_164]) ).
tff(c_168075,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_167997]) ).
tff(c_168099,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_168075]) ).
tff(c_168103,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168099,c_134]) ).
tff(c_168144,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_168099,c_84]) ).
tff(c_168145,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_168144]) ).
tff(c_168146,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_168145]) ).
tff(c_168149,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168146,c_138]) ).
tff(c_168178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158153,c_168115,c_168103,c_168149,c_28]) ).
tff(c_168179,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_168145]) ).
tff(c_168184,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168179,c_138]) ).
tff(c_168190,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_168076,c_30]) ).
tff(c_168191,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_168190]) ).
tff(c_168231,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_16]) ).
tff(c_168235,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168231,c_120]) ).
tff(c_168133,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158135,c_90]) ).
tff(c_168134,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_166257,c_198,c_168133]) ).
tff(c_168080,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167982,c_148]) ).
tff(c_168087,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_166254,c_168080,c_18]) ).
tff(c_168088,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_168087]) ).
tff(c_168220,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168134,c_168088,c_72]) ).
tff(c_168221,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_168220]) ).
tff(c_168222,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_168221]) ).
tff(c_168250,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168191,c_168222,c_167985,c_66]) ).
tff(c_168251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_168235,c_200,c_168250]) ).
tff(c_168253,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_168221]) ).
tff(c_168275,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168191,c_167985,c_70]) ).
tff(c_168276,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_168253,c_202,c_168275]) ).
tff(c_168289,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168191,c_168276,c_167985,c_66]) ).
tff(c_168290,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_168289]) ).
tff(c_168351,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168290,c_168088,c_168290,c_168099,c_168290,c_168088,c_168290,c_754]) ).
tff(c_168352,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_168190]) ).
tff(c_168356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168184,c_168352]) ).
tff(c_168357,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_168075]) ).
tff(c_168437,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_168385,c_168357,c_84]) ).
tff(c_168438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_168081,c_168437]) ).
tff(c_168439,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_168384]) ).
tff(c_168445,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168439,c_180]) ).
tff(c_168463,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_167987,c_168375,c_168445,c_22]) ).
tff(c_168468,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168463,c_174]) ).
tff(c_168444,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168439,c_178]) ).
tff(c_168491,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167988,c_166256,c_168468,c_168444,c_14]) ).
tff(c_168492,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_168371]) ).
tff(c_168498,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168492,c_186]) ).
tff(c_168550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_168498,c_16]) ).
tff(c_168551,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_168087]) ).
tff(c_168558,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168551,c_156]) ).
tff(c_168564,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_168558,c_168075]) ).
tff(c_168624,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_168612,c_168564,c_84]) ).
tff(c_168625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_168081,c_168624]) ).
tff(c_168626,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_168611]) ).
tff(c_168638,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_168626,c_168564,c_92]) ).
tff(c_168639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_166255,c_168638]) ).
tff(c_168640,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_167984]) ).
tff(c_168715,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_168647,c_168640]) ).
tff(c_168721,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168715,c_176]) ).
tff(c_168755,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_88]) ).
tff(c_168756,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_168755]) ).
tff(c_168757,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_168756]) ).
tff(c_168762,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168757,c_178]) ).
tff(c_168780,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_16]) ).
tff(c_168784,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168780,c_120]) ).
tff(c_168880,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_166256,c_168762,c_168784,c_14]) ).
tff(c_168884,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168880,c_174]) ).
tff(c_168719,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168715,c_172]) ).
tff(c_168763,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168757,c_180]) ).
tff(c_168790,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_168715,c_167982,c_48]) ).
tff(c_168791,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_168790]) ).
tff(c_168795,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168791,c_160]) ).
tff(c_168857,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_168780,c_158135,c_90]) ).
tff(c_168858,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_168857]) ).
tff(c_168863,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168858,c_130]) ).
tff(c_168653,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_166258,c_12]) ).
tff(c_168654,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_168653]) ).
tff(c_168656,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168654,c_158]) ).
tff(c_168665,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_168647,c_168640]) ).
tff(c_168711,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_168665,c_167982,c_48]) ).
tff(c_168712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_168656,c_200,c_168711]) ).
tff(c_168713,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_168653]) ).
tff(c_168727,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_168713]) ).
tff(c_168731,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168727,c_118]) ).
tff(c_168752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158156,c_166257,c_158142,c_168731,c_16]) ).
tff(c_168753,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_168713]) ).
tff(c_168772,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168753,c_162]) ).
tff(c_168870,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_168795,c_168863,c_168772,c_20]) ).
tff(c_168874,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168870,c_126]) ).
tff(c_168919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168884,c_168719,c_168763,c_168874,c_22]) ).
tff(c_168921,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_168756]) ).
tff(c_168981,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168976,c_186]) ).
tff(c_168645,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167982,c_148]) ).
tff(c_168934,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_166254,c_168645,c_18]) ).
tff(c_168935,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_168934]) ).
tff(c_168988,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168935,c_68]) ).
tff(c_168989,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_168981,c_200,c_168988]) ).
tff(c_168990,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_168989]) ).
tff(c_168996,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168990,c_180]) ).
tff(c_169019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158154,c_168721,c_168921,c_168996,c_30]) ).
tff(c_169020,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_168989]) ).
tff(c_169060,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169032,c_169020,c_168935,c_72]) ).
tff(c_169061,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_169060]) ).
tff(c_168722,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168715,c_102]) ).
tff(c_168648,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167982,c_98]) ).
tff(c_168956,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_168722,c_158140,c_168648,c_4]) ).
tff(c_169139,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_169061,c_169020,c_169061,c_168956,c_169061,c_169020,c_169061,c_752]) ).
tff(c_169140,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_168934]) ).
tff(c_169160,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169140,c_156]) ).
tff(c_168927,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168753,c_166]) ).
tff(c_168920,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_168756]) ).
tff(c_169175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169160,c_168927,c_168920]) ).
tff(c_169176,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_166248]) ).
tff(c_169182,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169176,c_154]) ).
tff(c_169607,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_169193,c_84]) ).
tff(c_169608,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_169607]) ).
tff(c_169609,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_169608]) ).
tff(c_169612,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169609,c_134]) ).
tff(c_169706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158152,c_169195,c_169182,c_169612,c_26]) ).
tff(c_169707,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_169608]) ).
tff(c_169197,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_169193,c_176]) ).
tff(c_169447,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_169197,c_158139,c_6]) ).
tff(c_169448,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_169447]) ).
tff(c_169452,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169448,c_170]) ).
tff(c_169198,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_169193,c_178]) ).
tff(c_169183,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169176,c_112]) ).
tff(c_169442,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_169205,c_186]) ).
tff(c_169495,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_169442,c_158142,c_16]) ).
tff(c_169500,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169495,c_120]) ).
tff(c_169565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169452,c_169198,c_169183,c_169500,c_14]) ).
tff(c_169566,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_169447]) ).
tff(c_169575,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169566,c_102]) ).
tff(c_169206,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_4]) ).
tff(c_169207,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_169206]) ).
tff(c_169220,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169207,c_160]) ).
tff(c_169212,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_169205,c_130]) ).
tff(c_169230,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_169193,c_88]) ).
tff(c_169231,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_169182,c_169230]) ).
tff(c_169236,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169231,c_168]) ).
tff(c_169273,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_169220,c_169212,c_169236,c_20]) ).
tff(c_169263,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_169193,c_169231,c_84]) ).
tff(c_169264,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_169263]) ).
tff(c_169223,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169207,c_98]) ).
tff(c_169241,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_169223,c_158141,c_2]) ).
tff(c_169242,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_169241]) ).
tff(c_169306,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169264,c_169176,c_169242,c_46]) ).
tff(c_169307,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_169306]) ).
tff(c_169344,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169205,c_169273,c_169307,c_72]) ).
tff(c_169345,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_169344]) ).
tff(c_169406,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_169345,c_169273,c_169345,c_169207,c_169345,c_169273,c_169345,c_752]) ).
tff(c_169407,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_169241]) ).
tff(c_169412,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169407,c_152]) ).
tff(c_169434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158152,c_169195,c_169182,c_169412,c_26]) ).
tff(c_169435,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_169206]) ).
tff(c_169583,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_169575,c_169435]) ).
tff(c_169590,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_169583,c_98]) ).
tff(c_169733,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169707,c_169176,c_46]) ).
tff(c_169734,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_169733]) ).
tff(c_169735,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_169734]) ).
tff(c_169756,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169707,c_169735,c_169176,c_42]) ).
tff(c_169757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_169590,c_169756]) ).
tff(c_169758,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_169734]) ).
tff(c_169770,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169707,c_169176,c_169758,c_42]) ).
tff(c_169771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_169440,c_198,c_204,c_169770]) ).
tff(c_169772,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_169204]) ).
tff(c_169785,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_169772,c_158135,c_90]) ).
tff(c_169786,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_169785]) ).
tff(c_169181,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169176,c_150]) ).
tff(c_169906,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169772,c_72]) ).
tff(c_169907,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_169181,c_169906]) ).
tff(c_169908,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_169907]) ).
tff(c_170194,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169772,c_169908,c_80]) ).
tff(c_170195,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_170194]) ).
tff(c_170196,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_170195]) ).
tff(c_170199,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170196,c_122]) ).
tff(c_169796,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_169193,c_84]) ).
tff(c_169797,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_169796]) ).
tff(c_169798,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_169797]) ).
tff(c_169892,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_169193,c_169798,c_88]) ).
tff(c_169893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_169182,c_169892]) ).
tff(c_169894,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_169797]) ).
tff(c_169900,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169894,c_152]) ).
tff(c_170211,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158141,c_169900,c_2]) ).
tff(c_170212,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_170211]) ).
tff(c_170321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170212,c_158135,c_170212,c_169786,c_170212,c_158135,c_170212,c_724]) ).
tff(c_170322,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_170211]) ).
tff(c_170351,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169894,c_169176,c_170322,c_46]) ).
tff(c_170352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_170199,c_202,c_204,c_170351]) ).
tff(c_170354,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_170195]) ).
tff(c_169912,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169908,c_126]) ).
tff(c_169778,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169772,c_130]) ).
tff(c_170363,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_170354,c_169912,c_169778,c_20]) ).
tff(c_170367,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170363,c_160]) ).
tff(c_169789,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_169786,c_118]) ).
tff(c_169185,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169176,c_110]) ).
tff(c_169927,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_169197,c_158139,c_6]) ).
tff(c_169928,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_169927]) ).
tff(c_169932,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169928,c_102]) ).
tff(c_169953,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169772,c_169908,c_80]) ).
tff(c_169954,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_169953]) ).
tff(c_169955,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_169954]) ).
tff(c_169958,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169955,c_122]) ).
tff(c_169933,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169928,c_100]) ).
tff(c_169996,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169894,c_169176,c_46]) ).
tff(c_169997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_169958,c_202,c_169933,c_169996]) ).
tff(c_169999,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_169954]) ).
tff(c_170008,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_169999,c_169912,c_169778,c_20]) ).
tff(c_170012,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170008,c_160]) ).
tff(c_170035,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_169932,c_170012,c_158140,c_4]) ).
tff(c_170039,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170035,c_158]) ).
tff(c_170058,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_169789,c_169185,c_170039,c_12]) ).
tff(c_170118,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170058,c_169786,c_170058,c_169772,c_170058,c_169786,c_170058,c_718]) ).
tff(c_170119,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_169927]) ).
tff(c_170124,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170119,c_102]) ).
tff(c_170386,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_170367,c_158140,c_170124,c_4]) ).
tff(c_170404,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169193,c_169908,c_170119,c_78]) ).
tff(c_170405,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_170404]) ).
tff(c_170483,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169786,c_170386,c_169772,c_170405,c_169894,c_169772,c_169908,c_169193,c_426]) ).
tff(c_170484,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_200,c_198,c_170483]) ).
tff(c_170485,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_169907]) ).
tff(c_170492,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_170485,c_168]) ).
tff(c_170538,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_169193,c_169894,c_88]) ).
tff(c_170539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_170492,c_194,c_170538]) ).
tff(c_170541,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_169192]) ).
tff(c_172958,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169176,c_52]) ).
tff(c_172959,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_172958]) ).
tff(c_172960,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_172959]) ).
tff(c_173140,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172960,c_186]) ).
tff(c_170540,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_169192]) ).
tff(c_170542,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_170540]) ).
tff(c_170545,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170542,c_134]) ).
tff(c_170553,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_4]) ).
tff(c_170554,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_170553]) ).
tff(c_170560,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170554,c_98]) ).
tff(c_170547,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170542,c_152]) ).
tff(c_170559,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170554,c_102]) ).
tff(c_170565,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_170559,c_78]) ).
tff(c_170566,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_170565]) ).
tff(c_170703,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170566,c_124]) ).
tff(c_170760,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170542,c_169176,c_46]) ).
tff(c_170761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_170703,c_202,c_170560,c_170760]) ).
tff(c_170763,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_170565]) ).
tff(c_170774,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_170559,c_158139,c_6]) ).
tff(c_170775,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_170774]) ).
tff(c_170778,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170775,c_172]) ).
tff(c_170556,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170554,c_158]) ).
tff(c_170795,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_170556,c_169185,c_12]) ).
tff(c_170796,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_170795]) ).
tff(c_170800,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170796,c_162]) ).
tff(c_170548,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170542,c_156]) ).
tff(c_170785,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_170541,c_30]) ).
tff(c_170786,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_170785]) ).
tff(c_170826,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_170786,c_170542,c_84]) ).
tff(c_170827,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_170826]) ).
tff(c_170799,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170796,c_118]) ).
tff(c_170836,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158156,c_170799,c_158142,c_16]) ).
tff(c_170808,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_24]) ).
tff(c_170809,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_170808]) ).
tff(c_170557,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170554,c_160]) ).
tff(c_170831,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170827,c_168]) ).
tff(c_170844,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_170557,c_170800,c_170831,c_20]) ).
tff(c_170968,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170827,c_158135,c_170542,c_170836,c_170786,c_170809,c_170844,c_170786,c_714]) ).
tff(c_170969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_198,c_170968]) ).
tff(c_170970,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_170808]) ).
tff(c_170983,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170970,c_76]) ).
tff(c_170984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_170778,c_170800,c_170548,c_170983]) ).
tff(c_170985,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_170795]) ).
tff(c_171004,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170985,c_166]) ).
tff(c_171046,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_170786,c_170542,c_84]) ).
tff(c_171047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_171004,c_196,c_171046]) ).
tff(c_171048,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_170785]) ).
tff(c_171053,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171048,c_180]) ).
tff(c_171297,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_170763,c_170778,c_171053,c_22]) ).
tff(c_171233,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158135,c_90]) ).
tff(c_171234,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_171233]) ).
tff(c_171235,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_171234]) ).
tff(c_171240,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_171235,c_130]) ).
tff(c_171213,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_171048,c_170542,c_88]) ).
tff(c_171214,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_171213]) ).
tff(c_171219,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_171214,c_168]) ).
tff(c_171120,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_170763,c_170778,c_171053,c_22]) ).
tff(c_171059,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_170556,c_169185,c_12]) ).
tff(c_171060,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_171059]) ).
tff(c_171064,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_171060,c_162]) ).
tff(c_171086,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_171048,c_170542,c_88]) ).
tff(c_171087,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_171086]) ).
tff(c_171091,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_171087,c_168]) ).
tff(c_171096,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_170557,c_171064,c_171091,c_20]) ).
tff(c_171210,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_171120,c_171096,c_171120,c_170554,c_171120,c_171096,c_171120,c_752]) ).
tff(c_171211,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_171059]) ).
tff(c_171227,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171211,c_162]) ).
tff(c_171246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170557,c_171240,c_171219,c_171227,c_20]) ).
tff(c_171247,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_171234]) ).
tff(c_170762,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_170565]) ).
tff(c_171282,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_170557,c_171219,c_171227,c_20]) ).
tff(c_171401,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171297,c_170775,c_171048,c_171247,c_170762,c_171282,c_171211,c_171214,c_568]) ).
tff(c_171402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_202,c_194,c_171401]) ).
tff(c_171403,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_170774]) ).
tff(c_171409,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171403,c_100]) ).
tff(c_171440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170560,c_170547,c_158141,c_171409,c_2]) ).
tff(c_171441,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_170553]) ).
tff(c_171443,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_171441]) ).
tff(c_171448,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171443,c_164]) ).
tff(c_171665,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158156,c_158142,c_16]) ).
tff(c_171666,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_171665]) ).
tff(c_171663,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_24]) ).
tff(c_171664,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_171663]) ).
tff(c_171672,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_171664,c_186]) ).
tff(c_171685,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_171666,c_171672]) ).
tff(c_171686,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_171665]) ).
tff(c_171450,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171443,c_98]) ).
tff(c_171601,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_170547,c_158141,c_171450,c_2]) ).
tff(c_171606,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171601,c_100]) ).
tff(c_171455,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_78]) ).
tff(c_171456,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_171455]) ).
tff(c_171459,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171456,c_126]) ).
tff(c_171458,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171456,c_124]) ).
tff(c_171447,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171443,c_160]) ).
tff(c_171483,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171456,c_68]) ).
tff(c_171484,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_171447,c_171483]) ).
tff(c_171485,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_171484]) ).
tff(c_171488,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171485,c_128]) ).
tff(c_171547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_171458,c_170548,c_169181,c_171488,c_18]) ).
tff(c_171549,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_171484]) ).
tff(c_171560,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_171549,c_24]) ).
tff(c_171564,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_171560,c_130]) ).
tff(c_171570,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_171459,c_171564,c_171447,c_20]) ).
tff(c_171582,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171570,c_171443,c_62]) ).
tff(c_171583,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_158153,c_202,c_200,c_171582]) ).
tff(c_171597,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171570,c_171583,c_171443,c_58]) ).
tff(c_171598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170545,c_198,c_204,c_196,c_171597]) ).
tff(c_171599,plain,
( ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_171455]) ).
tff(c_171611,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_171606,c_171599]) ).
tff(c_171721,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171686,c_171611,c_169176,c_60]) ).
tff(c_171722,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_171721]) ).
tff(c_171600,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_171455]) ).
tff(c_171622,plain,
( ( op(e3,e1) = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171611,c_74]) ).
tff(c_171623,plain,
( ( op(e3,e1) = e1 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_170541,c_204,c_171622]) ).
tff(c_171624,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_171623]) ).
tff(c_171629,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_171624,c_172]) ).
tff(c_171646,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_171443,c_171601,c_44]) ).
tff(c_171647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_171629,c_196,c_204,c_171646]) ).
tff(c_171649,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_171623]) ).
tff(c_171731,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_171600,c_171649,c_22]) ).
tff(c_171732,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_171731]) ).
tff(c_171648,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_171623]) ).
tff(c_171773,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171732,c_171611,c_171648,c_66]) ).
tff(c_171774,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_171773]) ).
tff(c_171849,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_171722,c_171611,c_171722,c_171774,c_171722,c_171611,c_171722,c_730]) ).
tff(c_171850,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_171731]) ).
tff(c_171856,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171850,c_180]) ).
tff(c_171706,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171443,c_54]) ).
tff(c_171707,plain,
( ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_169185,c_194,c_171706]) ).
tff(c_171708,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_171707]) ).
tff(c_171874,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_171708,c_170542,c_84]) ).
tff(c_171875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_171856,c_194,c_196,c_171874]) ).
tff(c_171877,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_171707]) ).
tff(c_171933,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_170542,c_88]) ).
tff(c_171934,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_171877,c_198,c_171933]) ).
tff(c_171943,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_171934,c_170542,c_84]) ).
tff(c_171944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_171448,c_196,c_171943]) ).
tff(c_171945,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_171663]) ).
tff(c_171952,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171945,c_186]) ).
tff(c_171446,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171443,c_158]) ).
tff(c_171957,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158156,c_158142,c_16]) ).
tff(c_171958,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_171957]) ).
tff(c_172000,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171958,c_171611,c_169176,c_52]) ).
tff(c_172001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_171446,c_194,c_172000]) ).
tff(c_172002,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_171957]) ).
tff(c_172015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_171952,c_172002]) ).
tff(c_172016,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_171441]) ).
tff(c_172023,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172016,c_102]) ).
tff(c_172030,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_78]) ).
tff(c_172031,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_172030]) ).
tff(c_172445,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172031,c_74]) ).
tff(c_172446,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_170541,c_204,c_172023,c_172445]) ).
tff(c_172450,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172446,c_120]) ).
tff(c_172459,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158135,c_90]) ).
tff(c_172460,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_172450,c_198,c_172459]) ).
tff(c_172036,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172031,c_172]) ).
tff(c_172021,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172016,c_160]) ).
tff(c_172052,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172031,c_68]) ).
tff(c_172053,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_172052]) ).
tff(c_172054,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_172053]) ).
tff(c_172151,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172054,c_172031,c_76]) ).
tff(c_172152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_172021,c_170548,c_172151]) ).
tff(c_172153,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_172053]) ).
tff(c_172155,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_172153]) ).
tff(c_172176,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_170541,c_30]) ).
tff(c_172177,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_172176]) ).
tff(c_172261,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172177,c_172031,c_74]) ).
tff(c_172262,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_172023,c_172261]) ).
tff(c_172302,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172177,c_172031,c_172262,c_66]) ).
tff(c_172303,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_172302]) ).
tff(c_172187,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158156,c_158142,c_16]) ).
tff(c_172188,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_172187]) ).
tff(c_172192,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172188,c_120]) ).
tff(c_172216,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172177,c_172031,c_74]) ).
tff(c_172217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_172192,c_172023,c_172216]) ).
tff(c_172218,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_172187]) ).
tff(c_172020,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172016,c_158]) ).
tff(c_172222,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172218,c_118]) ).
tff(c_172232,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_172020,c_169185,c_172222,c_12]) ).
tff(c_172034,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172031,c_126]) ).
tff(c_172160,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172155,c_122]) ).
tff(c_172165,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_172034,c_172021,c_172160,c_20]) ).
tff(c_172373,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172155,c_172303,c_170542,c_172218,c_172232,c_172165,c_172165,c_172177,c_570]) ).
tff(c_172374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_202,c_198,c_172373]) ).
tff(c_172375,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_172176]) ).
tff(c_172380,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172375,c_176]) ).
tff(c_172432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172036,c_172023,c_158139,c_172380,c_6]) ).
tff(c_172433,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_172153]) ).
tff(c_172516,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172460,c_172031,c_172433,c_72]) ).
tff(c_172517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_169181,c_172516]) ).
tff(c_172518,plain,
( ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_172030]) ).
tff(c_172520,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_172518]) ).
tff(c_172524,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172520,c_170]) ).
tff(c_172531,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_172021,c_20]) ).
tff(c_172532,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_172531]) ).
tff(c_172535,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172532,c_122]) ).
tff(c_172526,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172520,c_100]) ).
tff(c_172630,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_172526,c_170547,c_158141,c_2]) ).
tff(c_172688,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170542,c_169176,c_172630,c_46]) ).
tff(c_172689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_172535,c_202,c_200,c_172688]) ).
tff(c_172690,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_172531]) ).
tff(c_172694,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_172690]) ).
tff(c_172699,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172694,c_162]) ).
tff(c_172706,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169176,c_52]) ).
tff(c_172707,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_172699,c_194,c_172706]) ).
tff(c_172708,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_172707]) ).
tff(c_172712,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172708,c_120]) ).
tff(c_172806,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_172524,c_169183,c_172712,c_14]) ).
tff(c_172519,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_172030]) ).
tff(c_172697,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172694,c_130]) ).
tff(c_172741,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_172697,c_24]) ).
tff(c_172745,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172741,c_132]) ).
tff(c_172700,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172694,c_126]) ).
tff(c_172751,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_172519,c_172745,c_172700,c_22]) ).
tff(c_172720,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_172020,c_169185,c_172699,c_12]) ).
tff(c_172757,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_172751,c_180]) ).
tff(c_172768,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_170542,c_88]) ).
tff(c_172769,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_172757,c_198,c_172768]) ).
tff(c_172894,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172806,c_172016,c_172751,c_172806,c_172694,c_172751,c_172720,c_172769,c_416]) ).
tff(c_172895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_196,c_202,c_172894]) ).
tff(c_172896,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_172707]) ).
tff(c_172902,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172896,c_178]) ).
tff(c_172701,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172694,c_168]) ).
tff(c_172931,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_170542,c_84]) ).
tff(c_172932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_172902,c_172701,c_196,c_172931]) ).
tff(c_172933,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_172690]) ).
tff(c_172941,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_172933,c_168]) ).
tff(c_173018,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_158153,c_170545,c_172941,c_28]) ).
tff(c_172961,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_24]) ).
tff(c_172962,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_172961]) ).
tff(c_172974,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172962,c_132]) ).
tff(c_172940,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_172933,c_126]) ).
tff(c_172981,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_172519,c_172974,c_172940,c_22]) ).
tff(c_173073,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172962,c_172981,c_172933,c_80]) ).
tff(c_173074,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_173073]) ).
tff(c_173132,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173018,c_158135,c_172016,c_169176,c_158135,c_173074,c_172520,c_170542,c_590]) ).
tff(c_173133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_200,c_173132]) ).
tff(c_173134,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_172961]) ).
tff(c_173145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173140,c_173134]) ).
tff(c_173147,plain,
op(e2,e0) != e3,
inference(splitRight,[status(thm)],[c_172959]) ).
tff(c_173216,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_158156,c_158142,c_173147,c_16]) ).
tff(c_173220,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_173216,c_186]) ).
tff(c_173192,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172933,c_172016,c_62]) ).
tff(c_173193,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_158153,c_202,c_204,c_173192]) ).
tff(c_173146,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_172959]) ).
tff(c_173148,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_173146]) ).
tff(c_173179,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172933,c_173148,c_172016,c_62]) ).
tff(c_173180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158153,c_202,c_200,c_204,c_173179]) ).
tff(c_173181,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_173146]) ).
tff(c_173185,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173181,c_174]) ).
tff(c_173227,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172933,c_68]) ).
tff(c_173228,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_173185,c_194,c_173227]) ).
tff(c_173229,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_173228]) ).
tff(c_173338,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_173193,c_173216,c_173193,c_173229,c_173216,c_173193,c_173193,c_718]) ).
tff(c_173339,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_173228]) ).
tff(c_173344,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173339,c_128]) ).
tff(c_173358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158155,c_173220,c_158143,c_173344,c_24]) ).
tff(c_173359,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_172518]) ).
tff(c_173360,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_172518]) ).
tff(c_173463,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_173360,c_172023,c_158139,c_6]) ).
tff(c_173600,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173359,c_173463,c_74]) ).
tff(c_173601,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_170541,c_204,c_196,c_173600]) ).
tff(c_173366,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173359,c_114]) ).
tff(c_173371,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_172021,c_20]) ).
tff(c_173372,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_173371]) ).
tff(c_173376,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173372,c_162]) ).
tff(c_173394,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_173376,c_172020,c_169185,c_12]) ).
tff(c_173399,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173394,c_166]) ).
tff(c_173383,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_173360,c_172023,c_158139,c_6]) ).
tff(c_173388,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173383,c_176]) ).
tff(c_173439,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_158154,c_170541,c_173388,c_30]) ).
tff(c_173459,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_173439,c_170542,c_84]) ).
tff(c_173460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_173399,c_196,c_173459]) ).
tff(c_173461,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_173371]) ).
tff(c_173475,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_173461]) ).
tff(c_173480,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173475,c_162]) ).
tff(c_173571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173366,c_172020,c_169185,c_173480,c_12]) ).
tff(c_173572,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_173461]) ).
tff(c_173612,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173601,c_173572,c_80]) ).
tff(c_173613,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_158155,c_204,c_202,c_173612]) ).
tff(c_173616,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173613,c_148]) ).
tff(c_173662,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_173463,c_172016,c_48]) ).
tff(c_173663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_173616,c_173662]) ).
tff(c_173664,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_170540]) ).
tff(c_173671,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_173664,c_164]) ).
tff(c_175148,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158155,c_158143,c_24]) ).
tff(c_175149,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_175148]) ).
tff(c_175152,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175149,c_132]) ).
tff(c_175137,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_173664,c_88]) ).
tff(c_175138,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_169182,c_175137]) ).
tff(c_173669,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_173664,c_166]) ).
tff(c_173996,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_78]) ).
tff(c_173997,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_173996]) ).
tff(c_174001,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173997,c_174]) ).
tff(c_173665,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_170540]) ).
tff(c_174000,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173997,c_124]) ).
tff(c_174010,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158135,c_90]) ).
tff(c_174011,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_174010]) ).
tff(c_174012,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_174011]) ).
tff(c_174025,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174012,c_128]) ).
tff(c_174104,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_174000,c_174025,c_169181,c_18]) ).
tff(c_174109,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174104,c_156]) ).
tff(c_174126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158152,c_173665,c_169182,c_174109,c_26]) ).
tff(c_174127,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_174011]) ).
tff(c_173670,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_173664,c_168]) ).
tff(c_173678,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_173670,c_20]) ).
tff(c_173679,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_173678]) ).
tff(c_173682,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173679,c_122]) ).
tff(c_173685,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173679,c_126]) ).
tff(c_173690,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_173664,c_88]) ).
tff(c_173691,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_169182,c_173690]) ).
tff(c_173697,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_173691,c_180]) ).
tff(c_173717,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_173685,c_173697,c_22]) ).
tff(c_173718,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_173717]) ).
tff(c_173722,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_173718,c_124]) ).
tff(c_173706,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_173691,c_173664,c_84]) ).
tff(c_173707,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_173706]) ).
tff(c_173712,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173707,c_156]) ).
tff(c_173741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173682,c_173722,c_169181,c_173712,c_18]) ).
tff(c_173742,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_173717]) ).
tff(c_173755,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_173682,c_169181,c_173712,c_18]) ).
tff(c_173765,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173742,c_173679,c_173755,c_72]) ).
tff(c_173766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158143,c_194,c_202,c_198,c_173765]) ).
tff(c_173767,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_173678]) ).
tff(c_173769,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_173767]) ).
tff(c_173774,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173769,c_160]) ).
tff(c_173971,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_173671,c_158140,c_173774,c_4]) ).
tff(c_173975,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173971,c_158]) ).
tff(c_173775,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173769,c_162]) ).
tff(c_173981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173975,c_173669,c_169185,c_173775,c_12]) ).
tff(c_173982,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_173767]) ).
tff(c_174169,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_173671,c_158140,c_4]) ).
tff(c_174170,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_174169]) ).
tff(c_174216,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173664,c_173982,c_174170,c_50]) ).
tff(c_174217,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_174216]) ).
tff(c_174230,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174127,c_174217,c_169176,c_64]) ).
tff(c_174231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_174001,c_200,c_202,c_174230]) ).
tff(c_174232,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_174169]) ).
tff(c_174236,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174232,c_158]) ).
tff(c_174283,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_173669,c_169185,c_174236,c_12]) ).
tff(c_174128,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_174011]) ).
tff(c_174160,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_158155,c_174128,c_158143,c_24]) ).
tff(c_174361,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_174283,c_174127,c_174283,c_174160,c_174283,c_174127,c_174283,c_718]) ).
tff(c_174362,plain,
( ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_173996]) ).
tff(c_174364,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_174362]) ).
tff(c_174370,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174364,c_100]) ).
tff(c_174369,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174364,c_102]) ).
tff(c_174553,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_174369,c_173671,c_158140,c_4]) ).
tff(c_174558,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174553,c_98]) ).
tff(c_174613,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_174370,c_158141,c_174558,c_2]) ).
tff(c_174377,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158154,c_170541,c_30]) ).
tff(c_174378,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_174377]) ).
tff(c_174691,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_174613,c_174364,c_174613,c_174378,c_174613,c_174364,c_174613,c_732]) ).
tff(c_174692,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_174377]) ).
tff(c_174749,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_174692,c_173664,c_88]) ).
tff(c_174750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_169182,c_174749]) ).
tff(c_174751,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_174362]) ).
tff(c_174758,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174751,c_114]) ).
tff(c_174965,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_158135,c_90]) ).
tff(c_174966,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_174965]) ).
tff(c_174967,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_174966]) ).
tff(c_174972,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174967,c_186]) ).
tff(c_174871,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173664,c_173982,c_50]) ).
tff(c_174872,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_174871]) ).
tff(c_174873,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_174872]) ).
tff(c_174878,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174873,c_118]) ).
tff(c_175023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158156,c_174972,c_158142,c_174878,c_16]) ).
tff(c_175025,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_174966]) ).
tff(c_174363,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_173996]) ).
tff(c_174775,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173982,c_68]) ).
tff(c_174776,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_174775]) ).
tff(c_174777,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_174776]) ).
tff(c_174801,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174777,c_173982,c_80]) ).
tff(c_174802,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_174363,c_202,c_174801]) ).
tff(c_174805,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174802,c_148]) ).
tff(c_174752,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_174362]) ).
tff(c_174763,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174752,c_158139,c_6]) ).
tff(c_174764,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_174763]) ).
tff(c_174770,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174764,c_100]) ).
tff(c_174859,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_174805,c_174770,c_158141,c_2]) ).
tff(c_174863,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174859,c_152]) ).
tff(c_174868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158152,c_173665,c_169182,c_174863,c_26]) ).
tff(c_174870,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_174776]) ).
tff(c_175066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158155,c_175025,c_158143,c_174870,c_24]) ).
tff(c_175068,plain,
op(e2,e2) != e3,
inference(splitRight,[status(thm)],[c_174872]) ).
tff(c_175123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174758,c_173669,c_169185,c_175068,c_12]) ).
tff(c_175124,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_174763]) ).
tff(c_175176,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175138,c_174751,c_175124,c_74]) ).
tff(c_175177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_175152,c_204,c_196,c_175176]) ).
tff(c_175178,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_175148]) ).
tff(c_175183,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175178,c_128]) ).
tff(c_175190,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_169181,c_175183,c_18]) ).
tff(c_175191,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_175190]) ).
tff(c_175130,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175124,c_102]) ).
tff(c_175213,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_173671,c_158140,c_175130,c_4]) ).
tff(c_175244,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158150,c_175138,c_173664,c_84]) ).
tff(c_175245,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_175244]) ).
tff(c_175349,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175191,c_175124,c_175213,c_169176,c_175245,c_175178,c_173982,c_175138,c_490]) ).
tff(c_175350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_198,c_175349]) ).
tff(c_175351,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_175190]) ).
tff(c_175355,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175351,c_148]) ).
tff(c_175389,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_175124,c_44]) ).
tff(c_175390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_173671,c_175355,c_175389]) ).
tff(c_175391,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_175393,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_175391]) ).
tff(c_175397,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_152]) ).
tff(c_175392,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_185907,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_32]) ).
tff(c_185908,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_185907]) ).
tff(c_175395,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_136]) ).
tff(c_185915,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185908,c_144]) ).
tff(c_175399,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_156]) ).
tff(c_175404,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_175407,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175404,c_160]) ).
tff(c_175405,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175404,c_130]) ).
tff(c_175427,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175405,c_158143,c_24]) ).
tff(c_175428,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_175427]) ).
tff(c_176379,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175428,c_192]) ).
tff(c_175398,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_154]) ).
tff(c_175437,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175428,c_192]) ).
tff(c_175429,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_88]) ).
tff(c_175430,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_175429]) ).
tff(c_175431,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_175430]) ).
tff(c_175415,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158139,c_6]) ).
tff(c_175416,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_175415]) ).
tff(c_175475,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175407,c_158140,c_4]) ).
tff(c_175476,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_175475]) ).
tff(c_175480,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175476,c_164]) ).
tff(c_175451,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175431,c_175393,c_84]) ).
tff(c_175452,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_175451]) ).
tff(c_175453,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_175452]) ).
tff(c_175500,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175453,c_175431,c_175393,c_92]) ).
tff(c_175501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_175480,c_204,c_175500]) ).
tff(c_175502,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_175475]) ).
tff(c_175608,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_175416,c_175502,c_44]) ).
tff(c_175609,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_175608]) ).
tff(c_175677,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_175609,c_175416,c_175609,c_175431,c_175609,c_175416,c_175609,c_732]) ).
tff(c_175678,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_175452]) ).
tff(c_175691,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175431,c_175678,c_175393,c_92]) ).
tff(c_175692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175437,c_198,c_196,c_204,c_175691]) ).
tff(c_175693,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_175430]) ).
tff(c_175408,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175404,c_162]) ).
tff(c_175731,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175693,c_166]) ).
tff(c_175419,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175416,c_170]) ).
tff(c_175695,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175395,c_30]) ).
tff(c_175696,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_175695]) ).
tff(c_175710,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175696,c_178]) ).
tff(c_175716,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175428,c_175404,c_72]) ).
tff(c_175717,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_175716]) ).
tff(c_175718,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_175717]) ).
tff(c_175722,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175718,c_174]) ).
tff(c_175751,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175407,c_158140,c_4]) ).
tff(c_175752,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_175751]) ).
tff(c_175755,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175752,c_158]) ).
tff(c_175794,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_175408,c_175755,c_175731,c_12]) ).
tff(c_175799,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175794,c_114]) ).
tff(c_175810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175419,c_175710,c_175722,c_175799,c_14]) ).
tff(c_175811,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_175751]) ).
tff(c_175815,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175811,c_158]) ).
tff(c_175858,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_175408,c_175731,c_175815,c_12]) ).
tff(c_175868,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_175419,c_175710,c_175722,c_14]) ).
tff(c_175952,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_175858,c_175868,c_175858,c_175416,c_175868,c_175858,c_175858,c_740]) ).
tff(c_175953,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_175717]) ).
tff(c_175968,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175953,c_150]) ).
tff(c_175976,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175407,c_158140,c_4]) ).
tff(c_175977,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_175976]) ).
tff(c_175980,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175977,c_158]) ).
tff(c_175959,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175693,c_166]) ).
tff(c_176000,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_175408,c_175980,c_175959,c_12]) ).
tff(c_176005,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176000,c_110]) ).
tff(c_176025,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175398,c_175968,c_176005,c_10]) ).
tff(c_176158,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175693,c_158135,c_175416,c_176025,c_175977,c_175953,c_158135,c_175393,c_590]) ).
tff(c_176159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_196,c_194,c_176158]) ).
tff(c_176160,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_175976]) ).
tff(c_176165,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176160,c_98]) ).
tff(c_176352,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_176165,c_2]) ).
tff(c_176356,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_176352,c_146]) ).
tff(c_176185,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_176165,c_2]) ).
tff(c_176189,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_176185,c_146]) ).
tff(c_176211,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_175398,c_176189,c_175968,c_10]) ).
tff(c_175702,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175428,c_192]) ).
tff(c_176241,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_175392,c_175702,c_158144,c_32]) ).
tff(c_175701,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175428,c_186]) ).
tff(c_176173,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_175701,c_158142,c_16]) ).
tff(c_176174,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_176173]) ).
tff(c_176198,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175693,c_175404,c_176160,c_58]) ).
tff(c_176199,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_176198]) ).
tff(c_176335,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176211,c_176160,c_176241,c_176174,c_175696,c_175428,c_176199,c_175693,c_456]) ).
tff(c_176336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_204,c_198,c_176335]) ).
tff(c_176337,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_176173]) ).
tff(c_176342,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176337,c_116]) ).
tff(c_176371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175398,c_176356,c_175968,c_176342,c_10]) ).
tff(c_176373,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_175695]) ).
tff(c_176473,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_92]) ).
tff(c_176474,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_176379,c_176373,c_204,c_176473]) ).
tff(c_176484,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_176474,c_175693]) ).
tff(c_176485,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_176484]) ).
tff(c_176486,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_175427]) ).
tff(c_176493,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176486,c_192]) ).
tff(c_177352,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_176493,c_32]) ).
tff(c_177357,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177352,c_190]) ).
tff(c_177356,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177352,c_144]) ).
tff(c_175409,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175404,c_126]) ).
tff(c_176490,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176486,c_132]) ).
tff(c_177198,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175409,c_176490,c_22]) ).
tff(c_177199,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_177198]) ).
tff(c_177203,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177199,c_174]) ).
tff(c_176499,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_84]) ).
tff(c_176500,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_176493,c_200,c_176499]) ).
tff(c_176501,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_176500]) ).
tff(c_176753,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176501,c_175393,c_88]) ).
tff(c_176754,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_194,c_202,c_176753]) ).
tff(c_176798,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_176493,c_32]) ).
tff(c_176875,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176798,c_176486,c_158135,c_94]) ).
tff(c_176876,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_176875]) ).
tff(c_176775,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176486,c_175404,c_72]) ).
tff(c_176776,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_176775]) ).
tff(c_176777,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_176776]) ).
tff(c_176780,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176777,c_124]) ).
tff(c_176491,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176486,c_128]) ).
tff(c_176788,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175399,c_176780,c_176491,c_18]) ).
tff(c_176955,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176754,c_158135,c_176798,c_176876,c_175416,c_176788,c_176501,c_176798,c_692]) ).
tff(c_176956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_200,c_176955]) ).
tff(c_176957,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_176776]) ).
tff(c_176962,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176957,c_150]) ).
tff(c_176502,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175408,c_12]) ).
tff(c_176503,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_176502]) ).
tff(c_176518,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_176503,c_110]) ).
tff(c_176517,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_176503,c_114]) ).
tff(c_176523,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176486,c_175404,c_72]) ).
tff(c_176524,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_176523]) ).
tff(c_176525,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_176524]) ).
tff(c_176534,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176501,c_176525,c_175416,c_74]) ).
tff(c_176535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_176517,c_204,c_176534]) ).
tff(c_176536,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_176524]) ).
tff(c_176541,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176536,c_150]) ).
tff(c_176592,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_175398,c_176518,c_176541,c_10]) ).
tff(c_176596,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176592,c_146]) ).
tff(c_176604,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_176596,c_2]) ).
tff(c_176515,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_176503,c_118]) ).
tff(c_176492,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176486,c_186]) ).
tff(c_176547,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_176515,c_158142,c_176492,c_16]) ).
tff(c_176571,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_176493,c_32]) ).
tff(c_220,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e2,op(e1,e2)) = e2 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_176739,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175416,c_176604,c_176604,c_176592,c_176547,c_175404,c_176501,c_176571,c_220]) ).
tff(c_176740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_202,c_200,c_176739]) ).
tff(c_176741,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_176502]) ).
tff(c_176752,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_176741]) ).
tff(c_176769,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176752,c_110]) ).
tff(c_177102,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175398,c_176962,c_176769,c_10]) ).
tff(c_176970,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_2]) ).
tff(c_176971,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_176970]) ).
tff(c_176975,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_176971,c_98]) ).
tff(c_176766,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176752,c_158]) ).
tff(c_177019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175407,c_176975,c_158140,c_176766,c_4]) ).
tff(c_177020,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_176970]) ).
tff(c_177050,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_175416,c_177020,c_44]) ).
tff(c_177051,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_177050]) ).
tff(c_626,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_177182,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176754,c_158135,c_177102,c_176752,c_177051,c_176957,c_176957,c_176501,c_626]) ).
tff(c_177183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_196,c_198,c_177182]) ).
tff(c_177184,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_176741]) ).
tff(c_177191,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_177184,c_114]) ).
tff(c_176746,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176501,c_178]) ).
tff(c_177265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175419,c_177203,c_177191,c_176746,c_14]) ).
tff(c_177266,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_177198]) ).
tff(c_177273,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_177266,c_124]) ).
tff(c_177307,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175399,c_177273,c_176491,c_18]) ).
tff(c_177311,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177307,c_150]) ).
tff(c_177192,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_177184,c_110]) ).
tff(c_177281,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_2]) ).
tff(c_177282,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_177281]) ).
tff(c_177285,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177282,c_148]) ).
tff(c_177292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175399,c_177285,c_177273,c_176491,c_18]) ).
tff(c_177293,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_177281]) ).
tff(c_177298,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177293,c_146]) ).
tff(c_177340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175398,c_177311,c_177192,c_177298,c_10]) ).
tff(c_177342,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_176500]) ).
tff(c_177572,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_175395,c_177356,c_177342,c_30]) ).
tff(c_177362,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_176492,c_16]) ).
tff(c_177363,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_177362]) ).
tff(c_177341,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_176500]) ).
tff(c_177346,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177341,c_166]) ).
tff(c_177411,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175408,c_177346,c_12]) ).
tff(c_177412,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_177411]) ).
tff(c_177475,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177341,c_175404,c_177412,c_54]) ).
tff(c_177476,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_158140,c_177475]) ).
tff(c_177477,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_177411]) ).
tff(c_177374,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176486,c_175404,c_72]) ).
tff(c_177375,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_177374]) ).
tff(c_177376,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_177375]) ).
tff(c_177381,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_177376,c_180]) ).
tff(c_177388,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177352,c_177341,c_175393,c_88]) ).
tff(c_177389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_177381,c_194,c_202,c_177388]) ).
tff(c_177391,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_177375]) ).
tff(c_177401,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_175409,c_177391,c_176490,c_22]) ).
tff(c_177405,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177401,c_174]) ).
tff(c_177493,plain,
( ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177363,c_177477,c_60]) ).
tff(c_177494,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_177405,c_198,c_177493]) ).
tff(c_177516,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177363,c_177477,c_177494,c_52]) ).
tff(c_177517,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_177516]) ).
tff(c_177606,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_177352,c_177572,c_177352,c_177517,c_177572,c_177352,c_177352,c_734]) ).
tff(c_177607,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_177362]) ).
tff(c_177621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177357,c_177607]) ).
tff(c_177622,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_175415]) ).
tff(c_177624,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_177622]) ).
tff(c_177631,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177624,c_100]) ).
tff(c_177650,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_177631,c_2]) ).
tff(c_177656,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177650,c_98]) ).
tff(c_177630,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177624,c_102]) ).
tff(c_177672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175407,c_177656,c_158140,c_177630,c_4]) ).
tff(c_177673,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_177622]) ).
tff(c_177681,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177673,c_100]) ).
tff(c_177680,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177673,c_102]) ).
tff(c_177730,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_175407,c_177680,c_158140,c_4]) ).
tff(c_177736,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177730,c_98]) ).
tff(c_177762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175397,c_177681,c_158141,c_177736,c_2]) ).
tff(c_177763,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_177765,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_177763]) ).
tff(c_177772,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177765,c_168]) ).
tff(c_178273,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177765,c_80]) ).
tff(c_178274,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_175399,c_178273]) ).
tff(c_178275,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_178274]) ).
tff(c_178278,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_178275,c_132]) ).
tff(c_177997,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175395,c_30]) ).
tff(c_177998,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_177997]) ).
tff(c_178004,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177998,c_180]) ).
tff(c_178302,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178275,c_177765,c_72]) ).
tff(c_178303,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_178302]) ).
tff(c_178304,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_178303]) ).
tff(c_177777,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_2]) ).
tff(c_177778,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_177777]) ).
tff(c_177781,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177778,c_148]) ).
tff(c_177768,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177765,c_122]) ).
tff(c_178305,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_175399,c_177781,c_177768,c_18]) ).
tff(c_178310,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178305,c_124]) ).
tff(c_178323,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_178304,c_178310]) ).
tff(c_178325,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_178303]) ).
tff(c_177771,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177765,c_126]) ).
tff(c_178339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_178278,c_178004,c_178325,c_177771,c_22]) ).
tff(c_178340,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_178274]) ).
tff(c_178232,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177998,c_175393,c_88]) ).
tff(c_178233,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_198,c_202,c_178232]) ).
tff(c_177782,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177778,c_146]) ).
tff(c_178342,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_178004,c_177771,c_22]) ).
tff(c_178343,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_178342]) ).
tff(c_177783,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177778,c_100]) ).
tff(c_178011,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_177783,c_158139,c_6]) ).
tff(c_178012,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_178011]) ).
tff(c_178015,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_178012,c_172]) ).
tff(c_178081,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_178015,c_178004,c_177771,c_22]) ).
tff(c_178085,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178081,c_124]) ).
tff(c_178109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175399,c_177781,c_178085,c_177768,c_18]) ).
tff(c_178110,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_178011]) ).
tff(c_178356,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177998,c_178343,c_178110,c_70]) ).
tff(c_178357,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_178356]) ).
tff(c_178361,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178357,c_112]) ).
tff(c_178377,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_175398,c_177782,c_178361,c_10]) ).
tff(c_178346,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_178343,c_132]) ).
tff(c_177767,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177765,c_130]) ).
tff(c_178396,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_178346,c_158143,c_177767,c_24]) ).
tff(c_178496,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178233,c_158135,c_177778,c_178377,c_177998,c_178396,c_178343,c_177998,c_618]) ).
tff(c_178497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_204,c_204,c_178496]) ).
tff(c_178498,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_178342]) ).
tff(c_178511,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_178340,c_178498]) ).
tff(c_178512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_178511]) ).
tff(c_178514,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_177997]) ).
tff(c_177815,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_175395,c_78]) ).
tff(c_177816,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_177815]) ).
tff(c_177875,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_177816,c_132]) ).
tff(c_177789,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_92]) ).
tff(c_177790,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_177789]) ).
tff(c_177791,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_177790]) ).
tff(c_177807,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177791,c_192]) ).
tff(c_177906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177875,c_177807,c_158143,c_177767,c_24]) ).
tff(c_177907,plain,
( ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_177815]) ).
tff(c_177909,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_177907]) ).
tff(c_177915,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_177909,c_102]) ).
tff(c_177784,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177778,c_98]) ).
tff(c_177769,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177765,c_160]) ).
tff(c_177920,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177915,c_177784,c_158140,c_177769,c_4]) ).
tff(c_177922,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_177907]) ).
tff(c_177806,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177791,c_144]) ).
tff(c_177933,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_175395,c_177806,c_30]) ).
tff(c_177934,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_177933]) ).
tff(c_177944,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177791,c_177934,c_175393,c_84]) ).
tff(c_177945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_177772,c_200,c_177944]) ).
tff(c_177946,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_177933]) ).
tff(c_177951,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177946,c_176]) ).
tff(c_177994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177922,c_177783,c_158139,c_177951,c_6]) ).
tff(c_177995,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_177790]) ).
tff(c_178515,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_178514,c_177995]) ).
tff(c_178695,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158143,c_177767,c_24]) ).
tff(c_178696,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_178695]) ).
tff(c_178701,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_178696,c_186]) ).
tff(c_177996,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_177790]) ).
tff(c_178513,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_177997]) ).
tff(c_178526,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_178513]) ).
tff(c_178529,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_178526,c_144]) ).
tff(c_178590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175392,c_177996,c_158144,c_178529,c_32]) ).
tff(c_178591,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_178513]) ).
tff(c_178729,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178591,c_178515,c_175393,c_84]) ).
tff(c_178730,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_178729]) ).
tff(c_178734,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_178730,c_190]) ).
tff(c_178776,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_178701,c_158142,c_178734,c_16]) ).
tff(c_178718,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_177784,c_158140,c_177769,c_4]) ).
tff(c_178598,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178591,c_180]) ).
tff(c_178707,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178696,c_177765,c_72]) ).
tff(c_178708,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_178598,c_194,c_178707]) ).
tff(c_178880,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178776,c_178718,c_178591,c_178776,c_178718,c_178708,c_158135,c_175393,c_430]) ).
tff(c_178881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_200,c_194,c_178880]) ).
tff(c_178882,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_178695]) ).
tff(c_178886,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178882,c_132]) ).
tff(c_178918,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_178886,c_178598,c_177771,c_22]) ).
tff(c_178941,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_177784,c_158140,c_177769,c_4]) ).
tff(c_178952,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e3,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_178941,c_177778,c_36]) ).
tff(c_178953,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_178952]) ).
tff(c_178991,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178591,c_178918,c_178953,c_74]) ).
tff(c_178992,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_178991]) ).
tff(c_179068,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178515,c_158135,c_178918,c_178992,c_178591,c_178882,c_178992,c_178515,c_680]) ).
tff(c_179069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_202,c_198,c_179068]) ).
tff(c_179070,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_177777]) ).
tff(c_180486,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_179070,c_48]) ).
tff(c_180487,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_180486]) ).
tff(c_180488,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_180487]) ).
tff(c_180492,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180488,c_170]) ).
tff(c_179630,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175395,c_30]) ).
tff(c_179631,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_179630]) ).
tff(c_179635,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179631,c_176]) ).
tff(c_179634,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179631,c_144]) ).
tff(c_179654,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_175392,c_179634,c_158144,c_32]) ).
tff(c_179072,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_16]) ).
tff(c_179073,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_179072]) ).
tff(c_179075,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_179073,c_118]) ).
tff(c_179078,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_179073,c_186]) ).
tff(c_179095,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175399,c_177768,c_18]) ).
tff(c_179096,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_179095]) ).
tff(c_179099,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179096,c_128]) ).
tff(c_179176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179078,c_179099,c_158143,c_177767,c_24]) ).
tff(c_179177,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_179095]) ).
tff(c_179183,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179177,c_150]) ).
tff(c_179088,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179070,c_146]) ).
tff(c_179484,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175398,c_179183,c_179088,c_10]) ).
tff(c_179489,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179484,c_110]) ).
tff(c_179202,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175398,c_179183,c_179088,c_10]) ).
tff(c_179206,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179202,c_112]) ).
tff(c_179189,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_88]) ).
tff(c_179190,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_179189]) ).
tff(c_179191,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_179190]) ).
tff(c_179184,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179177,c_124]) ).
tff(c_179284,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_179184,c_177771,c_22]) ).
tff(c_179285,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_179284]) ).
tff(c_179307,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179191,c_179285,c_74]) ).
tff(c_179308,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_179206,c_179307]) ).
tff(c_179334,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_179308,c_179070,c_48]) ).
tff(c_179335,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_179334]) ).
tff(c_179212,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179191,c_175393,c_92]) ).
tff(c_179213,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_179212]) ).
tff(c_179214,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_179213]) ).
tff(c_179270,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179214,c_179191,c_175393,c_84]) ).
tff(c_179271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_177772,c_200,c_179270]) ).
tff(c_179272,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_179213]) ).
tff(c_179318,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179191,c_179272,c_175393,c_84]) ).
tff(c_179319,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_179318]) ).
tff(c_179077,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_179073,c_120]) ).
tff(c_179196,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179191,c_178]) ).
tff(c_179363,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_179077,c_179206,c_179196,c_14]) ).
tff(c_179443,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179073,c_179335,c_179319,c_179073,c_179202,c_177765,c_179363,c_179272,c_440]) ).
tff(c_179444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_198,c_194,c_179443]) ).
tff(c_179445,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_179284]) ).
tff(c_179451,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179445,c_172]) ).
tff(c_179089,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179070,c_100]) ).
tff(c_179459,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_179451,c_158139,c_179089,c_6]) ).
tff(c_179464,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_179459,c_102]) ).
tff(c_179279,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179272,c_164]) ).
tff(c_179471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179464,c_179279,c_158140,c_177769,c_4]) ).
tff(c_179472,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_179190]) ).
tff(c_179478,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179472,c_166]) ).
tff(c_177770,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177765,c_162]) ).
tff(c_179616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179075,c_179489,c_179478,c_177770,c_12]) ).
tff(c_179617,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_179072]) ).
tff(c_179642,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_179617]) ).
tff(c_179649,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179642,c_190]) ).
tff(c_179665,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179654,c_179649]) ).
tff(c_179666,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_179617]) ).
tff(c_179671,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179666,c_118]) ).
tff(c_179758,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_175392,c_179634,c_158144,c_32]) ).
tff(c_179797,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179758,c_179631,c_175393,c_88]) ).
tff(c_179798,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_179797]) ).
tff(c_179802,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179798,c_166]) ).
tff(c_179821,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_179671,c_179802,c_177770,c_12]) ).
tff(c_179672,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179666,c_116]) ).
tff(c_179623,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179070,c_146]) ).
tff(c_179786,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_175398,c_179672,c_179623,c_10]) ).
tff(c_179869,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179666,c_179821,c_179786,c_52]) ).
tff(c_179870,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_179869]) ).
tff(c_179774,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_179070,c_48]) ).
tff(c_179775,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_179774]) ).
tff(c_179776,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_179775]) ).
tff(c_179781,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_179776,c_102]) ).
tff(c_179808,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_179781,c_158140,c_177769,c_4]) ).
tff(c_179846,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_179786,c_179070,c_42]) ).
tff(c_179847,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_179846]) ).
tff(c_179949,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179870,c_179808,c_179631,c_179666,c_179776,c_179847,c_158135,c_175393,c_430]) ).
tff(c_179950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_194,c_179949]) ).
tff(c_179951,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_179775]) ).
tff(c_180029,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_179951,c_179070,c_44]) ).
tff(c_180030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_179635,c_204,c_196,c_180029]) ).
tff(c_180031,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_179630]) ).
tff(c_180033,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_180031]) ).
tff(c_180462,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180033,c_175393,c_92]) ).
tff(c_180463,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_180462]) ).
tff(c_180464,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_180463]) ).
tff(c_180470,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180464,c_190]) ).
tff(c_180498,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_180470,c_179617]) ).
tff(c_180585,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180464,c_180033,c_175393,c_88]) ).
tff(c_180586,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_180585]) ).
tff(c_180037,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180033,c_144]) ).
tff(c_180069,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_180037,c_32]) ).
tff(c_180326,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180069,c_180033,c_175393,c_88]) ).
tff(c_180327,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_180326]) ).
tff(c_180045,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175398,c_179623,c_10]) ).
tff(c_180046,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_180045]) ).
tff(c_180051,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180046,c_116]) ).
tff(c_180057,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_180051,c_179617]) ).
tff(c_180052,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180046,c_110]) ).
tff(c_180331,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180327,c_166]) ).
tff(c_180336,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_180052,c_180331,c_177770,c_12]) ).
tff(c_180074,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180069,c_192]) ).
tff(c_180361,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_180074,c_158143,c_177767,c_24]) ).
tff(c_652,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_180458,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180327,c_158135,c_180057,c_180336,c_180069,c_180361,c_180033,c_180069,c_652]) ).
tff(c_180459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_204,c_200,c_180458]) ).
tff(c_180460,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_180045]) ).
tff(c_180481,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180460,c_110]) ).
tff(c_180513,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180481,c_177770,c_12]) ).
tff(c_180514,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_180513]) ).
tff(c_180491,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180488,c_172]) ).
tff(c_180478,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180460,c_150]) ).
tff(c_180526,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175399,c_180478,c_177768,c_18]) ).
tff(c_180531,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180526,c_124]) ).
tff(c_180554,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_180491,c_180531,c_177771,c_22]) ).
tff(c_638,plain,
( ( op(e3,op(e0,e3)) = e3 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e0,op(e3,e0)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_180675,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180586,c_158135,c_180498,c_180514,c_177765,c_180554,c_158135,c_175393,c_638]) ).
tff(c_180676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_196,c_194,c_180675]) ).
tff(c_180677,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_180513]) ).
tff(c_180729,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180498,c_180677,c_180460,c_64]) ).
tff(c_180730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_180492,c_204,c_202,c_180729]) ).
tff(c_180731,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_180487]) ).
tff(c_180737,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180731,c_158]) ).
tff(c_180755,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_180737,c_180481,c_177770,c_12]) ).
tff(c_180760,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180755,c_114]) ).
tff(c_180479,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180460,c_112]) ).
tff(c_180039,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180033,c_178]) ).
tff(c_180777,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_180760,c_180479,c_180039,c_14]) ).
tff(c_180781,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180777,c_174]) ).
tff(c_180767,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175399,c_180478,c_177768,c_18]) ).
tff(c_180772,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180767,c_124]) ).
tff(c_180813,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_180781,c_180772,c_177771,c_22]) ).
tff(c_180887,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_180813,c_177765,c_180813,c_180731,c_180813,c_177765,c_180813,c_752]) ).
tff(c_180889,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_180463]) ).
tff(c_180935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175392,c_180889,c_158144,c_180037,c_32]) ).
tff(c_180936,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_180031]) ).
tff(c_181380,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180936,c_175393,c_84]) ).
tff(c_181381,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_177772,c_200,c_181380]) ).
tff(c_181405,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181381,c_180936,c_175393,c_92]) ).
tff(c_181406,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_181405]) ).
tff(c_181411,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181406,c_164]) ).
tff(c_180944,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180936,c_180]) ).
tff(c_181293,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180944,c_177771,c_22]) ).
tff(c_181294,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_181293]) ).
tff(c_181297,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_181294,c_132]) ).
tff(c_181128,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180944,c_177771,c_22]) ).
tff(c_181129,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_181128]) ).
tff(c_181135,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_181129,c_172]) ).
tff(c_181134,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_181129,c_174]) ).
tff(c_180943,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_180936,c_178]) ).
tff(c_180950,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_179617]) ).
tff(c_180955,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180950,c_120]) ).
tff(c_181194,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_181134,c_180943,c_180955,c_14]) ).
tff(c_181199,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181194,c_170]) ).
tff(c_179624,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179070,c_100]) ).
tff(c_181206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181135,c_181199,c_158139,c_179624,c_6]) ).
tff(c_181207,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_181128]) ).
tff(c_181229,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181207,c_172]) ).
tff(c_181253,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_181229,c_158139,c_179624,c_6]) ).
tff(c_181258,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_181253,c_102]) ).
tff(c_180962,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180936,c_175393,c_92]) ).
tff(c_180963,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_180962]) ).
tff(c_180964,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_180963]) ).
tff(c_181114,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180964,c_180936,c_175393,c_84]) ).
tff(c_181115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_177772,c_200,c_181114]) ).
tff(c_181116,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_180963]) ).
tff(c_181123,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181116,c_164]) ).
tff(c_181278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181258,c_181123,c_158140,c_177769,c_4]) ).
tff(c_181279,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_179617]) ).
tff(c_181286,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181279,c_186]) ).
tff(c_181367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181297,c_181286,c_158143,c_177767,c_24]) ).
tff(c_181368,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_181293]) ).
tff(c_181375,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181368,c_172]) ).
tff(c_181418,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_181375,c_158139,c_179624,c_6]) ).
tff(c_181449,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_181418,c_179070,c_44]) ).
tff(c_181450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_181411,c_196,c_181449]) ).
tff(c_181451,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_177763]) ).
tff(c_181453,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_181451]) ).
tff(c_183074,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_122]) ).
tff(c_183077,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_126]) ).
tff(c_183083,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_183077,c_22]) ).
tff(c_183084,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_183083]) ).
tff(c_183086,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_183084,c_132]) ).
tff(c_183073,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_130]) ).
tff(c_183456,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_183086,c_183073,c_158143,c_24]) ).
tff(c_183609,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_183084,c_183456,c_183084,c_158135,c_183456,c_183084,c_183084,c_726]) ).
tff(c_183610,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_183083]) ).
tff(c_184018,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_183610]) ).
tff(c_184083,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184018,c_180]) ).
tff(c_181478,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_16]) ).
tff(c_181479,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_181478]) ).
tff(c_181484,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_181479,c_186]) ).
tff(c_181458,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_130]) ).
tff(c_181793,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_181484,c_181458,c_158143,c_24]) ).
tff(c_181462,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_126]) ).
tff(c_181490,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_181462,c_22]) ).
tff(c_181491,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_181490]) ).
tff(c_181502,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_181484,c_181458,c_158143,c_24]) ).
tff(c_181703,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_181491,c_181502,c_181491,c_158135,c_181491,c_181502,c_181491,c_726]) ).
tff(c_181704,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_181490]) ).
tff(c_181706,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_181704]) ).
tff(c_181709,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_181706,c_132]) ).
tff(c_181756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181484,c_181458,c_158143,c_181709,c_24]) ).
tff(c_181757,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_181704]) ).
tff(c_181829,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181793,c_181757,c_181453,c_80]) ).
tff(c_181830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_175399,c_181829]) ).
tff(c_181831,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_181478]) ).
tff(c_182009,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_181831]) ).
tff(c_182016,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182009,c_190]) ).
tff(c_181463,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_168]) ).
tff(c_181833,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_88]) ).
tff(c_181834,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_181833]) ).
tff(c_181835,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_181834]) ).
tff(c_181841,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181835,c_180]) ).
tff(c_181454,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_2]) ).
tff(c_181455,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_181454]) ).
tff(c_181471,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181455,c_146]) ).
tff(c_181846,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_181831]) ).
tff(c_181850,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_181846,c_116]) ).
tff(c_181914,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_175398,c_181471,c_181850,c_10]) ).
tff(c_181918,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181914,c_150]) ).
tff(c_181936,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_72]) ).
tff(c_181937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158143,c_181841,c_198,c_181918,c_181936]) ).
tff(c_181938,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_181831]) ).
tff(c_181946,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181938,c_190]) ).
tff(c_181954,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_175392,c_181946,c_158144,c_32]) ).
tff(c_181995,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181954,c_181835,c_175393,c_92]) ).
tff(c_181996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_181463,c_204,c_181995]) ).
tff(c_181997,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_181834]) ).
tff(c_182314,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181997,c_175393,c_84]) ).
tff(c_182315,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_182314]) ).
tff(c_182316,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_182315]) ).
tff(c_182317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182016,c_182316]) ).
tff(c_182318,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_182315]) ).
tff(c_182042,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181997,c_175393,c_92]) ).
tff(c_182043,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_182042]) ).
tff(c_182044,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_182043]) ).
tff(c_182048,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_182044,c_144]) ).
tff(c_181998,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_181834]) ).
tff(c_181461,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_162]) ).
tff(c_182003,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181997,c_166]) ).
tff(c_182012,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182009,c_118]) ).
tff(c_182081,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_181461,c_182003,c_182012,c_12]) ).
tff(c_181472,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181455,c_100]) ).
tff(c_182021,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_181472,c_158139,c_6]) ).
tff(c_182022,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_182021]) ).
tff(c_182025,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_182022,c_172]) ).
tff(c_182056,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_182025,c_181462,c_22]) ).
tff(c_182057,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_182056]) ).
tff(c_182095,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182057,c_181453,c_80]) ).
tff(c_182096,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_175399,c_182095]) ).
tff(c_181459,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_122]) ).
tff(c_182061,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182057,c_124]) ).
tff(c_182116,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_175399,c_181459,c_182061,c_18]) ).
tff(c_182072,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_175395,c_182048,c_181998,c_30]) ).
tff(c_182240,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181997,c_158135,c_182009,c_182081,c_182044,c_182096,c_182116,c_182072,c_650]) ).
tff(c_182241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_204,c_196,c_182240]) ).
tff(c_182242,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_182056]) ).
tff(c_182250,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182242,c_180]) ).
tff(c_182259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175395,c_182048,c_181998,c_182250,c_30]) ).
tff(c_182261,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_182043]) ).
tff(c_182311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175392,c_182261,c_158144,c_182016,c_32]) ).
tff(c_182312,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_182021]) ).
tff(c_182325,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182312,c_176]) ).
tff(c_182341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182318,c_182325]) ).
tff(c_182342,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_181831]) ).
tff(c_182757,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_182342,c_190]) ).
tff(c_181460,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_160]) ).
tff(c_182359,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_182342,c_120]) ).
tff(c_182367,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181997,c_175393,c_84]) ).
tff(c_182368,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_182367]) ).
tff(c_182369,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_182368]) ).
tff(c_182374,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182369,c_192]) ).
tff(c_182390,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_181458,c_158143,c_182374,c_24]) ).
tff(c_182344,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_181461,c_182003,c_12]) ).
tff(c_182345,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_182344]) ).
tff(c_182348,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_182345,c_158]) ).
tff(c_182400,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_182348,c_181460,c_158140,c_4]) ).
tff(c_182451,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_182400,c_181455,c_48]) ).
tff(c_182452,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_182451]) ).
tff(c_182425,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_181455,c_38]) ).
tff(c_182426,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_182425]) ).
tff(c_182427,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_182426]) ).
tff(c_182431,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182427,c_150]) ).
tff(c_182436,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_175398,c_181471,c_182431,c_10]) ).
tff(c_182411,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182390,c_181453,c_68]) ).
tff(c_182412,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_182411]) ).
tff(c_182413,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_182412]) ).
tff(c_182379,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_181462,c_182359,c_181472,c_74]) ).
tff(c_182564,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182390,c_182452,c_181455,c_182436,c_182369,c_182390,c_182413,c_182379,c_490]) ).
tff(c_182565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_200,c_196,c_182564]) ).
tff(c_182567,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_182426]) ).
tff(c_182576,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182390,c_182413,c_181453,c_72]) ).
tff(c_182577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_182567,c_182576]) ).
tff(c_182578,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_182412]) ).
tff(c_182404,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182400,c_102]) ).
tff(c_182592,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182390,c_181453,c_182578,c_72]) ).
tff(c_182593,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_182592]) ).
tff(c_182603,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182379,c_182593,c_66]) ).
tff(c_182604,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_182404,c_182603]) ).
tff(c_182733,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181997,c_158135,c_182578,c_182604,c_182604,c_181453,c_182345,c_181997,c_664]) ).
tff(c_182734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_194,c_202,c_182733]) ).
tff(c_182735,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_182368]) ).
tff(c_182747,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182735,c_74]) ).
tff(c_182748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_181462,c_182359,c_181472,c_182747]) ).
tff(c_182749,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_182344]) ).
tff(c_182765,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182749,c_158]) ).
tff(c_182785,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_181460,c_158140,c_182765,c_4]) ).
tff(c_182806,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_72]) ).
tff(c_182807,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158143,c_198,c_182806]) ).
tff(c_182808,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_182807]) ).
tff(c_182811,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182808,c_124]) ).
tff(c_182831,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_175399,c_181459,c_182811,c_18]) ).
tff(c_182850,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182808,c_181453,c_182831,c_80]) ).
tff(c_182851,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_182850]) ).
tff(c_182789,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_182785,c_102]) ).
tff(c_182773,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181997,c_175393,c_84]) ).
tff(c_182774,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_182773]) ).
tff(c_182775,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_182774]) ).
tff(c_182794,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182775,c_181997,c_175393,c_92]) ).
tff(c_182795,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_182794]) ).
tff(c_182840,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182795,c_182808,c_78]) ).
tff(c_182841,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_182789,c_182840]) ).
tff(c_182967,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182342,c_182785,c_182851,c_182841,c_181455,c_182831,c_182749,c_181997,c_400]) ).
tff(c_182968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_194,c_182967]) ).
tff(c_182969,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_182807]) ).
tff(c_182974,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182969,c_150]) ).
tff(c_182767,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182749,c_110]) ).
tff(c_183009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175398,c_181471,c_182974,c_182767,c_10]) ).
tff(c_183010,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_182774]) ).
tff(c_183067,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183010,c_181997,c_175393,c_92]) ).
tff(c_183068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182757,c_196,c_198,c_204,c_183067]) ).
tff(c_183069,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_181454]) ).
tff(c_183836,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183069,c_100]) ).
tff(c_183855,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158139,c_183836,c_6]) ).
tff(c_183856,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_183855]) ).
tff(c_183862,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_183856,c_102]) ).
tff(c_183075,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_160]) ).
tff(c_183837,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183069,c_98]) ).
tff(c_183930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_183862,c_183075,c_158140,c_183837,c_4]) ).
tff(c_183931,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_183855]) ).
tff(c_183937,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_183931,c_176]) ).
tff(c_183078,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_168]) ).
tff(c_183842,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_84]) ).
tff(c_183843,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_183842]) ).
tff(c_183844,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_183843]) ).
tff(c_184014,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183844,c_175393,c_92]) ).
tff(c_184015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_183937,c_183078,c_204,c_184014]) ).
tff(c_184016,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_183843]) ).
tff(c_184109,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_184083,c_184016]) ).
tff(c_184019,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158139,c_183836,c_6]) ).
tff(c_184020,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_184019]) ).
tff(c_184036,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184020,c_102]) ).
tff(c_184074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184036,c_183075,c_158140,c_183837,c_4]) ).
tff(c_184075,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_184019]) ).
tff(c_184131,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_183075,c_158140,c_183837,c_4]) ).
tff(c_184135,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184131,c_158]) ).
tff(c_183076,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_181453,c_162]) ).
tff(c_184114,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184109,c_166]) ).
tff(c_184161,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_184135,c_183076,c_184114,c_12]) ).
tff(c_184166,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184161,c_110]) ).
tff(c_183835,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183069,c_146]) ).
tff(c_184171,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175398,c_184166,c_183835,c_10]) ).
tff(c_183834,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183069,c_148]) ).
tff(c_184181,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_175399,c_183074,c_183834,c_18]) ).
tff(c_184296,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184109,c_158135,c_184075,c_184171,c_184131,c_184181,c_158135,c_175393,c_590]) ).
tff(c_184297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_200,c_194,c_184296]) ).
tff(c_184298,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_183610]) ).
tff(c_184303,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184298,c_124]) ).
tff(c_184334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175399,c_183074,c_184303,c_183834,c_18]) ).
tff(c_184335,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_181451]) ).
tff(c_184340,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184335,c_122]) ).
tff(c_184350,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175399,c_184340,c_18]) ).
tff(c_184351,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_184350]) ).
tff(c_184354,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184351,c_148]) ).
tff(c_185648,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_175397,c_184354,c_158141,c_2]) ).
tff(c_184344,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184335,c_168]) ).
tff(c_184373,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_32]) ).
tff(c_184374,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_184373]) ).
tff(c_184479,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184374,c_175393,c_84]) ).
tff(c_184480,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_184479]) ).
tff(c_184481,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_184480]) ).
tff(c_184491,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184374,c_184481,c_175393,c_88]) ).
tff(c_184492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_184344,c_202,c_184491]) ).
tff(c_184493,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_184480]) ).
tff(c_184527,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184374,c_184493,c_175393,c_88]) ).
tff(c_184528,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_184527]) ).
tff(c_184362,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_4]) ).
tff(c_184363,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_184362]) ).
tff(c_184367,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184363,c_102]) ).
tff(c_184378,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184374,c_144]) ).
tff(c_184357,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184351,c_124]) ).
tff(c_184387,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_184378,c_184357,c_74]) ).
tff(c_184388,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_184387]) ).
tff(c_184391,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184388,c_170]) ).
tff(c_184399,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_184367,c_184391,c_158139,c_6]) ).
tff(c_184405,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184399,c_100]) ).
tff(c_184466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175397,c_184354,c_158141,c_184405,c_2]) ).
tff(c_184467,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_184387]) ).
tff(c_184515,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184467,c_78]) ).
tff(c_184516,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_175395,c_204,c_184515]) ).
tff(c_184517,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_184516]) ).
tff(c_184605,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184528,c_184517,c_184467,c_66]) ).
tff(c_184606,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_184605]) ).
tff(c_184653,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_184374,c_184528,c_184374,c_184606,c_184528,c_184374,c_184374,c_734]) ).
tff(c_184654,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_184516]) ).
tff(c_184659,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184654,c_120]) ).
tff(c_184380,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184374,c_190]) ).
tff(c_184679,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_184659,c_184380,c_158142,c_16]) ).
tff(c_184355,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184351,c_128]) ).
tff(c_184684,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184679,c_186]) ).
tff(c_184714,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_184355,c_158143,c_184684,c_24]) ).
tff(c_184495,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_175397,c_184354,c_158141,c_2]) ).
tff(c_184666,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_184351,c_184495,c_38]) ).
tff(c_184667,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_184666]) ).
tff(c_184705,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184679,c_184654,c_184667,c_60]) ).
tff(c_184706,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_184705]) ).
tff(c_184724,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184374,c_184493,c_175393,c_88]) ).
tff(c_184725,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_184724]) ).
tff(c_184819,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184679,c_184363,c_184714,c_184654,c_184706,c_184335,c_184335,c_184725,c_410]) ).
tff(c_184820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_198,c_198,c_184819]) ).
tff(c_184821,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_184373]) ).
tff(c_184844,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184821,c_192]) ).
tff(c_184901,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_184355,c_158143,c_184844,c_24]) ).
tff(c_184905,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184901,c_132]) ).
tff(c_184343,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184335,c_126]) ).
tff(c_184911,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_184905,c_184357,c_184343,c_22]) ).
tff(c_184864,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_184367,c_158139,c_6]) ).
tff(c_184865,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_184864]) ).
tff(c_184887,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_184351,c_38]) ).
tff(c_184888,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_158141,c_184887]) ).
tff(c_184365,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184363,c_158]) ).
tff(c_184823,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_92]) ).
tff(c_184824,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_184823]) ).
tff(c_184825,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_184824]) ).
tff(c_184836,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_184825,c_184821]) ).
tff(c_184837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_184836]) ).
tff(c_184838,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_184824]) ).
tff(c_184854,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_184838]) ).
tff(c_184859,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184854,c_166]) ).
tff(c_184342,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184335,c_162]) ).
tff(c_184962,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_184365,c_184859,c_184342,c_12]) ).
tff(c_184876,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184821,c_184854,c_175393,c_88]) ).
tff(c_184877,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_184876]) ).
tff(c_185066,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184911,c_184865,c_184363,c_184888,c_184962,c_184335,c_184335,c_184877,c_474]) ).
tff(c_185067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_198,c_185066]) ).
tff(c_185068,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_184864]) ).
tff(c_185075,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185068,c_100]) ).
tff(c_185130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175397,c_184354,c_158141,c_185075,c_2]) ).
tff(c_185131,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_184838]) ).
tff(c_185143,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184821,c_185131,c_175393,c_88]) ).
tff(c_185144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_184344,c_202,c_185143]) ).
tff(c_185145,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_184362]) ).
tff(c_185159,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_185145]) ).
tff(c_185166,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185159,c_98]) ).
tff(c_185171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175397,c_184354,c_158141,c_185166,c_2]) ).
tff(c_185172,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_185145]) ).
tff(c_185177,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185172,c_164]) ).
tff(c_185184,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_32]) ).
tff(c_185185,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_185184]) ).
tff(c_185191,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185185,c_190]) ).
tff(c_185198,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_185191,c_158142,c_16]) ).
tff(c_185199,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_185198]) ).
tff(c_185205,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_185199,c_186]) ).
tff(c_185147,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158139,c_6]) ).
tff(c_185148,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_185147]) ).
tff(c_185150,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_185148,c_172]) ).
tff(c_185234,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_185150,c_184357,c_184343,c_22]) ).
tff(c_185238,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185234,c_132]) ).
tff(c_185267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_185205,c_184355,c_158143,c_185238,c_24]) ).
tff(c_185268,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_185198]) ).
tff(c_185276,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185268,c_186]) ).
tff(c_185393,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_184355,c_158143,c_185276,c_24]) ).
tff(c_184356,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184351,c_150]) ).
tff(c_185274,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185268,c_116]) ).
tff(c_185367,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_175398,c_184356,c_185274,c_10]) ).
tff(c_185306,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185185,c_175393,c_88]) ).
tff(c_185307,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_184344,c_202,c_185306]) ).
tff(c_185456,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185393,c_185148,c_185172,c_185367,c_185185,c_185393,c_184335,c_185307,c_490]) ).
tff(c_185457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_204,c_198,c_185456]) ).
tff(c_185458,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_185184]) ).
tff(c_185489,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185458,c_175393,c_88]) ).
tff(c_185490,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_184344,c_202,c_185489]) ).
tff(c_185537,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185458,c_185490,c_175393,c_92]) ).
tff(c_185538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_185177,c_204,c_185537]) ).
tff(c_185539,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_185147]) ).
tff(c_185554,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_185539]) ).
tff(c_185561,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185554,c_100]) ).
tff(c_185622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175397,c_184354,c_158141,c_185561,c_2]) ).
tff(c_185623,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_185539]) ).
tff(c_185630,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185623,c_102]) ).
tff(c_185637,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_185630,c_185145]) ).
tff(c_185643,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185637,c_98]) ).
tff(c_185658,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_185648,c_185643]) ).
tff(c_185659,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_184350]) ).
tff(c_185663,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185659,c_148]) ).
tff(c_185777,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_185663,c_2]) ).
tff(c_185672,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158139,c_6]) ).
tff(c_185673,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_185672]) ).
tff(c_185729,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_88]) ).
tff(c_185730,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_184344,c_202,c_185729]) ).
tff(c_185890,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_185777,c_185673,c_185777,c_185730,c_185777,c_185673,c_185777,c_732]) ).
tff(c_185891,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_185672]) ).
tff(c_185893,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_185891]) ).
tff(c_185898,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185893,c_176]) ).
tff(c_185933,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_175395,c_185915,c_185898,c_30]) ).
tff(c_186027,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185908,c_185933,c_175393,c_84]) ).
tff(c_186028,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_186027]) ).
tff(c_185971,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_185663,c_2]) ).
tff(c_185975,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185971,c_98]) ).
tff(c_185899,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185893,c_102]) ).
tff(c_185986,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_185975,c_158140,c_185899,c_4]) ).
tff(c_185953,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_185659,c_38]) ).
tff(c_185954,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_158141,c_185953]) ).
tff(c_186115,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186028,c_158135,c_185986,c_185954,c_185971,c_185659,c_158135,c_175393,c_590]) ).
tff(c_186116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_196,c_194,c_186115]) ).
tff(c_186117,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_185907]) ).
tff(c_186124,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186117,c_190]) ).
tff(c_186406,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_186124,c_16]) ).
tff(c_186407,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_186406]) ).
tff(c_186412,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186407,c_186]) ).
tff(c_185666,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185659,c_124]) ).
tff(c_186132,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_184343,c_185666,c_22]) ).
tff(c_186133,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_186132]) ).
tff(c_186136,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186133,c_132]) ).
tff(c_186197,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_186124,c_16]) ).
tff(c_186198,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_186197]) ).
tff(c_186143,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_185663,c_2]) ).
tff(c_186148,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186143,c_98]) ).
tff(c_186165,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_186148,c_158140,c_185899,c_4]) ).
tff(c_186175,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186117,c_175393,c_88]) ).
tff(c_186176,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_184344,c_202,c_186175]) ).
tff(c_186231,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186117,c_186198,c_158135,c_90]) ).
tff(c_186232,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_186231]) ).
tff(c_186335,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186198,c_186165,c_186117,c_186198,c_186176,c_186232,c_184335,c_186176,c_458]) ).
tff(c_186336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_202,c_198,c_186335]) ).
tff(c_186337,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_186197]) ).
tff(c_186349,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186117,c_186337,c_158135,c_94]) ).
tff(c_186350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_186136,c_204,c_202,c_186349]) ).
tff(c_186351,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_186132]) ).
tff(c_186423,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186351,c_184335,c_185659,c_80]) ).
tff(c_186424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186412,c_204,c_202,c_200,c_186423]) ).
tff(c_186425,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_186406]) ).
tff(c_186429,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186425,c_118]) ).
tff(c_186363,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_185899,c_4]) ).
tff(c_186364,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_186363]) ).
tff(c_186439,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184335,c_186364,c_58]) ).
tff(c_186440,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_186429,c_204,c_186439]) ).
tff(c_186374,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_185663,c_2]) ).
tff(c_186383,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175393,c_185659,c_186374,c_38]) ).
tff(c_186384,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_186383]) ).
tff(c_186563,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186440,c_158135,c_186364,c_186384,c_186374,c_185659,c_158135,c_175393,c_590]) ).
tff(c_186564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_196,c_194,c_186563]) ).
tff(c_186565,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_186363]) ).
tff(c_186571,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186565,c_98]) ).
tff(c_186577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175397,c_186571,c_158141,c_185663,c_2]) ).
tff(c_186578,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_185891]) ).
tff(c_186580,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175397,c_158141,c_185663,c_2]) ).
tff(c_186585,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186580,c_100]) ).
tff(c_186603,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186578,c_186585]) ).
tff(c_186604,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_175391]) ).
tff(c_186606,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_186604]) ).
tff(c_186619,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_84]) ).
tff(c_186620,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_186619]) ).
tff(c_186621,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_186620]) ).
tff(c_189132,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_88]) ).
tff(c_189133,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_189132]) ).
tff(c_189134,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_189133]) ).
tff(c_189156,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_189134,c_92]) ).
tff(c_189157,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_189156]) ).
tff(c_186611,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_178]) ).
tff(c_186612,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_180]) ).
tff(c_186627,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_190]) ).
tff(c_186632,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_186627,c_16]) ).
tff(c_186633,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_186632]) ).
tff(c_188626,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186633,c_158135,c_90]) ).
tff(c_188627,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_188626]) ).
tff(c_188631,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188627,c_132]) ).
tff(c_187972,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186633,c_158135,c_90]) ).
tff(c_187973,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_187972]) ).
tff(c_187977,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187973,c_128]) ).
tff(c_186655,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186633,c_158135,c_90]) ).
tff(c_186656,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_186655]) ).
tff(c_186661,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186656,c_128]) ).
tff(c_186610,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_176]) ).
tff(c_186634,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_186647,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186634,c_160]) ).
tff(c_186692,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_48]) ).
tff(c_186693,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_186610,c_186647,c_186692]) ).
tff(c_186638,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186633,c_116]) ).
tff(c_186666,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_88]) ).
tff(c_186667,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_186666]) ).
tff(c_186668,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_186667]) ).
tff(c_186678,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_186668,c_92]) ).
tff(c_186679,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_186678]) ).
tff(c_186684,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186679,c_154]) ).
tff(c_186637,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186633,c_118]) ).
tff(c_186706,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186647,c_158140,c_4]) ).
tff(c_186707,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_186706]) ).
tff(c_186710,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186707,c_158]) ).
tff(c_186672,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_186668,c_166]) ).
tff(c_186716,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186679,c_186693,c_34]) ).
tff(c_186717,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_186716]) ).
tff(c_186718,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_186717]) ).
tff(c_186721,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186718,c_150]) ).
tff(c_186751,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_186638,c_186684,c_186721,c_10]) ).
tff(c_186755,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_186751,c_112]) ).
tff(c_186727,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_186637,c_186710,c_186672,c_12]) ).
tff(c_186731,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186727,c_114]) ).
tff(c_186785,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_186611,c_186755,c_186731,c_14]) ).
tff(c_186660,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186656,c_132]) ).
tff(c_186722,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186718,c_124]) ).
tff(c_186770,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_186612,c_186660,c_186722,c_22]) ).
tff(c_186871,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186785,c_186707,c_186770,c_186785,c_186693,c_186718,c_186727,c_186668,c_400]) ).
tff(c_186872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_200,c_194,c_186871]) ).
tff(c_186873,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_186717]) ).
tff(c_186879,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186873,c_110]) ).
tff(c_186912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186637,c_186710,c_186672,c_186879,c_12]) ).
tff(c_186913,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_186706]) ).
tff(c_186928,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_186913,c_186693,c_44]) ).
tff(c_186929,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_186928]) ).
tff(c_186934,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186929,c_170]) ).
tff(c_186939,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_186611,c_186934,c_14]) ).
tff(c_186940,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_186939]) ).
tff(c_186944,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_186940,c_112]) ).
tff(c_186646,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186634,c_122]) ).
tff(c_186950,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_186646,c_186661,c_18]) ).
tff(c_186951,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_186950]) ).
tff(c_187045,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186679,c_186621,c_186951,c_186621,c_186679,c_186621,c_758]) ).
tff(c_187046,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_186950]) ).
tff(c_187051,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187046,c_150]) ).
tff(c_187057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186638,c_186684,c_186944,c_187051,c_10]) ).
tff(c_187058,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_186939]) ).
tff(c_186917,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186913,c_158]) ).
tff(c_187070,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_186637,c_186672,c_186917,c_12]) ).
tff(c_187063,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187058,c_112]) ).
tff(c_187079,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_186638,c_186684,c_187063,c_10]) ).
tff(c_187083,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187079,c_150]) ).
tff(c_187094,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_186646,c_186661,c_187083,c_18]) ).
tff(c_240,plain,
( ( op(e2,op(e0,e2)) = e2 )
| ( op(e3,op(e1,e3)) = e3 )
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_187200,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_186693,c_187058,c_187070,c_186693,c_187094,c_187070,c_186668,c_240]) ).
tff(c_187201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_200,c_198,c_187200]) ).
tff(c_187202,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_186667]) ).
tff(c_187208,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187202,c_154]) ).
tff(c_187216,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186647,c_158140,c_4]) ).
tff(c_187217,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_187216]) ).
tff(c_187221,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187217,c_164]) ).
tff(c_187296,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_187202,c_92]) ).
tff(c_187297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_187221,c_198,c_187296]) ).
tff(c_187298,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_187216]) ).
tff(c_187311,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_187298,c_48]) ).
tff(c_187312,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_186610,c_200,c_187311]) ).
tff(c_187322,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187202,c_187312,c_34]) ).
tff(c_187323,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_187322]) ).
tff(c_187324,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_187323]) ).
tff(c_187328,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187324,c_150]) ).
tff(c_187411,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_186638,c_187208,c_187328,c_10]) ).
tff(c_187503,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_187202,c_186621,c_187411,c_186621,c_187202,c_186621,c_762]) ).
tff(c_187504,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_187323]) ).
tff(c_187549,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187202,c_187504,c_187312,c_42]) ).
tff(c_187550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_186661,c_196,c_204,c_187549]) ).
tff(c_187551,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_187563,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_187551]) ).
tff(c_187569,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187563,c_126]) ).
tff(c_187558,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186633,c_186]) ).
tff(c_187575,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186612,c_22]) ).
tff(c_187576,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_187575]) ).
tff(c_187579,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187576,c_132]) ).
tff(c_186626,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_192]) ).
tff(c_187598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187558,c_187579,c_158143,c_186626,c_24]) ).
tff(c_187599,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_187575]) ).
tff(c_187601,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_187569,c_187599]) ).
tff(c_187606,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187601,c_124]) ).
tff(c_187566,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187563,c_122]) ).
tff(c_188198,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_187977,c_187606,c_187566,c_18]) ).
tff(c_188202,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188198,c_148]) ).
tff(c_187982,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_92]) ).
tff(c_187983,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_187982]) ).
tff(c_187984,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_187983]) ).
tff(c_187989,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187984,c_164]) ).
tff(c_187567,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187563,c_160]) ).
tff(c_187994,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_187989,c_158140,c_187567,c_4]) ).
tff(c_188130,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187601,c_187563,c_187601,c_187994,c_187563,c_187601,c_187601,c_752]) ).
tff(c_188131,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_187983]) ).
tff(c_188136,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188131,c_152]) ).
tff(c_187613,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186610,c_158139,c_6]) ).
tff(c_187614,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_187613]) ).
tff(c_187618,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187614,c_102]) ).
tff(c_187844,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_187618,c_158140,c_187567,c_4]) ).
tff(c_187959,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187601,c_187563,c_187601,c_187844,c_187563,c_187601,c_187601,c_752]) ).
tff(c_187960,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_187613]) ).
tff(c_187966,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187960,c_100]) ).
tff(c_188208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188202,c_188136,c_158141,c_187966,c_2]) ).
tff(c_188209,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_187551]) ).
tff(c_188211,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_188209]) ).
tff(c_188214,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188211,c_130]) ).
tff(c_188224,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186633,c_158135,c_90]) ).
tff(c_188225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_188214,c_204,c_198,c_188224]) ).
tff(c_188226,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_188209]) ).
tff(c_188235,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188226,c_126]) ).
tff(c_188255,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_187558,c_158143,c_186626,c_24]) ).
tff(c_188260,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188255,c_128]) ).
tff(c_188236,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188226,c_168]) ).
tff(c_186605,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_175391]) ).
tff(c_186624,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_140]) ).
tff(c_188265,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186605,c_186624,c_26]) ).
tff(c_188266,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_188265]) ).
tff(c_188387,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_188266,c_88]) ).
tff(c_188388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_188236,c_198,c_188387]) ).
tff(c_188389,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_188265]) ).
tff(c_188243,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186610,c_158139,c_6]) ).
tff(c_188244,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_188243]) ).
tff(c_188247,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188244,c_172]) ).
tff(c_188402,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_186612,c_188247,c_188235,c_22]) ).
tff(c_188406,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188402,c_124]) ).
tff(c_188249,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188244,c_102]) ).
tff(c_188412,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_188249,c_158140,c_4]) ).
tff(c_188413,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_188412]) ).
tff(c_188418,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188413,c_98]) ).
tff(c_188250,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188244,c_100]) ).
tff(c_188445,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_188418,c_188250,c_158141,c_2]) ).
tff(c_188467,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188389,c_188445,c_42]) ).
tff(c_188468,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_188260,c_196,c_188467]) ).
tff(c_188557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_188389,c_186621,c_188468,c_188389,c_186621,c_186621,c_762]) ).
tff(c_188558,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_188412]) ).
tff(c_188564,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188558,c_98]) ).
tff(c_188572,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188389,c_34]) ).
tff(c_188573,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_188406,c_188564,c_188572]) ).
tff(c_188601,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_188250,c_158141,c_188564,c_2]) ).
tff(c_188622,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188389,c_188573,c_188601,c_42]) ).
tff(c_188623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_188260,c_196,c_204,c_188622]) ).
tff(c_188624,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_188243]) ).
tff(c_188639,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188624,c_172]) ).
tff(c_188674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186612,c_188631,c_188235,c_188639,c_22]) ).
tff(c_188675,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_186632]) ).
tff(c_188693,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_120]) ).
tff(c_189138,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189134,c_168]) ).
tff(c_188694,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_186]) ).
tff(c_189145,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_188694,c_158143,c_186626,c_24]) ).
tff(c_189171,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189145,c_72]) ).
tff(c_189172,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_189138,c_189171]) ).
tff(c_189173,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_189172]) ).
tff(c_189178,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189173,c_174]) ).
tff(c_188677,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_4]) ).
tff(c_188678,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_188677]) ).
tff(c_188680,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188678,c_158]) ).
tff(c_188700,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_188680,c_12]) ).
tff(c_188701,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_188700]) ).
tff(c_188691,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_118]) ).
tff(c_188712,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_188701,c_188691]) ).
tff(c_188713,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_188700]) ).
tff(c_188715,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_188713]) ).
tff(c_188720,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188715,c_114]) ).
tff(c_189205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186611,c_188693,c_189178,c_188720,c_14]) ).
tff(c_189206,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_189172]) ).
tff(c_189323,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_189157,c_186621,c_189206,c_186621,c_189157,c_186621,c_758]) ).
tff(c_189324,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_189133]) ).
tff(c_189335,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_189324,c_92]) ).
tff(c_189336,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_189335]) ).
tff(c_188692,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_116]) ).
tff(c_189329,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189324,c_154]) ).
tff(c_188721,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188715,c_110]) ).
tff(c_189359,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_188692,c_189329,c_188721,c_10]) ).
tff(c_188748,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_188694,c_158143,c_186626,c_24]) ).
tff(c_188684,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188678,c_98]) ).
tff(c_188726,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_188684,c_158141,c_2]) ).
tff(c_188727,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_188726]) ).
tff(c_188732,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188727,c_152]) ).
tff(c_188759,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_188692,c_188721,c_10]) ).
tff(c_188760,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_188759]) ).
tff(c_188763,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188760,c_150]) ).
tff(c_188730,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188727,c_148]) ).
tff(c_188770,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_188763,c_188730,c_18]) ).
tff(c_188771,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_188770]) ).
tff(c_188776,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188771,c_156]) ).
tff(c_188824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186605,c_188732,c_188776,c_186624,c_26]) ).
tff(c_188825,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_188770]) ).
tff(c_188839,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188748,c_188825,c_72]) ).
tff(c_188840,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_188839]) ).
tff(c_188841,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_188840]) ).
tff(c_188845,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188841,c_174]) ).
tff(c_188911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186611,c_188693,c_188845,c_188720,c_14]) ).
tff(c_188912,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_188840]) ).
tff(c_188913,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_188840]) ).
tff(c_188733,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188727,c_100]) ).
tff(c_188738,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_186610,c_188733,c_158139,c_6]) ).
tff(c_188942,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_188738,c_70]) ).
tff(c_188943,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_188913,c_194,c_188942]) ).
tff(c_188917,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_188912,c_168]) ).
tff(c_188928,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_88]) ).
tff(c_188929,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_188917,c_188928]) ).
tff(c_189051,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_188678,c_188912,c_188943,c_188727,c_188825,c_188678,c_188929,c_398]) ).
tff(c_189052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_196,c_200,c_189051]) ).
tff(c_189053,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_188759]) ).
tff(c_189107,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_188715,c_189053,c_64]) ).
tff(c_189108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_186611,c_200,c_202,c_189107]) ).
tff(c_189109,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_188726]) ).
tff(c_189116,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189109,c_100]) ).
tff(c_189122,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_186610,c_158139,c_189116,c_6]) ).
tff(c_189346,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_188694,c_158143,c_186626,c_24]) ).
tff(c_189351,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189346,c_128]) ).
tff(c_189330,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189324,c_156]) ).
tff(c_189113,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189109,c_148]) ).
tff(c_189369,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_189351,c_189330,c_189113,c_18]) ).
tff(c_189499,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189336,c_158135,c_189359,c_188715,c_189122,c_189369,c_189324,c_186621,c_628]) ).
tff(c_189500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_196,c_202,c_189499]) ).
tff(c_189501,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_188713]) ).
tff(c_189508,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189501,c_166]) ).
tff(c_189507,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189501,c_162]) ).
tff(c_188681,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188678,c_160]) ).
tff(c_189724,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_92]) ).
tff(c_189725,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_189724]) ).
tff(c_189726,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_189725]) ).
tff(c_189731,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189726,c_168]) ).
tff(c_189613,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_88]) ).
tff(c_189614,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_189508,c_189613]) ).
tff(c_189619,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189614,c_156]) ).
tff(c_189528,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158143,c_189507,c_72]) ).
tff(c_189529,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_189528]) ).
tff(c_189516,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_188684,c_158141,c_2]) ).
tff(c_189517,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_189516]) ).
tff(c_189523,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189517,c_100]) ).
tff(c_189589,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_186610,c_189523,c_158139,c_6]) ).
tff(c_189609,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_189529,c_189589,c_74]) ).
tff(c_189610,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_188693,c_196,c_189609]) ).
tff(c_189611,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_189528]) ).
tff(c_189625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189619,c_189611]) ).
tff(c_189626,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_189516]) ).
tff(c_189630,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189626,c_148]) ).
tff(c_189639,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_189630,c_18]) ).
tff(c_189640,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_189639]) ).
tff(c_189643,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189640,c_150]) ).
tff(c_189510,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189501,c_110]) ).
tff(c_189631,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189626,c_146]) ).
tff(c_189721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189643,c_188692,c_189510,c_189631,c_10]) ).
tff(c_189722,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_189639]) ).
tff(c_189736,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_189722]) ).
tff(c_189741,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189736,c_124]) ).
tff(c_189760,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186612,c_189741,c_22]) ).
tff(c_189761,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_189760]) ).
tff(c_189767,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189761,c_172]) ).
tff(c_189633,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189626,c_100]) ).
tff(c_189782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186610,c_189767,c_158139,c_189633,c_6]) ).
tff(c_189783,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_189760]) ).
tff(c_189789,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189783,c_126]) ).
tff(c_189809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188681,c_189731,c_189507,c_189789,c_20]) ).
tff(c_189810,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_189722]) ).
tff(c_189826,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189810,c_72]) ).
tff(c_189827,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_158143,c_189507,c_198,c_189826]) ).
tff(c_189868,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_188681,c_189731,c_189507,c_20]) ).
tff(c_189961,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189827,c_189868,c_189827,c_188678,c_189868,c_189827,c_189827,c_752]) ).
tff(c_189962,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_189725]) ).
tff(c_190009,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_189962,c_88]) ).
tff(c_190010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_189508,c_198,c_190009]) ).
tff(c_190011,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_188677]) ).
tff(c_191460,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_190011]) ).
tff(c_191466,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191460,c_102]) ).
tff(c_191472,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186610,c_158139,c_6]) ).
tff(c_191473,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_191472]) ).
tff(c_191478,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191473,c_100]) ).
tff(c_191467,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191460,c_98]) ).
tff(c_191506,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_191478,c_158141,c_191467,c_2]) ).
tff(c_191675,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_191506,c_158135,c_191506,c_188675,c_158135,c_191506,c_191506,c_724]) ).
tff(c_191676,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_191472]) ).
tff(c_191678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191466,c_191676]) ).
tff(c_191679,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_190011]) ).
tff(c_191685,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191679,c_164]) ).
tff(c_191692,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186610,c_158139,c_6]) ).
tff(c_191693,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_191692]) ).
tff(c_191686,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191679,c_102]) ).
tff(c_191703,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_191693,c_191686]) ).
tff(c_191704,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_191692]) ).
tff(c_191709,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191704,c_170]) ).
tff(c_191792,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_191704,c_191679,c_48]) ).
tff(c_191793,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_191792]) ).
tff(c_191797,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191793,c_146]) ).
tff(c_191820,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_64]) ).
tff(c_191821,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_186611,c_191797,c_191820]) ).
tff(c_190016,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_116]) ).
tff(c_190902,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_88]) ).
tff(c_190903,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_190902]) ).
tff(c_190904,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_190903]) ).
tff(c_190907,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190904,c_134]) ).
tff(c_190926,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_186605,c_190907,c_186624,c_26]) ).
tff(c_190909,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190904,c_168]) ).
tff(c_190018,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_186]) ).
tff(c_190952,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_190018,c_158143,c_186626,c_24]) ).
tff(c_190203,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_190018,c_158143,c_186626,c_24]) ).
tff(c_190207,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_190203,c_128]) ).
tff(c_190048,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_190016,c_10]) ).
tff(c_190049,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_190048]) ).
tff(c_190055,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_190049,c_110]) ).
tff(c_190015,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_118]) ).
tff(c_190036,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_190011]) ).
tff(c_190039,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190036,c_158]) ).
tff(c_190171,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_190055,c_190015,c_190039,c_12]) ).
tff(c_190176,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190171,c_114]) ).
tff(c_190024,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186612,c_22]) ).
tff(c_190025,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_190024]) ).
tff(c_190185,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_190025,c_70]) ).
tff(c_190186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_190176,c_158139,c_190185]) ).
tff(c_190187,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_190048]) ).
tff(c_190191,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_190187]) ).
tff(c_190215,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190191,c_38]) ).
tff(c_190216,plain,
( ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_158141,c_190215]) ).
tff(c_190217,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_190216]) ).
tff(c_190031,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190025,c_172]) ).
tff(c_190229,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_190036,c_44]) ).
tff(c_190230,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_190031,c_196,c_190229]) ).
tff(c_190264,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190217,c_190191,c_190230,c_46]) ).
tff(c_190265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_190207,c_200,c_204,c_190264]) ).
tff(c_190267,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_190216]) ).
tff(c_190029,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190025,c_126]) ).
tff(c_190325,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190036,c_58]) ).
tff(c_190326,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_190029,c_190015,c_196,c_190325]) ).
tff(c_190354,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_190326,c_88]) ).
tff(c_190355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_190267,c_190354]) ).
tff(c_190356,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_190187]) ).
tff(c_190363,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190356,c_112]) ).
tff(c_190386,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_190025,c_70]) ).
tff(c_190387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_190363,c_158139,c_190386]) ).
tff(c_190388,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_190011]) ).
tff(c_190394,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190388,c_164]) ).
tff(c_190617,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186605,c_186624,c_26]) ).
tff(c_190618,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_190617]) ).
tff(c_190401,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_190016,c_10]) ).
tff(c_190402,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_190401]) ).
tff(c_190404,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_190402,c_146]) ).
tff(c_190396,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190388,c_98]) ).
tff(c_190426,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186605,c_186624,c_26]) ).
tff(c_190427,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_190426]) ).
tff(c_190405,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_190402,c_150]) ).
tff(c_190028,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190025,c_124]) ).
tff(c_190441,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_190405,c_190028,c_18]) ).
tff(c_190442,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_190441]) ).
tff(c_190471,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190427,c_190442,c_190402,c_34]) ).
tff(c_190472,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_190471]) ).
tff(c_190505,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_190388,c_190472,c_48]) ).
tff(c_190506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_186610,c_204,c_200,c_190505]) ).
tff(c_190507,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_190441]) ).
tff(c_190511,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190507,c_148]) ).
tff(c_190581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190404,c_190396,c_158141,c_190511,c_2]) ).
tff(c_190582,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_190426]) ).
tff(c_190598,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_190582,c_92]) ).
tff(c_190599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_190394,c_198,c_190598]) ).
tff(c_190600,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_190401]) ).
tff(c_190605,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_190600]) ).
tff(c_190667,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190618,c_190605,c_38]) ).
tff(c_190668,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_158141,c_190667]) ).
tff(c_190776,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_190618,c_186621,c_190668,c_190618,c_186621,c_186621,c_758]) ).
tff(c_190777,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_190617]) ).
tff(c_190801,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_190777,c_92]) ).
tff(c_190802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_190394,c_198,c_190801]) ).
tff(c_190803,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_190600]) ).
tff(c_190810,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190803,c_112]) ).
tff(c_190853,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_186610,c_190031,c_158139,c_6]) ).
tff(c_190886,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_190025,c_190853,c_70]) ).
tff(c_190887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_190810,c_194,c_190886]) ).
tff(c_190888,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_190024]) ).
tff(c_190890,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_190888]) ).
tff(c_191035,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190952,c_190890,c_72]) ).
tff(c_191036,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_190909,c_191035]) ).
tff(c_191097,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_190926,c_186621,c_191036,c_190926,c_186621,c_186621,c_758]) ).
tff(c_191098,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_190903]) ).
tff(c_191107,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_191098,c_156]) ).
tff(c_190894,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190890,c_124]) ).
tff(c_191140,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_191107,c_190894,c_18]) ).
tff(c_191141,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_191140]) ).
tff(c_191145,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191141,c_128]) ).
tff(c_191177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191145,c_190018,c_158143,c_186626,c_24]) ).
tff(c_191178,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_191140]) ).
tff(c_191183,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191178,c_148]) ).
tff(c_191112,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_190011]) ).
tff(c_191119,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191112,c_98]) ).
tff(c_191215,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_191183,c_158141,c_191119,c_2]) ).
tff(c_191346,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_191215,c_158135,c_191215,c_188675,c_191215,c_158135,c_191215,c_724]) ).
tff(c_191347,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_190011]) ).
tff(c_191353,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191347,c_164]) ).
tff(c_191444,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_191098,c_92]) ).
tff(c_191445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_191353,c_198,c_191444]) ).
tff(c_191446,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_190888]) ).
tff(c_191451,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_191446,c_124]) ).
tff(c_191716,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_191451,c_18]) ).
tff(c_191717,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_191716]) ).
tff(c_191719,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191717,c_148]) ).
tff(c_191687,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191679,c_98]) ).
tff(c_191710,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191704,c_100]) ).
tff(c_191774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191719,c_191687,c_158141,c_191710,c_2]) ).
tff(c_191775,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_191716]) ).
tff(c_191780,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_191775]) ).
tff(c_191785,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191780,c_150]) ).
tff(c_191843,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_191797,c_190016,c_191785,c_10]) ).
tff(c_191857,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188675,c_191821,c_191843,c_52]) ).
tff(c_191858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_191709,c_200,c_194,c_191857]) ).
tff(c_191859,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_191775]) ).
tff(c_191867,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191859,c_156]) ).
tff(c_191873,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_88]) ).
tff(c_191874,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_191873]) ).
tff(c_191875,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_191874]) ).
tff(c_191888,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_191875,c_92]) ).
tff(c_191889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_191867,c_191888]) ).
tff(c_191890,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_191874]) ).
tff(c_191902,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186621,c_186606,c_191890,c_92]) ).
tff(c_191903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_191685,c_198,c_191902]) ).
tff(c_191905,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_186620]) ).
tff(c_196516,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158143,c_24]) ).
tff(c_196517,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_196516]) ).
tff(c_196520,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196517,c_128]) ).
tff(c_196332,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_90]) ).
tff(c_196333,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196332]) ).
tff(c_196334,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_196333]) ).
tff(c_196339,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196334,c_192]) ).
tff(c_195846,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158143,c_24]) ).
tff(c_195847,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_195846]) ).
tff(c_195852,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_195847,c_186]) ).
tff(c_195883,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195847,c_158135,c_90]) ).
tff(c_195884,plain,
( ( op(e2,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_195883]) ).
tff(c_195885,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_195884]) ).
tff(c_195890,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195885,c_190]) ).
tff(c_191904,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_186620]) ).
tff(c_191906,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_191904]) ).
tff(c_191912,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191906,c_156]) ).
tff(c_191917,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_191912,c_18]) ).
tff(c_191918,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_191917]) ).
tff(c_191920,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191918,c_148]) ).
tff(c_191910,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191906,c_152]) ).
tff(c_192464,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_191920,c_158141,c_191910,c_2]) ).
tff(c_191921,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191918,c_128]) ).
tff(c_191929,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_191906,c_92]) ).
tff(c_191930,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_191929]) ).
tff(c_191931,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_191930]) ).
tff(c_191936,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191931,c_192]) ).
tff(c_191924,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191918,c_122]) ).
tff(c_191937,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191931,c_190]) ).
tff(c_192376,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_191937,c_158142,c_16]) ).
tff(c_192377,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_192376]) ).
tff(c_192380,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_192377,c_118]) ).
tff(c_192365,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191931,c_186606,c_191906,c_88]) ).
tff(c_192366,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_192365]) ).
tff(c_192370,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192366,c_166]) ).
tff(c_191944,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_191937,c_158142,c_16]) ).
tff(c_191945,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_191944]) ).
tff(c_191942,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_4]) ).
tff(c_191943,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_191942]) ).
tff(c_191966,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_191920,c_158141,c_191910,c_2]) ).
tff(c_191971,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191966,c_100]) ).
tff(c_192048,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_191921,c_191936,c_158143,c_24]) ).
tff(c_191989,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191931,c_186606,c_191906,c_88]) ).
tff(c_191990,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_191989]) ).
tff(c_191995,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_191990,c_168]) ).
tff(c_191976,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186612,c_22]) ).
tff(c_191977,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_191976]) ).
tff(c_192004,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191977,c_191918,c_68]) ).
tff(c_192005,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_192004]) ).
tff(c_192006,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_192005]) ).
tff(c_192035,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192006,c_191977,c_191918,c_72]) ).
tff(c_192036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_191995,c_202,c_192035]) ).
tff(c_192037,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_192005]) ).
tff(c_192042,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192037,c_130]) ).
tff(c_192057,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_192048,c_192042]) ).
tff(c_192058,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_191976]) ).
tff(c_192060,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_192058]) ).
tff(c_192066,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192060,c_172]) ).
tff(c_192099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186610,c_191971,c_158139,c_192066,c_6]) ).
tff(c_192100,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_192058]) ).
tff(c_192109,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192100,c_174]) ).
tff(c_186608,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_138]) ).
tff(c_191935,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191931,c_142]) ).
tff(c_191947,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191943,c_158]) ).
tff(c_192108,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192100,c_126]) ).
tff(c_192115,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_191921,c_191936,c_158143,c_24]) ).
tff(c_192119,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192115,c_130]) ).
tff(c_192124,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_191924,c_192108,c_192119,c_20]) ).
tff(c_192128,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192124,c_162]) ).
tff(c_192142,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_191947,c_192128,c_12]) ).
tff(c_192143,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_192142]) ).
tff(c_192146,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192143,c_166]) ).
tff(c_191908,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191906,c_134]) ).
tff(c_192170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186608,c_191935,c_192146,c_191908,c_28]) ).
tff(c_192171,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_192142]) ).
tff(c_192177,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192171,c_114]) ).
tff(c_192194,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_186611,c_192109,c_192177,c_14]) ).
tff(c_192232,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_186608,c_191935,c_191908,c_28]) ).
tff(c_192304,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191945,c_191943,c_192100,c_192194,c_158135,c_191918,c_192171,c_192232,c_400]) ).
tff(c_192305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_194,c_192304]) ).
tff(c_192306,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_191944]) ).
tff(c_192323,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192306,c_186]) ).
tff(c_192340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191921,c_191936,c_158143,c_192323,c_24]) ).
tff(c_192341,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_191942]) ).
tff(c_192343,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_192341]) ).
tff(c_192346,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192343,c_158]) ).
tff(c_192401,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_192380,c_192370,c_192346,c_12]) ).
tff(c_192405,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192401,c_162]) ).
tff(c_192371,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192366,c_168]) ).
tff(c_192347,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192343,c_160]) ).
tff(c_192414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191924,c_192405,c_192371,c_192347,c_20]) ).
tff(c_192415,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_192376]) ).
tff(c_192422,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192415,c_186]) ).
tff(c_192449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191921,c_191936,c_158143,c_192422,c_24]) ).
tff(c_192450,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_192341]) ).
tff(c_192458,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192450,c_98]) ).
tff(c_192475,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_192464,c_192458]) ).
tff(c_192476,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_191930]) ).
tff(c_192545,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_192476,c_191906,c_88]) ).
tff(c_192546,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_198,c_194,c_192545]) ).
tff(c_192547,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_191917]) ).
tff(c_192549,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_192547]) ).
tff(c_192554,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192549,c_150]) ).
tff(c_191911,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191906,c_154]) ).
tff(c_192561,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_192554,c_191911,c_10]) ).
tff(c_192562,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_192561]) ).
tff(c_192565,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_192562,c_146]) ).
tff(c_193028,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_192565,c_158141,c_191910,c_2]) ).
tff(c_193032,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193028,c_100]) ).
tff(c_192567,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_192562,c_116]) ).
tff(c_192556,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192549,c_122]) ).
tff(c_192573,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_192556,c_20]) ).
tff(c_192574,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_192573]) ).
tff(c_192576,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_192574,c_130]) ).
tff(c_192585,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_192576,c_158143,c_24]) ).
tff(c_192586,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_192585]) ).
tff(c_192591,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192586,c_192]) ).
tff(c_192646,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_191906,c_92]) ).
tff(c_192647,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_192591,c_204,c_196,c_192646]) ).
tff(c_192656,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_192647,c_191906,c_88]) ).
tff(c_192657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_198,c_194,c_192656]) ).
tff(c_192658,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_192585]) ).
tff(c_192664,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192658,c_186]) ).
tff(c_192670,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_192567,c_158142,c_192664,c_16]) ).
tff(c_192676,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192670,c_190]) ).
tff(c_192708,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_191906,c_92]) ).
tff(c_192709,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_192676,c_204,c_196,c_192708]) ).
tff(c_192727,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_192709,c_191906,c_88]) ).
tff(c_192728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_198,c_194,c_192727]) ).
tff(c_192729,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_192573]) ).
tff(c_192731,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_192729]) ).
tff(c_192945,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192731,c_126]) ).
tff(c_192555,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192549,c_124]) ).
tff(c_192732,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186612,c_192555,c_22]) ).
tff(c_192733,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_192732]) ).
tff(c_192749,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192733,c_172]) ).
tff(c_192852,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_186610,c_192749,c_158139,c_6]) ).
tff(c_192755,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_192565,c_158141,c_191910,c_2]) ).
tff(c_192760,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192755,c_98]) ).
tff(c_192737,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192731,c_160]) ).
tff(c_192822,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_192760,c_158140,c_192737,c_4]) ).
tff(c_192747,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192733,c_132]) ).
tff(c_192736,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192731,c_130]) ).
tff(c_192778,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_192747,c_158143,c_192736,c_24]) ).
tff(c_192936,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192549,c_192852,c_158135,c_192562,c_192822,c_192549,c_192778,c_186606,c_466]) ).
tff(c_192937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_200,c_204,c_192936]) ).
tff(c_192938,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_192732]) ).
tff(c_192951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_192945,c_192938]) ).
tff(c_192952,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_192729]) ).
tff(c_192959,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192952,c_126]) ).
tff(c_192968,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_186612,c_192959,c_192555,c_22]) ).
tff(c_192974,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192968,c_172]) ).
tff(c_193054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186610,c_193032,c_158139,c_192974,c_6]) ).
tff(c_193055,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_192561]) ).
tff(c_193062,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193055,c_110]) ).
tff(c_193068,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_191906,c_88]) ).
tff(c_193069,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_194,c_193068]) ).
tff(c_193073,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_193069,c_166]) ).
tff(c_193520,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193062,c_193073,c_12]) ).
tff(c_193521,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_193520]) ).
tff(c_193526,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193521,c_162]) ).
tff(c_193525,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193521,c_118]) ).
tff(c_193061,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193055,c_116]) ).
tff(c_193583,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_193525,c_193061,c_158142,c_16]) ).
tff(c_193545,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_191905,c_32]) ).
tff(c_193059,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193055,c_146]) ).
tff(c_193378,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_193059,c_158141,c_191910,c_2]) ).
tff(c_193080,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186612,c_192555,c_22]) ).
tff(c_193081,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_193080]) ).
tff(c_193084,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193081,c_132]) ).
tff(c_193310,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193084,c_158143,c_24]) ).
tff(c_193311,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_193310]) ).
tff(c_193315,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193311,c_186]) ).
tff(c_193347,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_193315,c_193061,c_158142,c_16]) ).
tff(c_193085,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193081,c_126]) ).
tff(c_193102,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193085,c_192556,c_20]) ).
tff(c_193103,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_193102]) ).
tff(c_193130,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193103,c_162]) ).
tff(c_193143,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_193130,c_193062,c_193073,c_12]) ).
tff(c_193104,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193084,c_158143,c_24]) ).
tff(c_193105,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_193104]) ).
tff(c_193108,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193103,c_130]) ).
tff(c_193123,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_193105,c_193108]) ).
tff(c_193124,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_193104]) ).
tff(c_193306,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193069,c_158135,c_193055,c_193143,c_191906,c_193124,c_193143,c_193069,c_648]) ).
tff(c_193307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_200,c_194,c_193306]) ).
tff(c_193308,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_193102]) ).
tff(c_193324,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193308,c_162]) ).
tff(c_193332,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_193062,c_193073,c_193324,c_12]) ).
tff(c_193481,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_193378,c_193347,c_193332,c_193055,c_193308,c_193311,c_186606,c_250]) ).
tff(c_193482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_198,c_204,c_193481]) ).
tff(c_193483,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_193310]) ).
tff(c_193487,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193308,c_130]) ).
tff(c_193504,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_193483,c_193487]) ).
tff(c_193505,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_193080]) ).
tff(c_193509,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193505,c_132]) ).
tff(c_193532,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158143,c_193509,c_24]) ).
tff(c_193533,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_193532]) ).
tff(c_193707,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193069,c_158135,c_193583,c_193521,c_193545,c_193533,c_193521,c_193069,c_648]) ).
tff(c_193708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_204,c_202,c_193707]) ).
tff(c_193709,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_193532]) ).
tff(c_193713,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193709,c_130]) ).
tff(c_193510,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193505,c_126]) ).
tff(c_193741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193526,c_193713,c_192556,c_193510,c_20]) ).
tff(c_193742,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_193520]) ).
tff(c_193757,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193742,c_193055,c_64]) ).
tff(c_193758,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_186611,c_200,c_204,c_193757]) ).
tff(c_193763,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193758,c_186]) ).
tff(c_193796,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_193763,c_158143,c_193509,c_24]) ).
tff(c_193785,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193758,c_158135,c_90]) ).
tff(c_193786,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_193785]) ).
tff(c_193787,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_193786]) ).
tff(c_193791,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193787,c_192]) ).
tff(c_193805,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_193796,c_193791]) ).
tff(c_193807,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_193786]) ).
tff(c_193816,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_193069,c_191906,c_92]) ).
tff(c_193817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193807,c_204,c_198,c_196,c_193816]) ).
tff(c_193818,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_192547]) ).
tff(c_193822,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193818,c_148]) ).
tff(c_194134,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_193822,c_158141,c_191910,c_2]) ).
tff(c_194140,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_194134,c_98]) ).
tff(c_193832,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_191906,c_88]) ).
tff(c_193833,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_194,c_193832]) ).
tff(c_193838,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_193833,c_168]) ).
tff(c_193823,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193818,c_128]) ).
tff(c_193844,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193823,c_158143,c_24]) ).
tff(c_193845,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_193844]) ).
tff(c_193849,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193845,c_130]) ).
tff(c_193826,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193818,c_122]) ).
tff(c_193878,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_193849,c_193826,c_193838,c_20]) ).
tff(c_193889,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193845,c_193878,c_193818,c_72]) ).
tff(c_193890,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_193889]) ).
tff(c_193894,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_193890,c_174]) ).
tff(c_193856,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_193822,c_158141,c_191910,c_2]) ).
tff(c_193862,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193856,c_98]) ).
tff(c_193902,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186610,c_158139,c_6]) ).
tff(c_193903,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_193902]) ).
tff(c_193907,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193903,c_102]) ).
tff(c_193882,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193878,c_160]) ).
tff(c_193927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193862,c_193907,c_158140,c_193882,c_4]) ).
tff(c_193928,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_193902]) ).
tff(c_193932,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193928,c_170]) ).
tff(c_193995,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_186611,c_193894,c_193932,c_14]) ).
tff(c_193968,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_193862,c_158140,c_193882,c_4]) ).
tff(c_193867,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193845,c_158135,c_90]) ).
tff(c_193868,plain,
( ( op(e2,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_193867]) ).
tff(c_193869,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_193868]) ).
tff(c_194085,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193995,c_193968,c_193890,c_193995,c_193869,c_193845,c_193845,c_186606,c_426]) ).
tff(c_194086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_204,c_204,c_194085]) ).
tff(c_194088,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_193868]) ).
tff(c_194110,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_193833,c_191906,c_92]) ).
tff(c_194111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194088,c_204,c_198,c_196,c_194110]) ).
tff(c_194112,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_193844]) ).
tff(c_194145,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194112,c_193818,c_72]) ).
tff(c_194146,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_193838,c_198,c_194145]) ).
tff(c_194117,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194112,c_130]) ).
tff(c_194170,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_193826,c_193838,c_194117,c_20]) ).
tff(c_194175,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_194170,c_162]) ).
tff(c_193837,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_193833,c_166]) ).
tff(c_194180,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_194175,c_193837,c_12]) ).
tff(c_194181,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_194180]) ).
tff(c_194186,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_194181,c_114]) ).
tff(c_194151,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194146,c_174]) ).
tff(c_194211,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_186611,c_194186,c_194151,c_14]) ).
tff(c_194232,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_194146,c_194211,c_74]) ).
tff(c_194233,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_194232]) ).
tff(c_194125,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_191905,c_32]) ).
tff(c_194138,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_194134,c_146]) ).
tff(c_193824,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193818,c_150]) ).
tff(c_194157,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194138,c_193824,c_191911,c_10]) ).
tff(c_194195,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194181,c_194157,c_64]) ).
tff(c_194196,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_186611,c_204,c_202,c_194195]) ).
tff(c_194345,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194146,c_194233,c_194125,c_194196,c_191906,c_194112,c_194181,c_193833,c_584]) ).
tff(c_194346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_200,c_198,c_194345]) ).
tff(c_194347,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_194180]) ).
tff(c_194351,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194347,c_158]) ).
tff(c_194418,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_194140,c_158140,c_194351,c_4]) ).
tff(c_194529,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_194134,c_194418,c_194157,c_191906,c_194112,c_194347,c_193833,c_232]) ).
tff(c_194530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_194,c_194529]) ).
tff(c_194531,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_191904]) ).
tff(c_194543,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_194548,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_194543,c_116]) ).
tff(c_194554,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_194548,c_158142,c_16]) ).
tff(c_194555,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_194554]) ).
tff(c_194561,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_194555,c_190]) ).
tff(c_194580,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_194531,c_88]) ).
tff(c_194581,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_194,c_194580]) ).
tff(c_194591,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_194531,c_194581,c_92]) ).
tff(c_194592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194561,c_204,c_196,c_198,c_194591]) ).
tff(c_194593,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_194554]) ).
tff(c_194606,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194593,c_158135,c_90]) ).
tff(c_194607,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_194606]) ).
tff(c_194608,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_194607]) ).
tff(c_194613,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_194608,c_192]) ).
tff(c_194600,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194593,c_186]) ).
tff(c_195149,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_194613,c_158143,c_194600,c_24]) ).
tff(c_195242,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194531,c_158135,c_158135,c_194543,c_194608,c_195149,c_194543,c_194531,c_616]) ).
tff(c_195243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_204,c_202,c_195242]) ).
tff(c_195245,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_194607]) ).
tff(c_195311,plain,
( ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_194531,c_92]) ).
tff(c_195312,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_195245,c_204,c_196,c_195311]) ).
tff(c_195351,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_194531,c_195312,c_88]) ).
tff(c_195352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_194,c_198,c_195351]) ).
tff(c_195353,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_195355,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_195353]) ).
tff(c_195361,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195355,c_116]) ).
tff(c_195964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195852,c_195890,c_158142,c_195361,c_16]) ).
tff(c_195965,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_195884]) ).
tff(c_195976,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195847,c_195965,c_158135,c_82]) ).
tff(c_195977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191905,c_200,c_196,c_194,c_195976]) ).
tff(c_195978,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_195846]) ).
tff(c_195982,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_195978]) ).
tff(c_195985,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195982,c_132]) ).
tff(c_196006,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186612,c_195985,c_22]) ).
tff(c_196007,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_196006]) ).
tff(c_196010,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196007,c_124]) ).
tff(c_196032,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_194531,c_88]) ).
tff(c_196033,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_194,c_196032]) ).
tff(c_196037,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196033,c_156]) ).
tff(c_194538,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194531,c_164]) ).
tff(c_195367,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158140,c_194538,c_4]) ).
tff(c_195368,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_195367]) ).
tff(c_195374,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_195368,c_98]) ).
tff(c_195379,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_194531,c_88]) ).
tff(c_195380,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_194,c_195379]) ).
tff(c_195683,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195380,c_195355,c_42]) ).
tff(c_195684,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_195683]) ).
tff(c_195685,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_195684]) ).
tff(c_195688,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195685,c_148]) ).
tff(c_195357,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195355,c_146]) ).
tff(c_195694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195374,c_195688,c_158141,c_195357,c_2]) ).
tff(c_195695,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_195684]) ).
tff(c_195696,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_195684]) ).
tff(c_195385,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195380,c_156]) ).
tff(c_195358,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195355,c_150]) ).
tff(c_195707,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_195696,c_195385,c_195358,c_18]) ).
tff(c_195829,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194531,c_158135,c_195695,c_195355,c_158135,c_195707,c_195368,c_195380,c_590]) ).
tff(c_195830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_200,c_195829]) ).
tff(c_195831,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_195367]) ).
tff(c_195836,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195831,c_160]) ).
tff(c_194537,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194531,c_168]) ).
tff(c_196018,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_195836,c_194537,c_20]) ).
tff(c_196019,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_196018]) ).
tff(c_196082,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195982,c_196007,c_196019,c_72]) ).
tff(c_196083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_196037,c_196082]) ).
tff(c_196084,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_196018]) ).
tff(c_196100,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196084,c_122]) ).
tff(c_195994,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_195831,c_48]) ).
tff(c_195995,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_186610,c_204,c_195994]) ).
tff(c_196106,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195355,c_195995,c_38]) ).
tff(c_196107,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_196100,c_194,c_202,c_196106]) ).
tff(c_196160,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196107,c_195355,c_195995,c_42]) ).
tff(c_196161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196010,c_196,c_204,c_196160]) ).
tff(c_196162,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_196006]) ).
tff(c_196177,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196162,c_126]) ).
tff(c_196185,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_195836,c_196177,c_194537,c_20]) ).
tff(c_196329,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196162,c_196185,c_196162,c_194531,c_196185,c_196162,c_196162,c_742]) ).
tff(c_196330,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_195978]) ).
tff(c_196345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196339,c_196330]) ).
tff(c_196347,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_196333]) ).
tff(c_196500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175392,c_196347,c_158144,c_191905,c_32]) ).
tff(c_196501,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_195353]) ).
tff(c_196503,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_196501]) ).
tff(c_196508,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196503,c_154]) ).
tff(c_196530,plain,
( ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_194531,c_92]) ).
tff(c_196531,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_196508,c_196530]) ).
tff(c_196982,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196531,c_186606,c_194531,c_88]) ).
tff(c_196983,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_196982]) ).
tff(c_196506,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196503,c_146]) ).
tff(c_196541,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_196506,c_158141,c_2]) ).
tff(c_196542,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_196541]) ).
tff(c_196548,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196542,c_98]) ).
tff(c_196521,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196517,c_130]) ).
tff(c_196553,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196521,c_194537,c_20]) ).
tff(c_196554,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_196553]) ).
tff(c_196558,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196554,c_160]) ).
tff(c_196623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196548,c_196558,c_158140,c_194538,c_4]) ).
tff(c_196624,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_196553]) ).
tff(c_196631,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196624,c_162]) ).
tff(c_196522,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196517,c_186]) ).
tff(c_196510,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196503,c_116]) ).
tff(c_196736,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196522,c_196510,c_158142,c_16]) ).
tff(c_196509,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196503,c_112]) ).
tff(c_196637,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_186611,c_196509,c_14]) ).
tff(c_196638,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_196637]) ).
tff(c_196721,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196638,c_196503,c_64]) ).
tff(c_196722,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_196522,c_202,c_204,c_196721]) ).
tff(c_196871,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194531,c_158135,c_196736,c_196722,c_196531,c_196517,c_196503,c_194531,c_648]) ).
tff(c_196872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_204,c_198,c_196871]) ).
tff(c_196873,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_196637]) ).
tff(c_196886,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196873,c_196503,c_56]) ).
tff(c_196887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158142,c_194,c_196631,c_198,c_196886]) ).
tff(c_196888,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_196541]) ).
tff(c_197030,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196983,c_196503,c_196888,c_46]) ).
tff(c_197031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196520,c_204,c_200,c_197030]) ).
tff(c_197032,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_196516]) ).
tff(c_197034,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_197032]) ).
tff(c_197040,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197034,c_186]) ).
tff(c_197288,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186610,c_158139,c_6]) ).
tff(c_197289,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_197288]) ).
tff(c_197292,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197289,c_172]) ).
tff(c_197046,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_194537,c_20]) ).
tff(c_197047,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_197046]) ).
tff(c_197051,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_197047,c_162]) ).
tff(c_196511,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196503,c_110]) ).
tff(c_194536,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194531,c_166]) ).
tff(c_197179,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_197051,c_196511,c_194536,c_12]) ).
tff(c_197184,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197179,c_114]) ).
tff(c_197050,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_197047,c_160]) ).
tff(c_197082,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186610,c_158139,c_6]) ).
tff(c_197083,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_197082]) ).
tff(c_197088,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197083,c_102]) ).
tff(c_197152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197050,c_197088,c_158140,c_194538,c_4]) ).
tff(c_197153,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_197082]) ).
tff(c_197191,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_197153,c_74]) ).
tff(c_197192,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196509,c_196,c_197191]) ).
tff(c_197211,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_197192,c_197153,c_70]) ).
tff(c_197212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_197184,c_194,c_197211]) ).
tff(c_197213,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_197046]) ).
tff(c_197215,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_197213]) ).
tff(c_197221,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197215,c_126]) ).
tff(c_197037,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197034,c_132]) ).
tff(c_197312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186612,c_197292,c_197221,c_197037,c_22]) ).
tff(c_197313,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_197288]) ).
tff(c_197318,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197313,c_170]) ).
tff(c_197370,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_186611,c_196509,c_197318,c_14]) ).
tff(c_197220,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197215,c_162]) ).
tff(c_197380,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_196511,c_197220,c_194536,c_12]) ).
tff(c_197415,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197370,c_197380,c_196503,c_52]) ).
tff(c_197416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197040,c_194,c_200,c_196,c_197415]) ).
tff(c_197417,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_197213]) ).
tff(c_197424,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197417,c_126]) ).
tff(c_197460,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_186612,c_197424,c_197037,c_22]) ).
tff(c_197465,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197460,c_174]) ).
tff(c_197517,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_186611,c_196509,c_197465,c_14]) ).
tff(c_197527,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_197460,c_197517,c_74]) ).
tff(c_197528,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_197527]) ).
tff(c_197626,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197460,c_197528,c_197528,c_196503,c_197517,c_197417,c_197034,c_186606,c_474]) ).
tff(c_197627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_194,c_196,c_197626]) ).
tff(c_197628,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_197032]) ).
tff(c_197654,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_196511,c_194536,c_12]) ).
tff(c_197655,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_197654]) ).
tff(c_197660,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_197655,c_162]) ).
tff(c_197634,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197628,c_130]) ).
tff(c_197632,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197628,c_132]) ).
tff(c_197668,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_186611,c_196509,c_14]) ).
tff(c_197669,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_197668]) ).
tff(c_197672,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197669,c_174]) ).
tff(c_197702,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_196506,c_158141,c_2]) ).
tff(c_197703,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_197702]) ).
tff(c_197713,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_197703,c_44]) ).
tff(c_197714,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_197713]) ).
tff(c_197715,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_197714]) ).
tff(c_197719,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197715,c_102]) ).
tff(c_197724,plain,
( ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194531,c_197655,c_58]) ).
tff(c_197725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_197634,c_204,c_197719,c_197724]) ).
tff(c_197727,plain,
op(e3,e1) != e1,
inference(splitRight,[status(thm)],[c_197714]) ).
tff(c_197687,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197628,c_68]) ).
tff(c_197688,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194537,c_197687]) ).
tff(c_197689,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_197688]) ).
tff(c_197695,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197689,c_172]) ).
tff(c_197746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186610,c_197727,c_158139,c_197695,c_6]) ).
tff(c_197748,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_197688]) ).
tff(c_197786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186612,c_197632,c_197672,c_197748,c_22]) ).
tff(c_197787,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_197668]) ).
tff(c_197791,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197787,c_174]) ).
tff(c_197814,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_186612,c_197632,c_197791,c_22]) ).
tff(c_197819,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197814,c_126]) ).
tff(c_197854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197660,c_197634,c_197819,c_194537,c_20]) ).
tff(c_197855,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_197654]) ).
tff(c_197862,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197855,c_114]) ).
tff(c_197870,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_186611,c_196509,c_197862,c_14]) ).
tff(c_197876,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197870,c_120]) ).
tff(c_197932,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_196510,c_158142,c_197876,c_16]) ).
tff(c_197941,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197628,c_197932,c_158135,c_82]) ).
tff(c_197942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191905,c_196,c_200,c_194,c_197941]) ).
tff(c_197943,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_196501]) ).
tff(c_197949,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197943,c_154]) ).
tff(c_198018,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186606,c_194531,c_88]) ).
tff(c_198019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_194,c_197949,c_198018]) ).
tff(c_198020,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_186604]) ).
tff(c_202774,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_164]) ).
tff(c_198022,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158139,c_6]) ).
tff(c_198023,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_198022]) ).
tff(c_198039,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198023,c_100]) ).
tff(c_198029,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_164]) ).
tff(c_198044,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198029,c_158140,c_4]) ).
tff(c_198045,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_198044]) ).
tff(c_198050,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198045,c_98]) ).
tff(c_198035,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198023,c_172]) ).
tff(c_198021,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_186604]) ).
tff(c_199257,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198021,c_30]) ).
tff(c_199258,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_199257]) ).
tff(c_199263,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199258,c_180]) ).
tff(c_198027,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_166]) ).
tff(c_198048,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198045,c_158]) ).
tff(c_198028,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_168]) ).
tff(c_198049,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198045,c_160]) ).
tff(c_198055,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198028,c_198049,c_20]) ).
tff(c_198056,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_198055]) ).
tff(c_198061,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198056,c_162]) ).
tff(c_199064,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_198027,c_198048,c_198061,c_12]) ).
tff(c_198770,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_92]) ).
tff(c_198771,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198770]) ).
tff(c_198772,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_198771]) ).
tff(c_198779,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198772,c_190]) ).
tff(c_199005,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_198779,c_158142,c_16]) ).
tff(c_199006,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_199005]) ).
tff(c_199010,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199006,c_116]) ).
tff(c_198067,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_84]) ).
tff(c_198068,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_198067]) ).
tff(c_198069,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_198068]) ).
tff(c_198060,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198056,c_122]) ).
tff(c_198062,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198056,c_126]) ).
tff(c_198084,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198035,c_198062,c_22]) ).
tff(c_198085,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_198084]) ).
tff(c_198091,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198085,c_132]) ).
tff(c_198074,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198069,c_192]) ).
tff(c_198123,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_198091,c_158143,c_198074,c_24]) ).
tff(c_198127,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198123,c_128]) ).
tff(c_198092,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198085,c_124]) ).
tff(c_198108,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_198039,c_198050,c_158141,c_2]) ).
tff(c_198112,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198108,c_148]) ).
tff(c_198186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198127,c_198092,c_198060,c_198112,c_18]) ).
tff(c_198187,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_198084]) ).
tff(c_198192,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198187,c_124]) ).
tff(c_198414,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_198060,c_198192,c_18]) ).
tff(c_198415,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_198414]) ).
tff(c_198418,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198415,c_128]) ).
tff(c_198036,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198023,c_170]) ).
tff(c_198200,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_198027,c_198048,c_198061,c_12]) ).
tff(c_198206,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198200,c_110]) ).
tff(c_198222,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_198206,c_10]) ).
tff(c_198223,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_198222]) ).
tff(c_198225,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198223,c_150]) ).
tff(c_198268,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198225,c_198060,c_198192,c_18]) ).
tff(c_198303,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198187,c_198056,c_198268,c_80]) ).
tff(c_198304,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_198303]) ).
tff(c_198247,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198069,c_198020,c_92]) ).
tff(c_198248,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198247]) ).
tff(c_198249,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_198248]) ).
tff(c_198228,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198223,c_116]) ).
tff(c_198075,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198069,c_190]) ).
tff(c_198237,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198228,c_158142,c_198075,c_16]) ).
tff(c_198211,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_198039,c_198050,c_158141,c_2]) ).
tff(c_198258,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198223,c_198211,c_38]) ).
tff(c_198259,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198060,c_202,c_194,c_198258]) ).
tff(c_198396,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198304,c_198023,c_198249,c_198237,c_198023,c_198268,c_198259,c_198069,c_564]) ).
tff(c_198397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_200,c_202,c_198396]) ).
tff(c_198398,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_198248]) ).
tff(c_198410,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198398,c_198223,c_198211,c_38]) ).
tff(c_198411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198060,c_202,c_194,c_198410]) ).
tff(c_198412,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_198222]) ).
tff(c_198425,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_198412]) ).
tff(c_198429,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198425,c_112]) ).
tff(c_198193,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198187,c_174]) ).
tff(c_198488,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198036,c_198429,c_198193,c_14]) ).
tff(c_198458,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_198075,c_16]) ).
tff(c_198459,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_198458]) ).
tff(c_198428,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198425,c_154]) ).
tff(c_198072,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198069,c_140]) ).
tff(c_198439,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_186605,c_198428,c_198072,c_26]) ).
tff(c_198448,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198069,c_198020,c_198439,c_88]) ).
tff(c_198449,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_198448]) ).
tff(c_198480,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198418,c_158143,c_198074,c_24]) ).
tff(c_198584,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198488,c_198045,c_198069,c_198459,c_198449,c_198480,c_198459,c_198020,c_456]) ).
tff(c_198585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_202,c_202,c_198584]) ).
tff(c_198586,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_198458]) ).
tff(c_198591,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198586,c_186]) ).
tff(c_198603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198418,c_198591,c_158143,c_198074,c_24]) ).
tff(c_198604,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_198412]) ).
tff(c_198648,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198415,c_198604,c_198211,c_38]) ).
tff(c_198649,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_198648]) ).
tff(c_198736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_198069,c_198649,c_198069,c_198604,c_198649,c_198069,c_198069,c_762]) ).
tff(c_198737,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_198414]) ).
tff(c_198742,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198737,c_150]) ).
tff(c_198751,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198742,c_198412]) ).
tff(c_198766,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198737,c_198751,c_198211,c_46]) ).
tff(c_198767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186605,c_204,c_202,c_200,c_198766]) ).
tff(c_198768,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_198068]) ).
tff(c_198784,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_198768]) ).
tff(c_198788,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198784,c_152]) ).
tff(c_198978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198039,c_198050,c_158141,c_198788,c_2]) ).
tff(c_198979,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_198768]) ).
tff(c_198985,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198979,c_180]) ).
tff(c_198992,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198035,c_198062,c_198985,c_22]) ).
tff(c_199028,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198979,c_198992,c_198023,c_70]) ).
tff(c_199029,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_199028]) ).
tff(c_199033,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199029,c_112]) ).
tff(c_199017,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_198039,c_198050,c_158141,c_2]) ).
tff(c_199022,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199017,c_146]) ).
tff(c_199079,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_199010,c_199033,c_199022,c_10]) ).
tff(c_198776,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198772,c_140]) ).
tff(c_198980,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_198768]) ).
tff(c_199039,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_186605,c_198776,c_198980,c_26]) ).
tff(c_199051,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199039,c_199017,c_46]) ).
tff(c_199052,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_199010,c_200,c_199051]) ).
tff(c_199168,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199064,c_199079,c_199064,c_199052,c_199079,c_199064,c_199064,c_760]) ).
tff(c_199169,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_199005]) ).
tff(c_199173,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199169,c_118]) ).
tff(c_199205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198027,c_198048,c_198061,c_199173,c_12]) ).
tff(c_199207,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_198771]) ).
tff(c_198769,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_198068]) ).
tff(c_199243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175392,c_199207,c_158144,c_198769,c_32]) ).
tff(c_199244,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_198055]) ).
tff(c_199249,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199244,c_122]) ).
tff(c_199281,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_199249,c_18]) ).
tff(c_199282,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_199281]) ).
tff(c_199284,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199282,c_128]) ).
tff(c_199261,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199258,c_144]) ).
tff(c_199327,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_175392,c_199261,c_158144,c_32]) ).
tff(c_199348,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199327,c_199258,c_198020,c_88]) ).
tff(c_199349,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_199348]) ).
tff(c_199262,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199258,c_178]) ).
tff(c_199303,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_16]) ).
tff(c_199304,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_199303]) ).
tff(c_199366,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199304,c_60]) ).
tff(c_199367,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_199262,c_198048,c_199366]) ).
tff(c_199450,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_199327,c_199349,c_199327,c_199367,c_199349,c_199327,c_199327,c_762]) ).
tff(c_199451,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_199303]) ).
tff(c_199453,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_199451]) ).
tff(c_199460,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199453,c_190]) ).
tff(c_199465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175392,c_199261,c_158144,c_199460,c_32]) ).
tff(c_199466,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_199451]) ).
tff(c_199476,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199466,c_186]) ).
tff(c_199248,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199244,c_130]) ).
tff(c_199521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199284,c_199476,c_158143,c_199248,c_24]) ).
tff(c_199522,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_199281]) ).
tff(c_199524,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_199522]) ).
tff(c_199529,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199524,c_124]) ).
tff(c_199251,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199244,c_126]) ).
tff(c_199535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198035,c_199263,c_199529,c_199251,c_22]) ).
tff(c_199536,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_199522]) ).
tff(c_199540,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199536,c_128]) ).
tff(c_199667,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_199540,c_158143,c_199248,c_24]) ).
tff(c_199553,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_16]) ).
tff(c_199554,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_199553]) ).
tff(c_199559,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199554,c_186]) ).
tff(c_199578,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199244,c_199536,c_80]) ).
tff(c_199579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199559,c_198035,c_200,c_204,c_199578]) ).
tff(c_199580,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_199553]) ).
tff(c_199582,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_199580]) ).
tff(c_199589,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199582,c_190]) ).
tff(c_199616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175392,c_199261,c_158144,c_199589,c_32]) ).
tff(c_199617,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_199580]) ).
tff(c_199268,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_198039,c_198050,c_158141,c_2]) ).
tff(c_199274,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199268,c_152]) ).
tff(c_199635,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199258,c_198020,c_84]) ).
tff(c_199636,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_199274,c_199635]) ).
tff(c_199657,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199244,c_199536,c_72]) ).
tff(c_199658,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_158143,c_194,c_198,c_199657]) ).
tff(c_199792,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199667,c_198023,c_199258,c_199617,c_199636,c_199667,c_199658,c_199258,c_586]) ).
tff(c_199793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_200,c_198,c_199792]) ).
tff(c_199794,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_199257]) ).
tff(c_199796,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_199794]) ).
tff(c_199818,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198035,c_199251,c_22]) ).
tff(c_199819,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_199818]) ).
tff(c_199833,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199819,c_199244,c_72]) ).
tff(c_199834,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158143,c_198,c_194,c_199833]) ).
tff(c_199840,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199834,c_156]) ).
tff(c_199800,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199796,c_144]) ).
tff(c_199807,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_199800,c_32]) ).
tff(c_199884,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199807,c_199796,c_198020,c_88]) ).
tff(c_199885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_199840,c_199884]) ).
tff(c_199886,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_199818]) ).
tff(c_200030,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199796,c_199886,c_198023,c_74]) ).
tff(c_200031,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_200030]) ).
tff(c_200017,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199807,c_199796,c_198020,c_88]) ).
tff(c_200018,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_200017]) ).
tff(c_199813,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199807,c_190]) ).
tff(c_199952,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_199813,c_158142,c_16]) ).
tff(c_199953,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_199952]) ).
tff(c_199957,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199953,c_116]) ).
tff(c_199891,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199886,c_124]) ).
tff(c_199898,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_199891,c_199249,c_18]) ).
tff(c_199899,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_199898]) ).
tff(c_199903,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199899,c_128]) ).
tff(c_199812,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199807,c_192]) ).
tff(c_199939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199903,c_199812,c_158143,c_199248,c_24]) ).
tff(c_199940,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_199898]) ).
tff(c_199946,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199940,c_150]) ).
tff(c_199811,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199807,c_140]) ).
tff(c_199799,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199796,c_136]) ).
tff(c_199971,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_186605,c_199811,c_199799,c_26]) ).
tff(c_199976,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199971,c_154]) ).
tff(c_199981,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_198039,c_198050,c_158141,c_2]) ).
tff(c_199985,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199981,c_146]) ).
tff(c_199992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199957,c_199946,c_199976,c_199985,c_10]) ).
tff(c_199993,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_199952]) ).
tff(c_200158,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200031,c_198045,c_200018,c_199993,c_198023,c_199940,c_199796,c_199807,c_436]) ).
tff(c_200159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_200,c_200,c_200158]) ).
tff(c_200160,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_199794]) ).
tff(c_200174,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200160,c_198020,c_92]) ).
tff(c_200175,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_200174]) ).
tff(c_200176,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_200175]) ).
tff(c_200196,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200176,c_200160,c_198020,c_84]) ).
tff(c_200197,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_200196]) ).
tff(c_200201,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200197,c_152]) ).
tff(c_200224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198039,c_198050,c_158141,c_200201,c_2]) ).
tff(c_200226,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_200175]) ).
tff(c_200257,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_175392,c_200226,c_158144,c_32]) ).
tff(c_200225,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_200175]) ).
tff(c_200167,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200160,c_180]) ).
tff(c_200237,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198035,c_200167,c_199251,c_22]) ).
tff(c_200287,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200237,c_199244,c_72]) ).
tff(c_200288,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158143,c_198,c_194,c_200287]) ).
tff(c_200395,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_200257,c_200225,c_200257,c_200288,c_200257,c_200225,c_200257,c_758]) ).
tff(c_200396,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_198044]) ).
tff(c_200402,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200396,c_98]) ).
tff(c_201704,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198039,c_158141,c_200402,c_2]) ).
tff(c_201709,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201704,c_152]) ).
tff(c_200401,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200396,c_160]) ).
tff(c_200408,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198028,c_200401,c_20]) ).
tff(c_200409,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_200408]) ).
tff(c_200412,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_200409,c_130]) ).
tff(c_201510,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_90]) ).
tff(c_201511,plain,
( ( op(e2,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_200412,c_198,c_201510]) ).
tff(c_201512,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_201511]) ).
tff(c_201518,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201512,c_190]) ).
tff(c_200914,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198039,c_158141,c_200402,c_2]) ).
tff(c_200864,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_90]) ).
tff(c_200865,plain,
( ( op(e2,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_200412,c_198,c_200864]) ).
tff(c_200866,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_200865]) ).
tff(c_200415,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_200409,c_126]) ).
tff(c_200420,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198035,c_200415,c_22]) ).
tff(c_200421,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_200420]) ).
tff(c_200427,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200421,c_180]) ).
tff(c_200432,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_92]) ).
tff(c_200433,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200432]) ).
tff(c_200434,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_200433]) ).
tff(c_200456,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200434,c_198020,c_88]) ).
tff(c_200457,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_200427,c_202,c_200456]) ).
tff(c_200445,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198039,c_158141,c_200402,c_2]) ).
tff(c_200413,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_200409,c_122]) ).
tff(c_200425,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200421,c_124]) ).
tff(c_200469,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200413,c_200425,c_18]) ).
tff(c_200470,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_200469]) ).
tff(c_200496,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200457,c_200470,c_200445,c_34]) ).
tff(c_200497,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_200496]) ).
tff(c_200483,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200434,c_158135,c_82]) ).
tff(c_200484,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200483]) ).
tff(c_200485,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_200484]) ).
tff(c_200544,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200434,c_200485,c_158135,c_94]) ).
tff(c_200545,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_200544]) ).
tff(c_200639,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198023,c_200445,c_200445,c_200497,c_200457,c_200485,c_200545,c_198020,c_232]) ).
tff(c_200640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_202,c_202,c_200639]) ).
tff(c_200641,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_200484]) ).
tff(c_200646,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200641,c_116]) ).
tff(c_200690,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200457,c_200470,c_200445,c_34]) ).
tff(c_200691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_200646,c_196,c_200690]) ).
tff(c_200692,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_200469]) ).
tff(c_200766,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200457,c_200692,c_200445,c_46]) ).
tff(c_200767,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_200766]) ).
tff(c_200426,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200421,c_174]) ).
tff(c_200694,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200434,c_198020,c_200457,c_84]) ).
tff(c_200695,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_200694]) ).
tff(c_200699,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200695,c_178]) ).
tff(c_200780,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198036,c_200426,c_200699,c_14]) ).
tff(c_200860,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200767,c_200396,c_200421,c_200780,c_200445,c_200692,c_200692,c_200695,c_402]) ).
tff(c_200861,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_196,c_196,c_200860]) ).
tff(c_200863,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_200433]) ).
tff(c_200878,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_200866,c_200863]) ).
tff(c_200879,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_200865]) ).
tff(c_200414,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_200409,c_162]) ).
tff(c_200400,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200396,c_158]) ).
tff(c_200946,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198027,c_200414,c_200400,c_12]) ).
tff(c_200976,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200879,c_200946,c_64]) ).
tff(c_200977,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_198036,c_202,c_200976]) ).
tff(c_200935,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_175392,c_200863,c_158144,c_32]) ).
tff(c_200904,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200412,c_158143,c_24]) ).
tff(c_200905,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_200904]) ).
tff(c_200891,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198021,c_200427,c_30]) ).
tff(c_200892,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_200891]) ).
tff(c_234,plain,
( ( op(e1,op(e0,e1)) = e1 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3 )
| ( op(e3,op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_201077,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198023,c_200914,c_158135,c_200977,c_200935,c_200905,c_200421,c_200892,c_234]) ).
tff(c_201078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_200,c_198,c_201077]) ).
tff(c_201079,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_200904]) ).
tff(c_201084,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201079,c_192]) ).
tff(c_201090,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200892,c_198020,c_88]) ).
tff(c_201091,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_198,c_202,c_201090]) ).
tff(c_201127,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200892,c_198020,c_201091,c_84]) ).
tff(c_201128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201084,c_196,c_200,c_194,c_201127]) ).
tff(c_201129,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_200891]) ).
tff(c_200862,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_200433]) ).
tff(c_201151,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201129,c_200862]) ).
tff(c_201152,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_201151]) ).
tff(c_201163,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201129,c_198020,c_201152,c_88]) ).
tff(c_201164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158144,c_194,c_202,c_198,c_201163]) ).
tff(c_201165,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_200420]) ).
tff(c_201199,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201165,c_174]) ).
tff(c_201198,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201165,c_124]) ).
tff(c_201167,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200413,c_18]) ).
tff(c_201168,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_201167]) ).
tff(c_201171,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_201168,c_128]) ).
tff(c_201181,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201165,c_132]) ).
tff(c_201192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201171,c_200412,c_158143,c_201181,c_24]) ).
tff(c_201193,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_201167]) ).
tff(c_201206,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_201198,c_201193]) ).
tff(c_201213,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201206,c_156]) ).
tff(c_201232,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186605,c_201213,c_26]) ).
tff(c_201233,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_201232]) ).
tff(c_201237,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201233,c_140]) ).
tff(c_201243,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_90]) ).
tff(c_201244,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_201237,c_200412,c_198,c_201243]) ).
tff(c_201212,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201206,c_150]) ).
tff(c_201220,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_201212,c_10]) ).
tff(c_201221,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_201220]) ).
tff(c_201290,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201244,c_201221,c_52]) ).
tff(c_201291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_201199,c_200400,c_200,c_201290]) ).
tff(c_201292,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_201232]) ).
tff(c_201361,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201292,c_201206,c_201221,c_42]) ).
tff(c_201362,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_201361]) ).
tff(c_201304,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_90]) ).
tff(c_201305,plain,
( ( op(e2,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_200412,c_198,c_201304]) ).
tff(c_201306,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_201305]) ).
tff(c_201310,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201306,c_144]) ).
tff(c_201200,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201165,c_180]) ).
tff(c_201317,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198021,c_201310,c_201200,c_30]) ).
tff(c_201441,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201362,c_198023,c_201362,c_201317,c_201362,c_198023,c_201362,c_732]) ).
tff(c_201442,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_201305]) ).
tff(c_201226,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_201221,c_116]) ).
tff(c_201444,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_201226,c_158142,c_16]) ).
tff(c_201445,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_201444]) ).
tff(c_201451,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201445,c_190]) ).
tff(c_201457,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_201292,c_92]) ).
tff(c_201458,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_201451,c_204,c_196,c_201457]) ).
tff(c_201480,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201458,c_198020,c_201292,c_88]) ).
tff(c_201481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158144,c_198,c_202,c_194,c_201480]) ).
tff(c_201482,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_201444]) ).
tff(c_201494,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_201442,c_201482]) ).
tff(c_201495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_201494]) ).
tff(c_201496,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_201220]) ).
tff(c_201498,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_201496]) ).
tff(c_201504,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201498,c_116]) ).
tff(c_201523,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_201518,c_158142,c_201504,c_16]) ).
tff(c_201529,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_201523,c_186]) ).
tff(c_201197,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201165,c_132]) ).
tff(c_201548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201529,c_200412,c_158143,c_201197,c_24]) ).
tff(c_201549,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_201511]) ).
tff(c_201621,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198027,c_200414,c_200400,c_12]) ).
tff(c_201641,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201549,c_201621,c_201498,c_64]) ).
tff(c_201642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198036,c_202,c_200,c_201641]) ).
tff(c_201643,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_201496]) ).
tff(c_201647,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201643,c_146]) ).
tff(c_201678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198039,c_201647,c_158141,c_200402,c_2]) ).
tff(c_201679,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_200408]) ).
tff(c_201684,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201679,c_122]) ).
tff(c_201692,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_201684,c_18]) ).
tff(c_201693,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_201692]) ).
tff(c_201696,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_201693,c_128]) ).
tff(c_201714,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_84]) ).
tff(c_201715,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_201714]) ).
tff(c_201716,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_201715]) ).
tff(c_201721,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201716,c_192]) ).
tff(c_201938,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_201696,c_158143,c_201721,c_24]) ).
tff(c_201942,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201938,c_132]) ).
tff(c_201720,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201716,c_144]) ).
tff(c_201775,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198021,c_201720,c_30]) ).
tff(c_201776,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_201775]) ).
tff(c_201781,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201776,c_180]) ).
tff(c_201686,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201679,c_126]) ).
tff(c_201786,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_198035,c_201781,c_201686,c_22]) ).
tff(c_201719,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201716,c_140]) ).
tff(c_201796,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_186605,c_201709,c_201719,c_26]) ).
tff(c_201925,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201786,c_201693,c_201786,c_201796,c_201786,c_201693,c_201786,c_754]) ).
tff(c_201926,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_201775]) ).
tff(c_201950,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201926,c_198023,c_74]) ).
tff(c_201951,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_201942,c_204,c_201950]) ).
tff(c_201957,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201951,c_114]) ).
tff(c_201685,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201679,c_162]) ).
tff(c_201968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198027,c_201957,c_201685,c_200400,c_12]) ).
tff(c_201969,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_201715]) ).
tff(c_201971,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_201969]) ).
tff(c_201981,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_201971,c_92]) ).
tff(c_201982,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_201981]) ).
tff(c_201983,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_201982]) ).
tff(c_201988,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201983,c_192]) ).
tff(c_201987,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_201983,c_144]) ).
tff(c_201974,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_201971,c_136]) ).
tff(c_201994,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198021,c_201987,c_201974,c_30]) ).
tff(c_202008,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198035,c_201686,c_22]) ).
tff(c_202009,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_202008]) ).
tff(c_202013,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202009,c_174]) ).
tff(c_201998,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_201994,c_178]) ).
tff(c_202101,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_198036,c_202013,c_201998,c_14]) ).
tff(c_202131,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201983,c_201994,c_201983,c_202101,c_201994,c_201983,c_201983,c_734]) ).
tff(c_202132,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_202008]) ).
tff(c_202136,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202132,c_132]) ).
tff(c_202168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201696,c_201988,c_158143,c_202136,c_24]) ).
tff(c_202169,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_201982]) ).
tff(c_202192,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202169,c_198020,c_201971,c_88]) ).
tff(c_202193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158144,c_198,c_202,c_194,c_202192]) ).
tff(c_202194,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_201969]) ).
tff(c_202205,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202194,c_198020,c_92]) ).
tff(c_202206,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_201709,c_202205]) ).
tff(c_202219,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202206,c_202194,c_198020,c_88]) ).
tff(c_202220,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_202219]) ).
tff(c_202239,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202220,c_201693,c_201704,c_34]) ).
tff(c_202240,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_202239]) ).
tff(c_202261,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198027,c_201685,c_200400,c_12]) ).
tff(c_202391,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198023,c_201704,c_201704,c_202240,c_202261,c_201679,c_202194,c_202206,c_220]) ).
tff(c_202392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_198,c_200,c_202391]) ).
tff(c_202393,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_201692]) ).
tff(c_202395,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_202393]) ).
tff(c_202402,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202395,c_156]) ).
tff(c_202432,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_32]) ).
tff(c_202433,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_202432]) ).
tff(c_202459,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198039,c_158141,c_200402,c_2]) ).
tff(c_202463,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202459,c_146]) ).
tff(c_202436,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202433,c_140]) ).
tff(c_202491,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_186605,c_202436,c_202402,c_26]) ).
tff(c_202495,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202491,c_154]) ).
tff(c_202400,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202395,c_150]) ).
tff(c_202504,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202463,c_202495,c_202400,c_10]) ).
tff(c_202401,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202395,c_124]) ).
tff(c_202407,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198035,c_201686,c_202401,c_22]) ).
tff(c_202411,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202407,c_132]) ).
tff(c_202399,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202395,c_128]) ).
tff(c_202469,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202411,c_158143,c_202399,c_24]) ).
tff(c_202473,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_202469,c_186]) ).
tff(c_202439,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202433,c_190]) ).
tff(c_202534,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_202473,c_202439,c_158142,c_16]) ).
tff(c_202418,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198021,c_30]) ).
tff(c_202419,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_202418]) ).
tff(c_202413,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202407,c_180]) ).
tff(c_202429,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_202419,c_202413]) ).
tff(c_202430,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_202418]) ).
tff(c_202444,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_202430]) ).
tff(c_460,plain,
( ( op(e0,op(e0,e0)) = e0 )
| ( op(e0,op(e1,e0)) = e0 )
| ( op(e0,op(e2,e0)) = e0 )
| ( op(e2,op(e3,e2)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_202615,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202504,c_200396,c_202491,c_202534,c_202433,c_202469,c_202444,c_202433,c_460]) ).
tff(c_202616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_204,c_200,c_202615]) ).
tff(c_202617,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_202430]) ).
tff(c_202641,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202433,c_202617,c_198020,c_84]) ).
tff(c_202642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_202402,c_202641]) ).
tff(c_202643,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_202432]) ).
tff(c_202648,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202643,c_144]) ).
tff(c_202656,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202648,c_202430]) ).
tff(c_202660,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202656,c_136]) ).
tff(c_202666,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186605,c_202402,c_26]) ).
tff(c_202667,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_202666]) ).
tff(c_202670,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202667,c_152]) ).
tff(c_202692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198039,c_202670,c_158141,c_200402,c_2]) ).
tff(c_202693,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_202666]) ).
tff(c_202695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202660,c_202693]) ).
tff(c_202696,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_202393]) ).
tff(c_202700,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202696,c_148]) ).
tff(c_202766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198039,c_202700,c_158141,c_200402,c_2]) ).
tff(c_202767,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_198022]) ).
tff(c_202779,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_202767]) ).
tff(c_205016,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202779,c_100]) ).
tff(c_202780,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158141,c_2]) ).
tff(c_202781,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_202780]) ).
tff(c_202794,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_202781,c_148]) ).
tff(c_202786,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202779,c_176]) ).
tff(c_202803,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_88]) ).
tff(c_202804,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_202803]) ).
tff(c_202805,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_202804]) ).
tff(c_202816,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202805,c_198020,c_84]) ).
tff(c_202817,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_202816]) ).
tff(c_202818,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_202817]) ).
tff(c_202773,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_168]) ).
tff(c_202914,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202818,c_202805,c_198020,c_92]) ).
tff(c_202915,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_202914]) ).
tff(c_202919,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202915,c_156]) ).
tff(c_202795,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_202781,c_146]) ).
tff(c_202828,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_202795,c_10]) ).
tff(c_202829,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_202828]) ).
tff(c_202832,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_202829,c_154]) ).
tff(c_202808,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202805,c_136]) ).
tff(c_202821,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202818,c_140]) ).
tff(c_202897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186605,c_202832,c_202808,c_202821,c_26]) ).
tff(c_202898,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_202828]) ).
tff(c_202900,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_202898]) ).
tff(c_202903,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202900,c_150]) ).
tff(c_202966,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202794,c_202919,c_202903,c_18]) ).
tff(c_203096,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_202818,c_202915,c_202818,c_202966,c_202818,c_202915,c_202818,c_758]) ).
tff(c_203097,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_202898]) ).
tff(c_203101,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203097,c_150]) ).
tff(c_203111,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_202794,c_18]) ).
tff(c_203112,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_203111]) ).
tff(c_203114,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203112,c_128]) ).
tff(c_202822,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202818,c_192]) ).
tff(c_203147,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_203114,c_158143,c_202822,c_24]) ).
tff(c_203151,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_203147,c_132]) ).
tff(c_203115,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203112,c_124]) ).
tff(c_202811,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202805,c_180]) ).
tff(c_202784,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202779,c_172]) ).
tff(c_203158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203151,c_203115,c_202811,c_202784,c_22]) ).
tff(c_203159,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_203111]) ).
tff(c_203173,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_203101,c_203159]) ).
tff(c_203209,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_202779,c_202781,c_44]) ).
tff(c_203210,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_203209]) ).
tff(c_203161,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202811,c_202784,c_22]) ).
tff(c_203162,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_203161]) ).
tff(c_203165,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_203162,c_132]) ).
tff(c_203184,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_203165,c_158143,c_202822,c_24]) ).
tff(c_203188,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203184,c_130]) ).
tff(c_203178,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203173,c_122]) ).
tff(c_203226,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202773,c_203188,c_203178,c_20]) ).
tff(c_203354,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203173,c_202779,c_203210,c_203097,c_202805,c_203184,c_203226,c_202805,c_490]) ).
tff(c_203355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_202,c_198,c_203354]) ).
tff(c_203356,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_203161]) ).
tff(c_203369,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203356,c_80]) ).
tff(c_203370,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202773,c_202794,c_203369]) ).
tff(c_203395,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202818,c_203370,c_158135,c_90]) ).
tff(c_203396,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_203395]) ).
tff(c_203536,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_202781,c_158135,c_202781,c_203396,c_158135,c_202781,c_202781,c_724]) ).
tff(c_203538,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_202817]) ).
tff(c_203548,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_203538,c_32]) ).
tff(c_203552,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203548,c_192]) ).
tff(c_203900,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_203552,c_158143,c_24]) ).
tff(c_203901,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_203900]) ).
tff(c_203904,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_203901,c_132]) ).
tff(c_203912,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202805,c_202779,c_74]) ).
tff(c_203913,plain,
( ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_203912]) ).
tff(c_203914,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_203913]) ).
tff(c_203918,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203914,c_124]) ).
tff(c_203537,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_202817]) ).
tff(c_203542,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203537,c_154]) ).
tff(c_203560,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_202795,c_203542,c_10]) ).
tff(c_203561,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_203560]) ).
tff(c_203564,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203561,c_150]) ).
tff(c_202787,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202779,c_102]) ).
tff(c_203822,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_202774,c_158140,c_202787,c_4]) ).
tff(c_203827,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203822,c_160]) ).
tff(c_203572,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_203552,c_158143,c_24]) ).
tff(c_203573,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_203572]) ).
tff(c_203579,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_203573,c_186]) ).
tff(c_203553,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203548,c_190]) ).
tff(c_203565,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203561,c_112]) ).
tff(c_202810,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_202805,c_178]) ).
tff(c_202785,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_202779,c_170]) ).
tff(c_203645,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_203565,c_202810,c_202785,c_14]) ).
tff(c_203596,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_202774,c_158140,c_202787,c_4]) ).
tff(c_203584,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202805,c_202779,c_74]) ).
tff(c_203585,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_203565,c_196,c_203584]) ).
tff(c_203590,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203585,c_126]) ).
tff(c_202772,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_166]) ).
tff(c_203567,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_203561,c_110]) ).
tff(c_203612,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202772,c_203567,c_12]) ).
tff(c_203613,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_203612]) ).
tff(c_203617,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203613,c_162]) ).
tff(c_203656,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_202773,c_203590,c_203617,c_20]) ).
tff(c_203747,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203645,c_203596,c_203573,c_203645,c_203561,c_203656,c_202781,c_203537,c_406]) ).
tff(c_203748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_198,c_200,c_203747]) ).
tff(c_203749,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_203612]) ).
tff(c_203753,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203749,c_118]) ).
tff(c_203808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203579,c_203553,c_158142,c_203753,c_16]) ).
tff(c_203809,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_203572]) ).
tff(c_203815,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203809,c_130]) ).
tff(c_203853,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202773,c_203827,c_203815,c_20]) ).
tff(c_203857,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203853,c_122]) ).
tff(c_203543,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_203537,c_156]) ).
tff(c_203886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202794,c_203564,c_203857,c_203543,c_18]) ).
tff(c_203887,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_203560]) ).
tff(c_203982,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_203537,c_203887,c_202781,c_42]) ).
tff(c_203983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_203918,c_198,c_204,c_203982]) ).
tff(c_203985,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_203913]) ).
tff(c_204003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203904,c_203985,c_202811,c_202784,c_22]) ).
tff(c_204004,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_203900]) ).
tff(c_204045,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202811,c_202784,c_22]) ).
tff(c_204046,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_204045]) ).
tff(c_204178,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_204046,c_204004,c_204046,c_158135,c_204046,c_204004,c_204046,c_726]) ).
tff(c_204179,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_204045]) ).
tff(c_203891,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_203887,c_150]) ).
tff(c_204029,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_204004,c_72]) ).
tff(c_204030,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202811,c_203891,c_204029]) ).
tff(c_204200,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_204004,c_204179,c_204030,c_80]) ).
tff(c_204201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_202794,c_204200]) ).
tff(c_204202,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_202804]) ).
tff(c_204213,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_204202,c_84]) ).
tff(c_204214,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_202786,c_200,c_194,c_204213]) ).
tff(c_204714,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_204214,c_158135,c_90]) ).
tff(c_204715,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204714]) ).
tff(c_204716,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_204715]) ).
tff(c_204720,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_204716,c_128]) ).
tff(c_204208,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_204202,c_156]) ).
tff(c_204207,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_204202,c_154]) ).
tff(c_204224,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_202795,c_204207,c_10]) ).
tff(c_204225,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_204224]) ).
tff(c_204554,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_204214,c_204202,c_204214,c_204225,c_204202,c_204214,c_204214,c_762]) ).
tff(c_204555,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_204224]) ).
tff(c_204559,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_204555,c_150]) ).
tff(c_204792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202794,c_204720,c_204208,c_204559,c_18]) ).
tff(c_204793,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_204715]) ).
tff(c_205007,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_202781,c_158135,c_202781,c_204793,c_158135,c_202781,c_202781,c_724]) ).
tff(c_205008,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_202780]) ).
tff(c_205021,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_205016,c_205008]) ).
tff(c_205127,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_202779,c_205021,c_48]) ).
tff(c_205128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_202774,c_204,c_205127]) ).
tff(c_205129,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_202767]) ).
tff(c_205136,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_205129,c_102]) ).
tff(c_208564,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_202774,c_205136,c_158140,c_4]) ).
tff(c_208570,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208564,c_98]) ).
tff(c_205137,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_205129,c_100]) ).
tff(c_206591,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158141,c_2]) ).
tff(c_206592,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_206591]) ).
tff(c_206596,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_206592,c_148]) ).
tff(c_205135,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_205129,c_176]) ).
tff(c_205134,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_205129,c_170]) ).
tff(c_206101,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198021,c_205135,c_30]) ).
tff(c_206102,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_206101]) ).
tff(c_206108,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206102,c_180]) ).
tff(c_205142,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_202773,c_20]) ).
tff(c_205143,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_205142]) ).
tff(c_205133,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_205129,c_172]) ).
tff(c_205793,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_205133,c_22]) ).
tff(c_205794,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_205793]) ).
tff(c_205797,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_205794,c_174]) ).
tff(c_205205,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_205137,c_158141,c_2]) ).
tff(c_205206,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_205205]) ).
tff(c_205210,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_205206,c_146]) ).
tff(c_205149,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_205143,c_162]) ).
tff(c_205369,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_16]) ).
tff(c_205370,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_205369]) ).
tff(c_205374,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_205370,c_120]) ).
tff(c_205146,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_205143,c_130]) ).
tff(c_205147,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_205143,c_122]) ).
tff(c_205155,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_205147,c_18]) ).
tff(c_205156,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_205155]) ).
tff(c_205158,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_205156,c_148]) ).
tff(c_205192,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_202774,c_205136,c_158140,c_4]) ).
tff(c_205197,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_205192,c_98]) ).
tff(c_205202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_205158,c_205137,c_158141,c_205197,c_2]) ).
tff(c_205203,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_205155]) ).
tff(c_205217,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_205203]) ).
tff(c_205220,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_205217,c_128]) ).
tff(c_205333,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_205146,c_158143,c_205220,c_24]) ).
tff(c_205337,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_205333,c_132]) ).
tff(c_205228,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198021,c_205135,c_30]) ).
tff(c_205229,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_205228]) ).
tff(c_205235,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205229,c_180]) ).
tff(c_205222,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_205217,c_124]) ).
tff(c_205355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_205337,c_205133,c_205235,c_205222,c_22]) ).
tff(c_205356,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_205228]) ).
tff(c_205403,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_205133,c_205222,c_22]) ).
tff(c_205404,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_205403]) ).
tff(c_205415,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205356,c_205404,c_205129,c_70]) ).
tff(c_205416,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_205415]) ).
tff(c_205421,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205416,c_114]) ).
tff(c_205443,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_202772,c_205149,c_205421,c_12]) ).
tff(c_205447,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_205443,c_158]) ).
tff(c_205460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202774,c_205136,c_158140,c_205447,c_4]) ).
tff(c_205461,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_205403]) ).
tff(c_205500,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205356,c_205461,c_205129,c_78]) ).
tff(c_205501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_205374,c_204,c_205500]) ).
tff(c_205502,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_205369]) ).
tff(c_205504,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_205502]) ).
tff(c_205507,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_205504,c_118]) ).
tff(c_205562,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202772,c_205149,c_205507,c_12]) ).
tff(c_205567,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205562,c_114]) ).
tff(c_205528,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_205133,c_205222,c_22]) ).
tff(c_205529,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_205528]) ).
tff(c_205573,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205356,c_205529,c_205129,c_70]) ).
tff(c_205574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_205567,c_198,c_205573]) ).
tff(c_205575,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_205528]) ).
tff(c_205602,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205356,c_205575,c_205129,c_78]) ).
tff(c_205603,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_205602]) ).
tff(c_205518,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205356,c_198020,c_88]) ).
tff(c_205519,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_194,c_202,c_205518]) ).
tff(c_205523,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205519,c_154]) ).
tff(c_205638,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205504,c_205603,c_56]) ).
tff(c_205639,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_205523,c_205638]) ).
tff(c_205650,plain,
( ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205504,c_205603,c_205639,c_60]) ).
tff(c_205651,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_205650]) ).
tff(c_205742,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205575,c_205129,c_205129,c_205651,c_205206,c_205217,c_205217,c_205356,c_466]) ).
tff(c_205743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_200,c_196,c_205742]) ).
tff(c_205744,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_205502]) ).
tff(c_205749,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_205744,c_116]) ).
tff(c_205221,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_205217,c_150]) ).
tff(c_205758,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_205210,c_205749,c_205221,c_10]) ).
tff(c_205762,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205758,c_154]) ).
tff(c_205779,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205356,c_198020,c_88]) ).
tff(c_205780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158144,c_194,c_202,c_205762,c_205779]) ).
tff(c_205781,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_205203]) ).
tff(c_205843,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205794,c_205143,c_205781,c_68]) ).
tff(c_205844,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_205843]) ).
tff(c_205832,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_16]) ).
tff(c_205833,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_205832]) ).
tff(c_205857,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205844,c_205833,c_158135,c_90]) ).
tff(c_205858,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_205857]) ).
tff(c_205788,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205781,c_156]) ).
tff(c_205805,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_88]) ).
tff(c_205806,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_205788,c_205805]) ).
tff(c_205902,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205806,c_205794,c_205129,c_66]) ).
tff(c_205903,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_205902]) ).
tff(c_205964,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_205858,c_205806,c_205858,c_205903,c_205858,c_205806,c_205858,c_734]) ).
tff(c_205965,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_205832]) ).
tff(c_205967,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_205965]) ).
tff(c_205975,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_205967,c_186]) ).
tff(c_206004,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_205794,c_205143,c_205781,c_68]) ).
tff(c_206005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_205975,c_200,c_196,c_194,c_206004]) ).
tff(c_206006,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_205965]) ).
tff(c_205820,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202772,c_205149,c_12]) ).
tff(c_205821,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_205820]) ).
tff(c_206010,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206006,c_116]) ).
tff(c_205786,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205781,c_150]) ).
tff(c_206021,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_205210,c_206010,c_205786,c_10]) ).
tff(c_206031,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206006,c_205821,c_206021,c_64]) ).
tff(c_206032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_205797,c_202,c_200,c_206031]) ).
tff(c_206033,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_205820]) ).
tff(c_206097,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_205143,c_206033,c_54]) ).
tff(c_206098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_158140,c_206097]) ).
tff(c_206099,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_205793]) ).
tff(c_206116,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_206108,c_206099]) ).
tff(c_206343,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206102,c_206116,c_205129,c_78]) ).
tff(c_206344,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_206343]) ).
tff(c_206348,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_206344,c_120]) ).
tff(c_206126,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_205210,c_205786,c_10]) ).
tff(c_206127,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_206126]) ).
tff(c_206245,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_202774,c_205136,c_158140,c_4]) ).
tff(c_206120,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206116,c_132]) ).
tff(c_206237,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_205146,c_158143,c_206120,c_24]) ).
tff(c_206150,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_205146,c_158143,c_206120,c_24]) ).
tff(c_206132,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206127,c_116]) ).
tff(c_206138,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_206132,c_158142,c_16]) ).
tff(c_206139,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_206138]) ).
tff(c_206144,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_206139,c_186]) ).
tff(c_206160,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_206150,c_206144]) ).
tff(c_206161,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_206138]) ).
tff(c_206202,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206161,c_206127,c_64]) ).
tff(c_206203,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202772,c_204,c_206202]) ).
tff(c_206130,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206127,c_154]) ).
tff(c_206174,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206102,c_198020,c_92]) ).
tff(c_206175,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_206130,c_206174]) ).
tff(c_206328,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206127,c_206245,c_206237,c_206203,c_206203,c_205143,c_206102,c_206175,c_412]) ).
tff(c_206329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_202,c_206328]) ).
tff(c_206330,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_206126]) ).
tff(c_206336,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206330,c_116]) ).
tff(c_206354,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_206348,c_158142,c_206336,c_16]) ).
tff(c_206360,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206354,c_190]) ).
tff(c_206404,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_175392,c_206360,c_158144,c_32]) ).
tff(c_206105,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206102,c_136]) ).
tff(c_206334,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206330,c_154]) ).
tff(c_206427,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_186605,c_206105,c_206334,c_26]) ).
tff(c_206480,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_206404,c_206427,c_206404,c_205781,c_206427,c_206404,c_206404,c_758]) ).
tff(c_206481,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_206101]) ).
tff(c_206490,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206481,c_180]) ).
tff(c_205787,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_205781,c_124]) ).
tff(c_206497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206490,c_205787,c_206099]) ).
tff(c_206498,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_205205]) ).
tff(c_206587,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_205129,c_206498,c_48]) ).
tff(c_206588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_202774,c_200,c_206587]) ).
tff(c_206589,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_205142]) ).
tff(c_207996,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_206589]) ).
tff(c_208003,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207996,c_126]) ).
tff(c_206604,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_205133,c_22]) ).
tff(c_206605,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_206604]) ).
tff(c_206607,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_206605,c_132]) ).
tff(c_206616,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_206589]) ).
tff(c_206621,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206616,c_160]) ).
tff(c_206761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202774,c_205136,c_158140,c_206621,c_4]) ).
tff(c_206762,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_206589]) ).
tff(c_206767,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206762,c_122]) ).
tff(c_207938,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_206596,c_206767,c_18]) ).
tff(c_207939,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_207938]) ).
tff(c_207942,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207939,c_128]) ).
tff(c_206610,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_206605,c_174]) ).
tff(c_206982,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_32]) ).
tff(c_206983,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_206982]) ).
tff(c_206988,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206983,c_192]) ).
tff(c_206995,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_206607,c_206988,c_158143,c_24]) ).
tff(c_207167,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_206605,c_206995,c_206605,c_158135,c_206605,c_206995,c_206605,c_726]) ).
tff(c_207168,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_206982]) ).
tff(c_207223,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207168,c_192]) ).
tff(c_206597,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_206592,c_146]) ).
tff(c_206777,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_206597,c_10]) ).
tff(c_206778,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_206777]) ).
tff(c_206784,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_206778,c_110]) ).
tff(c_206769,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_206762,c_162]) ).
tff(c_206899,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_202772,c_206784,c_206769,c_12]) ).
tff(c_206955,plain,
( ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_206762,c_206899,c_58]) ).
tff(c_206956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_205136,c_206955]) ).
tff(c_206957,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_206777]) ).
tff(c_206971,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_206957]) ).
tff(c_206974,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_206971,c_150]) ).
tff(c_207170,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_206607,c_158143,c_24]) ).
tff(c_207171,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_207170]) ).
tff(c_207215,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207171,c_206605,c_206762,c_68]) ).
tff(c_207216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_206974,c_207215]) ).
tff(c_207217,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_207170]) ).
tff(c_207238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207223,c_207217]) ).
tff(c_207239,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_206957]) ).
tff(c_207246,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_207239,c_112]) ).
tff(c_207409,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_206610,c_205134,c_207246,c_14]) ).
tff(c_207364,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158135,c_205129,c_206592,c_36]) ).
tff(c_207365,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_207364]) ).
tff(c_207369,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207365,c_158]) ).
tff(c_207374,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_202772,c_206769,c_207369,c_12]) ).
tff(c_207263,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_206607,c_158143,c_24]) ).
tff(c_207264,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_207263]) ).
tff(c_207267,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207264,c_128]) ).
tff(c_207273,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207239,c_206592,c_34]) ).
tff(c_207274,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_207273]) ).
tff(c_207275,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_207274]) ).
tff(c_207279,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207275,c_156]) ).
tff(c_207319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206596,c_207267,c_206767,c_207279,c_18]) ).
tff(c_207320,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_207274]) ).
tff(c_207252,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198021,c_205135,c_30]) ).
tff(c_207253,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_207252]) ).
tff(c_207477,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206605,c_205129,c_207409,c_207374,c_206592,c_207320,c_206762,c_207253,c_498]) ).
tff(c_207478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_200,c_198,c_207477]) ).
tff(c_207479,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_207263]) ).
tff(c_206959,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158142,c_16]) ).
tff(c_206960,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_206959]) ).
tff(c_207519,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207479,c_206960,c_158135,c_90]) ).
tff(c_207520,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_207519]) ).
tff(c_207589,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_206610,c_205134,c_207246,c_14]) ).
tff(c_207620,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_207520,c_207253,c_207520,c_207589,c_207520,c_207253,c_207520,c_734]) ).
tff(c_207621,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_207252]) ).
tff(c_207625,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207621,c_136]) ).
tff(c_207643,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_206607,c_158143,c_24]) ).
tff(c_207644,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_207643]) ).
tff(c_207626,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207621,c_144]) ).
tff(c_207633,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_207626,c_32]) ).
tff(c_207638,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207633,c_192]) ).
tff(c_207653,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_207644,c_207638]) ).
tff(c_207654,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_207643]) ).
tff(c_207690,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207654,c_206605,c_206762,c_76]) ).
tff(c_207691,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_207690]) ).
tff(c_207700,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207691,c_207239,c_206592,c_34]) ).
tff(c_207701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207625,c_196,c_194,c_200,c_207700]) ).
tff(c_207702,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_206959]) ).
tff(c_207777,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_207702]) ).
tff(c_207780,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207777,c_118]) ).
tff(c_207800,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_202772,c_206769,c_207780,c_12]) ).
tff(c_207716,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_206957]) ).
tff(c_207719,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207716,c_150]) ).
tff(c_207728,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_206596,c_206767,c_207719,c_18]) ).
tff(c_207732,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207728,c_128]) ).
tff(c_207722,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207716,c_116]) ).
tff(c_207738,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_207722,c_207702]) ).
tff(c_207745,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207738,c_190]) ).
tff(c_207752,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_175392,c_207745,c_158144,c_32]) ).
tff(c_207757,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207752,c_192]) ).
tff(c_207762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206607,c_207732,c_158143,c_207757,c_24]) ).
tff(c_207763,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_206957]) ).
tff(c_207820,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207777,c_207800,c_207763,c_64]) ).
tff(c_207821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_206610,c_204,c_202,c_207820]) ).
tff(c_207822,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_207702]) ).
tff(c_207829,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207822,c_190]) ).
tff(c_207835,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_206607,c_158143,c_24]) ).
tff(c_207836,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_207835]) ).
tff(c_207828,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207822,c_186]) ).
tff(c_207846,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_207836,c_207828]) ).
tff(c_207847,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_207835]) ).
tff(c_207852,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207847,c_128]) ).
tff(c_207858,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_206596,c_206767,c_207852,c_18]) ).
tff(c_207862,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207858,c_156]) ).
tff(c_207704,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_88]) ).
tff(c_207705,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158144,c_202,c_207704]) ).
tff(c_207706,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_207705]) ).
tff(c_207880,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_207706,c_198020,c_92]) ).
tff(c_207881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207829,c_198,c_204,c_207862,c_207880]) ).
tff(c_207882,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_207705]) ).
tff(c_207887,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_207882,c_154]) ).
tff(c_207904,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_207887,c_206957]) ).
tff(c_207910,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207904,c_116]) ).
tff(c_207893,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_32]) ).
tff(c_207894,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_207893]) ).
tff(c_207899,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_207894,c_190]) ).
tff(c_207925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207910,c_207899,c_207702]) ).
tff(c_207926,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_207893]) ).
tff(c_207931,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207926,c_192]) ).
tff(c_207972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206607,c_207942,c_158143,c_207931,c_24]) ).
tff(c_207973,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_207938]) ).
tff(c_207987,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207973,c_150]) ).
tff(c_207993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207987,c_207887,c_206957]) ).
tff(c_207994,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_206604]) ).
tff(c_208010,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_208003,c_207994]) ).
tff(c_208016,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208010,c_174]) ).
tff(c_208017,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208010,c_180]) ).
tff(c_208022,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_198021,c_205135,c_208017,c_30]) ).
tff(c_208028,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208022,c_178]) ).
tff(c_208161,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_205134,c_208016,c_208028,c_14]) ).
tff(c_208027,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208022,c_144]) ).
tff(c_208059,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_208027,c_32]) ).
tff(c_208095,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208059,c_158135,c_94]) ).
tff(c_208096,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_208095]) ).
tff(c_208097,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_208096]) ).
tff(c_208101,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_208097,c_186]) ).
tff(c_208064,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_208059,c_190]) ).
tff(c_208000,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_207996,c_122]) ).
tff(c_208026,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208022,c_136]) ).
tff(c_208035,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_186605,c_208026,c_26]) ).
tff(c_208036,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_208035]) ).
tff(c_208039,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_208036,c_140]) ).
tff(c_208046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175392,c_208039,c_158144,c_208027,c_32]) ).
tff(c_208047,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_208035]) ).
tff(c_208069,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208047,c_206592,c_34]) ).
tff(c_208070,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_208000,c_200,c_208069]) ).
tff(c_208075,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208070,c_116]) ).
tff(c_208148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208101,c_208064,c_158142,c_208075,c_16]) ).
tff(c_208149,plain,
op(e2,e0) = e0,
inference(splitRight,[status(thm)],[c_208096]) ).
tff(c_208155,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_208149,c_120]) ).
tff(c_208171,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_208161,c_208155]) ).
tff(c_208172,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_206589]) ).
tff(c_208180,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208172,c_126]) ).
tff(c_208186,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_208180,c_207994]) ).
tff(c_208198,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_175392,c_158144,c_32]) ).
tff(c_208199,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_208198]) ).
tff(c_208202,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_208199,c_140]) ).
tff(c_208193,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208186,c_180]) ).
tff(c_208210,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_206597,c_10]) ).
tff(c_208211,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_208210]) ).
tff(c_208213,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_208211,c_150]) ).
tff(c_208177,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208172,c_122]) ).
tff(c_208191,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208186,c_124]) ).
tff(c_208246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206596,c_208213,c_208177,c_208191,c_18]) ).
tff(c_208247,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_208210]) ).
tff(c_208249,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_208247]) ).
tff(c_208253,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208249,c_154]) ).
tff(c_208267,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_186605,c_208202,c_208253,c_26]) ).
tff(c_208290,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208199,c_198020,c_208267,c_84]) ).
tff(c_208291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_208193,c_200,c_194,c_208290]) ).
tff(c_208292,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_208247]) ).
tff(c_208297,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_208292,c_154]) ).
tff(c_208306,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_186605,c_208202,c_208297,c_26]) ).
tff(c_208204,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_208199,c_192]) ).
tff(c_208190,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_208186,c_132]) ).
tff(c_208320,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_208204,c_158143,c_208190,c_24]) ).
tff(c_208325,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_208320,c_186]) ).
tff(c_208205,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_208199,c_190]) ).
tff(c_208411,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_208325,c_208205,c_158142,c_16]) ).
tff(c_208364,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_206596,c_208177,c_208191,c_18]) ).
tff(c_208394,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208199,c_198020,c_208306,c_88]) ).
tff(c_208395,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_208394]) ).
tff(c_208480,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208186,c_205129,c_208306,c_208411,c_205129,c_208364,c_208172,c_208395,c_562]) ).
tff(c_208481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_196,c_198,c_208480]) ).
tff(c_208482,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_208198]) ).
tff(c_208551,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208482,c_198020,c_92]) ).
tff(c_208552,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_205135,c_204,c_208551]) ).
tff(c_208556,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_208552,c_156]) ).
tff(c_208561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206596,c_208556,c_208177,c_208191,c_18]) ).
tff(c_208562,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_206591]) ).
tff(c_208576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208570,c_205137,c_208562]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG132+1 : TPTP v9.0.0. Released v2.7.0.
% 0.10/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Apr 6 07:03:04 EDT 2025
% 0.14/0.34 % CPUTime :
% 30.24/17.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.77/46.20
% 60.77/46.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------